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@icecrime
Last active July 29, 2018 14:02
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XKCD style graph
## Credits: https://jakevdp.github.io/blog/2012/10/07/xkcd-style-plots-in-matplotlib/
import numpy as np
import pylab as pl
from scipy import interpolate, signal
import matplotlib.font_manager as fm
import matplotlib.pyplot as plt
# We need a special font for the code below. It can be downloaded this way:
import os
import urllib2
if not os.path.exists('Humor-Sans.ttf'):
fhandle = urllib2.urlopen('http://antiyawn.com/uploads/Humor-Sans-1.0.ttf')
open('Humor-Sans.ttf', 'wb').write(fhandle.read())
def xkcd_line(x, y, xlim=None, ylim=None,
mag=1.0, f1=30, f2=0.05, f3=15):
"""
Mimic a hand-drawn line from (x, y) data
Parameters
----------
x, y : array_like
arrays to be modified
xlim, ylim : data range
the assumed plot range for the modification. If not specified,
they will be guessed from the data
mag : float
magnitude of distortions
f1, f2, f3 : int, float, int
filtering parameters. f1 gives the size of the window, f2 gives
the high-frequency cutoff, f3 gives the size of the filter
Returns
-------
x, y : ndarrays
The modified lines
"""
x = np.asarray(x)
y = np.asarray(y)
# get limits for rescaling
if xlim is None:
xlim = (x.min(), x.max())
if ylim is None:
ylim = (y.min(), y.max())
if xlim[1] == xlim[0]:
xlim = ylim
if ylim[1] == ylim[0]:
ylim = xlim
# scale the data
x_scaled = (x - xlim[0]) * 1. / (xlim[1] - xlim[0])
y_scaled = (y - ylim[0]) * 1. / (ylim[1] - ylim[0])
# compute the total distance along the path
dx = x_scaled[1:] - x_scaled[:-1]
dy = y_scaled[1:] - y_scaled[:-1]
dist_tot = np.sum(np.sqrt(dx * dx + dy * dy))
# number of interpolated points is proportional to the distance
Nu = int(200 * dist_tot)
u = np.arange(-1, Nu + 1) * 1. / (Nu - 1)
# interpolate curve at sampled points
k = min(3, len(x) - 1)
res = interpolate.splprep([x_scaled, y_scaled], s=0, k=k)
x_int, y_int = interpolate.splev(u, res[0])
# we'll perturb perpendicular to the drawn line
dx = x_int[2:] - x_int[:-2]
dy = y_int[2:] - y_int[:-2]
dist = np.sqrt(dx * dx + dy * dy)
# create a filtered perturbation
coeffs = mag * np.random.normal(0, 0.01, len(x_int) - 2)
b = signal.firwin(f1, f2 * dist_tot, window=('kaiser', f3))
response = signal.lfilter(b, 1, coeffs)
x_int[1:-1] += response * dy / dist
y_int[1:-1] += response * dx / dist
# un-scale data
x_int = x_int[1:-1] * (xlim[1] - xlim[0]) + xlim[0]
y_int = y_int[1:-1] * (ylim[1] - ylim[0]) + ylim[0]
return x_int, y_int
def XKCDify(ax, mag=1.0,
f1=50, f2=0.01, f3=15,
bgcolor='w',
xaxis_loc=None,
yaxis_loc=None,
xaxis_arrow='+',
yaxis_arrow='+',
ax_extend=0.1,
expand_axes=False):
"""Make axis look hand-drawn
This adjusts all lines, text, legends, and axes in the figure to look
like xkcd plots. Other plot elements are not modified.
Parameters
----------
ax : Axes instance
the axes to be modified.
mag : float
the magnitude of the distortion
f1, f2, f3 : int, float, int
filtering parameters. f1 gives the size of the window, f2 gives
the high-frequency cutoff, f3 gives the size of the filter
xaxis_loc, yaxis_log : float
The locations to draw the x and y axes. If not specified, they
will be drawn from the bottom left of the plot
xaxis_arrow, yaxis_arrow : str
where to draw arrows on the x/y axes. Options are '+', '-', '+-', or ''
ax_extend : float
How far (fractionally) to extend the drawn axes beyond the original
axes limits
expand_axes : bool
if True, then expand axes to fill the figure (useful if there is only
a single axes in the figure)
"""
# Get axes aspect
ext = ax.get_window_extent().extents
aspect = (ext[3] - ext[1]) / (ext[2] - ext[0])
xlim = ax.get_xlim()
ylim = ax.get_ylim()
xspan = xlim[1] - xlim[0]
yspan = ylim[1] - xlim[0]
xax_lim = (xlim[0] - ax_extend * xspan,
xlim[1] + ax_extend * xspan)
yax_lim = (ylim[0] - ax_extend * yspan,
ylim[1] + ax_extend * yspan)
if xaxis_loc is None:
xaxis_loc = ylim[0]
if yaxis_loc is None:
yaxis_loc = xlim[0]
# Draw axes
xaxis = pl.Line2D([xax_lim[0], xax_lim[1]], [xaxis_loc, xaxis_loc],
linestyle='-', color='k')
yaxis = pl.Line2D([yaxis_loc, yaxis_loc], [yax_lim[0], yax_lim[1]],
linestyle='-', color='k')
# Label axes3, 0.5, 'hello', fontsize=14)
ax.text(xax_lim[1], xaxis_loc - 0.02 * yspan, ax.get_xlabel(),
fontsize=14, ha='right', va='top', rotation=12)
ax.text(yaxis_loc - 0.02 * xspan, yax_lim[1], ax.get_ylabel(),
fontsize=14, ha='right', va='top', rotation=78)
ax.set_xlabel('')
ax.set_ylabel('')
# Add title
ax.text(0.5 * (xax_lim[1] + xax_lim[0]), yax_lim[1],
ax.get_title(),
ha='center', va='bottom', fontsize=16)
ax.set_title('')
Nlines = len(ax.lines)
lines = [xaxis, yaxis] + [ax.lines.pop(0) for i in range(Nlines)]
for line in lines:
x, y = line.get_data()
x_int, y_int = xkcd_line(x, y, xlim, ylim,
mag, f1, f2, f3)
# create foreground and background line
lw = line.get_linewidth()
line.set_linewidth(2 * lw)
line.set_data(x_int, y_int)
# don't add background line for axes
if (line is not xaxis) and (line is not yaxis):
line_bg = pl.Line2D(x_int, y_int, color=bgcolor,
linewidth=8 * lw)
ax.add_line(line_bg)
ax.add_line(line)
# Draw arrow-heads at the end of axes lines
arr1 = 0.03 * np.array([-1, 0, -1])
arr2 = 0.02 * np.array([-1, 0, 1])
arr1[::2] += np.random.normal(0, 0.005, 2)
arr2[::2] += np.random.normal(0, 0.005, 2)
x, y = xaxis.get_data()
if '+' in str(xaxis_arrow):
ax.plot(x[-1] + arr1 * xspan * aspect,
y[-1] + arr2 * yspan,
color='k', lw=2)
if '-' in str(xaxis_arrow):
ax.plot(x[0] - arr1 * xspan * aspect,
y[0] - arr2 * yspan,
color='k', lw=2)
x, y = yaxis.get_data()
if '+' in str(yaxis_arrow):
ax.plot(x[-1] + arr2 * xspan * aspect,
y[-1] + arr1 * yspan,
color='k', lw=2)
if '-' in str(yaxis_arrow):
ax.plot(x[0] - arr2 * xspan * aspect,
y[0] - arr1 * yspan,
color='k', lw=2)
# Change all the fonts to humor-sans.
prop = fm.FontProperties(fname='Humor-Sans.ttf', size=16)
for text in ax.texts:
text.set_fontproperties(prop)
# modify legend
leg = ax.get_legend()
if leg is not None:
leg.set_frame_on(False)
for child in leg.get_children():
if isinstance(child, pl.Line2D):
x, y = child.get_data()
#child.set_data(xkcd_line(x, y, mag=10, f1=100, f2=0.001))
#child.set_linewidth(2 * child.get_linewidth())
if isinstance(child, pl.Text):
child.set_fontproperties(prop)
# Set the axis limits
ax.set_xlim(xax_lim[0] - 0.1 * xspan,
xax_lim[1] + 0.1 * xspan)
ax.set_ylim(yax_lim[0] - 0.1 * yspan,
yax_lim[1] + 0.1 * yspan)
# adjust the axes
ax.set_xticks([])
ax.set_yticks([])
if expand_axes:
ax.figure.set_facecolor(bgcolor)
ax.set_axis_off()
ax.set_position([0, 0, 1, 1])
return ax
# define the curves
x = np.linspace(0, 1)
# draw the curves
ax = pl.axes()
ax.plot(x, 0.25 * x, c='gray', label='politics')
ax.plot([0, 0.5, 1], [1, 0.3, 0.2], c='red', label='hard work')
ax.plot([0, 0.5, 1], [0.25, 0.4, 0.8], c='blue', label='initial negotiation')
ax.text(0.5, -0.03, "100")
ax.text( 1, -0.03, "200")
ax.set_title('rewards and growth')
ax.set_xlabel('company size')
ax.set_ylabel('reward')
ax.legend(bbox_to_anchor=(0.5, 0.7))
ax.set_xlim(0, 1)
ax.set_ylim(0, 1)
# modify all the axes elements in-place
XKCDify(ax, expand_axes=True)
plt.show()
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