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

Table of contents


NAME

eljasnf, eljasn, eljasnl, eljasnw, eljasnq, eljasnll, eljasndf, eljasnd, eljasndl, eljasndll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljasnf (float u, float k);

extern double eljasn (double u, double k);

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

extern __float80 eljasnw (__float80 u, __float80 k);

extern __float128 eljasnq (__float128 u, __float128 k);

extern long_long_double eljasnll (long_long_double u, long_long_double k);

extern decimal_float eljasndf (decimal_float u, decimal_float k);

extern decimal_double eljasnd (decimal_double u, decimal_double k);

extern decimal_long_double eljasndl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljasndll (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
eljasn(v, k) = asn(v, k) = u,
where
eljsn(u,k) = sn(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 asn(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), eljand(3CW), eljans(3CW), eljasc(3CW), eljasd(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).