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.. Copyright (c) 2016, Johan Mabille, Sylvain Corlay
Distributed under the terms of the BSD 3-Clause License.
The full license is in the file LICENSE, distributed with this software.
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Mathematical functions
======================
Basic functions:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`abs` | absolute value |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`fabs` | absolute value of floating point values |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`fmod` | remainder of the floating point division operation |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`remainder` | signed remainder of the division operation |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`min` | smaller of two batches |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`max` | larger of two batches |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`fmin` | smaller of two batches of floating point values |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`fmax` | larger of two batches of floating point values |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`fdim` | positive difference |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`clip` | clipping operation |
+---------------------------------------+----------------------------------------------------+
Exponential functions:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`exp` | natural exponential function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`exp2` | base 2 exponential function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`exp10` | base 10 exponential function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`expm1` | natural exponential function, minus one |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`log` | natural logarithm function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`log2` | base 2 logarithm function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`log10` | base 10 logarithm function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`log1p` | natural logarithm of one plus function |
+---------------------------------------+----------------------------------------------------+
Power functions:
+-----------------------------------------+----------------------------------------------------+
| :cpp:func:`pow` | power function |
+-----------------------------------------+----------------------------------------------------+
| :cpp:func:`rsqrt` | reciprocal square root function |
+-----------------------------------------+----------------------------------------------------+
| :cpp:func:`sqrt` | square root function |
+-----------------------------------------+----------------------------------------------------+
| :cpp:func:`cbrt` | cubic root function |
+-----------------------------------------+----------------------------------------------------+
| :cpp:func:`hypot` | hypotenuse function |
+-----------------------------------------+----------------------------------------------------+
Trigonometric functions:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`sin` | sine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`cos` | cosine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`sincos` | sine and cosine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`tan` | tangent function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`asin` | arc sine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`acos` | arc cosine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`atan` | arc tangent function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`atan2` | arc tangent function, determining quadrants |
+---------------------------------------+----------------------------------------------------+
Hyperbolic functions:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`sinh` | hyperbolic sine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`cosh` | hyperbolic cosine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`tanh` | hyperbolic tangent function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`asinh` | inverse hyperbolic sine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`acosh` | inverse hyperbolic cosine function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`atanh` | inverse hyperbolic tangent function |
+---------------------------------------+----------------------------------------------------+
Error functions:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`erf` | error function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`erfc` | complementary error function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`tgamma` | gamma function |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`lgamma` | natural logarithm of the gamma function |
+---------------------------------------+----------------------------------------------------+
Nearint operations:
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`ceil` | nearest integers not less |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`floor` | nearest integers not greater |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`trunc` | nearest integers not greater in magnitude |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`round` | nearest integers, rounding away from zero |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`nearbyint` | nearest integers using current rounding mode |
+---------------------------------------+----------------------------------------------------+
| :cpp:func:`rint` | nearest integers using current rounding mode |
+---------------------------------------+----------------------------------------------------+
----
.. doxygengroup:: batch_math
:project: xsimd
:content-only:
.. doxygengroup:: batch_trigo
:project: xsimd
:content-only:
.. doxygengroup:: batch_rounding
:project: xsimd
:content-only:
.. doxygengroup:: batch_math_extra
:project: xsimd
:content-only:
|
