docs(math): added more documentation for bezier, matrix, noise, point, polynomial, quaternion and vector

This commit is contained in:
lisk77 2025-08-14 09:27:07 +02:00
parent 30c6327997
commit 5f97d3a881
8 changed files with 399 additions and 239 deletions

View file

@ -1,149 +1,161 @@
use std::ops::*;
use std::ops::Mul;
use crate::vector::v3;
use std::ops::Mul;
use std::ops::*;
/// Representation of a quaternion in scalar/vector form
#[derive(Debug, Clone, Copy, PartialEq)]
pub struct Quat {
pub s: f32,
pub v: v3,
pub s: f32,
pub v: v3,
}
impl Quat {
pub const fn zero() -> Self {
Self {
s: 0.0,
v: v3 {
x: 0.0,
y: 0.0,
z: 0.0,
},
}
}
pub const fn new(s: f32, v: v3) -> Self {
Self { s, v }
}
/// The zero quaternion.
const ZERO: Self = Self {
s: 0.0,
v: v3 {
x: 0.0,
y: 0.0,
z: 0.0,
},
};
pub fn conjugate(&self) -> Self {
Self {
s: self.s,
v: self.v * (-1.0),
}
}
/// Creates a new quaternion from a scalar and a vector.
pub const fn new(s: f32, v: v3) -> Self {
Self { s, v }
}
pub fn normalize(&self) -> Self {
let inverse_squareroot = 1.0/(self.s*self.s + self.v.x*self.v.x + self.v.y*self.v.y + self.v.z*self.v.z).sqrt();
Self::new(self.s*inverse_squareroot, self.v*inverse_squareroot)
}
/// Returns the conjugate of the quaternion.
pub fn conjugate(&self) -> Self {
Self {
s: self.s,
v: self.v * (-1.0),
}
}
pub fn into_vec(&self) -> v3 {
v3 {
x: self.v.x,
y: self.v.y,
z: self.v.z,
}
}
/// Returns the normalized version of the quaternion.
pub fn normalize(&self) -> Self {
let inverse_squareroot = 1.0
/ (self.s * self.s + self.v.x * self.v.x + self.v.y * self.v.y + self.v.z * self.v.z)
.sqrt();
Self::new(self.s * inverse_squareroot, self.v * inverse_squareroot)
}
/// Converts the quaternion into a vector.
pub fn into_vec(&self) -> v3 {
v3 {
x: self.v.x,
y: self.v.y,
z: self.v.z,
}
}
}
impl Add<Quat> for Quat {
type Output = Quat;
type Output = Quat;
fn add(self, other: Quat) -> Quat {
Quat {
s: self.s + other.s,
v: self.v + other.v,
}
}
fn add(self, other: Quat) -> Quat {
Quat {
s: self.s + other.s,
v: self.v + other.v,
}
}
}
impl Sub<Quat> for Quat {
type Output = Quat;
type Output = Quat;
fn sub(self, other: Quat) -> Quat {
Quat {
s: self.s - other.s,
v: self.v - other.v,
}
}
fn sub(self, other: Quat) -> Quat {
Quat {
s: self.s - other.s,
v: self.v - other.v,
}
}
}
impl Neg for Quat {
type Output = Quat;
type Output = Quat;
fn neg(self) -> Quat {
Quat {
s: -self.s,
v: -self.v,
}
}
fn neg(self) -> Quat {
Quat {
s: -self.s,
v: -self.v,
}
}
}
impl Add<f32> for Quat {
type Output = Quat;
type Output = Quat;
fn add(self, scalar: f32) -> Quat {
Quat {
s: self.s + scalar,
v: self.v,
}
}
fn add(self, scalar: f32) -> Quat {
Quat {
s: self.s + scalar,
v: self.v,
}
}
}
impl Sub<f32> for Quat {
type Output = Quat;
type Output = Quat;
fn sub(self, scalar: f32) -> Quat {
Quat {
s: self.s - scalar,
v: self.v,
}
}
fn sub(self, scalar: f32) -> Quat {
Quat {
s: self.s - scalar,
v: self.v,
}
}
}
impl Mul<Quat> for f32 {
type Output = Quat;
type Output = Quat;
fn mul(self, quat: Quat) -> Quat {
Quat {
s: self*quat.s,
v: self*quat.v,
}
}
fn mul(self, quat: Quat) -> Quat {
Quat {
s: self * quat.s,
v: self * quat.v,
}
}
}
impl Mul<Quat> for Quat {
type Output = Quat;
type Output = Quat;
fn mul(self, other: Quat) -> Quat {
Quat {
s: self.s*other.s - self.v.x*other.v.x - self.v.y*other.v.y - self.v.z*other.v.z,
v: v3 {
x: self.s*other.v.x + self.v.x*other.s + self.v.y*other.v.z - self.v.z*other.v.y,
y: self.s*other.v.y + self.v.y*other.s + self.v.z*other.v.x - self.v.x*other.v.z,
z: self.s*other.v.z + self.v.z*other.s + self.v.x*other.v.y - self.v.y*other.v.x,
}
}
}
fn mul(self, other: Quat) -> Quat {
Quat {
s: self.s * other.s
- self.v.x * other.v.x
- self.v.y * other.v.y
- self.v.z * other.v.z,
v: v3 {
x: self.s * other.v.x + self.v.x * other.s + self.v.y * other.v.z
- self.v.z * other.v.y,
y: self.s * other.v.y + self.v.y * other.s + self.v.z * other.v.x
- self.v.x * other.v.z,
z: self.s * other.v.z + self.v.z * other.s + self.v.x * other.v.y
- self.v.y * other.v.x,
},
}
}
}
impl Mul<f32> for Quat {
type Output = Quat;
type Output = Quat;
fn mul(self, scalar: f32) -> Quat {
Quat {
s: self.s*scalar,
v: self.v*scalar,
}
}
fn mul(self, scalar: f32) -> Quat {
Quat {
s: self.s * scalar,
v: self.v * scalar,
}
}
}
impl Div<f32> for Quat {
type Output = Quat;
type Output = Quat;
fn div(self, scalar: f32) -> Quat {
Quat {
s: self.s/scalar,
v: self.v/scalar,
}
}
}
fn div(self, scalar: f32) -> Quat {
Quat {
s: self.s / scalar,
v: self.v / scalar,
}
}
}