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

Table of contents


NAME

eljancf, eljanc, eljancl, eljancw, eljancq, eljancll, eljancdf, eljancd, eljancdl, eljancdll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljancf (float u, float k);

extern double eljanc (double u, double k);

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

extern __float80 eljancw (__float80 u, __float80 k);

extern __float128 eljancq (__float128 u, __float128 k);

extern long_long_double eljancll (long_long_double u, long_long_double k);

extern decimal_float eljancdf (decimal_float u, decimal_float k);

extern decimal_double eljancd (decimal_double u, decimal_double k);

extern decimal_long_double eljancdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljancdll (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
eljanc(v, k) = anc(v, k) = u,
where
eljnc(u,k) = nc(u,k) = v.

The magnitude of the argument v must be in [+1,Infinity), 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 anc(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), eljadn(3CW), eljads(3CW), eljag(3CW), eljam(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).