cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ] #include <mathcw.h> extern float ellef (float x); extern double elle (double x); extern long double ellel (long double x); extern __float80 ellew (__float80 x); extern __float128 elleq (__float128 x); extern long_long_double ellell (long_long_double x); extern decimal_float elledf (decimal_float x); extern decimal_double elled (decimal_double x); extern decimal_long_double elledl (decimal_long_double x); extern decimal_long_long_double elledll (decimal_long_long_double x);
NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.
elle(x) = integral(t=0:pi/2) sqrt(1 - x**2 * sin(t)**2) dtwhere x is in [-1,+1].
Equivalents in other systems are:
Abramowitz & Stegun NBS Handbook #55: E(m) = elle(sqrt(m)) Mathematica: EllipticE[x] = elle(sqrt(x)) Maple: EllipticE(x) = elle(x)