C++

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
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)