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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) │ │ │
└───────────┴──────────────┴────────────┴───────────┘
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.
SPECIFICATION
OpenCL Specification[1]
SEE ALSO
mathConstants(3clc), FP_CONTRACT(3clc), macroLimits(3clc)
AUTHORS
The Khronos Group
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 associated documentation files (the "Materials"), to deal in the Materials
without restriction, including without limitation the rights to use, copy, modify, merge,
publish, distribute, sublicense, and/or sell copies of the Materials, and to permit
persons to whom the Materials are furnished to do so, subject to the condition that this
copyright notice and permission notice shall be included in all copies or substantial
portions of the Materials.
NOTES
1. OpenCL Specification
page 244, section 6.12.2 - Math Functions