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Math_Built-In_Functions - The table below describes the list of built-in math functions. These functions
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Copyright
Copyright © 2007-2011 The Khronos Group Inc.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and/or
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Description
The vector versions of the math functions operate component-wise. The description is per-component.
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 built-in math functions take scalar or vector arguments. For any specific use of these function, the
actual type has to be the same for all arguments and the return type unless otherwise specified.
The generic type name gentype is used to indicate that the function can take float, float2, float3,
float4, float8, float16, double, double2, double3, double4, double8, or double16 as the type for the
arguments.
If extended with cl_khr_fp16(3clc), generic type name gentype may indicate half and half{2|3|4|8|16} as
arguments and return values.
The generic type name gentypef is used to indicate that the function can take float, float2, float3,
float4, float8, or float16 as the type for the arguments.
The generic type name gentyped is used to indicate that the function can take double, double2, double3,
double4, double8, or double16 as the type for the arguments.
The math functions that are defined with the half_ prefix are implemented with a minimum of 10-bits of
accuracy i.e. an ULP value <= 8192 ulp.
The math functions that are defined with the native_ prefix may map to one or more native device
instructions and will typically have better performance compared to the corresponding functions (without
the native_ prefix) described. The accuracy (and in some cases the input range(s)) of these functions is
implementation-defined.
Name
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(3clc) │ acos(3clc) │ acos(3clc) │ asin(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ asin(3clc) │ asin(3clc) │ atan(3clc) │ atan(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ atan(3clc) │ atan(3clc) │ atan(3clc) │ cbrt(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ ceil(3clc) │ copysign(3clc) │ cos(3clc) │ cos(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ cos(3clc) │ erf(3clc) │ erf(3clc) │ exp(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ exp(3clc) │ exp(3clc) │ exp(3clc) │ fabs(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ fdim(3clc) │ floor(3clc) │ fma(3clc) │ fmax(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ fmin(3clc) │ fmod(3clc) │ fract(3clc) │ frexp(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ hypot(3clc) │ ilogb(3clc) │ ldexp(3clc) │ lgamma(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ lgamma(3clc) │ log(3clc) │ log(3clc) │ log(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ log(3clc) │ log(3clc) │ mad(3clc) │ mag(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ mag(3clc) │ modf(3clc) │ nan(3clc) │ nextafter(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ pow(3clc) │ pow(3clc) │ pow(3clc) │ remainder(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ remquo(3clc) │ rint(3clc) │ rootn(3clc) │ round(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ sqrt(3clc) │ sin(3clc) │ sin(3clc) │ sin(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ sin(3clc) │ sqrt(3clc) │ tan(3clc) │ tan(3clc) │
├──────────────┼────────────────┼─────────────┼─────────────────┤
│ tan(3clc) │ tgamma(3clc) │ trunc(3clc) │ │
└──────────────┴────────────────┴─────────────┴─────────────────┘
The table below describes the list of built-in math functions that are defined with the half_ or native_
prefix
┌────────────┬──────────────┬────────────┬───────────┐
│ cos(3clc) │ divide(3clc) │ exp(3clc) │ exp(3clc) │
├────────────┼──────────────┼────────────┼───────────┤
│ exp(3clc) │ log(3clc) │ log(3clc) │ log(3clc) │
├────────────┼──────────────┼────────────┼───────────┤
│ pow(3clc) │ recip(3clc) │ sqrt(3clc) │ sin(3clc) │
├────────────┼──────────────┼────────────┼───────────┤
│ sqrt(3clc) │ tan(3clc) │ │ │
└────────────┴──────────────┴────────────┴───────────┘
Notes
1. OpenCL Specification
page 244, section 6.12.2 - Math Functions
The Khronos Group 11/18/2024 MATHBUILT-INFUNCT(3clc)
See Also
mathConstants(3clc), FP_CONTRACT(3clc), macroLimits(3clc)
Specification
OpenCLSpecification[1]
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