asin

> # NAME

> asin - returns arcsine of scalars and vectors.

> # SYNOPSIS

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

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

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

> # PARAMETERS

> a

>   Vector or scalar of which to determine the arcsine.

> # DESCRIPTION

> Returns the arcsine of a in the range [-pi/2,+pi/2], expecting a to be in the range [-1,+1].

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

> # REFERENCE IMPLEMENTATION

> asin for a float scalar could be implemented like this.

>       // Handbook of Mathematical Functions
>       // M. Abramowitz and I.A. Stegun, Ed.

>       float asin(float x) {
>         float negate = float(x < 0);
>         x = abs(x);
>         float ret = -0.0187293;
>         ret *= x;
>         ret += 0.0742610;
>         ret *= x;
>         ret -= 0.2121144;
>         ret *= x;
>         ret += 1.5707288;
>         ret = 3.14159265358979*0.5 - sqrt(1.0 - x)*ret;
>         return ret - 2 * negate * ret;
>       }

> # PROFILE SUPPORT

> asin is supported in all profiles.

> Support in the fp20 is limited.

> # SEE ALSO

> abs, acos, sin, sqrt