easel.rs
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//
// This is an abstraction over a drawing environment.
// Future note: z-Buffer is described here:
// https://www.scratchapixel.com/lessons/3d-basic-rendering/rasterization-practical-implementation/perspective-correct-interpolation-vertex-attributes
//
// Georg Hopp <georg@steffers.org>
//
// Copyright © 2019 Georg Hopp
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
//
use std::cmp;
use std::fmt::{Formatter, Debug, Display, Result};
use std::ops::{Add, Sub, Div};
use std::sync::mpsc;
pub trait Easel {
//fn canvas(&mut self, width :u16, height :u16) -> Option<&dyn Canvas>;
}
pub trait Canvas<T> {
fn init_events(&self);
fn start_events(&self, tx :mpsc::Sender<i32>);
fn width(&self) -> u16;
fn height(&self) -> u16;
fn clear(&mut self);
fn draw(&mut self, c :&dyn Drawable<T>, ofs :Coordinate<T>, color :u32);
fn put_text(&self, ofs :Coordinate<T>, s :&str);
fn show(&self);
}
pub trait Drawable<T> {
fn plot(&self) -> Coordinates<T>;
}
pub trait Fillable<T> {
fn fill(&self) -> Coordinates<T>;
}
#[derive(Debug, Clone, Copy)]
pub struct Coordinate<T>(pub i32, pub i32, pub T);
#[derive(Debug, Clone)]
pub struct Coordinates<T>(pub Vec<Coordinate<T>>);
impl<T> Coordinate<T>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ Clone + Copy + From<i32> {
// Tail recursive Bresenham line with integer incremental error.
fn line(self, b :&Self) -> Vec<Self> {
fn inner<T>( v :&mut [Coordinate<T>]
, bx :i32, by :i32
, dx :i32, dy :i32
, sx :i32, sy :i32
, dz :T, err :i32)
where T: Add<Output = T> + Copy {
let Coordinate(x, y, z) = v[0];
if x != bx || y != by {
let (x, y, z, err) = match (2*err >= dy, 2*err <= dx) {
(true, false) => (x + sx, y, z + dz, err + dy ),
(false, true) => ( x, y + sy, z + dz, err + dx ),
_ => (x + sx, y + sy, z + dz, err + dx + dy ),
};
v[1] = Coordinate(x, y, z);
inner(&mut v[1..], bx, by, dx, dy, sx, sy, dz, err);
}
}
let Coordinate(ax, ay, az) = self;
let Coordinate(bx, by, bz) = *b;
let dx = (bx - ax).abs();
let sx :i32 = if ax < bx { 1 } else { -1 };
let dy = (by - ay).abs();
let sy :i32 = if ay < by { 1 } else { -1 };
let size = cmp::max(dx, dy);
let dz = (bz - az) / size.into();
let mut v :Vec<Self> = vec!( Coordinate(0, 0, 0.into())
; (size as usize) + 1);
v[0] = Coordinate(ax, ay, az);
inner(&mut v, bx, by, dx, -dy, sx, sy, dz, dx - dy);
v
}
}
impl<T> Display for Coordinate<T> {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
write!(f, "<{},{}>", self.0, self.1)
}
}
impl<T> Display for Coordinates<T> where T: Copy {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Coordinates(is) = self;
let c = match is[..] {
[] => String::from(""),
[a] => format!("{}", a),
_ => {
let mut a = format!("{}", is[0]);
for i in is[1..].iter() {
a = a + &format!(",{}", i);
}
a
}
};
write!(f, "Coordinates[{}]", c)
}
}
#[derive(Debug, Clone, Copy)]
pub struct Point<T>(pub Coordinate<T>);
impl<T> Drawable<T> for Point<T> where T: Copy {
fn plot(&self) -> Coordinates<T> {
let Point(c) = *self;
Coordinates(vec!(c))
}
}
impl<T> Display for Point<T> {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Point(p) = self;
write!(f, "Point[{}]", p)
}
}
#[derive(Debug, Clone, Copy)]
pub struct Line<T>(pub Coordinate<T>, pub Coordinate<T>);
impl<T> Drawable<T> for Line<T>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ Clone + Copy + From<i32> {
fn plot(&self) -> Coordinates<T> {
let Line(a, b) = *self;
Coordinates(a.line(&b))
}
}
impl<T> Display for Line<T> {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Line(a, b) = self;
write!(f, "Line[{},{}]", a, b)
}
}
// In 3D a rectangle is not as trivial as in 2D, it might be somehow rotate
// and thus we need to specify a Z offset for the other two corners.
// As I do not need rectangle at all I just comment out this code for now.
/*
#[derive(Debug, Clone, Copy)]
pub struct Rectangle<T>(pub Coordinate<T>, pub Coordinate<T>);
impl<T> Drawable<T> for Rectangle<T> {
fn plot(&self) -> Coordinates<T> {
let Rectangle(a, c) = *self;
let Coordinate(ax, ay, az) = a;
let Coordinate(cx, cy, cz) = c;
let b = Coordinate(cx, ay);
let d = Coordinate(ax, cy);
let mut r = a.line(&b);
r.append(&mut b.line(&c)[1..].to_vec());
r.append(&mut c.line(&d)[1..].to_vec());
let mut i = d.line(&a);
let l = i.len();
r.append(&mut i[1..l-1].to_vec());
Coordinates(r)
}
}
impl Display for Rectangle {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Rectangle(a, b) = self;
write!(f, "Rec[{},{}]", a, b)
}
}
*/
#[derive(Debug, Clone)]
pub struct Polyline<T>(pub Coordinates<T>);
impl<T> Drawable<T> for Polyline<T>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ Clone + Copy + From<i32> {
fn plot(&self) -> Coordinates<T> {
let Polyline(Coordinates(cs)) = self;
match cs[..] {
[] => Coordinates(Vec::<Coordinate<T>>::new()),
[a] => Coordinates(vec!(a)),
[a, b] => Coordinates(a.line(&b)),
_ => {
let (a, b) = (cs[0], cs[1]);
let mut r = a.line(&b);
let mut i = b;
for j in cs[2..].iter() {
r.append(&mut i.line(j)[1..].to_vec());
i = *j;
}
Coordinates(r)
},
}
}
}
impl<T> Display for Polyline<T> where T: Copy {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Polyline(a) = self;
write!(f, "PLine[{}]", a)
}
}
#[derive(Debug, Clone)]
pub struct Polygon<T>(pub Coordinates<T>);
impl<T> Drawable<T> for Polygon<T>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ Clone + Copy + From<i32> {
fn plot(&self) -> Coordinates<T> {
let Polygon(Coordinates(cs)) = self;
match cs[..] {
[] => Coordinates(Vec::<Coordinate<T>>::new()),
[a] => Coordinates(vec!(a)),
[a, b] => Coordinates(a.line(&b)),
_ => {
let (a, b) = (cs[0], cs[1]);
let mut r = a.line(&b);
let mut i = b;
for j in cs[2..].iter() {
r.append(&mut i.line(j)[1..].to_vec());
i = *j;
}
let mut j = a.line(&i);
let l = j.len();
if l > 1 {
r.append(&mut j[1..l-1].to_vec());
}
Coordinates(r)
},
}
}
}
impl<T> Fillable<T> for Polygon<T>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ Debug + Clone + Copy + From<i32> {
fn fill(&self) -> Coordinates<T> {
/* bresenham kind of thing to get the outer x values for each y of one
* edge of the polygon. */
fn walk_edge<T>( a :Coordinate<T>
, b :Coordinate<T> ) -> Vec<Coordinate<T>>
where T: Add<Output = T> + Sub<Output = T> + Div<Output = T>
+ From<i32> + Debug + Copy {
let Coordinate(mut x, mut y, mut z) = a;
let Coordinate( bx, by, bz) = b;
// next should be called with the negative of this… but dz depends
// on the positive this.
let dy = -(by - y).abs();
let dx = (bx - x).abs();
let sx = if x < bx { 1 } else { -1 };
let dz = (bz - z) / (-dy).into();
let mut err = dx + dy;
let mut v = Vec::<Coordinate<T>>::with_capacity((-dy) as usize);
while y != by {
match (2*err >= dy, 2*err <= dx) {
(true, false) => { x = x + sx
; err = err + dy },
(false, true) => { v.push(Coordinate(x, y, z))
; y = y + 1
; z = z + dz
; err = err + dx },
_ => { v.push(Coordinate(x, y, z))
; x = x + sx
; y = y + 1
; z = z + dz
; err = err + dx + dy },
}
}
v
}
fn next_y<T>( cs :&[Coordinate<T>]
, c :usize
, f :&dyn Fn(usize) -> usize) -> Option<usize> {
fn inner<T>( cs :&[Coordinate<T>]
, c :usize
, n :usize
, f :&dyn Fn(usize) -> usize) -> Option<usize> {
if c == n {
None
} else {
let Coordinate(_, cy, _) = cs[c];
let Coordinate(_, ny, _) = cs[n];
match ny.cmp(&cy) {
cmp::Ordering::Less => None,
cmp::Ordering::Equal => inner(cs, c, f(n), f),
cmp::Ordering::Greater => Some(n),
}
}
}
inner(cs, c, f(c), f)
}
let Polygon(Coordinates(cs)) = self;
let vert_min = cs.iter().enumerate()
. fold( None
, |acc, x| match acc {
None => Some(x),
Some(a) => {
let Coordinate(_, ay, _) = a.1;
let Coordinate(_, xy, _) = x.1;
if xy < ay {Some(x)} else {Some(a)} } } )
. unwrap().0;
println!("== vert_min: [{:?}] - {:?}", vert_min, cs[vert_min]);
let right = |x :usize| (x + 1) % cs.len();
let left = |x :usize| if x == 0 { cs.len() - 1 } else { x - 1 };
let mut r = (vert_min, next_y(cs, vert_min, &right));
let mut l = (vert_min, next_y(cs, vert_min, &left));
let mut l_edge :Vec<Coordinate<T>> = Vec::new();
let mut r_edge :Vec<Coordinate<T>> = Vec::new();
while l.1 != None || r.1 != None {
match l.1 {
None => {},
Some(a) => {
println!("== l: [{:?}] - {:?}", l, cs[a]);
l_edge.append(&mut walk_edge(cs[l.0], cs[a]));
l = (a, next_y(cs, a, &left));
},
}
match r.1 {
None => {},
Some(a) => {
println!("== r: [{:?}] - {:?}", r, cs[a]);
r_edge.append(&mut walk_edge(cs[r.0], cs[a]));
r = (a, next_y(cs, a, &right));
}
}
}
println!("== [{}] {:?}", l_edge.len(), l_edge);
println!("== [{}] {:?}", r_edge.len(), r_edge);
// TODO we always miss the last scanline…
// TODO check what happend with at least 2 vertices with same y and
// different x…
// loop though edges…
Coordinates(Vec::<Coordinate<T>>::new())
}
}
impl<T> Display for Polygon<T> where T: Copy {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Polygon(a) = self;
write!(f, "Poly[{}]", a)
}
}