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Original file line number | Diff line number | Diff line change |
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/** | ||
* @file | ||
* @brief n-th [Fibonacci | ||
* number](https://en.wikipedia.org/wiki/Fibonacci_sequence). | ||
* @brief Generate fibonacci sequence | ||
* | ||
* @details | ||
* Naive recursive implementation to calculate the n-th Fibonacci number. | ||
* 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 | ||
*/ | ||
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#include <cstdint> /// for std::uint64_t | ||
#include <cassert> /// for assert | ||
#include <iostream> /// for IO operations | ||
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/** | ||
* @namespace math | ||
* @brief Math algorithms | ||
*/ | ||
namespace math { | ||
#include <cassert> | ||
#include <cstdint> | ||
#include <iostream> | ||
/** | ||
* @namespace fibonacci | ||
* @brief Functions for Fibonacci sequence | ||
*/ | ||
namespace fibonacci { | ||
/** | ||
* @brief Function to compute the n-th Fibonacci number | ||
* @param n the index of the Fibonacci number | ||
* @returns n-th element of the Fibonacci's sequence | ||
* 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 (Base Case) | ||
// This will set the first 2 values of the sequence | ||
/* 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; | ||
} | ||
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// Add the preceding 2 values of the sequence to get next | ||
/* Add the last 2 values of the sequence to get next */ | ||
return fibonacci(n - 1) + fibonacci(n - 2); | ||
} | ||
} // namespace fibonacci | ||
} // namespace math | ||
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/** | ||
* @brief Self-test implementation | ||
* Function for testing the fibonacci() function with a few | ||
* test cases and assert statement. | ||
* @returns `void` | ||
*/ | ||
static void test() { | ||
assert(math::fibonacci::fibonacci(0) == 0); | ||
assert(math::fibonacci::fibonacci(1) == 1); | ||
assert(math::fibonacci::fibonacci(2) == 1); | ||
assert(math::fibonacci::fibonacci(3) == 2); | ||
assert(math::fibonacci::fibonacci(4) == 3); | ||
assert(math::fibonacci::fibonacci(15) == 610); | ||
assert(math::fibonacci::fibonacci(20) == 6765); | ||
std::cout << "All tests have passed successfully!\n"; | ||
uint64_t test_case_1 = fibonacci(0); | ||
assert(test_case_1 == 0); | ||
std::cout << "Passed Test 1!" << std::endl; | ||
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uint64_t test_case_2 = fibonacci(1); | ||
assert(test_case_2 == 1); | ||
std::cout << "Passed Test 2!" << std::endl; | ||
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uint64_t test_case_3 = fibonacci(2); | ||
assert(test_case_3 == 1); | ||
std::cout << "Passed Test 3!" << std::endl; | ||
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uint64_t test_case_4 = fibonacci(3); | ||
assert(test_case_4 == 2); | ||
std::cout << "Passed Test 4!" << std::endl; | ||
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uint64_t test_case_5 = fibonacci(4); | ||
assert(test_case_5 == 3); | ||
std::cout << "Passed Test 5!" << std::endl; | ||
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uint64_t test_case_6 = fibonacci(15); | ||
assert(test_case_6 == 610); | ||
std::cout << "Passed Test 6!" << std::endl << std::endl; | ||
} | ||
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/** | ||
* @brief Main function | ||
* @returns 0 on exit | ||
*/ | ||
/// Main function | ||
int main() { | ||
test(); // run self-test implementations | ||
return 0; | ||
test(); | ||
int n = 0; | ||
std::cin >> n; | ||
assert(n >= 0); | ||
std::cout << "F(" << n << ")= " << fibonacci(n) << std::endl; | ||
} |
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