Scilab 5.4.1
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%asn
elliptic integral
Calling Sequence
[y]=%asn(x,m)
Arguments
- 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!
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