```
gentype
```
| gentype `)` |

```
gentype
```
| gentype `)` |

```
gentype
```
| gentype `)` |

```
gentype
```
| gentype x`)` |

```
gentype
```
| gentype x`)` |

`log`

computes natural logarithm.

`log2`

computes a base 2 logarithm.

`log10`

computes a base 10 logarithm.

`log1p`

computes log_{e}(1.0 + `x`

).

`logb`

computes the exponent of `x`

, which is the integral part of log_{r} |`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 implementation-defined range. The maximum error is implementation-defined.

`native_log2`

computes a base 2 logarithm over an implementation-defined range. The maximum error is implementation-defined.

`native_log10`

computes a base 10 logarithm over an implementation-defined range. The maximum error is implementation-defined.

Functions with the `half_`

prefix are implemented with a minimum of 10-bits 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 implementation-defined.

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.

This built-in math function takes scalar or vector arguments. The generic type name gentype is used to indicate that the function can take float, float2, float4, float8, or float16 as the type for the arguments. For any specific use of these function, the actual type has to be the same for all arguments and the return type.

If extended with cl_khr_fp64, generic type name gentype may indicate double and double{2|4|8|16} as arguments and return values. If extended with cl_khr_fp16, generic type name gentype may indicate half and half{2|4|8|16} as arguments and return values.

Copyright © 2007-2009 The Khronos Group Inc.
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copy of this software and/or associated documentation files (the
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