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authormetamuffin <metamuffin@disroot.org>2022-12-07 17:16:40 +0100
committermetamuffin <metamuffin@disroot.org>2022-12-07 17:16:40 +0100
commit85d20c4f4cf3656fbf7c27b6b8bbf9536e3ae04d (patch)
tree06497577894131a66f3f4874a9865da5b814fe17 /evc
parenta713143ef9c1187c37004043b1d3322d773f9ea0 (diff)
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refactor, matrix math
Diffstat (limited to 'evc')
-rwxr-xr-xevc/scripts/report2
-rw-r--r--evc/src/bin/encode.rs6
-rw-r--r--evc/src/block.rs8
-rw-r--r--evc/src/codec/encode.rs18
-rw-r--r--evc/src/debug.rs4
-rw-r--r--evc/src/frame.rs46
-rw-r--r--evc/src/header.rs4
-rw-r--r--evc/src/helpers/matrix.rs30
-rw-r--r--evc/src/helpers/mod.rs3
-rw-r--r--evc/src/helpers/threading.rs (renamed from evc/src/threading.rs)0
-rw-r--r--evc/src/helpers/vector.rs (renamed from evc/src/vec2.rs)46
-rw-r--r--evc/src/lib.rs4
-rw-r--r--evc/src/pixel.rs8
-rw-r--r--evc/src/refsampler.rs14
-rw-r--r--evc/src/ser.rs2
-rw-r--r--evc/src/view.rs32
16 files changed, 158 insertions, 69 deletions
diff --git a/evc/scripts/report b/evc/scripts/report
index fee3c54..c6f1085 100755
--- a/evc/scripts/report
+++ b/evc/scripts/report
@@ -3,7 +3,7 @@ cargo build --release
begin
echo "version: $argv[1]"
echo "commit: $(cat ../.git/refs/heads/master | head -c 10)"
- echo "encode: $(command time -f %U ./target/release/encode -W 1920 -H 1080 <samples/raw >samples/encoded 2>| tail -n 1)s"
+ echo "encode: $(command time -f %U ./target/release/encode -W (math 1920 / 2) -H (math 1080 / 2) <samples/raw >samples/encoded 2>| tail -n 1)s"
echo "decode: $(command time -f %U ./target/release/decode <samples/encoded >samples/decoded 2>| tail -n 1)s"
echo "size: $(du -h samples/encoded | cut -f 1)"
end | tee -a reports/(date)
diff --git a/evc/src/bin/encode.rs b/evc/src/bin/encode.rs
index 4857a80..611347f 100644
--- a/evc/src/bin/encode.rs
+++ b/evc/src/bin/encode.rs
@@ -7,8 +7,8 @@ use evc::{
},
frame::Frame,
header::Header,
+ helpers::vector::Vec2,
ser::Sink,
- vec2::Vec2,
};
use log::info;
use std::io::{BufReader, BufWriter};
@@ -36,9 +36,9 @@ fn main() -> anyhow::Result<()> {
let config = EncodeConfig {
translate: !args.no_translation,
- ref_thres: 2.0,
+ ref_thres: 50.0,
max_diff_size: 10_000,
- min_block_size: 4,
+ min_block_size: 8,
max_threads: 12,
};
diff --git a/evc/src/block.rs b/evc/src/block.rs
index 929793d..dd23207 100644
--- a/evc/src/block.rs
+++ b/evc/src/block.rs
@@ -3,14 +3,14 @@ use anyhow::bail;
use crate::{
pixel::Pixel,
ser::{Ser, Sink, Source},
- vec2::{Small, Vec2},
+ helpers::vector::{Small, Vec2},
};
#[derive(Clone, Debug)]
pub enum Block {
Literal(Vec<Pixel>),
Split(Box<[Block; 2]>),
- Reference { translation: Vec2 },
+ Reference { translation: Vec2<isize> },
}
impl Block {
@@ -33,7 +33,7 @@ impl Block {
Ok(())
}
- pub fn read(source: &mut impl std::io::Read, size: Vec2) -> anyhow::Result<Self> {
+ pub fn read(source: &mut impl std::io::Read, size: Vec2<isize>) -> anyhow::Result<Self> {
Ok(match source.get::<u8>()? {
0 => Block::Literal(source.get()?),
1 => Block::Split(Box::new({
@@ -54,7 +54,7 @@ impl Block {
[a, b]
})),
2 => Block::Reference {
- translation: source.get::<Small<Vec2>>()?.0,
+ translation: source.get::<Small<Vec2<isize>>>()?.0,
},
x => bail!("corrupt block type ({})", x),
})
diff --git a/evc/src/codec/encode.rs b/evc/src/codec/encode.rs
index dbefdb4..ce5d71b 100644
--- a/evc/src/codec/encode.rs
+++ b/evc/src/codec/encode.rs
@@ -1,5 +1,6 @@
use crate::{
- block::Block, frame::Frame, pixel::Pixel, threading::both_par, vec2::Vec2, view::View,
+ block::Block, frame::Frame, helpers::threading::both_par, helpers::vector::Vec2, pixel::Pixel,
+ view::View,
};
#[derive(Debug, Clone)]
@@ -17,15 +18,15 @@ pub fn encode_block(view: View<&Frame>, prev: View<&Frame>, config: &EncodeConfi
// let importance = importance(&view);
let (diff, translation) = if view.area() > config.max_diff_size {
- (f64::INFINITY, Vec2::ZERO)
+ (f64::INFINITY, Vec2::<isize>::ZERO)
} else if config.translate {
let mut best_diff = f64::INFINITY;
- let mut best_translation = Vec2::ZERO;
+ let mut best_translation = Vec2::<isize>::ZERO;
const OFFSETS: &[isize] = &[-64, -32, -16, -8, -4, -2, -1, 0, 1, 2, 4, 8, 16, 32, 64];
for x in OFFSETS {
for y in OFFSETS {
let translation = Vec2 { x: *x, y: *y };
- let diff = View::diff(&view, &prev.offset(translation)) / view.area() as f64;
+ let diff = View::diff(&view, &prev.offset(translation)); // / view.area() as f64;
if diff < best_diff {
best_translation = translation;
best_diff = diff;
@@ -34,7 +35,10 @@ pub fn encode_block(view: View<&Frame>, prev: View<&Frame>, config: &EncodeConfi
}
(best_diff, best_translation)
} else {
- (View::diff(&view, &prev) / view.area() as f64, Vec2::ZERO)
+ (
+ View::diff(&view, &prev) / view.area() as f64,
+ Vec2::<isize>::ZERO,
+ )
};
// config.importance_k)
// / (config.importance_k + importance * config.importance_scale)
@@ -76,10 +80,10 @@ pub fn importance(view: &View<&Frame>) -> f64 {
for y in 0..view.size.y {
let p = Vec2 { x, y };
if x > 0 {
- acc += Pixel::distance(view[p], view[p + Vec2::LEFT]);
+ acc += Pixel::distance(view[p], view[p + Vec2::<isize>::LEFT]);
}
if y > 0 {
- acc += Pixel::distance(view[p], view[p + Vec2::UP]);
+ acc += Pixel::distance(view[p], view[p + Vec2::<isize>::UP]);
}
}
}
diff --git a/evc/src/debug.rs b/evc/src/debug.rs
index 0858fe4..d2102ba 100644
--- a/evc/src/debug.rs
+++ b/evc/src/debug.rs
@@ -1,4 +1,4 @@
-use crate::{frame::Frame, pixel::Pixel, vec2::Vec2, view::View};
+use crate::{frame::Frame, helpers::vector::Vec2, pixel::Pixel, view::View};
impl View<&mut Frame> {
pub fn draw_box(&mut self, color: Pixel) {
@@ -16,7 +16,7 @@ impl View<&mut Frame> {
}
impl Frame {
- pub fn draw_line(&mut self, start: Vec2, end: Vec2, color: Pixel) {
+ pub fn draw_line(&mut self, start: Vec2<isize>, end: Vec2<isize>, color: Pixel) {
let (sx, sy) = (start.x as f32, start.y as f32);
let (ex, ey) = (end.x as f32, end.y as f32);
let (dx, dy) = (ex - sx, ey - sy);
diff --git a/evc/src/frame.rs b/evc/src/frame.rs
index 3c40a3d..024b240 100644
--- a/evc/src/frame.rs
+++ b/evc/src/frame.rs
@@ -1,25 +1,25 @@
use crate::{
+ helpers::vector::Vec2,
pixel::Pixel,
ser::{Sink, Source},
- vec2::Vec2,
view::View,
};
use std::ops::{Index, IndexMut};
#[derive(Debug, Clone)]
pub struct Frame {
- pub size: Vec2,
+ pub size: Vec2<isize>,
buffer: Vec<Pixel>,
}
impl Frame {
- pub fn new(size: Vec2) -> Self {
+ pub fn new(size: Vec2<isize>) -> Self {
Self {
size,
buffer: (0..size.x * size.y).map(|_| Pixel::default()).collect(),
}
}
- pub fn read(source: &mut impl Source, size: Vec2) -> anyhow::Result<Self> {
+ pub fn read(source: &mut impl Source, size: Vec2<isize>) -> anyhow::Result<Self> {
let mut frame = Frame::new(size);
for y in 0..size.y {
for x in 0..size.x {
@@ -38,28 +38,32 @@ impl Frame {
Ok(())
}
pub fn view<'a>(&'a self) -> View<&'a Frame> {
- View::new(self, Vec2::ZERO, self.size)
+ View::new(self, Vec2::<isize>::ZERO, self.size)
}
pub fn view_mut<'a>(&'a mut self) -> View<&'a mut Frame> {
- View::new(self, Vec2::ZERO, self.size)
+ View::new(self, Vec2::<isize>::ZERO, self.size)
}
- pub fn view_area<'a>(&'a self, offset: Vec2, size: Vec2) -> View<&'a Frame> {
+ pub fn view_area<'a>(&'a self, offset: Vec2<isize>, size: Vec2<isize>) -> View<&'a Frame> {
View::new(self, offset, size)
}
- pub fn view_area_mut<'a>(&'a mut self, offset: Vec2, size: Vec2) -> View<&'a mut Frame> {
+ pub fn view_area_mut<'a>(
+ &'a mut self,
+ offset: Vec2<isize>,
+ size: Vec2<isize>,
+ ) -> View<&'a mut Frame> {
View::new(self, offset, size)
}
- pub fn set(&mut self, pos: Vec2, color: Pixel) {
+ pub fn set(&mut self, pos: Vec2<isize>, color: Pixel) {
if pos.x >= 0 && pos.y >= 0 && pos.x < self.size.x && pos.y < self.size.y {
self[pos] = color
}
}
}
-impl Index<Vec2> for Frame {
+impl Index<Vec2<isize>> for Frame {
type Output = Pixel;
#[inline]
- fn index(&self, Vec2 { x, y }: Vec2) -> &Self::Output {
+ fn index(&self, Vec2 { x, y }: Vec2<isize>) -> &Self::Output {
if x >= 0 && y >= 0 && x < self.size.x && y < self.size.y {
&self.buffer[(x + y * self.size.x) as usize]
} else {
@@ -67,13 +71,29 @@ impl Index<Vec2> for Frame {
}
}
}
-impl IndexMut<Vec2> for Frame {
+impl IndexMut<Vec2<isize>> for Frame {
#[inline]
- fn index_mut(&mut self, Vec2 { x, y }: Vec2) -> &mut Self::Output {
+ fn index_mut(&mut self, Vec2 { x, y }: Vec2<isize>) -> &mut Self::Output {
&mut self.buffer[(x + y * self.size.x) as usize]
}
}
+impl Frame {
+ #[inline]
+ pub fn sample(&self, p: Vec2<f32>) -> Pixel {
+ let fx = p.x.floor() as isize;
+ let fy = p.y.floor() as isize;
+ let cx = p.x.ceil() as isize;
+ let cy = p.y.ceil() as isize;
+
+ // TODO dont loose accuracy here
+ Pixel::average(
+ Pixel::average(self[Vec2 { x: fx, y: fy }], self[Vec2 { x: fx, y: cy }]),
+ Pixel::average(self[Vec2 { x: cx, y: fx }], self[Vec2 { x: cx, y: fy }]),
+ )
+ }
+}
+
impl Index<(isize, isize)> for Frame {
type Output = Pixel;
#[inline]
diff --git a/evc/src/header.rs b/evc/src/header.rs
index a613627..4c9118e 100644
--- a/evc/src/header.rs
+++ b/evc/src/header.rs
@@ -1,11 +1,11 @@
use crate::{
+ helpers::vector::Vec2,
ser::{Ser, Sink, Source},
- vec2::Vec2,
};
#[derive(Debug, Clone, PartialEq, Copy)]
pub struct Header {
- pub resolution: Vec2,
+ pub resolution: Vec2<isize>,
pub frame_count: usize,
}
diff --git a/evc/src/helpers/matrix.rs b/evc/src/helpers/matrix.rs
new file mode 100644
index 0000000..74d2ae4
--- /dev/null
+++ b/evc/src/helpers/matrix.rs
@@ -0,0 +1,30 @@
+use crate::helpers::vector::Vec2;
+
+pub struct Mat2<T> {
+ a: T,
+ b: T,
+ c: T,
+ d: T,
+}
+
+impl<T: std::ops::Mul<Output = T> + std::ops::Add<Output = T> + Copy> Mat2<T> {
+ pub fn transform(&self, v: Vec2<T>) -> Vec2<T> {
+ Vec2 {
+ x: self.a * v.x + self.b * v.x,
+ y: self.c * v.y + self.d * v.y,
+ }
+ }
+}
+
+impl<T: std::ops::Mul<Output = T> + std::ops::Add<Output = T> + Copy> std::ops::Mul for Mat2<T> {
+ type Output = Mat2<T>;
+ fn mul(self, rhs: Mat2<T>) -> Mat2<T> {
+ let (x, y) = (self, rhs);
+ Mat2 {
+ a: x.a * y.a + x.b * y.c,
+ b: x.a * y.b + x.b * y.d,
+ c: x.c * y.a + x.d * y.c,
+ d: x.c * y.b + x.d * y.d,
+ }
+ }
+}
diff --git a/evc/src/helpers/mod.rs b/evc/src/helpers/mod.rs
new file mode 100644
index 0000000..c5eed9d
--- /dev/null
+++ b/evc/src/helpers/mod.rs
@@ -0,0 +1,3 @@
+pub mod vector;
+pub mod threading;
+pub mod matrix; \ No newline at end of file
diff --git a/evc/src/threading.rs b/evc/src/helpers/threading.rs
index 3291172..3291172 100644
--- a/evc/src/threading.rs
+++ b/evc/src/helpers/threading.rs
diff --git a/evc/src/vec2.rs b/evc/src/helpers/vector.rs
index 5713d02..9e7369e 100644
--- a/evc/src/vec2.rs
+++ b/evc/src/helpers/vector.rs
@@ -1,15 +1,24 @@
use crate::ser::{Ser, Sink, Source};
#[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord)]
-pub struct Vec2 {
- pub x: isize,
- pub y: isize,
+pub struct Vec2<T> {
+ pub x: T,
+ pub y: T,
}
-impl Vec2 {
- pub const ZERO: Vec2 = Vec2 { x: 0, y: 0 };
- pub const UP: Vec2 = Vec2 { x: 0, y: -1 };
- pub const LEFT: Vec2 = Vec2 { x: -1, y: 0 };
- pub fn downscale(&self, f: isize) -> Self {
+
+impl Vec2<isize> {
+ pub const ZERO: Vec2<isize> = Vec2 { x: 0, y: 0 };
+ pub const UP: Vec2<isize> = Vec2 { x: 0, y: -1 };
+ pub const LEFT: Vec2<isize> = Vec2 { x: -1, y: 0 };
+}
+impl Vec2<f32> {
+ pub const ZERO: Vec2<f32> = Vec2 { x: 0.0, y: 0.0 };
+ pub const UP: Vec2<f32> = Vec2 { x: 0.0, y: -1.0 };
+ pub const LEFT: Vec2<f32> = Vec2 { x: -1.0, y: 0.0 };
+}
+
+impl<T: std::ops::Div<Output = T> + Copy> Vec2<T> {
+ pub fn downscale(&self, f: T) -> Self {
Self {
x: self.x / f,
y: self.y / f,
@@ -17,7 +26,7 @@ impl Vec2 {
}
}
-impl Ser for Vec2 {
+impl Ser for Vec2<isize> {
fn write(&self, sink: &mut impl std::io::Write) -> anyhow::Result<()> {
sink.put((self.x, self.y))
}
@@ -29,7 +38,7 @@ impl Ser for Vec2 {
}
pub struct Small<T>(pub T);
-impl Ser for Small<Vec2> {
+impl Ser for Small<Vec2<isize>> {
fn write(&self, sink: &mut impl std::io::Write) -> anyhow::Result<()> {
sink.put((self.0.x as i8, self.0.y as i8))
}
@@ -43,8 +52,8 @@ impl Ser for Small<Vec2> {
}
}
-impl std::ops::Add for Vec2 {
- type Output = Vec2;
+impl<T: std::ops::Add> std::ops::Add for Vec2<T> {
+ type Output = Vec2<T::Output>;
#[inline]
fn add(self, rhs: Self) -> Self::Output {
Vec2 {
@@ -53,8 +62,8 @@ impl std::ops::Add for Vec2 {
}
}
}
-impl std::ops::Sub for Vec2 {
- type Output = Vec2;
+impl<T: std::ops::Sub> std::ops::Sub for Vec2<T> {
+ type Output = Vec2<T::Output>;
#[inline]
fn sub(self, rhs: Self) -> Self::Output {
Vec2 {
@@ -63,8 +72,8 @@ impl std::ops::Sub for Vec2 {
}
}
}
-impl std::ops::Mul for Vec2 {
- type Output = Vec2;
+impl<T: std::ops::Mul> std::ops::Mul for Vec2<T> {
+ type Output = Vec2<T::Output>;
#[inline]
fn mul(self, rhs: Self) -> Self::Output {
Vec2 {
@@ -74,9 +83,10 @@ impl std::ops::Mul for Vec2 {
}
}
-impl From<(isize, isize)> for Vec2 {
+impl<T> From<(T, T)> for Vec2<T> {
#[inline]
- fn from((x, y): (isize, isize)) -> Self {
+ fn from((x, y): (T, T)) -> Self {
Vec2 { x, y }
}
}
+
diff --git a/evc/src/lib.rs b/evc/src/lib.rs
index e8eb51d..ffacf59 100644
--- a/evc/src/lib.rs
+++ b/evc/src/lib.rs
@@ -11,5 +11,5 @@ pub mod header;
pub mod pixel;
pub mod ser;
pub mod view;
-pub mod vec2;
-pub mod threading;
+pub mod refsampler;
+pub mod helpers;
diff --git a/evc/src/pixel.rs b/evc/src/pixel.rs
index 4fb6772..121cb95 100644
--- a/evc/src/pixel.rs
+++ b/evc/src/pixel.rs
@@ -29,6 +29,14 @@ impl Pixel {
);
SQRT[rd + gd + bd]
}
+ #[inline]
+ pub fn average(a: Pixel, b: Pixel) -> Pixel {
+ Pixel {
+ r: (a.r >> 2) + (b.r >> 2),
+ g: (a.g >> 2) + (b.g >> 2),
+ b: (a.b >> 2) + (b.b >> 2),
+ }
+ }
}
const SQRT: [usize; 256 * 3] = gen_sqrt_lookup();
diff --git a/evc/src/refsampler.rs b/evc/src/refsampler.rs
new file mode 100644
index 0000000..95e123b
--- /dev/null
+++ b/evc/src/refsampler.rs
@@ -0,0 +1,14 @@
+use crate::{helpers::{matrix::Mat2, vector::Vec2}, frame::Frame};
+
+pub struct Sampler {
+ translation: Vec2<f32>,
+ transform: Mat2<f32>,
+
+ value_scale: f32,
+}
+
+impl Sampler {
+ pub fn sample(&self, frame: &Frame, p: Vec2<f32>) {
+
+ }
+}
diff --git a/evc/src/ser.rs b/evc/src/ser.rs
index 98d6706..d05e42e 100644
--- a/evc/src/ser.rs
+++ b/evc/src/ser.rs
@@ -194,8 +194,8 @@ impl Ser for f64 {
mod test {
use super::{Ser, Sink};
use crate::header::Header;
+ use crate::helpers::vector::Vec2;
use crate::ser::Source;
- use crate::vec2::Vec2;
use std::fmt::Debug;
use std::io::Cursor;
diff --git a/evc/src/view.rs b/evc/src/view.rs
index 36cdf42..5596637 100644
--- a/evc/src/view.rs
+++ b/evc/src/view.rs
@@ -1,14 +1,14 @@
-use crate::{frame::Frame, pixel::Pixel, vec2::Vec2};
+use crate::{frame::Frame, helpers::vector::Vec2, pixel::Pixel};
use std::ops::{Index, IndexMut};
pub struct View<T> {
pub frame: T,
- pub offset: Vec2,
- pub size: Vec2,
+ pub offset: Vec2<isize>,
+ pub size: Vec2<isize>,
}
impl<T> View<T> {
- pub fn new(frame: T, offset: Vec2, size: Vec2) -> Self {
+ pub fn new(frame: T, offset: Vec2<isize>, size: Vec2<isize>) -> Self {
Self {
frame,
offset,
@@ -18,7 +18,7 @@ impl<T> View<T> {
pub fn area(&self) -> isize {
self.size.x * self.size.y
}
- pub fn center(&self) -> Vec2 {
+ pub fn center(&self) -> Vec2<isize> {
self.offset + self.size.downscale(2)
}
}
@@ -71,7 +71,7 @@ impl<T> View<&mut T> {
}
}
impl<T: Copy> View<T> {
- pub fn offset(&self, offset: Vec2) -> Self {
+ pub fn offset(&self, offset: Vec2<isize>) -> Self {
Self {
frame: self.frame,
offset: self.offset + offset,
@@ -124,7 +124,7 @@ impl<T: Copy> View<T> {
]
}
}
-impl<T: Index<Vec2, Output = Pixel>> View<&T> {
+impl<T: Index<Vec2<isize>, Output = Pixel>> View<&T> {
pub fn diff(va: &Self, vb: &Self) -> f64 {
assert_eq!(va.size, vb.size);
let mut acc = 0;
@@ -164,42 +164,42 @@ impl View<&mut Frame> {
}
}
-impl<T: Index<Vec2, Output = Pixel>> Index<Vec2> for View<&T> {
+impl<T: Index<Vec2<isize>, Output = Pixel>> Index<Vec2<isize>> for View<&T> {
type Output = Pixel;
#[inline]
- fn index(&self, p: Vec2) -> &Self::Output {
+ fn index(&self, p: Vec2<isize>) -> &Self::Output {
&self.frame[self.offset + p]
}
}
-impl<T: Index<Vec2, Output = Pixel>> Index<Vec2> for View<&mut T> {
+impl<T: Index<Vec2<isize>, Output = Pixel>> Index<Vec2<isize>> for View<&mut T> {
type Output = Pixel;
#[inline]
- fn index(&self, p: Vec2) -> &Self::Output {
+ fn index(&self, p: Vec2<isize>) -> &Self::Output {
&self.frame[self.offset + p]
}
}
-impl<T: IndexMut<Vec2, Output = Pixel>> IndexMut<Vec2> for View<&mut T> {
+impl<T: IndexMut<Vec2<isize>, Output = Pixel>> IndexMut<Vec2<isize>> for View<&mut T> {
#[inline]
- fn index_mut(&mut self, p: Vec2) -> &mut Self::Output {
+ fn index_mut(&mut self, p: Vec2<isize>) -> &mut Self::Output {
&mut self.frame[self.offset + p]
}
}
-impl<T: Index<Vec2, Output = Pixel>> Index<(isize, isize)> for View<&T> {
+impl<T: Index<Vec2<isize>, Output = Pixel>> Index<(isize, isize)> for View<&T> {
type Output = Pixel;
#[inline]
fn index(&self, (x, y): (isize, isize)) -> &Self::Output {
&self[Vec2 { x, y }]
}
}
-impl<T: Index<Vec2, Output = Pixel>> Index<(isize, isize)> for View<&mut T> {
+impl<T: Index<Vec2<isize>, Output = Pixel>> Index<(isize, isize)> for View<&mut T> {
type Output = Pixel;
#[inline]
fn index(&self, (x, y): (isize, isize)) -> &Self::Output {
&self[Vec2 { x, y }]
}
}
-impl<T: IndexMut<Vec2, Output = Pixel>> IndexMut<(isize, isize)> for View<&mut T> {
+impl<T: IndexMut<Vec2<isize>, Output = Pixel>> IndexMut<(isize, isize)> for View<&mut T> {
#[inline]
fn index_mut(&mut self, (x, y): (isize, isize)) -> &mut Self::Output {
&mut self[Vec2 { x, y }]