# Licensed under a 3-clause BSD style license - see LICENSE.rst
"""
This module contains the classes and utility functions for distance and
cartesian coordinates.
"""
from __future__ import (absolute_import, division, print_function,
unicode_literals)
import numpy as np
from .. import units as u
__all__ = ['Distance']
__doctest_requires__ = {'*': ['scipy.integrate']}
[docs]class Distance(u.Quantity):
"""
A one-dimensional distance.
This can be initialized in one of four ways:
* A distance ``value`` (array or float) and a ``unit``
* A `~astropy.units.Quantity` object
* A redshift and (optionally) a cosmology.
* Providing a distance modulus
Parameters
----------
value : scalar or `~astropy.units.Quantity`.
The value of this distance.
unit : `~astropy.units.UnitBase`
The units for this distance, *if* ``value`` is not a
`~astropy.units.Quantity`. Must have dimensions of distance.
z : float
A redshift for this distance. It will be converted to a distance
by computing the luminosity distance for this redshift given the
cosmology specified by ``cosmology``. Must be given as a keyword
argument.
cosmology : ``Cosmology`` or `None`
A cosmology that will be used to compute the distance from ``z``.
If `None`, the current cosmology will be used (see
`astropy.cosmology` for details).
distmod : float or `~astropy.units.Quantity`
The distance modulus for this distance. Note that if ``unit`` is not
provided, a guess will be made at the unit between AU, pc, kpc, and Mpc.
dtype : `~numpy.dtype`, optional
See `~astropy.units.Quantity`.
copy : bool, optional
See `~astropy.units.Quantity`.
order : {'C', 'F', 'A'}, optional
See `~astropy.units.Quantity`.
subok : bool, optional
See `~astropy.units.Quantity`.
ndmin : int, optional
See `~astropy.units.Quantity`.
allow_negative : bool, optional
Whether to allow negative distances (which are possible is some
cosmologies). Default: ``False``.
Raises
------
`~astropy.units.UnitsError`
If the ``unit`` is not a distance.
ValueError
If value specified is less than 0 and ``allow_negative=False``.
If ``z`` is provided with a ``unit`` or ``cosmology`` is provided
when ``z`` is *not* given, or ``value`` is given as well as ``z``.
Examples
--------
>>> from astropy import units as u
>>> from astropy import cosmology
>>> from astropy.cosmology import WMAP5, WMAP7
>>> cosmology.set_current(WMAP7)
>>> d1 = Distance(10, u.Mpc)
>>> d2 = Distance(40, unit=u.au)
>>> d3 = Distance(value=5, unit=u.kpc)
>>> d4 = Distance(z=0.23)
>>> d5 = Distance(z=0.23, cosmology=WMAP5)
>>> d6 = Distance(distmod=24.47)
>>> d7 = Distance(Distance(10 * u.Mpc))
"""
_include_easy_conversion_members = True
def __new__(cls, value=None, unit=None, z=None, cosmology=None,
distmod=None, dtype=None, copy=True, order=None,
subok=False, ndmin=0, allow_negative=False):
if z is not None:
if value is not None or distmod is not None:
raise ValueError('Should given only one of `value`, `z` '
'or `distmod` in Distance constructor.')
if cosmology is None:
from ..cosmology import default_cosmology
cosmology = default_cosmology.get()
value = cosmology.luminosity_distance(z)
# Continue on to take account of unit and other arguments
# but a copy is already made, so no longer necessary
copy = False
else:
if cosmology is not None:
raise ValueError('A `cosmology` was given but `z` was not '
'provided in Distance constructor')
if distmod is not None:
if value is not None:
raise ValueError('Should given only one of `value`, `z` '
'or `distmod` in Distance constructor.')
value = cls._distmod_to_pc(distmod)
if unit is None:
# if the unit is not specified, guess based on the mean of
# the log of the distance
meanlogval = np.log10(value.value).mean()
if meanlogval > 6:
unit = u.Mpc
elif meanlogval > 3:
unit = u.kpc
elif meanlogval < -3: #~200 AU
unit = u.AU
else:
unit = u.pc
# Continue on to take account of unit and other arguments
# but a copy is already made, so no longer necessary
copy = False
elif value is None:
raise ValueError('None of `value`, `z`, or `distmod` were '
'given to Distance constructor')
# now we have arguments like for a Quantity, so let it do the work
distance = super(Distance, cls).__new__(
cls, value, unit, dtype=dtype, copy=copy, order=order,
subok=subok, ndmin=ndmin)
if not distance.unit.is_equivalent(u.m):
raise u.UnitsError('Unit "{0}" is not a length type'.format(unit))
if not allow_negative and np.any(distance.value < 0):
raise ValueError("Distance must be >= 0. Use the argument "
"'allow_negative=True' to allow negative values.")
return distance
def __quantity_subclass__(self, unit):
if unit.is_equivalent(u.m):
return Distance, True
else:
return super(Distance, self).__quantity_subclass__(unit)[0], False
@property
def z(self):
"""Short for ``self.compute_z()``"""
return self.compute_z()
[docs] def compute_z(self, cosmology=None):
"""
The redshift for this distance assuming its physical distance is
a luminosity distance.
Parameters
----------
cosmology : ``Cosmology`` or `None`
The cosmology to assume for this calculation, or `None` to use the
current cosmology (see `astropy.cosmology` for details).
Returns
-------
z : float
The redshift of this distance given the provided ``cosmology``.
"""
from scipy import optimize
if cosmology is None:
from ..cosmology import default_cosmology
cosmology = default_cosmology.get()
from ..cosmology import z_at_value
return z_at_value(cosmology.luminosity_distance, self, ztol=1.e-10)
@property
def distmod(self):
"""The distance modulus as a `~astropy.units.Quantity`"""
val = 5. * np.log10(self.to(u.pc).value) - 5.
return u.Quantity(val, u.mag)
@classmethod
def _distmod_to_pc(cls, dm):
dm = u.Quantity(dm, u.mag)
return cls(10 ** ((dm.value + 5) / 5.), u.pc, copy=False)
def _convert_to_and_validate_length_unit(unit, allow_dimensionless=False):
"""
raises UnitsError if not a length unit
"""
try:
unit = u.Unit(unit)
assert (unit.is_equivalent(u.kpc) or
allow_dimensionless and unit == u.dimensionless_unscaled)
except (TypeError, AssertionError):
raise u.UnitsError('Unit "{0}" is not a length type'.format(unit))
return unit