ELJADS 3CW "14 February 2010" "mathcw-1.00"

Table of contents


NAME

eljadsf, eljads, eljadsl, eljadsw, eljadsq, eljadsll, eljadsdf, eljadsd, eljadsdl, eljadsdll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljadsf (float u, float k);

extern double eljads (double u, double k);

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

extern __float80 eljadsw (__float80 u, __float80 k);

extern __float128 eljadsq (__float128 u, __float128 k);

extern long_long_double eljadsll (long_long_double u, long_long_double k);

extern decimal_float eljadsdf (decimal_float u, decimal_float k);

extern decimal_double eljadsd (decimal_double u, decimal_double k);

extern decimal_long_double eljadsdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljadsdll (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 inverse Jacobian elliptic function
eljads(v, k) = ads(v, k) = u,
where
eljds(u,k) = ds(u,k) = v.

The argument v is unrestricted, but the argument k (the modulus) is required to be in [-1,+1].

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 inverse Jacobian elliptic function ads(v,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), eljaam(3CW), eljacd(3CW), eljacn(3CW), eljacs(3CW), eljadc(3CW), eljadn(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).