cc [ flags ] -I/usr/local/include file(s) -L/usr/local/lib -lmcw [ ... ] #include <mathcw.h> extern float iphicf (float x); extern double iphic (double x); extern long double iphicl (long double x); extern __float80 iphicw (__float80 x); extern __float128 iphicq (__float128 x); extern long_long_double iphicll (long_long_double x); extern decimal_float iphicdf (decimal_float x); extern decimal_double iphicd (decimal_double x); extern decimal_long_double iphicdl (decimal_long_double x); extern decimal_long_long_double iphicdll (decimal_long_long_double x);
NB: Functions with prototypes containing underscores in type names may be available only with certain extended compilers.
The complementary cumulative distribution function of the standard normal distribution is defined byiphic(phic(x)) = x.
phic(x) = (1/sqrt(2pi)) integral(t = x:infinity) exp((-t**2)/2) dt
= 1 - phi(x).
In mathematical text,
phi(x)
is written with an uppercase Greek phi:
\(*F(x).
phic(x)
is written in a similar notation with subscript
c.
The value of x in iphic(x) should be in the range [0, 1].