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use std::ops::{Add, Div, Mul, Sub};

#[derive(Clone, Copy, Debug)]
pub struct Vec3 {
    pub x: f64,
    pub y: f64,
    pub z: f64,
}

impl Vec3 {
    pub fn zero() -> Self {
        Vec3 {
            x: 0.,
            y: 0.,
            z: 0.,
        }
    }

    pub fn new(x: f64, y: f64, z: f64) -> Self {
        Vec3 { x, y, z }
    }
    pub fn dot(self, other: Self) -> f64 {
        self.x * other.x + self.y * other.y + self.z * other.z
    }

    pub fn modulus(self) -> f64 {
        self.dot(self).sqrt()
    }

    pub fn distance(self, other: Self) -> f64 {
        ((self.x - other.x) * (self.x - other.x)
            + (self.y - other.y) * (self.y - other.y)
            + (self.z - other.z) * (self.z - other.z))
            .sqrt()
    }

    pub fn unit(self) -> Self {
        self / self.length()
    }

    pub fn length(self) -> f64 {
        (self.x * self.x + self.y * self.y + self.z * self.z).sqrt()
    }
}

impl Add for Vec3 {
    type Output = Self;
    fn add(self, other: Self) -> Self {
        Vec3 {
            x: self.x + other.x,
            y: self.y + other.y,
            z: self.z + other.z,
        }
    }
}
impl Sub for Vec3 {
    type Output = Self;
    fn sub(self, other: Self) -> Self {
        Vec3 {
            x: self.x - other.x,
            y: self.y - other.y,
            z: self.z - other.z,
        }
    }
}
impl Mul<f64> for Vec3 {
    type Output = Self;
    fn mul(self, other: f64) -> Self {
        Vec3 {
            x: self.x * other,
            y: self.y * other,
            z: self.z * other,
        }
    }
}
impl Div<f64> for Vec3 {
    type Output = Self;
    fn div(self, other: f64) -> Self {
        Vec3 {
            x: self.x / other,
            y: self.y / other,
            z: self.z / other,
        }
    }
}