use crate::traits::{required as math_traits, required::SliceExt, extra::F32Compat};
use std::convert::{AsRef, TryInto};
use std::ops::{Deref, DerefMut, Mul, MulAssign};
#[derive(thiserror::Error, Debug)]
pub enum MatrixError {
#[error("cannot invert the matrix")]
Invert,
}
#[repr(C)]
#[derive(PartialEq, Debug)]
pub struct Matrix4([f64; 16]);
const MATRIX_IDENTITY: [f64; 16] = [
1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0,
];
impl math_traits::Matrix4Ext<f64> for Matrix4 {
fn identity() -> Self {
Matrix4::identity()
}
fn reset_from_trs_origin(
&mut self,
translation: &[f64],
rotation: &[f64],
scale: &[f64],
origin: &[f64],
) {
let values = &mut self.0;
let x = rotation[0];
let y = rotation[1];
let z = rotation[2];
let w = rotation[3];
let x2 = x + x;
let y2 = y + y;
let z2 = z + z;
let xx = x * x2;
let xy = x * y2;
let xz = x * z2;
let yy = y * y2;
let yz = y * z2;
let zz = z * z2;
let wx = w * x2;
let wy = w * y2;
let wz = w * z2;
let sx = scale[0];
let sy = scale[1];
let sz = scale[2];
let ox = origin[0];
let oy = origin[1];
let oz = origin[2];
let out0 = (1.0 - (yy + zz)) * sx;
let out1 = (xy + wz) * sx;
let out2 = (xz - wy) * sx;
let out4 = (xy - wz) * sy;
let out5 = (1.0 - (xx + zz)) * sy;
let out6 = (yz + wx) * sy;
let out8 = (xz + wy) * sz;
let out9 = (yz - wx) * sz;
let out10 = (1.0 - (xx + yy)) * sz;
values[0] = out0;
values[1] = out1;
values[2] = out2;
values[3] = 0.0;
values[4] = out4;
values[5] = out5;
values[6] = out6;
values[7] = 0.0;
values[8] = out8;
values[9] = out9;
values[10] = out10;
values[11] = 0.0;
values[12] = translation[0] + ox - (out0 * ox + out4 * oy + out8 * oz);
values[13] = translation[1] + oy - (out1 * ox + out5 * oy + out9 * oz);
values[14] = translation[2] + oz - (out2 * ox + out6 * oy + out10 * oz);
values[15] = 1.0;
}
fn mul_assign(&mut self, other: &Self) {
*self *= other;
}
}
impl F32Compat for Matrix4 {
fn write_to_vf32(&self, target: &mut [f32]) {
let values = self.as_slice();
target[0] = values[0] as f32;
target[1] = values[1] as f32;
target[2] = values[2] as f32;
target[3] = values[3] as f32;
target[4] = values[4] as f32;
target[5] = values[5] as f32;
target[6] = values[6] as f32;
target[7] = values[7] as f32;
target[8] = values[8] as f32;
target[9] = values[9] as f32;
target[10] = values[10] as f32;
target[11] = values[11] as f32;
target[12] = values[12] as f32;
target[13] = values[13] as f32;
target[14] = values[14] as f32;
target[15] = values[15] as f32;
}
}
impl Matrix4 {
pub fn new(
a: f64,
b: f64,
c: f64,
d: f64,
e: f64,
f: f64,
g: f64,
h: f64,
i: f64,
j: f64,
k: f64,
l: f64,
m: f64,
n: f64,
o: f64,
p: f64,
) -> Self {
Self([a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p])
}
fn reset(&mut self) {
self.copy_from_slice(&MATRIX_IDENTITY);
}
}
impl From<&[f64]> for Matrix4 {
fn from(values: &[f64]) -> Self {
let data: [f64; 16] = values.try_into().unwrap();
Self(data)
}
}
impl Deref for Matrix4 {
type Target = [f64];
fn deref(&self) -> &Self::Target {
&self.0
}
}
impl DerefMut for Matrix4 {
fn deref_mut(&mut self) -> &mut Self::Target {
&mut self.0
}
}
impl SliceExt<f64> for Matrix4 {
fn as_slice(&self) -> &[f64] {
&self.0
}
fn as_slice_mut(&mut self) -> &mut [f64] {
&mut self.0
}
}
impl Matrix4 {
pub fn identity() -> Self {
MATRIX_IDENTITY.as_ref().into()
}
pub fn new_from_translation(translation: &[f64]) -> Self {
let mut m = Self::identity();
m.translate(translation);
m
}
pub fn reset_from_translation(&mut self, translation: &[f64]) {
self.reset();
self.translate(translation);
}
pub fn translate(&mut self, translation: &[f64]) {
let values = &mut self.0;
values[12] = translation[0];
values[13] = translation[1];
values[14] = translation[2];
}
pub fn new_from_rotation(rotation: &[f64]) -> Self {
let mut m = Self::identity();
m.rotate(rotation);
m
}
pub fn reset_from_rotation(&mut self, rotation: &[f64]) {
self.reset();
self.rotate(rotation);
}
pub fn rotate(&mut self, rotation: &[f64]) {
let values = &mut self.0;
let x = rotation[0];
let y = rotation[1];
let z = rotation[2];
let w = rotation[3];
let x2 = x + x;
let y2 = y + y;
let z2 = z + z;
let xx = x * x2;
let yx = y * x2;
let yy = y * y2;
let zx = z * x2;
let zy = z * y2;
let zz = z * z2;
let wx = w * x2;
let wy = w * y2;
let wz = w * z2;
values[0] = 1.0 - yy - zz;
values[1] = yx + wz;
values[2] = zx - wy;
values[4] = yx - wz;
values[5] = 1.0 - xx - zz;
values[6] = zy + wx;
values[8] = zx + wy;
values[9] = zy - wx;
values[10] = 1.0 - xx - yy;
}
pub fn new_from_scale(scale: &[f64]) -> Self {
let mut m = Self::identity();
m.scale(scale);
m
}
pub fn reset_from_scale(&mut self, scale: &[f64]) {
self.reset();
self.scale(scale);
}
pub fn scale(&mut self, scale: &[f64]) {
let values = &mut self.0;
values[0] = scale[0];
values[5] = scale[1];
values[10] = scale[2];
}
pub fn new_from_trs(translation: &[f64], rotation: &[f64], scale: &[f64]) -> Self {
let mut m = Self::identity();
m.set_trs(translation, rotation, scale);
m
}
pub fn new_from_trs_origin(
translation: &[f64],
rotation: &[f64],
scale: &[f64],
origin: &[f64],
) -> Self {
let mut m = Self::identity();
math_traits::Matrix4Ext::reset_from_trs_origin(&mut m, translation, rotation, scale, origin);
m
}
pub fn reset_from_trs(&mut self, translation: &[f64], rotation: &[f64], scale: &[f64]) {
self.reset();
self.set_trs(translation, rotation, scale);
}
pub fn set_trs(&mut self, translation: &[f64], rotation: &[f64], scale: &[f64]) {
let values = &mut self.0;
let x = rotation[0];
let y = rotation[1];
let z = rotation[2];
let w = rotation[3];
let x2 = x + x;
let y2 = y + y;
let z2 = z + z;
let xx = x * x2;
let xy = x * y2;
let xz = x * z2;
let yy = y * y2;
let yz = y * z2;
let zz = z * z2;
let wx = w * x2;
let wy = w * y2;
let wz = w * z2;
let sx = scale[0];
let sy = scale[1];
let sz = scale[2];
values[0] = (1.0 - (yy + zz)) * sx;
values[1] = (xy + wz) * sx;
values[2] = (xz - wy) * sx;
values[3] = 0.0;
values[4] = (xy - wz) * sy;
values[5] = (1.0 - (xx + zz)) * sy;
values[6] = (yz + wx) * sy;
values[7] = 0.0;
values[8] = (xz + wy) * sz;
values[9] = (yz - wx) * sz;
values[10] = (1.0 - (xx + yy)) * sz;
values[11] = 0.0;
values[12] = translation[0];
values[13] = translation[1];
values[14] = translation[2];
values[15] = 1.0;
}
pub fn invert_mut(&mut self) -> Result<(), MatrixError> {
let values = &mut self.0;
let a: &[f64] = values;
let a00 = a[0];
let a01 = a[1];
let a02 = a[2];
let a03 = a[3];
let a10 = a[4];
let a11 = a[5];
let a12 = a[6];
let a13 = a[7];
let a20 = a[8];
let a21 = a[9];
let a22 = a[10];
let a23 = a[11];
let a30 = a[12];
let a31 = a[13];
let a32 = a[14];
let a33 = a[15];
let b00 = a00 * a11 - a01 * a10;
let b01 = a00 * a12 - a02 * a10;
let b02 = a00 * a13 - a03 * a10;
let b03 = a01 * a12 - a02 * a11;
let b04 = a01 * a13 - a03 * a11;
let b05 = a02 * a13 - a03 * a12;
let b06 = a20 * a31 - a21 * a30;
let b07 = a20 * a32 - a22 * a30;
let b08 = a20 * a33 - a23 * a30;
let b09 = a21 * a32 - a22 * a31;
let b10 = a21 * a33 - a23 * a31;
let b11 = a22 * a33 - a23 * a32;
let mut det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
if det == 0.0 {
Err(MatrixError::Invert)
} else {
det = 1.0 / det;
values[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
values[1] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
values[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
values[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det;
values[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
values[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
values[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
values[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det;
values[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
values[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
values[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
values[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det;
values[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det;
values[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det;
values[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det;
values[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det;
Ok(())
}
}
pub fn invert(&self) -> Result<Self, MatrixError> {
let mut clone = self.clone();
clone.invert_mut()?;
Ok(clone)
}
}
impl Clone for Matrix4 {
fn clone(&self) -> Self {
self.as_slice().into()
}
}
impl AsRef<Matrix4> for Matrix4 {
fn as_ref(&self) -> &Self {
self
}
}
impl<T: AsRef<Matrix4>> Mul<T> for Matrix4 {
type Output = Matrix4;
fn mul(self, rhs: T) -> Self::Output {
let mut clone = self;
clone *= rhs.as_ref();
clone
}
}
impl<T: AsRef<Matrix4>> Mul<T> for &Matrix4 {
type Output = Matrix4;
fn mul(self, rhs: T) -> Self::Output {
let mut clone = self.clone();
clone *= rhs.as_ref();
clone
}
}
impl<T: AsRef<Matrix4>> MulAssign<T> for Matrix4 {
fn mul_assign(&mut self, other: T) {
let values = &mut self.0;
let a: &[f64] = values;
let b: &[f64] = other.as_ref().as_slice();
let a00 = a[0];
let a01 = a[1];
let a02 = a[2];
let a03 = a[3];
let a10 = a[4];
let a11 = a[5];
let a12 = a[6];
let a13 = a[7];
let a20 = a[8];
let a21 = a[9];
let a22 = a[10];
let a23 = a[11];
let a30 = a[12];
let a31 = a[13];
let a32 = a[14];
let a33 = a[15];
let mut b0 = b[0];
let mut b1 = b[1];
let mut b2 = b[2];
let mut b3 = b[3];
values[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
values[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
values[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
values[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[4];
b1 = b[5];
b2 = b[6];
b3 = b[7];
values[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
values[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
values[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
values[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[8];
b1 = b[9];
b2 = b[10];
b3 = b[11];
values[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
values[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
values[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
values[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
b0 = b[12];
b1 = b[13];
b2 = b[14];
b3 = b[15];
values[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;
values[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;
values[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;
values[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;
}
}