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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"

"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">

<head>

<title>Basic Units — Matplotlib 3.1.3 documentation</title>

type="text/css" />

type="text/css" />

title="Search within Matplotlib 3.1.3 documentation"

href="../../_static/opensearch.xml"/>

</head>

<body>

<div id="unreleased-message"> You are reading an old version of the documentation (v3.1.3). For the latest version see <a href="https://matplotlib.org/stable/gallery/units/basic_units.html">https://matplotlib.org/stable/gallery/units/basic_units.html</a></div>

<div style="float: left; position: absolute; width: 496px; bottom: 0; padding-bottom: 24px">Version 3.1.3</div>

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Click <a class="reference internal" href="#sphx-glr-download-gallery-units-basic-units-py">here</a> to download the full example code

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<h1>Basic Units<a class="headerlink" href="#basic-units" title="Permalink to this headline">¶</a></h1>

<div class="highlight-default notranslate"><div class="highlight"><pre>import math

import numpy as np

import matplotlib.units as units

import matplotlib.ticker as ticker

class ProxyDelegate(object):

def __init__(self, fn_name, proxy_type):

self.proxy_type = proxy_type

self.fn_name = fn_name

def __get__(self, obj, objtype=None):

return self.proxy_type(self.fn_name, obj)

class TaggedValueMeta(type):

def __init__(self, name, bases, dict):

for fn_name in self._proxies:

try:

dummy = getattr(self, fn_name)

except AttributeError:

setattr(self, fn_name,

<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ProxyDelegate</a>(fn_name, self._proxies[fn_name]))

class PassThroughProxy(object):

self.fn_name = fn_name

self.target = obj.proxy_target

def __call__(self, *args):

fn = getattr(self.target, self.fn_name)

ret = fn(*args)

return ret

class ConvertArgsProxy(<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>):

<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>.__init__(self, fn_name, obj)

self.unit = obj.unit

converted_args = []

for a in args:

try:

converted_args.append(a.convert_to(self.unit))

except AttributeError:

converted_args.append(<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(a, self.unit))

converted_args = tuple([c.get_value() for c in converted_args])

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>.__call__(self, *converted_args)

class ConvertReturnProxy(<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>):

self.unit = obj.unit

ret = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>.__call__(self, *args)

return (NotImplemented if ret is NotImplemented

else <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(ret, self.unit))

class ConvertAllProxy(<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>):

self.unit = obj.unit

converted_args = []

arg_units = [self.unit]

for a in args:

if hasattr(a, 'get_unit') and not hasattr(a, 'convert_to'):

# if this arg has a unit type but no conversion ability,

# this operation is prohibited

return NotImplemented

if hasattr(a, 'convert_to'):

try:

a = a.convert_to(self.unit)

except Exception:

pass

arg_units.append(a.get_unit())

else:

converted_args.append(a)

if hasattr(a, 'get_unit'):

else:

arg_units.append(None)

converted_args = tuple(converted_args)

if ret is NotImplemented:

return NotImplemented

ret_unit = <a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">unit_resolver</a>(self.fn_name, arg_units)

if ret_unit is NotImplemented:

return NotImplemented

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(ret, ret_unit)

class TaggedValue(metaclass=<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValueMeta</a>):

_proxies = {'__add__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__sub__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__mul__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__rmul__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__cmp__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__lt__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__gt__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">ConvertAllProxy</a>,

'__len__': <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">PassThroughProxy</a>}

def __new__(cls, value, unit):

# generate a new subclass for value

value_class = type(value)

try:

subcls = type(f'TaggedValue_of_{value_class.__name__}',

(cls, value_class), {})

if subcls not in <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry:

<a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry[subcls] = <a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">basicConverter</a>

return object.__new__(subcls)

except TypeError:

if cls not in <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry:

<a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry[cls] = <a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">basicConverter</a>

return object.__new__(cls)

def __init__(self, value, unit):

self.value = value

self.unit = unit

self.proxy_target = self.value

def __getattribute__(self, name):

if name.startswith('__'):

return object.__getattribute__(self, name)

variable = object.__getattribute__(self, 'value')

if hasattr(variable, name) and name not in self.__class__.__dict__:

return getattr(variable, name)

def __array__(self, dtype=object):

return <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.asarray.html#numpy.asarray" title="View documentation for numpy.asarray">np.asarray</a>(self.value).astype(dtype)

def __array_wrap__(self, array, context):

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(array, self.unit)

def __repr__(self):

return 'TaggedValue({!r}, {!r})'.format(self.value, self.unit)

def __str__(self):

return str(self.value) + ' in ' + str(self.unit)

def __len__(self):

return len(self.value)

def __iter__(self):

# Return a generator expression rather than use `yield`, so that

# TypeError is raised by iter(self) if appropriate when checking for

# iterability.

return (<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(inner, self.unit) for inner in self.value)

def get_compressed_copy(self, mask):

new_value = <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ma.masked_array.html#numpy.ma.masked_array" title="View documentation for numpy.ma.masked_array">np.ma.masked_array</a>(self.value, mask=mask).compressed()

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(new_value, self.unit)

def convert_to(self, unit):

if unit == self.unit or not unit:

return self

try:

new_value = self.unit.convert_value_to(self.value, unit)

except AttributeError:

new_value = self

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(new_value, unit)

def get_value(self):

return self.value

def get_unit(self):

return self.unit

class BasicUnit(object):

def __init__(self, name, fullname=None):

self.name = name

if fullname is None:

fullname = name

self.fullname = fullname

self.conversions = dict()

def __repr__(self):

return f'BasicUnit({self.name})'

def __str__(self):

return self.fullname

def __call__(self, value):

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(value, self)

def __mul__(self, rhs):

value = rhs

unit = self

if hasattr(rhs, 'get_unit'):

value = rhs.get_value()

unit = rhs.get_unit()

unit = <a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">unit_resolver</a>('__mul__', (self, unit))

if unit is NotImplemented:

return NotImplemented

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(value, unit)

def __rmul__(self, lhs):

return self*lhs

return <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>(array, self)

def __array__(self, t=None, context=None):

ret = <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html#numpy.array" title="View documentation for numpy.array">np.array</a>([1])

if t is not None:

return ret.astype(t)

else:

return ret

def add_conversion_factor(self, unit, factor):

def convert(x):

return x*factor

self.conversions[unit] = convert

def add_conversion_fn(self, unit, fn):

def get_conversion_fn(self, unit):

return self.conversions[unit]

def convert_value_to(self, value, unit):

conversion_fn = self.conversions[unit]

ret = conversion_fn(value)

return ret

def get_unit(self):

return self

class UnitResolver(object):

def addition_rule(self, <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>):

for unit_1, unit_2 in zip(<a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>[:-1], <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>[1:]):

if unit_1 != unit_2:

return NotImplemented

return <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>[0]

def multiplication_rule(self, <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>):

non_null = [u for u in <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a> if u]

if len(non_null) > 1:

return NotImplemented

return non_null[0]

op_dict = {

'__mul__': multiplication_rule,

'__rmul__': multiplication_rule,

'__add__': addition_rule,

'__radd__': addition_rule,

'__sub__': addition_rule,

'__rsub__': addition_rule}

def __call__(self, operation, <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>):

if operation not in self.op_dict:

return NotImplemented

return self.op_dict[operation](self, <a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">unit_resolver</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">UnitResolver</a>()

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">cm</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('cm', 'centimeters')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">inch</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('inch', 'inches')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">inch</a>.add_conversion_factor(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">cm</a>, 2.54)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">cm</a>.add_conversion_factor(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">inch</a>, 1/2.54)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('rad', 'radians')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">degrees</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('deg', 'degrees')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a>.add_conversion_factor(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">degrees</a>, 180.0/<a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.pi" title="View documentation for numpy.pi">np.pi</a>)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">degrees</a>.add_conversion_factor(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a>, <a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.pi" title="View documentation for numpy.pi">np.pi</a>/180.0)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">secs</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('s', 'seconds')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">hertz</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('Hz', 'Hertz')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">minutes</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>('min', 'minutes')

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">secs</a>.add_conversion_fn(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">hertz</a>, lambda x: 1./x)

<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">secs</a>.add_conversion_factor(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">minutes</a>, 1/60.0)

# radians formatting

def rad_fn(x, pos=None):

if x >= 0:

n = int((x / <a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.pi" title="View documentation for numpy.pi">np.pi</a>) * 2.0 + 0.25)

else:

n = int((x / <a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.pi" title="View documentation for numpy.pi">np.pi</a>) * 2.0 - 0.25)

if n == 0:

return '0'

elif n == 1:

return r'$\pi/2$'

elif n == 2:

return r'$\pi$'

elif n == -1:

return r'$-\pi/2$'

elif n == -2:

return r'$-\pi$'

elif n % 2 == 0:

return fr'${n//2}\pi$'

else:

return fr'${n}\pi/2$'

class BasicUnitConverter(<a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">units.ConversionInterface</a>):

@staticmethod

def axisinfo(unit, axis):

'return AxisInfo instance for x and unit'

if unit == <a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a>:

majloc=<a href="../../api/ticker_api.html#matplotlib.ticker.MultipleLocator" title="View documentation for matplotlib.ticker.MultipleLocator">ticker.MultipleLocator</a>(base=<a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.pi" title="View documentation for numpy.pi">np.pi</a>/2),

majfmt=<a href="../../api/ticker_api.html#matplotlib.ticker.FuncFormatter" title="View documentation for matplotlib.ticker.FuncFormatter">ticker.FuncFormatter</a>(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">rad_fn</a>),

label=unit.fullname,

)

elif unit == <a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">degrees</a>:

majloc=<a href="../../api/ticker_api.html#matplotlib.ticker.AutoLocator" title="View documentation for matplotlib.ticker.AutoLocator">ticker.AutoLocator</a>(),

majfmt=<a href="../../api/ticker_api.html#matplotlib.ticker.FormatStrFormatter" title="View documentation for matplotlib.ticker.FormatStrFormatter">ticker.FormatStrFormatter</a>(r'$%i^\circ$'),

label=unit.fullname,

)

elif unit is not None:

if hasattr(unit, 'fullname'):

return <a href="../../api/units_api.html#matplotlib.units.AxisInfo" title="View documentation for matplotlib.units.AxisInfo">units.AxisInfo</a>(label=unit.fullname)

elif hasattr(unit, 'unit'):

return None

@staticmethod

def convert(val, unit, axis):

if <a href="../../api/units_api.html#matplotlib.units.ConversionInterface.is_numlike" title="View documentation for matplotlib.units.ConversionInterface.is_numlike">units.ConversionInterface.is_numlike</a>(val):

return val

if np.iterable(val):

if isinstance(val, <a href="https://docs.scipy.org/doc/numpy/reference/maskedarray.baseclass.html#numpy.ma.MaskedArray" title="View documentation for numpy.ma.MaskedArray">np.ma.MaskedArray</a>):

val = val.astype(float).filled(<a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.nan" title="View documentation for numpy.nan">np.nan</a>)

out = <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.empty.html#numpy.empty" title="View documentation for numpy.empty">np.empty</a>(len(val))

for i, thisval in enumerate(val):

if <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.ma.is_masked.html#numpy.ma.is_masked" title="View documentation for numpy.ma.is_masked">np.ma.is_masked</a>(thisval):

out[i] = <a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.nan" title="View documentation for numpy.nan">np.nan</a>

else:

try:

out[i] = thisval.convert_to(unit).get_value()

except AttributeError:

out[i] = thisval

return out

return <a href="https://docs.scipy.org/doc/numpy/reference/constants.html#numpy.nan" title="View documentation for numpy.nan">np.nan</a>

else:

return val.convert_to(unit).get_value()

@staticmethod

def default_units(x, axis):

'return the default unit for x or None'

if np.iterable(x):

for thisx in x:

return thisx.unit

return x.unit

def cos(x):

if np.iterable(x):

return [<a href="https://docs.python.org/3/library/math.html#math.cos" title="View documentation for math.cos">math.cos</a>(val.convert_to(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a>).get_value()) for val in x]

else:

return <a href="https://docs.python.org/3/library/math.html#math.cos" title="View documentation for math.cos">math.cos</a>(x.convert_to(<a href="https://docs.python.org/3/library/functions.html#object" title="View documentation for builtins.object">radians</a>).get_value())

<a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">basicConverter</a> = <a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnitConverter</a>()

<a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry[<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">BasicUnit</a>] = <a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">basicConverter</a>

<a href="../../api/units_api.html#module-matplotlib.units" title="View documentation for matplotlib.units">units</a>.registry[<a href="https://docs.python.org/3/library/functions.html#type" title="View documentation for builtins.type">TaggedValue</a>] = <a href="../../api/units_api.html#matplotlib.units.ConversionInterface" title="View documentation for matplotlib.units.ConversionInterface">basicConverter</a>

</pre></div>

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<a class="reference download internal" download="" href="../../_downloads/c4a660cbb4f680c2b4c4a941af50870c/basic_units.py"><code class="xref download docutils literal notranslate">Download Python source code: basic_units.py</code></a></div>

<a class="reference download internal" download="" href="../../_downloads/72dc498fdda77f02bdd84286f5bf4fcb/basic_units.ipynb"><code class="xref download docutils literal notranslate">Download Jupyter notebook: basic_units.ipynb</code></a></div>

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Keywords: matplotlib code example, codex, python plot, pyplot

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