%asn

Scilab Function
Last update : April 1993

%asn - elliptic integral

### Calling Sequence

  `[y]=%asn(x,m)`

### Parameters

- `x` : upper limit of integral (`x>0` ) (can be a vector)
- `m` : parameter of integral (`0<m<1` )
- `y` : value of the integral

### Description

Calculates the elliptic integral

If `x` is a vector, `y` is a vector of same dimension as `x` .

### Examples

    m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z);
    x2max=1/sqrt(m);
    x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10;
    x=[x1,x2,x3];
    y=%asn(x,m);
    rect=[0,-Ktilde,1.1*K,2*Ktilde];
    plot2d(real(y)',imag(y)',1,'011',' ',rect)
    //
    deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))');
    intg(0,0.9,f)-%asn(0.9,m)  //Works for real case only!

### Author

F. D.