Skip to content

Instantly share code, notes, and snippets.

@baldwint
Created June 25, 2013 20:19
Show Gist options
  • Save baldwint/5861989 to your computer and use it in GitHub Desktop.
Save baldwint/5861989 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "dualunits"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Dual unit ticks in matplotlib\n",
"\n",
"J. Ben Deaton posted a great example [on his blog](http://onlyamodel.com/2009/dual-units-in-scientific-plots/) of how to tick a set of axes using two sets of units. I modified his script to be a little bit more concise."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"\n",
"# Random data\n",
"a = [77.5, 78.3, 80.2, 83.5, 88.5, 96.2]\n",
"b = [0.0, 2.0, 4.0, 6.0, 8.0, 10.0]\n",
"\n",
"# Prepare first plot:\n",
"ax1 = subplot(111)\n",
"plot(a, b, 'bo-', ms=20, lw=2, mfc='cyan')\n",
"xlabel('Temperature (F)', fontsize=20)\n",
"ylabel('Depth (in)', fontsize=20)\n",
"\n",
"# Define conversion functions between original and dual axes\n",
"def xconv(x):\n",
" return (x - 32.0) / 1.8 # Fahrenheit to Celsius\n",
"def yconv(y):\n",
" return y * 2.54 # Inch to centimeter\n",
"\n",
"# right Y-AXIS properties\n",
"tx = ax1.twinx()\n",
"tx.set_ylabel('Depth (cm)', fontsize=20)\n",
"tx.set_ylim(yconv(y) for y in ax1.get_ylim())\n",
"\n",
"# top X-AXIS properties\n",
"ty = ax1.twiny()\n",
"ty.set_xlabel('Temperature (C)', fontsize=20)\n",
"ty.set_xlim(xconv(x) for x in ax1.get_xlim())\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n",
"For more information, type 'help(pylab)'.\n"
]
},
{
"output_type": "pyout",
"prompt_number": 1,
"text": [
"(23.888888888888889, 37.777777777777779)"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAasAAAExCAYAAADC7I1IAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncRzHzXg8WXEcx3Ez3j9XmL/UYv8nZgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108ae1950>"
]
}
],
"prompt_number": 1
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment