programmieren-in-rust/aufgaben/sheet4/sol1/good.rs
2016-11-21 22:08:41 +01:00

58 lines
1.4 KiB
Rust
Executable File

/// Prints all happy primes between 1 and 20.
fn main() {
for i in 1..21 {
if is_happy_prime(i) {
println!("{} is a happy prime!", i);
}
}
}
/// Determines whether the given number is a happy number AND a prime number.
fn is_happy_prime(n: u64) -> bool {
is_happy(n) && is_prime(n)
}
/// Determines whether the given, positive number is a [happy number][1].
///
/// [1]: https://en.wikipedia.org/wiki/Happy_number
fn is_happy(mut number: u64) -> bool {
// Either we end as "1" or in a cycle
while number > 1 {
number = {
// Here we compute the sum of squares of all digits. The trick is that
// the last digit is `number % 10` and that we can remove the last
// digit by dividing number by 10.
let mut sum = 0;
while number > 0 {
let digit = number % 10;
sum += digit * digit;
number /= 10;
}
sum
};
// We ended up in a cycle -> not happy
if number == 4 {
return false;
}
}
true
}
/// Determines whether the given, positive, non-zero number is a prime number.
fn is_prime(n: u64) -> bool {
if n == 1 {
return false;
}
for divisor in 2..n {
if n % divisor == 0 {
return false;
}
}
true
}