cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ] #include <mathcw.h> extern float ellrdf (float x, float y, float z); extern double ellrd (double x, double y, double z); extern long double ellrdl (long double x, long double y, long double z); extern __float80 ellrdw (__float80 x, __float80 y, __float80 z); extern __float128 ellrdq (__float128 x, __float128 y, __float128 z); extern long_long_double ellrdll (long_long_double x, long_long_double y, long_long_double z); extern decimal_float ellrddf (decimal_float x, decimal_float y, decimal_float z); extern decimal_double ellrdd (decimal_double x, decimal_double y, decimal_double z); extern decimal_long_double ellrddl (decimal_long_double x, decimal_long_double y, decimal_long_double z); extern decimal_long_long_double ellrddll (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.ellrd(x, y, z) = R(3/2; 1/2, 1/2, 3/2; x, y, z) = (3/2) * integral(t=0:Infinity) (t + x)**(-1/2) * (t + y)**(-1/2) * (t + z)**(-3/2) dt = ellrf(x, y, z, z)
The normalization condition satisfied is
ellrd(x, x, x) = x**(-3/2).