Add heuristic
This commit is contained in:
Arne Keller
parent
b0425e73ef
commit
0094cfa2d5
3
.gitignore
vendored
3
.gitignore
vendored
@ -1,4 +1,3 @@
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/target
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**/*.rs.bk
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tri*.svg
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world*.svg
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*.svg
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@ -8,47 +8,50 @@ use std::fs;
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use super::*;
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pub(crate) fn save_tri(filename: &str, tri: Triangle<f64>) {
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fs::write(
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filename,
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generate_svg(&[tri]),
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)
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.unwrap();
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pub(crate) fn save_tri(filename: &str, tri: Triangle<f32>) {
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fs::write(filename, generate_svg(&[tri])).unwrap();
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}
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pub(crate) fn save_world(filename: &str, world: &World) {
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fs::write(
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filename,
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generate_svg(&world.tris.iter().map(|(_idx, tri)| *tri).collect::<Vec<_>>()),
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)
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.unwrap();
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fs::write(
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filename,
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generate_svg(
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&world
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.tris
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.iter()
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.map(|(_idx, tri)| *tri)
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.collect::<Vec<_>>(),
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),
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)
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.unwrap();
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}
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pub(crate) fn generate_svg(tris: &[Triangle<f64>]) -> String {
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let mut document = Document::new()
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// view box at (x,y), (w,h)
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.set(
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"viewBox",
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(-30.0, -30.0, 60.0, 30.0),
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)
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.set("xmlns:xlink", "http://www.w3.org/1999/xlink");
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pub(crate) fn generate_svg(tris: &[Triangle<f32>]) -> String {
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let mut document = Document::new()
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// view box at (x,y), (w,h)
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.set("viewBox", (-30.0, -30.0, 60.0, 30.0))
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.set("xmlns:xlink", "http://www.w3.org/1999/xlink");
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for tri in tris {
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let data = Data::new()
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.move_to((tri.0.x, -tri.0.y))
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.line_to((tri.1.x, -tri.1.y))
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.line_to((tri.2.x, -tri.2.y))
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.close();
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document.append(Path::new()
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.set("fill", "none")
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.set("stroke", "black")
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.set("stroke-width", 0.4)
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.set("d", data));
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document.append(Circle::new()
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.set("fill", "red")
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.set("cx", tri.0.x)
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.set("cy", -tri.0.y)
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.set("r", 0.3));
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}
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for tri in tris {
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let data = Data::new()
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.move_to((tri.0.x, -tri.0.y))
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.line_to((tri.1.x, -tri.1.y))
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.line_to((tri.2.x, -tri.2.y))
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.close();
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document.append(
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Path::new()
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.set("fill", "none")
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.set("stroke", "black")
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.set("stroke-width", 0.4)
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.set("d", data),
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);
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document.append(
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Circle::new()
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.set("fill", "red")
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.set("cx", tri.0.x)
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.set("cy", -tri.0.y)
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.set("r", 0.3),
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);
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}
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document.to_string()
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document.to_string()
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}
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38
src/input.rs
38
src/input.rs
@ -3,28 +3,28 @@ use super::*;
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use std::io;
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use std::io::prelude::*;
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pub(crate) fn read_input() -> Vec<Triangle<f64>> {
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read_stdin()
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pub(crate) fn read_input() -> Vec<Triangle<f32>> {
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read_stdin()
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}
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fn read_stdin() -> Vec<Triangle<f64>> {
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let stdin = io::stdin();
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let stdin = stdin.lock();
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fn read_stdin() -> Vec<Triangle<f32>> {
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let stdin = io::stdin();
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let stdin = stdin.lock();
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let mut lines = stdin.lines().map(Result::unwrap);
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let tri_count = lines.next().unwrap().parse().unwrap();
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let mut tris = Vec::with_capacity(tri_count);
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let mut lines = stdin.lines().map(Result::unwrap);
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let tri_count = lines.next().unwrap().parse().unwrap();
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let mut tris = Vec::with_capacity(tri_count);
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for _ in 0..tri_count {
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let line = lines.next().unwrap();
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let n = line
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.trim()
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.split(' ')
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.skip(1)
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.map(|x| x.parse::<f64>().unwrap())
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.collect::<Vec<_>>();
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tris.push([[n[0],n[1]],[n[2],n[3]],[n[4],n[5]]].into());
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}
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for _ in 0..tri_count {
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let line = lines.next().unwrap();
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let n = line
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.trim()
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.split(' ')
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.skip(1)
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.map(|x| x.parse::<f32>().unwrap())
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.collect::<Vec<_>>();
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tris.push([[n[0], n[1]], [n[2], n[3]], [n[4], n[5]]].into());
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}
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tris
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tris
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}
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286
src/main.rs
286
src/main.rs
@ -1,20 +1,20 @@
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use geo::{Coordinate, Triangle};
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use geo::prelude::*;
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use geo::{Coordinate, Triangle};
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use std::cmp;
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use std::collections::BinaryHeap;
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use std::f64;
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use std::f64::consts::PI;
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use std::f32;
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use std::f32::consts::PI;
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mod display;
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mod input;
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#[derive(Debug, Clone)]
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struct World {
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/// Dreiecksgrundstücke
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tris: Vec<(usize, Triangle<f64>)>,
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/// Dreiecksgrundstücke
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tris: Vec<(usize, Triangle<f32>)>,
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/// Gesamtabstand
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width: f64,
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width: f32,
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}
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impl cmp::PartialEq for World {
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fn eq(&self, _other: &Self) -> bool {
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@ -23,14 +23,14 @@ impl cmp::PartialEq for World {
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}
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impl cmp::Eq for World {}
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impl cmp::Ord for World {
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fn cmp(&self, other: &Self) -> cmp::Ordering {
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self.width.partial_cmp(&other.width).unwrap().reverse()
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}
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fn cmp(&self, other: &Self) -> cmp::Ordering {
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self.width.partial_cmp(&other.width).unwrap().reverse()
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}
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}
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impl cmp::PartialOrd for World {
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fn partial_cmp(&self, other: &Self) -> Option<cmp::Ordering> {
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Some(self.cmp(other))
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}
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fn partial_cmp(&self, other: &Self) -> Option<cmp::Ordering> {
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Some(self.cmp(other))
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}
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}
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fn main() {
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@ -46,67 +46,97 @@ fn main() {
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idx /= 6;
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let prev_angle = angle_of(t, t.1);
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let mut added = false;
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let rotated = rotate(t, 0.5*PI - prev_angle);
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if rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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let rotated = rotate(t, 0.5 * PI - prev_angle);
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if rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(rotated, PI);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(t, -0.5*PI + prev_angle);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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let rotated = rotate(t, -0.5 * PI + prev_angle);
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(rotated, PI);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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}
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let prev_angle = angle_of(t, t.2);
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added = false;
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let rotated = rotate(t, 0.5*PI - prev_angle);
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if rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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let rotated = rotate(t, 0.5 * PI - prev_angle);
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if rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(rotated, PI);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(t, -0.5*PI + prev_angle);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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let rotated = rotate(t, -0.5 * PI + prev_angle);
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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added = true;
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}
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let rotated = rotate(rotated, PI);
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if !added && rotated.1.y >= -0.001 && rotated.2.y >= -0.001 && (rotated.1.y < 0.1 || rotated.2.y < 0.1) {
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if !added
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&& rotated.1.y >= -0.001
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&& rotated.2.y >= -0.001
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&& (rotated.1.y < 0.1 || rotated.2.y < 0.1)
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{
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normalized_tris.push((idx, rotated));
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if rotated.1.x > 0.0 && rotated.2.x > 0.0 {
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if rotated.1.x > -0.001 && rotated.2.x > -0.001 {
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left_tris.push((idx, rotated));
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}
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}
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@ -115,58 +145,80 @@ fn main() {
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display::save_tri(&format!("{}{}.svg", save_prefix, save_counter), *t);
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save_counter += 1;
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}
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let save_prefix = "start_";
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save_counter = 0;
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let mut worlds = BinaryHeap::new();
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for t in &left_tris {
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let mut world = World {
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tris: vec![*t],
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width: 0.0
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width: 0.0,
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};
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world.normalize();
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display::save_world(&format!("{}{}.svg", save_prefix, save_counter), &world);
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save_counter += 1;
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worlds.push(world);
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}
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let mut best = World { tris: vec![], width: f64::MAX };
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let mut best = World {
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tris: vec![],
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width: f32::MAX,
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};
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let save_prefix = "world_";
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let mut save_counter = 0;
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save_counter = 0;
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while worlds.peek().map(|x| x.width <= best.width) == Some(true) {
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let w = worlds.pop().unwrap();
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//println!("s: {:?}", w);
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let mut new = vec![];
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for (next_idx, next_tri) in left_tris.iter()
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.filter(|(idx1, _tri)| w.tris.iter().all(|(idx2, _tri)| idx1 != idx2)) {
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for (next_idx, next_tri) in left_tris
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.iter()
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.filter(|(idx1, _tri)| w.tris.iter().all(|(idx2, _tri)| idx1 != idx2))
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{
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//println!("trying {:?}", next_idx);
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let (_, last_tri) = *w.tris.last().unwrap();
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let last_vertex = if last_tri.1.y > 0.01 && !(last_tri.2.y > 0.01 && last_tri.2.x > last_tri.1.x) {
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last_tri.1
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} else {
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last_tri.2
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};
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let last_vertex =
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if last_tri.1.y > 0.01 && !(last_tri.2.y > 0.01 && last_tri.2.x > last_tri.1.x) {
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last_tri.1
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} else {
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last_tri.2
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};
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let mut free_angle = angle_of(last_tri, last_vertex);
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//println!("angle of {:?}: {:?}", last_vertex, free_angle);
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if last_vertex.x > 0.0 {
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free_angle = 0.5*PI - free_angle;
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free_angle = 0.5 * PI - free_angle;
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} else {
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free_angle = 0.5*PI + free_angle;
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free_angle = 0.5 * PI + free_angle;
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}
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let next_vertex = if next_tri.1.y > 0.01 {
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let next_vertex = if next_tri.1.y < 0.001 && next_tri.1.y > -0.001 {
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next_tri.2
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} else if next_tri.2.y < 0.001 && next_tri.2.y > -0.001 {
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next_tri.1
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} else if next_tri.1.x < next_tri.2.x {
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next_tri.1
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} else {
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next_tri.2
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};
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let mut next_angle = angle_of(*next_tri, next_vertex);
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if next_vertex.x > 0.0 {
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next_angle = 0.5*PI - next_angle;
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} else {
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next_angle = 0.5*PI + next_angle;
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}
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if next_angle <= free_angle {
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// easy: just rotate to fit and put it below the last triangle
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let next_angle = PI - angle_of(*next_tri, next_vertex);
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for angle in 0..=150 {
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let angle = (1.0 * angle as f32).to_radians();
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let next_angle = next_angle - angle;
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let mut tri = rotate(*next_tri, angle);
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let dx = if last_tri.intersects(&tri) {
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0.005
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} else {
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-0.005
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};
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while last_tri.intersects(&tri) {
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tri.0.x += dx;
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tri.1.x += dx;
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tri.2.x += dx;
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}
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let mut w = w.clone();
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w.tris.push((*next_idx, rotate(*next_tri, free_angle - next_angle)));
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//println!("new {:?} {:?} {:?}: {:?}", save_counter, free_angle, next_angle, w);
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w.tris.push((*next_idx, tri));
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w.normalize();
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w.calc_width();
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if save_counter < 100 {
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@ -175,36 +227,15 @@ fn main() {
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if w.tris.len() == count_tris {
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if w.width < best.width {
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println!("new best: {}", w.width);
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println!("{:?}", w.tris);
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display::save_world(
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&format!("{}best_{}.svg", save_prefix, save_counter),
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&w,
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||||
);
|
||||
best = w;
|
||||
}
|
||||
} else {
|
||||
new.push(w);
|
||||
}
|
||||
save_counter += 1;
|
||||
} else {
|
||||
// "hard": move it right till it fits
|
||||
print!("error: doesn't fit [S{} {}]", w.tris.len(), save_counter);
|
||||
assert!(last_tri.intersects(next_tri));
|
||||
let mut next_tri = *next_tri;
|
||||
while last_tri.intersects(&next_tri) {
|
||||
next_tri.0.x += 0.005;
|
||||
next_tri.1.x += 0.005;
|
||||
next_tri.2.x += 0.005;
|
||||
}
|
||||
let mut w = w.clone();
|
||||
w.tris.push((*next_idx, next_tri));
|
||||
w.normalize();
|
||||
w.calc_width();
|
||||
println!(" -> width = {}", w.width);
|
||||
if save_counter < 100 {
|
||||
display::save_world(&format!("{}{}.svg", save_prefix, save_counter), &w);
|
||||
}
|
||||
if w.tris.len() == count_tris {
|
||||
if w.width < best.width {
|
||||
println!("new best: {}", w.width);
|
||||
best = w;
|
||||
}
|
||||
} else {
|
||||
w.width -= (2.0 * PI - free_angle - next_angle) * 0.003 * w.tris.len() as f32;
|
||||
new.push(w);
|
||||
}
|
||||
save_counter += 1;
|
||||
@ -234,7 +265,7 @@ impl World {
|
||||
self.move_left(maxx);
|
||||
}
|
||||
}
|
||||
fn move_left(&mut self, amount: f64) {
|
||||
fn move_left(&mut self, amount: f32) {
|
||||
for (_, tri) in &mut self.tris {
|
||||
tri.0.x -= amount;
|
||||
tri.1.x -= amount;
|
||||
@ -242,55 +273,96 @@ impl World {
|
||||
}
|
||||
}
|
||||
fn calc_width(&mut self) {
|
||||
let mut x = vec![];
|
||||
for (_, tri) in &self.tris {
|
||||
if tri.0.y < 0.001 && tri.0.y > -0.001 {
|
||||
x.push(tri.0.x);
|
||||
}
|
||||
if tri.1.y < 0.001 && tri.1.y > -0.001 {
|
||||
x.push(tri.1.x);
|
||||
}
|
||||
if tri.2.y < 0.001 && tri.2.y > -0.001 {
|
||||
x.push(tri.2.x);
|
||||
}
|
||||
let mut minx = f32::MIN;
|
||||
if (self.tris[0].1).0.y > -0.001 && (self.tris[0].1).0.y < 0.001 {
|
||||
minx = max((self.tris[0].1).0.x, minx);
|
||||
}
|
||||
x.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap());
|
||||
self.width = x[x.len()-2] - x[1];
|
||||
if (self.tris[0].1).1.y > -0.001 && (self.tris[0].1).1.y < 0.001 {
|
||||
minx = max((self.tris[0].1).1.x, minx);
|
||||
}
|
||||
if (self.tris[0].1).2.y > -0.001 && (self.tris[0].1).2.y < 0.001 {
|
||||
minx = max((self.tris[0].1).2.x, minx);
|
||||
}
|
||||
let mut maxx = f32::MAX;
|
||||
if (self.tris[self.tris.len() - 1].1).0.y > -0.001
|
||||
&& (self.tris[self.tris.len() - 1].1).0.y < 0.001
|
||||
{
|
||||
maxx = min((self.tris[self.tris.len() - 1].1).0.x, maxx);
|
||||
}
|
||||
if (self.tris[self.tris.len() - 1].1).1.y > -0.001
|
||||
&& (self.tris[self.tris.len() - 1].1).1.y < 0.001
|
||||
{
|
||||
maxx = min((self.tris[self.tris.len() - 1].1).1.x, maxx);
|
||||
}
|
||||
if (self.tris[self.tris.len() - 1].1).2.y > -0.001
|
||||
&& (self.tris[self.tris.len() - 1].1).2.y < 0.001
|
||||
{
|
||||
maxx = min((self.tris[self.tris.len() - 1].1).2.x, maxx);
|
||||
}
|
||||
self.width = maxx - minx;
|
||||
}
|
||||
}
|
||||
|
||||
fn rotate(mut tri: Triangle<f64>, angle: f64) -> Triangle<f64> {
|
||||
fn rotate(mut tri: Triangle<f32>, angle: f32) -> Triangle<f32> {
|
||||
let x1 = tri.1.x;
|
||||
let y1 = tri.1.y;
|
||||
tri.1.x = x1*angle.cos() - y1*angle.sin();
|
||||
tri.1.y = x1*angle.sin() + y1*angle.cos();
|
||||
tri.1.x = x1 * angle.cos() - y1 * angle.sin();
|
||||
tri.1.y = x1 * angle.sin() + y1 * angle.cos();
|
||||
let x2 = tri.2.x;
|
||||
let y2 = tri.2.y;
|
||||
tri.2.x = x2*angle.cos() - y2*angle.sin();
|
||||
tri.2.y = x2*angle.sin() + y2*angle.cos();
|
||||
tri.2.x = x2 * angle.cos() - y2 * angle.sin();
|
||||
tri.2.y = x2 * angle.sin() + y2 * angle.cos();
|
||||
tri
|
||||
}
|
||||
|
||||
fn angle_of(_tri: Triangle<f64>, point: Coordinate<f64>) -> f64 {
|
||||
fn angle_of(_tri: Triangle<f32>, point: Coordinate<f32>) -> f32 {
|
||||
let d = (point.x.powi(2) + point.y.powi(2)).sqrt();
|
||||
(point.y / d).acos()
|
||||
}
|
||||
|
||||
fn transformations(tris: &[Triangle<f64>]) -> Vec<Triangle<f64>> {
|
||||
fn transformations(tris: &[Triangle<f32>]) -> Vec<Triangle<f32>> {
|
||||
let mut new = Vec::with_capacity(tris.len() * 6);
|
||||
for t in tris {
|
||||
let n = Triangle((0.0, 0.0).into(), (t.1.x - t.0.x, t.1.y - t.0.y).into(), (t.2.x - t.0.x, t.2.y - t.0.y).into());
|
||||
let n = Triangle(
|
||||
(0.0, 0.0).into(),
|
||||
(t.1.x - t.0.x, t.1.y - t.0.y).into(),
|
||||
(t.2.x - t.0.x, t.2.y - t.0.y).into(),
|
||||
);
|
||||
new.push(n);
|
||||
let n = [[-n.0.x, n.0.y], [-n.1.x, n.1.y], [-n.2.x, n.2.y]].into();
|
||||
new.push(n);
|
||||
let n = Triangle((0.0, 0.0).into(), (t.2.x - t.1.x, t.2.y - t.1.y).into(), (t.0.x - t.1.x, t.0.y - t.1.y).into());
|
||||
let n = Triangle(
|
||||
(0.0, 0.0).into(),
|
||||
(t.2.x - t.1.x, t.2.y - t.1.y).into(),
|
||||
(t.0.x - t.1.x, t.0.y - t.1.y).into(),
|
||||
);
|
||||
new.push(n);
|
||||
let n = [[-n.0.x, n.0.y], [-n.1.x, n.1.y], [-n.2.x, n.2.y]].into();
|
||||
new.push(n);
|
||||
let n = Triangle((0.0, 0.0).into(), (t.0.x - t.2.x, t.0.y - t.2.y).into(), (t.1.x - t.2.x, t.1.y - t.2.y).into());
|
||||
let n = Triangle(
|
||||
(0.0, 0.0).into(),
|
||||
(t.0.x - t.2.x, t.0.y - t.2.y).into(),
|
||||
(t.1.x - t.2.x, t.1.y - t.2.y).into(),
|
||||
);
|
||||
new.push(n);
|
||||
let n = [[-n.0.x, n.0.y], [-n.1.x, n.1.y], [-n.2.x, n.2.y]].into();
|
||||
new.push(n);
|
||||
}
|
||||
new
|
||||
}
|
||||
|
||||
fn min(a: f32, b: f32) -> f32 {
|
||||
if a < b {
|
||||
a
|
||||
} else {
|
||||
b
|
||||
}
|
||||
}
|
||||
|
||||
fn max(a: f32, b: f32) -> f32 {
|
||||
if a > b {
|
||||
a
|
||||
} else {
|
||||
b
|
||||
}
|
||||
}
|
||||
|
||||
Loading…
Reference in New Issue
Block a user