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

Table of contents


NAME

eljacsf, eljacs, eljacsl, eljacsw, eljacsq, eljacsll, eljacsdf, eljacsd, eljacsdl, eljacsdll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljacsf (float u, float k);

extern double eljacs (double u, double k);

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

extern __float80 eljacsw (__float80 u, __float80 k);

extern __float128 eljacsq (__float128 u, __float128 k);

extern long_long_double eljacsll (long_long_double u, long_long_double k);

extern decimal_float eljacsdf (decimal_float u, decimal_float k);

extern decimal_double eljacsd (decimal_double u, decimal_double k);

extern decimal_long_double eljacsdl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljacsdll (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
eljacs(v, k) = acs(v, k) = u,
where
eljcs(u,k) = cs(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 acs(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), eljadc(3CW), eljadn(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).