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Tick locating and formatting
============================
This module contains classes to support completely configurable tick
locating and formatting. Although the locators know nothing about
major or minor ticks, they are used by the Axis class to support major
and minor tick locating and formatting. Generic tick locators and
formatters are provided, as well as domain specific custom ones..
Tick locating
-------------
The Locator class is the base class for all tick locators. The
locators handle autoscaling of the view limits based on the data
limits, and the choosing of tick locations. A useful semi-automatic
tick locator is MultipleLocator. You initialize this with a base, eg
10, and it picks axis limits and ticks that are multiples of your
base.
The Locator subclasses defined here are
:class:`NullLocator`
No ticks
:class:`FixedLocator`
Tick locations are fixed
:class:`IndexLocator`
locator for index plots (eg. where x = range(len(y)))
:class:`LinearLocator`
evenly spaced ticks from min to max
:class:`LogLocator`
logarithmically ticks from min to max
:class:`MultipleLocator`
ticks and range are a multiple of base;
either integer or float
:class:`OldAutoLocator`
choose a MultipleLocator and dyamically reassign it for
intelligent ticking during navigation
:class:`MaxNLocator`
finds up to a max number of ticks at nice locations
:class:`AutoLocator`
:class:`MaxNLocator` with simple defaults. This is the default
tick locator for most plotting.
There are a number of locators specialized for date locations - see
the dates module
You can define your own locator by deriving from Locator. You must
override the __call__ method, which returns a sequence of locations,
and you will probably want to override the autoscale method to set the
view limits from the data limits.
If you want to override the default locator, use one of the above or a
custom locator and pass it to the x or y axis instance. The relevant
methods are::
ax.xaxis.set_major_locator( xmajorLocator )
ax.xaxis.set_minor_locator( xminorLocator )
ax.yaxis.set_major_locator( ymajorLocator )
ax.yaxis.set_minor_locator( yminorLocator )
The default minor locator is the NullLocator, eg no minor ticks on by
default.
Tick formatting
---------------
Tick formatting is controlled by classes derived from Formatter. The
formatter operates on a single tick value and returns a string to the
axis.
:class:`NullFormatter`
no labels on the ticks
:class:`IndexFormatter`
set the strings from a list of labels
:class:`FixedFormatter`
set the strings manually for the labels
:class:`FuncFormatter`
user defined function sets the labels
:class:`FormatStrFormatter`
use a sprintf format string
:class:`ScalarFormatter`
default formatter for scalars; autopick the fmt string
:class:`LogFormatter`
formatter for log axes
You can derive your own formatter from the Formatter base class by
simply overriding the ``__call__`` method. The formatter class has access
to the axis view and data limits.
To control the major and minor tick label formats, use one of the
following methods::
ax.xaxis.set_major_formatter( xmajorFormatter )
ax.xaxis.set_minor_formatter( xminorFormatter )
ax.yaxis.set_major_formatter( ymajorFormatter )
ax.yaxis.set_minor_formatter( yminorFormatter )
See :ref:`pylab_examples-major_minor_demo1` for an example of setting
major an minor ticks. See the :mod:`matplotlib.dates` module for
more information and examples of using date locators and formatters.
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some classes may want to replace a hyphen for minus with the
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Place a tick on every multiple of some base number of points
plotted, eg on every 5th point. It is assumed that you are doing
index plotting; ie the axis is 0, len(data). This is mainly
useful for x ticks.
c C s | | _ | | _ d S( s< place ticks on the i-th data points where (i-offset)%base==0N( R RP ( R R RP ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s6 | i i \ } } t i | | i | d | i S( s! Return the locations of the ticksi ( R R Rf t arangeRP R ( R t dmint dmax( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s ( R R R) R R ( ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s t FixedLocatorc B s# e Z d Z d d Z d Z RS( sn
Tick locations are fixed. If nbins is not None,
the array of possible positions will be subsampled to
keep the number of ticks <= nbins +1.
The subsampling will be done so as to include the smallest
absolute value; for example, if zero is included in the
array of possibilities, then it is guaranteed to be one of
the chosen ticks.
c C sH t i | | _ | | _ | i d j o t | i d | _ n d S( Ni ( Rf Rv R% t nbinsR Rm ( R R% R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s | i d j o | i St t d t | i t | i d } | i d d | } xb t d | D]Q } | i | d | } t i | i
t i | i
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| } qm qm W| S( s! Return the locations of the ticksgGz?i N( R R R% Rm R. R, t floatRo Rf Rk Rn ( R R R R/ t ticks1( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s / +N( R R R) R R R ( ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s t NullLocatorc B s e Z d Z d Z RS( s
No ticks
c C s g S( s! Return the locations of the ticks( ( R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s ( R R R) R ( ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s t
LinearLocatorc B s8 e Z d Z d d d Z d Z d Z d Z RS( s
Determine the tick locations
The first time this function is called it will try to set the
number of ticks to make a nice tick partitioning. Thereafter the
number of ticks will be fixed so that interactive navigation will
be nice
c C s0 | | _ | d j o
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Use presets to set locs based on lom. A dict mapping vmin, vmax->locs
N( R R t presets( R R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
c C s | i i \ } } t i | | d d \ } } | | j o | | } } n | | f | i j o | i | | f S| i d j o | i n | i d j o g St i | | | i } | S( s! Return the locations of the ticksR g?i N(
R R R R R R R t
_set_numticksRf t linspace( R R R t ticklocs( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
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c C s$ t | | d j o t St Sd S( Ng|=( R; RS R ( R t y( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt closetoC s t Basec B sD e Z d Z d Z d Z d Z d Z d Z d Z RS( sE this solution has some hacks to deal with floating point inaccuraciesc C s
| | _ d S( N( R ( R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR I s c C s[ t | | i \ } } t | d o( t | | i d o | d | i S| | i S( s' return the largest multiple of base < xi i ( R R R ( R R R? t m( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt ltM s (c C sJ t | | i \ } } t | | i d o | d | i S| | i S( s( return the largest multiple of base <= xi ( R R R ( R R R? R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt leT s c C sN t | | i \ } } t | | i d o | d | i S| d | i S( s( return the smallest multiple of base > xi i ( R R R ( R R R? R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt gt\ s c C s[ t | | i \ } } t | d o$ t | | i d o | | i S| d | i S( s) return the smallest multiple of base >= xi i ( R R R ( R R R? R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt ged s ( c C s | i S( N( R ( R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt get_basek s ( R R R) R R R R R R ( ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR G s t MultipleLocatorc B s, e Z d Z d d Z d Z d Z RS( sW
Set a tick on every integer that is multiple of base in the
view interval
g ?c C s t | | _ d S( N( R R ( R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR t s c C s | i i \ } } | | j o | | } } n | i i | } | i i } | | d | | } | t i | d | } | S( s! Return the locations of the ticksgMbP?i ( R R R R R Rf R ( R R R R R- R% ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR w s
c C sY | i i | } | i i | } | | j o | d 8} | d 7} n t i | | S( sd
Set the view limits to the nearest multiples of base that
contain the data
i ( R R R R R ( R R R R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
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( g ?g ( R; Rm R Rh Rj (
R R R- t thresholdt dvt maxabsvt meanvRP t exR ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt scale_range s
t MaxNLocatorc B sD e Z d Z d d e e e d d Z d Z d Z d Z RS( s<
Select no more than N intervals at nice locations.
i
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Keyword args:
*prune*
Remove edge ticks -- useful for stacked or ganged plots
where the upper tick of one axes overlaps with the lower
tick of the axes above it. One of 'lower' | 'upper' |
'both' | None. If prune=='lower', the smallest tick will
be removed. If prune=='upper', the largest tick will be
removed. If prune=='both', the largest and smallest ticks
will be removed. If prune==None, no ticks will be removed.
i g ?i g @i i i i i i
igMbP?N( R. t _nbinst _trimt _integert
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+ c C s1 | i } t | | | \ } } | i o t d | } n | | 8} | | 8} | | | } | | } | } | } xf | i D][ }
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c C sv | i o, t t | t | } | } | } n t i | | d d \ } } t i | i | | d d g S( NR g?i i( R Rm R; R R Rf t takeR ( R R R t maxabs( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
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c C s- t i t i | t i | } | | S( s# floor x to the nearest lower decade( Rh Ri R ( R R t lx( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt decade_down s %c C s- t i t i | t i | } | | S( s# ceil x to the nearest higher decade( Rh Rl R ( R R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyt decade_up s %c C s, t i | t i | } | t | j S( N( Rh R R. ( R R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s t
LogLocatorc B sM e Z d Z d d g d Z d Z d Z d Z d Z d Z RS( s3
Determine the tick locations for log axes
g $@g ?c C s' | i | | i | d | _ d S( s>
place ticks on the location= base**i*subs[j]
i N( R t subsR ( R R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR
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set the base of the log scaling (major tick every base**i, i interger)
g N( R ( R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s4 | d j o
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set the minor ticks the log scaling every base**i*subs[j]
g N( R t _subsRf Rv ( R R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
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C s | i } | i i \ } } | d j o0 | i i } | d j o t d q[ n t i | t i | } t i | t i | } | | j o | | } } n t i | t i | } | i d j o_ | d j o t i d g } qE| d j o t i
d | d } qEt i
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t i | t i | | | } t | d j p$ t | d j oA | d d j o0 g } x1 | | D] } | i | | qWn | | } t i | S(
s! Return the locations of the ticksg sA Data has no positive values, and therefore can not be log-scaled.i
g ?i g @i i N( R R R t
get_minpost
ValueErrorRh R Ri Rl R R Rf t arrayR R R, t extend(
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| } n t | | i p t | | i } n t | | i p t | | i } n | | j o( t | | i } t | | i } n t i | | } | S( s+ Try to choose the view limits intelligentlyi sA Data has no positive values, and therefore can not be log-scaled.( R R R R R R R R R ( R R R t minpost result( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR P s"
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Determine the tick locations for log axes
g ?c C s | | _ | | _ d | _ d S( s>
place ticks on the location= base**i*subs[j]
i N( t
_transformR R ( R t transformR ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR m s c C s
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C s | i i } | i i \ } } | i i | | f \ } } | | j o | | } } n t i | t i | } | i d j o_ | d j o t
i d g } q | d j o t
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i | S( s! Return the locations of the ticksi
g ?i g @i i N( R R R R R Rh Ri Rl R R Rf R R Rv R R, R RJ R; (
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+$ 3 c C s8 | i i } | | j o | | } } n t t | | p5 | d j o t | | } qu t | | } n t t | | p5 | d j o t | | } q t | | } n | | j oU | d j o& t | | } t | | } q"t | | } t | | } n t i | | } | S( s+ Try to choose the view limits intelligentlyi ( R R R R; R R R R ( R R R RZ R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s&
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t AutoLocatorc B s e Z d Z RS( c C s) t i | d d d d d d d g d S( NR i R i i i i
( R R ( R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s ( R R R ( ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s t AutoMinorLocatorc B s e Z d Z d Z RS( s
Dynamically find minor tick positions based on the positions of
major ticks. Assumes the scale is linear and major ticks are
evenly spaced.
c
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o t d n Xt d | i d d } | d d j o | d } n* | d d j o | d
} n | d } | d | } | d | } t i | | | } | i i \ } } | | j o | | } } n | | | j | | j @S(
s! Return the locations of the ticksi i s: Need at least two major ticks to find minor tick locationss %eR@ i g|=g @i g @g @i( R t get_majorticklocsR~ R R RD Rf R R (
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On autoscale this class picks the best MultipleLocator to set the
view limits and the tick locs.
c C s t | _ d S( N( R t _locator( R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s | i | i S( s! Return the locations of the ticks( R R ( R ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
c C sY | i i \ } } t i | | d d \ } } t | | } | i | | _ d S( s1 refresh internal information based on current limR g?N( R R R R R; t get_locatorR ( R R R R? ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s5 t | | } | i | | _ | i i | | S( s+ Try to choose the view limits intelligently( R; R R R ( R R R R? ( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s c C s t | } | d j o t d } n y t i | } Wn t j
o t d n Xt i | } d | } | d | j o
| } n* | d | j o | d } n | d } t | } | S( s) pick the best locator based on a distancei g?s' AutoLocator illegal data interval rangei
i i g @g @( R; R Rh Rj t
OverflowErrort RuntimeErrorRi ( R R? t locatort ldt fldR t ticksize( ( s7 /usr/lib64/python2.6/site-packages/matplotlib/ticker.pyR s
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