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use std::fmt::Debug;

pub trait State: Sized + Clone + Default + Debug + Subdividable {}

impl State for () {}
impl State for bool {}
impl State for i8 {}
impl State for i16 {}
impl State for i32 {}
impl State for i64 {}
impl State for u8 {}
impl State for u16 {}
impl State for u32 {}
impl State for u64 {}
impl State for f32 {}
impl State for f64 {}
impl State for isize {}
impl State for usize {}

pub trait Subdividable: Sized {
    fn subdivide(&self, subdivisions: usize) -> Self;
    fn merge(states: &[Self]) -> Self;
}

impl Subdividable for () {
    fn subdivide(&self, _: usize) -> Self {
        ()
    }
    fn merge(_: &[Self]) -> Self {
        ()
    }
}
impl Subdividable for bool {
    fn subdivide(&self, _: usize) -> Self {
        *self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().any(|v| *v)
    }
}
impl Subdividable for i8 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for i16 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for i32 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for i64 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for u8 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for u16 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for u32 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for u64 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for f32 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for f64 {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for isize {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}
impl Subdividable for usize {
    fn subdivide(&self, subdivisions: usize) -> Self {
        self / subdivisions as Self
    }
    fn merge(states: &[Self]) -> Self {
        states.iter().sum()
    }
}