|
1 |
| -// Program to check whether a number is an armstrong number or not |
2 |
| -#include <cmath> |
3 |
| -#include <iostream> |
4 |
| -using std::cin; |
5 |
| -using std::cout; |
| 1 | +/** |
| 2 | + * @file |
| 3 | + * @brief Checks whether a number is an [Armstrong |
| 4 | + * Number](https://en.wikipedia.org/wiki/Narcissistic_number) or not. |
| 5 | + * |
| 6 | + * @details |
| 7 | + * An Armstrong number is a number that is the sum of its own digits each raised |
| 8 | + * to the power of the number of digits. For example: 153 is an Armstrong number |
| 9 | + * since 153 = 1^3 + 5^3 + 3^3. |
| 10 | + * |
| 11 | + * A few examples of valid armstrong numbers: |
| 12 | + * 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 153, 370, 371, 407, 1634, 8208, 9474, 54748, |
| 13 | + * 92727, 93084. |
| 14 | + * |
| 15 | + * Armstrong numbers are also known as Narcissistic Numbers, as stated in |
| 16 | + * Wikipedia. |
| 17 | + * |
| 18 | + * @author [Shivam Singhal](https://github.com/shivhek25) |
| 19 | + * @author [David Leal](https://github.com/Panquesito7) |
| 20 | + */ |
6 | 21 |
|
7 |
| -int main() { |
8 |
| - int n = 0, temp = 0, rem = 0, count = 0, sum = 0; |
9 |
| - cout << "Enter a number: "; |
10 |
| - cin >> n; |
| 22 | +#include <cassert> /// for assert |
| 23 | +#include <cmath> /// for std::pow |
| 24 | +#include <iostream> /// for IO operations |
| 25 | + |
| 26 | +/** |
| 27 | + * @namespace |
| 28 | + * @brief Dynamic Programming algorithms |
| 29 | + */ |
| 30 | +namespace dynamic_programming { |
11 | 31 |
|
12 |
| - temp = n; |
| 32 | +/** |
| 33 | + * @brief Checks if the given number is armstrong or not. |
| 34 | + * @param number the number to check |
| 35 | + * @returns false if the given number is NOT armstrong |
| 36 | + * @returns true if the given number IS armstrong |
| 37 | + */ |
| 38 | +template <typename T> |
| 39 | +bool is_armstrong(const T &number) { |
| 40 | + int count = 0, temp = number, result = 0, rem = 0; |
13 | 41 |
|
14 |
| - /* First Count the number of digits |
15 |
| - in the given number */ |
| 42 | + // Count the number of digits of the given number. |
| 43 | + // For example: 153 would be 3 digits. |
16 | 44 | while (temp != 0) {
|
17 | 45 | temp /= 10;
|
18 | 46 | count++;
|
19 | 47 | }
|
20 | 48 |
|
21 |
| - /* Calculation for checking of armstrongs number i.e. |
22 |
| - in an n-digit number sum of the digits is raised to a power of n |
23 |
| - is equal to the original number */ |
24 |
| - |
25 |
| - temp = n; |
| 49 | + // Calculation for checking of armstrongs number i.e. |
| 50 | + // in an n-digit number sum of the digits is raised to a power of `n` is |
| 51 | + // equal to the original number. |
| 52 | + temp = number; |
26 | 53 | while (temp != 0) {
|
27 | 54 | rem = temp % 10;
|
28 |
| - sum += static_cast<int>(pow(rem, count)); |
| 55 | + result += static_cast<T>(std::pow(rem, count)); |
29 | 56 | temp /= 10;
|
30 | 57 | }
|
31 | 58 |
|
32 |
| - if (sum == n) { |
33 |
| - cout << n << " is an armstrong number"; |
| 59 | + if (result == number) { |
| 60 | + return true; |
34 | 61 | } else {
|
35 |
| - cout << n << " is not an armstrong number"; |
| 62 | + return false; |
36 | 63 | }
|
| 64 | +} |
| 65 | +} // namespace dynamic_programming |
37 | 66 |
|
| 67 | +/** |
| 68 | + * @brief Self-test implementations |
| 69 | + * @returns void |
| 70 | + */ |
| 71 | +static void tests() { |
| 72 | + assert(dynamic_programming::is_armstrong(153) == true); |
| 73 | + assert(dynamic_programming::is_armstrong(1) == true); |
| 74 | + assert(dynamic_programming::is_armstrong(0) == true); |
| 75 | + assert(dynamic_programming::is_armstrong(370) == true); |
| 76 | + assert(dynamic_programming::is_armstrong(1634) == true); |
| 77 | + assert(dynamic_programming::is_armstrong(580) == false); |
| 78 | + assert(dynamic_programming::is_armstrong(15) == false); |
| 79 | + assert(dynamic_programming::is_armstrong(1024) == false); |
| 80 | + assert(dynamic_programming::is_armstrong(989) == false); |
| 81 | + assert(dynamic_programming::is_armstrong(103) == false); |
| 82 | + |
| 83 | + std::cout << "All tests have successfully passed!\n"; |
| 84 | +} |
| 85 | + |
| 86 | +/** |
| 87 | + * @brief Main function |
| 88 | + * @returns 0 on exit |
| 89 | + */ |
| 90 | +int main() { |
| 91 | + tests(); // run self-test implementations |
38 | 92 | return 0;
|
39 | 93 | }
|
0 commit comments