sqrt

> # NAME

> sqrt - returns square root of scalars and vectors.

> # SYNOPSIS

>       float  sqrt(float a);
>       float1 sqrt(float1 a);
>       float2 sqrt(float2 a);
>       float3 sqrt(float3 a);
>       float4 sqrt(float4 a);

>       half   sqrt(half a);
>       half1  sqrt(half1 a);
>       half2  sqrt(half2 a);
>       half3  sqrt(half3 a);
>       half4  sqrt(half4 a);

>       fixed  sqrt(fixed a);
>       fixed1 sqrt(fixed1 a);
>       fixed2 sqrt(fixed2 a);
>       fixed3 sqrt(fixed3 a);
>       fixed4 sqrt(fixed4 a);

> # PARAMETERS

> a

>   Vector or scalar of which to determine the square root.

> # DESCRIPTION

> Returns the square root of a.

> For vectors, the returned vector contains the square root of each element of the input vector.

> The square root of zero is zero.

> Ideally, the square root of negative values returns NaN (Not a Number).

> sqrt often implemented as the reciprocal of a reciporcal squrare root approximation in older profiles.

> # REFERENCE IMPLEMENTATION

> sqrt is best implemented as a native square root instruction, however sqrt may be implemented via a rsqrt function:

>       float3 sqrt(float3 a)
>       {
>         return 1.0 / rsqrt(a);
>       }

> # PROFILE SUPPORT

> sqrt is fully supported in all profiles unless otherwise specified. sqrt is unsupported in the fp20 profile.

> # SEE ALSO

> normalize, pow, rsqrt