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/// A trait that defines how a type is used by SerialGenerator.
pub trait Serial
where
    Self: Clone + Ord,
{
    /// The default initial and lowest possible value.
    const START: Self;

    /// Return the next sequential value. Return an equal value if it is at its
    /// maximum.
    fn next_increment(&self) -> Self;

    /// Return the previous sequential value. Return an equal value if it is at
    /// its minimum.
    fn prev_increment(&self) -> Self;

    /// Return the number of times this value can be incremented before reaching
    /// its maximum, using Self to represent the count.
    fn remaining_increments(&self) -> Self;

    /// Return whether the value is at its maximum value.
    fn is_max_value(&self) -> bool;
}

impl Serial for u8 {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}

impl Serial for u16 {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}

impl Serial for u32 {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}

impl Serial for u64 {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}

impl Serial for u128 {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}

impl Serial for usize {
    const START: Self = Self::MIN;

    fn next_increment(&self) -> Self {
        self.saturating_add(1)
    }

    fn prev_increment(&self) -> Self {
        self.saturating_sub(1)
    }

    fn remaining_increments(&self) -> Self {
        Self::MAX.saturating_sub(*self)
    }

    fn is_max_value(&self) -> bool {
        self.remaining_increments() > 0
    }
}