Metadata-Version: 2.1
Name: uncertainties
Version: 3.1.7
Summary: Transparent calculations with uncertainties on the quantities involved (aka error propagation); fast calculation of derivatives
Home-page: http://uncertainties-python-package.readthedocs.io/
Author: Eric O. LEBIGOT (EOL)
Author-email: eric.lebigot@normalesup.org
License: Revised BSD License
Project-URL: Documentation, https://uncertainties-python-package.readthedocs.io/
Project-URL: Source, https://github.com/lebigot/uncertainties
Keywords: error propagation,uncertainties,uncertainty calculations,standard deviation,derivatives,partial derivatives,differentiation
Classifier: Development Status :: 5 - Production/Stable
Classifier: Intended Audience :: Developers
Classifier: Intended Audience :: Education
Classifier: Intended Audience :: Other Audience
Classifier: Intended Audience :: Science/Research
Classifier: License :: OSI Approved :: BSD License
Classifier: Operating System :: OS Independent
Classifier: Programming Language :: Python
Classifier: Programming Language :: Python :: 2.7
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3.1
Classifier: Programming Language :: Python :: 3.2
Classifier: Programming Language :: Python :: 3.3
Classifier: Programming Language :: Python :: 3.4
Classifier: Programming Language :: Python :: 3.5
Classifier: Programming Language :: Python :: 3.6
Classifier: Programming Language :: Python :: 3.7
Classifier: Programming Language :: Python :: 3.8
Classifier: Programming Language :: Python :: 3.9
Classifier: Programming Language :: Python :: Implementation :: Jython
Classifier: Programming Language :: Python :: Implementation :: PyPy
Classifier: Topic :: Education
Classifier: Topic :: Scientific/Engineering
Classifier: Topic :: Scientific/Engineering :: Mathematics
Classifier: Topic :: Scientific/Engineering :: Physics
Classifier: Topic :: Software Development
Classifier: Topic :: Software Development :: Libraries
Classifier: Topic :: Software Development :: Libraries :: Python Modules
Classifier: Topic :: Utilities
Provides-Extra: optional
Provides-Extra: docs
Provides-Extra: tests
Provides-Extra: all
License-File: LICENSE.txt

Overview
========

``uncertainties`` allows **calculations** such as (2 +/- 0.1)*2 = 4 +/-
0.2 to be **performed transparently**.  Much more complex mathematical
expressions involving numbers with uncertainties can also be evaluated
directly.

The ``uncertainties`` package **takes the pain and complexity out**
of uncertainty calculations.

**Detailed information** about this package can be found on its `main
website`_.

Basic examples
==============

.. code-block:: python

    >>> from uncertainties import ufloat

    >>> x = ufloat(2, 0.25)
    >>> x
    2.0+/-0.25

    >>> square = x**2  # Transparent calculations
    >>> square
    4.0+/-1.0
    >>> square.nominal_value
    4.0
    >>> square.std_dev  # Standard deviation
    1.0

    >>> square - x*x
    0.0  # Exactly 0: correlations taken into account

    >>> from uncertainties.umath import *  # sin(), etc.
    >>> sin(1+x**2)
    -0.95892427466313845+/-0.2836621854632263

    >>> print (2*x+1000).derivatives[x]  # Automatic calculation of derivatives
    2.0

    >>> from uncertainties import unumpy  # Array manipulation
    >>> random_vars = unumpy.uarray([1, 2], [0.1, 0.2])
    >>> print random_vars
    [1.0+/-0.1 2.0+/-0.2]
    >>> print random_vars.mean()
    1.50+/-0.11
    >>> print unumpy.cos(random_vars)
    [0.540302305868+/-0.0841470984808 -0.416146836547+/-0.181859485365]

Main features
=============

- **Transparent calculations with uncertainties**: **no or little
  modification of existing code** is needed.  Similarly, the Python_ (or
  IPython_) shell can be used as **a powerful calculator** that
  handles quantities with uncertainties (``print`` statements are
  optional, which is convenient).

- **Correlations** between expressions are correctly taken into
  account.  Thus, ``x-x`` is exactly zero, for instance (most
  implementations found on the web yield a non-zero uncertainty for
  ``x-x``, which is incorrect).

- **Almost all mathematical operations** are supported, including most
  functions from the standard math_ module (sin,...).  Comparison
  operators (``>``, ``==``, etc.) are supported too.

- Many **fast operations on arrays and matrices** of numbers with
  uncertainties are supported.

- **Extensive support for printing** numbers with uncertainties
  (including LaTeX support and pretty-printing).

- Most uncertainty calculations are performed **analytically**.

- This module also gives access to the **derivatives** of any
  mathematical expression (they are used by error
  propagation theory, and are thus automatically calculated by this
  module).


Installation or upgrade
=======================

Installation instructions are available on the `main web site
<http://uncertainties-python-package.readthedocs.io/en/latest/index.html#installation-and-download>`_
for this package.

Contact
=======

Please send **feature requests, bug reports, or feedback** to
`Eric O. LEBIGOT (EOL)`_.

Version history
===============

Main changes:

- 3.1.6: The pretty-print and LaTeX format can now be customized.
- 3.1.5: Added a "p" formatting option, that makes sure that there are always
  parentheses around the … ± … part of printed numbers.
- 3.1.4: Python 2.7+ is now required.
- 3.1.2: Fix for NumPy 1.17 and ``unumpy.ulinalg.pinv()``.
- 3.1: Variables built through a correlation or covariance matrix, and that
  have uncertainties that span many orders of magnitude are now
  calculated more accurately (improved ``correlated_values()`` and
  ``correlated_values_norm()`` functions).
- 3.0: Massive speedup for some operations involving large numbers of numbers with uncertainty, like ``sum(ufloat(1, 1) for _ in xrange(100000))`` (this is about 5,000 times faster than before).
- 2.4.8: Friendlier completions in Python shells, etc.: internal functions should not appear anymore (for the user modules: ``uncertainties``, ``uncertainties.umath`` and  ``uncertainties.unumpy``). Parsing the shorthand notation (e.g. ``3.1(2)``) now works with infinite values (e.g. ``-inf(inf)``); this mirrors the ability to print such numbers with uncertainty. The Particle Data Group rounding rule is applied in more cases (e.g. printing 724.2±26.2 now gives ``724±26``). The shorthand+LaTeX formatting of numbers with an infinite nominal value is fixed. ``uncertainties.unumpy.matrix`` now uses ``.std_devs`` instead of ``.std_devs()``, for consistency with floats with uncertainty (automatic conversion of code added to ``uncertainties.1to2``).
- 2.4.7: String formatting now works for ``(-)inf+/-...`` numbers.
- 2.4.5: String formatting now works for ``NaN+/-...`` numbers.
- 2.4.4: The documentation license now allows its commercial use.
- 2.4.2: `NumPy 1.8 compatibility <https://github.com/numpy/numpy/issues/4063>`_.
- 2.4.1: In ``uncertainties.umath``, functions ``ceil()``, ``floor()``,
  ``isinf()``, ``isnan()`` and ``trunc()`` now return values of
  the same type as the corresponding ``math`` module function
  (instead of generally returning a value with a zero uncertainty
  ``...+/-0``).
- 2.4: Extensive support for the formatting_ of numbers with uncertainties.
  A zero uncertainty is now explicitly displayed as the integer 0.
  The new formats are generally understood by ``ufloat_fromstr()``.
  Abbreviations for the nominal value (``n``) and the standard
  deviation (``s``) are now available.
- 2.3.6:  Full support for limit cases of the power operator
  ``umath.pow()``.
- 2.3.5: Uncertainties and derivatives can now be NaN (not-a-number).
  Full support for numbers with a zero uncertainty
  (``sqrt(ufloat(0, 0))`` now works).
  Full support for limit cases of the power operator (``x**y``).
- 2.3: Functions wrapped
  so that they accept numbers with uncertainties instead of floats
  now have full keyword arguments support
  (improved ``wrap()`` function). Incompatible change:
  ``wrap(..., None)`` should be replaced by ``wrap(...)`` or
  ``wrap(..., [])``.
- 2.2: Creating arrays and matrices of numbers with uncertainties
  with ``uarray()`` and ``umatrix()`` now requires two simple arguments
  (nominal values and standard deviations) instead of a tuple argument.
  This is consistent with the new, simpler ``ufloat()`` interface.
  The previous
  usage will be supported for some time. Users are encouraged to update
  their code, for instance through the newly provided `code updater`_,
  which in addition now automatically converts ``.set_std_dev(v)`` to
  ``.std_dev = v``.
- 2.1: Numbers with uncertainties are now created more directly like
  ``ufloat(3, 0.1)``, ``ufloat(3, 0.1, "pi")``,
  ``ufloat_fromstr("3.0(1)")``, or ``ufloat_fromstr("3.0(1)", "pi")``.
  The previous ``ufloat((3, 0.1))`` and ``ufloat("3.0(1)")`` forms
  will be supported for some time. Users are encouraged to update
  their code, for instance through the newly provided `code updater`_.
- 2.0: The standard deviation is now obtained more directly without an
  explicit
  call (``x.std_dev`` instead of ``x.std_dev()``). ``x.std_dev()``
  will be supported for some time. Users are encouraged to update
  their code. The standard deviation of a variable can now be
  directly updated with ``x.std_dev = 0.1``. As a consequence,
  ``x.set_std_dev()`` is deprecated.
- 1.9.1: Support added for pickling subclasses of ``UFloat`` (= ``Variable``).
- 1.9: Added functions for handling correlation matrices:
  ``correlation_matrix()`` and
  ``correlated_values_norm()``. (These new functions mirror the
  covariance-matrix based ``covariance_matrix()`` and
  ``correlated_values()``.) ``UFloat.position_in_sigmas()`` is
  now named ``UFloat.std_score()``, so as to follow the common
  naming convention (`standard score
  <http://en.wikipedia.org/wiki/Standard_score>`_).  Obsolete
  functions were removed (from the main module:
  ``NumberWithUncert``, ``num_with_uncert``, ``array_u``,
  ``nominal_values``, ``std_devs``).
- 1.8: Compatibility with Python 3.2 added.
- 1.7.2: Compatibility with Python 2.3, Python 2.4, Jython 2.5.1 and
  Jython 2.5.2 added.
- 1.7.1: New semantics: ``ufloat("12.3(78)")`` now represents 12.3+/-7.8
  instead of 12.3+/-78.
- 1.7: ``ufloat()`` now raises ValueError instead of a generic Exception,
  when given an incorrect
  string representation, like ``float()`` does.
- 1.6: Testing whether an object is a number with uncertainty should now
  be done with ``isinstance(..., UFloat)``.
  ``AffineScalarFunc`` is not imported by ``from uncertainties import *``
  anymore, but its new alias ``UFloat`` is.
- 1.5.5: The first possible license is now the Revised BSD License
  instead of GPLv2, which
  makes it easier to include this package in other projects.
- 1.5.4.2: Added ``umath.modf()`` and ``umath.frexp()``.
- 1.5.4: ``ufloat`` does not accept a single number (nominal value) anymore.
  This removes some potential confusion about
  ``ufloat(1.1)`` (zero uncertainty) being different from
  ``ufloat("1.1")`` (uncertainty of 1 on the last digit).
- 1.5.2: ``float_u``, ``array_u`` and ``matrix_u`` renamed ``ufloat``,
  ``uarray`` and ``umatrix``, for ease of typing.
- 1.5:  Added functions ``nominal_value`` and ``std_dev``, and
  modules ``unumpy`` (additional support for NumPy_ arrays and
  matrices) and ``unumpy.ulinalg`` (generalization of some
  functions from ``numpy.linalg``).
  Memory footprint of arrays of numbers with uncertainties
  divided by 3.
  Function ``array_u`` is 5 times faster.
  Main function ``num_with_uncert`` renamed
  ``float_u``, for consistency with ``unumpy.array_u`` and
  ``unumpy.matrix_u``, with the added benefit of a shorter name.
- 1.4.5: Added support for the standard ``pickle`` module.
- 1.4.2: Added support for the standard ``copy`` module.
- 1.4: Added utilities for manipulating NumPy_ arrays of numbers with
  uncertainties (``array_u``, ``nominal_values`` and ``std_devs``).
- 1.3: Numbers with uncertainties are now constructed with
  ``num_with_uncert()``, which replaces ``NumberWithUncert()``.  This
  simplifies the class hierarchy by removing the ``NumberWithUncert`` class.
- 1.2.5: Numbers with uncertainties can now be entered as
  ``NumberWithUncert("1.23+/-0.45")`` too.
- 1.2.3: ``log(x, base)`` is now supported by ``umath.log()``, in addition
  to ``log(x)``.
- 1.2.2: Values with uncertainties are now output like 3+/-1, in order
  to avoid confusing 3+-1 with 3+(-1).
- 1.2: A new function, ``wrap()``, is exposed, which allows non-Python
  functions (e.g. Fortran or C used through a module such as SciPy) to
  handle numbers with uncertainties.
- 1.1: Mathematical functions (such as cosine, etc.) are in a new
  uncertainties.umath module;
  they do not override functions from the ``math`` module anymore.
- 1.0.12: Main class (``Number_with_uncert``) renamed ``NumberWithUncert``
  so as to follow `PEP 8`_.
- 1.0.11: ``origin_value`` renamed more appropriately as
  ``nominal_value``.
- 1.0.9: ``correlations()`` renamed more appropriately as
  ``covariance_matrix()``.

.. _Python: http://docs.python.org/tutorial/interpreter.html
.. _IPython: http://ipython.readthedocs.io/en/stable/
.. _NumPy: http://numpy.scipy.org/
.. _math: http://docs.python.org/library/math.html
.. _PEP 8: http://www.python.org/dev/peps/pep-0008/
.. _error propagation theory: http://en.wikipedia.org/wiki/Propagation_of_uncertainty
.. _Eric O. LEBIGOT (EOL): mailto:eric.lebigot@normalesup.org
.. _PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=4TK7KNDTEDT4S
.. _main website: http://uncertainties-python-package.readthedocs.io/
.. _code updater: http://uncertainties-python-package.readthedocs.io/en/latest/index.html#migration-from-version-1-to-version-2
.. _formatting: http://uncertainties-python-package.readthedocs.io/en/latest/user_guide.html#printing
