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

Table of contents


NAME

eljcnf, eljcn, eljcnl, eljcnw, eljcnq, eljcnll, eljcndf, eljcnd, eljcndl, eljcndll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljcnf (float u, float k);

extern double eljcn (double u, double k);

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

extern __float80 eljcnw (__float80 u, __float80 k);

extern __float128 eljcnq (__float128 u, __float128 k);

extern long_long_double eljcnll (long_long_double u, long_long_double k);

extern decimal_float eljcndf (decimal_float u, decimal_float k);

extern decimal_double eljcnd (decimal_double u, decimal_double k);

extern decimal_long_double eljcndl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljcndll (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
eljcn(u, k) = cn(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 cn(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), eljcs(3CW), eljdc(3CW), eljdn(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).