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

Table of contents


NAME

eljncf, eljnc, eljncl, eljncw, eljncq, eljncll, eljncdf, eljncd, eljncdl, eljncdll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljncf (float u, float k);

extern double eljnc (double u, double k);

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

extern __float80 eljncw (__float80 u, __float80 k);

extern __float128 eljncq (__float128 u, __float128 k);

extern long_long_double eljncll (long_long_double u, long_long_double k);

extern decimal_float eljncdf (decimal_float u, decimal_float k);

extern decimal_double eljncd (decimal_double u, decimal_double k);

extern decimal_long_double eljncdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljncdll (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
eljnc(u, k) = 1 / cn(u, k) = 1 / eljcn(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 nc(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), eljnd(3CW), eljns(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).