ELQ1P 3CW "06 March 2010" "mathcw-1.00"

Table of contents


NAME

elq1pf, elq1p, elq1pl, elq1pw, elq1pq, elq1pll, elq1pdf, elq1pd, elq1pdl, elq1pdll - elliptic function nome from reduced modulus

SYNOPSIS

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

#include <mathcw.h>

extern float elq1pf (float km1);

extern double elq1p (double km1);

extern long double elq1pl (long double km1);

extern __float80 elq1pw (__float80 km1);

extern __float128 elq1pq (__float128 km1);

extern long_long_double elq1pll (long_long_double km1);

extern decimal_float elq1pdf (decimal_float km1);

extern decimal_double elq1pd (decimal_double km1);

extern decimal_long_double elq1pdl (decimal_long_double km1);

extern decimal_long_long_double elq1pdll (decimal_long_long_double km1);

NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.


DESCRIPTION

Compute the elliptic function nome q, a real value in [0,1), from the reduced modulus km1, a real value in [-2,0].

This function is preferred over elq(3CW) when the modulus is close to 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 elliptic function nome q.

ERRORS

If the argument is a NaN, return that argument. If the argument is out of range, set errno to EDOM and return a quiet NaN.

SEE ALSO

elk(3CW), elkm1(3CW), elq(3CW), elqc(3CW), elqc1p(3CW).