| .. _astropy-units-format: |
|
|
| String representations of units |
| ******************************* |
|
|
| .. |quantity| replace:: :class:`~astropy.units.Quantity` |
|
|
| .. |unit| replace:: :class:`~astropy.units.UnitBase` |
|
|
| Converting units to string representations |
| ========================================== |
|
|
| You can control the way that |quantity| and |unit| objects are rendered as |
| strings using the new `Format String Syntax |
| <https://docs.python.org/3/library/string.html#format-string-syntax>`__. |
| New-style format strings use the ``"{}".format()`` syntax. Most of |
| the format specifiers are similar to the old ``%``-style formatting, |
| so things like ``0.003f`` still work, just in the form |
| ``"{:0.003f}".format()``. |
|
|
| For quantities, format specifiers, like ``0.003f`` will be applied to |
| the |quantity| value, without affecting the unit. Specifiers like |
| ``20s``, which would only apply to a string, will be applied to the |
| whole string representation of the |quantity|. This means you can do:: |
|
|
| >>> from astropy import units as u |
| >>> import numpy as np |
| >>> q = 10.5 * u.km |
| >>> q |
| <Quantity 10.5 km> |
| >>> "{0}".format(q) |
| '10.5 km' |
| >>> "{0:+0.03f}".format(q) |
| '+10.500 km' |
| >>> "{0:20s}".format(q) |
| '10.5 km ' |
|
|
| To format both the value and the unit separately, you can access the |quantity| |
| class attributes within new-style format strings:: |
|
|
| >>> q = 10.5 * u.km |
| >>> q |
| <Quantity 10.5 km> |
| >>> "{0.value:0.003f} in {0.unit:s}".format(q) |
| '10.500 in km' |
|
|
| Because Numpy arrays don't accept most format specifiers, using specifiers like |
| ``0.003f`` will not work when applied to a Numpy array or non-scalar |quantity|. |
| Use :func:`numpy.array_str` instead. For example:: |
|
|
| >>> q = np.linspace(0,1,10) * u.m |
| >>> "{0} {1}".format(np.array_str(q.value, precision=1), q.unit) # doctest: +FLOAT_CMP |
| '[0. 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 1. ] m' |
|
|
| Examine the numpy documentation for more examples with :func:`numpy.array_str`. |
|
|
| Units, or the unit part of a quantity, can also be formatted in a |
| number of different styles. By default, the string format used is |
| referred to as the "generic" format, which is based on syntax of the |
| FITS standard's format for representing units, but supports all of the |
| units defined within the `astropy.units` framework, including |
| user-defined units. The format specifier (and |
| `~astropy.units.core.UnitBase.to_string`) functions also take an |
| optional parameter to select a different format, including |
| ``"latex"``, ``"unicode"``, ``"cds"``, and others, defined below. |
|
|
| >>> "{0.value:0.003f} in {0.unit:latex}".format(q) # doctest: +SKIP |
| '10.000 in $\\mathrm{km}$' |
| >>> fluxunit = u.erg / (u.cm ** 2 * u.s) |
| >>> "{0}".format(fluxunit) |
| u'erg / (cm2 s)' |
| >>> print("{0:console}".format(fluxunit)) |
| erg |
| |
| s cm^2 |
| >>> "{0:latex}".format(fluxunit) |
| u'$\\mathrm{\\frac{erg}{s\\,cm^{2}}}$' |
| >>> "{0:>20s}".format(fluxunit) |
| u' erg / (cm2 s)' |
|
|
| The `~astropy.units.core.UnitBase.to_string` method is an alternative way to |
| format units as strings, and is the underlying implementation of the |
| `format`-style usage:: |
|
|
| >>> fluxunit = u.erg / (u.cm ** 2 * u.s) |
| >>> fluxunit.to_string('latex') |
| u'$\\mathrm{\\frac{erg}{s\\,cm^{2}}}$' |
|
|
| Creating units from strings |
| =========================== |
|
|
| Units can also be created from strings in a number of different |
| formats using the `~astropy.units.Unit` class:: |
|
|
| >>> from astropy import units as u |
| >>> u.Unit("m") |
| Unit("m") |
| >>> u.Unit("erg / (s cm2)") |
| Unit("erg / (cm2 s)") |
| >>> u.Unit("erg.s-1.cm-2", format="cds") |
| Unit("erg / (cm2 s)") |
|
|
| .. note:: |
|
|
| Creating units from strings requires the use of a specialized |
| parser for the unit language, which results in a performance |
| penalty if units are created using strings. Thus, it is much |
| faster to use unit objects directly (e.g., ``unit = u.degree / |
| u.minute``) instead of via string parsing (``unit = |
| u.Unit('deg/min')``). This parser is very useful, however, if your |
| unit definitions are coming from a file format such as FITS or |
| VOTable. |
|
|
| Built-in formats |
| ================ |
|
|
| `astropy.units` includes support for parsing and writing the following |
| formats: |
|
|
| - ``"fits"``: This is the format defined in the Units section of the |
| `FITS Standard <https://fits.gsfc.nasa.gov/fits_standard.html>`__. |
| Unlike the "generic" string format, this will only accept or |
| generate units defined in the FITS standard. |
|
|
| - ``"vounit"``: The `Units in the VO 1.0 |
| <http://www.ivoa.net/Documents/VOUnits/>`__ standard for |
| representing units in the VO. Again, based on the FITS syntax, |
| but the collection of supported units is different. |
|
|
| - ``"cds"``: `Standards for astronomical catalogues from Centre de |
| Données astronomiques de Strasbourg |
| <http://cds.u-strasbg.fr/doc/catstd-3.2.htx>`__: This is the |
| standard used by `Vizier tables <http://vizier.u-strasbg.fr/>`__, |
| as well as what is used by VOTable versions 1.2 and earlier. |
|
|
| - ``"ogip"``: A standard for storing units as recommended by the |
| `Office of Guest Investigator Programs (OGIP) |
| <https://heasarc.gsfc.nasa.gov/docs/heasarc/ofwg/docs/general/ogip_93_001/>`_. |
|
|
| `astropy.units` is also able to write, but not read, units in the |
| following formats: |
|
|
| - ``"latex"``: Writes units out using LaTeX math syntax using the |
| `IAU Style Manual |
| <https://www.iau.org/static/publications/stylemanual1989.pdf>`__ |
| recommendations for unit presentation. This format is |
| automatically used when printing a unit in the IPython notebook:: |
|
|
| >>> fluxunit # doctest: +SKIP |
|
|
| .. math:: |
|
|
| \mathrm{\frac{erg}{s\,cm^{2}}} |
|
|
| - ``"latex_inline"``: Writes units out using LaTeX math syntax using the |
| `IAU Style Manual |
| <https://www.iau.org/static/publications/stylemanual1989.pdf>`__ |
| recommendations for unit presentation, using negative powers instead of |
| fractions, as required by some journals (e.g., `Apj and AJ |
| <https://journals.aas.org/manuscript-preparation/>`_.) |
| Best suited for unit representation inline with text:: |
|
|
| >>> fluxunit.to_string('latex_inline') # doctest: +SKIP |
|
|
| .. math:: |
|
|
| \mathrm{erg\,s^{-1}\,cm^{-2}} |
|
|
| - ``"console"``: Writes a multi-line representation of the unit |
| useful for display in a text console:: |
|
|
| >>> print(fluxunit.to_string('console')) |
| erg |
| |
| s cm^2 |
|
|
| - ``"unicode"``: Same as ``"console"``, except uses Unicode |
| characters:: |
|
|
| >>> print(u.Ry.decompose().to_string('unicode')) # doctest: +SKIP |
| m² kg |
| 2.1798721×10-¹⁸ ───── |
| s² |
|
|
| Unrecognized Units |
| ================== |
|
|
| Since many files in found in the wild have unit strings that do not |
| correspond to any given standard, `astropy.units` also has a |
| consistent way to store and pass around unit strings that did not |
| parse. |
|
|
| Normally, passing an unrecognized unit string raises an exception:: |
|
|
| >>> # The FITS standard uses 'angstrom', not 'Angstroem' |
| >>> u.Unit("Angstroem", format="fits") |
| Traceback (most recent call last): |
| ... |
| ValueError: 'Angstroem' did not parse as fits unit: At col 0, Unit |
| 'Angstroem' not supported by the FITS standard. Did you mean |
| Angstrom or angstrom? |
|
|
| However, the `~astropy.units.Unit` constructor has the keyword |
| argument ``parse_strict`` that can take one of three values to control |
| this behavior: |
|
|
| - ``'raise'``: (default) raise a ValueError exception. |
|
|
| - ``'warn'``: emit a Warning, and return an |
| `~astropy.units.UnrecognizedUnit` instance. |
|
|
| - ``'silent'``: return an `~astropy.units.UnrecognizedUnit` |
| instance. |
|
|
| So, for example, one can do:: |
|
|
| >>> x = u.Unit("Angstroem", format="fits", parse_strict="warn") # doctest: +SKIP |
| WARNING: UnitsWarning: 'Angstroem' did not parse as unit format |
| 'fits': At col 0, 'Angstroem' is not a valid unit in string |
| 'Angstroem' [astropy.units.core] |
|
|
| This `~astropy.units.UnrecognizedUnit` object remembers the |
| original string it was created with, so it can be written back out, |
| but any meaningful operations on it, such as converting to another |
| unit or composing with other units, will fail. |
|
|
| >>> x.to_string() # doctest: +SKIP |
| 'Angstroem' |
| >>> x.to(u.km) # doctest: +SKIP |
| Traceback (most recent call last): |
| ... |
| ValueError: The unit 'Angstroem' is unrecognized. It can not be |
| converted to other units. |
| >>> x / u.m # doctest: +SKIP |
| Traceback (most recent call last): |
| ... |
| ValueError: The unit 'Angstroem' is unrecognized, so all arithmetic |
| operations with it are invalid. |
|
|