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

Table of contents


NAME

eljndf, eljnd, eljndl, eljndw, eljndq, eljndll, eljnddf, eljndd, eljnddl, eljnddll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljndf (float u, float k);

extern double eljnd (double u, double k);

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

extern __float80 eljndw (__float80 u, __float80 k);

extern __float128 eljndq (__float128 u, __float128 k);

extern long_long_double eljndll (long_long_double u, long_long_double k);

extern decimal_float eljnddf (decimal_float u, decimal_float k);

extern decimal_double eljndd (decimal_double u, decimal_double k);

extern decimal_long_double eljnddl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljnddll (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
eljnd(u, k) = 1 / dn(u, k) = 1 / eljdn(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 nd(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), 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).