cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ] #include <mathcw.h> extern float ellrff (float x, float y, float z); extern double ellrf (double x, double y, double z); extern long double ellrfl (long double x, long double y, long double z); extern __float80 ellrfw (__float80 x, __float80 y, __float80 z); extern __float128 ellrfq (__float128 x, __float128 y, __float128 z); extern long_long_double ellrfll (long_long_double x, long_long_double y, long_long_double z); extern decimal_float ellrfdf (decimal_float x, decimal_float y, decimal_float z); extern decimal_double ellrfd (decimal_double x, decimal_double y, decimal_double z); extern decimal_long_double ellrfdl (decimal_long_double x, decimal_long_double y, decimal_long_double z); extern decimal_long_long_double ellrfdll (decimal_long_long_double x, decimal_long_long_double y, decimal_long_long_double z);
NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.
where x >= 0, y > 0, and z > 0.ellrf(x, y, z) = R(1/2; 1/2, 1/2, 1/2; x, y, z) = (1/2) * integral(t=0:Infinity) (t + x)**(-1/2) * (t + y)**(-1/2) * (t + z)**(-1/2) dt
The normalization condition satisfied is
ellrf(x, x, x) = x**(-1/2).