sum_of_binomial_coefficient.cpp File Reference

Algorithm to find sum of binomial coefficients of a given positive integer. More...

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

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Namespaces
namespace	math
	for assert

Functions
uint64_t	math::binomialCoeffSum (uint64_t n)
static void	test ()
int	main ()
	Main function.

Detailed Description

Algorithm to find sum of binomial coefficients of a given positive integer.

Given a positive integer n, the task is to find the sum of binomial coefficient i.e nC0 + nC1 + nC2 + ... + nCn-1 + nCn By induction, we can prove that the sum is equal to 2^n

See also

more on https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients

Author

muskan0719

Definition in file sum_of_binomial_coefficient.cpp.

Function Documentation

main()

int main

(

void

)

Main function.

Returns

0 on exit

Definition at line 64 of file sum_of_binomial_coefficient.cpp.

           {
    test();  // execute the tests
    return 0;
}

test()

void test ( )

static

Function for testing binomialCoeffSum function. test cases and assert statement.

Returns

void

Definition at line 38 of file sum_of_binomial_coefficient.cpp.

                   {
    int test_case_1 = math::binomialCoeffSum(2);
    assert(test_case_1 == 4);
    std::cout << "Test_case_1 Passed!" << std::endl;
 
    int test_case_2 = math::binomialCoeffSum(3);
    assert(test_case_2 == 8);
    std::cout << "Test_case_2 Passed!" << std::endl;
 
    int test_case_3 = math::binomialCoeffSum(4);
    assert(test_case_3 == 16);
    std::cout << "Test_case_3 Passed!" << std::endl;
 
    int test_case_4 = math::binomialCoeffSum(5);
    assert(test_case_4 == 32);
    std::cout << "Test_case_4 Passed!" << std::endl;
 
    int test_case_5 = math::binomialCoeffSum(7);
    assert(test_case_5 == 128);
    std::cout << "Test_case_5 Passed!" << std::endl;
}