{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matplotlib"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matplotlib is a python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. matplotlib can be used in python scripts, the python and ipython shell, web application servers, and six graphical user interface toolkits.\n",
"\n",
"Matplotlib tries to make easy things easy and hard things possible. You can generate plots, histograms, power spectra, bar charts, errorcharts, scatterplots, etc, with just a few lines of code.\n",
"\n",
"Library documentation: http://matplotlib.org/"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# needed to display the graphs\n",
"%matplotlib inline\n",
"from pylab import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = linspace(0, 5, 10)\n",
"y = x ** 2\n",
"\n",
"fig = plt.figure()\n",
"\n",
"# left, bottom, width, height (range 0 to 1)\n",
"axes = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
"\n",
"axes.plot(x, y, 'r')\n",
"\n",
"axes.set_xlabel('x')\n",
"axes.set_ylabel('y')\n",
"axes.set_title('title');"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n",
"axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n",
"\n",
"# main figure\n",
"axes1.plot(x, y, 'r')\n",
"axes1.set_xlabel('x')\n",
"axes1.set_ylabel('y')\n",
"axes1.set_title('title')\n",
"\n",
"# insert\n",
"axes2.plot(y, x, 'g')\n",
"axes2.set_xlabel('y')\n",
"axes2.set_ylabel('x')\n",
"axes2.set_title('insert title');"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"RK5CYII=\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2)\n",
"\n",
"for ax in axes:\n",
" ax.plot(x, y, 'r')\n",
" ax.set_xlabel('x')\n",
" ax.set_ylabel('y')\n",
" ax.set_title('title')\n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# example with a legend and latex symbols\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
"ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
"ax.legend(loc=2) # upper left corner\n",
"ax.set_xlabel(r'$\\alpha$', fontsize=18)\n",
"ax.set_ylabel(r'$y$', fontsize=18)\n",
"ax.set_title('title');"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# line customization\n",
"fig, ax = plt.subplots(figsize=(12,6))\n",
"\n",
"ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n",
"ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n",
"ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n",
"ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n",
"\n",
"# possible linestype options ‘-‘, ‘–’, ‘-.’, ‘:’, ‘steps’\n",
"ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n",
"ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n",
"ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n",
"\n",
"# custom dash\n",
"line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n",
"line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n",
"\n",
"# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', \n",
"# '1', '2', '3', '4', ...\n",
"ax.plot(x, x+ 9, color=\"green\", lw=2, ls='*', marker='+')\n",
"ax.plot(x, x+10, color=\"green\", lw=2, ls='*', marker='o')\n",
"ax.plot(x, x+11, color=\"green\", lw=2, ls='*', marker='s')\n",
"ax.plot(x, x+12, color=\"green\", lw=2, ls='*', marker='1')\n",
"\n",
"# marker size and color\n",
"ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n",
"ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n",
"ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, \n",
" markerfacecolor=\"red\")\n",
"ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n",
" markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# axis controls\n",
"fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
"\n",
"axes[0].plot(x, x**2, x, x**3)\n",
"axes[0].set_title(\"default axes ranges\")\n",
"\n",
"axes[1].plot(x, x**2, x, x**3)\n",
"axes[1].axis('tight')\n",
"axes[1].set_title(\"tight axes\")\n",
"\n",
"axes[2].plot(x, x**2, x, x**3)\n",
"axes[2].set_ylim([0, 60])\n",
"axes[2].set_xlim([2, 5])\n",
"axes[2].set_title(\"custom axes range\");"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# scaling\n",
"fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
" \n",
"axes[0].plot(x, x**2, x, exp(x))\n",
"axes[0].set_title(\"Normal scale\")\n",
"\n",
"axes[1].plot(x, x**2, x, exp(x))\n",
"axes[1].set_yscale(\"log\")\n",
"axes[1].set_title(\"Logarithmic scale (y)\");"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# axis grid\n",
"fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
"\n",
"# default grid appearance\n",
"axes[0].plot(x, x**2, x, x**3, lw=2)\n",
"axes[0].grid(True)\n",
"\n",
"# custom grid appearance\n",
"axes[1].plot(x, x**2, x, x**3, lw=2)\n",
"axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"RK5CYII=\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# twin axes example\n",
"fig, ax1 = plt.subplots()\n",
"\n",
"ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
"ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
"for label in ax1.get_yticklabels():\n",
" label.set_color(\"blue\")\n",
" \n",
"ax2 = ax1.twinx()\n",
"ax2.plot(x, x**3, lw=2, color=\"red\")\n",
"ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
"for label in ax2.get_yticklabels():\n",
" label.set_color(\"red\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# other plot styles\n",
"xx = np.linspace(-0.75, 1., 100)\n",
"n = array([0,1,2,3,4,5])\n",
"\n",
"fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
"\n",
"axes[0].scatter(xx, xx + 0.25*randn(len(xx)))\n",
"axes[0].set_title(\"scatter\")\n",
"\n",
"axes[1].step(n, n**2, lw=2)\n",
"axes[1].set_title(\"step\")\n",
"\n",
"axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
"axes[2].set_title(\"bar\")\n",
"\n",
"axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n",
"axes[3].set_title(\"fill_between\");"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# histograms\n",
"n = np.random.randn(100000)\n",
"fig, axes = plt.subplots(1, 2, figsize=(12,4))\n",
"\n",
"axes[0].hist(n)\n",
"axes[0].set_title(\"Default histogram\")\n",
"axes[0].set_xlim((min(n), max(n)))\n",
"\n",
"axes[1].hist(n, cumulative=True, bins=50)\n",
"axes[1].set_title(\"Cumulative detailed histogram\")\n",
"axes[1].set_xlim((min(n), max(n)));"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# annotations\n",
"fig, ax = plt.subplots()\n",
"\n",
"ax.plot(xx, xx**2, xx, xx**3)\n",
"\n",
"ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
"ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# color map\n",
"alpha = 0.7\n",
"phi_ext = 2 * pi * 0.5\n",
"\n",
"def flux_qubit_potential(phi_m, phi_p):\n",
" return ( + alpha - 2 * cos(phi_p)*cos(phi_m) - \n",
" alpha * cos(phi_ext - 2*phi_p))\n",
"\n",
"phi_m = linspace(0, 2*pi, 100)\n",
"phi_p = linspace(0, 2*pi, 100)\n",
"X,Y = meshgrid(phi_p, phi_m)\n",
"Z = flux_qubit_potential(X, Y).T\n",
"\n",
"fig, ax = plt.subplots()\n",
"\n",
"p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, \n",
" cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
"cb = fig.colorbar(p, ax=ax)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from mpl_toolkits.mplot3d.axes3d import Axes3D"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# surface plots\n",
"fig = plt.figure(figsize=(14,6))\n",
"\n",
"# `ax` is a 3D-aware axis instance because of the projection='3d' \n",
"# keyword argument to add_subplot\n",
"ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
"\n",
"p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
"\n",
"# surface_plot with color grading and color bar\n",
"ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
"p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, \n",
" cmap=cm.coolwarm, linewidth=0, antialiased=False)\n",
"cb = fig.colorbar(p, shrink=0.5)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# wire frame\n",
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
"\n",
"p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# contour plot with projections\n",
"fig = plt.figure(figsize=(8,6))\n",
"\n",
"ax = fig.add_subplot(1,1,1, projection='3d')\n",
"\n",
"ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
"cset = ax.contour(X, Y, Z, zdir='z', offset=-pi, cmap=cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='x', offset=-pi, cmap=cm.coolwarm)\n",
"cset = ax.contour(X, Y, Z, zdir='y', offset=3*pi, cmap=cm.coolwarm)\n",
"\n",
"ax.set_xlim3d(-pi, 2*pi);\n",
"ax.set_ylim3d(0, 3*pi);\n",
"ax.set_zlim3d(-pi, 2*pi);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}