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Name: uncertainties
Version: 1.8
Summary: Transparent calculations with uncertainties on the quantities involved (aka "error propagation"); fast calculation of derivatives
Home-page: http://packages.python.org/uncertainties/
Author: Eric O. LEBIGOT (EOL)
Author-email: eric.lebigot@normalesup.org
License: This software can be used under one of the following two licenses: (1) The BSD license. (2) Any other license, as long as it is obtained from the original author.
Description: 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.
**Detailed information** about this package can be found on its `main
website`_.
Basic examples
==============
::
>>> 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]
>>> random_vars.mean()
1.5+/-0.1118033988749895
>>> 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.
- 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).
- Many **fast operations on arrays and matrices** of numbers with
uncertainties are supported.
Installation or upgrade
=======================
Installation instructions are available on the `main web site
<http://packages.python.org/uncertainties/#installation-and-download>`_
for this package.
Contact
=======
Please send **feature requests, bug reports, or feedback** to
`Eric O. LEBIGOT (EOL)`_.
Please **support this program** and its future development by donating
$5 or more through PayPal_.
Version history
===============
Main changes:
- 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 BSD 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.scipy.org/
.. _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
.. _setuptools: http://pypi.python.org/pypi/setuptools
.. _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://packages.python.org/uncertainties/
Keywords: error propagation,uncertainties,uncertainty calculations,standard deviation,derivatives,partial derivatives,differentiation
Platform: UNKNOWN
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 :: 2.3
Classifier: Programming Language :: Python :: 2.4
Classifier: Programming Language :: Python :: 2.5
Classifier: Programming Language :: Python :: 2.6
Classifier: Programming Language :: Python :: 2.7
Classifier: Programming Language :: Python :: 3
Classifier: Programming Language :: Python :: 3.2
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
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