# Math Built-In Functions

The table below describes the list of built-in math functions. These functions can take scalar or vector arguments. Click an item in the table for details about that function.

 acos acosh acospi asin asinh asinpi atan atan2 atanh atanpi atan2pi cbrt ceil copysign cos cosh cospi erfc erf exp exp2 exp10 expm1 fabs fdim floor fma fmax fmin fmod fract frexp hypot ilogb ldexp lgamma lgamma_r log log2 log10 log1p logb mad modf nan nextafter pow pown powr remainder remquo rint rootn round rsqrt sin sincos sinh sinpi sqrt tan tanh tanpi tgamma trunc

The table below describes the list of built-in math functions that are defined with the `half_` or `native_` prefix

 (half | native)_ cos (half | native)_ divide (half | native)_ exp (half | native)_ exp2 (half | native)_exp10 (half | native)_ log (half | native)_ log2 (half | native)_ log10 (half | native)_ powr (half | native)_ recip (half | native)_ rsqrt (half | native)_ sin (half | native)_ sqrt (half | native)_ tan

## Description

The built-in math functions are not affected by the prevailing rounding mode in the calling environment, and always return the same value as they would if called with the round to nearest even rounding mode. The regular built-in math functions can take scalar or vector arguments. For any specific use of a function, the actual type has to be the same for all arguments and the return type, unless otherwise specified. For more information, see the reference page for a specific function.

The built-in math functions are extended with cl_khr_fp64 to include appropriate versions of functions that take double and double{2|4|8|16} as arguments and return values. They are also extended with cl_khr_fp16 to include appropriate versions of functions that take half and half{2|4|8|16} as arguments and return values.

## Also see

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