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.. Copyright (c) 2016-2024 Keith O'Hara

   Distributed under the terms of the Apache License, Version 2.0.

   The full license is in the file LICENSE, distributed with this software.

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Mathematical functions
======================

.. toctree::

   algorithms

+---------------------------------------+----------------------------------------------------+
| :ref:`gcd <gcd-function-reference>`   | greatest common divisor                            |
+---------------------------------------+----------------------------------------------------+
| :ref:`lcm <lcm-function-reference>`   | least common multiple                              |
+---------------------------------------+----------------------------------------------------+


.. toctree::

   basic_functions

+---------------------------------------+----------------------------------------------------+
| :ref:`abs <abs-function-reference>`   | absolute value                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`fabs <fabs-function-reference>` | absolute value                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`fabsf <fabsf-func-ref>`         | absolute value                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`fabsl <fabsl-func-ref>`         | absolute value                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`ceil <ceil-function-reference>` | ceiling function                                   |
+---------------------------------------+----------------------------------------------------+
| :ref:`copysign <copysign-func-ref>`   | copy sign function                                 |
+---------------------------------------+----------------------------------------------------+
| :ref:`exp <exp-function-reference>`   | exponential function                               |
+---------------------------------------+----------------------------------------------------+
| :ref:`expm1 <expm1-func-ref>`         | exponential minus 1 function                       |
+---------------------------------------+----------------------------------------------------+
| :ref:`factorial <factorial-func-ref>` | factorial function                                 |
+---------------------------------------+----------------------------------------------------+
| :ref:`floor <floor-func-ref>`         | floor function                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`fmod <fmod-func-ref>`           | remainder of division function                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`hypot <hypot-func-ref>`         | Pythagorean addition function                      |
+---------------------------------------+----------------------------------------------------+
| :ref:`log <log-function-reference>`   | natural logarithm function                         |
+---------------------------------------+----------------------------------------------------+
| :ref:`log1p <log1p-func-ref>`         | natural logarithm 1 plus argument function         |
+---------------------------------------+----------------------------------------------------+
| :ref:`log2 <log2-func-ref>`           | binary logarithm function                          |
+---------------------------------------+----------------------------------------------------+
| :ref:`log10 <log10-func-ref>`         | common logarithm function                          |
+---------------------------------------+----------------------------------------------------+
| :ref:`max <max-function-reference>`   | maximum between two numbers                        |
+---------------------------------------+----------------------------------------------------+
| :ref:`min <min-function-reference>`   | minimum between two numbers                        |
+---------------------------------------+----------------------------------------------------+
| :ref:`pow <pow-function-reference>`   | power function                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`round <round-func-ref>`         | round function                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`signbit <signbit-func-ref>`     | sign bit function                                  |
+---------------------------------------+----------------------------------------------------+
| :ref:`sgn <sgn-function-reference>`   | sign function                                      |
+---------------------------------------+----------------------------------------------------+
| :ref:`sqrt <sqrt-function-reference>` | square root function                               |
+---------------------------------------+----------------------------------------------------+
| :ref:`inv_sqrt <inv_sqrt-func-ref>`   | inverse square root function                       |
+---------------------------------------+----------------------------------------------------+
| :ref:`trunc <trunc-func-ref>`         | truncate function                                  |
+---------------------------------------+----------------------------------------------------+

.. toctree::

   hyperbolic_functions

+---------------------------------------+----------------------------------------------------+
| :ref:`cosh <cosh-function-reference>` | hyperbolic cosine function                         |
+---------------------------------------+----------------------------------------------------+
| :ref:`sinh <sinh-function-reference>` | hyperbolic sine function                           |
+---------------------------------------+----------------------------------------------------+
| :ref:`tanh <tanh-function-reference>` | hyperbolic tangent function                        |
+---------------------------------------+----------------------------------------------------+
| :ref:`acosh <acosh-func-ref>`         | inverse hyperbolic cosine function                 |
+---------------------------------------+----------------------------------------------------+
| :ref:`asinh <asinh-func-ref>`         | inverse hyperbolic sine function                   |
+---------------------------------------+----------------------------------------------------+
| :ref:`atanh <atanh-func-ref>`         | inverse hyperbolic tangent function                |
+---------------------------------------+----------------------------------------------------+

.. toctree::

   special_functions

+---------------------------------------+----------------------------------------------------+
| :ref:`binomial_coef <binom-func-ref>` | binomial coefficient                               |
+---------------------------------------+----------------------------------------------------+
| :ref:`log_binomial_coef <lbinom-ref>` | log binomial coefficient                           |
+---------------------------------------+----------------------------------------------------+
| :ref:`beta <beta-function-reference>` | beta function                                      |
+---------------------------------------+----------------------------------------------------+
| :ref:`lbeta <lbeta-func-ref>`         | log-beta function                                  |
+---------------------------------------+----------------------------------------------------+
| :ref:`tgamma <tgamma-func-ref>`       | gamma function                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`lgamma <lgamma-func-ref>`       | log-gamma function                                 |
+---------------------------------------+----------------------------------------------------+
| :ref:`lmgamma <lmgamma-func-ref>`     | log-multivariate gamma function                    |
+---------------------------------------+----------------------------------------------------+
| :ref:`erf <erf-function-reference>`   | error function                                     |
+---------------------------------------+----------------------------------------------------+
| :ref:`incomplete_beta <ib-func-ref>`  | incomplete beta function                           |
+---------------------------------------+----------------------------------------------------+
| :ref:`incomplete_gamma <ig-func-ref>` | incomplete gamma function                          |
+---------------------------------------+----------------------------------------------------+
| :ref:`erf_inv <erf_inv-func-ref>`     | inverse error function                             |
+---------------------------------------+----------------------------------------------------+
| :ref:`incomplete_beta_inv <iib-ref>`  | inverse incomplete beta function                   |
+---------------------------------------+----------------------------------------------------+
| :ref:`incomplete_gamma_inv <iig-ref>` | inverse incomplete gamma function                  |
+---------------------------------------+----------------------------------------------------+

.. toctree::

   trigonometric_functions

+---------------------------------------+----------------------------------------------------+
| :ref:`cos <cos-function-reference>`   | cosine function                                    |
+---------------------------------------+----------------------------------------------------+
| :ref:`sin <sin-function-reference>`   | sine function                                      |
+---------------------------------------+----------------------------------------------------+
| :ref:`tan <tan-function-reference>`   | tangent function                                   |
+---------------------------------------+----------------------------------------------------+
| :ref:`acos <acos-function-reference>` | arccosine function                                 |
+---------------------------------------+----------------------------------------------------+
| :ref:`asin <asin-function-reference>` | arcsine function                                   |
+---------------------------------------+----------------------------------------------------+
| :ref:`atan <atan-function-reference>` | arctangent function                                |
+---------------------------------------+----------------------------------------------------+
| :ref:`atan2 <atan2-func-ref>`         | two-argument arctangent function                   |
+---------------------------------------+----------------------------------------------------+