{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quick start" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histpy library provides a [Histogram](../api/histogram.rst) class which is, essentially, an array with axes attached defining the bin boundaries. The histpy library class is loosely based on [ROOT's histogram](https://root.cern/manual/histograms/) but using a more pythonic interface.\n", "\n", "The histpy library supports:\n", "- Histograms with an arbitrary number of dimensions.\n", "- Numpy-like element indexing.\n", "- Multiple operations: projection, slicing, addition, multiplication, concatenation, rebinning, fitting, interpolation and plotting.\n", "- Tracking of under and overflow contents along each axes.\n", "- Weighted histograms.\n", "- Automatic error propagation.\n", "- [Astropy's units](https://docs.astropy.org/en/stable/units/index.html), both for the histogram contents and the axis edges.\n", "- Spherical coordinates axes, using the [HEALPix](https://healpix.sourceforge.io/) grid.\n", "- [Sparse](https://sparse.pydata.org/en/stable/) contents\n", "- I/O to/from [HDF5](https://www.hdfgroup.org/solutions/hdf5/) files.\n", "- Native support for astropy `Time` and `TimeDelta` objects.\n", "\n", "This is an overview of all of these features. More details can be found in the [API](../api/index.rst) documentation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Histogram object is defined by a series of bin edges (one more than the number of bins)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from histpy import Histogram\n", "import numpy as np\n", "\n", "h = Histogram(np.linspace(-5,5,101))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The edges become part of the histograms' [Axis](../api/axis.rst)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bins:\n", "Bin centroids: [-4.95 -4.85 -4.75 -4.65 -4.55 -4.45 -4.35 -4.25 -4.15 -4.05 -3.95 -3.85\n", " -3.75 -3.65 -3.55 -3.45 -3.35 -3.25 -3.15 -3.05 -2.95 -2.85 -2.75 -2.65\n", " -2.55 -2.45 -2.35 -2.25 -2.15 -2.05 -1.95 -1.85 -1.75 -1.65 -1.55 -1.45\n", " -1.35 -1.25 -1.15 -1.05 -0.95 -0.85 -0.75 -0.65 -0.55 -0.45 -0.35 -0.25\n", " -0.15 -0.05 0.05 0.15 0.25 0.35 0.45 0.55 0.65 0.75 0.85 0.95\n", " 1.05 1.15 1.25 1.35 1.45 1.55 1.65 1.75 1.85 1.95 2.05 2.15\n", " 2.25 2.35 2.45 2.55 2.65 2.75 2.85 2.95 3.05 3.15 3.25 3.35\n", " 3.45 3.55 3.65 3.75 3.85 3.95 4.05 4.15 4.25 4.35 4.45 4.55\n", " 4.65 4.75 4.85 4.95]\n" ] } ], "source": [ "print(\"Number of bins:\".format(h.axis.nbins))\n", "print(\"Bin centroids: {}\".format(h.axis.centers))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Specify the edges for multiple axes to get a histogram with an arbitrary number of dimensions. You can label the axes." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Axis 'x' has 200 bins\n", "Axis 'y' has 100 bins\n" ] } ], "source": [ "h2D = Histogram([np.linspace(10,30,201), np.linspace(0,5,101)], labels = ['x','y'])\n", "\n", "for axis in h2D.axes:\n", " print(\"Axis '{}' has {} bins\".format(axis.label, axis.nbins))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can fill the histogram entry by entry" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "np.random.seed(0)\n", "for x in np.random.normal(size = 10000):\n", " h.fill(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or all at once:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "x = np.random.normal(loc = 21, scale = 2, size = 10000)\n", "y = np.random.normal(loc = 3, scale = .2, size = 10000)\n", "\n", "h2D.fill(x,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The latter is recommended for performance reasons." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can plot 1D and 2D histograms using `plot()`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2D histograms can also be plotted:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h2D.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting histograms with a number of dimensions >=3 is not currently supported." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histograms are plotted using matplotlib. In the case of 1D histograms, `plot()` is a wrapper for [`errorbar()`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.errorbar.html). For 2D histogram, it uses [`pcolormesh()`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.pcolormesh.html).\n", "\n", "By default, `plot()` creates a new set of matplotlib axes. These are returned together with the plot handle so you can use to further customize the plot:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax,plot = h.plot()\n", "\n", "ax.set_xlabel(\"x-axis label\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, alternatively, you can pass the matplotlib axes where you want the plot. e.g." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig,ax = plt.subplots(ncols = 2, figsize = [15,5])\n", "\n", "h.plot(ax[0], label = \"Example\")\n", "ax[0].legend()\n", "\n", "h2D.plot(ax[1], cmap = 'magma')\n", "ax[1].set_title(\"2D plot\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method `draw()` is an alias for `plot()` kept for backwards compatibility." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Underflow and overflow tracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The number of samples beyond an axis range can be tracked by setting `track_overflow = True`. Despite the abbreviated name, it tracks underflow values as well. \n", "\n", "When plotting 1D histogram, the underflow and overflow are represented by \"spikes\" on either end:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(, )" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = Histogram(np.linspace(-5,5,101), track_overflow = True)\n", "\n", "h.fill(np.random.normal(scale = 2, size = 10000)) # Broader than the previous example\n", "\n", "h.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While underflow and overflow contents are only plotted for 1D histograms, they are tracked for any number of dimensions. The underflow and overflow bins \"surround\" the histogram's contents, adding two additional entries to _each_ dimension:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0. 0. 0. 0.]\n", " [0. 1. 1. 1. 1. 0.]\n", " [0. 1. 1. 1. 1. 0.]\n", " [0. 1. 1. 1. 1. 0.]\n", " [0. 0. 0. 0. 0. 0.]]\n" ] } ], "source": [ "h2D = Histogram([np.linspace(10,30,4), np.linspace(0,5,5)], \n", " track_overflow = True)\n", "\n", "h2D[:] = 1 # The indexing will be explained in the following section\n", "\n", "print(h2D.full_contents)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Indexing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the most part, the contents of a histogram can be accessed the same way as a numpy array" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(225.0)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Accessing the contents on a bin\n", "h[50]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([225., 203., 217., 188., 201., 208., 200., 159., 182., 161.])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# A range\n", "h[50:60]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 11., 225., 43.])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# A list of bins\n", "h[[0,50,80]]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([206., 209., 208., 225., 203., 217., 208.])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Boolean mask\n", "h[h > .9*np.max(h)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, the `-1` bin **DOES NOT** correspond to the last bin, but rather to the *underflow* bin. Similarly, the bin number equal to the total number of bins is the overflow bin. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(87.0)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Underflow\n", "h[-1]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(69.0)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Overflow\n", "h[h.nbins]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The special constant `end` can be used to access any bin relative to the last one, e.g.\n", "```python\n", "h[h.end-10] <-> h[h.nbins-10]\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is specially useful for multi-dimensional histograms, where the property `nbins` is not a number, but a sequence. Use `end` instead and it will be automatically replaced by the number of bins in that dimension" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of dimensions: 2\n", "Number of bins on each axis: [6 4]\n", "Last y-bin: [1. 1. 1. 1. 1. 1.]\n" ] } ], "source": [ "# Here we initialize a histogram with non-zero contents\n", "# All bin contents equal 1, except the under/overflow bins\n", "# You can initialize them as well, but in this case they are empty\n", "h = Histogram([np.linspace(0,6,7), np.linspace(0,4,5)], \n", " contents = np.ones((6,4)), \n", " labels = {'x', 'y'}, \n", " track_overflow = True)\n", "\n", "print(\"Number of dimensions: {}\".format(h.ndim))\n", "print(\"Number of bins on each axis: {}\".format(h.nbins))\n", "\n", "# DO NOT do this. \n", "# h[:, h.nbins-1] is equivalent to h[:, [5,3]] and will raise an out-of-bounds exception (in this case)\n", "# h[:, h.nbins-1] \n", "\n", "# DO this\n", "print(\"Last y-bin: {}\".format(h[:, h.end-1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The implicit index for unspecified dimensions is `:`, which doesn't include underflow/overflow:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 1., 1., 1.])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h[0] # = h[0,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you want to include these special bins for all the reminding axes use `...` (the Ellipsis object)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0., 1., 1., 1., 1., 0.])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h[0,...] # = h[0, -1:h.end+1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following aliases are provided just for convenience and readability\n", "```python\n", "h.uf = -1\n", "h.of = h.end\n", "h.all = slice(-1,h.end+1) # i.e. h[h.all] -> h[-1:h.end+1] \n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "NOTE: Negative indices DO NOT correpond to bins counting from the end. h[-1] corresponds to the underflow bin and other negative values will raise an IndexError. Use instead e.g. h[h.nbins-1] or h[h.end-3].\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Attempting to access an underflow/overflow bin when they are not tracked (see `track_overflow()`) will result in an `IndexError`. If the under/overflow is not tracked, then\n", "```python\n", "h.all = slice(0,h.end) # i.e. h[h.all] -> h[0:h.end] \n", "```" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## Weighted histograms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also fill the histograms using weighted data. If you care about statistical errors though you'll want to set `sumw2=True` while initializaing the histogram. The histogram will then save the sum of the weights squared for each bin ($\\sum w_i^2$). The bin errors will then be $\\sqrt{\\sum w_i^2}$ (assuming Gaussian statistics) as opposed to $\\sqrt{N}$. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "fill() discarded one or more values due to out-of-bounds coordinate in a dimension without under/overflow tracking\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = Histogram(np.linspace(-2,2, 100), sumw2 = True)\n", "\n", "nsamples = 10000\n", "x = np.random.uniform(low=-3, high=3, size=nsamples)\n", "\n", "# You can use warn_overflow = False to supress the warning below\n", "h.fill(x, weight = np.exp(-x*x)/nsamples)\n", "\n", "h.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The individual stored values can be accessed using `sumw2[]`" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bin 50: 6.79e-03 +/- 8.23e-04\n" ] } ], "source": [ "print(\"Bin {}: {:.2e} +/- {:.2e}\".format(50, h[50], np.sqrt(h.sumw2[50])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Slice and project" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You might have noticed that when you slice a histogram using `[]` the output is an array with the corresponding contents. By using `slice[]` you can instead obtain a `Histogram` object, which contains both contents and axes" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax,plot = h.plot(label = \"Full histogram\")\n", "\n", "h.slice[10:90].plot(ax, label = \"Slice\")\n", "\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also project a multi-dimensional histogram onto one or more axes, reducing the number of dimensions" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAG2CAYAAAC3VWZSAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAABFEElEQVR4nO3de3RV5Z3/8c9JyIUISQyEXCRcRS5yUVFiqFXUjAGtI5XFKNoCSnFwglMJtRqXNYBtY60VW0vRzrKhHctPpUvROhYKWOCnBIQgVShkDD8w3BIUmgQCuZ7n94fl1GfnzjlJztm8X2vttXz2fvazn51jDt88V48xxggAACBEhHV3BQAAADqC4AUAAIQUghcAABBSCF4AAEBIIXgBAAAhheAFAACEFIIXAAAQUgheAABASCF4AQAAIYXgBQAAhJSQCl42b96s22+/XampqfJ4PFq9erV13RijJ598UikpKerZs6cyMzP16aeftlnusmXLNGjQIEVHRys9PV0ffvhhJ70BAADwV0gFL9XV1Ro3bpyWLVvW7PVnnnlGv/jFL/Tiiy9q27Ztuuiii5SVlaWampoWy3zttdeUk5OjvLw87dy5U+PGjVNWVpaOHz/eWa8BAAD84AnVjRk9Ho/efPNNTZ06VdKXrS6pqalauHChvve970mSKisrlZSUpBUrVujuu+9utpz09HRdc801+uUvfylJ8nq9SktL00MPPaTHHnusS94FAAC0X4/urkCgHDhwQGVlZcrMzPSdi4uLU3p6ugoLC5sNXurq6lRUVKTc3FzfubCwMGVmZqqwsLDFZ9XW1qq2ttaX9nq9OnnypPr06SOPxxOgNwIAuI0xRqdOnVJqaqrCwjqv86OmpkZ1dXUBKSsyMlLR0dEBKStQXBO8lJWVSZKSkpKs80lJSb5rTl988YUaGxubvWffvn0tPis/P1+LFy/2s8YAgAvVoUOH1L9//04pu6amRoMH9lLZ8caAlJecnKwDBw4EVQDjmuClK+Xm5ionJ8eXrqys1IABA3SdblUPRXRjzQAAwaxB9Xpf76p3796d9oy6ujqVHW/UZ0WDFNvbv9adqlNeDRx/UHV1dQQvnSE5OVmSVF5erpSUFN/58vJyXXHFFc3e07dvX4WHh6u8vNw6X15e7iuvOVFRUYqKimpyvoci1MND8AIAaME/Rpl2xRCDXr096tXbv+d4FZxDIUJqtlFrBg8erOTkZG3YsMF3rqqqStu2bVNGRkaz90RGRmr8+PHWPV6vVxs2bGjxHgAAQkGj8QbkCEYh1fJy+vRplZSU+NIHDhzQrl27lJCQoAEDBujhhx/WD3/4Qw0bNkyDBw/WD37wA6WmpvpmJEnSzTffrG9+85uaP3++JCknJ0ezZs3S1VdfrQkTJuj5559XdXW17rvvvq5+PQAAAsYrI6/8m1Ds7/2dJaSClx07dujGG2/0pc+NO5k1a5ZWrFih73//+6qurtYDDzygiooKXXfddVqzZo3VT7d//3598cUXvvRdd92lzz//XE8++aTKysp0xRVXaM2aNU0G8QIAgOAQsuu8BJOqqirFxcVpku5gzAsAoEUNpl4b9ZYqKysVGxvbKc8492/S0eL+ARmwmzr8cKfW93yEVMsLAABon0Zj1Ohn+4S/93cW1wzYBQAAFwZaXgAAcCE3D9il5QUAABfyyqjRz6Ojwcvy5cs1duxYxcbGKjY2VhkZGfrTn/7ku15TU6Ps7Gz16dNHvXr10rRp05qstdYeBC8AACAg+vfvr6efflpFRUXasWOHbrrpJt1xxx3as2ePJGnBggX64x//qFWrVmnTpk06evSo7rzzzg4/h24jAABcqDu6jW6//XYr/aMf/UjLly/X1q1b1b9/f7388stauXKlbrrpJklSQUGBRo4cqa1bt+raa69t93MIXgAAcKFAzjaqqqqyzre0TY51b2OjVq1aperqamVkZKioqEj19fXKzMz05RkxYoQGDBigwsLCDgUvdBsBAIBWpaWlKS4uznfk5+e3mPeTTz5Rr169FBUVpXnz5unNN9/UqFGjVFZWpsjISMXHx1v5k5KSVFZW1qH60PICAIALef9x+FuGJB06dMhapK61Vpfhw4dr165dqqys1B/+8AfNmjVLmzZt8rMmNoIXAABc6NyMIX/LkOSbPdQekZGRuvTSSyVJ48eP1/bt2/Xzn/9cd911l+rq6lRRUWG1vpSXlys5OblD9aLbCAAAF2o0gTn85fV6VVtbq/HjxysiIkIbNmzwXSsuLlZpaakyMjI6VCYtLwAAICByc3M1ZcoUDRgwQKdOndLKlSu1ceNGrV27VnFxcZozZ45ycnKUkJCg2NhYPfTQQ8rIyOjQYF2J4AUAAFcK5JiX9jp+/LhmzpypY8eOKS4uTmPHjtXatWv1L//yL5KkpUuXKiwsTNOmTVNtba2ysrL0q1/9qsP1YlfpAGBXaQBAe3TlrtI7/5akXn7uKn36lFdXjSoPul2lGfMCAABCCt1GAAC4kNd8efhbRjAieAEAwIUa5VGjPH6XEYzoNgIAACGFlhcAAFzIzS0vBC8AALiQ13jkNf4FH/7e31noNgIAACGFlhcAAFyIbiMAABBSGhWmRj87WBoDVJdAI3gBAMCFTADGvBjGvAAAAPiPlhcAAFyIMS8AACCkNJowNRo/x7wE6fYAdBsBAICQQssLAAAu5JVHXj/bKLwKzqYXghcAAFzIzWNe6DYCAAAhhZYXAABcKDADduk2AgAAXeTLMS9+bsxItxEAAID/aHkBAMCFvAHY2yhYZxu5quVl0KBB8ng8TY7s7Oxm869YsaJJ3ujo6C6uNQAAgXduzIu/RzByVcvL9u3b1dj4zz0wd+/erX/5l3/R9OnTW7wnNjZWxcXFvrTHE5z9ewAAdIRXYazzEgoSExOt9NNPP62hQ4fqhhtuaPEej8ej5OTkzq4aAAAIkOBsDwqAuro6vfLKK7r//vtbbU05ffq0Bg4cqLS0NN1xxx3as2dPm2XX1taqqqrKOgAACCaNxhOQIxi5NnhZvXq1KioqNHv27BbzDB8+XL/5zW/01ltv6ZVXXpHX69XEiRN1+PDhVsvOz89XXFyc70hLSwtw7QEA8E/jPwbs+nsEI48xQboCjZ+ysrIUGRmpP/7xj+2+p76+XiNHjtSMGTP01FNPtZivtrZWtbW1vnRVVZXS0tI0SXeohyfCr3oDANyrwdRro95SZWWlYmNjO+UZVVVViouL04qPximmd7hfZZ051ajZV/61U+t7Plw15uWczz77TOvXr9cbb7zRofsiIiJ05ZVXqqSkpNV8UVFRioqK8qeKAAB0Kq8Jk9fP2ULeIG3fCM72ID8VFBSoX79+uu222zp0X2Njoz755BOlpKR0Us0AAOgabu42Cs5a+cHr9aqgoECzZs1Sjx52w9LMmTOVm5vrSy9ZskR//vOf9f/+3//Tzp079a1vfUufffaZvvOd73R1tQEAQDu5rtto/fr1Ki0t1f3339/kWmlpqcLC/hmv/f3vf9fcuXNVVlamiy++WOPHj9eWLVs0atSorqwyAAAB55X8ni3kDUxVAs51wcstt9yilsYgb9y40UovXbpUS5cu7YJaARcITxuNuSZYvwoB9wnMInXB2UETnLUCAABogetaXgAAgAKyNxF7GwEAgC7jlUde+TvmJThX2CV4AQDAhdzc8hKctQIAAGgBLS8AALhQIBaZC9ZF6gheAPxTB6c6e8LDHZfbWEq8rfLbeB6A9vMaj7z+rvPCrtIAAAD+o+UFAAAX8gag2yhYF6kjeAEAwIUCs6t0cAYvwVkrAACAFtDyAgCACzXKo0Y/F5nz9/7OQvACAIAL0W0EAAAQJGh5AdAiT5izyTi82Xwt5neu6+Jct8Vx3TQ2tn6/E+vAAC1qlP/dPo1tZ+kWBC8AALgQ3UYAACCknNuY0d+jvfLz83XNNdeod+/e6tevn6ZOnari4mIrz6RJk+TxeKxj3rx5HX43ghcAAOC3TZs2KTs7W1u3btW6detUX1+vW265RdXV1Va+uXPn6tixY77jmWee6fCz6DYCAMCFjDzy+jnmxXTg/jVr1ljpFStWqF+/fioqKtL111/vOx8TE6Pk5GS/6kXLCwAALhTIbqOqqirrqK2tbfP5lZWVkqSEhATr/O9//3v17dtXo0ePVm5urs6cOdPhd6PlBQAAtCotLc1K5+XladGiRS3m93q9evjhh/W1r31No0eP9p2/5557NHDgQKWmpurjjz/Wo48+quLiYr3xxhsdqg/BC3AhcUw9bmtqs/O68Ro5Ttj5IyPt6478po15l2ER9leSc+p0k+e3NRUbuIB5jUde41+30bn7Dx06pNjYWN/5qKioVu/Lzs7W7t279f7771vnH3jgAd9/jxkzRikpKbr55pu1f/9+DR06tN31IngBAMCFGgOwq/S5+2NjY63gpTXz58/XO++8o82bN6t///6t5k1PT5cklZSUELwAAICuZYzRQw89pDfffFMbN27U4MGD27xn165dkqSUlJQOPYvgBQAAFwpkt1F7ZGdna+XKlXrrrbfUu3dvlZWVSZLi4uLUs2dP7d+/XytXrtStt96qPn366OOPP9aCBQt0/fXXa+zYsR2qF8ELAAAu5FWYvH52G3Xk/uXLl0v6ciG6ryooKNDs2bMVGRmp9evX6/nnn1d1dbXS0tI0bdo0PfHEEx2uF8ELAADwmzGm1etpaWnatGlTQJ5F8AIAgAs1Go8a/ew28vf+zkLwAlxAmu4S3cZ159TpSEc63N5l2jQ02Pc7pi6HXRRjX66vt9N1dtpZvnOPW6ZOAy3r6jEvXYngBQAAFzIB2FXasKs0AACA/2h5AQDAhRrlUaOfGzP6e39nIXgBAMCFvMb/MSvOYWXBgm4jAAAQUmh5AQDAhbwBGLDr7/2dJThrdZ4WLVokj8djHSNGjGj1nlWrVmnEiBGKjo7WmDFj9O6773ZRbQEA6DxeeQJyBCPXtbxcfvnlWr9+vS/do0fLr7hlyxbNmDFD+fn5+sY3vqGVK1dq6tSp2rlzp0aPHt0V1QU6l3PdE2e6jfyeyAj7epizPPuLLaxntJU2Z87a+cMd5Xsd67hEOurT6FinxWN3wHvC7OtN1n0B4EquC1569Oih5OTkduX9+c9/rsmTJ+uRRx6RJD311FNat26dfvnLX+rFF1/szGoCANCp3LzCrqu6jSTp008/VWpqqoYMGaJ7771XpaWlLeYtLCxUZmamdS4rK0uFhYWdXU0AADrVuTEv/h7ByFUtL+np6VqxYoWGDx+uY8eOafHixfr617+u3bt3q3fv3k3yl5WVKSkpyTqXlJTk28a7JbW1taqtrfWlq6qqAvMCAACgTa4KXqZMmeL777Fjxyo9PV0DBw7U66+/rjlz5gTsOfn5+Vq8eHHAygMAINC8CsDeRkE6YDc424MCJD4+XpdddplKSkqavZ6cnKzy8nLrXHl5eZtjZnJzc1VZWek7Dh06FLA6AwAQCCYAM40MwUvXO336tPbv36+UlJRmr2dkZGjDhg3WuXXr1ikjI6PVcqOiohQbG2sdAAAEk3O7Svt7BCNXdRt973vf0+23366BAwfq6NGjysvLU3h4uGbMmCFJmjlzpi655BLl5+dLkr773e/qhhtu0M9+9jPddtttevXVV7Vjxw79+te/7s7XAM6fc6pzmKfVdJOp086pzDE9W3+e1zGVuXcv+37nUgXO8s7W2OnqM3a6ocFOO+pv6upar5/z/Yy3+XwAQoqrgpfDhw9rxowZOnHihBITE3Xddddp69atSkxMlCSVlpYq7CvrVEycOFErV67UE088occff1zDhg3T6tWrWeMFABDy3LzCrquCl1dffbXV6xs3bmxybvr06Zo+fXon1QgAgO4RiG6fYO02Cs6QCgAAoAWuankBAABfCsTeRME6VZrgBQAAF6LbCAAAIEjQ8gIAgAu5ueWF4AVwEec6LsZr7Ovhjhuc67pER9nXneu01Nfb6TD7ftMz0lEfR+Ouc12WKEd+j6P+p6vt63KItO9Xvb0ujGlsdN4BXDDcHLzQbQQAAEIKLS8AALiQm1teCF4AAHAhI/+nOpu2s3QLghcAAFzIzS0vjHkBAAAhhZYXAABcyM0tLwQvQCjztN54GhZh/4p7HFOLPRfFOG5wlOeYuqyL4+x0gz0VuS6pl5X29rDLizxRY6XDv6iyy6utddQ3wr7ueB+dtcszjqnSwIXMzcEL3UYAACCk0PICAIALubnlheAFAAAXMsYj42fw4e/9nYVuIwAAEFJoeQEAwIW88vi9SJ2/93cWghcAAFyIMS8AQoIn3LFttGNXaOP12vmdu0g7pl6b3j2tdEO8nW6Mtp/X0NMxNbrKnrrscTzfe/FF9vMd6bDKM/b1akfa8b7OXbVlnLtsO3rKjV0fAKGB4AUAABdy84BdghcAAFyIbiMAABBS3NzywlRpAAAQUmh5AQDAhUwAuo2CteWF4AUAABcykozxv4xgRLcRAAAIKbS8ACGsybomjnVanOu+eCIj7fyn7XVTvP2T7HRMhJWuj7XTngb777KI6kYr/fm4aCt9UZn9/MgqO3/UiRq7fs51XRzr1nh62PebJu8vB0d+1n2Bi3nlkYcVdgEAQKhgthEAAEAr8vPzdc0116h3797q16+fpk6dquLiYitPTU2NsrOz1adPH/Xq1UvTpk1TeXl5h59F8AIAgAudW6TO36O9Nm3apOzsbG3dulXr1q1TfX29brnlFlVXV/vyLFiwQH/84x+1atUqbdq0SUePHtWdd97Z4Xej2wgAABcyJgCzjTpw/5o1a6z0ihUr1K9fPxUVFen6669XZWWlXn75Za1cuVI33XSTJKmgoEAjR47U1q1bde2117b7WbS8AACAgKusrJQkJSQkSJKKiopUX1+vzMxMX54RI0ZowIABKiws7FDZtLwAAOBCgRywW1VVZZ2PiopSVFRUc7dIkrxerx5++GF97Wtf0+jRoyVJZWVlioyMVHx8vJU3KSlJZWVlHaoXwQsQwozXbtNt82uqh2PucJjd+BpWccpKe2MSrHR0mT11+fOrYq10xFm7Pn0/rrXSFcPsL7vwWjt/Tb+e9vNkT90Orzxrpc1ZOy3n1HF7ZnSTnxfgZoEMXtLS0qzzeXl5WrRoUYv3ZWdna/fu3Xr//ff9en5LCF4AAHAhr/HIE6BdpQ8dOqTY2H/+sdJaq8v8+fP1zjvvaPPmzerfv7/vfHJysurq6lRRUWG1vpSXlys5OblD9XLVmJf2TNNyWrFihTwej3VER0e3eg8AABeS2NhY62gueDHGaP78+XrzzTf13nvvafDgwdb18ePHKyIiQhs2bPCdKy4uVmlpqTIyMjpUH1e1vJybpnXNNdeooaFBjz/+uG655Rb97W9/00UXXdTifbGxsVaQ4/EE56I8AAC0V1fPNsrOztbKlSv11ltvqXfv3r5xLHFxcerZs6fi4uI0Z84c5eTkKCEhQbGxsXrooYeUkZHRoZlGksuCl7amabXE4/F0uMkKAIBg9mXw4u+Yl/bnXb58uSRp0qRJ1vmCggLNnj1bkrR06VKFhYVp2rRpqq2tVVZWln71q191uF6uCl6cnNO0WnL69GkNHDhQXq9XV111lX784x/r8ssvbzF/bW2tamv/ORDROQobAIALjWlHpBMdHa1ly5Zp2bJlfj3LVWNevqq5aVrNGT58uH7zm9/orbfe0iuvvCKv16uJEyfq8OHDLd6Tn5+vuLg43+EchQ0AQHc7N9vI3yMYuTZ4OTdN69VXX201X0ZGhmbOnKkrrrhCN9xwg9544w0lJibqpZdeavGe3NxcVVZW+o5Dhw4FuvoAAPjFBOgIRq7sNmppmlZ7RERE6Morr1RJSUmLedpanAfoKp5wx7otxmunHeu4NOnAdvx/7I2zB7afSbFn3plw+6+wHo51Wv5+R7WVrt3Yy87vWAemrYVpGqPtr6jGGHtdmcgaex0ZNdrvbxzXnT8v0+hYCAZASHBVy0tb07Tao7GxUZ988olSUlI6oYYAAHQNN3cbuarlpa1pWpI0c+ZMXXLJJcrPz5ckLVmyRNdee60uvfRSVVRU6Kc//ak+++wzfec73+m29wAAwG+B6PcJ0n4jVwUv7ZmmVVpaqrCvNKX//e9/19y5c1VWVqaLL75Y48eP15YtWzRq1KiuqjYAAIEXiJYTWl46X3umaW3cuNFKL126VEuXLu2kGgEAgEBzVfACAAC+1NUr7HYlghcAAFwokLtKBxuCFyCUeMIcSfuLxRMZaad7OH7Fe9lTob3xdvr0IHtqc+QpeypxTR+7vOPX2lOTL+ph5/c6Hh9eZ6cbo+z6n061pzL3237Wvv/EabuAM/Z1T5T9/uasfb3JVHIAIYngBQAANzIe/wfc0vICAAC6ipvHvLhqkToAAOB+tLwAAOBGLFIHAABCiZtnG9FtBAAAQgotL0AIM15Hm259g5X0JMTb1x35TQ/77xfnrtEnR9pTj+t628XFHLbTEWmOXZozT1rJhtUJdv0i7Ozhzk2iYxwZPHYFwns4dtU+WWGnnVPFHe/vCXPsQs0m03CbIO328RfBCwAALuTmbiOCFwAA3MjFA3YZ8wIAAEIKLS8AALiS5x+Hv2UEH4IXAADciG4jAACA4EDLCwAAbuTilheCFyCEecIc/dHhjsZU57oucT2tdFi1vbBKxOloK10Xa5cX/YVd/IiZe630X8tSrfS/XfqRlX7v7susdFmhnT/ilF1+5ZAoK93noxorbcLs+nki7XVpdLparWmyTg7gJi7eVZpuIwAAEFJoeQEAwIWM+fLwt4xgRPACAIAbuXjMC91GAAAgpNDyAgCAG7l4wC7BCwAALuQxXx7+lhGMCF6AYOZpvWfXOdW3yd9IjqnUnpp6K10z6GIrXTkkwkr3K7Lzl0+wrxf+71Ar3Tv+jJX+4IshVrqsItZKR1XY1fV47XRdb7v+3mj7+T1OVNk3OEYXeqLsqdamrk6tcv68jbf5fEAoYMwLAABAcKDlBQAAN2LMCwAACCl0GwEAAAQHWl4AAHAjF7e8ELwAAOBGLg5e6DYCAAAhhZYXIJg51xlxrEPiibB/hT3R9romqrXXNfH2sddZ6XHaXscl7qBdftUge12VMDu7Yi+utvP//SIr3bfXafv+T3rZ1bOXmZHX8Y0UU26na/pFW+mLKmLsDOWf2+nGRivp6RHR6nXT4HhBIJQx2wgAAIQSN6+wS7cRAAAIKa4MXpYtW6ZBgwYpOjpa6enp+vDDD1vNv2rVKo0YMULR0dEaM2aM3n333S6qKQAAncQE6AhCHQ5eZs2apc2bN3dGXQLitddeU05OjvLy8rRz506NGzdOWVlZOn78eLP5t2zZohkzZmjOnDn66KOPNHXqVE2dOlW7d+/u4poDAID26HDwUllZqczMTA0bNkw//vGPdeTIkc6o13l77rnnNHfuXN13330aNWqUXnzxRcXExOg3v/lNs/l//vOfa/LkyXrkkUc0cuRIPfXUU7rqqqv0y1/+sotrDgBA4Hj0z3Ev531090u0oMPBy+rVq3XkyBE9+OCDeu211zRo0CBNmTJFf/jDH1Rf370j9evq6lRUVKTMzEzfubCwMGVmZqqwsLDZewoLC638kpSVldVifkmqra1VVVWVdQAAgK5xXrONEhMTlZOTo5ycHO3cuVMFBQX69re/rV69eulb3/qW/uM//kPDhg0LdF3b9MUXX6ixsVFJSUnW+aSkJO3bt6/Ze8rKyprNX1ZW1uJz8vPztXjxYv8rDHSQJ8zxd5Bjqq/qHH9AxNhTicNO11rps/0dU5djw+3i7Ms6c5l9v6eyp/244kgr/VlFqpUumbfcSg9+Z66VTiy0n++c6RBR1aDWeHrbFTYn/t5q/ramoje5DoQSF0+V9mvA7rFjx7Ru3TqtW7dO4eHhuvXWW/XJJ59o1KhRWrp0aaDqGHRyc3NVWVnpOw4dOtTdVQIAwObiAbsdbnmpr6/X22+/rYKCAv35z3/W2LFj9fDDD+uee+5RbOyXC2C9+eabuv/++7VgwYKAV7g1ffv2VXh4uMrL7ZWtysvLlZyc3Ow9ycnJHcovSVFRUYqKimrxOgAA6DwdbnlJSUnR3LlzNXDgQH344YfasWOH5s2b5wtcJOnGG29UfHx8IOvZLpGRkRo/frw2bNjgO+f1erVhwwZlZGQ0e09GRoaVX5LWrVvXYn4AAEJCN7S8bN68WbfffrtSU1Pl8Xi0evVq6/rs2bPl8XisY/LkyR1+tQ63vCxdulTTp09XdHR0i3ni4+N14MCBDlcmEHJycjRr1ixdffXVmjBhgp5//nlVV1frvvvukyTNnDlTl1xyifLz8yVJ3/3ud3XDDTfoZz/7mW677Ta9+uqr2rFjh3796193S/0BAAiE7lhht7q6WuPGjdP999+vO++8s9k8kydPVkFBgS99Pj0ZHQ5evv3tb3f4IV3prrvu0ueff64nn3xSZWVluuKKK7RmzRrfoNzS0lKFhf2zwWnixIlauXKlnnjiCT3++OMaNmyYVq9erdGjR3fXKwAAEJKmTJmiKVOmtJonKiqq1aEZ7eHKvY3mz5+v+fPnN3tt48aNTc5Nnz5d06dP7+RaAQDQhQIx4PYf9zuXBPFn7OfGjRvVr18/XXzxxbrpppv0wx/+UH369OlQGa4MXgC3Ml77m8gT7sgQ7jhh7Pymh309pqTCSjdcnmAXd519PeFdexvomGnHrPShmkQrHVZjD6sb8uc59v19zljp2jh71+tex+ypyibcnrbpqbC/UE2tPZVbHju/cU4td2JqNNwkgMFLWlqadTovL0+LFi3qcHGTJ0/WnXfeqcGDB2v//v16/PHHNWXKFBUWFirc+f3VCoIXAADQqkOHDlkTc8631eXuu+/2/feYMWM0duxYDR06VBs3btTNN9/c7nJcuTEjAAAXOr+3BvjKgN/Y2FjrCNRyIUOGDFHfvn1VUlLSoftoeQEAwI1CYIXdw4cP68SJE0pJSenQfQQvAAC4UQDHvLTX6dOnrVaUAwcOaNeuXUpISFBCQoIWL16sadOmKTk5Wfv379f3v/99XXrppcrKyurQcwheAABAQOzYsUM33nijL52TkyNJmjVrlpYvX66PP/5Yv/3tb1VRUaHU1FTdcssteuqppzrcDUXwAgCAC3XHInWTJk2SMS3ftHbtWv8q9A8ELwAAuFE3dBt1FYIX4ALiabDXOake7lgYyjE2L2HZRVb6wPR6K12xx14lc/Doo1b60Bf2ujCmrKeVPuv4sy7eLl7htfb1qPLTdnl94qy05/O/W2nv2Rq7QMc6Ls51cwCEBoIXAADcKADdRrS8AACAruPibiMWqQMAACGFlhcAANzIxS0vBC8AALhQd0yV7ip0GwEAgJBCywsQwkyjPfXZ43VMBa4+Y1+PirTS0Z/bU4lPDY6x0pGVdVa616e9rHT1IPv5pZ+kWumBY49Y6aMR9tTmiK29rXTPE3b9vRH23O36BEf9Dp200qbeMdfa45j77XH+vdYoAKGH4AUAADdizAsAAAgljHkBAAAIErS8AADgVkHacuIvghcAANzIxWNe6DYCAAAhhZYXIJQ5pv46p06HRdpTo9XGLspxeyqs9OfpCVY6yt60WbGl9lTkU/3t9Gdh9tTpmMN2fSMr7fIaouz7o/9uv09jlOPvLcf7Nnm/hga1yrHLNOAmbh6wS/ACAIAb0W0EAAAQHGh5AQDAheg2AgAAoYVuIwAAgOBAywsAAG7k4pYXghcAAFyIMS8AgpNznRJjf9M4133xVFdb6fAT4Vb6zKV9rPRFZfY6Kd4e9josYQ32804PttP9tto902GN9vWTI+zy0t6rtdKRx6qstE6fsdNRjnVsnOu+ONbBkalv4zrrvsBFXNzywpgXAAAQUmh5AQDAjVzc8kLwAgCAC7l5zAvdRgAAIKS4Jng5ePCg5syZo8GDB6tnz54aOnSo8vLyVFdX1+p9kyZNksfjsY558+Z1Ua0BAOgkJkBHEHJNt9G+ffvk9Xr10ksv6dJLL9Xu3bs1d+5cVVdX69lnn2313rlz52rJkiW+dExMTGdXFwCATuXmbiPXBC+TJ0/W5MmTfekhQ4aouLhYy5cvbzN4iYmJUXJycmdXEQg447W/WTzeNr5pHNe9vaOttHPqc+Rxe2pyXZ+eVvrEKHuqcsLH9uPO9LPTDb3sdL+P7KnN3gi7MdgbbZcf5ny/Wntqtamzp0I7p4oDcAfXdBs1p7KyUgkJCW3m+/3vf6++fftq9OjRys3N1ZkzZ1rNX1tbq6qqKusAACCo0G0UekpKSvTCCy+02epyzz33aODAgUpNTdXHH3+sRx99VMXFxXrjjTdavCc/P1+LFy8OdJUBAAgcF0+VDvqWl8cee6zJgFrnsW/fPuueI0eOaPLkyZo+fbrmzp3bavkPPPCAsrKyNGbMGN1777363e9+pzfffFP79+9v8Z7c3FxVVlb6jkOHDgXkXQEAQNuCvuVl4cKFmj17dqt5hgwZ4vvvo0eP6sYbb9TEiRP161//usPPS09Pl/Rly83QoUObzRMVFaWoqKgOlw0AQFfx/OPwt4xgFPTBS2JiohITE9uV98iRI7rxxhs1fvx4FRQUKCys4w1Lu3btkiSlpKR0+F4AAIIG3UbB78iRI5o0aZIGDBigZ599Vp9//rnKyspUVlZm5RkxYoQ+/PBDSdL+/fv11FNPqaioSAcPHtTbb7+tmTNn6vrrr9fYsWO761UAAPDbuanS/h7BKOhbXtpr3bp1KikpUUlJifr3729dM//Yabe+vl7FxcW+2USRkZFav369nn/+eVVXVystLU3Tpk3TE0880eX1BwAA7eOa4GX27Nltjo0ZNGiQL5CRpLS0NG3atKmTawYEkPFaSU94eKvXjXOF6UjHuinHK6x0VL29LsrZ/rH29b/b66ok/tV+3tlEu/zok/bje5fYywp4oyKsdPgZu76eilN2AfUNVtKcOm3nj7C/0pzrvDjXxXH+vABXcXG3kWuCFwAA4BCkwYe/XDPmBQAAXBhoeQEAwIXY2wgAAIQWF495odsIAACEFFpeAABwIbqNAAQl51RgJ+dUanO2xr4e09NOn6i00j0b7W+uxng7f30v+yukx1nHVG7HF5+nxp7q7Imw6+c565jaHWFPpVatfd14HVOdGx1ppkLjQka3EQAAQHCg5QUAABdyc7cRLS8AALiRCdDRAZs3b9btt9+u1NRUeTwerV692q6SMXryySeVkpKinj17KjMzU59++mmHX43gBQAAN+qG4KW6ulrjxo3TsmXLmr3+zDPP6Be/+IVefPFFbdu2TRdddJGysrJUU1PTbP6W0G0EAAACYsqUKZoyZUqz14wxev755/XEE0/ojjvukCT97ne/U1JSklavXq2777673c+h5QUAABc6N+bF30OSqqqqrKO2trb1hzfjwIEDKisrU2Zmpu9cXFyc0tPTVVhY2KGyaHkBQpnH/vujya7Jjl2Yw6Kj7PyOplrn1GrPyQorHe74c+ei4/Yu0XX9L7afV+vY1bmnYxfpLxy7RjfY9VWN/QVpHFOlmRoNtCKAU6XT0tKs03l5eVq0aFGHiiorK5MkJSUlWeeTkpJ819qL4AUAALTq0KFDio2N9aWjoqJayd35CF4AAHAhjzHyGP+aXs7dHxsbawUv5yM5OVmSVF5erpSUFN/58vJyXXHFFR0qizEvAAC4UTfMNmrN4MGDlZycrA0bNvjOVVVVadu2bcrIyOhQWbS8AACAgDh9+rRKSkp86QMHDmjXrl1KSEjQgAED9PDDD+uHP/yhhg0bpsGDB+sHP/iBUlNTNXXq1A49h+AFAAAX6o4Vdnfs2KEbb7zRl87JyZEkzZo1SytWrND3v/99VVdX64EHHlBFRYWuu+46rVmzRtHR0R16DsELAABu1A0bM06aNEmmlXE2Ho9HS5Ys0ZIlS/yqFmNeAABASKHlBXAzx7onptFed8VT77Hz93B8JUTY67J4yk7Y1y+Os5JhdXb54dWOhaw8juc56qMGR9q5jou39fdp632BC4mbN2YkeAEAwI26oduoqxC8AADgQm5ueWHMCwAACCm0vAAA4EZ0GwEAgFATrN0+/qLbCAAAhBRaXoBQ5pga3FS4nb2uzr7snLpcV2+na+38nkh76rSqz1jJHmfOtl4dx9RlU28/z+Ox/57ynrHLb4vxuvTPTOB8GPPl4W8ZQYjgBQAAF2K2EQAAQJCg5QUAADdithEAAAglHu+Xh79lBCO6jQAAQEih5QUAADdycbeRq1peBg0aJI/HYx1PP/10q/fU1NQoOztbffr0Ua9evTRt2jSVl5d3UY0BAOgc52Yb+XsEI9e1vCxZskRz5871pXv37t1q/gULFuh//ud/tGrVKsXFxWn+/Pm688479cEHH3R2VYFO51z3xBPuXPfFsa5Lo93B7YmOsvPXN9j5a2rttKN8hTnWkXFyPN/rLN/Jua5Nm+vcABcw1nkJHb1791ZycnK78lZWVurll1/WypUrddNNN0mSCgoKNHLkSG3dulXXXnttZ1YVAACcB1d1G0nS008/rT59+ujKK6/UT3/6UzU0tPyXXFFRkerr65WZmek7N2LECA0YMECFhYUt3ldbW6uqqirrAAAgmNBtFCL+8z//U1dddZUSEhK0ZcsW5ebm6tixY3ruueeazV9WVqbIyEjFx8db55OSklRWVtbic/Lz87V48eJAVh0AgMBiwG73eeyxx5oMwnUe+/btkyTl5ORo0qRJGjt2rObNm6ef/exneuGFF1RbW9vGUzomNzdXlZWVvuPQoUMBLR8AALQs6FteFi5cqNmzZ7eaZ8iQIc2eT09PV0NDgw4ePKjhw4c3uZ6cnKy6ujpVVFRYrS/l5eWtjpuJiopSVFRUi9cBAOhubt7bKOiDl8TERCUmJp7Xvbt27VJYWJj69evX7PXx48crIiJCGzZs0LRp0yRJxcXFKi0tVUZGxnnXGQCAbsdso+BXWFiobdu26cYbb1Tv3r1VWFioBQsW6Fvf+pYuvvhiSdKRI0d0880363e/+50mTJiguLg4zZkzRzk5OUpISFBsbKweeughZWRkMNMIrmQaG610k6nTjuuqq2u9QOdU7AjHF53HnirtLN85VdsTGdHqdaZGA5BcFLxERUXp1Vdf1aJFi1RbW6vBgwdrwYIFysnJ8eWpr69XcXGxzpw54zu3dOlShYWFadq0aaqtrVVWVpZ+9atfdccrAAAQMHQbhYCrrrpKW7dubTXPoEGDZBxNYNHR0Vq2bJmWLVvWmdUDAKBrMdsIAAAgOLim5QUAAPwT3UYAACC0eE2TQfXnVUYQIngBAMCNXDzmheAFcDPn1GJPWKvXnbtQOzmnVjd5nGNX6CZTrx3P8/Twb2p0k/IBXBAIXgAAcCGPAjDmJSA1CTyCFwAA3MjFK+wyVRoAAIQUWl4AAHAhpkoDAIDQ4uLZRnQbAQCAkELLCwAALuQxRh4/B9z6e39nIXgBLiTOdV2cy6Q41oFpax0VT5g9kbKj68SYBntdl7buB9AB3n8c/pYRhOg2AgAAIYWWFwAAXIhuIwAAEFpcPNuI4AUAADdihV0AAIDgQMsLAAAuxAq7AC4MjqnUbU2dbjLVuq3yHFOlO1wfAO1HtxEAAEBwoOUFAAAX8ni/PPwtIxjR8gIAgBud6zby9+iARYsWyePxWMeIESMC/mq0vAAAgIC5/PLLtX79el+6R4/AhxoELwAAuFE3LVLXo0cPJScn+/ng1tFtBACAC53bHsDfQ5Kqqqqso7a2tsXnfvrpp0pNTdWQIUN07733qrS0NODvRvACAABalZaWpri4ON+Rn5/fbL709HStWLFCa9as0fLly3XgwAF9/etf16lTpwJaH7qNALSsjXVfOprfuU4MgE4UwHVeDh06pNjYWN/pqKioZrNPmTLF999jx45Venq6Bg4cqNdff11z5szxry5fQfACAIAbGUn+TnX+R+wTGxtrBS/tFR8fr8suu0wlJSV+VsRGtxEAAC4UyDEv5+v06dPav3+/UlJSAvRWXyJ4AQAAAfG9731PmzZt0sGDB7VlyxZ985vfVHh4uGbMmBHQ59BtBACAGxkFYMxLx7IfPnxYM2bM0IkTJ5SYmKjrrrtOW7duVWJion/1cCB4AQDAjbphY8ZXX33Vv+e1E91GAAAgpNDyAqD9nFOhA50fQOB4JXkCUEYQck3Ly8aNG5tsBnXu2L59e4v3TZo0qUn+efPmdWHNAQAIvGCYbdRZXNPyMnHiRB07dsw694Mf/EAbNmzQ1Vdf3eq9c+fO1ZIlS3zpmJiYTqkjAADwn2uCl8jISGsjqPr6er311lt66KGH5PG03m4WExPT6ZtIAQDQpbphwG5XcU23kdPbb7+tEydO6L777msz7+9//3v17dtXo0ePVm5urs6cOdMFNQQAoBOdC178PYKQa1penF5++WVlZWWpf//+rea75557NHDgQKWmpurjjz/Wo48+quLiYr3xxhst3lNbW2vtqFlVVRWwegMAgNYFffDy2GOP6Sc/+Umrefbu3asRI0b40ocPH9batWv1+uuvt1n+Aw884PvvMWPGKCUlRTfffLP279+voUOHNntPfn6+Fi9e3M43AACgG7i42yjog5eFCxdq9uzZreYZMmSIlS4oKFCfPn30r//6rx1+Xnp6uiSppKSkxeAlNzdXOTk5vnRVVZXS0tI6/CwAADqNi6dKB33wkpiY2KFlhY0xKigo0MyZMxUREdHh5+3atUuSWt1EKioqqsXtwAEACAaBmOocrFOlXTdg97333tOBAwf0ne98p8m1I0eOaMSIEfrwww8lSfv379dTTz2loqIiHTx4UG+//bZmzpyp66+/XmPHju3qqgMAgHYI+paXjnr55Zc1ceJEawzMOfX19SouLvbNJoqMjNT69ev1/PPPq7q6WmlpaZo2bZqeeOKJrq42AACBxZiX0LFy5coWrw0aNEjmKx9EWlqaNm3a1BXVAgCga3mN5PEz+PAGZ/Dium4jAADgbq5reQEAAKLbCAAAhJpArJAbnMEL3UYAACCk0PICAIAb0W0EAABCitfI724fZhsBAAD4j5YXAADcyHi/PPwtIwgRvAAA4EaMeQEAACGFMS8AAADBgZYXAADciG4jAAAQUowCELwEpCYBR7cRAAAIKbS8AADgRnQbAQCAkOL1SvJznRZvcK7zQrcRAAAIKbS8AADgRnQbAQCAkOLi4IVuIwAAEFJoeQEAwI1cvD0AwQsAAC5kjFfGz12h/b2/sxC8AADgRsb433LCmBcAAAD/0fICAIAbmQCMeQnSlheCFwAA3MjrlTx+jlkJ0jEvdBsBAICQQssLAABuRLcRAAAIJcbrlfGz2yhYp0rTbQQAAEIKLS8AALgR3UYAACCkeI3kcWfwQrcRAAAIKbS8AADgRsZI8nedl+BseSF4AQDAhYzXyPjZbWQIXgAAQJcxXvnf8sJUab/86Ec/0sSJExUTE6P4+Phm85SWluq2225TTEyM+vXrp0ceeUQNDQ2tlnvy5Ende++9io2NVXx8vObMmaPTp093whsAAOB+y5Yt06BBgxQdHa309HR9+OGHAX9GyAQvdXV1mj59uh588MFmrzc2Nuq2225TXV2dtmzZot/+9rdasWKFnnzyyVbLvffee7Vnzx6tW7dO77zzjjZv3qwHHnigM14BAIAuY7wmIEdHvPbaa8rJyVFeXp527typcePGKSsrS8ePHw/ou3lMsHZotWDFihV6+OGHVVFRYZ3/05/+pG984xs6evSokpKSJEkvvviiHn30UX3++eeKjIxsUtbevXs1atQobd++XVdffbUkac2aNbr11lt1+PBhpaamtqtOVVVViouL0yTdoR6eCP9eEADgWg2mXhv1liorKxUbG9spzwjkv0kdrW96erquueYa/fKXv5Qkeb1epaWl6aGHHtJjjz3mV12+yjVjXgoLCzVmzBhf4CJJWVlZevDBB7Vnzx5deeWVzd4THx/vC1wkKTMzU2FhYdq2bZu++c1vNvus2tpa1dbW+tKVlZWSpAbV+70eEADAvRpUL6lrBsIG4t+kc/WtqqqyzkdFRSkqKso6V1dXp6KiIuXm5vrOhYWFKTMzU4WFhf5VxME1wUtZWZkVuEjypcvKylq8p1+/fta5Hj16KCEhocV7JCk/P1+LFy9ucv59vdvRagMALkAnTpxQXFxcp5QdGRmp5ORkvV8WmH+TevXqpbS0NOtcXl6eFi1aZJ374osv1NjY2Oy/xfv27QtIXc7p1uDlscce009+8pNW8+zdu1cjRozoohq1T25urnJycnzpiooKDRw4UKWlpZ32P2Nnq6qqUlpamg4dOtRpTZldwQ3v4YZ3kHiPYOKGd5Dc8R6VlZUaMGCAEhISOu0Z0dHROnDggOrq6gJSnjFGHo/HOudsdelq3Rq8LFy4ULNnz241z5AhQ9pVVnJycpMRzeXl5b5rLd3jHETU0NCgkydPtniP1HxzmSTFxcWF7C/UObGxsSH/DpI73sMN7yDxHsHEDe8gueM9wsI6d75MdHS0oqOjO/UZTn379lV4eLjv395zysvLW/039Xx0a/CSmJioxMTEgJSVkZGhH/3oRzp+/LivK2jdunWKjY3VqFGjWrynoqJCRUVFGj9+vCTpvffek9frVXp6ekDqBQDAhSAyMlLjx4/Xhg0bNHXqVElfDtjdsGGD5s+fH9BnhcxU6dLSUu3atUulpaVqbGzUrl27tGvXLt+aLLfccotGjRqlb3/72/rrX/+qtWvX6oknnlB2dravleTDDz/UiBEjdOTIEUnSyJEjNXnyZM2dO1cffvihPvjgA82fP1933313u2caAQCAL+Xk5Oi//uu/9Nvf/lZ79+7Vgw8+qOrqat13332BfZAJEbNmzTq3t7d1/OUvf/HlOXjwoJkyZYrp2bOn6du3r1m4cKGpr6/3Xf/LX/5iJJkDBw74zp04ccLMmDHD9OrVy8TGxpr77rvPnDp1qkN1q6mpMXl5eaampsbf1+w2bngHY9zxHm54B2N4j2Dihncwxh3v4YZ3aMsLL7xgBgwYYCIjI82ECRPM1q1bA/6MkFvnBQAAXNhCptsIAABAIngBAAAhhuAFAACEFIIXAAAQUghe2uFHP/qRJk6cqJiYGMXHxzebp7S0VLfddptiYmLUr18/PfLII2poaGi13JMnT+ree+9VbGys4uPjNWfOHN/U7862ceNGeTyeZo/t27e3eN+kSZOa5J83b16X1LklgwYNalKnp59+utV7ampqlJ2drT59+qhXr16aNm1ak4WVusrBgwc1Z84cDR48WD179tTQoUOVl5fX5uqYwfBZLFu2TIMGDVJ0dLTS09ObLBTptGrVKo0YMULR0dEaM2aM3n23e7fUyM/P1zXXXKPevXurX79+mjp1qoqLi1u9Z8WKFU1+7l29GNhXLVq0qEl92lqVPNg+B6n532OPx6Ps7Oxm8wfL57B582bdfvvtSk1Nlcfj0erVq63rxhg9+eSTSklJUc+ePZWZmalPP/20zXI7+rt1oSF4aYe6ujpNnz5dDz74YLPXGxsbddttt6murk5btmzRb3/7W61YsUJPPvlkq+Xee++92rNnj9atW6d33nlHmzdv1gMPPNAZr9DExIkTdezYMev4zne+o8GDB1sbVTZn7ty51n3PPPNMl9S5NUuWLLHq9NBDD7Waf8GCBfrjH/+oVatWadOmTTp69KjuvPPOLqqtbd++ffJ6vXrppZe0Z88eLV26VC+++KIef/zxNu/tzs/itddeU05OjvLy8rRz506NGzdOWVlZTVatPmfLli2aMWOG5syZo48++khTp07V1KlTtXv37i6rs9OmTZuUnZ2trVu3at26daqvr9ctt9yi6urqVu+LjY21fu6fffZZF9W4eZdffrlVn/fff7/FvMH4OUjS9u3brXdYt26dJGn69Okt3hMMn0N1dbXGjRunZcuWNXv9mWee0S9+8Qu9+OKL2rZtmy666CJlZWWppqamxTI7+rt1QQr45GsXKygoMHFxcU3Ov/vuuyYsLMyUlZX5zi1fvtzExsaa2traZsv629/+ZiSZ7du3+8796U9/Mh6Pxxw5ciTgdW9LXV2dSUxMNEuWLGk13w033GC++93vdk2l2mngwIFm6dKl7c5fUVFhIiIizKpVq3zn9u7daySZwsLCTqhhxz3zzDNm8ODBrebp7s9iwoQJJjs725dubGw0qampJj8/v9n8//Zv/2Zuu+0261x6err593//906tZ0ccP37cSDKbNm1qMU9L3wPdJS8vz4wbN67d+UPhczDGmO9+97tm6NChxuv1Nns92D4HY4yRZN58801f2uv1muTkZPPTn/7Ud66iosJERUWZ//N//k+L5XT0d+tCRMtLABQWFmrMmDHWTppZWVmqqqrSnj17WrwnPj7eauXIzMxUWFiYtm3b1ul1dnr77bd14sSJdq2C+Pvf/159+/bV6NGjlZubqzNnznRBDVv39NNPq0+fPrryyiv105/+tNUuu6KiItXX1yszM9N3bsSIERowYEDAt20/X5WVle3auK27Pou6ujoVFRVZP8OwsDBlZma2+DMsLCy08ktf/p4Ey89c+vLnLqnNn/3p06c1cOBApaWl6Y477mjx97yrfPrpp0pNTdWQIUN07733qrS0tMW8ofA51NXV6ZVXXtH999/fZEPArwq2z8HpwIEDKisrs37ecXFxSk9Pb/HnfT6/Wxeibt3byC3Kysqa3QL83LWW7jm3B9M5PXr0UEJCQov3dKaXX35ZWVlZ6t+/f6v57rnnHg0cOFCpqan6+OOP9eijj6q4uFhvvPFGF9W0qf/8z//UVVddpYSEBG3ZskW5ubk6duyYnnvuuWbzl5WVKTIyssn4paSkpG752TuVlJTohRde0LPPPttqvu78LL744gs1NjY2+//9vn37mr2npd+TYPiZS1/uwfLwww/ra1/7mkaPHt1ivuHDh+s3v/mNxo4dq8rKSj377LOaOHGi9uzZ0+bvT2dIT0/XihUrNHz4cB07dkyLFy/W17/+de3evVu9e/dukj/YPwdJWr16tSoqKlrduDfYPofmnPuZduTnfT6/WxeiCzZ4eeyxx/STn/yk1Tx79+5tc+BbsDmf9zp8+LDWrl2r119/vc3yvzomZ8yYMUpJSdHNN9+s/fv3a+jQoedfcYeOvEdOTo7v3NixYxUZGal///d/V35+frdu234+n8WRI0c0efJkTZ8+XXPnzm313q76LC4U2dnZ2r17d6vjRaQvN3TNyMjwpSdOnKiRI0fqpZde0lNPPdXZ1WxiypQpvv8eO3as0tPTNXDgQL3++uuaM2dOl9cnEF5++WVNmTKl1T3mgu1zQNe6YIOXhQsXthrVS9KQIUPaVVZycnKTkeDnZq60tA14cnJyk8FXDQ0NOnnypF9bh5/PexUUFKhPnz7613/91w4/79zu2yUlJQH9B9Ofzyc9PV0NDQ06ePCghg8f3uR6cnKy6urqVFFRYbW+BHrb9o6+w9GjR3XjjTdq4sSJ+vWvf93h53XWZ9Gcvn37Kjw8vMkMrdZ+hsnJyR3K35Xmz5/vGzTf0b/aIyIidOWVV6qkpKSTatcx8fHxuuyyy1qsTzB/DpL02Wefaf369R1uQQy2z0H65/d/eXm5UlJSfOfLy8t1xRVXNHvP+fxuXZC6e9BNKGlrwG55ebnv3EsvvWRiY2Nb3Hzr3IDdHTt2+M6tXbu2ywfser1eM3jwYLNw4cLzuv/99983ksxf//rXANfs/L3yyismLCzMnDx5stnr5wbs/uEPf/Cd27dvX7cO2D18+LAZNmyYufvuu01DQ8N5ldHVn8WECRPM/PnzfenGxkZzySWXtDpg9xvf+IZ1LiMjo1sHinq9XpOdnW1SU1PN//7v/55XGQ0NDWb48OFmwYIFAa7d+Tl16pS5+OKLzc9//vNmrwfj5/BVeXl5Jjk52dpUtz2C4XNQCwN2n332Wd+5ysrKdg3Y7cjv1oWI4KUdPvvsM/PRRx+ZxYsXm169epmPPvrIfPTRR77dpxsaGszo0aPNLbfcYnbt2mXWrFljEhMTTW5urq+Mbdu2meHDh5vDhw/7zk2ePNlceeWVZtu2beb99983w4YNMzNmzOjSd1u/fr2RZPbu3dvk2uHDh83w4cPNtm3bjDHGlJSUmCVLlpgdO3aYAwcOmLfeessMGTLEXH/99V1a56/asmWLWbp0qdm1a5fZv3+/eeWVV0xiYqKZOXOmL4/zPYwxZt68eWbAgAHmvffeMzt27DAZGRkmIyOjO17BHD582Fx66aXm5ptvNocPHzbHjh3zHV/NE2yfxauvvmqioqLMihUrzN/+9jfzwAMPmPj4eN+su29/+9vmscce8+X/4IMPTI8ePcyzzz5r9u7da/Ly8kxERIT55JNPuqzOTg8++KCJi4szGzdutH7uZ86c8eVxvsfixYvN2rVrzf79+01RUZG5++67TXR0tNmzZ093vIJZuHCh2bhxozlw4ID54IMPTGZmpunbt685fvx4s/UPxs/hnMbGRjNgwADz6KOPNrkWrJ/DqVOnfP8mSDLPPfec+eijj8xnn31mjDHm6aefNvHx8eatt94yH3/8sbnjjjvM4MGDzdmzZ31l3HTTTeaFF17wpdv63QLBS7vMmjXLSGpy/OUvf/HlOXjwoJkyZYrp2bOn6du3r1m4cKH1l8Nf/vIXI8kcOHDAd+7EiRNmxowZplevXiY2Ntbcd999voCoq8yYMcNMnDix2WsHDhyw3rO0tNRcf/31JiEhwURFRZlLL73UPPLII6aysrILa2wrKioy6enpJi4uzkRHR5uRI0eaH//4x1aLl/M9jDHm7Nmz5j/+4z/MxRdfbGJiYsw3v/lNK1joSgUFBc3+//XVhtFg/SxeeOEFM2DAABMZGWkmTJhgtm7d6rt2ww03mFmzZln5X3/9dXPZZZeZyMhIc/nll5v/+Z//6dL6OrX0cy8oKPDlcb7Hww8/7HvnpKQkc+utt5qdO3d2feX/4a677jIpKSkmMjLSXHLJJeauu+4yJSUlvuuh8Dmcs3btWiPJFBcXN7kWrJ/Due9253Gurl6v1/zgBz8wSUlJJioqytx8881N3m/gwIEmLy/POtfa7xaM8RhjTGd3TQEAAAQK67wAAICQQvACAABCCsELAAAIKQQvAAAgpBC8AACAkELwAgAAQgrBCwAACCkELwAAIKQQvAAAgJBC8AIAAEIKwQuAgPn888+VnJysH//4x75zW7ZsUWRkpDZs2NCNNQPgJuxtBCCg3n33XU2dOlVbtmzR8OHDdcUVV+iOO+7Qc889191VA+ASBC8AAi47O1vr16/X1VdfrU8++UTbt29XVFRUd1cLgEsQvAAIuLNnz2r06NE6dOiQioqKNGbMmO6uEgAXYcwLgIDbv3+/jh49Kq/Xq4MHD3Z3dQC4DC0vAAKqrq5OEyZM0BVXXKHhw4fr+eef1yeffKJ+/fp1d9UAuATBC4CAeuSRR/SHP/xBf/3rX9WrVy/dcMMNiouL0zvvvNPdVQPgEnQbAQiYjRs36vnnn9d///d/KzY2VmFhYfrv//5v/d//+3+1fPny7q4eAJeg5QUAAIQUWl4AAEBIIXgBAAAhheAFAACEFIIXAAAQUgheAABASCF4AQAAIYXgBQAAhBSCFwAAEFIIXgAAQEgheAEAACGF4AUAAIQUghcAABBS/j+kyvUIggJIswAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_edges = np.linspace(-10,10,101)\n", "y_edges = np.linspace(-10,10,51)\n", "\n", "h = Histogram([x_edges, y_edges], labels = ['x','y'], sumw2 = True)\n", "\n", "x = np.random.uniform(low=-10, high=10, size=100000)\n", "y = np.random.uniform(low=-10, high=10, size=100000)\n", "\n", "h.fill([x,y], weight = np.exp(-x*x-y*y/10))\n", "\n", "h.plot()\n", "\n", "h.project('x').plot()\n", "\n", "h.project('y').plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because `slice` always returns a histogram of the same dimensionality as the original, no matter the number of selected bins, if you want to get a \"cross section\" then you need to slice *and* project" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h.slice[50].plot()\n", "\n", "h.slice[50].project('y').plot();" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## Interpolation and rebinning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Basic rebinning and linear interpolation is also provided" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 1D example\n", "\n", "# First we take a slice as before\n", "h_slice = h.slice[30:40].project('y')\n", "\n", "ax,plot = h_slice.draw(label = \"Original\")\n", "\n", "# Rebining sums N bins together. \n", "# Here we divide by N to obtain the average\n", "h_rebin = h_slice.rebin(4)/4\n", "\n", "h_rebin.draw(ax, label = \"Rebinned\")\n", "\n", "# Interpolating at the original bin centroids\n", "x = np.linspace(-10,10,51)\n", "\n", "ax.plot(x, h_rebin.interp(x), linewidth = 2, label = \"Interpolation\");\n", "\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 2D example\n", "\n", "# Rebinning\n", "h_rebin = h.rebin(4,8)\n", "\n", "# e.g Interpolating a 2D histogram\n", "x = np.linspace(-10,10,301)\n", "y = np.linspace(-10,10,301)\n", "X,Y = np.meshgrid((x[1:]+x[:-1])/2, (y[1:]+y[:-1])/2)\n", "\n", "plt.pcolormesh(x,y, h_rebin.interp(X,Y));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arithmetic operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Histogram` supports arithmethic operations (`+`, `-`, `*`, `/`) with other `Histogram` objects, scalars, and arrays of an appropiate size. Make sure to set `sumw2=True` during initialization so the errors are propagated appropiately. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# e.g. normalizing a histogram\n", "h = Histogram(np.linspace(0,5, 101), sumw2 = True)\n", "\n", "x = np.random.uniform(0,5, size = 10000)\n", "h.fill(x, weight = np.exp(-x))\n", "\n", "h /= np.sum(h)\n", "\n", "h.draw();" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABMsAAAEpCAYAAACN2aWMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB4vklEQVR4nO3de1xUZf4H8M9wvyggKrefgmSlYl4SFCmvyYpKFxMtC5WKdC2slK2UlkVFCtdadXVJazW11LXs4pYaiJpaiRcw1KRcNRXLwNIAQWW4nN8fOsdzhhmYGeY+n/frNS+Zc87Mec44M8+c7/k+30chCIIAIiIiIiIiIiIigpOlG0BERERERERERGQtGCwjIiIiIiIiIiK6hcEyIiIiIiIiIiKiWxgsIyIiIiIiIiIiuoXBMiIiIiIiIiIiolsYLCMiIiIiIiIiIrqFwTIiIiIiIiIiIqJbGCwjIiIiIiIiIiK6hcEyIiIiIiIiIiKiWxgsIzKRefPmQaFQWLoZRERkJKrv9d9//91s+xw2bBjuueces+3P2nTp0gVPPfWUpZtBRNSErf/W79KlCx588EGz7vPcuXNQKBR46623zLpfa7Fnzx4oFArs2bPH0k0hHTBYRmRl3n77baxdu9bSzSAiIiIiIhPg730i68dgGZGVYedJRERERGS/+HufyPoxWEZERETkwGpqaizdBCIiIqMQBAHXr1+3dDPIDjBYRmQE33zzDfr37w8PDw907doV77zzTpNt1qxZgwceeAABAQFwd3dHREQEVqxYIdumS5cuOHHiBPbu3QuFQgGFQoFhw4YBAK5cuYKXX34ZvXr1Qps2beDj44PRo0fj6NGj5jhEIiK65ffff8djjz0GHx8ftG/fHi+99BJu3Lghrtfl+17lyy+/xNChQ9G2bVv4+Pigf//+2LhxY7P737FjB7y8vPDEE0+gvr4eAHD9+nW8+OKL6NChA9q2bYuHH34Yv/zyCxQKBebNmyc+VlVjp6SkBE8++STatWuHQYMGAQDq6+uxYMECdO3aFe7u7ujSpQtee+011NbWyvav/pwq6vXF1q5dC4VCgW+//Rapqano2LEjvL298eijj+K3336TPVYQBGRlZaFTp07w8vLC8OHDceLEiWZfByIic9Hltz5gm7/3d+zYgb59+8LDwwMRERH49NNPZev1adONGzcwb9483H333fDw8EBwcDDGjRuHM2fOaN2/IAiYNm0a3NzcZPs+duwYhg4dCk9PT3Tq1AlZWVlYs2YNFAoFzp07J26nqr2Wl5eHqKgoeHp6iv8/P/30EyZMmAB/f394eXlh4MCB2LZtm2z/qr5K+pyA5vpiqjqiJSUlGD58OLy8vPB///d/WLRoUZPj+vnnnzF27Fh4e3sjICAAs2bNatKfknVzsXQDiGzd8ePHMXLkSHTs2BHz5s1DfX095s6di8DAQNl2K1asQM+ePfHwww/DxcUFX3zxBZ5//nk0NjYiJSUFALB06VK88MILaNOmDf76178CgPg8P/30E7Zs2YIJEyYgPDwc5eXleOeddzB06FCUlJQgJCTEvAdOROSgHnvsMXTp0gXZ2dk4cOAAli1bhj/++APvv/8+AN2+74GbP9CfeeYZ9OzZE2lpafDz88N3332H3NxcPPnkkxr3vXXrVowfPx6PP/443nvvPTg7OwMAnnrqKXz00UeYPHkyBg4ciL179yI+Pl7rMUyYMAF33XUX3njjDQiCAAB49tlnsW7dOowfPx5/+ctfcPDgQWRnZ+OHH37AZ599ZvDr9cILL6Bdu3aYO3cuzp07h6VLl2LGjBn48MMPxW0yMjKQlZWFMWPGYMyYMThy5AhGjhwJpVJp8H6JiIxB19/6gO393j916hQef/xxTJ8+HUlJSVizZg0mTJiA3Nxc/OlPf9KrTQ0NDXjwwQexa9cuTJw4ES+99BKuXr2K/Px8fP/99+jatWuT/Tc0NOCZZ57Bhx9+iM8++0zst3755RcMHz4cCoUCaWlp8Pb2xqpVq+Du7q7xOE6ePIknnngCf/7znzF16lR069YN5eXluO+++3Dt2jW8+OKLaN++PdatW4eHH34YH3/8MR599FGDXrM//vgDo0aNwrhx4/DYY4/h448/xuzZs9GrVy+MHj0awM0LWCNGjEBpaSlefPFFhISE4IMPPsDu3bsN2idZiEBErTJ27FjBw8NDOH/+vLispKREcHZ2FqQfsWvXrjV5bFxcnHDHHXfIlvXs2VMYOnRok21v3LghNDQ0yJadPXtWcHd3FzIzM1t5FERE1JK5c+cKAISHH35Ytvz5558XAAhHjx4VBEG37/uKigqhbdu2QnR0tHD9+nXZto2NjeLfQ4cOFXr27CkIgiB88skngqurqzB16lRZf1BUVCQAEGbOnCl7nqeeekoAIMydO7fJMTzxxBOybYuLiwUAwrPPPitb/vLLLwsAhN27d4vL1J9TJSwsTEhKShLvr1mzRgAgxMbGyo5p1qxZgrOzs1BRUSEIgiBcunRJcHNzE+Lj42XbvfbaawIA2XMSEZmbrr/1BcG2fu+HhYUJAIRPPvlEXFZZWSkEBwcL9957r95teu+99wQAwuLFi5vsS/XdfvbsWQGA8Oabbwp1dXXC448/Lnh6egp5eXmy7V944QVBoVAI3333nbjs8uXLgr+/vwBAOHv2bJPjyM3NlT3HzJkzBQDC119/LS67evWqEB4eLnTp0kU8JlVfJX1OQRCEr776SgAgfPXVV+KyoUOHCgCE999/X1xWW1srBAUFCQkJCeKypUuXCgCEjz76SFxWU1Mj3HnnnU2ek6wXh2EStUJDQwPy8vIwduxYhIaGist79OiBuLg42baenp7i35WVlfj9998xdOhQ/PTTT6isrGxxX+7u7nBychL3e/nyZbRp0wbdunXDkSNHjHRERETUEml2GHAzcwoAtm/fDkC37/v8/HxcvXoVc+bMgYeHh+z5FApFk33+5z//weOPP44///nPeOedd8T+AAByc3MBAM8//7zGdmkyffp02X1V21NTU2XL//KXvwBAk2Er+pg2bZrsmAYPHoyGhgacP38eALBz504olUq88MILsu1mzpxp8D6JiIxBn9/6gO393g8JCZFlWPn4+GDKlCn47rvvUFZWplebPvnkE3To0EFj36PerymVSkyYMAFbt27F9u3bMXLkSNn63NxcxMTEoG/fvuIyf39/JCYmajyO8PDwJv8f27dvx4ABA8RSAwDQpk0bTJs2DefOnUNJSUlzL41Wbdq0waRJk8T7bm5uGDBgAH766SfZvoODgzF+/HhxmZeXF6ZNm2bQPskyGCwjaoXffvsN169fx1133dVkXbdu3WT3v/32W8TGxsLb2xt+fn7o2LEjXnvtNQDQqfNsbGzEkiVLcNddd8Hd3R0dOnRAx44dcezYMZ0eT0RExqH+nd+1a1c4OTmJ9U50+b5X1W+55557Wtzf2bNnMWnSJCQkJGD58uVNTjrOnz8PJycnhIeHy5bfeeedWp9TfVvVc6g/JigoCH5+fmJgyxDSE0wAaNeuHYCbQ1lU+waavq4dO3YUtyUisgR9fusDlv29f+XKFZSVlYk3XfZ35513NulT7r77bgAQ+zRd23TmzBl069YNLi4tV3rKzs7Gli1b8PHHH4v12qTOnz+vsQ/T1q+p92mq59D0f9SjRw9xvSE6derU5DVr166d2KepnlvTa6upPWS9GCwjMoMzZ85gxIgR+P3337F48WJs27YN+fn5mDVrFoCbnVBL3njjDaSmpmLIkCFYv3498vLykJ+fj549e+r0eCIiMg3pj2FjfN+rCw4Oxn333Yft27ejsLDQKG2WZj9Iacpq01VDQ4PG5aq6auqEW7XSiIjsgaV/748bNw7BwcHi7aWXXjLKcZniHCQuLg7e3t5YtGiRbIIcQ2nr03Shrd9jn0Ys8E/UCh07doSnpydOnTrVZN3JkyfFv7/44gvU1tbi888/l11h/+qrr5o8TtsX9scff4zhw4dj9erVsuUVFRXo0KGDoYdARER6OnXqlOwq9unTp9HY2IguXbro/H2vKnT8/fffN5sBBgAeHh7YunUrHnjgAYwaNQp79+5Fz549xfVhYWFobGzE2bNnZdkPp0+f1vmYVM9x6tQp8ao7AJSXl6OiogJhYWHisnbt2qGiokL2eKVSiV9//VXn/anvG7j5ut5xxx3i8t9++012pZ6IyNx0/a0PWP73/j/+8Q/Zd6YukwGcPn0agiDI2vO///0PwM1ZJvVpU9euXXHw4EHU1dXB1dW12f0OHDgQ06dPx4MPPogJEybgs88+k2WkhYWFaezD9O3X1P+PAODHH38U1wO3s53V+7XWZFSHhYXh+++/b/LaamoPWS9mlhG1grOzM+Li4rBlyxaUlpaKy3/44Qfk5eXJtgPkVxwqKyuxZs2aJs/p7e3d5Mta9RzqVyw2b96MX375pbWHQUREesjJyZHdX758OQBg9OjROn/fjxw5Em3btkV2dnaTq+qark77+voiLy8PAQEB+NOf/iQO4wQg1ml5++23NbZLF2PGjAFwc5Y2qcWLFwOAbGbNrl27Yt++fbLt3n33Xa1X4VsSGxsLV1dXLF++XHbs6m0hIjI3XX/rq7YFLPd7PzIyErGxseItIiKixcdcvHhRNttxVVUV3n//ffTt2xdBQUF6tSkhIQG///47/vWvfzXZj6Z+LTY2Fps2bUJubi4mT54sy1KLi4tDQUEBiouLxWVXrlzBhg0bWjwmlTFjxuDQoUMoKCgQl9XU1ODdd99Fly5dxNdHdfFK2q81NDTg3Xff1XlfmvZ98eJFfPzxx+Kya9euteo5yfyYWUbUSvPnz0dubi4GDx6M559/HvX19Vi+fDl69uyJY8eOAbh5UuTm5oaHHnoIf/7zn1FdXY1///vfCAgIaHIlPjIyEitWrEBWVhbuvPNOBAQE4IEHHsCDDz6IzMxMPP3007jvvvtw/PhxbNiwQXYVnoiITO/s2bN4+OGHMWrUKBQUFGD9+vV48skn0adPH3h4eOj0fe/j44MlS5bg2WefRf/+/fHkk0+iXbt2OHr0KK5du4Z169Y12W+HDh2Qn5+PQYMGITY2Ft988w3+7//+D5GRkUhISMDSpUtx+fJlDBw4EHv37hWzA3QZWtmnTx8kJSXh3XffRUVFBYYOHYpDhw5h3bp1GDt2LIYPHy5u++yzz2L69OlISEjAn/70Jxw9ehR5eXkGZzl37NgRL7/8MrKzs/Hggw9izJgx+O677/Dll18yc5qILE6X3/qAbf7ev/vuu5GcnIzDhw8jMDAQ7733HsrLy2UBPl3bNGXKFLz//vtITU3FoUOHMHjwYNTU1GDnzp14/vnn8cgjjzTZ/9ixY7FmzRpMmTIFPj4+eOeddwAAr776KtavX48//elPeOGFF+Dt7Y1Vq1YhNDQUV65c0alfmzNnDv7zn/9g9OjRePHFF+Hv749169bh7Nmz+OSTT8RJC3r27ImBAwciLS0NV65cgb+/PzZt2oT6+nqDX9epU6fiX//6F6ZMmYKioiIEBwfjgw8+gJeXl8HPSRZgkTk4iezM3r17hcjISMHNzU244447hJUrVwpz586VTSf9+eefC7179xY8PDyELl26CH//+9/FKZalUxWXlZUJ8fHxQtu2bQUA4rTSN27cEP7yl78IwcHBgqenp3D//fcLBQUFwtChQzVOPU1ERMal+l4vKSkRxo8fL7Rt21Zo166dMGPGDOH69evidrp+36u2ve+++wRPT0/Bx8dHGDBggPCf//xHXD906FChZ8+essecPn1aCA4OFnr06CH89ttvgiDcnJI+JSVF8Pf3F9q0aSOMHTtWOHnypABAWLhwYZNjUD1Oqq6uTpg/f74QHh4uuLq6Cp07dxbS0tKEGzduyLZraGgQZs+eLXTo0EHw8vIS4uLihNOnTwthYWFCUlKSuN2aNWsEAMLhw4dlj//qq68EAMJXX30le8758+eLfdywYcOE77//vslzEhFZgi6/9QXBtn7vh4WFCfHx8UJeXp7Qu3dvwd3dXejevbuwefNm2Xb6tOnatWvCX//6V7EfCQoKEsaPHy+cOXNGEARBOHv2rABAePPNN2WPe/vttwUAwssvvywu++6774TBgwcL7u7uQqdOnYTs7Gxh2bJlAgChrKysyXFocubMGWH8+PGCn5+f4OHhIQwYMEDYunWrxu1iY2MFd3d3ITAwUHjttdeE/Pz8Jn2Vpj5ZEAQhKSlJCAsLky07f/688PDDDwteXl5Chw4dhJdeeknIzc1t8pxkvRSCwEp0RERERPamuLgY9957L9avX4/ExERLN4eIiKhVZs6ciXfeeQfV1dVaC+0TGQtrlhERERHZuOvXrzdZtnTpUjg5OWHIkCEWaBEREZHh1Pu1y5cv44MPPsCgQYMYKCOzYM0yIiIiIhu3aNEiFBUVYfjw4XBxccGXX36JL7/8EtOmTUPnzp0t3TwiIiK9xMTEYNiwYejRowfKy8uxevVqVFVV4W9/+5ulm0YOgsMwiYiIiGxcfn4+5s+fj5KSElRXVyM0NBSTJ0/GX//6V7i48NooERHZltdeew0ff/wxfv75ZygUCvTr1w9z585FbGyspZtGDoLBMiIiIiIiIiIioltYs4yIiIiIiIiIiOgWBsuIiIiIiIiIiIhusdsiFo2Njbh48SLatm0LhUJh6eYQEdk8QRBw9epVhISEwMmJ11rYzxARGRf7GTn2M0RExqVPP2O3wbKLFy9y9iciIhO4cOECOnXqZOlmWBz7GSIi02A/cxP7GSIi09Cln7HbYFnbtm0B3HwRfHx8LNwaIiLbV1VVhc6dO4vfr46O/QwRkXGxn5FjP0NEZFz69DN2GyxTpSr7+PiwcyEiMiIOBbmJ/QwRkWmwn7mJ/QwRkWno0s+wGAAREREREREREdEtDJYRERERERERERHdwmAZERERERERERHRLQyWERERERERERER3cJgGRERERERERER0S0MlhEREREREREREd3CYBkREREREZHEvHnzoFAoZLfu3buL62/cuIGUlBS0b98ebdq0QUJCAsrLy2XPUVpaivj4eHh5eSEgIACvvPIK6uvrzX0oRERkAL2DZfv27cNDDz2EkJAQKBQKbNmyRbb+qaeeatKxjBo1SrbNlStXkJiYCB8fH/j5+SE5ORnV1dWybY4dO4bBgwfDw8MDnTt3xqJFi/Q/OiIiIiIiIgP07NkTv/76q3j75ptvxHWzZs3CF198gc2bN2Pv3r24ePEixo0bJ65vaGhAfHw8lEol9u/fj3Xr1mHt2rXIyMiwxKEQEZGe9A6W1dTUoE+fPsjJydG6zahRo2Qdy3/+8x/Z+sTERJw4cQL5+fnYunUr9u3bh2nTponrq6qqMHLkSISFhaGoqAhvvvkm5s2bh3fffVff5hJZ1DVlPbrM2YYuc7bhmpJXEomIHAn7ACLb5uLigqCgIPHWoUMHAEBlZSVWr16NxYsX44EHHkBkZCTWrFmD/fv348CBAwCAHTt2oKSkBOvXr0ffvn0xevRoLFiwADk5OVAqlZY8LCKzYl9ItkrvYNno0aORlZWFRx99VOs27u7uso6lXbt24roffvgBubm5WLVqFaKjozFo0CAsX74cmzZtwsWLFwEAGzZsgFKpxHvvvYeePXti4sSJePHFF7F48WIDDpGIiIiIiEg/p06dQkhICO644w4kJiaitLQUAFBUVIS6ujrExsaK23bv3h2hoaEoKCgAABQUFKBXr14IDAwUt4mLi0NVVRVOnDhh3gMhaiUGvMgRmaRm2Z49exAQEIBu3brhueeew+XLl8V1BQUF8PPzQ1RUlLgsNjYWTk5OOHjwoLjNkCFD4ObmJm4TFxeHkydP4o8//tC4z9raWlRVVcluRERERERE+oqOjsbatWuRm5uLFStW4OzZsxg8eDCuXr2KsrIyuLm5wc/PT/aYwMBAlJWVAQDKyspkgTLVetU6TXg+Q0RkPVyM/YSjRo3CuHHjEB4ejjNnzuC1117D6NGjUVBQAGdnZ5SVlSEgIEDeCBcX+Pv7yzqX8PBw2TbSzkWaqaaSnZ2N+fPnG/twiAwmCILsyss1ZT08XZ2hUCgs2CoiIrlrynpEZOQBAEoy4+DlZvSfBkQmx/cxGdvo0aPFv3v37o3o6GiEhYXho48+gqenp0n2yfMZIiLrYfTMsokTJ+Lhhx9Gr169MHbsWGzduhWHDx/Gnj17jL0rmbS0NFRWVoq3CxcumHR/RM0RBAHjVxYgKmuXuCwqaxcmrCyAIAgWbBkREZmL9Pv+mrKe3/8GsMehP/Z4TI7Az88Pd999N06fPo2goCAolUpUVFTItikvL0dQUBAAICgoqMnsmKr7qm3U8XyGiMh6mGQYptQdd9yBDh064PTp0wBudg6XLl2SbVNfX48rV660qnNxd3eHj4+P7EZkKdfrGlB0vumQ4cLzf+B6XYMFWkRE5DisIRghCAImrTok3ne0CybW8H9gCGm7f6++YZPHQKZRXV2NM2fOIDg4GJGRkXB1dcWuXbcvip48eRKlpaWIiYkBAMTExOD48eOy8578/Hz4+PggIiJC4z54PkNEZD1MHiz7+eefcfnyZQQHBwO42XFUVFSgqKhI3Gb37t1obGxEdHS0uM2+fftQV1cnbpOfn49u3bppHIJJREREZE2u1zXguwsVsmXmvmBiLQEra2kHkT5efvll7N27F+fOncP+/fvx6KOPwtnZGU888QR8fX2RnJyM1NRUfPXVVygqKsLTTz+NmJgYDBw4EAAwcuRIREREYPLkyTh69Cjy8vKQnp6OlJQUuLu7W/joiIioJXoHy6qrq1FcXIzi4mIAwNmzZ1FcXIzS0lJUV1fjlVdewYEDB3Du3Dns2rULjzzyCO68807ExcUBAHr06IFRo0Zh6tSpOHToEL799lvMmDEDEydOREhICADgySefhJubG5KTk3HixAl8+OGH+Oc//4nU1FTjHTkRERHZ/VBBBmoMo8vrZi2vrXqNUHt7D5Nl/Pzzz3jiiSfQrVs3PPbYY2jfvj0OHDiAjh07AgCWLFmCBx98EAkJCRgyZAiCgoLw6aefio93dnbG1q1b4ezsjJiYGEyaNAlTpkxBZmampQ6JyCis5bufyNT0rn5aWFiI4cOHi/dVAaykpCSsWLECx44dw7p161BRUYGQkBCMHDkSCxYskF1B2bBhA2bMmIERI0bAyckJCQkJWLZsmbje19cXO3bsQEpKCiIjI9GhQwdkZGRg2rRprTlWIiIiktA0VDAqrB02T4/ReTISFlY3jPR1K0wfIda41Pc1dPTXX1UjVFr6YPLqQ/jkufsMeg8Xpo8wSTul1APUqsl/HP3/0tps2rSp2fUeHh7IyclBTk6O1m3CwsKwfft2YzeNiIjMQO9eeNiwYc1escvLy2vxOfz9/bFx48Zmt+nduze+/vprfZtHZPUiMvJ0/hHMH85Ejkf9cw/AZN8DzQ0VtOXvG+nvlOtK1ok0N2NmemkLLKloqhF6pLTC4PewtveOsWa0bi5ALWXM/p+/JYiIiPTH3pLIxNRPdomILE168mxNjHFSrx6MGLxoj0XaYWmGBKx0ybBqaRtNmV6Jkv8PfQJnxsh81Ffyuts1daXvHWPt2xpq2anYw/uciIjIVExe4J+IiIgcj6VqmmgKRqhcrq51iDorqoCVamgncHNoorFreWmqd6cp0+t/5dUGtcMSgaVjP1dqXWctM1pzxk4iIiLTY7CMyAJ0OWFrLiuAhTWJSBtznkirf09pmyDAHN9Zqn00lzFnSJaZMRSmx8ruq79u0uF++ga0dA1YqYYmtuZ51UmzsKKydmHCygK01Hx926FJREaezu8jXd572l7zr18dptO+jfWZs+TwYf6uICIikmOwjMgCWjphM1dWABFZH/UghS5D6Sxxoqvpe+p2wMR6vqv6dPLVabvWvIb6PDYiIw/hadtlr5u0T9Dnu17TMMXmAlYRGXk6B3Q0B8LkT6yehaUt80pT0Km1dAmO6kL9NZTydHNu1XPr1w5oHT7c2llqzTHjLYNtRLaPn2MiOQbLiMzA09UZ/UL9dN7eGFkBRGR7NNZoMkHQ3BjPoel7CjB8qJoxi8JLrUqK1Psxrcn0ai19vuuNOUxR/fXXFggz5PUwZ9BJX80N27WWdrQmCK09oCpwIgwiMgtzBOyJTIHBMiIzUCgU+CB5gMZ1+nYa6ic0NbV1vApEZIM0XcFt6cRdGkgx9Aqwtkwa9aGCraXribjqONSzrYwVGNRWjL25715DM70MZYrMK31oyhLUvB20ZmGpRGXtNGbT9GKM97Cp/i/0zYS7O7CN7H7h+T8QnrYdXeZsw+XqWnF5S4FdbQHVa8qGVk+EQUTUkuYC9kTWjsEyIiPQ5aRV2wmbtNNo6ce0IKDJCc2zkqEyRPZg3759eOihhxASEgKFQoEtW7bI1guCgIyMDAQHB8PT0xOxsbE4deqUbJsrV64gMTERPj4+8PPzQ3JyMqqrq2XbHDt2DIMHD4aHhwc6d+6MRYsWmfrQ9FaYPkLrrITaSE+epX9L61mpnzxHhbWDp+vt7B/VcD31emS6BueMMaSsNTW2dKHrD3ZjBChboi3zylxDYrRlCWrazlRZWPoeqy6ZUIZkK+qSBSd9D7em/pw0uKceZNzwrOYLbID882RoYLe5/8vmPqMcpkXkeFqT+W1NMwAT6YvBMiILUK+ho2un0XNuXpMTmqPNzNxFZItqamrQp08f5OTkaFy/aNEiLFu2DCtXrsTBgwfh7e2NuLg43LhxQ9wmMTERJ06cQH5+PrZu3Yp9+/Zh2rRp4vqqqiqMHDkSYWFhKCoqwptvvol58+bh3XffNfnx6cPLzQVebi4tbic9Qdd2Iq2tnlVh+ghsnh4DLfF8g5hqSBmg+WRdW7ZcSWac7PXT9t2rfiKgTlPwUMrWhpjoEtDRJcPKnBlx6lljLdf+bHpxSZdgkpebC84tjMe5hfFaP3uq93BjY9OMPGm7nvz3QYMDS9ousDXHWOUadP2MSj+L0mw3W/gMEJFuNGUe80I9OQoGy4gswJAaOkSOYvTo0cjKysKjjz7aZJ0gCFi6dCnS09PxyCOPoHfv3nj//fdx8eJFMQPthx9+QG5uLlatWoXo6GgMGjQIy5cvx6ZNm3Dx4kUAwIYNG6BUKvHee++hZ8+emDhxIl588UUsXrzYnIcqam2xcl2HUGkKzHu5ueh9Yn5NWa9XW7UNKTNWZoou2XKA5u9eTUEVfehbZN8cWhoK2TQbqek2umRYtbRNSWYczi2MR4c2HijJjGvx+ZrdlwVqf6oCZ2ezxzTZd+H5P3DlmrLZjDxzXMwyNGCp/h4x9CKeiubAPANmRLZO03cpL9STo2CwjAjahxXoOuW8vqnJ2k5MNT1Wnxos/GFK9u7s2bMoKytDbOztz4Wvry+io6NRUFAAACgoKICfnx+ioqLEbWJjY+Hk5ISDBw+K2wwZMgRubm7iNnFxcTh58iT++EPzyW9tbS2qqqpkt9ZoTXHt5jKhpIGp1mb+GGvIlbYhZS1ldBnqdracQpYp5O3u2mRbTScCus6gqXq8piEmPefeDiZ6ujojKqydwftojRPz45rsW6o12Uiq19bQQJg+7y+FArLan+oBWE3BUWPRVndUU1BS22fOVAX0WxrCq2tQ29gX8TjMioj0wSHeZI0YLCNqBU2pydqu0rc0tEOXwsktMUchaiJLKisrAwAEBgbKlgcGBorrysrKEBAQIFvv4uICf39/2TaankO6D3XZ2dnw9fUVb507dzb4ONSzkfQprt1SJpQ0MNXaWQi1BfTUv2dKMuOaDZhou0AwadUhgzO6mmNItpyUtsCB9DW4XF2rczBCoQA2T4+R1Z/bODVa7BM0ZV6pBxKlQ9s0BUK0XVjRtG9dgqiaAmGmLN4vfU9pe22l/6fS97mxhhKrD9vVtu/maPvM6fMZb64dLWlpyLA2uhyfqWasJSIiskYMlhG1grZhHtKMAn2eS5dhRM0xVr0SImoqLS0NlZWV4u3ChQsGP5cuhdK1nTC3lAnVmiCROmldEunJvrHqlai/BtqyrbTVRjLVybq211BbPThdn1P6/9nc/5OmgGhrhrap77u1QVR1mjLn+oX66dV/JWt5r2kjff00BUctOSunLlrq36VDQI2Vldia2UI1XRxMbOUFPiKyfQyakz1jsIyoGc0Vbda3Zo+ULlfsVVfKvdw0n4SczR6Ds9lj9J4pj8iWBQUFAQDKy8tly8vLy8V1QUFBuHTpkmx9fX09rly5IttG03NI96HO3d0dPj4+sps5eLm5tJjdY+gQKmlATlPAQ1tdElPVK9k4NbrFIX2aCqgb+l2sjfprbm7aZqc01dA26XtKVWespcwm6XtHoVA0yV77IHmAXoHbYw5UA0fav6vXQlMPoml6bY09ZLKlTLZrynqEp21v8p78X3m1lkcQkaPgqBayZwyWEUFzUEx70WbzdAiqK+XNnYSoZwtIcew/2aPw8HAEBQVh167b2Q1VVVU4ePAgYmJiAAAxMTGoqKhAUdHtTJXdu3ejsbER0dHR4jb79u1DXV2duE1+fj66deuGdu2013eyVvoEJbRl3Gj6rjEGfYaU6ZsVp2/QTp+hhZqCh+p1skzF2rOiNNEnc041VFCaJWguhg5TbC1pNpi0f5fWQpPW2pNSf2293V2bHcILGKdGmj6vlblq8BGRdeGoFrJnDJaRw9MWFLum1Fy0OTxtu9l/aOtzEkJk66qrq1FcXIzi4mIAN4v6FxcXo7S0FAqFAjNnzkRWVhY+//xzHD9+HFOmTEFISAjGjh0LAOjRowdGjRqFqVOn4tChQ/j2228xY8YMTJw4ESEhIQCAJ598Em5ubkhOTsaJEyfw4Ycf4p///CdSU1MtcszqJ5qtKVYurY/YoY2HXgXYmwvAa6PLcLvmZhXUZ4ZDXbSm3pOUpuChtokKzCkiIw81tXVNlmuaLdKURe+NQd+hrC3V/tSmNcMP1fet7bMknflT9V7XJRuspeGkhtL02jb3HjFksgZp7TvO8k3kOFo7eRCRrWj9r0kiG6dtJrOWrpKYamYrIkdXWFiI4cOHi/dVAaykpCSsXbsWr776KmpqajBt2jRUVFRg0KBByM3NhYeHh/iYDRs2YMaMGRgxYgScnJyQkJCAZcuWiet9fX2xY8cOpKSkIDIyEh06dEBGRgamTZtmvgOVWJUUif6v7wZwM7ukvbe7XifNqhNdU+rTyVfM5Pr61WHiybim4XbNZa99kDwAPefuAHDzWD1dncX7mphqxkxN1ANt+l6oODE/DpNXH8SR0gpxmTRgZaz/p2QNNeNUs0VKX1vp+0h93yWZcUYfvmpO5njPa6LKOCyUDEnUFDC2totcUWHt4OXm3Ox7RF/S2neqbLfWlKggIttg7LqXRNaKmWVEBlK/antiflyrCxyr6JMZoa22jqaZxTgkk2zBsGHDxKHQ0tvatWsB3DzpzMzMRFlZGW7cuIGdO3fi7rvvlj2Hv78/Nm7ciKtXr6KyshLvvfce2rSRD6Hr3bs3vv76a9y4cQM///wzZs+eba5DbMJU2SWtpS1zRPpDWd+26nOsLc38aUmasgFVwQgVbcPqWku9vpcqIGeK95G5Mtak7zVjZlpqY2hJBWPUZzO2loYMS9+HhrxHeHGQiIgcETPLiIygX6gfvNycsXl6DC7X1Iondi39gFadhGjLQpDS5yq6+tBSfYe6EJH5tKaQvLGGHGrTmqCYrtS/26QBfU0zC0sz3CxJWzaguQOfrc0OaommbEBt+2tNtpf0vWZopqWuWV/AzaLUnzx3n0FtNSRrrLWZcM09XhXAk/7+2PDsAPE1bO37kL8hiByDeg1nax7GT2QODJYRGYE0KKbPD2h9TkJ0xeEPRPZHnyCAtscbEpiXBq60LTc3aSBFna4ZSPq8nupBCm2vjamCVapgqrbvdkP3rc9rYIwAoKb9SQOfzb3vdN2fpqDRB8kDxFmlpfs+UlqB8LTteh+HsRlrOKm5hn32C/XDJ8/dB4VCwUx1IjuiqYZzVFg7rHvG8rU6iSyFwzCJdKBpiKV0mEhrfpSaOwtBNdsnEdmO1g790nXWPVugqo2kXkBdn2OylaF0hg7l14W5XwNN+zNFUXhNQSNTzfTaEkMnJLCkloZ0ql8ctLXjIyLNDK3hTGTP2LMRSRSmx2osTK1QoMnV6uayG6yZ6kqRrZ4oE9kjXbJLWps5YszAfGuyYUyVSaPvMVlbAXZtWVEKhUJjZqAm+r625n4NLPmaGzLTqz1q6T3S0pBOS39OiIiIzIWZZUQ60vVHvjVeaVUvlswrRUSkC32+z8xVCN7ataYP0NbPqGcGSovh2zJr7C91ZY1tl7apQxsPo78PHdnChQuhUCgwc+ZMcdmNGzeQkpKC9u3bo02bNkhISEB5ebnscaWlpYiPj4eXlxcCAgLwyiuvoL6ew1eJgJujXTgBGVkz6+jdiWyQsbIjjPU8zbHVLDgish2mqMFozczx3S0lfR3bt3E3677Nfazm3h9Rcw4fPox33nkHvXv3li2fNWsWtm3bhs2bN8PX1xczZszAuHHj8O233wIAGhoaEB8fj6CgIOzfvx+//vorpkyZAldXV7zxxhuWOBQivWkacaNOVVNTOunQNWV9k1qb2kbwEFkrvTPL9u3bh4ceegghISFQKBTYsmWLuK6urg6zZ89Gr1694O3tjZCQEEyZMgUXL16UPUeXLl3EGhKq28KFC2XbHDt2DIMHD4aHhwc6d+6MRYsWGXaERA5AU40R4GZWx9nsMfB2d7VAq4jI0RizELxUv1A/nM0eY1VZPGS9rDHri2xTdXU1EhMT8e9//xvt2t3+XqqsrMTq1auxePFiPPDAA4iMjMSaNWuwf/9+HDhwAACwY8cOlJSUYP369ejbty9Gjx6NBQsWICcnB0ql0lKHRGSVGV3qM3GyvjJZA71/QdTU1KBPnz545plnMG7cONm6a9eu4ciRI/jb3/6GPn364I8//sBLL72Ehx9+GIWFhbJtMzMzMXXqVPF+27Ztxb+rqqowcuRIxMbGYuXKlTh+/DieeeYZ+Pn5Ydq0afo2mUgkvcohvfqhK2u92q2pxkhLWR0RGXkGvQZEZDnWUCvM1Jqr3aWutcdkK6+JKTlS1piXmwvOZo/BhJUFspkxAcccMqwrR/6cpKSkID4+HrGxscjKyhKXFxUVoa6uDrGxseKy7t27IzQ0FAUFBRg4cCAKCgrQq1cvBAYGitvExcXhueeew4kTJ3Dvvfea9ViIWkt13mCKAFvyuiLxb9ZXJmuh91ny6NGjMXr0aI3rfH19kZ+fL1v2r3/9CwMGDEBpaSlCQ0PF5W3btkVQUJDG59mwYQOUSiXee+89uLm5oWfPniguLsbixYsZLCPSorXFromIrIUj10xy5MCEORhycckR8X0IbNq0CUeOHMHhw4ebrCsrK4Obmxv8/PxkywMDA1FWViZuIw2Uqdar1mlSW1uL2tpa8X5VVVVrDoHIZhz7uVJ2X1VfmRf1yZJMXuC/srISCoWiSWeycOFCtG/fHvfeey/efPNNWbHLgoICDBkyBG5ubuKyuLg4nDx5En/8Ib8SqFJbW4uqqirZjag17GlMvepHb0lmnKWbQkREBuDQQuPhxSVqyYULF/DSSy9hw4YN8PDwMNt+s7Oz4evrK946d+5stn0TEZGcSX9t3bhxA7Nnz8YTTzwBHx8fcfmLL76Ifv36wd/fH/v370daWhp+/fVXLF68GMDNqy3h4eGy55JeiZHWDFDJzs7G/PnzTXg0ZA/Ux8Pb25ALfa8Eq14DniQQkTEwG4WI7EFRUREuXbqEfv36icsaGhqwb98+/Otf/0JeXh6USiUqKipkCQHl5eXiyJmgoCAcOnRI9ryq2TK1ja5JS0tDamqqeL+qqooBMyIiCzFZsKyurg6PPfYYBEHAihUrZOuknUDv3r3h5uaGP//5z8jOzoa7u7tB+2PnQtpI65T17uQrLleNh1/3zABLNc3iWBOAiIiISG7EiBE4fvy4bNnTTz+N7t27Y/bs2ejcuTNcXV2xa9cuJCQkAABOnjyJ0tJSxMTEAABiYmLw+uuv49KlSwgICAAA5Ofnw8fHBxERERr36+7ubvC5EBERGZdJgmWqQNn58+exe/duWVaZJtHR0aivr8e5c+fQrVs3BAUFiVdeVFq6EsPOhXShbTy8o/B0dUa/UD8cKa0Ql7EmABFZI2apEZGltG3bFvfcc49smbe3N9q3by8uT05ORmpqKvz9/eHj44MXXngBMTExGDhwIABg5MiRiIiIwOTJk7Fo0SKUlZUhPT0dKSkpPGchm+bl5oKSzDgxGcEQERl5KEwfYcRWERmf0WuWqQJlp06dws6dO9G+ffsWH1NcXAwnJyfxqktMTAz27duHuro6cZv8/Hx069ZN4xBMIm0EQbCaKZGtgUKhwAfJjptJR0REBLAGHLXekiVL8OCDDyIhIQFDhgxBUFAQPv30U3G9s7Mztm7dCmdnZ8TExGDSpEmYMmUKMjMzLdhqsnfXlPXoMmcbuszZxnMgolbS+9dBdXU1Tp8+Ld4/e/YsiouL4e/vj+DgYIwfPx5HjhzB1q1b0dDQIM724u/vDzc3NxQUFODgwYMYPnw42rZti4KCAsyaNQuTJk0SA2FPPvkk5s+fj+TkZMyePRvff/89/vnPf2LJkiVGOmyyd9Khl/rQlHllb9PJ6zrcUvoaFqaPEGcNU00bTUREROQo9uzZI7vv4eGBnJwc5OTkaH1MWFgYtm/fbuKWERGRKeh9xltYWIjhw4eL91V1wpKSkjBv3jx8/vnnAIC+ffvKHvfVV19h2LBhcHd3x6ZNmzBv3jzU1tYiPDwcs2bNktUb8/X1xY4dO5CSkoLIyEh06NABGRkZmDZtmiHHSKQzhQL4IHkAes7dAcBxppOPyMhjEIyIiIiIyIEYmmBA5Aj0PjMeNmyYbEZBdc2tA4B+/frhwIEDLe6nd+/e+Prrr/VtHlGzvn51GAYv2tPsNtLAGKeTJyIiIiIiInIsRq9ZRmQp0jH6l6trNW7Tvo07zi2MR0lmnJlbZz1UdVo0vQbaXsPrytuTILQUECciIiIiIiKyZQyWkV1qKXuMmrqmrJcFwqSvofTvyasPMWBGRERERGSHCtNjDXqcvpML8HyCrB0LFJHd69PJF0d/rtR5e1XmlaOJytqFfqF+LW53pLQC1+saWN+MiIiIiMgGqE/cZWrSUSnaJK8rMnk7iFqDZ7tkFwRB0HoFY+PUaHi7u5q5RdZP08yf0r+ldKn1RkRERERE1k2a0aVLUMuQ59XlvOGYHskMRJbAYZhk8wRBwPiVBYjK2qVxfUsF+qOydpqiWVZPoVDgg+QBOm3r6eZs4tYQEREREZGpSTO6NAW1PF2dERXWTrasX6gfPF2bPx94tplMsaiwds0+/utXhzX73ESWwGAZ2bzrdQ0oOv+HbFmfTr4Wao1tkQYS1Ydg8jUkIiIiIrIvLWV0KRTA5ukxsuGaHyQPkJ03aAqoaSt7U5g+Apunx6C5/AVemCdrxGGYZJc49FJ/HyQPwPW6BjFDb1VSJPq/vtvCrSIiIiIiInNSKBSy+sTqI3UUCgU2T4/B5ZparaN7VLzcXFoc6UNkjRgsI7vEL2TdqE9mIH3dvN1dZetKMuPEwqDSAqGqDrIkM45F/4mIiIiIHIB6QK01VOck0okIiCyNwzCJyCik00X/Xn1Dr6mjiYiIiIiIiKwF00DIIWmaCbKlwpOOQD3TrCXSGXSMOZsOERERERERkaUws4zsSklmHM4tjG8xJVh9JsjbhSc5fFMf0hl0pH9LA2fXlPWyqaS1kWamMRuNmtPQ0IC//e1vCA8Ph6enJ7p27YoFCxbI3meCICAjIwPBwcHw9PREbGwsTp06JXueK1euIDExET4+PvDz80NycjKqq6vNfThERERErSYIguw3tC6/v20NzxfInBgsI4clDYyx8GTLNM16o400cBaVtQsTVhbYZYdNlvH3v/8dK1aswL/+9S/88MMP+Pvf/45FixZh+fLl4jaLFi3CsmXLsHLlShw8eBDe3t6Ii4vDjRs3xG0SExNx4sQJ5OfnY+vWrdi3bx+mTZtmiUMiIiIiMpggCBi/skBWbH/y6kNW9ftbNbKHyFYwWEZEOlHNeiOdRvrrV4eJf98d2EbrYwvP/4HwtO1arwA5wpUwMp79+/fjkUceQXx8PLp06YLx48dj5MiROHToEICb75+lS5ciPT0djzzyCHr37o33338fFy9exJYtWwAAP/zwA3Jzc7Fq1SpER0dj0KBBWL58OTZt2oSLFy9a8OiIiIiI9HO9rgFF5/+QLTtSWoHrddZTJkV9ZI/0PILIGjFYZkFMI9WNqV4nVX0uXYZt0k3qs954ut2u8bbhWcM6P1u4EkbW5b777sOuXbvwv//9DwBw9OhRfPPNNxg9ejQA4OzZsygrK0NsbKz4GF9fX0RHR6OgoAAAUFBQAD8/P0RFRYnbxMbGwsnJCQcPHtS439raWlRVVcluRERERKQb6Uge6XkEkTVihKAVpFPblmTGMeBCDs3Qzq+5K2H8TJEmc+bMQVVVFbp37w5nZ2c0NDTg9ddfR2JiIgCgrKwMABAYGCh7XGBgoLiurKwMAQEBsvUuLi7w9/cXt1GXnZ2N+fPnG/twiIiIiCyiTydfHP25UrzPCc+IbmNmmYVw2NlN0qyx36tvaMwgk742uhaLJ+vE/z8yho8++ggbNmzAxo0bceTIEaxbtw5vvfUW1q1bZ9L9pqWlobKyUrxduHDBpPsjIiIiMqVVSZHi39Y64RlHY5GlMG3DAlTDzqTZNJNXH8Inz91ndV9OliYIAiatOiTej8rahaiwduIXuTS7j8xDNXxVRfW3Lp2X+v+fLoyVwclMUPvxyiuvYM6cOZg4cSIAoFevXjh//jyys7ORlJSEoKAgAEB5eTmCg4PFx5WXl6Nv374AgKCgIFy6dEn2vPX19bhy5Yr4eHXu7u5wd3c3wRERERERmY62i9Wc8IxIO2aWtYKhGU/ahp2Fp2232oi5MSP6+jzX9boGfHehQrZMVSzeWl8rRyWtAdehjQfOLYzH2ewxTWa9kRb7Z7CTDHHt2jU4Ocm7L2dnZzQ2NgIAwsPDERQUhF27btfBq6qqwsGDBxETEwMAiImJQUVFBYqKisRtdu/ejcbGRkRHR5vhKIiIiIhMTz35wBz6dPI16/6ITIHBMh1oCu5oyniasLLAbEPMzJGOao59SF+v68rbs7VwuJ59UJ/1hsgYHnroIbz++uvYtm0bzp07h88++wyLFy/Go48+CuDm+27mzJnIysrC559/juPHj2PKlCkICQnB2LFjAQA9evTAqFGjMHXqVBw6dAjffvstZsyYgYkTJyIkJMSCR0dERERkPJqSD0xBOsGXdHgnka1isMxA2jKeWpqe194zafQNsCWvu53VMXjRHvHv28HH5h8vDbCRddKWzq0pIFqYHiu739raftL3Y01tndZ922MtBHs8JpXly5dj/PjxeP7559GjRw+8/PLL+POf/4wFCxaI27z66qt44YUXMG3aNPTv3x/V1dXIzc2Fh4eHuM2GDRvQvXt3jBgxAmPGjMGgQYPw7rvvWuKQiIiIiMxCn1nr9SGd4EuX4ZzSUSksj0LWiMGyFqifrJsj40nb8xty8tuaE+bWZn1py8iTtuOYZPYVdboEH6UBNrItUVm7kLCiQOt6QQDGryxAVNbtoXSTVx8y+PMnDcyaOxPUEPYc7Gqttm3bYunSpTh//jyuX7+OM2fOICsrC25ubuI2CoUCmZmZKCsrw40bN7Bz507cfffdsufx9/fHxo0bcfXqVVRWVuK9995DmzZtzH04RERkhVasWIHevXvDx8cHPj4+iImJwZdffimuv3HjBlJSUtC+fXu0adMGCQkJKC8vlz1HaWkp4uPj4eXlhYCAALzyyiuor2efTpbVvo27TkGq1gSzjBEIi8jI4+9gsigGy5qhKsQvPVnXJeNJ20mueqBIG10CAqaeIVJ9mKnmrC/99qnp9ZTSdJUjKmun7L56/Sv1dZzq2PqoOktN9ct+LLuq9XHaavu1FECVkr5H1QOzugRjpbR9rq0xqMXZdomIiFqnU6dOWLhwIYqKilBYWIgHHngAjzzyCE6cOAEAmDVrFr744gts3rwZe/fuxcWLFzFu3Djx8Q0NDYiPj4dSqcT+/fuxbt06rF27FhkZGZY6JLIj1vL7k9lhZM8YLGuGppN1oPmT7IiMvCZfWKovs/C07U0CRSfmxyEqrJ1smbaAgPSEN1GHemnqJ8w1tXWtKqwvpek1aOkEXdvrqSJN3dWkJDMOnzx3HwrTR4jLpAG2D5IHcAYXK6Zev6x7UFvZemMHO3UtZtrc+1bfHyLG+uGi3qbL1bU6P6+moPST/z5oFT+oiIiIbMVDDz2EMWPG4K677sLdd9+N119/HW3atMGBAwdQWVmJ1atXY/HixXjggQcQGRmJNWvWYP/+/Thw4AAAYMeOHSgpKcH69evRt29fjB49GgsWLEBOTg6USqWFj46IiFqid7Bs3759eOihhxASEgKFQoEtW7bI1guCgIyMDAQHB8PT0xOxsbE4deqUbJsrV64gMTERPj4+8PPzQ3JyMqqrq2XbHDt2DIMHD4aHhwc6d+6MRYsW6X90raBPbTH1Oku66hfqBy83Z2yeHiMLAGmifuL/v3L56yWdYVC1vfoJ87OSYWj6am5su7ZgoDSgpy2zRd8x8wqFQnbVQt+x8WRZ0v+jT56Tv+9vBjtvb6ueVagvXYqZGjrU05RX8zR9dqWZnS3tW1NQ+mgzw52JiIioeQ0NDdi0aRNqamoQExODoqIi1NXVITb29jlA9+7dERoaioKCmyUmCgoK0KtXLwQGBorbxMXFoaqqSsxOIyL9SEsDceQEmZrewbKamhr06dMHOTk5GtcvWrQIy5Ytw8qVK3Hw4EF4e3sjLi4ON27cELdJTEzEiRMnkJ+fj61bt2Lfvn2YNm2auL6qqgojR45EWFgYioqK8Oabb2LevHk2U3hZPTNF28m0KhNKPQAENB2jre8sJi2dMOv75dJS1pcm0oDezQBE022kY+Y7tPHAuYXxKMmM03tfZHvU3/fGCnaqgknqwW5NgVl9hnpKO2dtHbUxJpxoKQOztfjDgoiISDfHjx9HmzZt4O7ujunTp+Ozzz5DREQEysrK4ObmBj8/P9n2gYGBKCsrAwCUlZXJAmWq9ap1mtTW1qKqqkp2I6LbpBeQW1PLmEgXeg8sHj16NEaPHq1xnSAIWLp0KdLT0/HII48AAN5//30EBgZiy5YtmDhxIn744Qfk5ubi8OHDiIqKAnBzZrMxY8bgrbfeQkhICDZs2AClUon33nsPbm5u6NmzJ4qLi7F48WJZUM1UdK0tpo36EEltdAkOaMtw+/rVYRqL219T1us0lG3y6kP45Ln7oFAoZPsoTB/RbJvV6fpaHSmtQM+5umXqebo6o1+oH46UVojLosLaaTwu1Th5sm+F6bGtzjRTBWZ1zRpVf29LP2/Sv7XN6Kr6LBo741EakLtcXYuIRTePpSQzTqdaEdLPPhEREWnXrVs3FBcXo7KyEh9//DGSkpKwd+9ek+0vOzsb8+fPN9nzE9kT1QVu1kojUzFqzbKzZ8+irKxMlpLs6+uL6OhoWUqyn5+fGCgDgNjYWDg5OeHgwYPiNkOGDJHNbBYXF4eTJ0/ijz9Ml3EBtFyEXhfqQySl+nTy1bjcy81Fr4wqbZleukxAANz8cglP267zMDJVUEraRk1D2KSaG2JZkhmntRCkem2rwvQR2Dw9Rjy5ZyFJ26X+f9ea/8vmJtJorYiMPI01BjXRNqOrqWbc1Ba005W+kyQQERE5Kjc3N9x5552IjIxEdnY2+vTpg3/+858ICgqCUqlERUWFbPvy8nIEBQUBAIKCgprMjqm6r9pGXVpaGiorK8XbhQsXjH9QRESkE6MGy1QpxZpSjqUpyQEBAbL1Li4u8Pf3t4q0ZU1DoPqF+uFs9hitwSxVJpQmhekjZHWZViVF6tceLcO6mpthUNsEBNqCV9qGl6loy1jpOTevyWslDQYaMnRTRZr14uXmwiwYEjU3jbSuRf0NcXdgG7230XfGTW20Bdl1pW9tQCIiImqqsbERtbW1iIyMhKurK3btun1R7eTJkygtLUVMTAwAICYmBsePH8elS5fEbfLz8+Hj44OIiAiNz+/u7g4fHx/ZjcieMOmBbIndzIaZnZ0NX19f8da5c2ejPXdLsywqFJBlQklPTFXZMyre7q56fUG0lDminoXVHG3Bq9ZmqkhtnBrNL0AymKerc5PZYbXNkqleG1AQBI21/aLC2uFs9pgW348tTdSx4dnbnzNtwSvpNirNzZDbZc42/F59Q/a3piGi0iC7tsCX6jWQUmVwtm/jrvW4iIiIqKm0tDTs27cP586dw/Hjx5GWloY9e/YgMTERvr6+SE5ORmpqKr766isUFRXh6aefRkxMDAYOHAgAGDlyJCIiIjB58mQcPXoUeXl5SE9PR0pKCtzd2S+T6Rg6+RwRyRk1WKZKKdaUcixNSZZeYQGA+vp6XLlyxWrTlnXJapJuY2hGlaZAgSbqmV6a2iet79TckMeWaKsVpo16RhiL9ZM+FApFk9lh1WfJVFGvDahp+LH6EN7Wtk1FW/DK2BmQqs+ut7uruKy1Q7CJiIioZZcuXcKUKVPQrVs3jBgxAocPH0ZeXh7+9Kc/AQCWLFmCBx98EAkJCRgyZAiCgoLw6aefio93dnbG1q1b4ezsjJiYGEyaNAlTpkxBZmampQ6JyCYZYwItIkMYNfUnPDwcQUFB2LVrF/r27Qvg5syWBw8exHPPPQfgZkpyRUUFioqKEBl584Rz9+7daGxsRHR0tLjNX//6V9TV1cHV9eZJYn5+Prp164Z27TQHk9zd3a3mKo160XldJwtQBQou19SKtZLuDmwjq4Gmb/BKX9KJAwrTR6C9t3urAgCqAGChZLimtkwhKRbud1y6zpKpXhtQ05DHlobwSoPKmt6rfTr5irPISt+T0s+0auIA9eWG0PfHgLR9gPGGfRIRETm61atXN7vew8MDOTk5yMnJ0bpNWFgYtm/fbuymERmNLZxztXbkE5Gh9A6WVVdX4/Tp0+L9s2fPori4GP7+/ggNDcXMmTORlZWFu+66C+Hh4fjb3/6GkJAQjB07FgDQo0cPjBo1ClOnTsXKlStRV1eHGTNmYOLEiQgJCQEAPPnkk5g/fz6Sk5Mxe/ZsfP/99/jnP/+JJUuWGOeoddTc7HLqM/M190Wjz5eQeqBgw7MD0P/13QC0B69Uz9/SLH9ebi44mz0GE1YWaA0ISLNWNAUatM1UqS17R1MAsKVhrUTqNAWyjE2hQJP36sap0bKsrpZo+yxKZ8ZUn2VTGiDT9mNAW6BuVVKk+P3QUrtKMuN0mgWUiIiIiMgaqV8oJjIlvYNlhYWFGD58uHg/NTUVAJCUlIS1a9fi1VdfRU1NDaZNm4aKigoMGjQIubm58PDwEB+zYcMGzJgxAyNGjICTkxMSEhKwbNkycb2vry927NiBlJQUREZGokOHDsjIyMC0adNac6w2ydiF7jUFr3Q94VY9/oPkAeg5dwcA3bLPdM0UIlLRFGBWf99KsyA1aS7YrY2u71V9r8JFZe1qEmRW0XYM2jIwtQXOiIiIiIjsmT7nrUStpXewbNiwYU2KSEspFApkZmY2Ox7f398fGzdubHY/vXv3xtdff61v8+yCoSfDug55VA8IqCYdUGkpCMCZKskS1N+3mmp3qWd8WoqmDExNgTJ10mHXhmZgWstrQERERESOwxxDOnneSeZkN7Nh2it9ptfVXhzd8l8qnCaYjE31nrLGSST0maVWOkGAdDZNXT631vwaEBEREZHxqZf0aC6RRZ0hIy+IHBU/KXrQVq/LlAX39WWqYWTGeiyRpbWUgWms97euQWpphpw1BLaJiIiIyPKkNXBVQS5BEDB+ZQGKJL9jJ68+hA+Soy3VTCK7xcwyPahnixSmj9Ba2J6IjM8YGYqWyMDsF+onu9+nk6/J9kVERERE9ul6XYMsUAbcLPVhL7Ohqy5qS/F3M1kKM8v0ZAv1upj5RY7EkIxPc0w6If0cCoLQ7Cyb+tQM1MQWsl6JiIiIiJrT2snoiIyJmWVEZNNsIePT1ME5W3gNiIiIiIha0trfzdeU9egyZxu6zNmG36tviH9zFnnSFzPL9MSsLSLrY0jGp719lm0h65WIiIiIDCOtYUZEpsdgGRGRGdhbcI6IiIiIiMhecRgmEREREREREVk1LzcXlGTGWboZ5CCYWUZENo9ZW3wNiIiIiIiIjIWZZURERERERERkt6SF/1nsn3TBYBkRERERERER2ZSIjDwGv8hkOAyTiIiIiIiIyM5w9kwiwzGzjIiIiIiIiIiI6BYGy4iIyOb88ssvmDRpEtq3bw9PT0/06tULhYWF4npBEJCRkYHg4GB4enoiNjYWp06dkj3HlStXkJiYCB8fH/j5+SE5ORnV1dXmPhQiIiIi0kI1idW5hfHwcuPAODIfBsuIiMim/PHHH7j//vvh6uqKL7/8EiUlJfjHP/6Bdu3aidssWrQIy5Ytw8qVK3Hw4EF4e3sjLi4ON27cELdJTEzEiRMnkJ+fj61bt2Lfvn2YNm2aJQ6JiIiISEYQBPHva8p62X0iMj2GZomIyKb8/e9/R+fOnbFmzRpxWXh4uPi3IAhYunQp0tPT8cgjjwAA3n//fQQGBmLLli2YOHEifvjhB+Tm5uLw4cOIiooCACxfvhxjxozBW2+9hZCQEPMeFBEREdEtgiBg0qpD4v2orF3oF+pnuQYROSBmlhERkU35/PPPERUVhQkTJiAgIAD33nsv/v3vf4vrz549i7KyMsTGxorLfH19ER0djYKCAgBAQUEB/Pz8xEAZAMTGxsLJyQkHDx4038EQERERqble14DvLlTIlh0prdC4LRGZBjPLiIjIpvz0009YsWIFUlNT8dprr+Hw4cN48cUX4ebmhqSkJJSVlQEAAgMDZY8LDAwU15WVlSEgIEC23sXFBf7+/uI26mpra1FbWyver6qqMuZhERERkYO7pqznDJZGJB26el3ZYMGWkC1isIyIiGxKY2MjoqKi8MYbbwAA7r33Xnz//fdYuXIlkpKSTLbf7OxszJ8/32TPT0RERKSrwvRYRGXttHQzTEJV1N8Q0gBZomQo6+BFe1rbLHIwHIZJREQ2JTg4GBEREbJlPXr0QGlpKQAgKCgIAFBeXi7bpry8XFwXFBSES5cuydbX19fjypUr4jbq0tLSUFlZKd4uXLhglOMhIiLrkp2djf79+6Nt27YICAjA2LFjcfLkSdk2N27cQEpKCtq3b482bdogISGhSb9TWlqK+Ph4eHl5ISAgAK+88grq6+vNeShEDkW91tv/yjnLORmOwTIiIrIp999/f5OTlv/9738ICwsDcLPYf1BQEHbt2iWur6qqwsGDBxETEwMAiImJQUVFBYqKisRtdu/ejcbGRkRHR2vcr7u7O3x8fGQ3IiKyP3v37kVKSgoOHDiA/Px81NXVYeTIkaipqRG3mTVrFr744gts3rwZe/fuxcWLFzFu3DhxfUNDA+Lj46FUKrF//36sW7cOa9euRUZGhiUOiWycenH/fqF+8HR1tkxjrJimWm9EhuIwTCIisimzZs3CfffdhzfeeAOPPfYYDh06hHfffRfvvvsuAEChUGDmzJnIysrCXXfdhfDwcPztb39DSEgIxo4dC+BmJtqoUaMwdepUrFy5EnV1dZgxYwYmTpzImTCJiBxcbm6u7P7atWsREBCAoqIiDBkyBJWVlVi9ejU2btyIBx54AACwZs0a9OjRAwcOHMDAgQOxY8cOlJSUYOfOnQgMDETfvn2xYMECzJ49G/PmzYObm5slDo1s1AfJA3C9rgFRWbvE+wqFhRtlA75+dRiHX5LBmFlGREQ2pX///vjss8/wn//8B/fccw8WLFiApUuXIjExUdzm1VdfxQsvvIBp06ahf//+qK6uRm5uLjw8PMRtNmzYgO7du2PEiBEYM2YMBg0aJAbciIiIVCorKwEA/v7+AICioiLU1dXJZl3u3r07QkNDZbMu9+rVSzbZTFxcHKqqqnDixAkztp7sgUKhgJebi+w+tczTjdl3ZDhmlhERkc158MEH8eCDD2pdr1AokJmZiczMTK3b+Pv7Y+PGjaZoHhER2YnGxkbMnDkT999/P+655x4AN2dUdnNzg5+fn2xb9VmXNc3KrFqnCWddJjKPa8p6eLo6M+hIzTJ6ZlmXLl2gUCia3FJSUgAAw4YNa7Ju+vTpsudgMUwiIiIiIrK0lJQUfP/999i0aZPJ95WdnQ1fX1/x1rlzZ5Pvk8geSGfA1EVU1i6Ep21HlznbcE3JOANpZvRg2eHDh/Hrr7+Kt/z8fADAhAkTxG2mTp0q22bRokXiOhbDJCIiIiIiS5sxYwa2bt2Kr776Cp06dRKXBwUFQalUoqKiQra9+qzLmmZlVq3ThLMuExlm8upDLQbM+nTyNVNryF4YPVjWsWNHBAUFibetW7eia9euGDp0qLiNl5eXbBvpjGKqYpjr169H3759MXr0aCxYsAA5OTlQKpXGbi4REREREZFIEATMmDEDn332GXbv3o3w8HDZ+sjISLi6uspmXT558iRKS0tlsy4fP34cly5dErfJz8+Hj48PIiIiNO6Xsy6TMXi6OiMqrF2T5VFh7exiBk1Nx3ektALX6xqafdyqpEhTNovskEkL/CuVSqxfvx7PPPOMbDzwhg0b0KFDB9xzzz1IS0vDtWvXxHWGFsOsra1FVVWV7EZERERERKSPlJQUrF+/Hhs3bkTbtm1RVlaGsrIyXL9+HQDg6+uL5ORkpKam4quvvkJRURGefvppxMTEYODAgQCAkSNHIiIiApMnT8bRo0eRl5eH9PR0pKSkwN3d3ZKHR3ZOoQA2T49BYfoIcVlh+ghsnh5jFzW6FApFk+PT9XGmdk1Zjy5ztnF4p50waYH/LVu2oKKiAk899ZS47Mknn0RYWBhCQkJw7NgxzJ49GydPnsSnn34KwLBimMDNMf7z5883/kEQEREREZHDWLFiBYCbtZal1qxZI57XLFmyBE5OTkhISEBtbS3i4uLw9ttvi9s6Oztj69ateO655xATEwNvb28kJSU1O/EMkbGoz57p5eZiF4EyFfXjA4CIjDwLtYbslUmDZatXr8bo0aMREhIiLps2bZr4d69evRAcHIwRI0bgzJkz6Nq1q8H7SktLQ2pqqni/qqqKRTGJiIiIiEgvuhQL9/DwQE5ODnJycrRuExYWhu3btxuzaUREZCYmC5adP38eO3fuFDPGtImOjgYAnD59Gl27dkVQUBAOHTok26alYpjAzTH+TGkmIiIiIiIiW6TvrI5EZDomq1m2Zs0aBAQEID4+vtntiouLAQDBwcEADCuGSURERERERGSrBEHApFWHmiwvyYxrMuSQiEzPJJ+6xsZGrFmzBklJSXBxub2LM2fOYOPGjRgzZgzat2+PY8eOYdasWRgyZAh69+4NQF4Mc9GiRSgrK2MxTCIiIiIiIrJb1+sa8N2FCtkye5nBksgWmSRYtnPnTpSWluKZZ56RLXdzc8POnTuxdOlS1NTUoHPnzkhISEB6erq4DYthEhERERERkSMrTB+B9t7udlWYn8iWmCRYNnLkSI3jrTt37oy9e/e2+HgWwyQiIiIiIiJHZW8zWBLZGg5+JiIiIiIiIiK7oar1dm7hzRrq15T1Fm4R2RoGy4iIiIiIiIismDTwAzD4Q2RqJpsNk4iIiIiIiIjIWl1T1mssIUXEYBkREREREREROZyorF2YsLJAY8DsmrIeXeZsQ5c525jJ54AYLCMiIiIiIiIih9Cnk6/sfuH5P3C9rsFCrSFrxZplRERERERERGS3pDXfamrr0HPuDqPvQ5qddk1ZD09XZ85oasOYWUZERERERERENsPLzQUlmXEGPba5AJahQy8FQcCkVYfE+80N7yTbwMwyIiIiIiIiIjuiPnsmmdb1ugZ8d6FCtkw1vNPLjWEXW8TMMiIiIiIiIiIiolsYLCMiIiIiIiIim+Lp6oyosHZNlkeFtYOnq7MFWkT2hPmARERERERERGRTFAoFNk+PweWaWkRl7QIAFKaPQHtvdxbWp1ZjZhkRERERERG1mqHF0YkMpVAoZDXBvNxcGCgjo2CwjIiIiIiIiIhIBwwKOwYGy4iIiIiIiIisRElmHGdQJLIwBsuIiIiIiIiIiIhuYbCMiIiIiIiIiMjIIjLyOFTTRjFYRkRENm3hwoVQKBSYOXOmuOzGjRtISUlB+/bt0aZNGyQkJKC8vFz2uNLSUsTHx8PLywsBAQF45ZVXUF/PHzNERERkfKxzZd0iMvL4f0MyDJYREZHNOnz4MN555x307t1btnzWrFn44osvsHnzZuzduxcXL17EuHHjxPUNDQ2Ij4+HUqnE/v37sW7dOqxduxYZGRnmPgQiIiKbZe4AEANOZE7XlQ3i34IgWLAlZAkMlhERkU2qrq5GYmIi/v3vf6Ndu3bi8srKSqxevRqLFy/GAw88gMjISKxZswb79+/HgQMHAAA7duxASUkJ1q9fj759+2L06NFYsGABcnJyoFQqLXVIRERkJfbt24eHHnoIISEhUCgU2LJli2y9IAjIyMhAcHAwPD09ERsbi1OnTsm2uXLlChITE+Hj4wM/Pz8kJyejurrajEdBtkAVAIzIyDP4OaKydhqxRaQyeNEe8e/Jqw8xYOZgGCwjIiKblJKSgvj4eMTGxsqWFxUVoa6uTra8e/fuCA0NRUFBAQCgoKAAvXr1QmBgoLhNXFwcqqqqcOLECfMcABERWa2amhr06dMHOTk5GtcvWrQIy5Ytw8qVK3Hw4EF4e3sjLi4ON27cELdJTEzEiRMnkJ+fj61bt2Lfvn2YNm2auQ6BjICZbI5Hmk0mdaS0AtfrNK8j+8T5aImIyOZs2rQJR44cweHDh5usKysrg5ubG/z8/GTLAwMDUVZWJm4jDZSp1qvWaVJbW4va2lrxflVVVWsOgYiIrNjo0aMxevRojesEQcDSpUuRnp6ORx55BADw/vvvIzAwEFu2bMHEiRPxww8/IDc3F4cPH0ZUVBQAYPny5RgzZgzeeusthISEmO1YVK4p68XspZLMOHi5Wf5U0BrbZEzS4ytMH2Hh1pCKl5sLzi2Ml/3/qEizycixMbOMiIhsyoULF/DSSy9hw4YN8PDwMNt+s7Oz4evrK946d+5stn0TEZH1OHv2LMrKymQZzL6+voiOjpZlMPv5+YmBMgCIjY2Fk5MTDh48qPF5a2trUVVVJbsRkeX06eRr6SaQBTFYRkRENqWoqAiXLl1Cv3794OLiAhcXF+zduxfLli2Di4sLAgMDoVQqUVFRIXtceXk5goKCAABBQUFNZsdU3Vdtoy4tLQ2VlZXi7cKFC8Y/OCIisnqqDGRNGcrSDOaAgADZehcXF/j7+2vNYOZFGSLrsiop0qDHFabHtrwRWT2jB8vmzZsHhUIhu3Xv3l1cf+PGDaSkpKB9+/Zo06YNEhISmpywlJaWIj4+Hl5eXggICMArr7yC+nqOESciImDEiBE4fvw4iouLxVtUVBQSExPFv11dXbFr1y7xMSdPnkRpaSliYmIAADExMTh+/DguXbokbpOfnw8fHx9ERERo3K+7uzt8fHxkNyIiImOx9YsygiDI6nqxGDrZOoVCYekmkAWZZFB4z549sXPn7Rk5XFxu72bWrFnYtm0bNm/eDF9fX8yYMQPjxo3Dt99+CwBoaGhAfHw8goKCsH//fvz666+YMmUKXF1d8cYbb5iiuUREZEPatm2Le+65R7bM29sb7du3F5cnJycjNTUV/v7+8PHxwQsvvICYmBgMHDgQADBy5EhERERg8uTJWLRoEcrKypCeno6UlBS4u7ub/ZiIiMh2qDKQy8vLERwcLC4vLy9H3759xW2kF2QAoL6+HleuXNGawezu7m7TfdCkVYfw3YUK8f7k1YfwyXP3MeBAJqeqQUa2Q5d6hZauaWiSYZguLi4ICgoSbx06dAAAVFZWYvXq1Vi8eDEeeOABREZGYs2aNdi/fz8OHDgAANixYwdKSkqwfv169O3bF6NHj8aCBQuQk5MDpVJpiuYSEZGdWbJkCR588EEkJCRgyJAhCAoKwqeffiqud3Z2xtatW+Hs7IyYmBhMmjQJU6ZMQWZmpgVbTUREtiA8PBxBQUGyDOaqqiocPHhQlsFcUVGBoqIicZvdu3ejsbER0dHRZm+zrloz+6M0UAZYz+yB2o5J3+Wt3R/ZB/UMymvKemZR2imThOZOnTqFkJAQeHh4ICYmBtnZ2QgNDUVRURHq6upkxTC7d++O0NBQFBQUYODAgSgoKECvXr1kNQDi4uLw3HPP4cSJE7j33ntN0WQiIrJhe/bskd338PBATk4OcnJytD4mLCwM27dvN3HLiIjIFlVXV+P06dPi/bNnz6K4uBj+/v4IDQ3FzJkzkZWVhbvuugvh4eH429/+hpCQEIwdOxYA0KNHD4waNQpTp07FypUrUVdXhxkzZmDixIkWmQmzOZyxka8B6UYQgPErC1B0/g9xWVTWLkSFtcO6ZwaYpQ2WzrZyJEZ/ZaOjo7F27Vp069YNv/76K+bPn4/Bgwfj+++/R1lZGdzc3ODn5yd7jHoxTE3FMlXrtKmtrUVtba14n7PHEBERERGRIQoLCzF8+HDxfmpqKgAgKSkJa9euxauvvoqamhpMmzYNFRUVGDRoEHJzc2WzNG/YsAEzZszAiBEj4OTkhISEBCxbtszsx0JExnG9rkEWKFMpPP+HVWRRknEZPVg2evRo8e/evXsjOjoaYWFh+Oijj+Dp6Wns3Ymys7Mxf/58kz0/ERERERE5hmHDhjU7tEqhUCAzM7PZ4fv+/v7YuHGjKZpn05jFRY7mmrIenq7OrN9nY0xSs0zKz88Pd999N06fPo2goCAolUpUVFTItikvLxcLXQYFBTWZHVN1X1sxTMD2Z48hIiIiIiIi+3RdeTvziHWu7E9U1s5m1u3ChJUFJv0/Z6084zN5sKy6uhpnzpxBcHAwIiMj4erqKiuGefLkSZSWlsqKYR4/flw2e0x+fj58fHwQERGhdT/u7u7w8fGR3YiIiIiIiMg0zB3wke7P1gJOgxftEf+OytqF8LTtDGzYKU9XZ/QL9ZMt41BN22P0YNnLL7+MvXv34ty5c9i/fz8effRRODs744knnoCvry+Sk5ORmpqKr776CkVFRXj66acRExODgQMHAgBGjhyJiIgITJ48GUePHkVeXh7S09ORkpJi01MpExERERER2QtBEDBp1SGL7c8c2TrmYOvtp6YUCuCD5NYV/HekTDFrPVaj1yz7+eef8cQTT+Dy5cvo2LEjBg0ahAMHDqBjx44AgCVLlogFLmtraxEXF4e3335bfLyzszO2bt2K5557DjExMfD29kZSUlKz9QCIiIiIiIjI9KQ1x9T1C/XDkdIKk+z3el0Dvrsgf25Vto6uMwLqWy9NPZPNFHWnktcVGfX5SHeers6ICmuHQknR/j6dfHH050qN2zc31FKdMd8nrPNnGUYPlm3atKnZ9R4eHsjJyUFOTo7WbcLCwrB9+3ZjN42IiIiIiMjhCIIgy9gwRTZTYfoIeLo6o+fcHTo/RlrHyxozrKSBrKisXYgKa4fN02OaBEK0BTOkx6fNMbXATFRYO3i6Orem2aQjhUKBzdNjcLmmFlFZN0tFrUqKRP/Xd5tkfxEZeSjJjNM5uGtO0vewtbbR3Exes4yIiIiIiIgsQxAEjF9ZIAYDAGDy6kMtBqf0HRrl5eaidzaNtI6XLm0yN/VAlr51p6THp4vC9BEag3GaqLKipPqF+jHQpieFQiELDElfey83F5RkxlmiWUZlrcMcrR2DZURERERERHbqel0DiiTDzADgSGmF1RUbP1JaYddF7/t08m1xG30CjqqsKGkm2wfJA4w+TJTIUTFYRkREREREZIeaqy9mz6wxk2ZVUqTRn7O5rCgyjJebC84tjMe5hfEcimgi5hgWbgz83yciIiIiIiJZjS3p3yww3noMZBHdHhYuzXZ9VsskF+aYYKM5DJYRERERERGRrMaWvvW2rJW2SQS0BQZbm+WiS1F/IkehPnEAgCbDwjXNPioIAiatOiTel9ZcNNcEBByGSURERERERHZJGvSTZrBoCwwmSk7QW7s/IjLM9boGfHehwqJtYLCMiIiIiIjIAanXDmota589UFMGi7r/lVcbbX+6FPUn0of60ERrrfdlDxgsIyIiIiIicjCCAIxfWSAb3mT6fRo3OGcsdwe20bj861eHaX2MLpMImKKoPzm2ZEl2ZFTWLkxYWWAzATNbm3CEwTIiIiIiIiIHc72uoUntIFNmQqkKe+sbnFMFpUx5kr3h2QHi39IAmaebc6uel0X97VdJZpxFsiiPqWVHFp7/A9frGoyacWaNs8laAoNlREREREREZNJMKHMH5/QhDWq1NkBGZG6CgCbF8G0p48xaMVhGREREREREZs+E4jBFsmWers7oF+onWxYV1g6ers7wcnPBuYXxBmWfqQ9XbinopakYvirjzFS0ZZ+1NivNmgJ8DJYRERERERGRTox5MuuowxStJaOOWkehUOCD5NtDeAvTR2Dz9JhWva81DVdu7QytUpqCWfoG50xp8upDVhMwc7F0A4iIiIiIiMh6XVfezlCRFhi3JtLi4YXpI8y6b+nro40q0wgAamrr0HPuDgA3a6QNXrTHlM0jE5IGxrzcXFoMlF1T1sPT1VnrdpqGKxtzhlZ1quCcdJ/PWvAzfqS0wqQZcfpgZhkRERERERFpJQ3mqBcYjwprh7PZY+DlZrw8jMvVtc0O5SpMj231PoyZ3aVvsIs10qyLKpB5bmG8Ud/Hmpi7nlhLWWOagnNH1T7jptbcrLOWxGAZERERERERyegSTDLGsDNNTJVpJT0p16Vemqa6UxEZec3WYtI3CGfOQA3pz9PVGVFh7WTL+oX6wdNVtyCnprpm+tYTk75v9QksCQKaDOmUZo1JszEtyVoDxgyWERERERER2Rn1jBJAv4wsXYNJzQXKIjLymi307eXmgrPZY5oEI1pL27BI6Um5qeqlSV83cwTCGGwzLYVCgc3TY2RDez9IHqDz+0e9rpkhpO9bfQJL1pA1Zsv4aSIiIiIiIrIjmuoQ6ctcxfdVwYjLNbWyDJjWsGQNMEedtMCeKRQKWSBS3/9jvieMq6W6b8bCzDIiIiIiIiITycnJQZcuXeDh4YHo6GgcOmS8me200ZRRos/QMXNTD0YYE2eeJHsXlbXTLPvRNJNmc0w1y6a56r4xWEZERERERGQCH374IVJTUzF37lwcOXIEffr0QVxcHC5dumT2ttwcOmbYY6054NRSDTFdhpMSkfFNWnVIa700fal/B+lb980QDJYRERERERGZwOLFizF16lQ8/fTTiIiIwMqVK+Hl5YX33nvP7G1pzZAlacDJWmeu04ZD4Igs47sLFbL76vXSSjLjdK61Z4mgN4NlRERkU7Kzs9G/f3+0bdsWAQEBGDt2LE6ePCnb5saNG0hJSUH79u3Rpk0bJCQkoLy8XLZNaWkp4uPj4eXlhYCAALzyyiuor285pZyIiEgXSqUSRUVFiI29XVTfyckJsbGxKCgoaLJ9bW0tqqqqZDdz01YsXhpwstaZ6/TVmsL4miZPICLTKMmMg7e7q9n3ywL/RERkU/bu3YuUlBT0798f9fX1eO211zBy5EiUlJTA29sbADBr1ixs27YNmzdvhq+vL2bMmIFx48bh22+/BQA0NDQgPj4eQUFB2L9/P3799VdMmTIFrq6ueOONNyx5eEREZCd+//13NDQ0IDAwULY8MDAQP/74Y5Pts7OzMX/+fHM1z2a0ti6RKigGQKcAl3R7bSatOtQka0afxxPZCnMV07dGDJYREZFNyc3Nld1fu3YtAgICUFRUhCFDhqCyshKrV6/Gxo0b8cADDwAA1qxZgx49euDAgQMYOHAgduzYgZKSEuzcuROBgYHo27cvFixYgNmzZ2PevHlwc3OzxKEREZEDS0tLQ2pqqni/qqoKnTt3Nui5PF2dUZIZh2vKeqPNMGkpya2oc6QrfQNc6oGyPp18mwwxI7IHUVm7EBXWDpunx+i0va7B7dZMOFKYPgJebi4mn7CEwzCJiMimVVbe/HHq7+8PACgqKkJdXZ1s2Ev37t0RGhoqDnspKChAr169ZFf74+LiUFVVhRMnTpix9UREZK86dOgAZ2fnJmUAysvLERQU1GR7d3d3+Pj4yG6GUs0uqevwQn1qBxmDPvs7phaEigprZ3WzenISATIXVWC3JDPObPssPP8HwtO2a53Z8pqyHoIgQBAETFqlfbZfab3DmxOOGJatpvpuM3W2m9GDZbrUkhk2bBgUCoXsNn36dNk2rCVDREQtaWxsxMyZM3H//ffjnnvuAQCUlZXBzc0Nfn5+sm0DAwNRVlYmbqNpWIxqnSbWUEuGiIhsh5ubGyIjI7Fr1+3MrsbGRuzatQsxMbplaZBcYfoIbJ4e02RWT0vXEHPEIWpk+7RlgekyiYc04zMqaxcmrCzANWVDk6zLfqF+4t/Seoe28Jkx+qUDXWrJAMDUqVORmZkp3vfy8hL/Zi0ZIiLSRUpKCr7//nt88803Jt8Xa8kQEZG+UlNTkZSUhKioKAwYMABLly5FTU0Nnn76aUs3zSZpyyZproYYkSlZW426wvRYRGXt1GnbZ7UMcdZlEg/1jM/C83/gel2DWltGwNPVGT3n7tCpPdbG6MGylmrJqHh5eWlMPwbAWjJERNSiGTNmYOvWrdi3bx86deokLg8KCoJSqURFRYUsu0w67CUoKAiHDsnTxFXDZLT1TcasJUNERI7h8ccfx2+//YaMjAyUlZWhb9++yM3NbZLdTK1jazXErC3AQpZzTVmPiIw8AGgytLIkMw5ebi4my5o09mdEPUin67BuLzcXlGTGia+D6l9LM3nNMvVaMiobNmxAhw4dcM899yAtLQ3Xrl0T1xlSS4bDY4iIHIMgCJgxYwY+++wz7N69G+Hh4bL1kZGRcHV1lQ17OXnyJEpLS8VhLzExMTh+/DguXbokbpOfnw8fHx9ERERo3K8xa8kQEZHjmDFjBs6fP4/a2locPHgQ0dHRlm6S1evTybdVj2cNMSLNdBliSTeZtIKjployAPDkk08iLCwMISEhOHbsGGbPno2TJ0/i008/BWBYLRkOjyEicgwpKSnYuHEj/vvf/6Jt27Ziv+Dr6wtPT0/4+voiOTkZqamp8Pf3h4+PD1544QXExMRg4MCBAICRI0ciIiICkydPxqJFi1BWVob09HSkpKTA3d3dkodHRERk1QzJihIEQa8aRauSItH/9d0Abp7cD160R6/9GbsekqerM/qF+uFIaYW4TP0+kakYMxOxuSGWps5kszUmDZZpqyUzbdo08e9evXohODgYI0aMwJkzZ9C1a1eD9sXhMUREjmHFihUAbk4WI7VmzRo89dRTAIAlS5bAyckJCQkJqK2tRVxcHN5++21xW2dnZ2zduhXPPfccYmJi4O3tjaSkJFktTSIiIkcmPUFv7cnz5NWH8EGy7hl10mCXLvWTdGVo0EGhUOCD5AFi7SVbr8VE+rPFobO61i4DbgZ/W5plVtuEAPbKZMEybbVkNFGlIp8+fRpdu3Y1qJaMu7s7swGIiByALh21h4cHcnJykJOTo3WbsLAwbN++3ZhNIyIicniers6ICmuHwvN/iMuOlFag59zm6xAZMzhnCtIAnnotJlsMpJD5qN4f0vpkqn8L00eYpQ2assakWZsfJA9oMSMzWcuEAPbK6DXLWqolo0lxcTEAIDg4GIBhtWSIiIiIiIjIshQKBTZPjzFbEEATVXDi3MJ4nYuME9kS1dBgqaiwdi1mh8meQ5K1qcvQZfUZMO2d0b85Wqolc+bMGWzcuBFjxoxB+/btcezYMcyaNQtDhgxB7969AbCWDBERERERUWupZzxJs0r0GaKlL4VCwSAVkQlpGhrc3tsd1+sazLJ/Q2oJ2hqjf4O1VEvGzc0NO3fuxNKlS1FTU4POnTsjISEB6enp4rasJUNERERERGQdrG2YIQvuEzUdGmzsiS2aY8xagrqwxHeQ0YNlLdWS6dy5M/bu3dvi87CWDBEREREREaljwX2yR9eU9YjK2mXpZhiVtdcibA5zY4mIiIiIiMimNFdwn4iotYxe4J+IiIiIiIiIiMhWMQRPREREREREpAdrq+NGZAp9OvniqJFmwbS1zwyDZURERERERGSVbO0Em8jWST9zNbV1Yi1AR5gBU4rDMImIiIiIiIiIzOy6skH8u6XJEi1BWhtQOgOmKqBWkhmn8XElmXE2X0uQwTIiIiIiIiIiIjOTZmo9u67Icg2hJmw71EdEREREREQOj8M1ydYZqzZYc6Sfk2vK+lY/n6erM/qF+uFIaYW4LCqsHTxdnbU/SMvzRIW1Q+H5P2TLDXkuY2GwjIiIiIiIiKwGA19EtkGhUOCD5AFiXbPC9BFo7+0uG76p6/Nsnh6DyzW1iMra1arnMhYGy4iIiIiIiIiawQAekWbSYJaXm4vBwS2FQiGrc9aa5zIGBsuIiIiIiIiIiGycPsMiGQBuHgv8ExERERERkVF5ubngbPYYRIW1ky3vF+pnsRpERJakqssl1aeTr1H3oRoWqVKYPgKbp8cYJUNLFVw7tzDe5me61AWDZURERERERGR0qjpEhekjxGUfJA+w6NAqIkvR9HlYlRRp8PNpC14Za1iko2OwjIiIiIiIyAFoymwxdaaXeh0inriTI+PnwXbYf+4cERERERERaZxxzlYzvVhviewZhytbHjPLiIiIiIiIHAQzW4is09evDhP/ttUgtj1hsIyIiIiIiOiW119/Hffddx+8vLzg5+encZvS0lLEx8fDy8sLAQEBeOWVV1BfXy/bZs+ePejXrx/c3d1x5513Yu3ataZvPBHZLE+325lkDJRZHoNlREREREREtyiVSkyYMAHPPfecxvUNDQ2Ij4+HUqnE/v37sW7dOqxduxYZGRniNmfPnkV8fDyGDx+O4uJizJw5E88++yzy8vLMdRhERNQKrFlGRERERER0y/z58wFAaybYjh07UFJSgp07dyIwMBB9+/bFggULMHv2bMybNw9ubm5YuXIlwsPD8Y9//AMA0KNHD3zzzTdYsmQJ4uLizHUoRESt4si1AZlZRkREREREpKOCggL06tULgYGB4rK4uDhUVVXhxIkT4jaxsbGyx8XFxaGgoEDr89bW1qKqqkp2IyIiy2CwjIiIiIiISEdlZWWyQBkA8X5ZWVmz21RVVeH69esanzc7Oxu+vr7irXPnziZoPRER6YLBMiIiIiIismtz5syBQqFo9vbjjz9atI1paWmorKwUbxcuXLBoe4jI9FTDHM8tjJfNUuuorOn14P8GERERERHZtb/85S946qmnmt3mjjvu0Om5goKCcOjQIdmy8vJycZ3qX9Uy6TY+Pj7w9PTU+Lzu7u5wd3fXqQ1ERNbCXuuaMVhGRERERER2rWPHjujYsaNRnismJgavv/46Ll26hICAAABAfn4+fHx8EBERIW6zfft22ePy8/MRExNjlDYQEZFpWfUwzJycHHTp0gUeHh6Ijo5ucgWHiIiotdjXEBGRVGlpKYqLi1FaWoqGhgYUFxejuLgY1dXVAICRI0ciIiICkydPxtGjR5GXl4f09HSkpKSImWHTp0/HTz/9hFdffRU//vgj3n77bXz00UeYNWuWJQ+NiIh0ZLXBsg8//BCpqamYO3cujhw5gj59+iAuLg6XLl2ydNOIiMhOsK8hIiJ1GRkZuPfeezF37lxUV1fj3nvvxb333ovCwkIAgLOzM7Zu3QpnZ2fExMRg0qRJmDJlCjIzM8XnCA8Px7Zt25Cfn48+ffrgH//4B1atWoW4uDhLHRYROQhrqvtly6z2lVu8eDGmTp2Kp59+GgCwcuVKbNu2De+99x7mzJlj4dYREZE9YF9DRETq1q5di7Vr1za7TVhYWJNhluqGDRuG7777zogts132WtOIyBD8PNgGq8wsUyqVKCoqQmxsrLjMyckJsbGxKCgosGDLiIjIXrCvISIiR8XMEyKi5lnlN+Pvv/+OhoYGBAYGypYHBgZqndK5trYWtbW14v2qqiqTtpGIiGybvn0N+xkiIiIiIsdglZllhsjOzoavr69469y5s6WbREREdoT9DBERERGZCjM+rYtV/g906NABzs7OKC8vly0vLy9HUFCQxsekpaUhNTVVvF9VVWXQiYynqzNKMuPEv4mI7AG/25rSt68xVj8D8P+DiOwTv9uIiMheWGVmmZubGyIjI7Fr1y5xWWNjI3bt2oWYmBiNj3F3d4ePj4/sZgiFQgEvNxd4ublAoVAY9BxERNaG321N6dvXGKufAfj/QUT2id9tRERkL6wyswwAUlNTkZSUhKioKAwYMABLly5FTU2NOGMZERFRa7GvISIiIiIidVYbLHv88cfx22+/ISMjA2VlZejbty9yc3ObFGImIiIyFPsaIiIiIiJSpxAEQbB0I0yhqqoKvr6+qKysbNVQGSIiuonfq3J8PYiIjIvfq3J8PYiIjEuf71WrrFlGRERERERERERkCQyWERERERERERER3cJgGRERERERERER0S1WW+C/tVSl2KqqqizcEiIi+6D6PrXTUpd6Yz9DRGRc7Gfk2M8QERmXPv2M3QbLrl69CgDo3LmzhVtCRGRfrl69Cl9fX0s3w+LYzxARmQb7mZvYzxARmYYu/YzdzobZ2NiIixcvom3btlAoFJZujs6qqqrQuXNnXLhwweFmvXHUY+dx87hthSAIuHr1KkJCQuDkxFH8ttrPALb9PmwNHjeP2xHY8nGzn5FjP2N7eNyOddyA4x67rR63Pv2M3WaWOTk5oVOnTpZuhsF8fHxs6k1nTI567Dxux2Krx80r/bfZej8D2O77sLV43I6Fx21b2M/cxn7GdvG4HY+jHrstHreu/Qwv2RAREREREREREd3CYBkREREREREREdEtDJZZGXd3d8ydOxfu7u6WborZOeqx87h53ETm5qjvQx43j9sROOpxk3Vx1Pchj9uxjhtw3GN3hOO22wL/RERERERERERE+mJmGRERERERERER0S0MlhEREREREREREd3CYBkREREREREREdEtDJYRERERERERERHdwmCZjaitrUXfvn2hUChQXFxs6eaY1Llz55CcnIzw8HB4enqia9eumDt3LpRKpaWbZnQ5OTno0qULPDw8EB0djUOHDlm6SSaXnZ2N/v37o23btggICMDYsWNx8uRJSzfLrBYuXAiFQoGZM2dauilEIvYz9tnPAI7X17CfuYl9DVkbR+pnAMfqa9jPsJ+xRwyW2YhXX30VISEhlm6GWfz4449obGzEO++8gxMnTmDJkiVYuXIlXnvtNUs3zag+/PBDpKamYu7cuThy5Aj69OmDuLg4XLp0ydJNM6m9e/ciJSUFBw4cQH5+Purq6jBy5EjU1NRYumlmcfjwYbzzzjvo3bu3pZtCJMN+xv76GcAx+xpH72cA9jVknRypnwEcp69hP8N+xm4JZPW2b98udO/eXThx4oQAQPjuu+8s3SSzW7RokRAeHm7pZhjVgAEDhJSUFPF+Q0ODEBISImRnZ1uwVeZ36dIlAYCwd+9eSzfF5K5evSrcddddQn5+vjB06FDhpZdesnSTiARBYD8jCPbZzwgC+xpBcKx+RhDY15B1Yj9zkz32Nexn2M/Yaz/DzDIrV15ejqlTp+KDDz6Al5eXpZtjMZWVlfD397d0M4xGqVSiqKgIsbGx4jInJyfExsaioKDAgi0zv8rKSgCwq/9fbVJSUhAfHy/7fyeyNPYzN9lbPwOwr1FxpH4GYF9D1of9zG321tewn7mJ/Yx9crF0A0g7QRDw1FNPYfr06YiKisK5c+cs3SSLOH36NJYvX4633nrL0k0xmt9//x0NDQ0IDAyULQ8MDMSPP/5ooVaZX2NjI2bOnIn7778f99xzj6WbY1KbNm3CkSNHcPjwYUs3hUjEfuYme+xnAPY1gGP1MwD7GrI+7Gdus8e+hv0M+xl7xswyC5gzZw4UCkWztx9//BHLly/H1atXkZaWZukmG4Wuxy31yy+/YNSoUZgwYQKmTp1qoZaTqaSkpOD777/Hpk2bLN0Uk7pw4QJeeuklbNiwAR4eHpZuDjkA9jPsZ+gmR+lnAPY1ZF6O2s8A7GtIjv2M/VIIgiBYuhGO5rfffsPly5eb3eaOO+7AY489hi+++AIKhUJc3tDQAGdnZyQmJmLdunWmbqpR6Xrcbm5uAICLFy9i2LBhGDhwINauXQsnJ/uJ7SqVSnh5eeHjjz/G2LFjxeVJSUmoqKjAf//7X8s1zkxmzJiB//73v9i3bx/Cw8Mt3RyT2rJlCx599FE4OzuLyxoaGqBQKODk5ITa2lrZOqLWYj+jnaP0MwD7GkfqZwD2NWRejtrPAOxrpNjPsJ+x536GwTIrVlpaiqqqKvH+xYsXERcXh48//hjR0dHo1KmTBVtnWr/88guGDx+OyMhIrF+/3q4+dCrR0dEYMGAAli9fDuBmCm9oaChmzJiBOXPmWLh1piMIAl544QV89tln2LNnD+666y5LN8nkrl69ivPnz8uWPf300+jevTtmz57tECnbZJ3Yz9h3PwM4Zl/jiP0MwL6GrJMj9zOAY/Q17GfYz9hrP8OaZVYsNDRUdr9NmzYAgK5du9p1x/LLL79g2LBhCAsLw1tvvYXffvtNXBcUFGTBlhlXamoqkpKSEBUVhQEDBmDp0qWoqanB008/bemmmVRKSgo2btyI//73v2jbti3KysoAAL6+vvD09LRw60yjbdu2TToPb29vtG/f3u46FbIt7Gfsu58BHLOvccR+BmBfQ9bJUfsZwHH6GvYz7GfstZ9hsIysTn5+Pk6fPo3Tp0836UTtKRHy8ccfx2+//YaMjAyUlZWhb9++yM3NbVIg096sWLECADBs2DDZ8jVr1uCpp54yf4OIyOE4Sj8DOGZfw36GiKyBo/Q17GduYz9jXzgMk4iIiIiIiIiI6Bb7qS5IRERERERERETUSgyWERERERERERER3cJgGRERERERERER0S0MlhEREREREREREd3CYBkREREREREREdEtDJYRERERERERERHdwmAZERERERERERHRLQyWERERERERERER3cJgGRERERERERER0S0MlhEREREREREREd3CYBkREREREREREdEtDJYRERERERERERHd8v9nsncHPdbL/gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# e.g. substracting a background\n", "\n", "fig,ax = plt.subplots(ncols = 3, figsize = [15,3])\n", "\n", "# Source + background histogram\n", "h = Histogram(np.linspace(-5,5, 101), sumw2 = True)\n", "\n", "x = np.random.normal(size = 10000)\n", "h.fill(x)\n", "\n", "bkg = np.random.uniform(-5,5, size = 100000)\n", "h.fill(bkg)\n", "\n", "h.draw(ax[0])\n", "\n", "ax[0].set_title(\"data\")\n", "\n", "# Background only histogram\n", "h_b = Histogram(np.linspace(-5,5, 101), sumw2 = True)\n", "\n", "bkg = np.random.uniform(-5,5, size = 100000)\n", "h_b.fill(bkg)\n", "\n", "h_b.draw(ax[1])\n", "\n", "ax[1].set_title(\"background\")\n", "\n", "# Brackground-subtrated histogram\n", "\n", "h_s = h-h_b\n", "h_s.draw(ax[2])\n", "\n", "ax[2].set_title(\"data - background\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A convenient wrapper of scipy's [curve_fit](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.curve_fit.html]) is provided. All user parameters are passed along together with the histogram's data." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define a function to fit\n", "def f(x, N, x0, var):\n", " return N*np.exp(-(x-x0)**2/2/var)\n", "\n", "# Histogram will pass the initial guess (p0) to scipy curve_fit\n", "sol,cov = h_s.fit(f, p0 = [500,1,2])\n", "\n", "# Plot result\n", "x = np.linspace(-5,5,100)\n", "\n", "ax,_ = h_s.draw()\n", "\n", "ax.plot(x, f(x, *sol));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Disk I/O" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, you can save the histogram to disk as an [HDF5](https://docs.h5py.org) file" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "h.write(\"hist.h5\", overwrite=True)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "h2 = Histogram.open(\"hist.h5\")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h == h2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sparse histograms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sparse histogram are useful when most of the bins will be empty. This allows to handle a large number of bins or dimensions that would otherwise might be resource prohibitive. \n", "\n", "For example, let's create an spase histogram with 10^12 bins:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "h = Histogram([np.linspace(0,100,101) for n in range(6)], sparse = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sparse histogram are handled the same way as regular dense histogram, and for the most part you don't have to write code specific for them. \n", "\n", "In this example we'll fill the histogram with 6 fully corelated variables, each with a small statistical error:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "nsamples = 1000\n", "\n", "h.fill(np.random.uniform(0,100,nsamples) + np.random.normal(size = (h.ndim,nsamples)),\n", " warn_overflow = False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can then perform any operation as usual:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(, )" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhQAAAGiCAYAAAC/AV8QAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA7VElEQVR4nO3de3RV9Z3//9fJndtJDJpzSEkwahQQEAQNBxiHSkq4lELNrzNYRqNloNpABVpFLAjiJUo7FbEIo8OArpLS0p9gZRTlIqEMIUAE5WKjIGOicpJWmgSiCSRnf/9ATv2Ea7J3Loc8H2t91sp778/e53P2WpB3PrftsizLEgAAgA1hLd0AAAAQ+kgoAACAbSQUAADANhIKAABgGwkFAACwjYQCAADYRkIBAABsI6EAAAC2kVAAAADbSCgAAIBtDU4otm7dqjFjxigxMVEul0tr1641zluWpUcffVRdunRRu3btlJ6ero8++sioc+zYMU2YMEFut1txcXGaOHGiTpw4YeuLAACAltPghKKqqko33XSTFi9efM7zCxYs0KJFi7R06VIVFBSoQ4cOysjIUHV1dbDOhAkTdODAAW3YsEHr1q3T1q1bNXny5MZ/CwAA0KJcdl4O5nK5tGbNGo0bN07S6d6JxMRE/exnP9PPf/5zSVJFRYU8Ho9WrFih8ePH64MPPlDPnj21a9cuDRgwQJK0fv16jRo1Sp9++qkSExPtfysAANCsIpy82ZEjR+T3+5Wenh48Fhsbq7S0NOXn52v8+PHKz89XXFxcMJmQpPT0dIWFhamgoEDf//73z7pvTU2NampqgnEgENCxY8fUuXNnuVwuJ78CAOAyY1mWjh8/rsTERIWFNd3Uwerqap08edL2faKiohQTE+NAi5qXowmF3++XJHk8HuO4x+MJnvP7/UpISDAbERGh+Pj4YJ36cnJy9NhjjznZVABAG1NSUqKuXbs2yb2rq6uV0q2j/GV1tu/l9Xp15MiRkEsqHE0omsqsWbM0Y8aMYFxRUaHk5GQN0ShFKLIFWwYAaO1qdUrb9IY6derUZJ9x8uRJ+cvqdKSwm9ydGt8LUnk8oJT+n+jkyZNtO6Hwer2SpNLSUnXp0iV4vLS0VH379g3WKSsrM66rra3VsWPHgtfXFx0drejo6LOORyhSES4SCgDABXw9U7A5hsjdncJsJRShzNFvnZKSIq/Xq02bNgWPVVZWqqCgQD6fT5Lk8/lUXl6uwsLCYJ3NmzcrEAgoLS3NyeYAANCs6qyA7RKqGtxDceLECR06dCgYHzlyRHv37lV8fLySk5M1bdo0PfHEE0pNTVVKSormzJmjxMTE4EqQHj16aMSIEZo0aZKWLl2qU6dOacqUKRo/fjwrPAAAIS0gSwE1evGkrWtbWoMTit27d+vb3/52MD4ztyErK0srVqzQQw89pKqqKk2ePFnl5eUaMmSI1q9fb4wFrVy5UlOmTNGwYcMUFhamzMxMLVq0yIGvAwBAywkoIDt9DPaublm29qFoKZWVlYqNjdVQjWUOBQDggmqtU9qi11RRUSG3290kn3Hm99LnRV1tT8pMvOHTJm1rUwmJVR4AAISCOstSnY2/0+1c29JIKAAAcEhbnkPRNte2AAAAR9FDAQCAQwKyVNdGeyhIKAAAcAhDHgAAADbQQwEAgENY5QEAAGwLfF3sXB+qGPIAAAC20UMBAIBD6myu8rBzbUsjoQAAwCF11uli5/pQRUIBAIBDmEMBAABgAz0UAAA4JCCX6uSydX2oIqEAAMAhAet0sXN9qGLIAwAA2EYPBQAADqmzOeRh59qWRkIBAIBD2nJCwZAHAACwjR4KAAAcErBcClg2VnnYuLalkVAAAOAQhjwAAABsIKEAAMAhdQqzXRpiyZIl6tOnj9xut9xut3w+n958883g+aFDh8rlchnlvvvuM+5RXFys0aNHq3379kpISNCDDz6o2traBn93hjwAAHCIZXMOhdXAa7t27aqnn35aqampsixLL7/8ssaOHas9e/boxhtvlCRNmjRJ8+fPD17Tvn374M91dXUaPXq0vF6vtm/frqNHj+ruu+9WZGSknnrqqQa1hYQCAACHNPccijFjxhjxk08+qSVLlmjHjh3BhKJ9+/byer3nvP7tt9/WwYMHtXHjRnk8HvXt21ePP/64Zs6cqXnz5ikqKuqS28KQBwAArUxlZaVRampqLnpNXV2dVq1apaqqKvl8vuDxlStX6sorr1SvXr00a9Ysffnll8Fz+fn56t27tzweT/BYRkaGKisrdeDAgQa1mR4KAAAcUmeFqc5q/N/qdV+/yyMpKck4PnfuXM2bN++c1+zbt08+n0/V1dXq2LGj1qxZo549e0qSfvjDH6pbt25KTEzU+++/r5kzZ6qoqEivvvqqJMnv9xvJhKRg7Pf7G9R2EgoAABwSkEsBG53/AZ3OKEpKSuR2u4PHo6Ojz3vNDTfcoL1796qiokJ//OMflZWVpby8PPXs2VOTJ08O1uvdu7e6dOmiYcOG6fDhw7r22msb3c5zYcgDAIBW5syqjTPlQglFVFSUrrvuOvXv3185OTm66aab9Nxzz52zblpamiTp0KFDkiSv16vS0lKjzpn4fPMuzoeEAgAAh5yZlGmn2BUIBM4752Lv3r2SpC5dukiSfD6f9u3bp7KysmCdDRs2yO12B4dNLhVDHgAAOMT+HAqrQfVnzZqlkSNHKjk5WcePH1dubq62bNmit956S4cPH1Zubq5GjRqlzp076/3339f06dN12223qU+fPpKk4cOHq2fPnrrrrru0YMEC+f1+zZ49W9nZ2RfsFTkXEgoAAEJUWVmZ7r77bh09elSxsbHq06eP3nrrLX3nO99RSUmJNm7cqIULF6qqqkpJSUnKzMzU7Nmzg9eHh4dr3bp1uv/+++Xz+dShQwdlZWUZ+1ZcKhIKAAAccnpSpo2XgzXw2mXLlp33XFJSkvLy8i56j27duumNN95o0OeeCwkFAAAOCTRi+2zz+oYNebQmTMoEAAC20UMBAIBDmntSZmtCQgEAgEMCCnNkY6tQREIBAIBD6iyX6my8bdTOtS2NORQAAMA2eigAAHBInc1VHnUMeQAAgIAVpoCNSZmBEJ6UyZAHAACwjR4KAAAcwpAHAACwLSB7KzUCzjWl2THkAQAAbKOHAgAAh9jf2Cp0/84noQAAwCH2t94O3YQidFsOAABaDXooAABwSEAuBWRnUmbobr1NQgEAgEPa8pAHCQUAAA6xvw9F6CYUodtyAADQatBDAQCAQwKWSwE7G1uF8OvLSSgAAHBIwOaQRyjvQxG6LQcAAK0GPRQAADjE/uvLQ/fvfBIKAAAcUieX6mzsJWHn2pYWuqkQAABoNeihAADAIQx5AACa3anhA4w48u3dRlybbp6P2Gie/3T2oODPXZ/Y7nDr0Bh1sjdsUedcU5pd6KZCAACg1aCHAgAAhzDkAQAAbOPlYA6qq6vTvHnz9Nvf/lZ+v1+JiYm65557NHv2bLlcp8eVLMvS3Llz9dJLL6m8vFyDBw/WkiVLlJqa6nRzAKDVqj9n4vb9VUb88l9qjNg1cJARM2+i9bFsvr7cYtnoPzzzzDNasmSJfvOb3+iDDz7QM888owULFuj5558P1lmwYIEWLVqkpUuXqqCgQB06dFBGRoaqq6udbg4AAGgGjvdQbN++XWPHjtXo0aMlSVdffbV+97vfaefOnZJO904sXLhQs2fP1tixYyVJr7zyijwej9auXavx48c73SQAAJpFWx7ycLzlgwYN0qZNm/Thhx9Kkt577z1t27ZNI0eOlCQdOXJEfr9f6enpwWtiY2OVlpam/Pz8c96zpqZGlZWVRgEAoLU587ZROyVUOd5D8fDDD6uyslLdu3dXeHi46urq9OSTT2rChAmSJL/fL0nyeDzGdR6PJ3iuvpycHD322GNONxUAWlT9fSbenmaeT6q378RZ13/nG9db5rn6e1YATc3xHoo//OEPWrlypXJzc/Xuu+/q5Zdf1q9+9Su9/PLLjb7nrFmzVFFRESwlJSUOthgAAGfUff36cjslVDneQ/Hggw/q4YcfDs6F6N27tz755BPl5OQoKytLXq9XklRaWqouXboErystLVXfvn3Pec/o6GhFR0c73VQAABxld9gilIc8HE+FvvzyS4WFmbcNDw9XIBCQJKWkpMjr9WrTpk3B85WVlSooKJDP53O6OQDQarksyyifTT5plPo+mzXIKBEbdv+jbDQL2oYlS5aoT58+crvdcrvd8vl8evPNN4Pnq6urlZ2drc6dO6tjx47KzMxUaWmpcY/i4mKNHj1a7du3V0JCgh588EHV1tY2uC2O91CMGTNGTz75pJKTk3XjjTdqz549+vWvf60f/ehHkiSXy6Vp06bpiSeeUGpqqlJSUjRnzhwlJiZq3LhxTjcHAIBmE1CYAjb+Vm/otV27dtXTTz+t1NRUWZall19+WWPHjtWePXt04403avr06fqf//kfrV69WrGxsZoyZYruuOMO/e///q+k03tHjR49Wl6vV9u3b9fRo0d19913KzIyUk899VSD2uJ4QvH8889rzpw5+slPfqKysjIlJibqxz/+sR599NFgnYceekhVVVWaPHmyysvLNWTIEK1fv14xMTFONwcAgGZTZ7lUZ2PYoqHXjhkzxoiffPJJLVmyRDt27FDXrl21bNky5ebm6vbbb5ckLV++XD169NCOHTs0cOBAvf322zp48KA2btwoj8ejvn376vHHH9fMmTM1b948RUVFXXJbHB/y6NSpkxYuXKhPPvlEX331lQ4fPqwnnnjCaJTL5dL8+fPl9/tVXV2tjRs36vrrr3e6KQAAhKT6WyXU1NRc9Jq6ujqtWrVKVVVV8vl8Kiws1KlTp4xtGrp3767k5OTgNg35+fnq3bu3sfIyIyNDlZWVOnDgQIPazLs8AKCJ1H27vxHf+qw5t+GphP824mF3TzTiz2aZW21/K4ettls7pyZlJiUlGcfnzp2refPmnfOaffv2yefzqbq6Wh07dtSaNWvUs2dP7d27V1FRUYqLizPqf3ObBr/ff85tHM6cawgSCgAAHGLZfNuo9fW1JSUlcrvdweMXWul4ww03aO/evaqoqNAf//hHZWVlKS8vr9FtaCwSCgAAHFInl+psvODrzLVnVm1ciqioKF133XWSpP79+2vXrl167rnn9K//+q86efKkysvLjV6K0tLS4BYOXq83+GqMb54/c64hQncHDQAAcJZAIKCamhr1799fkZGRxjYNRUVFKi4uDm7T4PP5tG/fPpWVlQXrbNiwQW63Wz179mzQ59JDAQAOqT9nwmWZ+2E/kbDXjP9m/oftqjPre3dcfCIeWpeAZW9zqoB18TrfNGvWLI0cOVLJyck6fvy4cnNztWXLFr311luKjY3VxIkTNWPGDMXHx8vtdmvq1Kny+XwaOHCgJGn48OHq2bOn7rrrLi1YsEB+v1+zZ89WdnZ2gzeUJKEAAMAhAZtzKBp6bVlZme6++24dPXpUsbGx6tOnj9566y195zvfkSQ9++yzCgsLU2ZmpmpqapSRkaEXXngheH14eLjWrVun+++/Xz6fTx06dFBWVpbmz5/f4LaTUAAAEKKWLVt2wfMxMTFavHixFi9efN463bp10xtvvGG7LSQUANBIgX++2Yj/798DRtzuvXZGPHzCvxtx/SGR8C2FzjUOLSIglwI2JmXaubalkVAAAOCQ5t4pszVhlQcAALCNHgoAABzS3JMyWxMSCgC4RB+9bC4LHXXjfiP2/948fzFhW9414tr0AUbMa8hDT0A2t94O4TkUoZsKAQCAVoMeCgAAHGLZXOVhhXAPBQkFAAAOcepto6GIhAIAzqP+PhP1vbG/lxF3qjPPn+hXbcThvzTnTNTHnInQ15YnZYZuywEAQKtBDwUAAA5hyAMAcJawPHOI4lqrn3l+6x4jrj9E4v31hYc4cPlpy1tvM+QBAABso4cCAACHMOQBAABsI6EAAJzlo+XmVtj/1P0jI977+0FGnLDHXCYKtCUkFAAAOIQeCgAAYFtbTihY5QEAAGyjhwIAvuafZs6JsGpPmed9FUbs1fYmbxNCiyV7e0lYzjWl2ZFQAADgkLY85EFCAQCAQ9pyQsEcCgAAYBs9FADwtbCAGbsPRLZMQxCy2nIPBQkFAAAOacsJBUMeAADANnooAFy+Nnc1wr/+/8lGfOV7XxpxoN6fWN6FLAtFw1iWS5aNXgY717Y0EgoAABwSkMvWPhR2rm1pDHkAAADb6KEAAMAhbXlSJgkFgJD10W/SjDj1t/VeH/4LM7TMt5HLtW2vEXu3OdQwtFlteQ4FQx4AAMA2eigAAHAIQx4AAMC2tjzkQUIBoPUaeJMR/q1fByNOXVllxP/+ymtG/F/3jDPihEJz3wnAaZbNHopQTiiYQwEAAGyjhwIAAIdYkizL3vWhih4KACHDFTDL3/p2MMp/XX+1Uf7ar71RtH2vWQCHndkp005piJycHN1yyy3q1KmTEhISNG7cOBUVFRl1hg4dKpfLZZT77rvPqFNcXKzRo0erffv2SkhI0IMPPqja2toGtYUeCgAAQlReXp6ys7N1yy23qLa2Vo888oiGDx+ugwcPqkOHf8w5mjRpkubPnx+M27dvH/y5rq5Oo0ePltfr1fbt23X06FHdfffdioyM1FNPPXXJbSGhAADAIc29ymP9+vVGvGLFCiUkJKiwsFC33XZb8Hj79u3l9XrPeY+3335bBw8e1MaNG+XxeNS3b189/vjjmjlzpubNm6eoqKhLagtDHgAAOOTMPhR2iiRVVlYapaam5pI+v6KiQpIUHx9vHF+5cqWuvPJK9erVS7NmzdKXX/5jxVN+fr569+4tj8cTPJaRkaHKykodOHDgkr87PRQAWo0vJg0y4s77zWWh5T0CRnzttB0XvN9Vi3n9OEJTUlKSEc+dO1fz5s274DWBQEDTpk3T4MGD1atXr+DxH/7wh+rWrZsSExP1/vvva+bMmSoqKtKrr74qSfL7/UYyISkY+/3+S24zCQUAAA6xLJurPL6+tqSkRG63O3g8Ojr6otdmZ2dr//792rbNfCnN5MmTgz/37t1bXbp00bBhw3T48GFde+21jW9sPQx5AADgkDNzKOwUSXK73Ua5WEIxZcoUrVu3Tu+88466du16wbppaadfqnfo0CFJktfrVWlpqVHnTHy+eRfnQkIBAECIsixLU6ZM0Zo1a7R582alpKRc9Jq9e/dKkrp06SJJ8vl82rdvn8rKyoJ1NmzYILfbrZ49e15yWxjyAOAY1629jdjaua9B9TvvM+dMuOr3HQfMGfBf/LjenIv/ZM4EWlZzr/LIzs5Wbm6uXnvtNXXq1Ck45yE2Nlbt2rXT4cOHlZubq1GjRqlz5856//33NX36dN12223q06ePJGn48OHq2bOn7rrrLi1YsEB+v1+zZ89Wdnb2JQ21nEFCAQCAQwKWS65mfNvokiVLJJ3evOqbli9frnvuuUdRUVHauHGjFi5cqKqqKiUlJSkzM1OzZ88O1g0PD9e6det0//33y+fzqUOHDsrKyjL2rbgUJBQAADjEqUmZl17/whckJSUpLy/vovfp1q2b3njjjYZ9eD0kFAAcc7EhjvoO/6CjEcf9xfzrLP6AOQRy7ep6bwvNf69Bnweg6ZBQAADgkNM9FHbmUDjYmGZGQgEAgEOae1Jma8KyUQAAYBs9FAAcU38ZaH0lM83+3Gsy84342L+by0BdAXOrbSuMv4HQullfFzvXhyoSCgAAHMKQBwAAgA30UAAA4JQ2PObRJAnFZ599ppkzZ+rNN9/Ul19+qeuuu07Lly/XgAEDJJ3eiGPu3Ll66aWXVF5ersGDB2vJkiVKTU1tiuYAaCZf9O5kxJ3fO27Epz5yG/Gxieacifj/MrfODuH/W9FW2RzyEEMe//D3v/9dgwcPVmRkpN58800dPHhQ//Ef/6ErrrgiWGfBggVatGiRli5dqoKCAnXo0EEZGRmqrq52ujkAADSbMztl2imhyvEeimeeeUZJSUlavnx58Ng3335mWZYWLlyo2bNna+zYsZKkV155RR6PR2vXrtX48eOdbhIAAGhijvdQ/OlPf9KAAQP0gx/8QAkJCerXr59eeuml4PkjR47I7/crPT09eCw2NlZpaWnKz88/1y1VU1OjyspKowAA0NqcWeVhp4Qqx3soPv74Yy1ZskQzZszQI488ol27dumnP/2poqKilJWVFXy1qsfjMa7zeDzBc/Xl5OTosccec7qpABoorH8vIw4U7jfi+GXmHIgbdkcZ8ZG3B1ywPhDyLJe9eRAhnFA43kMRCAR0880366mnnlK/fv00efJkTZo0SUuXLm30PWfNmqWKiopgKSkpcbDFAADALscTii5duqhnz57GsR49eqi4uFiS5PV6JUmlpaVGndLS0uC5+qKjo+V2u40CAEBrw6RMBw0ePFhFRUXGsQ8//FDdunWTdHqCptfr1aZNm9S3b19JUmVlpQoKCnT//fc73RwANoT163nh8zffaMTH+pjJ/oc/NpeNXl3IEAcuc+xD4Zzp06dr0KBBeuqpp/Qv//Iv2rlzp1588UW9+OKLkiSXy6Vp06bpiSeeUGpqqlJSUjRnzhwlJiZq3LhxTjcHAAA0A8cTiltuuUVr1qzRrFmzNH/+fKWkpGjhwoWaMGFCsM5DDz2kqqoqTZ48WeXl5RoyZIjWr1+vmJgYp5sDAECzacvv8miSnTK/+93v6rvf/e55z7tcLs2fP1/z589vio8HAKDlhPCwhR28ywNowy42R+LvvWKN2GW+TVx/HWnubnvl2440C0AIIqEAAMAhDHkAAAD7WOUBAADsc31d7FwfmkgoAASV9zTnTFRcd+H/3K79tz0XPG/d2tuIL7Z1N4DQRUIBAIBTGPIAAAC2kVAAaIuKHmhvHrBOGWHqvbuN+JP5gxp0f2vnPjNu0NUAQgkJBQAATmnDry8noQAAwCF23xgaym8bdfz15QAAoO2hhwJoQ47fOdCIvW+b3asdJn5qxPW35k5ZW2HE9XbiBsCkTAAAYFsbnkPBkAcAALCNHgoAABzisk4XO9eHKhIK4DIWdpM5B+LosDoj9r5j/hcQOb2jEdfvfQ28d8C5xgGXI+ZQAAAA25hDAQAA0HgkFMBlrGRknFG6P19llLBayyjF373CKIH3DhoFwEVYDpQGyMnJ0S233KJOnTopISFB48aNU1FRkVGnurpa2dnZ6ty5szp27KjMzEyVlpYadYqLizV69Gi1b99eCQkJevDBB1VbW9ugtpBQAADglGZOKPLy8pSdna0dO3Zow4YNOnXqlIYPH66qqqpgnenTp+v111/X6tWrlZeXp88//1x33HFH8HxdXZ1Gjx6tkydPavv27Xr55Ze1YsUKPfroow1qC3MoAAAIUevXrzfiFStWKCEhQYWFhbrttttUUVGhZcuWKTc3V7fffrskafny5erRo4d27NihgQMH6u2339bBgwe1ceNGeTwe9e3bV48//rhmzpypefPmKSoq6pLaQg8FAABOcaiHorKy0ig1NTWX9PEVFad3s42Pj5ckFRYW6tSpU0pPTw/W6d69u5KTk5Wfny9Jys/PV+/eveXxeIJ1MjIyVFlZqQMHLn1lFz0UQIgL73VD8Ofj18cZ58b/8B0jXuX6thF/K2e7EZuLRgE0mEOrPJKSkozDc+fO1bx58y54aSAQ0LRp0zR48GD16tVLkuT3+xUVFaW4uDijrsfjkd/vD9b5ZjJx5vyZc5eKhAIAgFampKREbrc7GEdHR1/0muzsbO3fv1/btm1ryqadFwkFAAAOcWqnTLfbbSQUFzNlyhStW7dOW7duVdeuXYPHvV6vTp48qfLycqOXorS0VF6vN1hn586dxv3OrAI5U+dSMIcCAACnNPMqD8uyNGXKFK1Zs0abN29WSkqKcb5///6KjIzUpk2bgseKiopUXFwsn88nSfL5fNq3b5/KysqCdTZs2CC3262ePc3ddi+EHgqglQnv3d2I6/b9xYi/zDRfQd7pL8eCP5enhhvnfv/benMmFphzJgCEtuzsbOXm5uq1115Tp06dgnMeYmNj1a5dO8XGxmrixImaMWOG4uPj5Xa7NXXqVPl8Pg0cePr/kuHDh6tnz5666667tGDBAvn9fs2ePVvZ2dmXNNRyBgkFAAAhasmSJZKkoUOHGseXL1+ue+65R5L07LPPKiwsTJmZmaqpqVFGRoZeeOGFYN3w8HCtW7dO999/v3w+nzp06KCsrCzNnz+/QW0hoQAAwCEu2ZxD0cD6lnXxD4uJidHixYu1ePHi89bp1q2b3njjjQZ+uomEAmhl6g9xhPe43qxQ7z+QosnxwZ8TtwaMcwH+hQPNi5eDAQAANB5/vwAA4JRGrNQ46/oQRUIBAIBTSCgAhAorzBxj7XjkHyOXlsucQxF74O9GXNd0zQLQxpFQAADgEKd2ygxFJBQAADilDQ95sMoDAADYRg8F0MJqxtxqxJ8ONbfP7vSJOWei+rbjRpz8/+07772ZMwE0szbcQ0FCAQCAQ9ryHAqGPAAAgG30UAAA4JQ2vPU2CQXQxCK6pxpx0ZyORvyt35v1E/9s7iXRbm2BEVd/kmbEX41LO29dAM2MORQAAMAu5lAAAADYQA8F0MS+vPYKI77+iXIj/ujezkbc4TNzDNX1PXNZacxrDGsArRZDHgAAwDabQx6hnFAw5AEAAGyjhwIAAKcw5AHAKX+7b5ARe98pM+Kq1HgjTn3lmBHX7S9qmoYBaHptOKFgyAMAANhGDwUAAA5hHwoAAAAb6KEAbIpIvdaIXebO2To6LMGIq7qa569eZ86ZqK6/78SfdtprIAA0AxIKAACc0oYnZZJQAADgkLY8h4KEAmigiBuuM+LaokNG7L7GXBZq1Zup1GXT34246rsMcQCXlRBOCuxgUiYAALCNHgoAAJzCHAoAAGAXcygAXLo6c11oys72RlxylzlHov4cC6vH9UYcvY45EwBCHwkFAABOYcgDAADY1ZaHPFjlAQAAbGvyHoqnn35as2bN0gMPPKCFCxdKkqqrq/Wzn/1Mq1atUk1NjTIyMvTCCy/I4/E0dXOAi/r0F+brxz27Thrx37tGmhf8sP4dAvUPGOo++LCRLQPQ6rXhIY8m7aHYtWuX/vM//1N9+vQxjk+fPl2vv/66Vq9erby8PH3++ee64447mrIpAAA0PcuBEqKaLKE4ceKEJkyYoJdeeklXXHFF8HhFRYWWLVumX//617r99tvVv39/LV++XNu3b9eOHTvOea+amhpVVlYaBQAAtB5NllBkZ2dr9OjRSk9PN44XFhbq1KlTxvHu3bsrOTlZ+fn557xXTk6OYmNjgyUpKampmo02IOKaq81y3TVG8RacNMqJb0Ua5aqtpUZReJhZLMssANqMM5My7ZSG2Lp1q8aMGaPExES5XC6tXbvWOH/PPffI5XIZZcSIEUadY8eOacKECXK73YqLi9PEiRN14sSJBn/3JkkoVq1apXfffVc5OTlnnfP7/YqKilJcXJxx3OPxyO/3n/N+s2bNUkVFRbCUlJQ0RbMBALCnmYc8qqqqdNNNN2nx4sXnrTNixAgdPXo0WH73u98Z5ydMmKADBw5ow4YNWrdunbZu3arJkyc3rCFqgkmZJSUleuCBB7RhwwbFxMQ4cs/o6GhFR0c7ci8AAJpMM0/KHDlypEaOHHnBOtHR0fJ6vec898EHH2j9+vXatWuXBgwYIEl6/vnnNWrUKP3qV79SYmLiJbfF8R6KwsJClZWV6eabb1ZERIQiIiKUl5enRYsWKSIiQh6PRydPnlR5eblxXWlp6Xm/MAAAbUn9eYM1NTWNvteWLVuUkJCgG264Qffff7+++OKL4Ln8/HzFxcUFkwlJSk9PV1hYmAoKChr0OY73UAwbNkz79u0zjt17773q3r27Zs6cqaSkJEVGRmrTpk3KzMyUJBUVFam4uFg+n8/p5gAXdWyguVy5/uvGr1heb27PNVcbYe2hj5ugVQBCkVMbW9WfKzh37lzNmzevwfcbMWKE7rjjDqWkpOjw4cN65JFHNHLkSOXn5ys8PFx+v18JCQnGNREREYqPjz/vNITzcTyh6NSpk3r16mUc69Chgzp37hw8PnHiRM2YMUPx8fFyu92aOnWqfD6fBg4c6HRzAABoPg4NeZSUlMjtdgcPN3bYf/z48cGfe/furT59+ujaa6/Vli1bNGzYMBsNPVuLbL397LPPKiwsTJmZmcbGVgAAQHK73UZC4ZRrrrlGV155pQ4dOqRhw4bJ6/WqrKzMqFNbW6tjx441eBpCsyQUW7ZsMeKYmBgtXrz4grNSAQAINa39XR6ffvqpvvjiC3Xp0kWS5PP5VF5ersLCQvXv31+StHnzZgUCAaWlpTXo3rwcDJediG719ilxmZMiTibFm6fr7ZTt/q05ZyLiumuMmDkTAM6rmVd5nDhxQocOHQrGR44c0d69exUfH6/4+Hg99thjyszMlNfr1eHDh/XQQw/puuuuU0ZGhiSpR48eGjFihCZNmqSlS5fq1KlTmjJlisaPH9+gFR4SLwcDACBk7d69W/369VO/fv0kSTNmzFC/fv306KOPKjw8XO+//76+973v6frrr9fEiRPVv39//fnPfzbmZKxcuVLdu3fXsGHDNGrUKA0ZMkQvvvhig9tCDwUAAE5p5h6KoUOHyrrAjrxvvfXWRe8RHx+v3Nzchn3wOZBQAADgENfXxc71oYqEAped2k8uvDX7//3EHBfs9qb5evLA0JvN+21515mGAcBljIQCAACnNPOQR2tCQgEAgENa+7LRpkRCgZAXcXW3C57/4LErjThxnfkvNvydQvN+9bbWPmur7Y//ryHNA9CWtOEeCpaNAgAA2+ihAADASSHcy2AHCQUAAA5hDgUQwsrTuhhxh8+qjdi7PtI8v3rHBe/HHAkAaDgSCgAAnNKGJ2WSUAAA4JC2POTBKg8AAGAbPRQIORHJXY04bsdnRlxxy7eMuOOnNU3eJgCQxJAHAACwjyEPAAAAG+ihQKvnurW3EZf27WTEnjc+MeLYXeYQyMXePgoAjmHIAwAA2EZCAQAA7GIOBQAAgA30UKDVcQ0w50wc/peORnz9QnPORO2n5pwJAGgxDHkAAAC7XJYll9X4rMDOtS2NIQ8AAGAbPRQAADiFIQ+g5dR891Yj7rDnUyO+5uf7jLi23vX1t+KuLf5UANASWOUBAABgAz0UAAA4hSEPoOmE3XyjER+9LdaIvduPmxe4XEYY0dV8e2j9ZaIMcQBoLRjyAAAAsIEeCgAAnMKQBwAAsKstD3mQUKDJhfmPGXH8B+3NCoF6F4TwTnEA2rg23EPBHAoAAGAbPRQAADgolIct7CChAADAKZZlb9g2hId8SShwlghPghHXlpZduH5iFyOu7mnuG3EywtxXImr9LiN23dTT/LzPPr+kdgIAWg8SCgAAHMIqDwAAYF8bXuVBQoGzXGyII7x3dyOuvD7OiL+8ylw8FHvklBGfyrjFiCPfModA6g+h1H5+9ILtAYC2auvWrfrlL3+pwsJCHT16VGvWrNG4ceOC5y3L0ty5c/XSSy+pvLxcgwcP1pIlS5Samhqsc+zYMU2dOlWvv/66wsLClJmZqeeee04dO3ZsUFtYNgoAgENcAfulIaqqqnTTTTdp8eLF5zy/YMECLVq0SEuXLlVBQYE6dOigjIwMVVdXB+tMmDBBBw4c0IYNG7Ru3Tpt3bpVkydPbvB3p4cCAACnNPOQx8iRIzVy5Mhz38qytHDhQs2ePVtjx46VJL3yyivyeDxau3atxo8frw8++EDr16/Xrl27NGDAAEnS888/r1GjRulXv/qVEhMTL7kt9FAAANDKVFZWGqWmpqbB9zhy5Ij8fr/S09ODx2JjY5WWlqb8/HxJUn5+vuLi4oLJhCSlp6crLCxMBQUFDfo8eihgW6cPy42446EL56mB9w5e8DxzJgCEKqdWeSQlJRnH586dq3nz5jXoXn6/X5Lk8XiM4x6PJ3jO7/crIcHcKiAiIkLx8fHBOpeKhAIAAKc4tLFVSUmJ3G538HB0dLTdljU5hjwAAHDImR4KO0WS3G63URqTUHi9XklSaWmpcby0tDR4zuv1qqzMXNlXW1urY8eOBetcKhIKAAAuQykpKfJ6vdq0aVPwWGVlpQoKCuTz+SRJPp9P5eXlKiwsDNbZvHmzAoGA0tLSGvR5DHlAEVddacS1f/2beb7eVtxWoN66pjAzL73YHImILmbWW3u0YeN0ANBqNfMqjxMnTujQoUPB+MiRI9q7d6/i4+OVnJysadOm6YknnlBqaqpSUlI0Z84cJSYmBveq6NGjh0aMGKFJkyZp6dKlOnXqlKZMmaLx48c3aIWHREIBAIBjmnvr7d27d+vb3/52MJ4xY4YkKSsrSytWrNBDDz2kqqoqTZ48WeXl5RoyZIjWr1+vmJiY4DUrV67UlClTNGzYsODGVosWLWpw20koAAAIUUOHDpV1gUmgLpdL8+fP1/z5889bJz4+Xrm5ubbbQkIBAIBTeH052pKz5kykdjXi8lGpRhz7cbURR374mXn9Rd79UR9zJgBcrtry20ZZ5QEAAGyjhwIAAKfw+nJcbiISrgr+XFv2V/NkXKwZb99rhFceM4c86mvoEAcAtBUMeQAAANhADwUAAE4JWKeLnetDFAkFAABOYQ4FLjffnDcR0bmzebK8wggjUq814r/fbC4rvWLDR2b9i2zVDQBtlUs251A41pLmxxwKAABgGz0UAAA4hZ0yAQCAXW152ajjCUVOTo5effVV/eUvf1G7du00aNAgPfPMM7rhhhuCdaqrq/Wzn/1Mq1atUk1NjTIyMvTCCy/I4/E43RxIqv3iCyOO6H7hfSY65eab1zveIgDA5cbxORR5eXnKzs7Wjh07tGHDBp06dUrDhw9XVVVVsM706dP1+uuva/Xq1crLy9Pnn3+uO+64w+mmAADQvCwHSohyvIdi/fr1RrxixQolJCSosLBQt912myoqKrRs2TLl5ubq9ttvlyQtX75cPXr00I4dOzRw4MCz7llTU6OamppgXFlZ6XSzAQCwzWVZctmYB2Hn2pbW5Ks8KipOL1GMj4+XJBUWFurUqVNKT08P1unevbuSk5OVn59/znvk5OQoNjY2WJKSkpq62ZeViM6djRLoEG0Uq+xvRgEAoKGaNKEIBAKaNm2aBg8erF69ekmS/H6/oqKiFBcXZ9T1eDzy+8/9WutZs2apoqIiWEpKSpqy2QAANE7AgRKimnSVR3Z2tvbv369t27bZuk90dLSio6MdahUAAE2DIY8mMGXKFK1bt07vvPOOunbtGjzu9Xp18uRJlZeXG/VLS0vl9XqbqjkAAKAJOd5DYVmWpk6dqjVr1mjLli1KSUkxzvfv31+RkZHatGmTMjMzJUlFRUUqLi6Wz+dzujlt1je3xz5ra+x6y0gBAA7hXR7Oyc7OVm5url577TV16tQpOC8iNjZW7dq1U2xsrCZOnKgZM2YoPj5ebrdbU6dOlc/nO+cKDwAAQgY7ZTpnyZIlkqShQ4cax5cvX6577rlHkvTss88qLCxMmZmZxsZWAACEMnbKdJB1CdlVTEyMFi9erMWLFzv98QAAoAXwLo/LFK8UB4AWwJAHAACwyxU4XexcH6qafKdMAABw+aOHAgAApzDkAQAAbGvD+1Aw5AEAAGyjhwIAAIe05Xd5kFAAAOCUNjyHgiEPAABgGz0UAAA4xZJkZy+J0O2gIKEAAMApzKEAAAD2WbI5h8KxljQ75lAAAADb6KEAAMApbXiVBwkFAABOCUhy2bw+RDHkAQBAiJo3b55cLpdRunfvHjxfXV2t7Oxsde7cWR07dlRmZqZKS0ubpC0kFAAAOOTMKg87paFuvPFGHT16NFi2bdsWPDd9+nS9/vrrWr16tfLy8vT555/rjjvucPIrBzHkAQCAUxyaQ1FZWWkcjo6OVnR09DkviYiIkNfrPet4RUWFli1bptzcXN1+++2SpOXLl6tHjx7asWOHBg4c2Ph2ngM9FAAAtDJJSUmKjY0NlpycnPPW/eijj5SYmKhrrrlGEyZMUHFxsSSpsLBQp06dUnp6erBu9+7dlZycrPz8fMfbTA8FAABOcaiHoqSkRG63O3j4fL0TaWlpWrFihW644QYdPXpUjz32mP7pn/5J+/fvl9/vV1RUlOLi4oxrPB6P/H5/49t4HiQUAAA4xaGEwu12GwnF+YwcOTL4c58+fZSWlqZu3brpD3/4g9q1a9f4djQCQx4AAFwm4uLidP311+vQoUPyer06efKkysvLjTqlpaXnnHNhFwkFAABOCThQbDhx4oQOHz6sLl26qH///oqMjNSmTZuC54uKilRcXCyfz2fvg86BIQ8AABzS3C8H+/nPf64xY8aoW7du+vzzzzV37lyFh4frzjvvVGxsrCZOnKgZM2YoPj5ebrdbU6dOlc/nc3yFh0RCAQCAc5p56+1PP/1Ud955p7744gtdddVVGjJkiHbs2KGrrrpKkvTss88qLCxMmZmZqqmpUUZGhl544YXGt+8CSCgAAAhRq1atuuD5mJgYLV68WIsXL27ytpBQAADglIAluWz0UAR4ORgAAGjDbxtllQcAALCNHgoAABxjs4dCodtDQUIBAIBTGPIAAABoPHooAABwSsCSrWELVnkAAABZgdPFzvUhiiEPAABgGz0UAAA4pQ1PyiShAADAKcyhAAAAtrXhHgrmUAAAANvooQAAwCmWbPZQONaSZkdCAQCAUxjyAAAAaDx6KAAAcEogIMnG5lSB0N3YioQCAACnMOQBAADQePRQAADglDbcQ0FCAQCAU9rwTpkMeQAAANvooQAAwCGWFZBl4xXkdq5taSQUAAA4xbLsDVswhwIAAJxOCNpmQsEcCgAAYBs9FAAAOCUQkFw25kEwhwIAADDkAQAAYAM9FAAAOMQKBGTZGPJg2SgAAGDIAwAAwA56KAAAcErAklxts4eChAIAAKdYliQ7y0ZDN6FgyAMAANhGDwUAAA6xApYsG0MeVgj3UJBQAADgFCsge0MeobtstEWHPBYvXqyrr75aMTExSktL086dO1uyOQAA2GIFLNulMVrD79MWSyh+//vfa8aMGZo7d67effdd3XTTTcrIyFBZWVlLNQkAgJDTWn6fuqwWGrBJS0vTLbfcot/85jeSpEAgoKSkJE2dOlUPP/ywUbempkY1NTXBuKKiQsnJyRqiUYpQZLO2GwAQWmp1Stv0hsrLyxUbG9skn1FZWanY2Fjbv5fOtLWkpERutzt4PDo6WtHR0ee8piG/T5uU1QJqamqs8PBwa82aNcbxu+++2/re9753Vv25c+ee2XqMQqFQKJRGlcOHDzfZ77WvvvrK8nq9jrSzY8eOZx2bO3fuOT+3ob9Pm1KLTMr829/+prq6Onk8HuO4x+PRX/7yl7Pqz5o1SzNmzAjG5eXl6tatm4qLi5ss27xcVVZWKikp6azsF5eG59d4PDt7eH6Nd6ZXOz4+vsk+IyYmRkeOHNHJkydt38uyLLlcLuPY+XonGvr7tCmFxCqP83X1xMbG8g+rkdxuN8/OBp5f4/Hs7OH5NV5YWNNOG4yJiVFMTEyTfkZr1iKTMq+88kqFh4ertLTUOF5aWiqv19sSTQIAIOS0pt+nLZJQREVFqX///tq0aVPwWCAQ0KZNm+Tz+VqiSQAAhJzW9Pu0xYY8ZsyYoaysLA0YMEC33nqrFi5cqKqqKt17770XvTY6Olpz584975gSzo9nZw/Pr/F4dvbw/Brvcn92dn6fOqnFlo1K0m9+8xv98pe/lN/vV9++fbVo0SKlpaW1VHMAAAhJreH3aYsmFAAA4PLA20YBAIBtJBQAAMA2EgoAAGAbCQUAALAtJBOK1vCa1tYuJydHt9xyizp16qSEhASNGzdORUVFRp3q6mplZ2erc+fO6tixozIzM8/aHAXS008/LZfLpWnTpgWP8ezO77PPPtO//du/qXPnzmrXrp169+6t3bt3B89blqVHH31UXbp0Ubt27ZSenq6PPvqoBVvcetTV1WnOnDlKSUlRu3btdO211+rxxx/XN+fO8/xO27p1q8aMGaPExES5XC6tXbvWOH8pz+nYsWOaMGGC3G634uLiNHHiRJ04caIZv8VlplnfHOKAVatWWVFRUdZ///d/WwcOHLAmTZpkxcXFWaWlpS3dtFYlIyPDWr58ubV//35r79691qhRo6zk5GTrxIkTwTr33XeflZSUZG3atMnavXu3NXDgQGvQoEEt2OrWZ+fOndbVV19t9enTx3rggQeCx3l253bs2DGrW7du1j333GMVFBRYH3/8sfXWW29Zhw4dCtZ5+umnrdjYWGvt2rXWe++9Z33ve9+zUlJSrK+++qoFW946PPnkk1bnzp2tdevWWUeOHLFWr15tdezY0XruueeCdXh+p73xxhvWL37xC+vVV1+1JJ31cqxLeU4jRoywbrrpJmvHjh3Wn//8Z+u6666z7rzzzmb+JpePkEsobr31Vis7OzsY19XVWYmJiVZOTk4Ltqr1KysrsyRZeXl5lmVZVnl5uRUZGWmtXr06WOeDDz6wJFn5+fkt1cxW5fjx41Zqaqq1YcMG65//+Z+DCQXP7vxmzpxpDRky5LznA4GA5fV6rV/+8pfBY+Xl5VZ0dLT1u9/9rjma2KqNHj3a+tGPfmQcu+OOO6wJEyZYlsXzO5/6CcWlPKeDBw9akqxdu3YF67z55puWy+WyPvvss2Zr++UkpIY8Tp48qcLCQqWnpwePhYWFKT09Xfn5+S3YstavoqJCkoJv2yssLNSpU6eMZ9m9e3clJyfzLL+WnZ2t0aNHG89I4tldyJ/+9CcNGDBAP/jBD5SQkKB+/frppZdeCp4/cuSI/H6/8exiY2OVlpbW5p+dJA0aNEibNm3Shx9+KEl67733tG3bNo0cOVISz+9SXcpzys/PV1xcnAYMGBCsk56errCwMBUUFDR7my8HIfG20TNa02taQ0kgENC0adM0ePBg9erVS5Lk9/sVFRWluLg4o67H45Hf72+BVrYuq1at0rvvvqtdu3addY5nd34ff/yxlixZohkzZuiRRx7Rrl279NOf/lRRUVHKysoKPp9z/Rtu689Okh5++GFVVlaqe/fuCg8PV11dnZ588klNmDBBknh+l+hSnpPf71dCQoJxPiIiQvHx8TzLRgqphAKNk52drf3792vbtm0t3ZSQUFJSogceeEAbNmxo068iboxAIKABAwboqaeekiT169dP+/fv19KlS5WVldXCrWv9/vCHP2jlypXKzc3VjTfeqL1792ratGlKTEzk+aHVC6khj9b0mtZQMWXKFK1bt07vvPOOunbtGjzu9Xp18uRJlZeXG/V5lqeHNMrKynTzzTcrIiJCERERysvL06JFixQRESGPx8OzO48uXbqoZ8+exrEePXqouLhYkoLPh3/D5/bggw/q4Ycf1vjx49W7d2/dddddmj59unJyciTx/C7VpTwnr9ersrIy43xtba2OHTvGs2ykkEooWtNrWls7y7I0ZcoUrVmzRps3b1ZKSopxvn///oqMjDSeZVFRkYqLi9v8sxw2bJj27dunvXv3BsuAAQM0YcKE4M88u3MbPHjwWcuTP/zwQ3Xr1k2SlJKSIq/Xazy7yspKFRQUtPlnJ0lffvmlwsLM/5bDw8MVCAQk8fwu1aU8J5/Pp/LychUWFgbrbN68WYFAgJdUNlZLzwptqFWrVlnR0dHWihUrrIMHD1qTJ0+24uLiLL/f39JNa1Xuv/9+KzY21tqyZYt19OjRYPnyyy+Dde677z4rOTnZ2rx5s7V7927L5/NZPp+vBVvden1zlYdl8ezOZ+fOnVZERIT15JNPWh999JG1cuVKq3379tZvf/vbYJ2nn37aiouLs1577TXr/ffft8aOHdsmlz2eS1ZWlvWtb30ruGz01Vdfta688krroYceCtbh+Z12/Phxa8+ePdaePXssSdavf/1ra8+ePdYnn3xiWdalPacRI0ZY/fr1swoKCqxt27ZZqampLBu1IeQSCsuyrOeff95KTk62oqKirFtvvdXasWNHSzep1ZF0zrJ8+fJgna+++sr6yU9+Yl1xxRVW+/btre9///vW0aNHW67RrVj9hIJnd36vv/661atXLys6Otrq3r279eKLLxrnA4GANWfOHMvj8VjR0dHWsGHDrKKiohZqbetSWVlpPfDAA1ZycrIVExNjXXPNNdYvfvELq6amJliH53faO++8c87/47KysizLurTn9MUXX1h33nmn1bFjR8vtdlv33nuvdfz48Rb4NpcHXl8OAABsC6k5FAAAoHUioQAAALaRUAAAANtIKAAAgG0kFAAAwDYSCgAAYBsJBQAAsI2EAgAA2EZCAQAAbCOhAAAAtpFQAAAA2/4fSyWc1XIqLSYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Slice along the 5th axis\n", "h = h.slice[{4:slice(20,80)}]\n", "\n", "# Linear weight along the 3rd axis\n", "h *= h.expand_dims(h.axes[2].centers, 2)\n", "\n", "# Project onto the first 2 axes\n", "h = h.project(0,1)\n", "\n", "h.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main difference is that sparse histograms return [SparseArrays](https://sparse.pydata.org/) instead of regular numpy arrays" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sparse._coo.core.COO" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(h.contents)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can transform a sparse histogram into a regular one using `to_dense()`" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "numpy.ndarray" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(h.to_dense().contents)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "NOTE: When working with sparse histograms, and for optimal efficiency, complete the filling process before performing operations —e.g. projections, slices, arithmetics, etc. There is an overhead required to prepare the histogram for contents modification.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "NOTE: SparseArray do not yet fully supports numpy's advance indexing —i.e. using an index array. Accessing the contents with a one-dimensional array works —e.g. h[[0,3,7]], but multiple dimensional array —e.g. h[[[0,3,7]]]— and setting multiple bins —e.g. h[[0,3,7]] = 1— does not.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Units" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both `Histogram` and `Axis` support astropy's units for the contents and edges, respectively:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Axis units = cm\n", "Histogram contents units = 1 / cm\n" ] } ], "source": [ "import astropy.units as u\n", "\n", "h = Histogram(np.linspace(0,100,100) * u.cm)\n", "\n", "# The unit's conversion is handled internally\n", "h.fill(np.random.uniform(0, 1, 10000) * u.m) \n", "\n", "# The histogram contents can also have units,\n", "# which are updated when arithmethic operations are applied\n", "h /= h.axis.widths\n", "\n", "print(f\"Axis units = {h.axis.unit}\")\n", "print(f\"Histogram contents units = {h.unit}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## HealpixAxis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `HealpixAxis` is class inherits from the general `Axis` and [mhealpy](https://mhealpy.readthedocs.io/)'s [HealpixBase](https://mhealpy.readthedocs.io/en/latest/api/classes.html#healpixbase). It allows to bin data representing directions in spherical coordinates. In this case, the bins correspond to pixels in a [HEALPix](https://healpix.jpl.nasa.gov/html/intronode4.htm) grid. \n", "\n", "Histograms using HealpixAxis are plotted using [WCSAxes](https://docs.astropy.org/en/stable/visualization/wcsaxes/index.html). See also mhealpy's plotting documentation." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from histpy import HealpixAxis\n", "from astropy.coordinates import UnitSphericalRepresentation\n", "\n", "# nside must be a power of 2. \n", "# The pixel size is approximately 60deg/nside\n", "h_map = Histogram(HealpixAxis(nside = 16))\n", "\n", "# Fill with uniform distributions in longitude and latitude,\n", "# which is NOT an uniform distribution in the sphere\n", "nsamples = 10000\n", "lon = np.random.uniform( 0,360,nsamples)*u.deg\n", "lat = np.random.uniform(-80, 80,nsamples)*u.deg\n", "points = UnitSphericalRepresentation(lon = lon, lat = lat)\n", "\n", "h_map.fill(points)\n", "\n", "# Mollweide projection (by default)\n", "h_map.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TimeAxis and TimeDeltaAxis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `TimeAxis` and `TimeDeltaAxis` inherit from the general `Axis` and can handle natively astropy's `Time` and `TimeDelta` object.\n", "\n", "The main differences compared to using a regular `Axis` with time unit are:\n", "- `TimeAxis` and `TimeDeltaAxis` handle the transformation between different time formats and systems.\n", "- `Time` and `TimeDelta` internally store two 64-bit values to achieve sub-ns precision at any point in the history of the Universe.\n", "- `TimeAxis` is plotted using matplotlib's date formatter for more meaningful tick labels.\n", "\n", "If you provide a `Time` object as edges, `Histogram` will automatically use `TimeAxis`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from astropy.time import Time\n", "\n", "t0 = Time.now()\n", "edges = t0 + np.linspace(0*u.day,1*u.day) # This is also a Time object\n", "\n", "h = Histogram(edges) # Automatically uses TimeAxis\n", "\n", "random_times = t0 + np.random.normal(loc = .5, scale = .1, size = 10000)*u.day\n", "h.fill(random_times)\n", "\n", "ax,plot = h.plot()\n", "\n", "# Optional: Format axes\n", "import matplotlib.dates as mdates\n", "ax.tick_params(axis='x', labelrotation=45)\n", "ax.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m-%d %H:%M'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can convert `TimeAxis` to a `TimeDeltaAxis` by subtracting a reference time, and viceversa:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t0 = Time.now()\n", "\n", "# Keeps sub-ns bins\n", "edges = t0 + np.linspace(0*u.us,1*u.us,1000) \n", "\n", "h = Histogram(edges)\n", "\n", "random_times = t0 + np.random.normal(loc = 500, scale = 50, size = 10000)*u.ns\n", "h.fill(random_times)\n", "\n", "# Get a TimeDeltaAxis by subtracting a time\n", "h.axis = h.axis - t0\n", "\n", "# Optional: transform to a regular Axis with units\n", "h.axis = h.axis.to(u.ns)\n", "\n", "ax,plot = h.plot()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.11" } }, "nbformat": 4, "nbformat_minor": 4 }