Other Alias
log, _log2, _log1p, _logb

gentype log(gentype );

gentype log2(gentype );

gentype log10(gentype );

gentype log1p(gentype x);

gentype logb(gentype x);

gentype half_log(gentype x);

gentype half_log2(gentype x);

gentype half_log10(gentype x);

gentype native_log(gentype x);

gentype native_log2(gentype x);

gentype native_log10(gentype x);
DESCRIPTION
log
log2 computes a base 2 logarithm.
log10 computes a base 10 logarithm.
log1p computes loge(1.0 + x).
logb computes the exponent of x, which is the integral part of logr x.
half_log computes natural logarithm.
half_log2 computes a base 2 logarithm.
half_log10 computes a base 10 logarithm.
native_log computes natural logarithm over an implementationdefined range. The maximum error is implementationdefined.
native_log2 computes a base 2 logarithm over an implementationdefined range. The maximum error is implementationdefined.
native_log10 computes a base 10 logarithm over an implementationdefined range. The maximum error is implementationdefined.
NOTES
The vector versions of the math functions operate componentwise. The description is percomponent.
The builtin 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 builtin 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{234816} 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.
Functions with the half_ prefix are implemented with a minimum of 10bits of accuracy i.e. an ULP value less than or equal to 8192 ulp.
Functions 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). The accuracy (and in some cases the input range(s)) of these functions is implementationdefined.
SPECIFICATION
m[blue]OpenCL Specificationm[][1]
AUTHORS
The Khronos Group
COPYRIGHT
Copyright © 20072011 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