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

Table of contents


NAME

eljandf, eljand, eljandl, eljandw, eljandq, eljandll, eljanddf, eljandd, eljanddl, eljanddll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljandf (float u, float k);

extern double eljand (double u, double k);

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

extern __float80 eljandw (__float80 u, __float80 k);

extern __float128 eljandq (__float128 u, __float128 k);

extern long_long_double eljandll (long_long_double u, long_long_double k);

extern decimal_float eljanddf (decimal_float u, decimal_float k);

extern decimal_double eljandd (decimal_double u, decimal_double k);

extern decimal_long_double eljanddl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljanddll (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
eljand(v, k) = and(v, k) = u,
where
eljnd(u,k) = nd(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 and(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), eljanc(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).