```
gentype
```
| gentype x, |

gentype *iptr`)` |

Decompose a floating-point number. The `modf`

function breaks the
argument `x`

into integral and fractional parts, each of which has
the same sign as the argument. It stores the integral part in the object pointed to
by `iptr`

.

`modf`

behaves as though implemented by:

gentype `modf`

( gentype `value`

, gentype `*iptr`

)

{

`*iptr`

= trunc( `value`

);

return copysign( isinf( `value`

) ? 0.0 : `value`

- `*iptr`

, `value`

);

}

The built-in math functions are categorized into the following:

- A list of built-in functions that have scalar or vector argument versions, and,
- A list of built-in functions that only take scalar float arguments.

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, 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.

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