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

Table of contents


NAME

eljacdf, eljacd, eljacdl, eljacdw, eljacdq, eljacdll, eljacddf, eljacdd, eljacddl, eljacddll - inverse Jacobian elliptic function

SYNOPSIS

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

#include <mathcw.h>

extern float eljacdf (float u, float k);

extern double eljacd (double u, double k);

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

extern __float80 eljacdw (__float80 u, __float80 k);

extern __float128 eljacdq (__float128 u, __float128 k);

extern long_long_double eljacdll (long_long_double u, long_long_double k);

extern decimal_float eljacddf (decimal_float u, decimal_float k);

extern decimal_double eljacdd (decimal_double u, decimal_double k);

extern decimal_long_double eljacddl (decimal_long_double u, decimal_long_double k);

extern decimal_long_long_double eljacddll (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
eljacd(v, k) = acd(v, k) = u,
where
eljcd(u,k) = cd(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 acd(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), eljacn(3CW), eljacs(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).