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# Matplotlib logarithmic scatter plot

Can anyone give any suggestions on how to make a logarithmic (base 10)
x and y axis (loglog) plot in matplotlib? The scatter function doesn't
seem to have any log functionality built into it.

Thanks,
Derek Basch

P.S. I suck at math so feel free to make me feel stupid if it is really
easy to do :).

Feb 27 '06 #1
8 30282
Try this, don't know if this works for al versions:

from pylab import *
x=10**linspace(0,5,100)
y=1/(1+x/1000)
loglog(x,y)
show()

If you only need a logarithm along one axis you can use semilogx() or
semilogy(). For more detailed questions go to the matplotlib mailing
list.

Cheers,
Bas

Feb 27 '06 #2
Thanks for the reply. I need a scatter plot though. Can that be done?

Feb 27 '06 #3
>>>>> "Derek" == Derek Basch <db****@yahoo.com> writes:

Derek> Thanks for the reply. I need a scatter plot though. Can
Derek> that be done?

You can set the scale of xaxis and yaxis to either log or linear for
scatter plots

In [33]: ax = subplot(111)

In [34]: ax.scatter( 1e6*rand(1000), rand(1000))
Out[34]: <matplotlib.collections.RegularPolyCollection instance at
0x9c32fac>

In [35]: ax.set_xscale('log')

In [36]: ax.set_xlim(1e-6,1e6)
Out[36]: (9.9999999999999995e-07, 1000000.0)

In [37]: draw()

Feb 27 '06 #4
Great! That worked fine after I played with it for a bit. One last
question though. How do I label the ticks with the product of the
exponentiation? For instance:

100

10**2

Thanks for all the help,
Derek Basch

Feb 28 '06 #5
>>>>> "Derek" == Derek Basch <db****@yahoo.com> writes:

Derek> Great! That worked fine after I played with it for a
Derek> bit. One last question though. How do I label the ticks
Derek> with the product of the exponentiation? For instance:

Derek> 100

Derek> 10**2

You can supply your own custom tick formatters (and locators). See

http://matplotlib.sf.net/matplotlib.ticker.html

and examples

http://matplotlib.sourceforge.net/ex...tom_ticker1.py
http://matplotlib.sourceforge.net/ex...minor_demo1.py
http://matplotlib.sourceforge.net/ex...minor_demo2.py

JDH
Feb 28 '06 #6
Thanks again. Here is the finished product. Maybe it will help someone
in the future:

from pylab import *

def log_10_product(x, pos):
"""The two args are the value and tick position.
Label ticks with the product of the exponentiation"""
return '%1i' % (x)

ax = subplot(111)
# Axis scale must be set prior to declaring the Formatter
# If it is not the Formatter will use the default log labels for ticks.
ax.set_xscale('log')
ax.set_yscale('log')

formatter = FuncFormatter(log_10_product)
ax.xaxis.set_major_formatter(formatter)
ax.yaxis.set_major_formatter(formatter)

ax.scatter( [3, 5, 70, 700, 900], [4, 8, 120, 160, 200], s=8, c='b',
marker='s', faceted=False)
ax.scatter( [1000, 2000, 3000, 4000, 5000], [2000, 4000, 6000, 8000,
1000], s=8, c='r', marker='s', faceted=False)

ax.set_xlim(1e-1, 1e5)
ax.set_ylim(1e-1, 1e5)
grid(True)
xlabel(r"Result", fontsize = 12)
ylabel(r"Prediction", fontsize = 12)

show()

Feb 28 '06 #7
>>>>> "Derek" == Derek Basch <db****@yahoo.com> writes:

Derek> formatter = FuncFormatter(log_10_product)
Derek> ax.xaxis.set_major_formatter(formatter)
Derek> ax.yaxis.set_major_formatter(formatter)

I would caution you against using identical objects for the x and y
axis *Locators*. For the formatters, it will do no harm, but for the
locators you can get screwed up because the locator object reads the
axis data and view limits when making it's choices.

Ie, do not do this:

ax.xaxis.set_major_locator(locator)
ax.yaxis.set_major_locator(locator)

but rather do this

ax.xaxis.set_major_locator(MyLocator())
ax.yaxis.set_major_locator(Mylocator())

Thanks for the example,
JDH
Mar 1 '06 #8
Good tip John. Hopefully it will help someone out. Thanks again.
Derek Basch

Mar 1 '06 #9

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