{ "metadata": { "name": "", "signature": "sha256:1a783162107daa18c2cd89074e4af7f2dd6fe51dcd087651c91ae656ff3537a6" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#easyplot\n", "**easyplot:** A matplotlib wrapper written in Python to enable fast and easy creation of reusable plots.\n", "\n", "by [Sudeep Mandal](http://www.sudeepmandal.com)\n", "\n", "The EasyPlot module provides a thin wrapper to matplotlib, enabling fast and easy generation of beautiful, annotated plots with minimal code. It also enables the reuse of EasyPlot instances to generate new plots that maintain state from previous plots allowing for quick and easy generation of multiple plots of a similar type. EasyPlot supports all commonly used plot parameters and allows access to the underlying figure and axes instances to allow the user to further customize the generated plots if necessary.\n", "
\n", "I'd love to hear your comments and/or suggestions. You can get in touch with me via [twitter](https://twitter.com/hamsterhuey), [email](mailto:sudeepmandal@gmail.com) or [google+](https://plus.google.com/u/0/105292596991480463202/)\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Sections\n", "- [Requirements](#requirements)\n", "- [Installation](#installation)\n", "- [Motivation and Background](#motivation)\n", "- [Features](#features)\n", "- [Documentation](#documentation)\n", " - [EasyPlot instance methods](#methods)\n", " - [EasyPlot instance variables](#variables)\n", " - [List of supported plot parameters](#plot_params)\n", " - [Interactive/Non-Interactive plotting mode](#interactive_mode)\n", "- [Usage and Examples](#usage)\n", " - [Simple Plot](#simple_plot)\n", " - [Multiple plots in the same figure (Interactive)](#multiple_plots)\n", " - [Using EasyPlot object as template for new plots](#easyplot_template)\n", " - [Autoscaling Plots](#autoscale)\n", " - [Setting background grid](#grid)\n", " - [Log/Linear/Symlog plots](#log_linear_scale)\n", " - [Modifying Plot color cycle](#colorcycle)\n", " - [Multiple plots in same figure iteratively using iter_plot](#iter_plot)\n", "- [Advanced plotting](#advanced_plotting)\n", " - [Using easyplot with subplots](#subplots)\n", " - [Custom plot modifications via axes instance](#ax_mods)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Requirements\n", "- Python 2.7.2+\n", "- matplotlib\n", "\n", "Use of the [IPython](http://ipython.org/) shell is strongly recommended with this library (and matplotlib plotting in general). The `%matplotlib` magic command in IPython (or starting IPython using `ipython --matplotlib`) implements a number of backend tweaks to enable robust, interactive plotting using matplotlib." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Installation\n", "[[back to section overview](#sections)]\n", "\n", "You can use the following commands to install EasyPlot:\n", "\n", "`pip install easyplot`\n", "\n", "or\n", "\n", "`easy_install easyplot`\n", "\n", "Alternatively, you could download the package manually from the Python Package Index: https://pypi.python.org/pypi/EasyPlot, unzip it, navigate into the package, and use the command:\n", "\n", "`python setup.py install`\n", "\n", "or\n", "\n", "`pip install .` " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Motivation and background\n", "[[back to section overview](#sections)]\n", "\n", "Setting up aesthetically pleasing plots with plot titles, axes labels, etc requires several lines of boilerplate code in vanilla matplotlib. As an example, creating a basic plot in matplotlib requires the following lines of code: \n", "```python\n", "fig, ax = plt.subplots()\n", "ax.plot(x, x**2, 'b-o', label=\"y = x**2\")\n", "ax.plot(x, x**3, 'r--s', label=\"y = x**3\")\n", "ax.legend(loc='best')\n", "ax.grid()\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title')\n", "```\n", "\n", "Pylab alleviates some of this, but still requires calls to a number of different functions that are commonly used (such as xlabel, xlim, etc.). More complicated plots can require several more lines of code. Typing all this code every time to generate plots gets tedious very quickly. This situation is further exacerbated when working in an IPython Notebook where all plots typically need to be labeled, annotated and looking their best. Having several lines of code preceeding every plot in a notebook can break the flow of the document and distract from the code/concepts being presented by the author. Furthermore, oftentimes, plots with similar labels and formatting need to be generated repeatedly with different datasets. Generating these sets of plots would require retyping these same lines of boilerplate code across different sections of your code/notebook.\n", "\n", "Easyplot is my attempt to address these issues and make generating quick, pleasant looking, annotated plots a bit easier. In keeping with [DRY philosophy](http://en.wikipedia.org/wiki/Don%27t_repeat_yourself), `easyplot` enables the creation of an `EasyPlot` object that maintains state information of all plot parameters passed to it in order to generate a plot. This can then be easily reused to generate new plots with the user only having to supply any additional plot parameters, or those parameters he or she wishes to override from the previous plot.\n", "\n", "Easyplot supports a large number of standard plot parameters that most users typically deal with when plotting in matplotlib. Additionally, it provides methods to access the figure and axes instance for the latest plot, enabling users to perform more custom plot modifications that are not directly supported by easyplot. It also supports interactive plotting where additional plot parameters can be passed to the current plot using the `update_plot` method. The plot above can be generated using `easyplot` as follows:\n", "```python\n", "eplot = EasyPlot(x, x**2, 'b-o', label='y = x**2', showlegend=True,\n", " xlabel='x', ylabel='y', title='title', grid='on')\n", "eplot.add_plot(x, x**3, 'r--s', label='y = x**3')\n", "```\n", "Along with the reduced typing, easyplot enables the consolidation and passing of all plot parameters into a single plot call. This is already quite handy, but the real benefit is evident when one needs to generate a new plot with the same plot parameters (such as axis labels and title) but with new data:\n", "```python\n", "eplot.new_plot(x, 1/x, 'g-D', label='y = 1/x')\n", "```\n", "\n", "\n", "`EasyPlot` also provides an `iter_plot()` method that iterates through x, y data and plot parameters that are provided in a list or dictionary format to automatically generate an annotated, multi-line plot with a single statement:\n", "```python\n", "eplot = EasyPlot(xlabel=r'$x$', ylabel='$y$', fontsize=16,\n", " colorcycle=[\"#66c2a5\",\"#fc8d62\",\"#8da0cb\"], figsize=(8,5))\n", "eplot.iter_plot(x, y_dict, linestyle=linestyle_dict, marker=marker_dict,\n", " label=labels_dict, linewidth=3, ms=10, showlegend=True, grid='on')\n", "```\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Features\n", "[[back to section overview](#sections)]\n", "- Access to a large number of the most used matplotlib plot parameters under a unified wrapper class\n", "- Plot parameter aliases supported. Can be extended by user for arbitrary alias definitions for various plot parameters\n", "- Ability to use `EasyPlot` objects as templates to rapidly generate annotated plots of a similar type\n", "- `iter_plot()` method to easily iterate through x, y datasets and plot multiple plots with a single method call\n", "- Draggable legend when using GUI backends (eg: qt, wx, etc.)\n", "- Provides access to underlying figure, axes and line2D objects for advanced plot customization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Documentation\n", "[[back to section overview](#sections)]\n", "\n", "EasyPlot consists of an `EasyPlot` class to create `EasyPlot()` objects in order to generate matplotlib plots. The object constructor allows for passing all commonly used plot parameters (such as `xlabel`, `ylabel`, `title`, `markersize`, `linewidth`, etc.) and the `x`, `y` data and an optional format string as arguments in order to generate an annotated plot via a single statement such as:\n", "```python\n", "fftplot = EasyPlot(freq, amplitude, 'g-o', markersize=9, linewidth=3, xlabel='Frequency (Hz)',\n", " ylabel='Amplitude', label='FFT Data', showlegend=True)\n", "```\n", "If no `x`, `y` data is provided to the `EasyPlot` constuctor, creation of a figure and axes instance for the `EasyPlot` object is deferred and the plot parameters that are passed to the constructor are used to initialize the `EasyPlot` object. \n", "\n", "Apart from the usual plot parameters, `EasyPlot` constructor also takes the following special keyword arguments:\n", "\n", "`fig` : an optional reference to a figure object supplied by the user
\n", "`ax` : an optional reference to an axes object (linked to `fig`) to use for displaying the plots. The [subplots example](#subplots) demonstrates the use of `fig` and `ax` plot parameters for custom plotting routines
\n", "`figsize` : the size of the plot figure
\n", "`showlegend` : set to True or False to display the plot legend\n", "\n", "The `EasyPlot` object also retains state information of most plot parameters passed to it, thus allowing the object to be reused as a template for generating new plots with similar formatting/labeling. The only parameters whose values are not persistent are `color`, `marker`, `linestyle` and `label` as they are assumed to be unique to a single plot.\n", "\n", "`EasyPlot` objects also provide access to their `figure`, `axes` and `Line2D` instances via the `get_figure()`, `get_axes()` methods and `line_list` instance variable respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### EasyPlot instance methods\n", "The main instance methods for `EasyPlot` objects are:\n", "
\n", "`add_plot(*args, **kwargs)` : This is the main instance method to add additional plots and plot parameters to an existing plot. `*args` is a variable length argument, allowing for `x`, `y` pairs with an optional format string of the form `'b-o'`. The optional format string is a shorthand for specifying the plot color, linestyle and marker type. The [matplotlib docs](http://matplotlib.org/1.3.1/api/pyplot_api.html#matplotlib.pyplot.plot) provide more information regarding the format string notation. `**kwargs` are a list of named plot parameters as explained in the [next section](#plot_params).\n", "
\n", "`update_plot(**kwargs)` : Instance method to update plot parameters only (example: `xlabel`, `title`, etc.). This method is typically only useful when plotting interactively using an interactive matplotlib backend.\n", "
\n", "`new_plot(*args, **kwargs)` : Create a new plot using the plot parameters of the existing `EasyPlot` instance as a template (i.e., plot parameter settings carry over from the `EasyPlot` instance to the new plot)\n", "
\n", "`iter_plot(x, y, mode='dict', **kwargs)` : This method can be used to plot multiple line/scatter plots with a single statement as long as `x`, `y`, and any relevant plot parameters that change for each plot are passed in as either a dictionary with a common set of keys (`mode='dict'`) or a set of lists/arrays corresponding to each data set to be plotted (`mode='array'`).\n", "
\n", "`autoscale(enable=True, axis='both', tight=None)` : Set autoscale options for `x`, `y` or `both` axes\n", "
\n", "`grid(**kwargs)` : Equivalent to matplotlib axes.grid() method and accepts same set of keyword arguments. Enables more custom control over the plot grid.\n", "
\n", "`get_figure()` : Returns reference to the Figure object for the instance\n", "
\n", "`get_axes()` : Returns reference to the axes object for the instance\n", "
\n", "`redraw()` : Forces a redraw of the plot canvas. Must be used if custom modifications are made to the plot external to easyplot via direct access to the figure and axes handles. **Note: `redraw()` is only supported when plotting in interactive mode (i.e. `plt.isinteractive() == True`)**.\n", "
\n", "`set_fontsize(font_size)` : Modify global setting for plot font-size\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### EasyPlot instance variables\n", "The main instance variables for `EasyPlot` objects are:\n", "
\n", "`self.kwargs` : A dictionary containing a list of all existing plot parameters for an `EasyPlot` object. The user should not modify this directly. This variable should be accessed in a read-only fashion for the purposes of examining the state of an `EasyPlot` object.\n", "
\n", "`self.line_list` : A list of [`Line2D`](http://matplotlib.org/1.3.1/api/artist_api.html#matplotlib.lines.Line2D) items corresponding to all plots of the `EasyPlot` object. These can be manipulated using standard matplotlib methods outside of `easyplot` for [advaced plotting](#advanced_plotting)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### List of supported plot parameters\n", "```\n", "Plot Parameters:\n", "----------------\n", "fig : figure instance for drawing plots\n", "ax : axes instance for drawing plots (If user wants to supply axes,\n", " figure externally, both ax and fig must be supplied together)\n", "figSize : tuple of integers ~ width & height in inches\n", "label : Label for line plot as determined by *args, string\n", "color / c : Color of line plot, overrides format string in *args if\n", " supplied. Accepts any valid matplotlib color\n", "linewidth / lw : Plot linewidth\n", "linestyle / ls : Plot linestyle ['-','--','-.',':','None',' ','']\n", "marker : '+', 'o', '*', 's', 'D', ',', '.', '<', '>', '^', '1', '2'\n", "markerfacecolor / mfc : Face color of marker\n", "markeredgewidth / mew :\n", "markeredgecolor / mec : \n", "markersize / ms : Size of markers\n", "markevery / mev : Mark every Nth marker \n", " [None|integer|(startind, stride)]\n", "alpha : Opacity of line plot (0 - 1.0), default = 1.0\n", "title : Plot title, string\n", "xlabel : X-axis label, string\n", "ylabel : Y-axis label, string\n", "xlim : X-axis limits - tuple. eg: xlim=(0,10). Set to None for auto\n", "ylim : Y-axis limits - tuple. eg: ylim=(0,10). Set to None for auto\n", "xscale : Set x axis scale ['linear'|'log'|'symlog']\n", "yscale : Set y axis scale ['linear'|'log'|'symlog']\n", " Only supports basic xscale/yscale functionality. Use \n", " get_axes().set_xscale() if further customization is required\n", "grid : Display axes grid. ['on'|'off']. See grid() for more options\n", "colorcycle / cs: Set plot colorcycle to list of valid matplotlib\n", " colors\n", "fontsize : Global fontsize for all plots\n", "\n", "Legend Parameters:\n", "------------------\n", "showlegend : set to True to display legend\n", "fancybox : True by default. Enables rounded corners for legend box\n", "framealpha : Legend box opacity (0 - 1.0), default = 1.0\n", "loc : Location of legend box in plot, default = 'best'\n", "numpoints : number of markers in legend, default = 1.0\n", "ncol : number of columns for legend. default is 1\n", "markerscale : The relative size of legend markers vs. original. \n", " If None, use rc settings.\n", "mode : if mode is \u201cexpand\u201d, the legend will be horizontally \n", " expanded to fill the axes area (or bbox_to_anchor)\n", "bbox_to_anchor : The bbox that the legend will be anchored. Tuple of\n", " 2 or 4 floats\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##A note about interactive plotting mode in matplotlib\n", "It is strongly recommended that `EasyPlot` be used in a Python/IPython shell with interactive matplotlib plotting turned on (`matplotlib.pyplot.ion()` turns this on). This provides the maximum flexibility when plotting with `EasyPlot` and also makes it easier to learn and understand the use of this matplotlib wrapper. In the case of non-interactive plotting, the blocking nature of `plt.show()` prevents dynamic modification and further additions to an existing plot. This issue can be partially alleviated by the `plt.show(block=False)` method call (this is experimental in Matplotlib).\n", "\n", "Note that if non-interactive plotting is the default, the user must call `plt.show()` after setting up the plot as desired using `EasyPlot`. `add_plot()` method calls on the EasyPlot instance are not supported after the figure is closed in non-interactive mode, and the `redraw()` instance method is also not supported in this mode (user can call `plt.draw()` instead)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Usage and Examples\n", "[[back to section overview](#sections)]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Import modules and setup\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from easyplot import EasyPlot\n", "\n", "x = np.linspace(0, 10, 10)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "eplot = EasyPlot(x, x**2, 'g--o', label=r\"$y = x^2$\", showlegend=True, xlabel='x',\n", " ylabel='y', title='title', fontsize=14, markersize=10, alpha=0.6)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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1zapVqwSlUin8/e9/F/Ly8oTJkycLQUFBwq1bt2z25WQ5SUTUpNLqUuH/ff//hHM3zola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\nstdIscuhdpSdnY3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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Multiple plots in same figure (Interactive)\n", "[[back to section overview](#sections)]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Note the use of plot parameter aliases and the figsize parameter\n", "eplot = EasyPlot(x, x**2, label=r\"$y = x^2$\", figsize=(8,4), showlegend=True, \n", " ncol=2, ms=10, ls=':', markeredgewidth=1.5, xlabel='x',\n", " ylabel='y', title='title', color='b', marker='s')\n", "eplot.add_plot(x, 0.15*x**3, label='$y = 0.15x^3$', c='c', ls='-', marker='D')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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0Wi1nzpwhOTmZFi1a0KZNGyIiIli4cCFdunShY8eOLFiwAFdXV8aNGweAm5sb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\n6tSJp1q1uqfXKwq89hq8/z5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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Using EasyPlot object as template for new plots\n", "[[back to section overview](#sections)]\n", "\n", "The previous example defined an `EasyPlot` object `eplot` with various plot parameters set - `xlabel`, `ylabel`, `title`, `alpha`, `ncol`, `markersize` and `markeredgewidth` . We can examine the current set plot parameters for an `EasyPlot` object by accessing its `kwargs` instance variable" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Examine set plot parameters for eplot\n", "eplot.kwargs" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "{'ax': ,\n", " 'dpi': 80,\n", " 'fancybox': True,\n", " 'fig': ,\n", " 'figsize': (8, 4),\n", " 'loc': 'best',\n", " 'markeredgewidth': 1.5,\n", " 'markersize': 10,\n", " 'ncol': 2,\n", " 'numpoints': 1,\n", " 'showlegend': True,\n", " 'title': 'title',\n", " 'xlabel': 'x',\n", " 'ylabel': 'y'}" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that certain plot parameters such as `linestyle`, `marker`, `label` and `color` are considered **unique parameters** and do not carry over from one plot to another as they are typically unique to a specific plot. \n", "\n", "It is easy to use `eplot` as a template to generate a new plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "eplot.new_plot(x, 1/(1+x), '-s', label=r\"$y = \\frac{1}{1+x}$\", c='#fdb462')\n", "# Note that the plot reuses the axis labels, title and marker \n", "# formatting from the previous eplot template" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Autoscaling plots\n", "EasyPlot objects have an `autoscale()` instance method that can be called on the instance to reset the `xlim` and `ylim` properties to `None` and autoscale the axes. The method signature is listed below along with the default parameter values.\n", "```python\n", "def autoscale(self, enable=True, axis='both', tight=None):\n", " \"\"\"Autoscale the axis view to the data (toggle).\n", "\n", " Convenience method for simple axis view autoscaling. It turns \n", " autoscaling on or off, and then, if autoscaling for either axis is on,\n", " it performs the autoscaling on the specified axis or axes.\n", "\n", " Arguments\n", " =========\n", " enable: [True | False | None]\n", " axis: ['x' | 'y' | 'both']\n", " tight: [True | False | None]\n", " \"\"\"\n", "``` " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting background grid\n", "[[back to section overview](#sections)]\n", "\n", "easyplot provides two ways to display the background grid for the axes. \n", "- To display a simple grid without any custom formatting, the plot parameter `grid='on'` can be passed to the easyplot object. Setting `grid='off'` turns the grid off." ] }, { "cell_type": "code", "collapsed": false, "input": [ "eplot.new_plot(x, 1/(1+x), '-s', label=r\"$y = \\frac{1}{1+x}$\", c='#fdb462', grid='on')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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g4eGBgoICi/UFBQUICwurdZv09HTs3LkTixYtAmCa3c5oNMLLywspKSn4wx/+\nUGObqVOnIjIyEgAQFBQEvV5v7n1Wjz+55fKwl5D+7gtA6pcYMeM1CL/WjdqfwWDAnDlztP99XHi5\nep2jxOOqy0lJSfz7oPAy/14o8/chIyMDubm5aApVb/UbNGgQ+vbtizVr1pjXdevWDePGjcOSJUtq\ntM/OtjxV/dlnn2HJkiXYu3cvwsPDERQUZPFzd77VzxpSGoGcHZA5/4HoPRkitJ/N+8jIyDB/GEkZ\nzLE6mGflMcfKc4rpfbdu3YrJkycjOTkZsbGxePvtt7Fu3TocPnwYERERSExMxN69e/H111/Xuv36\n9evx7LPP8j7/JpJXciD3rwGC+0DcNR7Cw0vrkIiIqBEaW/dUHfMfP348Ll26hFdffRXnz59H7969\nsX37dkRERAAA8vPzkZNT//3pvM+/6UTLTqYnBB7aALlnCRA9EyIwVOuwiIhIJXywjxuTUgJnd0Ie\n+xTirvFAu9gGO1c8jac85lgdzLPymGPlOcWRPzkWIQTQYTjQsrPpCYGF2cDd/wfC00/r0IiISEE8\n8icAgKwsgzy8Gbh8DCL6jxAtOmodEhERNcApLvhTGot/08m8HyAPb4LoMgaIvI/XWBAROTCneLAP\nOT4RPtA0NfAv35meD1B+zeLnt99rSspgjtXBPCuPOXZcLP5Ug/BvCxH7PBAYapoa+NIxrUMiIiI7\n4ml/qpe8cAjy4DqIjnFAlzEQgv1FIiJHwTF/sPgrRZZegTT8P0BKiOinIHxbah0SERGBY/6kIOHb\nEuKev0K0uQvpq5+CLDigdUgujeOk6mCelcccOy7e509WEUIHdH0Iomsx5OEPIC8dhegxFkLHjxAR\nkbPhaX+ymSy/BnlwHVBahLkfnsWBwz9btZ1er0dSUpLC0RERuQ/O8EeqEd6BQP8/A7lpOLDrSRhO\nXoQ+qlW92xhOXVYpOiIiagiLP9mkeq5uIQQQdR/QrD30UZVIe+2Bercb+fx2lSJ0fpwPXR3Ms/KY\nY8fFC/6oaTx9tY6AiIhsxOJPNmEvXnnMsTqYZ+Uxx46LxZ+IiMjNsPiTTZp036402i0OV8Z7o9XB\nPCuPOXZcLP6knisnYdz/v5AXDkIaK7SOhojIbfFqf7JJk8bwWnaCaNkF8sQ24MC7kGEDINoNBoKi\n+Ojg23CcVB3Ms/KYY8fF4k/qER4QkSMhIkdCXr8A5H0PecD0zADZbhBEu0EQASFaR0lE5PJY/Mkm\ntd23aziawMpdAAAWJUlEQVR1ucH7+A2nLkPf+tayCAgGuj4EdBkDFJ+G/CULMus1SL/WEOGDgfAB\nED7NFfgNHB/vjVYH86w85thxsfhTk+j1euvata69rRACCIqECIqEvGs8cOkI5C9ZwM//hGzZBaLd\nICAkGsLTx96hExG5Lc7tTw5JVpQBBfshf/kOuHICCOlruj6g9V0QOg+twyMicgiNrXss/uTwZNlV\nIG8vZF4WUHIJCBto6gi06MgLBYnIrTW27vFWP7KJFvftCp/mEFH3QTdkAcTg5wEvf8j9ayAzX4Q8\n/m/IGxdVj0lJvDdaHcyz8phjx8Uxf3IqIiAEotsjkF0fBopOma4P2L0E0j/YdH1A+AAI72Zah0lE\n5NB42p+cnjRWAIXZpusDLhwEWnWrulCwL4QHLxQkItfFMX+w+BMgK0qA/KoLBYtOAaH6qgsFe0CI\nuke55syZA4PBYNV76PV6JCUl2StkIqJGa2zd42l/somj37crPP2A9rEQ7WMhS4uA83shj34MlBZB\nht9jOiPQvEONCwUNBgMMP2ZBH9Wq3v0bTl1WMnwAjp9jV8E8K485dlws/uSyhG8QEHU/RNT9kNfO\nQ/7yHeR/kwEPb6DdICD8Hgj/Nub2+qhWSHvtgXr32dBkRkREzoCn/cmtSCmBKydMwwLnfwSahUGE\nD8KIKf8DXD5hXfFv3Z1XMRORQ+BpfyIrCCGAVl0hWnWF7DUBuPhT1URCOVqHRkSkGt7nTzZxpSNe\nofOECNFD128m0LKz1uGYuVKOHRnzrDzm2HGx+BMBQD13AhARuRqe9ieb8MpdAJePw5j1OtCyE0SL\nKCAoCvBtabephpljdTDPymOOHZcmhzvJycmIioqCn58fYmJisGvXrjrbZmRk4JFHHkF4eDgCAgLQ\nt29frFu3TsVoie7QshNElwcgPLwhz+2C3LUI8pu/wvjjPyBPbIMszIa8eUPrKImI6qR68d+yZQvm\nzJmDBQsWwGAwIDY2FqNHj8bZs2drbZ+VlYW+ffvik08+weHDhzFr1iw8/fTT+PDDD1WOnACO4QEA\nhAdE27shuj4M3YDZEKOSIGITIcIHQpZfg/z5X5DfzIMxcwGMB9ZC5qZBFuWaZiK0AnOsDuZZecyx\n41L9tP/KlSsxbdo0zJgxAwDw1ltv4auvvkJKSgqWLl1ao31iYqLF8syZM5Geno5PPvkEEyZMUCVm\ncg+GU5cbvI/fcOoy9K0t1wkhAP+2gH9biPCBAKqmHP41Dyg+BVl0CjiTAdy4CNmsPRAUBRHUyTRc\n4B/MJxMSkepULf7l5eXYt28fnnvuOYv18fHx2LNnj9X7KS4uRocOHewdHlnBVcfw9Hq9de1aW9dW\n6DyBFh2AFh0gOgwHUDX1cPEZ0wOJ8vcBRz8BKssgg0zXDZiuH+jU6BxzimLbuOpn2ZEwx45L1eJf\nWFiIyspKhISEWKwPDg5Gfn6+Vfv44osvkJaWZlNngaghahRC4ekHtO4OtO6O6mN9WVoEFOdCXsmB\nzP3a1DHwCqg6O2DqDKBFB6seUORIUxQTkWNzqqv9d+/ejUmTJmHVqlWIiYmptc3UqVMRGRkJAAgK\nCoJerzf3PqvHn7jc+GWDwYA5c+Y4TDyusixC9MjIyID0jgZKixAXHIr01G3Ata2I6+oNGRCCjONl\nEAFhiHvgMSAwHJmZOy32V1RUhMi2AeZZCjMOnjf9vE+YxfIrm/Zr/vs6wnJSUhL/Pii8zL8X9l+u\n/j43NxdNoer0vuXl5QgICMDmzZsxduxY8/pnnnkG2dnZSE9Pr3PbXbt24cEHH8TixYvxl7/8pdY2\nnN5XeRl8UIfi7syxrLwJXD1rOitQnGN6WmFZMdC8o8UZghGjHwMuHeMUxVbiZ1l5zLHynGJ6X29v\nb/Tv3x87duywKP6pqakYN25cndvt3LkTY8aMwSuvvFJn4Sd18D+y8u7MsfDwAlp2Mt1iiPsAALL8\nGlCca+oQnNsD/LQRuHJS/WCdGD/LymOOHZfqp/0TEhIwefJkDBw4ELGxsXj77beRn5+PmTNnAjBd\n3b937158/fXXAEw9xwcffBB//vOfMWHCBPO1AR4eHmjbtq3a4RM5BOEdCLS9G2h7NwSqHljU4gc+\no4CIrKL6ff7jx49HUlISXn31VURHR2PPnj3Yvn07IiIiAAD5+fnIybn1B2zDhg0oLS3FihUrEBYW\nhvDwcISHh+Oee+5RO3QC79tVQ2NyLIQAdF7Wb3D5OIzfLoTxv8kwHv0Y8sxOyEtHIUsuQ0qjze/v\njPhZVh5z7Lg0ueBv1qxZmDVrVq0/u3P2vnXr1nFGPyJ7a9kZos9U4PoF4PoFyCsngHN7gBsXgJsl\nkP5tgIBg0zwEVV8REAz4tYZQ+DkIvGWRSHlOdbU/aY9jeMpTJcdCB9EiEmgRaVq87UeyohS4cdHU\nMbhxAbL4DHD+R9Ny+VVIv9bmzoDwDwEC2pqW/duY5jdoIrVuWeRnWXnMseNi8SciC8LTF2geYXrh\njo5B5U1Tx+BG1RmD6+eBCwdMy6VXIH2CLM8YBITcmv3Qw9vqGPRRray7a4GIGoXFn2zCW3eU15Qc\nN3aKYmsJDy+gWbjphTs6BsYKoOTSrTMG1y8Al46alksKIb2b3TpjUD2U4B8MBLQ1TYCkMn6Wlccc\nOy4WfyIXYe8pim0ldJ6mI/0A0wyeFh0DaQRKLt86Y3DjgunOhBsXgOsXIb18b11XUHLJ7rERkSVV\nJ/lRGif5IXI+UhpNkxZVnTEYMXYmUHLZutP+QZFI/2YH4BXoUA9I4kWLpBanmOSHiOhOQugA35am\nV+vupmsESqy8mO/XPMiMF4DKckif5oBPkOnl2wKi6qtpuWq9d4DidysAfM4COT4Wf7IJx/CUxxzb\nICgKuvhVpgsRy4qA0mLzV1lWBFz+2WIdKkpMnQTfIGT8dAFxsQMgfG91GMxfvZs1uZPAixb5WXZk\nLP5E5PSEh5f5rgLzulramToJps6AyP8Golk705MVrxw3rS8tMnUUblZ1EnxaVJ01aFHVSbjjTIJP\n0zsJjozDF66LxZ9swl688phj5Zg6CW0A/zYYMbaLaV0t7aSxoqozUH3WoAiyrNh0kWLZbWcSbl6H\n9A681Rmo7iCUFan7iymkqcMX/Cw7LhZ/InI4St+y2BCh8wT8Wpte1etqaWfqJFy1GHKQpcVARan1\nb1Z6BfJcFuAdCHgHAF6Bpu89/RziIkYOX7gmFn+yCcfwlOfuOVbrlkV75NnUSWhlelWvA4CAJFNn\nwBqVNyEvHgJuXgfKr5leN6+bLmL08q/qDASYOgRepq/C646Owm3f22OWRXtxlM8yhy9qcpxPCRER\n4BZ/eC0EBEMX/XSN1dJYUdUhuA7cvHZbx+AaZPl14HpB1frrt329DqnzrOooVHcamtXsNNz+c69A\nwNPXIc4yKIV3X9TE4k82cYRevKtjjtXh6HkWOs+qCwxb1PxZHdtIKYGKkppnEcqvQd68Bnk9Hyiq\n7kjc1qkwVkCazx7cdkbhxsUm/Q6OlGMOX1hi8ScichFCCMDL3/S67c4HoO4OA1B1F8TN284gVJ1h\ngPCw/s2Lc2HMeh3w9AW8/ABPf9MZBfP3flU/q/rey8+8zpXvmLAXW4YurMHiTzZxlDE8V8Ycq0Pp\nPGt90aIthIcX4FF1t8Lt/FpZf/QfEArR7WHgZknV2YcSZOz+AcP7dwFuFAI3b5guhKwoqfq+pGq5\nFNLTp6oj4HdHx8D0vfCs6kB4+Vatv/N7P4e61kEJ1g5dWMu1s0VEpAGtn7OgCU9fiNY9LFaJ0x7Q\n3RVX72ZSGm91Cqo6DRZfK0ogb5YAZfl3tLlR9dW0rRTC3BEwn2WoXr5+QcFfXD21DV14jHm3Ufti\n8Seb8IhUecyxOpTMs9tdtFgHa3IshO7WUEVdbRrYh5QSMJbf1hm4YdF5gIeX9UFfOgbjV38CPH0A\nD1/Aw9vUkfDwqbFOePqY1nv43NHmtrbVX3WeDnVRJYs/ERHVyRmGL4QQt4pwbXxbWn/037o7xKj/\nC1SUAZVlt30tNX01ryuFrCgHbl6ptw0qyk1fjZWQ9XYQbnUiRG1tbt6wX8LA4k824ni08phjdTDP\nDWvq8IWz5lhUX2/QUDsb9imNFUBl+R0dgzs7CqZlWVEGlF+99fPKMrs/6prFn4iIasXhC/sROk9A\n51nv8Ia5bW0rm/8TuHTMbvGw+JNNnLEX72yYY3Uwz8pzpBw7w/CFmlj8iYjIpbnl3RcNYPEnmzjr\nGJ4zYY7VwTwrz1FyzOGLmlj8iYiInIA1QxfWElJKaZc9OQAhBFzo1yEiIgJQ9/S+mZmZjap7LP5E\nREROqrF1j09TIJtkZGRoHYLLY47VwTwrjzl2XCz+REREboan/YmIiJwUT/sTERGRVVj8ySYcw1Me\nc6wO5ll5zLHjYvEnIiJyMxzzJyIiclJOM+afnJyMqKgo+Pn5ISYmBrt27aq3/aFDhzB8+HD4+/uj\nffv2WLx4sUqREhERuSZVi/+WLVswZ84cLFiwAAaDAbGxsRg9ejTOnj1ba/urV6/i/vvvR1hYGH78\n8Ue8+eabWLFiBVauXKlm2HQbjuEpjzlWB/OsPObYcala/FeuXIlp06ZhxowZ6N69O9566y2EhYUh\nJSWl1vYbN25EaWkpNmzYgJ49e2Ls2LGYP38+i7+GaptekuyLOVYH86w85thxqVb8y8vLsW/fPsTH\nx1usj4+Px549e2rdJisrC8OGDYOPj49F+7y8PJw+fVrReKl2RUVFWofg8phjdTDPymOOHZdqxb+w\nsBCVlZUICQmxWB8cHIz8/Pxat8nPz6/Rvnq5rm2IiIiofg59q58QQusQ6A65ublah+DymGN1MM/K\nY44dl6dab9SmTRt4eHigoKDAYn1BQQHCwsJq3SY0NLTGEX719qGhoTXad+7cmR0GFWzYsEHrEFwe\nc6wO5ll5zLGyOnfu3KjtVCv+3t7e6N+/P3bs2IGxY8ea16empmLcuHG1bjN48GDMnz8fZWVl5nH/\n1NRUtGvXDh07dqzR/sSJE8oET0RE5EJUPe2fkJCA9evXY+3atThy5Ahmz56N/Px8zJw5EwCQmJiI\nUaNGmdtPnDgR/v7+mDp1Kg4fPoxPP/0Uy5cvR0JCgpphExERuRTVjvwBYPz48bh06RJeffVVnD9/\nHr1798b27dsREREBwHQRX05Ojrl98+bNkZqaimeeeQYxMTFo1aoV5s2bh7lz56oZNhERkUtxqel9\niYiIqGEOfbW/tWydMphss2zZMgwYMAAtWrRAcHAwHn74YRw+fFjrsFzasmXLoNPp8Oyzz2odiks5\nf/48nnzySQQHB8PPzw+9evXCzp07tQ7LZVRUVOCFF15Ap06d4Ofnh06dOuF//ud/UFlZqXVoTm3n\nzp14+OGH0b59e+h0ulovoly4cCHatWsHf39/jBgxAtnZ2fXu0+mLv61TBpPtMjMz8ec//xlZWVlI\nS0uDp6cnRo0ahStXrmgdmkv67rvv8M4776BPnz68e8WOioqKMGTIEAghsH37dhw9ehT/+Mc/EBwc\nrHVoLmPp0qVYs2YNVq1ahWPHjuHNN99EcnIyli1bpnVoTu369evo06cP3nzzTfj5+dX4u7B8+XKs\nXLkS//jHP7B3714EBwfj/vvvx7Vr1+reqXRyAwcOlE8//bTFuq5du8rExESNInJ9165dkx4eHvKL\nL77QOhSXU1RUJDt37iwzMjJkXFycfPbZZ7UOyWUkJibKoUOHah2GSxszZoycOnWqxbopU6bIhx56\nSKOIXE9gYKDcsGGDedloNMrQ0FC5dOlS87qSkhLZrFkzuWbNmjr349RH/o2ZMpia7urVqzAajWjZ\nsqXWobicp59+GuPGjcPw4cP5eGo7++yzzzBw4EA8/vjjCAkJQXR0NFavXq11WC5l9OjRSEtLw7Fj\nxwAA2dnZSE9PxwMPPKBxZK7r1KlTKCgosKiDvr6+uPfee+utg6pe7W9vjZkymJpu9uzZiI6OxuDB\ng7UOxaW88847yMnJwaZNmwBwhkt7y8nJQXJyMhISEvDCCy9g//795msqnnnmGY2jcw1/+tOfcO7c\nOdx1113w9PRERUUFFixYYL6dm+yvutbVVgfz8vLq3M6piz+pLyEhAXv27MGuXbtYnOzo2LFjePHF\nF7Fr1y54eHgAAKSUPPq3I6PRiIEDB2LJkiUAgL59++L48eNYvXo1i7+dvPXWW1i3bh02b96MXr16\nYf/+/Zg9ezYiIyMxffp0rcNzO/X9jXbq4t+YKYOp8ebOnYutW7ciPT0dkZGRWofjUrKyslBYWIhe\nvXqZ11VWVuLbb7/FmjVrcP36dXh5eWkYofMLDw9Hz549Ldb16NEDZ86c0Sgi17NkyRIsWLAA48eP\nBwD06tULp0+fxrJly1j8FVI91X1BQQHat29vXl9QUFDrNPjVnHrM//Ypg2+XmpqK2NhYjaJyTbNn\nz8aWLVuQlpaGbt26aR2Oy/nd736Hn376CQcOHMCBAwdgMBgQExODCRMmwGAwsPDbwZAhQ3D06FGL\ndT///DM7snYkpYROZ1lWdDodz2ApKCoqCqGhoRZ1sLS0FLt27aq3Djr1kT9gOg09efJkDBw4ELGx\nsXj77bctpgympnvmmWfwwQcf4LPPPkOLFi3MY0zNmjVDQECAxtG5hhYtWqBFixYW6/z9/dGyZcsa\nR6vUOHPnzkVsbCyWLl2K8ePHY//+/Vi1ahVvQ7OjRx99FK+99hqioqLQs2dP7N+/H2+88QaefPJJ\nrUNzatevX8fx48cBmIavTp8+DYPBgNatWyMiIgJz5szB0qVL0aNHD3Tt2hWvvvoqmjVrhokTJ9a9\nU6VuR1BTcnKyjIyMlD4+PjImJkZ+++23WofkUoQQUqfTSSGExWvRokVah+bSeKuf/W3btk327dtX\n+vr6yu7du8tVq1ZpHZJLuXbtmvzrX/8qIyMjpZ+fn+zUqZN88cUXZVlZmdahObX09HTz393b/xZP\nmzbN3GbhwoUyLCxM+vr6yri4OHn48OF698npfYmIiNyMU4/5ExERke1Y/ImIiNwMiz8REZGbYfEn\nIiJyMyz+REREbobFn4iIyM2w+BMREbkZFn8iIiI3w+JPRETkZlj8iYiI3AyLPxHZ7OLFiwgLC8Mr\nr7xiXnfw4EH4+vrik08+0TAyIrIG5/YnokbZsWMHHnroIWRmZqJv376IiYnBoEGDsHbtWq1DI6IG\nsPgTUaPNnTsX//rXv3Dvvfdi9+7dMBgM8Pf31zosImoAiz8RNVp5eTn69OmDEydOICsrCwMGDNA6\nJCKyAsf8iajRTp06hbNnz0Kn0+HkyZNah0NEVuKRPxE1ys2bNzFo0CD06NEDAwcOxKJFi3DgwAFE\nRERoHRoRNYDFn4ga5fnnn8fmzZtx8OBBNG/eHKNHj0ZpaSnS0tIghNA6PCKqB0/7E5HNMjMzsXLl\nSrz33nto3rw5AGD9+vXIzs7G66+/rnF0RNQQHvkTERG5GR75ExERuRkWfyIiIjfD4k9ERORmWPyJ\niIjcDIs/ERGRm2HxJyIicjMs/kRERG6GxZ+IiMjNsPgTERG5mf8PQBhcWDlLiEgAAAAASUVORK5C\nYII=\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "- For more advanced control of the grid, the easyplot `grid()` instance method is provided with a call signature of `grid(self, b=None, which='major', axis='both', **kwargs)` where `**kwargs` are passed to linespec of grid lines (eg: linewidth=2)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "eplot.new_plot(x, 1/(1+x), '-s', label=r\"$y = \\frac{1}{1+x}$\", c='#fdb462')\n", "eplot.grid(which='major', axis='x', linewidth=2, linestyle='--', color='b', alpha=0.5)\n", "eplot.grid(which='major', axis='y', linewidth=2, linestyle='-', color='0.85', alpha=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Log/Linear/Symlog plots\n", "[[back to section overview](#sections)]\n", "\n", "Plot parameters `xscale` and `yscale` can be passed to easyplot instances with any of the following values: `['linear'|'log'|'symlog']`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "eplot.new_plot(x, 1/(1+x), '-s', label=r\"$y = \\frac{1}{1+x}$\", c='#fdb462', yscale='log')\n", "eplot.grid(which='minor', axis='both')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Modifying Plot color cycle\n", "[[back to section overview](#sections)]\n", "\n", "easyplot provides the `colorcycle` plot parameter to specify the plot color cycle. If the `colorcycle` parameter is passed with every `add_plot` command, it will result in all plots using the first color of `colorcycle`. To avoid this, the `EasyPlot` object should be initialized with the `colorcycle` and other plot parameters without passing any x, y data as shown below. Subsequently, plots can be added using the `add_plot()` method." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Setup\n", "colors = [\"#66c2a5\",\"#fc8d62\",\"#8da0cb\",\"#e78ac3\",\"#a6d854\",\"#ffd92f\",\"#e5c494\",\"#b3b3b3\"]\n", "x = np.linspace(0,10,200)\n", "\n", "# Demo of color cycle\n", "# Note the use of EasyPlot constructor with no x,y data to initialize colorcycle prior to\n", "# adding plots to the figure\n", "sinplot = EasyPlot(xlabel=r'$\\sin (3\\pi x/L)$', ylabel='$Amplitude$', fontsize=16, colorcycle=colors,\n", " figsize=(10,5), linewidth=3)\n", "\n", "for index in range(8):\n", " sinplot.add_plot(x, np.sin(3*np.pi*x/10 + index*np.pi/7))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YflPcjUEAyXOGJbZvUpxyNHqsdXA+VbV9cf07F0Lh9OD/cMZxAq8c/vHXoSOl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\ntLm8HDxWz8FjgUisLEvsKajhjQ8KkWUJCfD5FRxOL20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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Multiple plots in same figure iteratively using iter_plot\n", "[[back to section overview](#sections)]\n", "\n", "The `EasyPlot` class has a very useful `iter_plot()` method to iterate through `x`, `y` data stored in dictionaries or 2D arrays and plot them in a figure using a single method call to `iter_plot`. The method signature of `iter_plot` is as follows:\n", "``` python\n", "def iter_plot(self, x, y, mode='dict', **kwargs):\n", " \"\"\"\n", " Plot multiple plots by iterating through x, y and parameter lists\n", "\n", " Arguments:\n", " ==========\n", " x : x values. 1D List/Array, Dictionary or Numpy 2D Array\n", " y : y values. Dictionary or 2D Python array (List of Lists where each\n", " sub-list is one set of y-data) or Numpy 2D Array\n", " mode : y, labels and other parameters should either be a Dictionary\n", " or a 2D Numpy array/2D List where each row corresponds to a \n", " single plot ['dict'|'array']\n", " **kwargs : Plot params as defined in __init__ documentation.\n", " Params can either be:\n", " scalars (same value applied to all plots),\n", " dictionaries (mode='dict', key[val] value applies to each plot)\n", " 1D Lists/1D Numpy Arrays (mode='array', param[index] applies to each\n", " plot)\n", " \"\"\"\n", "```\n", "The examples below demonstrate the use of `iter_plot` to generate multiple plots from a dataset using both `mode` settings, i.e., `mode='dict'` and `mode='array'`. Note that single value plot parameters that are passed to `iter_plot` (such as `linewidth`) are broadcast and applied to all plots in the figure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Setup the x, y data and plot parameters for both modes\n", "x = np.linspace(0, 10, 11)\n", "dict_keys = ['x2', 'x3', 'x4']\n", "labels_list = ['$y = x^2$', '$y = 0.1x^3$', '$y = 0.01x^4$']\n", "markers_list = ['s', 'o', 'D']\n", "linestyle_list = ['-', '--', ':']\n", "\n", "y_dict, marker_dict, labels_dict, linestyle_dict = {}, {}, {}, {}\n", "x_list, y_list = [], [] # List of x and y data sets for mode='array'\n", "\n", "# Populate dict and list variables with data set\n", "for ind, key in enumerate(dict_keys):\n", " marker_dict[key] = markers_list[ind]\n", " labels_dict[key] = labels_list[ind]\n", " linestyle_dict[key] = linestyle_list[ind]\n", " y_dict[key] = (0.1**ind)*x**(ind+2)\n", " y_list.append((0.1**ind)*x**(ind+2)) \n", " x_list.append(x)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Demonstrate iter_plot using mode='dict'\n", "eplot = EasyPlot(xlabel=r'$x$', ylabel='$y$', fontsize=16,\n", " colorcycle=[\"#66c2a5\",\"#fc8d62\",\"#8da0cb\"], figsize=(8,5))\n", "eplot.iter_plot(x, y_dict, linestyle=linestyle_dict, marker=marker_dict,\n", " label=labels_dict, linewidth=3, ms=10, showlegend=True, grid='on')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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H0s7wSdwuihU9bg296eT/NI1TDvLj528w+vH/VLt82Sq6CnmEqCq5v4QQphKddoZP/w4Q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\nDTNrgFBeGyvXMtD/uAjSUtF/Pw8lOb7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sNJd/nqIoXDW+Dx9vPIxBryM2MsiRnJhMJpYv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\nVVUdS0YLiqrJ2FvAzdMGAZCSYGLbzuPUNzQ5hhF+PX3wBbHEVAhPIHM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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# Demonstrate iter_plot using mode='array'. Both x_list and y_list are 2D arrays\n", "eplot = EasyPlot(xlabel=r'$x$', ylabel='$y$', fontsize=16, \n", " colorcycle=[\"#66c2a5\",\"#fc8d62\",\"#8da0cb\"], figsize=(8,5))\n", "eplot.iter_plot(x_list, y_list, mode='array', linestyle=linestyle_list, marker=markers_list, \n", " label=labels_list, linewidth=3, ms=10, showlegend=True, grid='on')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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H0s7wSdwuihU9bg296eT/NI1TDvLj528w+vH/VLt82Sq6CnmEqCq5v4QQphKddoZP/w4Q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\nDTNrgFBeGyvXMtD/uAjSUtF/Pw8lOb7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sNJd/nqIoXDW+Dx9vPIxBryM2MsiRnJhMJpYv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\nVVUdS0YLiqrJ2FvAzdMGAZCSYGLbzuPUNzQ5hhF+PX3wBbHEVAhPIHM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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Advanced plotting\n", "[[back to section overview](#sections)]\n", "\n", "`EasyPlot` objects provide access to their `figure` and `axes` objects via the `get_figure()` and `get_axes()` methods. These methods can be used in conjunction with regular object oriented matplotlib plotting methods (for example the set and get methods on the axes object) to build more complex and elaborate plots as shown in the examples below. The `line_list` instance variable can also be accessed to obtain a list of [`Line2D`](http://matplotlib.org/1.3.1/api/artist_api.html#matplotlib.lines.Line2D) items corresponding to the plots in the figure. These can also then be manipulated using standard matplotlib methods. **When plotting interactively, the `redraw()` method must be called on the easyplot object after any manipulation of the axes and figure objects in order to update the plot display with the latest changes.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Using easyplot with subplots\n", "[[back to section overview](#sections)]\n", "\n", "To create figures with subplots while taking advantage of an easyplot instance, the axes and figure can be created by the user using `pyplot.subplots`, `gridspec` or other common methods. The reference to the figure and and one of the subplot axes can be passed to the easyplot instance method - `new_plot()` to obtain the desired results as demonstrated below. The example below reuses the `sinplot` object from [this example](#colorcycle) as a template to easily generate new plots with desired axis labels and plot parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Reuses sinplot template from one of the previous examples for labels, linewidth and fontsize\n", "x = np.linspace(0, 10, 200)\n", "fig, axes = plt.subplots(2, 1, figsize=(10,6)) # Create fig and axes for subplots externally\n", "\n", "# Supply fig and axes instance to EasyPlot object\n", "sinplot.new_plot(x, np.sin(3*np.pi*x/10 + np.pi/8), fig=fig, ax=axes[0], color=\"#fc8d62\") \n", "sinplot.new_plot(x, np.sin(3*np.pi*x/10 + 9*np.pi/8), fig=fig, ax=axes[1], color=\"#66c2a5\")\n", "fig.set_tight_layout(True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8ayAtSQlY20EaPAWimqe6iTFWQVDCechr5wD5jfhda0Aa8gGEvYO6iTGmB0qv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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "# Another example\n", "fig, axes = plt.subplots(figsize=(9,9), nrows=2, ncols=2) # Create fig and axes\n", "\n", "# Setup EasyPlot object with common plot parameters\n", "eplot = EasyPlot(xlabel='x', ylabel='y(x)', title='Plot title', fs=14, lw=3)\n", "\n", "# Loop through subplot axes and use eplot template to create new plots\n", "for (x_ind,y_ind), ax in np.ndenumerate(axes):\n", " eplot.new_plot(x, x**(x_ind+y_ind-1), fig=fig, ax=ax, c=\"#8da0cb\") \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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792PIkCF4/vnnERQUhOeffx4FBQXWLqFJ1dyCR0RNsOfeRUTUkg47uESv12Pr\n1q346quv4OrqikmTJuHMmTMYNGgQli5d2lFlmKkxcQseETXPHnsXEVFLrHoWbVVVFbZu3Yq///3v\n0Ol0iIqKwsyZMzF16lR4e3sDAL788ktMnz4dv/76q7XKMFP/LNrOPu54dtJdHfK+RNQ+OuLMUHvs\nXW3Bs2iJHJ9dnkUbHBwMk8mEp59+GmlpaRg0aFCDMSNGjECXLl2sWUaTeAweETXG3nsXEVFLrBrw\nli9fjilTpkCj0TQ5pmvXrjh9+rQ1y2gSz6IlosbYe+8iImqJVXfR2qP6u2hd1SrMfjrKxhURUWtw\nt6Pl+FkROb62fo+d+gqeNSY2PiIiIlIepw54JpOAiSGPiIiIFMYpA57a5eZq81IpREREpDROGfBc\nXCT5OU+0ICIiIqVxyoBXfwteNS+VQkRERArjlAHPRcUteERERKRczhnweAweERERKZhTBjx1vWPw\nqrkFj4iIiBTGKQOe2RY8HoNHRERECuOkAY9b8IiIiEi5nDLgqVXcgkdERETK5ZQBj9fBIyIiIiVz\nyoBndh08nkVLRERECuOUAY9b8IiIiEjJnDTg8U4WREREpFzOGfDM7mTBgEdERETK4pQBT212HTzu\noiUiIiJlccqAZ34dPG7BIyIiImVxyoBntgXPxC14REREpCxOGfB4kgUREREpmZMGPF4mhYiIiJTL\nKQOe+UkW3IJHRNazZs0ahIeHw8PDA9HR0cjNzW12/KZNm3DPPffAy8sLvXr1Qnp6eoMxGzZswN13\n3w0vLy8EBQVh2rRpMBqN1loFInJAThnw6l8mpZpb8IjISj777DPMnTsXCxcuRH5+PmJjYzFhwgSc\nPXu20fHbtm3D008/jRdeeAGHDh3CmjVr8L//+79YvXq1PCYnJwcJCQmYMWMGCgoK8MUXX+Dw4cN4\n+umnO2q1iMgBSEIIp0o4kiThSOFF/GtXIQAgoldXPDKqj42rIiJLSZIER2lb9957L+655x6sXbtW\nnhYREYEnnngCS5YsaTA+Pj4elZWV2Lx5szxt1apVeOedd3DmzBkAQHp6OlatWoXTp0/LY9atW4eX\nX34Z//3vf82W50ifFRE1rq3fY+fcgsdj8IjIyqqqqvDTTz8hLi7ObHpcXBz27NnT5Dzu7u5m0zQa\nDc6dOycHvLFjx6KkpARfffUVhBC4cOECNm7ciIcfftg6K0JEDslJAx7PoiUi67pw4QJqamoQEBBg\nNt3f3x8C1jOVAAAgAElEQVQGg6HRecaNG4etW7dCp9PBZDLh2LFjWLZsGQCguLgYAHD33Xfjo48+\nwtSpU+Hu7g5/f38AwPr16623MkTkcNS2LsAW1PUvdFzNgEdE9mHmzJk4efIkfvOb3+D69evo3Lkz\nXn75ZaSkpEClqv3D9Pvvv0dCQgJSUlIwbtw46PV6/OEPf8Dzzz+PzMzMBstMSUmRn2u1Wmi12g5a\nGyJqi+zsbGRnZ9/2cpzyGDzDhVJ8/NVhAIBfVw9Mmxhp46qIyFKOclxZVVUVvLy8sHHjRjz++OPy\n9FmzZqGgoABZWVlNziuEgMFggJ+fH3Q6HR5++GGUlJTA19cXTz75JKqrq82O09u9ezdGjBiBc+fO\nITg4WJ7uKJ8VETWNx+C1grvbzQ2XlddrbFgJESmVm5sbhgwZgh07dphN1+l0iI2NbXZeSZIQFBQE\ntVqNTz/9FLGxsfD19QVQG/7qtubVqfvdZOIeCSKq5ZS7aN1dXeTnlVUMeERkHfPnz8e0adMwdOhQ\nxMbG4i9/+QsMBgNeeOEFAEBSUhLy8vLw7bffAgAuXryITZs2QavVorKyEuvWrcPmzZuRk5MjL/O3\nv/0tEhIS8Je//AVxcXEoLi7G3LlzMWTIEISGhtpkPYnI/jhlwHNzu/nXb9X1GgghIElSM3MQEbXe\nlClTcPHiRbz55psoLi7GXXfdha+//ho9evQAABgMBhQWFprNs2HDBixYsABCCMTGxiI7OxvR0dHy\n6/Hx8bhy5QpWrVqFV155BV26dMEDDzyAtLS0Dl03IrJvTnkMnhACKz/+ST7B4qX4wXCrt1WPiOwX\njyuzHD8rIsfHY/BaibtpiYiISKmcN+C5MeARERGRMjHgAai8Xm3DSoiIiIjal9MGPDfuoiUiIiKF\nctqAV38LXhUDHhERESmI8wY8bsEjIiIihXLegGd2DB4DHhERESkHAx64BY+IiIiUxWkDnpvrzZt4\nVHELHhERESmIIgJeSkoKVCqV2SM4OLjZebgFj4iIiJRKMfeiHTBgALKzs+XfXVyav/UYT7IgIiIi\npVJMwHNxcYG/v7/F43mSBRERESmVInbRAkBhYSFCQkLQu3dvTJ06FadOnWp2PHfREhERkVIpIuDd\nd999yMzMxPbt2/H+++/DYDAgNjYWly5danIet/oXOuYWPCIiIlIQReyiHT9+vPz8zjvvxLBhwxAe\nHo7MzEzMmzev0XnMj8HjvWiJiIhIORQR8G7l6emJyMhInDhxotHXU1JSIITAD/uL0bv/EPQdOATV\nNSaoXRSxQZNIUbKzs81OoCIiopZJQghh6yLaW0VFBcLDwzFr1iwsXLjQ7DVJklC3yn/9xy8ovXYd\nAPDspLvQ2ce9w2slotap/x2m5vGzInJ8bf0eK2KT1auvvopdu3bh1KlT+OGHH/DEE0+gvLwczzzz\nTLPzeXm4ys/Lyq9bu0wiIiKiDqGIXbTnz5/H1KlTceHCBfj5+WHYsGH4/vvv0aNHj2bn8/Z0g/Hi\nNQBAKQMeERERKYQiAt6nn37apvnMtuBdq2qvcoiIiIhsShG7aNvKy5O7aImIiEh5nDvgmW3BY8Aj\nIiIiZXDqgOddL+DxGDwiIiJSCqcOeNxFS0RERErk3AGPu2iJiIhIgZw64HlqXCFJtc/LK6tRU2Oy\nbUFERERE7cCpA55KJcFTw920REREpCxOHfAAwLvecXhXy3gtPCIiInJ8Th/wunTSyM9/vVppw0qI\niIiI2ofTB7yundzl55evVtiwEiIiIqL2wYBXbwseAx4Rtbc1a9YgPDwcHh4eiI6ORm5ubrPjN23a\nhHvuuQdeXl7o1asX0tPTG4ypqqrCG2+8gd69e0Oj0SAsLAzvvfeetVaBiByQIu5FezsY8IjIWj77\n7DPMnTsXGRkZGD58OFavXo0JEyagoKAAPXr0aDB+27ZtePrpp/Hee+9h/PjxKCgowMyZM+Hh4YFZ\ns2bJ45566ino9Xq8//776NevH4xGI65du9aRq0ZEdk4SQghbF9GRJElC/VWurKrG6k/zAQAuKgmz\nn46CSiXZqjwiasGt32F7du+99+Kee+7B2rVr5WkRERF44oknsGTJkgbj4+PjUVlZic2bN8vTVq1a\nhXfeeQdnzpwBAOzYsQNTpkxBYWEhunXr1uz7O9JnRUSNa+v32Ol30bq7qeGpqd2QWWMS+O81nklL\nRLevqqoKP/30E+Li4symx8XFYc+ePU3O4+7ubjZNo9Hg3LlzcsD74osvEBMTg/T0dPTo0QMRERGY\nM2cOysrKrLMiROSQnD7gAbfspr3C3bREdPsuXLiAmpoaBAQEmE339/eHwWBodJ5x48Zh69at0Ol0\nMJlMOHbsGJYtWwYAKC4uBgAUFhYiNzcXBw4cwJYtW7Bq1Sp88803SEhIsOr6EJFjcfpj8ACga2cN\nzv+nFABw8ddy9ArpbOOKiMgZzZw5EydPnsRvfvMbXL9+HZ07d8bLL7+MlJQUqFS1f4+bTCaoVCp8\n8skn8PHxAVC7G3fcuHEoKSmBn5+f2TJTUlLk51qtFlqttqNWh4jaIDs7G9nZ2be9HAY8AP7dPOXn\nhgs8UJmIbl/37t3h4uICo9FoNt1oNCIoKKjJ+d5++2289dZbMBgM8PPzg06nAwD07t0bABAUFITg\n4GA53AHAgAEDAABnzpxpNuARkf279Q+x1NTUNi2Hu2gBBHb3kp8bLvI4FiK6fW5ubhgyZAh27Nhh\nNl2n0yE2NrbZeSVJQlBQENRqNT799FPExsbC19cXADB8+HDo9XqzY+6OHTsGAAgLC2vntSAiR8WA\nB6B7Vw+43Dhz9sp/K1FeUW3jiohICebPn4/169fjgw8+wOHDhzFnzhwYDAa88MILAICkpCSMGTNG\nHn/x4kVkZGTg8OHDyM/Px5w5c7B582a8++678pj4+Hj4+voiMTERBQUF2L17N+bMmYPJkyeje/fu\nHb6ORGSfuIsWgNpFhe5dPWC8WLt71nixjMfhEdFtmzJlCi5evIg333wTxcXFuOuuu/D111/L18Az\nGAwoLCw0m2fDhg1YsGABhBCIjY1FdnY2oqOj5de9vLzw7bffYvbs2YiJiUHXrl3x2GOP4e233+7Q\ndSMi++b018Gr8/++L8IvR0sAALH3BOO+u4M7ujQisgCv7WY5flZEjo/XwbtNQX43j8M7Z/yvDSsh\nIiIiuj0MeDf0COwkPz9vLMX16zU2rIaIiIio7RjwbvDxcoNvl9oLHteYBM5yKx4RERE5KAa8enoF\n3zyxokh/1YaVEBEREbUdA149YcE3d9MWnr3Cg5OJiIjIITHg1RMa6AN3VxcAwJXSShRf4EWPiYiI\nyPEw4NWjdlGhX6+u8u9HCi/ZsBoiIiKitmHAu8WA8G7y86OnLqG6xmTDaoiIiIhajwHvFj0CfeDj\n5QYAKK+sxtFT3IpHREREjoUB7xaSJOGeAX7y7z8WGHmyBRERETkUBrxG3NXPD67q2o/mwuVyFJ69\nYuOKiIiIiCzHgNcIjbsad/XrLv/+3U/nYDJxKx4RERE5Bga8JgwdFAQ319qP59KVCvxytMTGFRER\nERFZhgGvCZ4aV8TcGSj/nvvTOVwprbRhRURERESWYcBrxpDIQHTrXHt/2uvVJmz77hRqTLxsChER\nEdk3BrxmqF1UiLu/FySp9nf9f0qRk3fOtkURERERtYABrwXBft64f3CI/Hv+kf8g76DBhhURERER\nNY8BzwIxdwaiX9jNW5h99+M57P75PK+PR0RERHaJAc8CkiRhwohwhAR4y9N+2F8M3d4iHpNHRERE\ndkcSTrYZSpKkNm95q7peg69yTuL0+avytABfTzw0oje63jgZg4is63a+w86GnxWR42vr95gBr5Vq\nTCbo9hSh4ORFeZraRYX7BwfjngH+cHHhRlEia2JosRw/KyLHx4BnofZoeEII/HjIiNyfz5vd4aKL\njzuGDwlFv55dINWdektE7YqhxXL8rIgcHwOehdqz4f3n0jVs+64QF3+tMJverbMGQyIDMCC8G1zV\nLu3yXkRUi6HFcvysiBwfA56F2rvh1dSYkH/kP/h+fzEqq2rMXnNzVaFfWDfc0ccXoQHe3KpH1A4Y\nWizHz4rI8THgWchaDa+8ohp5B4ux/1gJqq43PLPW29MVvUO7IDy0M3oG+sDVlVv2iNqCocVy/KyI\nHB8DnoWs3fAqq6qx/1gJDhy/gF+vNn7vWheVhEA/LwT7eSPYzxtB/l7w1LharSYiJWFosRw/KyLH\nx4BnoY5qeEIIFF8ow+GTF3Hk1KUGu29v1cXHHf7dPOHb1QPdu3ige1cPdPFx525dolswtFiOnxWR\n42PAs5AtGl6NyYTi/5Th1PkrOHX+Ci5cLrdoPrWLCp193NHlxqNzvZ/enm5wVfOSLOR8GFosx8+K\nyPEx4FnIHhpe6bUqFJeUQf+fUhSXlMJ48RpqTK2vSePuAi8PN3h7usLbs/anj6cbPD3U8HBXw0NT\n+9PdTQ2VilsCSRns4TvsKPhZETk+BjwL2WPDq64x4cLl8huPa7jwa+3zaxXV7fYeGnfz0KdxV0Pj\n5gI3Vxe43/jp5uYCd1eV2TR3Vxeo1SruKia7YY/fYXvFz4rI8THgAVizZg2WLl0Kg8GAyMhIvPvu\nuxg+fLjZGEdqeOWV1bjy30r8+t9KXPlvBX698fxqaRXKrl2HqYPWQ5IAN1cXuKpVNx61oc/VRVX7\nU33zp6taBbWL+Ti1WgW1SoKLiwQXFxVcVBLULqra31UqeXrtGBW3NlKzHOk7DFjWl+rbtGkTlixZ\nguPHj8PPzw8vvfQSXn311UbH5ubmQqvVYuDAgThw4ECD1x3tsyKihtr6PVZboRab+OyzzzB37lxk\nZGRg+PDhWL16NSZMmICCggL06NHD1uW1iceNrW6B3b3kadnZ2XhyvBZCCFyrqEbptSqUll2v/Vle\n+7O8ohrlldXyz5ZO8GiJEEBlVc1tLwcAThz+EX0HDml2jCTBPAjeEg5dVBJU9R4uqtpQqJJgNl0l\nNTZWgtTEdJVkPk2SapdZ+1OCpKp9/v2e73D/8JG10yQJqhvTzcarJEjyvLgxf+20uvlsJTs7G1qt\n1mbv70xa25e2bduGp59+Gu+99x7Gjx+PgoICzJw5Ex4eHpg1a5bZ2MuXL2P69OkYM2YM9Hp9R61S\nh1LCv1VHXwdHrx9Qxjq0hWIC3vLly5GYmIhnn30WALBy5Up88803yMjIwJIlS2xcXfup+4cqSRK8\nPFzh5eGKAN/m56kxmVBRWYOKeqGvvLIaVVU1qLxeg6rrteGt/s+bz02orml4Xb+2Onmk5YAnBFBd\nbUI1gErcfqhsb9s//xynf/W77eXUBj1AUt0Mhs2FRKDu9xtjUTdP7fLqnt98rd40SMCNeT/7cDN+\nrQmRQ+at4259D0j1pqH179d4rfXG3Hitbrq8nnXTbzxH3TwOpLV9acOGDZg4cSJeeOEFAECvXr2Q\nlJSEtLS0BgHv2WefRWJiIkwmE/75z39af2VsQAn/Y3b0dXD0+gFlrENbKCLgVVVV4aeffsKCBQvM\npsfFxWHPnj02qsp+uKhU8PJQwcujbdfaq6kxoeq6Cdera1BdY8L16tpHdXW95zV1v9eYv3Zjek2N\nQI3JBB8vNwT4eqLGJFBTUzddoLrm5hhn2aNkEgIQANpwgs3t+PVqJQrPXenQ93RGbelLVVVVcHd3\nN5um0Whw7tw5nDlzBj179gRQu9u3pKQECxcuRGpqqnVWgIgcmiIC3oULF1BTU4OAgACz6f7+/jAY\nDDaqSjlcXFTwcFHBox3+uRzc0x1PP3JHs2NMtwS+mpobv98IhSZTbSg0mQRM4sbPJqY1Nr2m3mvN\njRWi9nqGJlPt87ppXp6u8OvmUTvNJGrH3Bjb+LQbz+sth5SvLX1p3LhxmDt3LnQ6HR588EGcOHEC\ny5YtAwAUFxejZ8+eOHDgABYtWoQffviBJz8RUdOEApw/f15IkiS+++47s+mpqamif//+ZtP69Okj\nULvdhA8++HDAR58+fTqyvbRZa/pSfa+99prw8PAQarVa+Pr6itTUVCFJkvj3v/8tKioqxMCBA8WG\nDRvk8cnJyeLOO+9sdFnsd3zw4fiPtvY8RWzB6969O1xcXGA0Gs2mG41GBAUFmU07ceJER5ZGRE6q\nNX2pvrfffhtvvfUWDAYD/Pz8oNPpAAC9e/dGcXExjhw5gsTERCQmJgIATCYThBBwdXXFtm3bMGbM\nGHlZ7HdEzksRt0Jwc3PDkCFDsGPHDrPpOp0OsbGxNqqKiJzZ7fQlSZIQFBQEtVqNTz/9FLGxsfD1\n9UVoaCgOHjyIX375RX688MIL6Nu3L3755RcMGzbMmqtERA5EEVvwAGD+/PmYNm0ahg4ditjYWPzl\nL3+BwWCQz0YjIupoLfWlpKQk5OXl4dtvvwUAXLx4EZs2bYJWq0VlZSXWrVuHzZs3IycnBwCgVqtx\nxx3mx7D6+fnB3d29wXQicm6KCXhTpkzBxYsX8eabb6K4uBh33XUXvv76a4e9Bh4ROb6W+pLBYEBh\nYaHZPBs2bMCCBQsghEBsbCyys7MRHR3d5HvUXV6HiKg+Rd3JgoiIiIgUcgyeJdasWYPw8HB4eHgg\nOjoaubm5ti7JYm+99RZiYmLQuXNn+Pv7Y+LEiTh06JCty2qzt956CyqVCrNnz7Z1KRYrLi7GM888\nA39/f3h4eCAyMhK7du2ydVkWq66uxh//+Ef07t0bHh4e6N27N15//XXU1NjfhaQBYNeuXZg4cSJC\nQ0OhUqmQmZnZYExKSgpCQkLg6emJ0aNHo6CgwAaV2i9H7Xnsd/bBkXse+10tpwh4dbcLWrhwIfLz\n8xEbG4sJEybg7Nmzti7NIjk5OXjppZewd+9e7Ny5E2q1GmPGjMHly5dtXVqrff/993j//fcxaNAg\nh9mt9Ouvv+L++++HJEn4+uuvceTIEaxatQr+/v62Ls1iS5Yswdq1a/Hee+/h6NGjWLFiBdasWYO3\n3nrL1qU1qqysDIMGDcKKFSvg4eHR4N9KWloali9fjlWrViEvLw/+/v4YO3YsSktLbVSxfXHknsd+\nZ3uO3vPY725o08VVHMzQoUPFc889ZzatX79+IikpyUYV3Z7S0lLh4uIivvrqK1uX0iq//vqr6NOn\nj8jOzhZarVbMnj3b1iVZJCkpSQwfPtzWZdyWRx55RCQkJJhNmz59unj00UdtVJHlvL29RWZmpvy7\nyWQSgYGBYsmSJfK08vJy4ePjI9auXWuLEu2Oknoe+13Hc/Sex35XS/Fb8OpuFxQXF2c23ZFvY3b1\n6lWYTCZ07drV1qW0ynPPPYfJkydj1KhREA506OcXX3yBoUOH4sknn0RAQAAGDx6M1atX27qsVpkw\nYQJ27tyJo0ePAgAKCgqQlZWFhx56yMaVtd6pU6dgNBrNvtMajQYjR4502O90e1Jaz2O/63iO3vPY\n72op5izapijxNmZz5szB4MGDHeqaV++//z4KCwvxySefAIBD7a4oLCzEmjVrMH/+fPzxj3/Ezz//\nLB9Pc+sN4O3V73//e5w7dw4DBw6EWq1GdXU1Fi5c6JCXEar73jb2ndbr9bYoya4oreex33U8R+95\n7He1FB/wlGb+/PnYs2cPcnNzHaZpHD16FH/605+Qm5sLFxcXAJDv0eoITCYThg4disWLFwMA7r77\nbhw/fhyrV692iGYHACtXrsS6deuwceNGREZG4ueff8acOXPQq1cvzJgxw9bltRtH+U6QZdjvbMPR\nex77XS3FB7y23i7IHs2bNw+bNm1CVlYWevXqZetyLLZ3715cuHABkZGR8rSamhp89913WLt2LcrK\nyuDq6mrDCpsXHBzc4CKyAwYMwJkzZ2xUUestXrwYCxcuxJQpUwAAkZGRKCoqwltvveVwDS8wMBBA\n7Xc4NDRUnm40GuXXnJlSeh77ne04es9jv6ul+GPwlHIbszlz5uCzzz7Dzp07ERERYetyWuWxxx4z\nu71Sfn4+oqOjMXXqVOTn59t9s7v//vtx5MgRs2nHjh1zqP/pCCGgUpl/3VUqlUNtVagTHh6OwMBA\ns+90RUUFcnNzHeo7bS1K6Hnsd7bl6D2P/e6Gdj4BxC599tlnws3NTfztb38TBQUF4uWXXxY+Pj7i\nzJkzti7NIr///e9Fp06dxM6dO0VxcbH8KC0ttXVpbTZq1Cjx0ksv2boMi+Tl5QlXV1exePFicfz4\ncbFp0ybRuXNnsWbNGluXZrGZM2eK0NBQ8a9//UucOnVKbNmyRfj5+YlXX33V1qU1qrS0VPz888/i\n559/Fp6enmLRokXi559/lr+zaWlponPnzmLLli3iwIED4sknnxQhISEO/Z1oT47c89jvbM/Rex77\nXS2nCHhCCLFmzRrRq1cv4e7uLqKjo8V3331n65IsJkmSUKlUQpIks0dqaqqtS2szR7tswL/+9S9x\n9913C41GI/r37y/ee+89W5fUKqWlpeKVV14RvXr1Eh4eHqJ3797iT3/6k6isrLR1aY3KysqS/53X\n/7efmJgoj0lJSRFBQUFCo9EIrVYrDh06ZMOK7Y+j9jz2O/vgyD2P/a4Wb1VGREREpDCKPwaPiIiI\nyNkw4BEREREpDAMeERERkcIw4BEREREpDAMeERERkcIw4BEREREpDAMeERERkcIw4BEREREpDAMe\nERERkcIw4BEREREpDAMeObySkhIEBQVh0aJF8rT9+/dDo9Fg8+bNNqyMiKh9sd+RpXgvWlKEHTt2\n4NFHH0VOTg7uvvtuREdH47777sMHH3xg69KIiNoV+x1ZggGPFGPevHn48ssvMXLkSOzevRv5+fnw\n9PS0dVlERO2O/Y5awoBHilFVVYVBgwbhxIkT2Lt3L2JiYmxdEhGRVbDfUUt4DB4pxqlTp3D27Fmo\nVCqcPHnS1uUQEVkN+x21hFvwSBGuX7+O++67DwMGDMDQoUORmpqKX375BT169LB1aURE7Yr9jizB\ngEeK8D//8z/YuHEj9u/fj06dOmHChAmoqKjAzp07IUmSrcsjImo37HdkCe6iJYeXk5OD5cuX48MP\nP0SnTp0AAOvXr0dBQQHeeecdG1dHRNR+2O/IUtyCR0RERKQw3IJHREREpDAMeEREREQKw4BHRERE\npDAMeEREREQKw4BHREREpDAMeEREREQKw4BHREREpDAMeEREREQKw4BHREREpDAMeEREREQKw4BH\nREREpDAMeEREREQKw4BHREREpDAMeEREREQKw4BHREREpDAMeEREREQKw4BHHS47OxsqlQq7du2y\naR1arRajR4+2aOz69euhUqlw5swZK1dFRErCfke2woBH7aauKdQ9XF1d0aNHD8yYMQN6vb5d3mPP\nnj1ITU3FlStXbnu8JEmQJEn+vby8HCkpKcjJyWmXWolIudjvyN4x4FG7S01NxUcffYS1a9di7Nix\n+PDDDzFixAiUl5ff9rLbs+HpdDrs2LFD/r2srAyLFi1iwyMii7Hfkb1S27oAUp5x48Zh6NChAIAZ\nM2agW7duWL58ObZu3YqnnnqqXd5DCHHb49Xqxv/5t3bZROS82O/IXnELHlld3XEfp0+fbnZcTk4O\nRo0aBW9vb3Tp0gWPPvooDh06JL+ekpKCBQsWAADCw8PlXSNNHdvS0vj6x6ScPn0a/v7+AGr/Iq8b\nO2PGjGZrzsvLw0MPPYQuXbrA09MTI0aMQHZ2dvMfCBEpFvsd2QtuwSOrO3nyJADA19e3yTFZWVmI\ni4tDnz59kJqaivLycqxevRr3338/8vLy0K9fPzz++OM4fvw4Pv30U7z77rvo3r07AGDAgAGNLrOp\n8QMHDpTH1B2T4u/vj4yMDLz44ouYNGkSJk2aBADo06dPkzXn5ORg3LhxiIqKQnJyMtRqNTZs2IC4\nuDjodDqMGjWqFZ8SESkB+x3ZDUHUTtatWyckSRLbt28XJSUl4uzZs2Ljxo3C19dXeHl5Cb1eL4QQ\nIisrS0iSJHJycuR5Bw8eLPz8/MSlS5fkacePHxdubm7iiSeekKctXbpUSJIkioqKLKqpufGjRo0S\no0ePln8vKSkRkiSJ1NTUJtetbjkmk0n0799fjB071mxcVVWViIyMFLGxsRbVR0SOif2O/c7ecQse\ntbvx48eb/R4ZGYmVK1ciKCio0fHFxcXIz8/HK6+8gq5du8rT+/bti4kTJ+Kbb76BEMLsDDBb++WX\nX3Ds2DG89tpruHDhgtlrY8aMwapVq1BRUQGNRmOjComoI7Dfsd/ZKwY8anfvvfceBg4cCI1Gg549\neyI0NLTZ8UVFRQCA/v37N3htwIAB2Lx5My5cuAA/Pz+r1NsWx44dAwA8++yzjb4uSRIuXryIkJCQ\njiyLiDoY+x37nb1iwKN2FxMTI59VplQmkwkAkJaWhiFDhjQ6pu4YGCJSLva7Wux39ocBj2wuLCwM\nAHDkyJEGrx05cgTe3t5y82jtbovWjG/N2LqDkb29vfHAAw+0qiYicl7sd9RReJkUsrmgoCBERUXh\nww8/xOXLl+XpJ0+exJdffokJEybIzcjLywsAcOnSJYuW3Zrxnp6eFo+Njo5G3759sXz5cpSWljZ4\nvaSkxKL6iMi5sN9RR+EWPLIL6enpiIuLw7BhwzBz5kz5sgGenp5YvHixPC4mJgYAkJSUhKlTp8LN\nzQ0PPvhgk8ertDRe1LvIp4eHByIjI7Fx40ZERESgW7du6N27d6O7XyRJwgcffIDx48fjjjvuwIwZ\nMxASEgK9Xi9fGX7nzp3t8+EQkaKw31GH6MhTdnNycsSjjz4qQkJChCRJYv369S3Os3//fjFy5Ejh\n4eEhQkJCxKJFixqMqaysFK+//roIDw8X7u7uomfPnmLlypXWWAVqxrp164RKpRI//PBDs+OysrKE\nSqUyu2yAEEJkZ2eLkSNHCk9PT9GpUyfxyCOPiIMHDzaY/+233xY9e/YULi4ujS7H0vFardbssgFC\nCPe2JdYAACAASURBVPHDDz+Ie++9V2g0GiFJkkhMTDRbt1svP7B//34xefJk4efnJ9zd3UWvXr3E\n5MmTxfbt25utiagplvTJ5ORkERwcLDw8PIRWqxWHDh2yQaXOjf2O/c7eSUJ03H1Ktm3bht27d2Pw\n4MGYPn06MjIyMH369CbHX716FREREdBqtXjjjTdw+PBhJCYmIiUlBfPnz5fHTZo0CXq9HosXL0a/\nfv1gNBpx7do1XniRiBxOS30yLS0NixcvRmZmJiIiIrBo0SLk5ubi6NGj8Pb2tmHlRGRPOjTg1efj\n44PVq1c3G/AyMjKQlJQEo9EId3d3AMDixYuRkZGBc+fOAQB27NiBKVOmoLCwEN26deuQ2omIOsKt\nfVIIgeDgYLz88stISkoCAFRUVMDf3x/p6el47rnnbFkuEdkRuz7JYu/evRgxYoQc7gAgLi4Oer1e\nvpbQF198gZiYGKSnp6NHjx6IiIjAnDlzUFZWZquyiYis4tSpUzAajYiLi5OnaTQajBw5Env27LFh\nZURkb+z6JAuDwYCePXuaTQsICJBfCwsLQ2FhIXJzc6HRaLBlyxZcvnwZs2fPhl6vxz/+8Q9blE1E\nZBUGgwHAzT5Yx9/fH3q93hYlEZGdsuuAZ8l1ekwmE1QqFT755BP4+PgAAFatWoVx48ahpKSkwdlG\nffv2lW8GTUSOp0+fPjhx4oSty7A7jfVL9jsix9fWnmfXu2gDAwPlv1jrGI1G+TWg9ppCwcHBcrgD\nam/3AgBnzpxpsMyTJ09CCOGwj+TkZJvX4Mz1K2EdHL1+Zw4sdX2vrg/WMRqN8mv1sd/Z/uHo6+Do\n9TvaOtTUmPBV9gksW58nP9ra8+w64A0bNgzfffcdKisr5Wk6nQ4hISHy1cCHDx8OvV5vdsxd3X3z\n6sYQESlBeHg4AgMDsWPHDnlaRUUFcnNzERsba8PKiOh2mUwC3+w+haOnb14AO+qOgGbmaF6HBryy\nsjLk5+cjPz8fJpMJRUVFyM/Px9mzZwHUXpxxzJgx8vj4+Hh4enoiISEBhw4dwpYtW5CWlmZ2iZT4\n+Hj4+voiMTERBQUF2L17N+bMmYPJkyfz3nhE5HCa65OSJGHu3LlIS0vD559/joMHDyIhIQE+Pj6I\nj4+3delE1EZCCOj2nMaRwpt3FrlngD9GRYfe1kI7TFZWlpAkSUiSJFQqlfy87uKKCQkJIjw83Gye\nAwcOiJEjRwqNRiOCg4MbvdDx0aNHRVxcnPD09BQhISHipZdeEqWlpY3W0MGr3O6ysrJsXcJtcfT6\nhXD8dXD0+h39O9ySlvqkEEKkpKSIoKAgodFomr3QsaN/Vo7+b1UIx18HR69fCPtfB5PJJLbvPiWW\nrc+TH7o9p4XJZBJCtP17bLPr4NmKJElwslUmUhR+hy3Hz4rIvgkhsPOHM/jl6M37+d7ZrzvGDguT\nT5xq6/fYro/BIyIiIlIiIQSy/n3WLNzd0cfXLNzdDgY8IiIiog4khMCufeeQf+Q/8rQB4d0QF9ur\nXcIdwIBHRERE1GGEEMj96Tx+LLh5uaOIXl0xfng4VKr2CXcAAx4RERFRh9mTr0fewZvX+O3bswsm\njGjfcAcw4BHR/2/vzuOiqvf/gb9mGJZhFREQRdkETRP3DTc0ltSiNLGrft26X/v6rcy0+61LWVn3\nqlle+3pVvP68pV77dsstLdMEF0DUSlNMQVkEQYRBQRZB1pnz+2Ps2OQ2IMyZM/N6Ph48HpwPnzPz\nniOfjy/OSkREJvHD2SL8+EuxuBzo64YJowJho2z9OMaAR0RERNTGfjpXjONpd54ZHdDZDU+FB8HG\npm2iGAMeERERURs6la5B6umr4rKfjyueHhMEVRuFO4ABj4iIiKjNnM4oQcqpQnG5S0cXxIxt23AH\nMOARERERtYm0i9eQdPKKuNzZ2xnPju0GW5VNm783Ax4RERFRK/sl6zoO/1ggLnfydMLEJ4Jha9v2\n4Q5gwCMiIiJqVeezS3HwRL643LGDEyZGhMDOROEOYMAjIiIiajUZl8qQcPyyuOzt4YhJkcGwtzNd\nuAMY8IiIiIhaxcW8GzhwLE9c9myvxqTIEDjYqUxeCwMeERER0SPKunwD+4/mQhD0yx3c1Zgc2R1q\ne9OHO4ABj4iIiOiR5BSUY19KnhjuPNwcMDkyBGoHacIdwIBHRERE1GK5VyqwNzkXutvpzt3VAZOj\nu8NRbStpXQx4RERERC2Qd7US3yZdgk6nD3ftXOwRGx0CJ4nDHcCAR0RERNRs+UVV+OZwDrS3w52b\nsx1io7vD2dFO4sr0GPCIiIiImuGKpgp7fhPuXJ304c7FyTzCHcCAR0RERGS0qyU3sftQDpq0OgCA\ns6MtJkd3h6uzvcSVGWLAIyIiIjJC0bVq7DqYjcYmfbhzUtsiNro72rmYV7gDGPCIiIiIHqr4+r3D\nnburg8SV3RsDHhEREdEDlJTVYNfBbDQ0agEAagcVJkeFoL2beYY7gAGPiIiI6L6u37iFHQlZqG/Q\nhzsHe32482inlriyB2PAIyIiIrqH0vJag3Bnb2eDyVEh8HR3lLiyh2PAIyIiIvqdsopa7EjIRG19\nEwDA3lYf7rzam3+4AxjwiIiIiAyUV9ZhR0IWbtXpw52drRKTIoPh7eEkcWXGY8AjIiIiuq2iqg7b\nEzJRU9sIALBVKTEpIgQ+ns4SV9Y8DHhEREREACpv1mN7Qhaqb+nDnUqlxMSIYHTykle4AxjwiIiI\niFBVXY/tCZm4WdMAAFDZKPHs2G7w9XaRuLKWMWnAS0lJQUxMDHx9faFUKrFly5aHrnPu3DmMHj0a\njo6O8PX1xV/+8pf79k1NTYVKpULv3r1bs2wiIiKyYDdrGrD9QBaqqvXhzkapwDNjg9DVx1XiylrO\npAGvpqYGoaGhWL16NdRqNRQKxQP7V1VVITIyEj4+Pjh16hRWr16Njz/+GKtWrbqrb3l5OWbOnImI\niIiHvi4RERERAFTfasD2hExUVtcD0Ie7mDHd4NfJTeLKHo1CEARBijd2cXHBunXrMHPmzPv2Wb9+\nPeLi4lBSUgJ7e/1z3pYuXYr169ejsLDQoO+kSZPQr18/6HQ67NixA+fOnbvnayoUCkj0kYmoFXAM\nG4/biujBamobsf1AJm5U1gEAlEoFng4PQlCXdhJXdkdLx7FZn4N34sQJjBw5Ugx3ABAVFYWioiLk\n5+eLbfHx8bh+/ToWL17MyYyIiIge6lZdI3b8JtwpFMCEUYFmFe4ehVkHPI1GA29vb4O2X5c1Gg0A\n/Tl6H3zwAT7//HMemiUiIqKHqq1rwo6ELJT9LtwF+7lLXFnrUUldwIM8LLDV19fj+eefx8qVK+Hn\n52f06y5ZskT8Pjw8HOHh4S2skIjaWlJSEpKSkqQug4gsRF19E3YmZqG0vBaAPtyNGxGAEP/2ElfW\nusz6HLxZs2ahrKwMe/fuFdtOnjyJIUOGIC8vD4IgIDAwEDY2NuLPdTodBEGAjY0N9u/fj4iICIPX\n5DkpRPLGMWw8bisiQ/UN+j13JWW3xLYnRwSgZ5CHhFU9WEvHsVnvwRs2bBjefPNN1NfXi+fhJSYm\nonPnzvDz80NTUxPOnz9vsM66deuQmJiI3bt3N2uvHhEREVmu+gYtdh3MNgh3UWH+Zh3uHoXJb5OS\nlpaGtLQ06HQ65OfnIy0tDVeuXAEAxMXFGexxmzZtGhwdHTF79mykp6dj165dWLFiBRYtWgQAUKlU\n6Nmzp8GXp6cn7O3t0bNnTzg5yeeZcURExmhqasJbb72FwMBAqNVqBAYG4p133oFWq5W6NCKz1dCo\nxdeHslF8vUZsixjmh8eDO0hYVdsyacA7efIk+vfvj/79+6Ourg7vvfce+vfvj/feew+A/sKJ3Nxc\nsb+rqysSExNRVFSEgQMHYv78+fjTn/6EhQsX3vc9FAoFL7YgIou1bNkybNiwAWvWrEFmZiZWr16N\n+Ph4LF++XOrSiMxSY6MWuw9lo+hatdg2dkhXhIZ4SlhV25PsHDyp8JwUInmz9jH89NNPo0OHDti0\naZPYNmvWLJSXl+Obb74x6Gvt24qosUmH3YeycUVzU2wLH9QF/Xt6P2At82KR98EjIiJD48aNw+HD\nh5GZmQkAyMjIwJEjRzB+/HiJKyMyL01aHb45kmMQ7kYO8JVVuHsUZn2RBRERGXrppZdQWFiIxx57\nDCqVCk1NTVi8eDHmzZsndWlEZqNJq8O3Ry4hv6hKbBverzMGPd5RwqpMiwGPiEhG/v73v2PTpk34\n8ssv0atXL5w5cwYLFiyAv78/Xnjhhbv6876fZG20Oh2+S85F3tVKsW1Yn04YEuojYVXGa617f/Ic\nPCKSFWsfw97e3li8eDHmz58vti1duhSbN29Gdna2QV9r31ZkfbQ6Hfal5CE7v1xsG9LbB2H9Osn2\nAkyeg0dEZAUEQYBSaTh1K5VKBjmyejqdgO+PGoa7gY93lHW4exQ8REtEJCPPPvssPvzwQwQEBKBn\nz544c+YMPvnkE8yaNUvq0ogko9MJ+P5YHjIv3wl3/Xt6Y2T/zlYZ7gAeoiUimbH2MVxTU4P33nsP\nO3fuRElJCXx8fDB16lS8++67sLOzM+hr7duKrIMgCEg4dhnpl8rEtr49vDBmcBeLCHctHccMeEQk\nKxzDxuO2IksnCAIST+TjfHap2BYa4oknhna1iHAH8Bw8IiIisiKCIODwjwUG4e7x4A4WFe4eBQMe\nERERyYogCEg6eQVnM6+LbT2DPBA5zI/h7jYGPCIiIpINQRCQcqoQZy5cE9t6BLRHVJg/w91vMOAR\nERGRLAiCgNTTV/FzRonYFuLvjidHBECpZLj7LQY8IiIikoXjaUU4eV4jLnfr2g7jRjLc3QsDHhER\nEZm9H84W4cdfisXlQF83TBgVCBslo8y9cKsQERGRWfvpXDGOpxWJy/6dXfFUeBBsbBhj7odbhoiI\niMzWqXQNUk9fFZf9fFwRM6YbVAx3D8StQ0RERGbpdEYJUk4VistdOrogZmwQw50RuIWIiIjI7KRd\nvIakk1fE5c7eznh2bDfYqmwkrEo+GPCIiIjIrPySdR2HfywQlzt5OmHiE8GwtWW4MxYDHhEREZmN\n9JxSHDyRLy537OCEiREhsGO4axYGPCIiIjILGZfKcODYZXHZ28MRkyKDYW/HcNdcDHhEREQkuYt5\nN3DgWJ647NlejUmRIXCwU0lYlXwx4BEREZGksi7fwP6juRAE/XIHdzUmR4ZAbc9w11IMeERERCSZ\nnIJy7EvJE8Odh5uDPtw52EpbmMwx4BEREZEkcq9UYG9yLnS30527qwMmR3eHo5rh7lEx4BEREZHJ\nXb5aiW+TLkGn04e7di72iI0OgRPDXatgwCMiIiKTKiiuwp4jOdDeDnduznaIje4OZ0c7iSuzHAx4\nREREZDJXNFXYfSgHWq0+3Lk66cOdixPDXWtiwCMiIiKTuFpyE7sP5aBJqwMAODvaYnJ0d7g620tc\nmeVhwCMiIqI2V3StGrsOZqOxSR/unNS2iI3ujnYuDHdtwaQBLyUlBTExMfD19YVSqcSWLVseus65\nc+cwevRoODo6wtfXF3/5y18Mfr5r1y5ERUXBy8sLrq6uGDp0KL799tu2+ghERETUTMXXDcOdo4MK\nsdHd4e7qIHFllsukAa+mpgahoaFYvXo11Go1FArFA/tXVVUhMjISPj4+OHXqFFavXo2PP/4Yq1at\nEvukpKQgIiIC+/btQ1paGsaPH4+JEyciNTW1rT8OERERPURJWQ12HcxGQ6MWAKC+He7auzHctSWF\nIPx6a0HTcnFxwbp16zBz5sz79lm/fj3i4uJQUlICe3v9LtylS5di/fr1KCwsvO96Q4YMwciRI7Fy\n5cq7fqZQKCDRRyaiVsAxbDxuK5La9Ru3sO1AJuob9OHOwV6F2OgQeLo7SlyZfLR0HJv1OXgnTpzA\nyJEjxXAHAFFRUSgqKkJ+fv5916uqqkL79u1NUSIRERHdQ2l5LXYkZInhzt7OBpOjGO5MxawDnkaj\ngbe3t0Hbr8sajeae66xbtw5FRUWYMWNGm9dHREREdyurqMWOhEzU1jcBAOxt9eHOqz3DnamY9VN8\nH3aO3u/t3LkTb7zxBrZt24YuXbrct9+SJUvE78PDwxEeHt7CComorSUlJSEpKUnqMojISOWVddiR\nkIVbdfpwZ2erxKTIYHh7OElcmXUx64DXsWPHu/bUlZSUiD/7rR07dmDWrFnYunUrJkyY8MDX/W3A\nIyLz9vs/wt5//33piiGiB6qoqsP2hEzU1DYCAGxVSkyKCIGPp7PElVkfsz5EO2zYMBw9ehT19fVi\nW2JiIjp37gw/Pz+xbdu2bZg5cya2bNmCSZMmSVEqERGRVau8WY/tCVmovqUPdyqVEhOfCEYnL4Y7\nKZj8NilpaWlIS0uDTqdDfn4+0tLScOXKFQBAXFwcIiIixP7Tpk2Do6MjZs+ejfT0dOzatQsrVqzA\nokWLxD5ffvklpk+fjhUrVmDEiBHQaDTQaDS4ceOGKT8aERGR1aqqrsf2hEzcrGkAANjYKPDs2G7w\n7egicWXWy6S3SUlKSsLYsWP1b/yby35nz56Nzz77DHPmzEFycjJyc3PFdc6fP4+XX34ZP/30E9q3\nb4958+bhnXfeEX8+ZswYpKSk3HUJcXh4OA4fPnxXDbxtAJG8cQwbj9uKTOFmTQO2fZ+Jymr90TYb\npQLPPtENfp3cJK7MMrR0HEt2HzypcMIjkjeOYeNxW1Fbq77VgG0HMlFRdSfcxYzphgBfhrvWYpH3\nwSMiIiLzVFPbiB0JWWK4UyoVeCo8iOHOTDDgERERUbPcqmvEjoRM3KisAwAoFMCEUYEI6tJO4sro\nVwx4REREZLTauibsSMhCWYVhuAv2c5e4MvotBjwiIiIySl19E3YmZqG0vBaAPtyNGxGAEH8+HtTc\nMOARERHRQ9U36MPdtRu3xLbo4QHoEeghYVV0Pwx4REQyU1xcjFmzZsHLywtqtRq9evVCSkqK1GWR\nBatv0GLXwWyUlN0Jd1Fh/ugZxHBnrsz6UWVERGSooqICw4cPx6hRo7Bv3z54enoiNzcXXl5eUpdG\nFqqhUYuvD2Wj+HqN2BYx1A+PB3eQsCp6GN4Hj4hkxdrH8FtvvYWjR4/i6NGjD+1r7duKHl3j7XBX\nWFItto0d0hV9e/APClPhffCIiKzA7t27MXjwYDz//PPw9vZGv379sG7dOqnLIgvU2KTDniM5BuEu\nfFAXhjuZYMAjIpKR3NxcxMfHo1u3bkhISMCCBQvw5z//mSGPWlWTVodvjuSgoPim2DZygC/69/SW\nsCpqDh6iJSJZsfYxbGdnh8GDByM1NVVse/vtt/H1118jIyPDoK+1bytqmSatDt8mXUJeYaXYNrxf\nZwwJ9ZGwKuvV0nHMiyyIiGSkU6dO6Nmzp0Fbjx49UFBQcM/+S5YsEb8PDw9HeHh4G1ZHcqfV6fBd\ncq5BuBvWpxPDnQklJSUhKSnpkV+He/CISFasfQxPnz4dV65cMbgtyjvvvIOvv/4a58+fN+hr7duK\nmker02FfSh6y88vFtiG9fRDWrxMUCoWElVk3XmRBRGQFFi5ciB9++AHLli1DTk4Otm/fjjVr1uDl\nl1+WujSSMZ1OwPdHDcPdwMc7MtzJGPfgEZGscAwD+/btw1tvvYXMzEz4+fnhlVdewSuvvHJXP24r\nMoZOJ+D7Y3m4mHtDbOv/mBdGD+rCcGcGWjqOGfCISFY4ho3HbUUPIwgCEo5dRvqlMrGtbw8vjBnM\ncGcueIiWiIiIjCYIAhJP5BuEu9AQT4Y7C8GAR0REZGUEQcDhHwtwPrtUbHs8uAOeGNqV4c5CMOAR\nERFZEUEQkHTyCs5mXhfbegZ5IHKYH8OdBWHAIyIishKCICDlVCHOXLgmtvUIaI+oMH+GOwvDgEdE\nRGQFBEFA6umr+DmjRGwL8XfHkyMCoFQy3FkaBjwiIiIrcDytCCfPa8Tlbl3bYdxIhjtLxYBHRERk\n4X44W4QffykWlwN93TBhVCBslIwBlor/skRERBbsp3PFOJ5WJC77d3bFU+FBsLFhBLBkKmM76nQ6\nXL16FZWVlWjXrh06deoEJZM/EZEBzpVkTk6la5B6+qq47Ofjipgx3aBiuLN4D/wXvnXrFjZv3ozo\n6Gi4urrCz88PoaGh6Nq1K1xdXREdHY3Nmzfj1q1bpqqXiMjscK4kc3T6QglSThWKy106uiBmbBDD\nnZW476PKVq9ejWXLlsHT0xPPPPMMBg0aJE5WVVVVyM/Px08//YRvv/0W165dw+LFi/Hqq6+auv5m\n46N7iOTN3MawOc+V5ratyHTOXryGQz8WiMudvZ0x6Ylg2NraSFgVtUSrP4v2ueeew9tvv43+/fs/\n9EV+/vlnLFu2DDt37mx2AabGCY9I3sxtDJvzXGlu24pM45es6zh4Il9c7uTphEmRIbBjuJOlVg94\nlooTHpG8cQwbj9vK+qTnlOLAscvicscOTnguMgT2dgx3ctXScWzUgfjLly/f92fHjx9v9psSEVki\nzpUkpYxLZQbhztvDEZMigxnurJRRAa9Pnz7YunWrQZtWq8W7776L8PBwo98sJSUFMTEx8PX1hVKp\nxJYtWx66zrlz5zB69Gg4OjrC19cXf/nLX+7qk5ycjAEDBkCtViMoKAgbNmwwuiYiotbSWnMlUXNd\nzLuBA8fyxGXP9mpMigyBg53RN8sgC2NUwPvoo4/w3//935g6dSqqqqqQk5OD4cOH49NPP8W+ffuM\nfrOamhqEhoZi9erVUKvVD33uXVVVFSIjI+Hj44NTp05h9erV+Pjjj7Fq1SqxT15eHsaPH48RI0Yg\nLS0NcXFxmD9/Pnbt2mV0XUREraG15kqi5si6fAP7j+bi16N4HdzVmBwZArU9w501M/ocvIsXL2La\ntGkoLS1FRUUFIiIi8M9//hPt27dv0Ru7uLhg3bp1mDlz5n37rF+/HnFxcSgpKYG9vT0AYOnSpVi/\nfj0KC/WXfr/55pvYvXs3MjMzxfXmzp2L9PT0ex4S4TkpRPJm7mO4tefKR2Hu24oeXU5BOfYm5UJ3\n+9/Zw80BsdHd4ai2lbgyai1teg4eAHTs2BEBAQHQaDSora3FuHHj2nzCOnHiBEaOHCmGOwCIiopC\nUVER8vPzxT5RUVEG60VFReHUqVPQarVtWh8R0e9JMVeSdcotrMDe5Dvhzt3VAZMZ7ug2o/bfJicn\nY8aMGejYsSMyMjJw4sQJzJ8/H9999x0+/fRTeHh4tElxGo0GXbt2NWjz9vYWf+bn54eSkhKx7bd9\nmpqaUFpaetfPAGDVllNtUi8RWTep5kqyPpevVuLbI5eg0+nDXTsXe8RGh8CJ4Y5uMyrgRUZG4n/+\n53/w/vvvQ6VSoVu3bhgxYgRmzJiB3r17o6io6OEv0gIPO0evpQ58/f/E74N6DEC3xwa0yfsQ0aPL\nufAzLl38WeoyjCLVXEnWpaC4CnuO5EB7O9y5OdshNro7nB3tJK6MzIlRAS8xMRGjR482aAsICEBy\ncjKWLVvWJoUB+kMdGo3GoK2kpET82YP6qFQqdOjQ4Z6vGz3xxTaolojaQrfHDP8IS9izUcJqHkyq\nuZKsxxVNFXYfyoFWqw93rk76cOfixHBHhowKeL+fsH5lY2ODd955p1UL+q1hw4bhzTffRH19vXge\nXmJiIjp37gw/Pz+xz9dff22wXmJiIgYNGgQbm3vf+2fRrIFtVjMRta3XZ0tdwf1JNVeSdbhachO7\nD+WgSasDADg72mJydHe4Ots/ZE2yRve9yGLLli3Q6XRGvYhWqzXqnnY1NTVIS0tDWloadDod8vPz\nkZaWhitXrgAA4uLiEBERIfafNm0aHB0dMXv2bKSnp2PXrl1YsWIFFi1aJPaZN28erl69ioULF+LC\nhQv45z//iS1btuBPf/qTUbUTET2KtpgriX6v6Fo1dh3MRmOT/nfNSW2L2OjuaOfCcEf3dt/bpERE\nRCAnJwczZsxATEwM+vbtC1vbOydvNjY24syZM/jmm2/w+eefo1u3bjh48OAD3ywpKQljx47Vv/Fv\nLvudPXs2PvvsM8yZMwfJycnIzc0V1zl//jxefvll/PTTT2jfvj3mzZt311/CKSkpWLhwIdLT09G5\nc2e8+eabePHFex+G5W0DiOTN3MZwW8yVrcXcthW1TPH1auxMzEZDo/7OEI4OKkx5sgfauzlIXBmZ\nQps8i/bgwYNYs2YN9u/fD4VCAS8vLzg7O6O6uholJSUQBAHjx4/H/PnzDfa8mTNOeETyZo5j2Fzn\nSnPcVtQ8JWU12JGQhfoGfbhTO6gwJbo7PNqpJa6MTKVNAt6vqqqqcPz4cWRnZ6Oqqgpubm7o1q0b\nhg0bBjc3txYVLBVOeETyZs5j2NzmSnPeVvRw12/cwvaETNTV68Odg70KsdEh8HR3lLgyMqU2DXjP\nPPMM/vM//xMTJkyAUmn0vZHNEic8Inkz5zFsbnOlOW8rerDS8lpsP5CJ2vomAIC9nQ1io7vDqz3D\nnbVp0ydZODs74w9/+AN8fX0RFxeH7OzsZr8REZGl41xJraGsohY7En4T7mxtMDkqhOGOmsXoZ9FW\nVlbiiy++wGeffYaff/4ZI0aMwB//+EdMmTIFarV8zgXgX7RE8mbuY9ic5kpz31Z0t/LKOmw7kIma\n2kYAgJ2tEs9FhsDH01niykgqbXqI9vfOnz+PTz/9FOvXr4eDgwOef/55LFiwAD179mx2AabGCY9I\n3uQ0hqWeK+W0rQioqNKHu+pb+nBnq9KHu05eDHfWrE0P0f5WUVER9uzZg71798LW1haTJk1CQUEB\nQkND8fHHHze7ACIiS8S5kpqj8mY9tidkieFOpVJi4hPBDHfUYkbtwWtoaMCePXvw2WefITExEf37\n98fcuXMxdepUODvrf/m++eYbzJw5ExUVFW1e9KPgX7RE8mbOY9jc5kpz3lZ0R1V1PbYdyERVcR8N\nOgAAH5FJREFUdQMAwMZGgYlPBKOrj6vElZE5aOk4NupRZZ06dYJOp8P06dOxYsUKhIaG3tVn5MiR\naNeuXbMLICKyFJwrqblu1jRg+4GsO+FOqcCzY7sx3NEjM2oP3r/+9S9MmTIFDg7yv2s2/6Ilkjdz\nHsPmNlea87YioPpWA7YdyERFVT0AfbiLGdMNAb7yur8stS2TXmQhZ5zwiOSNY9h43Fbmq6a2EdsP\nZOJGZR0AQKlU4OnwIAR14d5dMmSyiyyIiIio5W7VNWJHwp1wp1AAE0YFMtxRq2LAIyIiMpHauibs\nSMhCWYVhuAv2c5e4MrI0DHhEREQmUFffhJ2JWSgtrwWgD3dPjghAiH97iSsjS8SAR0RE1MbqG/Th\n7tqNW2Jb9HB/PBboIWFVZMkY8IiIZGz58uVQKpWYP3++1KXQfdQ3aLHrYDZKyu6Eu6gwf/QM6iBh\nVWTpGPCIiGTqhx9+wMaNGxEaGgqFQiF1OXQPDY1a7D6UjeLrNWJbxFA/PB7McEdtiwGPiEiGKisr\n8R//8R/YtGkT3N15gr45amzSYvfhHFy9Vi22jR3SFaHdPSWsiqwFAx4RkQy9+OKLiI2NxejRo3mv\nOzPU2KTDnsM5KNTcFNvCB3VB3x5eElZF1sSoR5UREZH52LhxI3Jzc/HFF18AAA/PmpkmrQ7fHMlB\nQfGdcDdygC/69/SWsCqyNgx4REQykpmZibfffhupqamwsbEBAAiCcN+9eEuWLBG/Dw8PR3h4uAmq\ntF5NWh2+TbqE/KIqsW14v84Y9HhHCasiOUlKSkJSUtIjvw4fVUZEsmLtY3jz5s144YUXxHAHAFqt\nFgqFAjY2NqipqYGtrS0AbitT0+p02JuUi0tXKsS2YX06YVjfThJWRXLHZ9EaiRMekbxZ+xiurKzE\n1atXxWVBEDBnzhyEhITgrbfeQs+ePcWfWfu2MiWtTod9KXnIzi8X2wb37ojh/TrzEDo9kpaOYx6i\nJSKSETc3N7i5uRm0OTo6wt3d3SDckenodAK+P2oY7gb28ma4I0nxKloiIplTKBQMEhLR6QQcOJaH\nzMt3wl3/x7wwcoAv/01IUjxES0SywjFsPG6rtiUIAhKOXUb6pTKxrW8PL4wZ3IXhjlpNS8cx9+AR\nERE1kyAIOHgi3yDchYZ4MtyR2WDAIyIiagZBEHD4xwKcyy4V2x4P7oA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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Custom plot modifications via axes instance\n", "[[back to section overview](#sections)]\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Setup EasyPlot object with common plot parameters\n", "x = np.linspace(0, 10, 11)\n", "eplot = EasyPlot(x, x**2, xlabel='x', ylabel='y(x)', figsize=(6,5),\n", " title='Plot title', fs=14, lw=3, xlim=(0,11), c=\"#fc8d62\")\n", "ax = eplot.get_axes()\n", "\n", "# Modify plot by direct manipulation of axes instance\n", "ax.bar(x, x**2, align=\"center\", width=0.5, alpha=0.6, color=\"#a6d854\")\n", "ax.set_xticks([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$',\n", " r'$\\chi$', r'$\\nu$', r'$\\mu$', r'$\\omega$', r'$\\phi$'], fontsize=18)\n", "eplot.redraw() # Update plot canvas with axes modifications" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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w/n14OxrfEsrrOeJo37aocDbrqDXVETd9QiIjIwPfffcdfvjhBzg5OWH48OE4\nefIkOnXqhHfeeccSNRKRBYnBAMPGT4HsUwAAg07Bsd6tUerponFlZGvMCozS0lKsW7cOgwcPRvPm\nzfHdd98hIiICZ86cwdKlS7Fp0yZ88803mDNnjqXrJaIaJr9+BRzfr7ZPdgtEod5Lw4rIVpm1v9mk\nSRMYDAaMHj0a8+fPR6dOnSqN6d27N3x8fGq8QCKyHMMfv0L2Xr3h7sdzJfBv1UjDisiWmRUYCxcu\nxGOPPQYXl+p3UX19fW/47G8isi2SngL55ZpHL7e6E+sOxuB57UoiG2fWIamnnnrqhmFBRPZFcs/C\n8P0HgKHC2NGoGXSDn4NoWxbZON6FR1THSMlFGNYvBkqKjB1uXtD97XkozvxQSDfGwCCqQ8RQAcOP\n/wEunDF2ODhCN3QyFK8G2hZGdoGBQVSHSMxaIO2Q2lYGjYPSpJWGFZE9YWAQ1RGGxK2Q/VvVttJj\nCHTB3TWsiOwNA4OoDpATByEx/1PbSttuUO4eqmFFZI8YGES1nFw4YzxvIQZjh1+Q8VCUwl9/ujn8\nF0NUi0lxIQzfLgYuXV4k1MMXur9NhuLkrG1hZJdsNjDmzZsHnU6H5583vY0oKioKAQEBcHNzQ79+\n/bjoIVE1pKIchg0fAHlnjR2OztA9/DwUD67IQLfGJgNj165d+PTTT9GpUycoytWllefPn4+FCxdi\nyZIlSEhIgF6vx4ABA1BYWKhhtUS2R0QgP68CTh9W+3SDn4Oi57Mt6NbZXGDk5eXhySefxLJly+Dr\n66v2iwgWLVqE6dOnY9iwYQgJCcGKFStQUFCANWvWaFgxke2RvdGQQ9vVtnLPI1DahGpYEdUGNhcY\n48ePx4gRI9C3b1+IXF2oIDU1FVlZWRg4cKDa5+Ligj59+iA+Pl6LUolskhxLhGxbp7aVDj2hdBus\nYUVUW9jU01E+/fRTHD9+XN1juPZwVGZmJgDAz8/02cJ6vR4ZGRkgIkDOpcOw8RPgyqpQAW2g9H/K\n5HeJ6FbZTGCkpKTgX//6F7Zv3w4HBwcAl4/Dyl8vh1bdL0NUVJT65/DwcISHh9dEqUQ2SYryjGtE\nlV0ydng1hG7IJCiOTtoWRjYtNjYWsbGxZo21mcDYuXMnsrOzERISovZVVFTg119/xccff4yDBw8C\nALKystC0aVN1TFZWFvz9/av8ntcGBlFtJuVlMGxYAhRcMHY4u0D38AtQ3Dy1LYxs3vUfpmfNmlXt\nWJs5hzGsBQsGAAAcxElEQVRs2DAcPHgQ+/fvx/79+5GYmIiuXbviiSeeQGJiItq0aQN/f39ER0er\nrykpKcH27dvRs2dPDSsn0paIQKKXAWeOGzsUBboH/w6lYYC2hVGtYzN7GN7e3vD29jbpc3Nzg6+v\nLzp06AAAmDp1KubOnYvg4GC0adMGs2fPhqenJ0aNGqVFyUQ2QXb/AEnerbaVviOhBHXUsCKqrWwm\nMKqiKIrJ+YmIiAgUFxdj0qRJyMnJQY8ePRAdHQ13d3cNqyTSjhxOgMSvV9tKp75QuvTXsCKqzWw6\nMGJiYir1RUZGIjIyUoNqiGyLZJ6AYfPSqx3N20PpN4pXRJHF2Mw5DCIynxTkwPDdYqC81Njh6wfd\nQxOhONj0Z0CycwwMIjsjZZdg+O59oCjP2FHPDbqHp0Bx4aFZsiwGBpEdETHAsOkz4GyasUPnAN2Q\nf0Dx9bvxC4lqAAODyI7IjvXA0d/VtnLvaCjN22tYEdUlDAwiO2H4Yxvktx/VthI6ALpOfTWsiOoa\nniEjsjGTp4xHbkG2SV9vH2eMC3CD7vIVUIkFZVi08kvIyi9Nxvl4NsSS9z6xWq1UtzAwiGxMbkE2\nXpg7SG03OH4OLXal4srFskX13SAj2uN5J4dKr108Y4uVqqS6iIekiGxY/ePZpmHh64Yj9wbDUEVY\nEFkaA4PIRtVPzUbgruNqWFy8HBYVzjwwQNpgYBDZIN8T14WFjxsO39sOFfUYFqQdBgaRjenu7YSg\nncehXH4UzEUf18thwedakLYYGEQ2xJDyG/7e1P26sAhGhQvDgrTHwCCyEXI4AbLxU/XS2WJvV+M5\nC4YF2QgGBpENkMN7YPjxE0AMAIxhcfi+YJQzLMiG8AwakcbkyF4YNl4Ni9MlFcgexrAg28M9DCIN\nydHfYfjxY8BQYeyo3xjzTxSg3JVhQbaHgUGkETm6D4Yf/nM1LHz9oHv0ZeSVi7aFEVWDgUGkATmW\nCMMPH10NCx8/6Eb8E4qHj7aFEd0AA4PIyuT4/uvCQn85LHy1LYzoLzAwiKxIUv+A4fsPgYpyY4f3\n5bDwZFiQ7WNgEFmJpP4Bw4Yl14RFI+ge+ycUz/raFkZkJgYGkRXIiYPXhUXDy3sWDAuyHwwMIguT\ntEMwfHdNWHhdDguvBtoWRnSTGBhEFiQnk2BY/z5QUWbs8Kx/OSwaalsY0S1gYBBZiJz8s3JYPBYB\nxZthQfaJgUFkAZKeDMP6xUB5qbHDwxe6ERFQvBtpWxjRbWBgENUwOZUCw7fvmYbFYxFQfBgWZN8Y\nGEQ1SE4dNg0Ldx/jOQsfvbaFEdUABgZRDZHTR2D4dhFQdsnY4e5t3LPw9dO2MKIawsAgqgGScRSG\nb941DYsRDAuqXRgYRLepUli4eRkPQ9X317YwohrGwCC6DZJxzBgWpSXGDjUsGmtbGJEFMDCIbpGc\nOW4aFq6exrBo0ETbwogshIFBdAskMxWGbxYCpcXGDldP6Ea8zLCgWo2BQXSTJOsEDF8vBC5dCQsP\n6B59GUrDptoWRmRhjloXQGRP5FgiDBs/uXqC2+VyWDRiWFDtx8AgqsbkKeORW5Ctth9sWA+P+rlC\npygAgMJyA946mIH0PVMqvdbHsyGWvPeJ1WolsgYGBlE1cguy8cLcQVDKDWjxWyoanDivbrvk7oy0\nvm0xzMetytcunrHFWmUSWQ0Dg+gGnC6WotW2I3C/UKT2Feg9ceye1qhwcdKwMiLrY2AQVSPQxQHB\nWw7BubhM7TvXuhHSw1pAHHi9CNU9DAyiKhiSd+NfLT3VsBAFSA9tgXNt9cDlcxhEdQ0Dg+gaIgbI\njvWQ336Es84YDOXODjh+T2sU+HtrXB2RthgYRJdJaTEMmz4DjiWqfcVeLjjWpy0uebloWBmRbWBg\nEAGQvHMwfLcEyD6l9u0vKIPh0VAYnPlrQgTY2J3e8+bNQ7du3eDt7Q29Xo+hQ4fi0KFDlcZFRUUh\nICAAbm5u6NevH5KSkjSolmoLOZUCw5rZJmGhhA3Cu2mFDAuia9hUYMTFxWHy5MnYuXMntm7dCkdH\nR/Tv3x85OTnqmPnz52PhwoVYsmQJEhISoNfrMWDAABQWFmpYOdkrw4E4GL76N1B8+d+PgyOUQeOg\n6/sYRNvSiGyOTX182rx5s0l71apV8Pb2Rnx8PB588EGICBYtWoTp06dj2LBhAIAVK1ZAr9djzZo1\nGD9+vBZlkx0SQwUk9gtI4i9XO928oBs6CUqT1toVRmTDbGoP43r5+fkwGAzw9fUFAKSmpiIrKwsD\nBw5Ux7i4uKBPnz6Ij4/XqkyyM1JSBMM3i0zDolEz6Ea9xrAgugGb2sO43pQpU9ClSxfcfffdAIDM\nzEwAgJ+f6WMv9Xo9MjIyrF4f2R+5cAaG9YuB3LNXO9uEQXf/s1Cc6mlXGJEdsNnAePHFFxEfH4/t\n27dDMeNGKXPGUN0mqX/A8OPHV59hAUC5eyiUHkOgKDa9s01kE2wyMKZNm4Yvv/wSMTExCAwMVPv9\n/Y3PSM7KykLTpleXk87KylK3XSsqKkr9c3h4OMLDwy1VMtkwEYH8Hg3Ztg6Qy6eyHZ2NexVtu2pb\nHJHGYmNjERsba9ZYmwuMKVOmYN26dYiJiUHbtm1NtgUFBcHf3x/R0dEICwsDAJSUlGD79u1YsGBB\npe91bWBQ3STlZZBfVkEO7bja6Vkfur89D0XfXLvCiGzE9R+mZ82aVe1YmwqMSZMmYfXq1Vi/fj28\nvb3Vcxaenp5wd3eHoiiYOnUq5s6di+DgYLRp0wazZ8+Gp6cnRo0apXH1ZGukKA+G7z8EMo5e7Wzc\nyngllDuX+SC6WTYVGB999BEURcF9991n0h8VFYXXX38dABAREYHi4mJMmjQJOTk56NGjB6Kjo+Hu\n7q5FyWSj5Gya8c7tggtqnxLSC8p9Y6A4cllyolthU4FhMBjMGhcZGYnIyEgLV0P2Sg7vgWHz50B5\nqbFDUaD0GQEldCAvjiC6DTYVGES3Q8QA2fU9ZOeGq53OrtA9OAFKUEftCiOqJRgYVCtI2SXjXsWR\nvVc7ffTGk9sNmmhXGFEtwsAguyf552HYsAQ4e/JqZ/MOxj0LVw/tCiOqZRgYZNck4ygMGz4ALuar\nfcqd90EJHwlF56BhZUS1DwOD7Jbh0A7IzyuBinJjh84Byr2joevUV9vCiGopBgbZHSnKg8T8D3I4\n4Wqnqwd0Q/4BpWk77QojquUYGGTTJk8Zj9yCbLV9j48znvB3hYfj1bWf0ksqsCjlNLITpld6vY9n\nQyx57xOr1EpU2zEwyKblFmTjhbmD4FxYgha7T8ArK99ke3ZQQ2R3bYFRTlWfr1g8Y4s1yiSqExgY\nZNN0APR/nkHAgdPQVVy9sfOSez2k3RWIgsZc4oPIWhgYZLPk7Em83soTzfalX+1TgKx2/jjTKQAG\nR14FRWRNDAyyOVJWarxje89mBLle/Sd60ccVad2DcLEB760g0gIDg2yKpKfA8NMKIDdL7TPoFJzp\nGIDM9v6Ajg86ItIKA4NsgpRchPy6DvLHNpP+5KIylI8MxSUvV40qI6Ir+HGNNCdHfodhxWumYeHs\nCqX/U3grtZBhQWQjuIdBmpHCXBi2/hc4+rvphlZdoLtvNBQPXwje06Y4IqqEgUFWJyKQg79Ctn0J\nXCq+usHdG7p+o4A2YXxuBZENYmCQVUlOlvGk9qkUk37ljt7Ghxy58MmJRLaKgUFWIRXlkL3Rxocb\nVZRd3eCth27AU1Cat9euOCIyCwODLE6yTsAQvRw4d/UGPCg6KF0HQekxFIqTs2a1EZH5GBhkMVJ2\nCRL/HeT3aEDk6gZ9c+gGPAPFr4V2xRHRTWNgkEXIySQYfloJ5J272ungBKXnw1DCBvDhRkR2iIFB\nNUqKCyHbvoQc2mG6oVkwdP2fguLrp01hRHTbGBhUI0QEOLIHhq1rTB6XinpuUPo+BiXkHl4qS2Tn\nGBh026QgB4atq4FjiSb9StuuUPqNguLOJciJagMGBt0yKSmCHIiF/LYJKL32Bjwf6O57EkrrLtoV\nR0Q1joFBN03yz0N+/8m49lPZJZNtSqe+UHo/CqWem0bVEZGlMDDILJOnjIdnWQ4GN6yH7t7OcLzu\nfMSZSxVYdvoiUg6uB9asN9nG52oT1Q4MDLohEQHS/8T/1S9BR0+vStuLvV2R2d4fOS0aYJCDDoOq\n+B58rjZR7cDAoCqJoQJyeA9kz2bg7El09HQy2V6g90Rm+8bIb+IN8OonojqBgUEmpLQEcnC78e7s\n/POm2xQgp1l9ZLX352NSieogBgYBAKQoD5L4CyQxBrh00XSjozN+zsqH3zN3odTTRZsCiUhzDIw6\nTnIyIXuiIUk7gIpy042uHlDuvBfKnfdi1aSn8QLDgqhOY2DUUZJxFIY9W4Cj+wCI6UbvRlDCBkIJ\n6QXFqZ4m9RGR7WFg1CEiBuD4ARgSNgEZRysP8AuCrtsgoHUYFB0f905EphgYdYCUl0H+3AXZuwW4\ncKbygKCO0HUdDDRty/WeiKhaDIxaTF26Y98vQFGe6UadA5T2PaCEDYLSMECbAonIrjAwaqEbLd0B\nZ1fj8h1d+kPx9NWmQCKySwyMWkTOpUP2bIakJACGCtON7j5QQgdA6dSH6zwR0S1hYNgxEQNwNh2S\ndgiSegA4faTyoAZNoHS9H0pwdygO/N9NRLeO7yB2RgpzISeTgBMHIWlJQHFB1QObtoOu6/1AUEee\nyCaiGsHAsHFSXgacPgw5cQiSdgjIPlXtWIMI9uSXYWN2CVIP7gI27zLZzlVjieh2MDBsjIgA5zMg\naQchJ5KAUylARVm148vqOSLf3xv5jb2R39gLDq7OGFLNWK4aS0S3g4FhA6S4wHh4Ke0Q5MQhoCi3\n2rHlBsHFxl5qSBT7unG1WCKyCgaGBqSiHMg4ZjxZnXYIyEpDpeU5ruXrDyUwBEqLEPxj7ixMeLK7\ntUolIlIxMKxARIDcs8aAOHEQSE+ufH/Eteq5Ac3bQ2kRAiUwBIpXQ3XTJYPl6yUiqopdBsaHH36I\nd955B5mZmQgJCcGiRYtwzz33aF2WCSm5CKT/eTkkDgH52dUPVnRA45bGgGgRAvgHQtE5WK9YIiIz\n2F1gfPHFF5g6dSo++ugj3HPPPfjggw8wePBgJCUloVmzZlatRcrLgIv5xq+iPMjFfCD/PCQ9GThz\nHJAb7A54NcSVw0xo1h6KC2+mIyLbZneBsXDhQowdOxbPPvssAGDx4sXYvHkzPvroI8ydO/e2v79U\nlF8TAvmQi3lqIOBiPqToakBUetDQZbFHzyC8dWPTTqd6QLNgKIF3GEPCR1/j90fsjU9BWM92Nfo9\nbX3uujavlnPzZ647c1fHrgKjtLQUv//+OyIiIkz6Bw4ciPj4+GpfJ4YK4GIBcDHvaggUVRMKJUW3\nXWfcsTPo08ofJ4orcLCwDAcLy3G0OAcV+zLh43nQYvdC/B5/WLN/YFrNXdfm1XJu/sx1Z+7q2FVg\nZGdno6KiAn5+fib9er0emZmZlcZXrHjdGATFhbjhVUi3SBSgzMUJ5S5OKLv8Ve7ihJyk+vjjkVCU\nuzghAEAAgEGXX8N7IYjIXtlVYNy086dv4UUK4OYJuHkB7l5Q3Lwv/9n4X8XdG9Pfeh2PvRKO8nqO\nVd4DUfJLIspdnG6/fiIiWyJ25NKlS+Lo6ChfffWVSf8//vEPCQ8PN+nr3LmzwLhbwS9+8Ytf/DLz\nq3PnztW+B9vVHoazszPCwsIQHR2NRx55RO3/6aefMGLECJOxiYmJ1i6PiKhWs6vAAIAXX3wRY8aM\nwV133YWePXviP//5DzIzM/H3v/9d69KIiGo1uwuMxx57DOfPn8fs2bNx5swZdOzYERs3brT6PRhE\nRHWNIiKidRFERGT7dFoXQERE9sHuDklR9c6ePYvPPvsMgPEmx7y8PLz99ttwcqqdl/gWFRXhjTfe\nwB9//IE///wT3bp1w9q1a6HT8XMQ1Q6RkZGYNWuW1mWoGBi1RGpqKtatW4dXXnkFDg7GhQsfffRR\nLF26FBMmTNC4Osv45ZdfMGrUKHTu3Bl79+7Fnj17GBZUq5SVVf/wNC3wt6sWKCsrw/fff4+IiAg1\nLAAgJSUF7u7uFpkzKysLI0aMgJeXF0JDQ3Ho0CF1W25uLhYuXGiRea/l5eWFTz4xLrMSFhZWK4Nx\n6dKlmDlzJjp06ICYmJhK29PT0/Hvf/9bg8qs45FHHsGnn35q0vfAAw9g3bp1GlVkPQUFBfD29ta6\nDBMMjFrgiy++wJNPPlmpz9HRsdL9KTWhqKgIAwcOhF6vx4IFC9CtWzc88sgjKC8vBwAsW7YMo0eP\nrvF5r9e7d29s2rQJq1atsvhcWmnXrh3efPNNdO/eHWPGjEFFRYW6rbCwEAsXLsSUKVM0rNByioqK\n8P3336N169Zq3/nz57FlyxYEBQVpWJl1JCQkoHt3G3tYmgVuyK6Tli5dKs8995y8+eab8tRTT0l0\ndLS6raioyKJzL1q0SEREPvnkE3nppZekd+/eEhAQIOfPn7fIfO+8847ExMSY9H344YeyYcMGKSsr\nk+nTp1tk3usVFBTI2LFjpV69erJ7926rzCkicuHCBfnnP/8pQ4cOlSeffFI+/PBDi8+5c+dOURRF\nfvjhBxERqaiokIiICMnNzbXovFFRURIYGCi+vr6VtoWHh8sXX3xhsbmjo6PFxcVFLl26pPZ9++23\n4uXlJQaDwSJzJicny4oVK6rdPnLkSBk9erRF5r7eW2+9JYWFhVaZy1wMjNtkMBjkySeflJEjR0pF\nRYWIiOTn50uDBg3k6NGjIiLy8ssvW2z+9PR0WbdunYiIbNiwQV599VV5/vnnpUGDBvL6669bZM7Y\n2NhKfWVlZfLqq6/Kl19+Kfv27bPIvNfatGmTDBkyRA4dOiQdO3aU7t27W3xOEZHTp09Ly5YtZf78\n+VaZ71rBwcHy9NNPi4jI/PnzJTU11SrzTpgwQYYOHWrSd+jQIdHpdJKSkmKxeV977TW59957Tfqm\nTZsmDz74oMXmnD59uvp7XJWIiAhp3769xeY/fPiwTJs2TWbOnCnh4eHy5ptvyksvvSQ5OTkWm/Nm\nMDBu04IFC6RBgwZSUFBg0j9w4ECJioqSnTt3Vlr7qiatWbNGLly4UKl/2rRp0rFjR4vNW5WXX35Z\nZs6cafF5YmJiJDAwUP0lWrZsmSiKYvFP2yIiQ4YMkS5dulh8nqrMnDlTGjVqJCtXrpRdu3ZZbd7g\n4GBZsGCBSd+kSZPk4Ycftui8vXv3ljfffNOkLzQ0VN555x2LzJeUlFRpj+n77783CZD8/HwZPHiw\nReZfuXKl9OvXTzIzM+XSpUsSGRkpIsYPR717975hkFkLz2HchtLSUsyfPx9jx46Fh4eHyTa9Xo+T\nJ0/if//7n8m6VzWtoKAAvr6+lfrz8vKMzxK3ory8PPj7+1t8nokTJ2LKlCnw8fEBYDzhDcDkhL8l\nZGZm4ocffoCLiwvGjh2LsWPH4pVXXrHonNe6//77kZ2djdzcXKsd2z579ixSUlLQt29ftS8lJQX/\n/e9/8e6771ps3pKSEiQkJOCOO+5Q+/Ly8rB//36Eh4djz5492Lx5c43O+cMPP2DIkCFq++LFi3jy\nySdhMFx9cmZZWZlFHge9ZcsWzJgxA1999RX8/PwQHx+PHj16ADD+f09OTq7yogdr42W1tyE5ORnZ\n2dkYMGBApW0ODg7YsmUL1qxZY9EaqrvsbteuXbj33nstOvf1SktLLXKS/VrJyclISUnB0KFD1b6L\nFy+iadOmlUK7pqWmpgIA3nvvPXTr1s2ic1XFz88PiqJU+ewXS9m2bRs8PDwQGhoKACguLsbo0aPx\n6aefIjAw0GLz7t69G5cuXVL/fYsIoqKiICLo0KEDlixZgueff75G5zx16hRcXV3V9m+//Ybw8HA4\nOl59m/zPf/5jkQ+AL730EiZPnoz69esDALZv345p06ap2y9duoT8/Pwan/dmMTBuw5UrVqpax8rB\nwQE9e/ZEnz59LDZ/eno6jh8/Xqk/NjYWJ06cwMsvv2yxuavi5+eHRo0aWXSO4uJiAEDz5s3VvtjY\nWKtcldW0aVMAxlWTrS0vLw9Lly7F6NGjsXHjRsyZM8cq88bFxaFXr17Q6XQoKirCyJEjMW3aNDz6\n6KMWn7ddu3ZYvXo1kpOTUVpaiqlTp6KgoAD/+te/EBISYvLmXhNSU1ORl5cHb29viAhWrFiB8PBw\nk5oOHDiAGTNm1Oi82dnZSEpKMvmAV1BQoF4S/9tvv6G4uBg9e/as0XlvBQPjNnTu3Blt2rTBn3/+\nifbt2wMwfhL64osvcPLkSfV/+J49e9C1a9can3/Hjh0oLi5GVlaW+hTC06dP47nnnsPq1avRokWL\nGp+zOjk5OcjNzbX4PCEhIQgMDERiYiK6du2KoqIirF27Fhs3brT43M2aNcOQIUPw448/onPnzgCA\n8vJyFBUVWfR6+fLycsyZMwdRUVHYvHk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