!.TH ELJDN 3CW "07 February 2010" "mathcw-1.00" "NAME"

"NAME"

Table of contents


NAME

eljdnf, eljdn, eljdnl, eljdnw, eljdnq, eljdnll, eljdndf, eljdnd, eljdndl, eljdndll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljdnf (float u, float k);

extern double eljdn (double u, double k);

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

extern __float80 eljdnw (__float80 u, __float80 k);

extern __float128 eljdnq (__float128 u, __float128 k);

extern long_long_double eljdnll (long_long_double u, long_long_double k);

extern decimal_float eljdndf (decimal_float u, decimal_float k);

extern decimal_double eljdnd (decimal_double u, decimal_double k);

extern decimal_long_double eljdndl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljdndll (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
eljdn(u, k) = dn(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 dn(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), eljds(3CW), eljh(3CW), eljh4(3CW), eljnc(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).