Reference

<cmath> (math.h)

function
<cmath> <ctgmath>

tgamma

 double tgamma ( double x); float tgammaf ( float x);long double tgammal (long double x);
 double tgamma ( double x); float tgamma ( float x);long double tgamma (long double x); double tgamma (T x); // additional overloads for integral types
Compute gamma function
[画像:gamma function] Returns the gamma function of x.

Header <tgmath.h> provides a type-generic macro version of this function.
Additional overloads are provided in this header (<cmath> ) for the integral types: These overloads effectively cast x to a double before calculations (defined for T being any integral type ).

Parameters

x
Parameter for the gamma function.

Return Value

Gamma function of x.
If the magnitude of x is too large, an overflow range error occurs. If too small, an underflow range error may occur.
If x is zero or a negative integer for which the function is asymptotic, it may cause a domain error or a pole error (or none, depending on implementation).

If a domain error occurs:
- And math_errhandling has MATH_ERRNO set: the global variable errno is set to EDOM .
- And math_errhandling has MATH_ERREXCEPT set: FE_INVALID is raised.

If a range error occurs:
- And math_errhandling has MATH_ERRNO set: the global variable errno is set to ERANGE .
- And math_errhandling has MATH_ERREXCEPT set: either FE_OVERFLOW or FE_UNDERFLOW is raised.

If a pole error occurs:
- And math_errhandling has MATH_ERRNO set: the global variable errno is set to ERANGE .
- And math_errhandling has MATH_ERREXCEPT set: either FE_DIVBYZERO is raised.

Example

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/* tgamma example */
#include <stdio.h> /* printf */
#include <math.h> /* tgamma */
int main ()
{
 double param, result;
 param = 0.5;
 result = tgamma (param);
 printf ("tgamma(%f) = %f\n", param, result );
 return 0;
}

Output:

tgamma (0.500000) = 1.772454


See also

lgamma
Compute log-gamma function (function)
erf
Compute error function (function)
erfc
Compute complementary error function (function)

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