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Scilab Help >> Special Functions > %sn

%sn

Jacobi's elliptic function (obsolete)

y = %sn(x, m)

Arguments

x

a point inside the fundamental rectangle defined by the elliptic integral; x is a vector of complex numbers

m

parameter of the elliptic integral (0<m<1)

y

result

Description %sn() is obsolete and will be removed from Scilab 6.1.x. Please use ellipj() instead.

Jacobi 's sn elliptic function with parameter m: the inverse of the elliptic integral for the parameter m.

The amplitude am is computed in fortran and the addition formulas for elliptic functions are applied

Examples

m=0.36;
K=%k(m);
P=4*K; //Real period
real_val=0:(P/50):P;
plot(real_val,real(%sn(real_val,m))) clf();
m=0.36;
KK=%k(1-m);
Ip=2*KK;
ima_val1=0:(Ip/50):KK-0.001;
ima_val2=(KK+0.05):(Ip/25):(Ip+KK);
z1=%sn(%i*ima_val1,m);
z2=%sn(%i*ima_val2,m);
plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']);
xgrid(3) • ellipj — Jacobi elliptic functions
• delip — complete and incomplete elliptic integral of first kind
• %k — Jacobi's complete elliptic integral of the first kind (vectorized)

History

 Version Description 6.1.0 %sn() is declared obsolete. ellipj() must be used instead.