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//! Implements 3d vectors
//!
//! Also add more 3d math things needed for shading and 3d calculations.
use crate::{Float, Number, NEAR_ZERO};
use std::ops::{Mul, Sub, Add, DivAssign, Neg, AddAssign};
use std::fmt;
#[derive(Clone, Copy)]
pub struct Vector3<T: Number> {
pub x: T,
pub y: T,
pub z: T,
}
pub type Vector3f = Vector3<Float>;
impl<T: Number> Vector3<T> {
pub fn new(initial: T) -> Vector3<T> {
Vector3 {
x: initial,
y: initial,
z: initial,
}
}
pub fn new_xyz(x: T, y: T, z: T) -> Vector3<T> {
Vector3 { x, y, z}
}
}
impl<T: Number> Sub for Vector3<T> {
type Output = Self;
fn sub(self, op: Self) -> Self::Output {
Self::new_xyz(
self.x - op.x,
self.y - op.y,
self.z - op.z,
)
}
}
impl<T: Number> Add for Vector3<T> {
type Output = Self;
fn add(self, op: Self) -> Self::Output {
Self::new_xyz(
self.x + op.x,
self.y + op.y,
self.z + op.z,
)
}
}
impl<T: Number> Add<T> for Vector3<T> {
type Output = Self;
fn add(self, op: T) -> Self::Output {
Self::new_xyz(
self.x + op,
self.y + op,
self.z + op,
)
}
}
impl<T: Number> Mul<T> for Vector3<T> {
type Output = Self;
fn mul(self, op: T) -> Self::Output {
Self::Output::new_xyz(
self.x * op,
self.y * op,
self.z * op,
)
}
}
impl<T: Number> Neg for Vector3<T> {
type Output = Self;
fn neg(self) -> Self::Output {
Self::Output::new_xyz(
-self.x,
-self.y,
-self.z,
)
}
}
impl<T: Number> AddAssign<&Self> for Vector3<T> {
fn add_assign(&mut self, op: &Self) {
self.x += op.x;
self.y += op.y;
self.z += op.z;
}
}
impl<T: Number> DivAssign<T> for Vector3<T> {
fn div_assign(&mut self, op: T) {
self.x /= op;
self.y /= op;
self.z /= op;
}
}
impl<T: Number> fmt::Display for Vector3<T> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
f.write_fmt(format_args!("[{}, {}, {}]", self.x, self.y, self.z))
}
}
impl Vector3f {
pub const ZERO: Self = Vector3f {x: 0.0, y: 0.0, z: 0.0};
/// Calculates the length times itself
///
/// This is faster than using len * len as the square is ommited
pub fn len_squared(&self) -> Float {
self.x * self.x + self.y * self.y + self.z * self.z
}
pub fn length(&self) -> Float {
self.len_squared().sqrt()
}
pub fn dot(&self, op: &Self) -> Float {
self.x * op.x + self.y * op.y + self.z * op.z
}
/// Inplace normal instead of creating a new vector
///
/// # Example
///
/// ```
/// use rendering::core::Vector3f;
/// let mut v = Vector3f::new_xyz(10.0, 0.0, 0.0);
/// v.norm_in();
/// assert!(v.x == 1.0);
/// ```
pub fn norm_in(&mut self) {
// TODO Experiment with checking for normality with len_squared
let len = self.length();
if len == 0.0 {
*self = Self::new(0.0);
}
*self /= len;
}
pub fn norm(&self) -> Self {
let mut new = *self;
new.norm_in();
new
}
pub fn cross(&self, op: &Self) -> Self {
Self::new_xyz(
self.y * op.z - self.z * op.y,
self.z * op.x - self.x * op.z,
self.x * op.y - self.y * op.x,
)
}
/// Check if vector is close to [0, 0, 0]
///
/// This is based on the NEAR_ZERO constant
pub fn near_zero(&self) -> bool {
(self.x.abs() < NEAR_ZERO) &&
(self.y.abs() < NEAR_ZERO) &&
(self.z.abs() < NEAR_ZERO)
}
}
|
