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Mathematical Functions

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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: