# exp, exp2, exp10, expm1 (including half_ and native_)

Exponent functions.

 ``` gentype exp (``` gentype x`)`
 ``` gentype exp2 (``` gentype `)`
 ``` gentype exp10 (``` gentype `)`
 ``` gentype expm1 (``` gentype x`)`
 ``` gentype half_exp (``` gentype x`)`
 ``` gentype half_exp2 (``` gentype x`)`
 ``` gentype half_exp10 (``` gentype x`)`
 ``` gentype native_exp (``` gentype x`)`
 ``` gentype native__exp2 (``` gentype x`)`
 ``` gentype native__exp10 (``` gentype x`)`

## Description

`exp` computes the base- e exponential of `x`.

`exp2` is the exponential base 2 function.

`exp10` is the exponential base 10 function.

`expm1` computes `e`x - 1.0.

`half_exp` computes the base- e exponential of `x`.

`half_exp2` computes the base- 2 exponential of `x`.

`half_exp10` computes the base- 10 exponential of `x`.

`native_exp` computes the base- e exponential of `x` over an implementation-defined range. The maximum error is implementation-defined.

`native_exp2` computes the base- 2 exponential of `x` over an implementation-defined range. The maximum error is implementation-defined.

`native_exp10` computes the base- 10 exponential of `x` over an implementation-defined range. The maximum error is implementation-defined.

## Notes

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.

These built-in math functions take 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.

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.

## Also see

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