A 3D math playground visualizing on a canvas trait which the user needs to implement e.g. using XCB or a HTML5 Canvas for drawing as WebAssembly application. (Both exists in separate projects.)
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//
// This is an abstraction over a drawing environment.
//
// 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, Display, Result};
use std::sync::mpsc;
pub trait Easel {
//fn canvas(&mut self, width :u16, height :u16) -> Option<&dyn Canvas>;
}
pub trait Canvas {
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, ofs :Coordinate, color :u32);
fn put_text(&self, ofs :Coordinate, s :&str);
fn show(&self);
}
pub trait Drawable {
fn plot(&self) -> Coordinates;
}
#[derive(Debug, Clone, Copy)]
pub struct Coordinate(pub i32, pub i32);
#[derive(Debug, Clone)]
pub struct Coordinates(pub Vec<Coordinate>);
impl Coordinate {
// Tail recursive Bresenham line with integer incremental error.
fn line(self, b :&Self) -> Vec<Self> {
fn inner( v :&mut [Coordinate]
, bx :i32, by :i32
, dx :i32, dy :i32
, sx :i32, sy :i32
, err :i32) {
let Coordinate(x, y) = v[0];
if x != bx || y != by {
let (x, y, err) = match (2*err >= dy, 2*err <= dx) {
(true, false) => (x + sx, y, err + dy),
(false, true) => ( x, y + sy, err + dx),
_ => (x + sx, y + sy, err + dx + dy ),
};
v[1] = Coordinate(x, y);
inner(&mut v[1..], bx, by, dx, dy, sx, sy, err);
}
}
let Coordinate(ax, ay) = self;
let Coordinate(bx, by) = *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 mut v :Vec<Self> = vec!( Coordinate(0, 0)
; cmp::max(dx, -dy) as usize + 1);
v[0] = Coordinate(ax, ay);
inner(&mut v, bx, by, dx, dy, sx, sy, dx + dy);
v
}
}
impl Display for Coordinate {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
write!(f, "<{},{}>", self.0, self.1)
}
}
impl Display for Coordinates {
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(pub Coordinate);
impl Drawable for Point{
fn plot(&self) -> Coordinates {
let Point(c) = *self;
Coordinates(vec!(c))
}
}
impl Display for Point {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Point(p) = self;
write!(f, "Point[{}]", p)
}
}
#[derive(Debug, Clone, Copy)]
pub struct Line(pub Coordinate, pub Coordinate);
impl Drawable for Line {
fn plot(&self) -> Coordinates {
let Line(a, b) = *self;
Coordinates(a.line(&b))
}
}
impl Display for Line {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Line(a, b) = self;
write!(f, "Line[{},{}]", a, b)
}
}
#[derive(Debug, Clone, Copy)]
pub struct Rectangle(pub Coordinate, pub Coordinate);
impl Drawable for Rectangle {
fn plot(&self) -> Coordinates {
let Rectangle(a, c) = *self;
let Coordinate(ax, ay) = a;
let Coordinate(cx, cy) = 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(pub Coordinates);
impl Drawable for Polyline {
fn plot(&self) -> Coordinates {
let Polyline(Coordinates(cs)) = self;
match cs[..] {
[] => Coordinates(Vec::<Coordinate>::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 Display for Polyline {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Polyline(a) = self;
write!(f, "PLine[{}]", a)
}
}
#[derive(Debug, Clone)]
pub struct Polygon(pub Coordinates);
impl Drawable for Polygon {
fn plot(&self) -> Coordinates {
let Polygon(Coordinates(cs)) = self;
match cs[..] {
[] => Coordinates(Vec::<Coordinate>::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 Display for Polygon {
fn fmt(&self, f: &mut Formatter<'_>) -> Result {
let Polygon(a) = self;
write!(f, "Poly[{}]", a)
}
}