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

Table of contents


NAME

eljsdf, eljsd, eljsdl, eljsdw, eljsdq, eljsdll, eljsddf, eljsdd, eljsddl, eljsddll - Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljsdf (float u, float k);

extern double eljsd (double u, double k);

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

extern __float80 eljsdw (__float80 u, __float80 k);

extern __float128 eljsdq (__float128 u, __float128 k);

extern long_long_double eljsdll (long_long_double u, long_long_double k);

extern decimal_float eljsddf (decimal_float u, decimal_float k);

extern decimal_double eljsdd (decimal_double u, decimal_double k);

extern decimal_long_double eljsddl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljsddll (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
eljsd(u, k) = sd(u, k) = sn(u, k) / dn(u, k) = eljsn(u, k) / 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.

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), eljsc(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).