Python bindings for CRlibm, an efficient and proven correctly-rounded mathematical library
Project description
Python bindings for CRlibm, an efficient and proven correctly-rounded mathematical library.
CRlibm is a free mathematical library (libm) which provides:
implementations of the double-precision C99 standard elementary functions,
correctly rounded in the four IEEE-754 rounding modes,
with a comprehensive proof of both the algorithms used and their implementation,
sufficiently efficient in average time, worst-case time, and memory consumption to replace existing libms transparently.
Installation
At the command line:
$ pip install crlibm
Or, alternatively:
$ easy_install crlibm
Usage
In Python:
>>> import crlibm >>> crlibm.exp_ru(1) 2.7182818284590455 >>> crlibm.exp_rd(1) 2.718281828459045
Features
This project provides the bindings for the functions in the following table:
f(x) |
Round to nearest |
Round up (to +∞) |
Round down (to -∞) |
Round to 0 |
Exponentials and logarithms |
||||
exp(x) |
exp_rn |
exp_ru |
exp_rd |
exp_rz |
exp(x)-1 |
expm1_rn |
expm1_ru |
expm1_rd |
expm1_rz |
log(x) |
log_rn |
log_ru |
log_rd |
log_rz |
log(1+x) |
log1p_rn |
log1p_ru |
log1p_rd |
log1p_rz |
log(x)/log(2) |
log2_rn |
log2_ru |
log2_rd |
log2_rz |
log(x)/log(10) |
log10_rn |
log10_ru |
log10_rd |
log10_rz |
sinh(x) |
sinh_rn |
sinh_ru |
sinh_rd |
sinh_rz |
cosh(x) |
cosh_rn |
cosh_ru |
cosh_rd |
cosh_rz |
Trigonometry |
||||
sin(x) |
sin_rn |
sin_ru |
sin_rd |
sin_rz |
cos(x) |
cos_rn |
cos_ru |
cos_rd |
cos_rz |
tan(x) |
tan_rn |
tan_ru |
tan_rd |
tan_rz |
asin(x) |
asin_rn |
asin_ru |
asin_rd |
asin_rz |
acos(x) |
acos_rn |
acos_ru |
acos_rd |
acos_rz |
atan(x) |
atan_rn |
atan_ru |
atan_rd |
atan_rz |
Trigonometry in multiples of π |
||||
sin(π * x) |
sinpi_rn |
sinpi_ru |
sinpi_rd |
sinpi_rz |
cos(π * x) |
cospi_rn |
cospi_ru |
cospi_rd |
cospi_rz |
tan(π * x) |
tanpi_rn |
tanpi_ru |
tanpi_rd |
tanpi_rz |
asin(x)/π |
asinpi_rn |
asinpi_ru |
asinpi_rd |
asinpi_rz |
acos(x)/π |
acospi_rn |
acospi_ru |
acospi_rd |
acospi_rz |
atan(x)/π |
atanpi_rn |
atanpi_ru |
atanpi_rd |
atanpi_rz |
The function pow in CRlibm is not exported.
License
Both the CRlibm library and the Python bindings are distributed under the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version.
History
These Python bindings are a spin-off of PyInterval, a project for interval arithmetic in Python.
1.0.0 (2015-10-27)
First release on PyPI.
Links
Project home page: https://github.com/taschini/pycrlibm.
Documentation: https://pycrlibm.readthedocs.org.
Entry in the Python Package Index: https://pypi-hypernode.com/pypi/crlibm.
CRlibm home page: http://lipforge.ens-lyon.fr/www/crlibm.
LGPL v2.1: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
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