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

Table of contents


NAME

eljadnf, eljadn, eljadnl, eljadnw, eljadnq, eljadnll, eljadndf, eljadnd, eljadndl, eljadndll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljadnf (float u, float k);

extern double eljadn (double u, double k);

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

extern __float80 eljadnw (__float80 u, __float80 k);

extern __float128 eljadnq (__float128 u, __float128 k);

extern long_long_double eljadnll (long_long_double u, long_long_double k);

extern decimal_float eljadndf (decimal_float u, decimal_float k);

extern decimal_double eljadnd (decimal_double u, decimal_double k);

extern decimal_long_double eljadndl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljadndll (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
eljadn(v, k) = adn(v, k) = u,
where
eljdn(u,k) = dn(u,k) = v.

The argument v must be in [-1,+1], and 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 adn(v,k).

ERRORS

If either argument is a NaN, return that argument. If either argument 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), 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).