\n",
"\n",
"Make sure to use at least version 0.1.6 of the `matplotlib-inline` package\n",
"(which is an automatic dependency of the `ipython` package).\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By default, the plots created with the \"inline\" backend have the wrong size.\n",
"More specifically, PNG plots (the default) will be slightly larger than SVG plots\n",
"(see below for an example)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This can be fixed easily by creating a file named `matplotlibrc`\n",
"(in the directory where your Jupyter notebooks live)\n",
"and adding the following line:\n",
"\n",
" figure.dpi: 96\n",
"\n",
"If you are using Git to manage your files,\n",
"don't forget to commit this local configuration file to your repository.\n",
"Different directories can have different local configurations.\n",
"If a given configuration should apply to multiple directories,\n",
"symbolic links can be created in each directory.\n",
"\n",
"For more details about `matplotlibrc` files, have a look at the\n",
"[Matplotlib docs](https://matplotlib.org/stable/tutorials/introductory/customizing.html#the-matplotlibrc-file)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you want to use SVG plots by default (or if you want to use PDF plots for nicer PDF exports), read the section [Changing the Default Format](#Changing-the-Default-Format) below."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you are using `nbsphinx` to publish your notebooks, have a look at https://nbsphinx.readthedocs.io/code-cells.html#Plots for how to use SVG and PDF plots."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is all you really need to know, but if you want to read about a few more details, just keep reading.\n",
"\n",
"You might also be interested in [Getting Started with Matplotlib](matplotlib.ipynb)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Details\n",
"\n",
"The settings of Matplotlib, IPython and Jupyter notebook tend to change from time to time.\n",
"Therefore, the information in this notebook might be outdated.\n",
"This is the date when it was last executed:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2022-09-18\n"
]
}
],
"source": [
"!date +%F"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If that's more than a few months in the past, you should probably not read the rest of this notebook."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Before version 0.1.6 of the `matplotlib-inline` package\n",
"(which is an automatic dependency of the `ipython` package),\n",
"the \"inline\" PNG plots are much too small.\n",
"That's because the plot resolution was overwritten to be 72 DPI (= \"dots per inch\").\n",
"This is appropriate for the [Qt Console](https://qtconsole.readthedocs.io/),\n",
"but it's too small for the Jupyter notebook."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since version 0.1.6 of the `matplotlib-inline` package,\n",
"this override has been removed\n",
"(see https://github.com/ipython/matplotlib-inline/pull/14),\n",
"which means that now Matplotlib's original default value of 100 DPI is used.\n",
"Sadly, that's now a bit too large!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The correct value for PNG plots is 96 DPI,\n",
"which makes them the same size as SVG plots in the browser.\n",
"And they are the same size as PDF plots when used in LaTeX.\n",
"Also, when properly converted to LaTeX/PDF and printed on paper,\n",
"the figure size in inch should correspond to the actual size of the plot.\n",
"\n",
"The resolution can be changed with the `'figure.dpi'` setting as shown above.\n",
"\n",
"Note that the actual *size* of the plots (in inches) can still be influenced with the `figsize` option."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data = 4, 9, 7, 20, 6, 33, 13, 23, 16, 62, 8"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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