"""
Matplotlib provides sophisticated date plotting capabilities, standing on the
shoulders of python :mod:`datetime` and the add-on module :mod:`dateutil`.
.. _date-format:
Matplotlib date format
----------------------
Matplotlib represents dates using floating point numbers specifying the number
of days since 0001-01-01 UTC, plus 1. For example, 0001-01-01, 06:00 is 1.25,
not 0.25. Values < 1, i.e. dates before 0001-01-01 UTC are not supported.
There are a number of helper functions to convert between :mod:`datetime`
objects and Matplotlib dates:
.. currentmodule:: matplotlib.dates
.. autosummary::
:nosignatures:
datestr2num
date2num
num2date
num2timedelta
epoch2num
num2epoch
mx2num
drange
.. note::
Like Python's datetime, mpl uses the Gregorian calendar for all
conversions between dates and floating point numbers. This practice
is not universal, and calendar differences can cause confusing
differences between what Python and mpl give as the number of days
since 0001-01-01 and what other software and databases yield. For
example, the US Naval Observatory uses a calendar that switches
from Julian to Gregorian in October, 1582. Hence, using their
calculator, the number of days between 0001-01-01 and 2006-04-01 is
732403, whereas using the Gregorian calendar via the datetime
module we find::
In [1]: date(2006, 4, 1).toordinal() - date(1, 1, 1).toordinal()
Out[1]: 732401
All the Matplotlib date converters, tickers and formatters are timezone aware.
If no explicit timezone is provided, the rcParam ``timezone`` is assumend. If
you want to use a custom time zone, pass a :class:`datetime.tzinfo` instance
with the tz keyword argument to :func:`num2date`, :func:`.plot_date`, and any
custom date tickers or locators you create.
A wide range of specific and general purpose date tick locators and
formatters are provided in this module. See
:mod:`matplotlib.ticker` for general information on tick locators
and formatters. These are described below.
The `dateutil module <https://dateutil.readthedocs.io>`_ provides
additional code to handle date ticking, making it easy to place ticks
on any kinds of dates. See examples below.
Date tickers
------------
Most of the date tickers can locate single or multiple values. For
example::
# import constants for the days of the week
from matplotlib.dates import MO, TU, WE, TH, FR, SA, SU
# tick on mondays every week
loc = WeekdayLocator(byweekday=MO, tz=tz)
# tick on mondays and saturdays
loc = WeekdayLocator(byweekday=(MO, SA))
In addition, most of the constructors take an interval argument::
# tick on mondays every second week
loc = WeekdayLocator(byweekday=MO, interval=2)
The rrule locator allows completely general date ticking::
# tick every 5th easter
rule = rrulewrapper(YEARLY, byeaster=1, interval=5)
loc = RRuleLocator(rule)
Here are all the date tickers:
* :class:`MicrosecondLocator`: locate microseconds
* :class:`SecondLocator`: locate seconds
* :class:`MinuteLocator`: locate minutes
* :class:`HourLocator`: locate hours
* :class:`DayLocator`: locate specified days of the month
* :class:`WeekdayLocator`: Locate days of the week, e.g., MO, TU
* :class:`MonthLocator`: locate months, e.g., 7 for july
* :class:`YearLocator`: locate years that are multiples of base
* :class:`RRuleLocator`: locate using a
:class:`matplotlib.dates.rrulewrapper`. The
:class:`rrulewrapper` is a simple wrapper around a
:class:`dateutil.rrule` (`dateutil
<https://dateutil.readthedocs.io>`_) which allow almost
arbitrary date tick specifications. See `rrule example
<../gallery/ticks_and_spines/date_demo_rrule.html>`_.
* :class:`AutoDateLocator`: On autoscale, this class picks the best
:class:`DateLocator` (e.g., :class:`RRuleLocator`)
to set the view limits and the tick
locations. If called with ``interval_multiples=True`` it will
make ticks line up with sensible multiples of the tick intervals. E.g.
if the interval is 4 hours, it will pick hours 0, 4, 8, etc as ticks.
This behaviour is not guaranteed by default.
Date formatters
---------------
Here all all the date formatters:
* :class:`AutoDateFormatter`: attempts to figure out the best format
to use. This is most useful when used with the :class:`AutoDateLocator`.
* :class:`DateFormatter`: use :func:`strftime` format strings
* :class:`IndexDateFormatter`: date plots with implicit *x*
indexing.
"""
import datetime
import functools
import logging
import math
import re
import time
import warnings
from dateutil.rrule import (rrule, MO, TU, WE, TH, FR, SA, SU, YEARLY,
MONTHLY, WEEKLY, DAILY, HOURLY, MINUTELY,
SECONDLY)
from dateutil.relativedelta import relativedelta
import dateutil.parser
import dateutil.tz
import numpy as np
import matplotlib
from matplotlib import rcParams
import matplotlib.units as units
import matplotlib.cbook as cbook
import matplotlib.ticker as ticker
__all__ = ('datestr2num', 'date2num', 'num2date', 'num2timedelta', 'drange',
'epoch2num', 'num2epoch', 'mx2num', 'DateFormatter',
'IndexDateFormatter', 'AutoDateFormatter', 'DateLocator',
'RRuleLocator', 'AutoDateLocator', 'YearLocator',
'MonthLocator', 'WeekdayLocator',
'DayLocator', 'HourLocator', 'MinuteLocator',
'SecondLocator', 'MicrosecondLocator',
'rrule', 'MO', 'TU', 'WE', 'TH', 'FR', 'SA', 'SU',
'YEARLY', 'MONTHLY', 'WEEKLY', 'DAILY',
'HOURLY', 'MINUTELY', 'SECONDLY', 'MICROSECONDLY', 'relativedelta',
'seconds', 'minutes', 'hours', 'weeks')
_log = logging.getLogger(__name__)
UTC = datetime.timezone.utc
def _get_rc_timezone():
"""
Retrieve the preferred timeszone from the rcParams dictionary.
"""
s = matplotlib.rcParams['timezone']
if s == 'UTC':
return UTC
return dateutil.tz.gettz(s)
"""
Time-related constants.
"""
EPOCH_OFFSET = float(datetime.datetime(1970, 1, 1).toordinal())
JULIAN_OFFSET = 1721424.5 # Julian date at 0001-01-01
MICROSECONDLY = SECONDLY + 1
HOURS_PER_DAY = 24.
MIN_PER_HOUR = 60.
SEC_PER_MIN = 60.
MONTHS_PER_YEAR = 12.
DAYS_PER_WEEK = 7.
DAYS_PER_MONTH = 30.
DAYS_PER_YEAR = 365.0
MINUTES_PER_DAY = MIN_PER_HOUR * HOURS_PER_DAY
SEC_PER_HOUR = SEC_PER_MIN * MIN_PER_HOUR
SEC_PER_DAY = SEC_PER_HOUR * HOURS_PER_DAY
SEC_PER_WEEK = SEC_PER_DAY * DAYS_PER_WEEK
MUSECONDS_PER_DAY = 1e6 * SEC_PER_DAY
MONDAY, TUESDAY, WEDNESDAY, THURSDAY, FRIDAY, SATURDAY, SUNDAY = (
MO, TU, WE, TH, FR, SA, SU)
WEEKDAYS = (MONDAY, TUESDAY, WEDNESDAY, THURSDAY, FRIDAY, SATURDAY, SUNDAY)
def _to_ordinalf(dt):
"""
Convert :mod:`datetime` or :mod:`date` to the Gregorian date as UTC float
days, preserving hours, minutes, seconds and microseconds. Return value
is a :func:`float`.
"""
# Convert to UTC
tzi = getattr(dt, 'tzinfo', None)
if tzi is not None:
dt = dt.astimezone(UTC)
tzi = UTC
base = float(dt.toordinal())
# If it's sufficiently datetime-like, it will have a `date()` method
cdate = getattr(dt, 'date', lambda: None)()
if cdate is not None:
# Get a datetime object at midnight UTC
midnight_time = datetime.time(0, tzinfo=tzi)
rdt = datetime.datetime.combine(cdate, midnight_time)
# Append the seconds as a fraction of a day
base += (dt - rdt).total_seconds() / SEC_PER_DAY
return base
# a version of _to_ordinalf that can operate on numpy arrays
_to_ordinalf_np_vectorized = np.vectorize(_to_ordinalf)
def _dt64_to_ordinalf(d):
"""
Convert `numpy.datetime64` or an ndarray of those types to Gregorian
date as UTC float. Roundoff is via float64 precision. Practically:
microseconds for dates between 290301 BC, 294241 AD, milliseconds for
larger dates (see `numpy.datetime64`). Nanoseconds aren't possible
because we do times compared to ``0001-01-01T00:00:00`` (plus one day).
"""
# the "extra" ensures that we at least allow the dynamic range out to
# seconds. That should get out to +/-2e11 years.
# NOTE: First cast truncates; second cast back is for NumPy 1.10.
extra = d - d.astype('datetime64[s]').astype(d.dtype)
extra = extra.astype('timedelta64[ns]')
t0 = np.datetime64('0001-01-01T00:00:00').astype('datetime64[s]')
dt = (d.astype('datetime64[s]') - t0).astype(np.float64)
dt += extra.astype(np.float64) / 1.0e9
dt = dt / SEC_PER_DAY + 1.0
NaT_int = np.datetime64('NaT').astype(np.int64)
d_int = d.astype(np.int64)
try:
dt[d_int == NaT_int] = np.nan
except TypeError:
if d_int == NaT_int:
dt = np.nan
return dt
def _from_ordinalf(x, tz=None):
"""
Convert Gregorian float of the date, preserving hours, minutes,
seconds and microseconds. Return value is a `.datetime`.
The input date *x* is a float in ordinal days at UTC, and the output will
be the specified `.datetime` object corresponding to that time in
timezone *tz*, or if *tz* is ``None``, in the timezone specified in
:rc:`timezone`.
"""
if tz is None:
tz = _get_rc_timezone()
ix, remainder = divmod(x, 1)
ix = int(ix)
if ix < 1:
raise ValueError('Cannot convert {} to a date. This often happens if '
'non-datetime values are passed to an axis that '
'expects datetime objects.'.format(ix))
dt = datetime.datetime.fromordinal(ix).replace(tzinfo=UTC)
# Since the input date `x` float is unable to preserve microsecond
# precision of time representation in non-antique years, the
# resulting datetime is rounded to the nearest multiple of
# `musec_prec`. A value of 20 is appropriate for current dates.
musec_prec = 20
remainder_musec = int(round(remainder * MUSECONDS_PER_DAY / musec_prec)
* musec_prec)
# For people trying to plot with full microsecond precision, enable
# an early-year workaround
if x < 30 * 365:
remainder_musec = int(round(remainder * MUSECONDS_PER_DAY))
# add hours, minutes, seconds, microseconds
dt += datetime.timedelta(microseconds=remainder_musec)
return dt.astimezone(tz)
# a version of _from_ordinalf that can operate on numpy arrays
_from_ordinalf_np_vectorized = np.vectorize(_from_ordinalf)
class strpdate2num(object):
"""
Use this class to parse date strings to matplotlib datenums when
you know the date format string of the date you are parsing.
"""
def __init__(self, fmt):
""" fmt: any valid strptime format is supported """
self.fmt = fmt
def __call__(self, s):
"""s : string to be converted
return value: a date2num float
"""
return date2num(datetime.datetime(*time.strptime(s, self.fmt)[:6]))
class bytespdate2num(strpdate2num):
"""
Use this class to parse date strings to matplotlib datenums when
you know the date format string of the date you are parsing. See
:doc:`/gallery/misc/load_converter.py`.
"""
def __init__(self, fmt, encoding='utf-8'):
"""
Args:
fmt: any valid strptime format is supported
encoding: encoding to use on byte input (default: 'utf-8')
"""
super().__init__(fmt)
self.encoding = encoding
def __call__(self, b):
"""
Args:
b: byte input to be converted
Returns:
A date2num float
"""
s = b.decode(self.encoding)
return super().__call__(s)
# a version of dateutil.parser.parse that can operate on nump0y arrays
_dateutil_parser_parse_np_vectorized = np.vectorize(dateutil.parser.parse)
[docs]def datestr2num(d, default=None):
"""
Convert a date string to a datenum using
:func:`dateutil.parser.parse`.
Parameters
----------
d : string or sequence of strings
The dates to convert.
default : datetime instance, optional
The default date to use when fields are missing in *d*.
"""
if isinstance(d, str):
dt = dateutil.parser.parse(d, default=default)
return date2num(dt)
else:
if default is not None:
d = [dateutil.parser.parse(s, default=default) for s in d]
d = np.asarray(d)
if not d.size:
return d
return date2num(_dateutil_parser_parse_np_vectorized(d))
[docs]def date2num(d):
"""
Convert datetime objects to Matplotlib dates.
Parameters
----------
d : `datetime.datetime` or `numpy.datetime64` or sequences of these
Returns
-------
float or sequence of floats
Number of days (fraction part represents hours, minutes, seconds, ms)
since 0001-01-01 00:00:00 UTC, plus one.
Notes
-----
The addition of one here is a historical artifact. Also, note that the
Gregorian calendar is assumed; this is not universal practice.
For details see the module docstring.
"""
if hasattr(d, "values"):
# this unpacks pandas series or dataframes...
d = d.values
if not np.iterable(d):
if (isinstance(d, np.datetime64) or (isinstance(d, np.ndarray) and
np.issubdtype(d.dtype, np.datetime64))):
return _dt64_to_ordinalf(d)
return _to_ordinalf(d)
else:
d = np.asarray(d)
if np.issubdtype(d.dtype, np.datetime64):
return _dt64_to_ordinalf(d)
if not d.size:
return d
return _to_ordinalf_np_vectorized(d)
def julian2num(j):
"""
Convert a Julian date (or sequence) to a Matplotlib date (or sequence).
Parameters
----------
j : float or sequence of floats
Julian date(s)
Returns
-------
float or sequence of floats
Matplotlib date(s)
"""
if cbook.iterable(j):
j = np.asarray(j)
return j - JULIAN_OFFSET
def num2julian(n):
"""
Convert a Matplotlib date (or sequence) to a Julian date (or sequence).
Parameters
----------
n : float or sequence of floats
Matplotlib date(s)
Returns
-------
float or sequence of floats
Julian date(s)
"""
if cbook.iterable(n):
n = np.asarray(n)
return n + JULIAN_OFFSET
[docs]def num2date(x, tz=None):
"""
Convert Matplotlib dates to `~datetime.datetime` objects.
Parameters
----------
x : float or sequence of floats
Number of days (fraction part represents hours, minutes, seconds)
since 0001-01-01 00:00:00 UTC, plus one.
tz : string, optional
Timezone of *x* (defaults to rcparams ``timezone``).
Returns
-------
`~datetime.datetime` or sequence of `~datetime.datetime`
Dates are returned in timezone *tz*.
If *x* is a sequence, a sequence of :class:`datetime` objects will
be returned.
Notes
-----
The addition of one here is a historical artifact. Also, note that the
Gregorian calendar is assumed; this is not universal practice.
For details, see the module docstring.
"""
if tz is None:
tz = _get_rc_timezone()
if not cbook.iterable(x):
return _from_ordinalf(x, tz)
else:
x = np.asarray(x)
if not x.size:
return x
return _from_ordinalf_np_vectorized(x, tz).tolist()
def _ordinalf_to_timedelta(x):
return datetime.timedelta(days=x)
_ordinalf_to_timedelta_np_vectorized = np.vectorize(_ordinalf_to_timedelta)
[docs]def num2timedelta(x):
"""
Convert number of days to a `~datetime.timedelta` object.
If *x* is a sequence, a sequence of `~datetime.timedelta` objects will
be returned.
Parameters
----------
x : float, sequence of floats
Number of days. The fraction part represents hours, minutes, seconds.
Returns
-------
`datetime.timedelta` or list[`datetime.timedelta`]
"""
if not cbook.iterable(x):
return _ordinalf_to_timedelta(x)
else:
x = np.asarray(x)
if not x.size:
return x
return _ordinalf_to_timedelta_np_vectorized(x).tolist()
[docs]def drange(dstart, dend, delta):
"""
Return a sequence of equally spaced Matplotlib dates.
The dates start at *dstart* and reach up to, but not including *dend*.
They are spaced by *delta*.
Parameters
----------
dstart, dend : `~datetime.datetime`
The date limits.
delta : `datetime.timedelta`
Spacing of the dates.
Returns
-------
drange : `numpy.array`
A list floats representing Matplotlib dates.
"""
f1 = date2num(dstart)
f2 = date2num(dend)
step = delta.total_seconds() / SEC_PER_DAY
# calculate the difference between dend and dstart in times of delta
num = int(np.ceil((f2 - f1) / step))
# calculate end of the interval which will be generated
dinterval_end = dstart + num * delta
# ensure, that an half open interval will be generated [dstart, dend)
if dinterval_end >= dend:
# if the endpoint is greated than dend, just subtract one delta
dinterval_end -= delta
num -= 1
f2 = date2num(dinterval_end) # new float-endpoint
return np.linspace(f1, f2, num + 1)
### date tickers and formatters ###
class rrulewrapper(object):
def __init__(self, freq, tzinfo=None, **kwargs):
kwargs['freq'] = freq
self._base_tzinfo = tzinfo
self._update_rrule(**kwargs)
def set(self, **kwargs):
self._construct.update(kwargs)
self._update_rrule(**self._construct)
def _update_rrule(self, **kwargs):
tzinfo = self._base_tzinfo
# rrule does not play nicely with time zones - especially pytz time
# zones, it's best to use naive zones and attach timezones once the
# datetimes are returned
if 'dtstart' in kwargs:
dtstart = kwargs['dtstart']
if dtstart.tzinfo is not None:
if tzinfo is None:
tzinfo = dtstart.tzinfo
else:
dtstart = dtstart.astimezone(tzinfo)
kwargs['dtstart'] = dtstart.replace(tzinfo=None)
if 'until' in kwargs:
until = kwargs['until']
if until.tzinfo is not None:
if tzinfo is not None:
until = until.astimezone(tzinfo)
else:
raise ValueError('until cannot be aware if dtstart '
'is naive and tzinfo is None')
kwargs['until'] = until.replace(tzinfo=None)
self._construct = kwargs.copy()
self._tzinfo = tzinfo
self._rrule = rrule(**self._construct)
def _attach_tzinfo(self, dt, tzinfo):
# pytz zones are attached by "localizing" the datetime
if hasattr(tzinfo, 'localize'):
return tzinfo.localize(dt, is_dst=True)
return dt.replace(tzinfo=tzinfo)
def _aware_return_wrapper(self, f, returns_list=False):
"""Decorator function that allows rrule methods to handle tzinfo."""
# This is only necessary if we're actually attaching a tzinfo
if self._tzinfo is None:
return f
# All datetime arguments must be naive. If they are not naive, they are
# converted to the _tzinfo zone before dropping the zone.
def normalize_arg(arg):
if isinstance(arg, datetime.datetime) and arg.tzinfo is not None:
if arg.tzinfo is not self._tzinfo:
arg = arg.astimezone(self._tzinfo)
return arg.replace(tzinfo=None)
return arg
def normalize_args(args, kwargs):
args = tuple(normalize_arg(arg) for arg in args)
kwargs = {kw: normalize_arg(arg) for kw, arg in kwargs.items()}
return args, kwargs
# There are two kinds of functions we care about - ones that return
# dates and ones that return lists of dates.
if not returns_list:
def inner_func(*args, **kwargs):
args, kwargs = normalize_args(args, kwargs)
dt = f(*args, **kwargs)
return self._attach_tzinfo(dt, self._tzinfo)
else:
def inner_func(*args, **kwargs):
args, kwargs = normalize_args(args, kwargs)
dts = f(*args, **kwargs)
return [self._attach_tzinfo(dt, self._tzinfo) for dt in dts]
return functools.wraps(f)(inner_func)
def __getattr__(self, name):
if name in self.__dict__:
return self.__dict__[name]
f = getattr(self._rrule, name)
if name in {'after', 'before'}:
return self._aware_return_wrapper(f)
elif name in {'xafter', 'xbefore', 'between'}:
return self._aware_return_wrapper(f, returns_list=True)
else:
return f
def __setstate__(self, state):
self.__dict__.update(state)
[docs]class DateLocator(ticker.Locator):
"""
Determines the tick locations when plotting dates.
This class is subclassed by other Locators and
is not meant to be used on its own.
"""
hms0d = {'byhour': 0, 'byminute': 0, 'bysecond': 0}
def __init__(self, tz=None):
"""
*tz* is a :class:`tzinfo` instance.
"""
if tz is None:
tz = _get_rc_timezone()
self.tz = tz
[docs] def set_tzinfo(self, tz):
"""
Set time zone info.
"""
self.tz = tz
[docs] def datalim_to_dt(self):
"""
Convert axis data interval to datetime objects.
"""
dmin, dmax = self.axis.get_data_interval()
if dmin > dmax:
dmin, dmax = dmax, dmin
if dmin < 1:
raise ValueError('datalim minimum {} is less than 1 and '
'is an invalid Matplotlib date value. This often '
'happens if you pass a non-datetime '
'value to an axis that has datetime units'
.format(dmin))
return num2date(dmin, self.tz), num2date(dmax, self.tz)
[docs] def viewlim_to_dt(self):
"""
Converts the view interval to datetime objects.
"""
vmin, vmax = self.axis.get_view_interval()
if vmin > vmax:
vmin, vmax = vmax, vmin
if vmin < 1:
raise ValueError('view limit minimum {} is less than 1 and '
'is an invalid Matplotlib date value. This '
'often happens if you pass a non-datetime '
'value to an axis that has datetime units'
.format(vmin))
return num2date(vmin, self.tz), num2date(vmax, self.tz)
def _get_unit(self):
"""
Return how many days a unit of the locator is; used for
intelligent autoscaling.
"""
return 1
def _get_interval(self):
"""
Return the number of units for each tick.
"""
return 1
[docs] def nonsingular(self, vmin, vmax):
"""
Given the proposed upper and lower extent, adjust the range
if it is too close to being singular (i.e. a range of ~0).
"""
unit = self._get_unit()
interval = self._get_interval()
if abs(vmax - vmin) < 1e-6:
vmin -= 2 * unit * interval
vmax += 2 * unit * interval
return vmin, vmax
[docs]class RRuleLocator(DateLocator):
# use the dateutil rrule instance
def __init__(self, o, tz=None):
DateLocator.__init__(self, tz)
self.rule = o
def __call__(self):
# if no data have been set, this will tank with a ValueError
try:
dmin, dmax = self.viewlim_to_dt()
except ValueError:
return []
return self.tick_values(dmin, dmax)
[docs] def tick_values(self, vmin, vmax):
delta = relativedelta(vmax, vmin)
# We need to cap at the endpoints of valid datetime
try:
start = vmin - delta
except (ValueError, OverflowError):
start = _from_ordinalf(1.0)
try:
stop = vmax + delta
except (ValueError, OverflowError):
# The magic number!
stop = _from_ordinalf(3652059.9999999)
self.rule.set(dtstart=start, until=stop)
dates = self.rule.between(vmin, vmax, True)
if len(dates) == 0:
return date2num([vmin, vmax])
return self.raise_if_exceeds(date2num(dates))
def _get_unit(self):
"""
Return how many days a unit of the locator is; used for
intelligent autoscaling.
"""
freq = self.rule._rrule._freq
return self.get_unit_generic(freq)
[docs] @staticmethod
def get_unit_generic(freq):
if freq == YEARLY:
return DAYS_PER_YEAR
elif freq == MONTHLY:
return DAYS_PER_MONTH
elif freq == WEEKLY:
return DAYS_PER_WEEK
elif freq == DAILY:
return 1.0
elif freq == HOURLY:
return 1.0 / HOURS_PER_DAY
elif freq == MINUTELY:
return 1.0 / MINUTES_PER_DAY
elif freq == SECONDLY:
return 1.0 / SEC_PER_DAY
else:
# error
return -1 # or should this just return '1'?
def _get_interval(self):
return self.rule._rrule._interval
[docs] def autoscale(self):
"""
Set the view limits to include the data range.
"""
dmin, dmax = self.datalim_to_dt()
delta = relativedelta(dmax, dmin)
# We need to cap at the endpoints of valid datetime
try:
start = dmin - delta
except ValueError:
start = _from_ordinalf(1.0)
try:
stop = dmax + delta
except ValueError:
# The magic number!
stop = _from_ordinalf(3652059.9999999)
self.rule.set(dtstart=start, until=stop)
dmin, dmax = self.datalim_to_dt()
vmin = self.rule.before(dmin, True)
if not vmin:
vmin = dmin
vmax = self.rule.after(dmax, True)
if not vmax:
vmax = dmax
vmin = date2num(vmin)
vmax = date2num(vmax)
return self.nonsingular(vmin, vmax)
[docs]class AutoDateLocator(DateLocator):
"""
On autoscale, this class picks the best
:class:`DateLocator` to set the view limits and the tick
locations.
"""
def __init__(self, tz=None, minticks=5, maxticks=None,
interval_multiples=True):
"""
*minticks* is the minimum number of ticks desired, which is used to
select the type of ticking (yearly, monthly, etc.).
*maxticks* is the maximum number of ticks desired, which controls
any interval between ticks (ticking every other, every 3, etc.).
For really fine-grained control, this can be a dictionary mapping
individual rrule frequency constants (YEARLY, MONTHLY, etc.)
to their own maximum number of ticks. This can be used to keep
the number of ticks appropriate to the format chosen in
:class:`AutoDateFormatter`. Any frequency not specified in this
dictionary is given a default value.
*tz* is a :class:`tzinfo` instance.
*interval_multiples* is a boolean that indicates whether ticks
should be chosen to be multiple of the interval. This will lock
ticks to 'nicer' locations. For example, this will force the
ticks to be at hours 0,6,12,18 when hourly ticking is done at
6 hour intervals.
The AutoDateLocator has an interval dictionary that maps the
frequency of the tick (a constant from dateutil.rrule) and a
multiple allowed for that ticking. The default looks like this::
self.intervald = {
YEARLY : [1, 2, 4, 5, 10, 20, 40, 50, 100, 200, 400, 500,
1000, 2000, 4000, 5000, 10000],
MONTHLY : [1, 2, 3, 4, 6],
DAILY : [1, 2, 3, 7, 14],
HOURLY : [1, 2, 3, 4, 6, 12],
MINUTELY: [1, 5, 10, 15, 30],
SECONDLY: [1, 5, 10, 15, 30],
MICROSECONDLY: [1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000,
5000, 10000, 20000, 50000, 100000, 200000, 500000,
1000000],
}
The interval is used to specify multiples that are appropriate for
the frequency of ticking. For instance, every 7 days is sensible
for daily ticks, but for minutes/seconds, 15 or 30 make sense.
You can customize this dictionary by doing::
locator = AutoDateLocator()
locator.intervald[HOURLY] = [3] # only show every 3 hours
"""
DateLocator.__init__(self, tz)
self._locator = YearLocator(tz=tz)
self._freq = YEARLY
self._freqs = [YEARLY, MONTHLY, DAILY, HOURLY, MINUTELY,
SECONDLY, MICROSECONDLY]
self.minticks = minticks
self.maxticks = {YEARLY: 11, MONTHLY: 12, DAILY: 11, HOURLY: 12,
MINUTELY: 11, SECONDLY: 11, MICROSECONDLY: 8}
if maxticks is not None:
try:
self.maxticks.update(maxticks)
except TypeError:
# Assume we were given an integer. Use this as the maximum
# number of ticks for every frequency and create a
# dictionary for this
self.maxticks = dict.fromkeys(self._freqs, maxticks)
self.interval_multiples = interval_multiples
self.intervald = {
YEARLY: [1, 2, 4, 5, 10, 20, 40, 50, 100, 200, 400, 500,
1000, 2000, 4000, 5000, 10000],
MONTHLY: [1, 2, 3, 4, 6],
DAILY: [1, 2, 3, 7, 14, 21],
HOURLY: [1, 2, 3, 4, 6, 12],
MINUTELY: [1, 5, 10, 15, 30],
SECONDLY: [1, 5, 10, 15, 30],
MICROSECONDLY: [1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000,
5000, 10000, 20000, 50000, 100000, 200000, 500000,
1000000]}
if interval_multiples:
# Swap "3" for "4" in the DAILY list; If we use 3 we get bad
# tick loc for months w/ 31 days: 1, 4,..., 28, 31, 1
# If we use 4 then we get: 1, 5, ... 25, 29, 1
self.intervald[DAILY] = [1, 2, 4, 7, 14, 21]
self._byranges = [None, range(1, 13), range(1, 32),
range(0, 24), range(0, 60), range(0, 60), None]
def __call__(self):
'Return the locations of the ticks'
self.refresh()
return self._locator()
[docs] def tick_values(self, vmin, vmax):
return self.get_locator(vmin, vmax).tick_values(vmin, vmax)
[docs] def nonsingular(self, vmin, vmax):
# whatever is thrown at us, we can scale the unit.
# But default nonsingular date plots at an ~4 year period.
if vmin == vmax:
vmin = vmin - DAYS_PER_YEAR * 2
vmax = vmax + DAYS_PER_YEAR * 2
return vmin, vmax
[docs] def set_axis(self, axis):
DateLocator.set_axis(self, axis)
self._locator.set_axis(axis)
[docs] def refresh(self):
'Refresh internal information based on current limits.'
dmin, dmax = self.viewlim_to_dt()
self._locator = self.get_locator(dmin, dmax)
def _get_unit(self):
if self._freq in [MICROSECONDLY]:
return 1. / MUSECONDS_PER_DAY
else:
return RRuleLocator.get_unit_generic(self._freq)
[docs] def autoscale(self):
'Try to choose the view limits intelligently.'
dmin, dmax = self.datalim_to_dt()
self._locator = self.get_locator(dmin, dmax)
return self._locator.autoscale()
[docs] def get_locator(self, dmin, dmax):
'Pick the best locator based on a distance.'
delta = relativedelta(dmax, dmin)
tdelta = dmax - dmin
# take absolute difference
if dmin > dmax:
delta = -delta
tdelta = -tdelta
# The following uses a mix of calls to relativedelta and timedelta
# methods because there is incomplete overlap in the functionality of
# these similar functions, and it's best to avoid doing our own math
# whenever possible.
numYears = float(delta.years)
numMonths = numYears * MONTHS_PER_YEAR + delta.months
numDays = tdelta.days # Avoids estimates of days/month, days/year
numHours = numDays * HOURS_PER_DAY + delta.hours
numMinutes = numHours * MIN_PER_HOUR + delta.minutes
numSeconds = np.floor(tdelta.total_seconds())
numMicroseconds = np.floor(tdelta.total_seconds() * 1e6)
nums = [numYears, numMonths, numDays, numHours, numMinutes,
numSeconds, numMicroseconds]
use_rrule_locator = [True] * 6 + [False]
# Default setting of bymonth, etc. to pass to rrule
# [unused (for year), bymonth, bymonthday, byhour, byminute,
# bysecond, unused (for microseconds)]
byranges = [None, 1, 1, 0, 0, 0, None]
# Loop over all the frequencies and try to find one that gives at
# least a minticks tick positions. Once this is found, look for
# an interval from an list specific to that frequency that gives no
# more than maxticks tick positions. Also, set up some ranges
# (bymonth, etc.) as appropriate to be passed to rrulewrapper.
for i, (freq, num) in enumerate(zip(self._freqs, nums)):
# If this particular frequency doesn't give enough ticks, continue
if num < self.minticks:
# Since we're not using this particular frequency, set
# the corresponding by_ to None so the rrule can act as
# appropriate
byranges[i] = None
continue
# Find the first available interval that doesn't give too many
# ticks
for interval in self.intervald[freq]:
if num <= interval * (self.maxticks[freq] - 1):
break
else:
# We went through the whole loop without breaking, default to
# the last interval in the list and raise a warning
warnings.warn('AutoDateLocator was unable to pick an '
'appropriate interval for this date range. '
'It may be necessary to add an interval value '
"to the AutoDateLocator's intervald dictionary."
' Defaulting to {0}.'.format(interval))
# Set some parameters as appropriate
self._freq = freq
if self._byranges[i] and self.interval_multiples:
if i == DAILY and interval == 14:
# just make first and 15th. Avoids 30th.
byranges[i] = [1, 15]
else:
byranges[i] = self._byranges[i][::interval]
interval = 1
else:
byranges[i] = self._byranges[i]
break
else:
raise ValueError('No sensible date limit could be found in the '
'AutoDateLocator.')
if (freq == YEARLY) and self.interval_multiples:
locator = YearLocator(interval, tz=self.tz)
elif use_rrule_locator[i]:
_, bymonth, bymonthday, byhour, byminute, bysecond, _ = byranges
rrule = rrulewrapper(self._freq, interval=interval,
dtstart=dmin, until=dmax,
bymonth=bymonth, bymonthday=bymonthday,
byhour=byhour, byminute=byminute,
bysecond=bysecond)
locator = RRuleLocator(rrule, self.tz)
else:
locator = MicrosecondLocator(interval, tz=self.tz)
if dmin.year > 20 and interval < 1000:
_log.warn('Plotting microsecond time intervals is not'
' well supported. Please see the'
' MicrosecondLocator documentation'
' for details.')
locator.set_axis(self.axis)
if self.axis is not None:
locator.set_view_interval(*self.axis.get_view_interval())
locator.set_data_interval(*self.axis.get_data_interval())
return locator
[docs]class YearLocator(DateLocator):
"""
Make ticks on a given day of each year that is a multiple of base.
Examples::
# Tick every year on Jan 1st
locator = YearLocator()
# Tick every 5 years on July 4th
locator = YearLocator(5, month=7, day=4)
"""
def __init__(self, base=1, month=1, day=1, tz=None):
"""
Mark years that are multiple of base on a given month and day
(default jan 1).
"""
DateLocator.__init__(self, tz)
self.base = ticker._Edge_integer(base, 0)
self.replaced = {'month': month,
'day': day,
'hour': 0,
'minute': 0,
'second': 0,
}
if not hasattr(tz, 'localize'):
# if tz is pytz, we need to do this w/ the localize fcn,
# otherwise datetime.replace works fine...
self.replaced['tzinfo'] = tz
def __call__(self):
# if no data have been set, this will tank with a ValueError
try:
dmin, dmax = self.viewlim_to_dt()
except ValueError:
return []
return self.tick_values(dmin, dmax)
[docs] def tick_values(self, vmin, vmax):
ymin = self.base.le(vmin.year) * self.base.step
ymax = self.base.ge(vmax.year) * self.base.step
vmin = vmin.replace(year=ymin, **self.replaced)
if hasattr(self.tz, 'localize'):
# look after pytz
if not vmin.tzinfo:
vmin = self.tz.localize(vmin, is_dst=True)
ticks = [vmin]
while True:
dt = ticks[-1]
if dt.year >= ymax:
return date2num(ticks)
year = dt.year + self.base.step
dt = dt.replace(year=year, **self.replaced)
if hasattr(self.tz, 'localize'):
# look after pytz
if not dt.tzinfo:
dt = self.tz.localize(dt, is_dst=True)
ticks.append(dt)
[docs] def autoscale(self):
"""
Set the view limits to include the data range.
"""
dmin, dmax = self.datalim_to_dt()
ymin = self.base.le(dmin.year)
ymax = self.base.ge(dmax.year)
vmin = dmin.replace(year=ymin, **self.replaced)
vmin = vmin.astimezone(self.tz)
vmax = dmax.replace(year=ymax, **self.replaced)
vmax = vmax.astimezone(self.tz)
vmin = date2num(vmin)
vmax = date2num(vmax)
return self.nonsingular(vmin, vmax)
[docs]class MonthLocator(RRuleLocator):
"""
Make ticks on occurrences of each month, e.g., 1, 3, 12.
"""
def __init__(self, bymonth=None, bymonthday=1, interval=1, tz=None):
"""
Mark every month in *bymonth*; *bymonth* can be an int or
sequence. Default is ``range(1,13)``, i.e. every month.
*interval* is the interval between each iteration. For
example, if ``interval=2``, mark every second occurrence.
"""
if bymonth is None:
bymonth = range(1, 13)
elif isinstance(bymonth, np.ndarray):
# This fixes a bug in dateutil <= 2.3 which prevents the use of
# numpy arrays in (among other things) the bymonthday, byweekday
# and bymonth parameters.
bymonth = [x.item() for x in bymonth.astype(int)]
rule = rrulewrapper(MONTHLY, bymonth=bymonth, bymonthday=bymonthday,
interval=interval, **self.hms0d)
RRuleLocator.__init__(self, rule, tz)
[docs]class WeekdayLocator(RRuleLocator):
"""
Make ticks on occurrences of each weekday.
"""
def __init__(self, byweekday=1, interval=1, tz=None):
"""
Mark every weekday in *byweekday*; *byweekday* can be a number or
sequence.
Elements of *byweekday* must be one of MO, TU, WE, TH, FR, SA,
SU, the constants from :mod:`dateutil.rrule`, which have been
imported into the :mod:`matplotlib.dates` namespace.
*interval* specifies the number of weeks to skip. For example,
``interval=2`` plots every second week.
"""
if isinstance(byweekday, np.ndarray):
# This fixes a bug in dateutil <= 2.3 which prevents the use of
# numpy arrays in (among other things) the bymonthday, byweekday
# and bymonth parameters.
[x.item() for x in byweekday.astype(int)]
rule = rrulewrapper(DAILY, byweekday=byweekday,
interval=interval, **self.hms0d)
RRuleLocator.__init__(self, rule, tz)
[docs]class DayLocator(RRuleLocator):
"""
Make ticks on occurrences of each day of the month. For example,
1, 15, 30.
"""
def __init__(self, bymonthday=None, interval=1, tz=None):
"""
Mark every day in *bymonthday*; *bymonthday* can be an int or
sequence.
Default is to tick every day of the month: ``bymonthday=range(1,32)``
"""
if not interval == int(interval) or interval < 1:
raise ValueError("interval must be an integer greater than 0")
if bymonthday is None:
bymonthday = range(1, 32)
elif isinstance(bymonthday, np.ndarray):
# This fixes a bug in dateutil <= 2.3 which prevents the use of
# numpy arrays in (among other things) the bymonthday, byweekday
# and bymonth parameters.
bymonthday = [x.item() for x in bymonthday.astype(int)]
rule = rrulewrapper(DAILY, bymonthday=bymonthday,
interval=interval, **self.hms0d)
RRuleLocator.__init__(self, rule, tz)
[docs]class HourLocator(RRuleLocator):
"""
Make ticks on occurrences of each hour.
"""
def __init__(self, byhour=None, interval=1, tz=None):
"""
Mark every hour in *byhour*; *byhour* can be an int or sequence.
Default is to tick every hour: ``byhour=range(24)``
*interval* is the interval between each iteration. For
example, if ``interval=2``, mark every second occurrence.
"""
if byhour is None:
byhour = range(24)
rule = rrulewrapper(HOURLY, byhour=byhour, interval=interval,
byminute=0, bysecond=0)
RRuleLocator.__init__(self, rule, tz)
[docs]class MinuteLocator(RRuleLocator):
"""
Make ticks on occurrences of each minute.
"""
def __init__(self, byminute=None, interval=1, tz=None):
"""
Mark every minute in *byminute*; *byminute* can be an int or
sequence. Default is to tick every minute: ``byminute=range(60)``
*interval* is the interval between each iteration. For
example, if ``interval=2``, mark every second occurrence.
"""
if byminute is None:
byminute = range(60)
rule = rrulewrapper(MINUTELY, byminute=byminute, interval=interval,
bysecond=0)
RRuleLocator.__init__(self, rule, tz)
[docs]class SecondLocator(RRuleLocator):
"""
Make ticks on occurrences of each second.
"""
def __init__(self, bysecond=None, interval=1, tz=None):
"""
Mark every second in *bysecond*; *bysecond* can be an int or
sequence. Default is to tick every second: ``bysecond = range(60)``
*interval* is the interval between each iteration. For
example, if ``interval=2``, mark every second occurrence.
"""
if bysecond is None:
bysecond = range(60)
rule = rrulewrapper(SECONDLY, bysecond=bysecond, interval=interval)
RRuleLocator.__init__(self, rule, tz)
[docs]class MicrosecondLocator(DateLocator):
"""
Make ticks on regular intervals of one or more microsecond(s).
.. note::
Due to the floating point representation of time in days since
0001-01-01 UTC (plus 1), plotting data with microsecond time
resolution does not work well with current dates.
If you want microsecond resolution time plots, it is strongly
recommended to use floating point seconds, not datetime-like
time representation.
If you really must use datetime.datetime() or similar and still
need microsecond precision, your only chance is to use very
early years; using year 0001 is recommended.
"""
def __init__(self, interval=1, tz=None):
"""
*interval* is the interval between each iteration. For
example, if ``interval=2``, mark every second microsecond.
"""
self._interval = interval
self._wrapped_locator = ticker.MultipleLocator(interval)
self.tz = tz
[docs] def set_axis(self, axis):
self._wrapped_locator.set_axis(axis)
return DateLocator.set_axis(self, axis)
[docs] def set_view_interval(self, vmin, vmax):
self._wrapped_locator.set_view_interval(vmin, vmax)
return DateLocator.set_view_interval(self, vmin, vmax)
[docs] def set_data_interval(self, vmin, vmax):
self._wrapped_locator.set_data_interval(vmin, vmax)
return DateLocator.set_data_interval(self, vmin, vmax)
def __call__(self):
# if no data have been set, this will tank with a ValueError
try:
dmin, dmax = self.viewlim_to_dt()
except ValueError:
return []
return self.tick_values(dmin, dmax)
[docs] def tick_values(self, vmin, vmax):
nmin, nmax = date2num((vmin, vmax))
nmin *= MUSECONDS_PER_DAY
nmax *= MUSECONDS_PER_DAY
ticks = self._wrapped_locator.tick_values(nmin, nmax)
ticks = [tick / MUSECONDS_PER_DAY for tick in ticks]
return ticks
def _get_unit(self):
"""
Return how many days a unit of the locator is; used for
intelligent autoscaling.
"""
return 1. / MUSECONDS_PER_DAY
def _get_interval(self):
"""
Return the number of units for each tick.
"""
return self._interval
def _close_to_dt(d1, d2, epsilon=5):
"""
Assert that datetimes *d1* and *d2* are within *epsilon* microseconds.
"""
delta = d2 - d1
mus = abs(delta.total_seconds() * 1e6)
assert mus < epsilon
def _close_to_num(o1, o2, epsilon=5):
"""
Assert that float ordinals *o1* and *o2* are within *epsilon*
microseconds.
"""
delta = abs((o2 - o1) * MUSECONDS_PER_DAY)
assert delta < epsilon
[docs]def epoch2num(e):
"""
Convert an epoch or sequence of epochs to the new date format,
that is days since 0001.
"""
return EPOCH_OFFSET + np.asarray(e) / SEC_PER_DAY
[docs]def num2epoch(d):
"""
Convert days since 0001 to epoch. *d* can be a number or sequence.
"""
return (np.asarray(d) - EPOCH_OFFSET) * SEC_PER_DAY
[docs]def mx2num(mxdates):
"""
Convert mx :class:`datetime` instance (or sequence of mx
instances) to the new date format.
"""
scalar = False
if not cbook.iterable(mxdates):
scalar = True
mxdates = [mxdates]
ret = epoch2num([m.ticks() for m in mxdates])
if scalar:
return ret[0]
else:
return ret
def date_ticker_factory(span, tz=None, numticks=5):
"""
Create a date locator with *numticks* (approx) and a date formatter
for *span* in days. Return value is (locator, formatter).
"""
if span == 0:
span = 1 / HOURS_PER_DAY
mins = span * MINUTES_PER_DAY
hrs = span * HOURS_PER_DAY
days = span
wks = span / DAYS_PER_WEEK
months = span / DAYS_PER_MONTH # Approx
years = span / DAYS_PER_YEAR # Approx
if years > numticks:
locator = YearLocator(int(years / numticks), tz=tz) # define
fmt = '%Y'
elif months > numticks:
locator = MonthLocator(tz=tz)
fmt = '%b %Y'
elif wks > numticks:
locator = WeekdayLocator(tz=tz)
fmt = '%a, %b %d'
elif days > numticks:
locator = DayLocator(interval=int(math.ceil(days / numticks)), tz=tz)
fmt = '%b %d'
elif hrs > numticks:
locator = HourLocator(interval=int(math.ceil(hrs / numticks)), tz=tz)
fmt = '%H:%M\n%b %d'
elif mins > numticks:
locator = MinuteLocator(interval=int(math.ceil(mins / numticks)),
tz=tz)
fmt = '%H:%M:%S'
else:
locator = MinuteLocator(tz=tz)
fmt = '%H:%M:%S'
formatter = DateFormatter(fmt, tz=tz)
return locator, formatter
[docs]def seconds(s):
"""
Return seconds as days.
"""
return s / SEC_PER_DAY
[docs]def minutes(m):
"""
Return minutes as days.
"""
return m / MINUTES_PER_DAY
[docs]def hours(h):
"""
Return hours as days.
"""
return h / HOURS_PER_DAY
[docs]def weeks(w):
"""
Return weeks as days.
"""
return w * DAYS_PER_WEEK
class DateConverter(units.ConversionInterface):
"""
Converter for datetime.date and datetime.datetime data,
or for date/time data represented as it would be converted
by :func:`date2num`.
The 'unit' tag for such data is None or a tzinfo instance.
"""
@staticmethod
def axisinfo(unit, axis):
"""
Return the :class:`~matplotlib.units.AxisInfo` for *unit*.
*unit* is a tzinfo instance or None.
The *axis* argument is required but not used.
"""
tz = unit
majloc = AutoDateLocator(tz=tz)
majfmt = AutoDateFormatter(majloc, tz=tz)
datemin = datetime.date(2000, 1, 1)
datemax = datetime.date(2010, 1, 1)
return units.AxisInfo(majloc=majloc, majfmt=majfmt, label='',
default_limits=(datemin, datemax))
@staticmethod
def convert(value, unit, axis):
"""
If *value* is not already a number or sequence of numbers,
convert it with :func:`date2num`.
The *unit* and *axis* arguments are not used.
"""
return date2num(value)
@staticmethod
def default_units(x, axis):
"""
Return the tzinfo instance of *x* or of its first element, or None
"""
if isinstance(x, np.ndarray):
x = x.ravel()
try:
x = cbook.safe_first_element(x)
except (TypeError, StopIteration):
pass
try:
return x.tzinfo
except AttributeError:
pass
return None
units.registry[np.datetime64] = DateConverter()
units.registry[datetime.date] = DateConverter()
units.registry[datetime.datetime] = DateConverter()