ELJNS 3CW "07 February 2010" "mathcw-1.00"

Table of contents


NAME

eljnsf, eljns, eljnsl, eljnsw, eljnsq, eljnsll, eljnsdf, eljnsd, eljnsdl, eljnsdll - Jacobian elliptic function

SYNOPSIS

cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ]

#include <mathcw.h>

extern float eljnsf (float u, float k);

extern double eljns (double u, double k);

extern long double eljnsl (long double u, long double k);

extern __float80 eljnsw (__float80 u, __float80 k);

extern __float128 eljnsq (__float128 u, __float128 k);

extern long_long_double eljnsll (long_long_double u, long_long_double k);

extern decimal_float eljnsdf (decimal_float u, decimal_float k);

extern decimal_double eljnsd (decimal_double u, decimal_double k);

extern decimal_long_double eljnsdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljnsdll (decimal_long_long_double u, decimal_long_long_double k);

NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.


DESCRIPTION

Compute the Jacobian elliptic function defined by
eljns(u, k) = 1 / sn(u, k) = 1 / eljsn(u, k).

The argument u is unrestricted. The argument k (the modulus) is normally in [-1,+1]. If it is not, then a standard reciprocal modulus transformation is used to convert the function to another with second argument 1/k.

See M. Abramowitz & I. A. Stegun, Handbook of Mathematical Functions, Chapter 16, for definitions of the Jacobian elliptic, theta, and zeta functions.


RETURN VALUES

Return the Jacobian elliptic function ns(u,k).

ERRORS

If either argument is a NaN, return that argument. If k is out of range, set errno to EDOM and return a quiet NaN.

SEE ALSO

agm(3CW), eljacd(3CW), eljacn(3CW), eljacs(3CW), eljadc(3CW), eljadn(3CW), eljads(3CW), eljag(3CW), eljam(3CW), eljanc(3CW), eljand(3CW), eljans(3CW), eljasc(3CW), eljasd(3CW), eljasn(3CW), eljcd(3CW), eljcn(3CW), eljcs(3CW), eljdc(3CW), eljdn(3CW), eljds(3CW), eljh(3CW), eljh4(3CW), eljnc(3CW), eljnd(3CW), eljsc(3CW), eljsd(3CW), eljsn(3CW), eljt(3CW), eljt1(3CW), eljt2(3CW), eljt3(3CW), eljt4(3CW), eljta(3CW), eljtd1(3CW), eljtd2(3CW), eljtd3(3CW), eljtd4(3CW), eljtda(3CW), eljz(3CW), elk(3CW), elkm1(3CW), elq(3CW), elq1p(3CW), elqc(3CW), elqc1p(3CW).