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<BLOCKQUOTE>
<H1><A NAME="NAME"><A NAME="1">NAME
</A></A></H1>
<P>
<B>asin</B> - returns arcsine of scalars and vectors.
</P>
<H1><A NAME="SYNOPSIS"><A NAME="2">SYNOPSIS
</A></A></H1>
<PRE> 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);
</PRE>
<H1><A NAME="PARAMETERS"><A NAME="3">PARAMETERS
</A></A></H1>
<DL>
<DT><STRONG>a
</STRONG></DT>
<DD>
<P>
Vector or scalar of which to determine the arcsine.
</P>
</DD></DL>
<H1><A NAME="DESCRIPTION"><A NAME="4">DESCRIPTION
</A></A></H1>
<P>
Returns the arcsine of <I>a</I> in the range [-pi/2,+pi/2], expecting <I>a</I>
to be in the range [-1,+1].
</P>
<P>
For vectors, the returned vector contains the arcsine of each
element of the input vector.
</P>
<H1><A NAME="REFERENCE_IMPLEMENTATION"><A NAME="5">REFERENCE IMPLEMENTATION
</A></A></H1>
<P>
<B>asin</B> for a <B>float</B> scalar could be implemented like this.
</P>
<PRE> // 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;
}
</PRE>
<H1><A NAME="PROFILE_SUPPORT"><A NAME="6">PROFILE SUPPORT
</A></A></H1>
<P>
<B>asin</B> is supported in all profiles.
</P>
<P>
Support in the <A HREF="fp20.html">fp20</A> is limited.
</P>
<H1><A NAME="SEE_ALSO"><A NAME="7">SEE ALSO
</A></A></H1>
<P>
<A HREF="abs.html"><I>abs</I></A>, <A HREF="acos.html"><I>acos</I></A>, <A HREF="sin.html"><I>sin</I></A>, <A HREF="sqrt.html"><I>sqrt</I></A>
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