/** * @file * @brief Generate fibonacci sequence * * Calculate the the value on Fibonacci's sequence given an * integer as input. * \f[\text{fib}(n) = \text{fib}(n-1) + \text{fib}(n-2)\f] * * @see fibonacci_large.cpp, fibonacci_fast.cpp, string_fibonacci.cpp */ #include #include /** * Recursively compute sequences * @param n input * @returns n-th element of the Fbinacci's sequence */ uint64_t fibonacci(uint64_t n) { /* If the input is 0 or 1 just return the same This will set the first 2 values of the sequence */ if (n <= 1) { return n; } /* Add the last 2 values of the sequence to get next */ return fibonacci(n - 1) + fibonacci(n - 2); } /** * Function for testing the fibonacci() function with a few * test cases and assert statement. * @returns `void` */ static void test() { uint64_t test_case_1 = fibonacci(0); assert(test_case_1 == 0); std::cout << "Passed Test 1!" << std::endl; uint64_t test_case_2 = fibonacci(1); assert(test_case_2 == 1); std::cout << "Passed Test 2!" << std::endl; uint64_t test_case_3 = fibonacci(2); assert(test_case_3 == 1); std::cout << "Passed Test 3!" << std::endl; uint64_t test_case_4 = fibonacci(3); assert(test_case_4 == 2); std::cout << "Passed Test 4!" << std::endl; uint64_t test_case_5 = fibonacci(4); assert(test_case_5 == 3); std::cout << "Passed Test 5!" << std::endl; uint64_t test_case_6 = fibonacci(15); assert(test_case_6 == 610); std::cout << "Passed Test 6!" << std::endl << std::endl; } /// Main function int main() { test(); int n = 0; std::cin >> n; assert(n >= 0); std::cout << "F(" << n << ")= " << fibonacci(n) << std::endl; }