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

Table of contents


NAME

eljscf, eljsc, eljscl, eljscw, eljscq, eljscll, eljscdf, eljscd, eljscdl, eljscdll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljscf (float u, float k);

extern double eljsc (double u, double k);

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

extern __float80 eljscw (__float80 u, __float80 k);

extern __float128 eljscq (__float128 u, __float128 k);

extern long_long_double eljscll (long_long_double u, long_long_double k);

extern decimal_float eljscdf (decimal_float u, decimal_float k);

extern decimal_double eljscd (decimal_double u, decimal_double k);

extern decimal_long_double eljscdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljscdll (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
eljsc(u, k) = sc(u, k) = sn(u, k) / cn(u, k) = eljsn(u, k) / 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.

Using this function is almost always more efficient than making separate calls to the two Jacobian elliptic functions in its definition.

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 sc(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), eljns(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).