factorial.cpp File Reference

Find the factorial of a given number. More...

#include <cassert>
#include <cstdint>
#include <iostream>

Include dependency graph for factorial.cpp:

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Namespaces
namespace	math
	for assert

Functions
uint64_t	math::factorial (uint8_t n)
	function to find factorial of given number
static void	tests ()
	Self-test implementations.
int	main ()
	Main function.

Detailed Description

Find the factorial of a given number.

Calculate factorial via recursion

\[n! = n\times(n-1)\times(n-2)\times(n-3)\times\ldots\times3\times2\times1 = n\times(n-1)!\]

for example: \(5! = 5\times4! = 5\times4\times3\times2\times1 = 120\)

Author

Akshay Gupta

Definition in file factorial.cpp.

Function Documentation

main()

int main

(

void

)

Main function.

Returns

0 on exit

Definition at line 57 of file factorial.cpp.

           {
    tests();  // run self-test implementations
    return 0;
}

tests()

static void tests ( )

static

Self-test implementations.

Returns

void

Definition at line 44 of file factorial.cpp.

                    {
    assert(math::factorial(1) == 1);
    assert(math::factorial(0) == 1);
    assert(math::factorial(5) == 120);
    assert(math::factorial(10) == 3628800);
    assert(math::factorial(20) == 2432902008176640000);
    std::cout << "All tests have passed successfully!\n";
}