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Created August 9, 2012 04:37
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2x plots for Retina displays with matplotlib and the IPython Notebook
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{
"metadata": {
"name": "Retina Figures"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"2x plots with matplotlib and the IPython Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This illustrates some basic steps to enabling 2x PNG matplotlib plots in the IPython notebook\n",
"for use with your fancy new double-density display."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
"For more information, type 'help(pylab)'.\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's make a simple PNG plot:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"\n",
"plt.plot(np.random.rand(100))\n",
"fig = plt.gcf()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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gq6gTqWr0vMIViTyLJjg78hQ8T3HoEryfhP0QFRzr7SUbfASRpoIXWTQ2K/ig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\nJg8AAAAASUVORK5CYII=\n"
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now double the DPI, so we are making 2x plots:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib\n",
"matplotlib.rcParams['savefig.dpi'] = 2 * matplotlib.rcParams['savefig.dpi']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(np.random.rand(100))\n",
"fig2x = gcf()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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5n/+JKVOm4Oqrr8bChQtTW0ymtd655557cPvtt+Nb3/oW7r33XuzevRuHHnoo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\n2B34nh7g3Xf53+LAT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}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But this PNG is now just twice as big and twice as ugly.\n",
"This is because the DPI of PNGs is generally completely ignored.\n",
"\n",
"We need to do some tinkering to disable the raw PNG display of figures,\n",
"and replace it with simple HTML that scales for 2x display."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, disable existing PNG formatters:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib\n",
"\n",
"ip = get_ipython()\n",
"\n",
"png_formatter = ip.display_formatter.formatters['image/png']\n",
"png_formatter.type_printers.pop(matplotlib.figure.Figure, None)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<function IPython.core.pylabtools.<lambda>>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now define our png2x function that displays figures as 2x PNGs via HTML:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from base64 import encodestring\n",
"\n",
"import matplotlib\n",
"\n",
"from IPython.display import display, HTML\n",
"from IPython.core.pylabtools import print_figure\n",
"\n",
"def png2x(fig):\n",
" \"\"\"render figure to 2x PNG via HTML\"\"\"\n",
" x,y = matplotlib.rcParams['figure.figsize']\n",
" dpi = matplotlib.rcParams['savefig.dpi']\n",
" x2x = int(x * dpi / 2)\n",
" y2x = int(y * dpi / 2)\n",
" png = print_figure(fig, 'png')\n",
" png64 = encodestring(png).decode('ascii')\n",
" return u\"<img src='data:image/png;base64,%s' width=%i height=%i/>\" % (png64, x2x, y2x)\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And let's test it out:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display(HTML(png2x(fig2x)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
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"' width=432 height=288/>"
],
"output_type": "display_data",
"text": [
"<IPython.core.display.HTML at 0x107cda990>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hopefully that's about right.\n",
"\n",
"Now let's register it as the default formatter:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"html_formatter = ip.display_formatter.formatters['text/html']\n",
"html_formatter.for_type(matplotlib.figure.Figure, png2x)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display(fig2x)"
],
"language": "python",
"metadata": {},
"outputs": [
{
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],
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x107c8d0d0>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The next step shouldn't be necessary, but until IPython is patched, this is a workaround.\n",
"\n",
"What we are doing is disabling the post-execute function that automatically publishes all figures as PNG,\n",
"and replaces it with our own that publishes all figures with the plain display function."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib._pylab_helpers import Gcf\n",
"\n",
"from IPython.zmq.pylab.backend_inline import flush_figures\n",
"ip._post_execute.pop(flush_figures, None)\n",
"\n",
"def new_flush_figures():\n",
" try:\n",
" for figure_manager in Gcf.get_all_fig_managers():\n",
" display(figure_manager.canvas.figure)\n",
" finally:\n",
" matplotlib.pyplot.close('all')\n",
"\n",
"ip.register_post_execute(new_flush_figures)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can just start plotting with 2x figures:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(rand(100))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 11,
"text": [
"[<matplotlib.lines.Line2D at 0x107d60e50>]"
]
},
{
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"' width=432 height=288/>"
],
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x107ce6f90>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hopefully that helps some people who come across [#2234](https://github.com/ipython/ipython/issues/2234)"
]
}
],
"metadata": {}
}
]
}
@fordhurley
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For anyone stumbling across this, as of PR #3381, you can now enable 2x images by just adding the line:

%config InlineBackend.figure_format = 'retina'

to your notebook.

Thanks!

@mmontag
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mmontag commented Aug 29, 2016

@fordhurley Wow, thanks :)

@ijoseph
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ijoseph commented Oct 13, 2017

Is there a way to add this to a global config file somewhere?

@skaldo
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skaldo commented Nov 19, 2017

@fordhurley awesome, thank you!

@mitchallain
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@ijoseph, add the following line to your ipython_kernel_config.py, which for me is in ~/.ipython/profile_default/

c.InlineBackend.figure_format = 'retina'

If the file does not already exist, you can generate it with all settings commented out by entering ipython profile create at the command line.

@geyang
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geyang commented Jun 10, 2018

6 years later, this thread is still going strong 😄

@rxa254
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rxa254 commented Sep 10, 2019

+1

@BKJackson
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Great gist.

@bhattg
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bhattg commented Apr 17, 2020

+1

@gr8den
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gr8den commented Sep 18, 2020

@micaleel
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Still useful in 2020! 🎉

@pifparfait
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Hi,
Would anyone know how to disable this after activating it? I don't want to delete it. I want to use it for one case and stop using it for another. I'm on jupyter notebook. c.InlineBackend.figure_format = 'retina'

Many thanks
Parfait

@dirroo
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dirroo commented Feb 12, 2024

import matplotlib.pyplot as plt
import numpy as np
import math
fig = plt.figure()
x = np.arange(0,0.3,0.0000001)
s=all(-0.5/x)
k=all(-0.125/x)
j= np.(1+math.exp(s))
m=np.(1+math.exp(k))
n=0.125np.log(j/m)
f=0.032
np.log(j/m)
r=f/n
fig, ax = plt.subplots()
ax.plot(x,r, 'g')
ax.set_xlabel(' Temprature difference')
ax.set_ylabel('Objective function')
ax.set_title('Escaled power vs Temprature difference' )
ax.legend()

@dirroo
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dirroo commented Feb 12, 2024

please help with this code

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