C++ Math tgamma()

The tgamma() function computes the gamma function of an argument passed to the function.

Suppose a number is x:

$C++ Math tgamma() function$
Syntax
float tgamma(float x); double tgamma(double x); long double tgamma(long double x); double tgamma(double x);
Parameter
x: It is a floating point value.
Return value
It returns the gamma function value of x.
Parameter Return value
x = ±0 ±∞
x = -ve nan
x = -∞ nan
x = +∞ +∞
x = nan nan
Example 1
Let's see the simple example when the value of x is zero.
#include <iostream> #include<math.h> using namespace std; int main() { float x= 0.0; cout<<"Value of x is : "<<x<<'\n'; cout<<"tgamma(x) : "<<tgamma(x); return 0;}
Output:
Value of x is : 0 tgamma(x) : inf
In the above example, the value of x is zero.Therefore, the function tgamma() returns +∞.
Example 2
Let's see the simple example when the value of x is negative.
#include <iostream> #include<math.h> using namespace std; int main() { int x= -6; cout<<"Value of x is : "<<x<<'\n'; cout<<"tgamma(x) : "<<tgamma(x); return 0; }
Output:
Value of x is : -6 tgamma(x) : nan
In the above example, the value of x is a negative integer. Therefore, the function tgamma() returns nan.
Example 3
Let's see the simple example when the value of x is -∞.
#include <iostream> #include<math.h> using namespace std; int main() { float x= -9.0/0.0; cout<<"Value of x is : "<<x<<'\n'; cout<<"tgamma(x): "<<tgamma(x); return 0; }
Output:
Value of x is : -inf tgamma(x): nan
In the above example, the value of x -∞. Therefore, the function tgamma() returns nan.
Example 4
Let's see the simple example when the value of is +∞.
#include <iostream> #include<math.h> using namespace std; int main() { float x= 7.8/0.0; cout<<"Value of x is : "<<x<<'\n'; cout<<"tgamma(x) : "<<tgamma(x); return 0; }
Output:
Value of x is : inf tgamma(x) : inf
In the above example, the value of x is +∞. Therefore, the function tgamma() returns +∞.
Example 5
Let's see the simple example when the value of x is nan.
#include <iostream> #include<math.h> using namespace std; int main() { float x= 0.0/0.0; cout<<"Value of x is : "<<x<<'\n'; cout<<"tgamma(x) : "<<tgamma(x); return 0; }
Output:
Value of x is : -nan tgamma(x) : -nan
In the above example, the value of x is nan. Therefore, the function tgamma() returns nan.

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