pub trait Internal: Copy + Clone + PartialEq + std::ops::Sub<Output = Self> {
    const MIN: Self;
    const MAX: Self;

    fn clamp(self) -> Self;
    fn as_u8(self) -> u8;
    fn as_f32(self) -> f32;
    fn as_f64(self) -> f64;

    fn mul_u8(self, value: u8) -> u8;
    fn mul_u16(self, value: u16) -> u16;
    fn mul_u32(self, value: u32) -> u32;
    fn mul_f32(self, value: f32) -> f32;
    fn mul_f64(self, value: f64) -> f64;
}

impl Internal for u8 {
    const MIN: Self = u8::MIN;
    const MAX: Self = u8::MAX;

    fn clamp(self) -> Self {
        self
    }
    fn as_u8(self) -> u8 {
        self
    }
    fn as_f32(self) -> f32 {
        self as f32 / u8::MAX as f32
    }
    fn as_f64(self) -> f64 {
        self as f64 / u8::MAX as f64
    }

    fn mul_u8(self, value: u8) -> u8 {
        (value as u16 * self as u16 / 255u16) as u8
    }
    fn mul_u16(self, value: u16) -> u16 {
        (value as u32 * self as u32 / 255u32) as u16
    }
    fn mul_u32(self, value: u32) -> u32 {
        (value as u64 * self as u64 / 255u64) as u32
    }
    fn mul_f32(self, value: f32) -> f32 {
        value * self.as_f32()
    }
    fn mul_f64(self, value: f64) -> f64 {
        value * self.as_f64()
    }
}

macro_rules! impl_for_float {
    ($type:ty) => {
        impl Internal for $type {
            const MIN: Self = 0.0;
            const MAX: Self = 1.0;

            fn clamp(self) -> Self {
                <$type>::clamp(self, <Self as Internal>::MIN, <Self as Internal>::MAX)
            }
            fn as_u8(self) -> u8 {
                (self * 255.0) as u8
            }
            fn as_f32(self) -> f32 {
                self as f32
            }
            fn as_f64(self) -> f64 {
                self as f64
            }

            fn mul_u8(self, value: u8) -> u8 {
                (value as Self * self) as u8
            }
            fn mul_u16(self, value: u16) -> u16 {
                (value as Self * self).round() as u16
            }
            fn mul_u32(self, value: u32) -> u32 {
                (value as Self * self).round() as u32
            }
            fn mul_f32(self, value: f32) -> f32 {
                value * self.as_f32()
            }
            fn mul_f64(self, value: f64) -> f64 {
                value * self.as_f64()
            }
        }
    };
}

impl_for_float!(f32);
impl_for_float!(f64);