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hack-for-e
| Author | SHA1 | Date | |
|---|---|---|---|
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9fe127cab7 | ||
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ffac5baa99 |
2
.gitignore
vendored
2
.gitignore
vendored
@ -4,5 +4,3 @@
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|||||||
*.pdf
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*.pdf
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||||||
*.toc
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*.toc
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||||||
*.aux
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*.aux
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||||||
*.pdf_tex
|
|
||||||
rand_sel_*.txt
|
|
||||||
|
|||||||
@ -65,13 +65,20 @@
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|||||||
\tableofcontents
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\tableofcontents
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||||||
|
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||||||
\section{Lösungsidee}
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\section{Lösungsidee}
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||||||
Die Anzahl der möglichen Anordnungen ist sehr groß. Schon die Reihenfolge der Dreiecke hat viele Möglichkeiten. Daher ist es schneller, zufällig gefundene Lösungen zu optimieren. Mit einigen Heuristiken können akzeptable, aber nicht optimale, Anordnungen gefunden werden.
|
Ähnlich wie man für Lisa in der ersten Aufgabe Kurven ausschließen kann, kann man für diese Aufgabe feststellen, dass zwei Dreiecke, die nebeneinander platziert sind, sich immer berühren. Berühren können sich diese entweder Kante an Kante oder nur an einem Punkt. Wenn zwischen zwei Dreiecken noch Platz ist, könnten diese näher zusammenrücken. Daher kann man annehmen, dass in jeder optimalen Lösung kein freier Platz (der belegt werden könnte) zwischen zwei benachbarten Dreiecken ist.
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Mit dieser Einschränkung erscheint eine Brute-Force-Suche mit Heuristiken möglich, wenn auch nicht besonders elegant.
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\subsection{Laufzeitanalyse}
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Jedes Dreieck kann auf eine der drei Seiten gelegt werden. Zudem kann es horizontal gespiegelt werden. Somit haben wir für das \enquote{erste} Dreieck, das platziert wird, $6n$ Möglichkeiten. Andere Dreiecke können auf linker oder rechter Seite platziert werden: $4*6(n-1)$ Möglichkeiten. Wie bei vielen Brute-Force-Suchen ist die Laufzeit daher ca. $O(n!)$. Heuristiken können helfen, die Laufzeit in der Praxis zu verkürzen.
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||||||
|
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\section{Bedienung des Programms}
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\section{Bedienung des Programms}
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||||||
Das Programm liest die Problemstellung von der Standardeingabe ein. Informationen über gefundene Lösungen und Visualisierungen dieser werden im aktuellen Verzeichnis gespeichert. Der Gesamtabstand gefundener Anordnungen wird auch in der Standardausgabe angezeigt.
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Das Programm liest die Problemstellung von der Standardeingabe ein. Die grafische Ausgabe wird in die Standardausgabe geschrieben. Kommandozeilenparameter werden nicht verarbeitet.
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||||||
|
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\section{Umsetzung}
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\section{Umsetzung}
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Zuerst wird eine zufällige Anordnung der Grundstücke generiert. Dafür werden beliebige Grundstücke getauscht, gedreht und gespiegelt. Danach werden zufällige Optimierungen ausprobiert: entweder werden alle Winkel und Spiegelungen oder nur ein Winkel verändert. Mit dieser Kombination sind sowohl grundlegende Änderungen als auch Feinabstimmungen möglich. Bis durch diese keine Verbesserung mehr gefunden wird. Ist die so gefundene Anordnung besser als bereits gefundene, wird sie gespeichert. Dieser Prozess wird wiederholt, bis der Anwender das Programm beendet.
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Als Startzustand werden alle Dreiecke in jeweils sechs Konfigurationen gespeichert. Auf solche unvollständigen Aufteilungen baut die Hauptschleife auf. Es wird dabei immer zuerst die Konfiguration mit der kleinsten Breite zuerst bearbeitet, um so zuerst möglicherweise bessere Konfigurationen zu verarbeiten. Zu einer unvollständigen Aufteilung versucht das Programm dann, eins der verbleibenden Dreiecke hinzuzufügen (???). Dieses neue Dreieck kann natürlich zwischen zwei Dreiecke, links neben alle Dreiecke oder rechts neben alle Dreiecke platziert werden. Als Drehwinkel werden genau solche probiert, bei denen das Dreieck entweder an der Straße mit einer Seite liegt oder ein anderes Dreieck berührt.
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\subsection{Optimierungen}
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Wie bereits erwähnt, werden Aufteilungen mit kleinerer Breite zuerst abgearbeitet.
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\section{Beispiele}
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\section{Beispiele}
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\lstinputlisting[caption=Lösung für dreiecke1.txt,frame=single,breaklines=true]{worldr1.txt}
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\lstinputlisting[caption=Lösung für dreiecke1.txt,frame=single,breaklines=true]{worldr1.txt}
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@ -79,35 +86,14 @@ Zuerst wird eine zufällige Anordnung der Grundstücke generiert. Dafür werden
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\def\svgwidth{\columnwidth}
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\def\svgwidth{\columnwidth}
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\input{worldr1.pdf_tex}
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\input{worldr1.pdf_tex}
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\caption{Visualisierung der Lösung für dreiecke1.txt}
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\caption{Visualisierung der Lösung für dreiecke1.txt}
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\label{fig:d1}
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\label{fig:Bild1}
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\end{figure}
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\end{figure}
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\lstinputlisting[caption=Lösung für dreiecke2.txt,frame=single,breaklines=true]{worldr2.txt}
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\lstinputlisting[caption=Lösung für dreiecke2.txt,frame=single,breaklines=true]{worldr2.txt}
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\begin{figure}[H]
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\begin{figure}[H]
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\def\svgwidth{\columnwidth}
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\def\svgwidth{\columnwidth}
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\input{worldr2.pdf_tex}
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\input{worldr2.pdf_tex}
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\caption{Visualisierung der Lösung für dreiecke2.txt}
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\caption{Visualisierung der Lösung für dreiecke2.txt}
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\label{fig:d2}
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\label{fig:Bild1}
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\end{figure}
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\lstinputlisting[caption=Lösung für dreiecke3.txt,frame=single,breaklines=true]{worldr3.txt}
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\begin{figure}[H]
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\def\svgwidth{\columnwidth}
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\input{worldr3.pdf_tex}
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\caption{Visualisierung der Lösung für dreiecke3.txt}
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\label{fig:d3}
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\end{figure}
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\lstinputlisting[caption=Lösung für dreiecke4.txt,frame=single,breaklines=true]{worldr4.txt}
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\begin{figure}[H]
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\def\svgwidth{\columnwidth}
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\input{worldr4.pdf_tex}
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\caption{Visualisierung der Lösung für dreiecke4.txt}
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\label{fig:d4}
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\end{figure}
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\lstinputlisting[caption=Lösung für dreiecke5.txt,frame=single,breaklines=true]{worldr5.txt}
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\begin{figure}[H]
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\def\svgwidth{\columnwidth}
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\input{worldr5.pdf_tex}
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\caption{Visualisierung der Lösung für dreiecke5.txt}
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\label{fig:d5}
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\end{figure}
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\end{figure}
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\section{Quellcode (Hauptalgorithmus)}
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\section{Quellcode (Hauptalgorithmus)}
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3
run_svg2text.sh
Executable file → Normal file
3
run_svg2text.sh
Executable file → Normal file
@ -1,5 +1,2 @@
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inkscape -D -z --file=worldr1.svg --export-pdf=worldr1.pdf --export-latex
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inkscape -D -z --file=worldr1.svg --export-pdf=worldr1.pdf --export-latex
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inkscape -D -z --file=worldr2.svg --export-pdf=worldr2.pdf --export-latex
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inkscape -D -z --file=worldr2.svg --export-pdf=worldr2.pdf --export-latex
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inkscape -D -z --file=worldr3.svg --export-pdf=worldr3.pdf --export-latex
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inkscape -D -z --file=worldr4.svg --export-pdf=worldr4.pdf --export-latex
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inkscape -D -z --file=worldr5.svg --export-pdf=worldr5.pdf --export-latex
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@ -1,6 +1,6 @@
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use svg::node::element::path::Data;
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use svg::node::element::path::Data;
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use svg::node::element::Circle;
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use svg::node::element::Path;
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use svg::node::element::Path;
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use svg::node::element::Circle;
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use svg::Document;
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use svg::Document;
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use svg::Node;
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use svg::Node;
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@ -13,42 +13,29 @@ fn idx_to_char(idx: usize) -> char {
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0 => 'A',
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0 => 'A',
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1 => 'B',
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1 => 'B',
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2 => 'C',
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2 => 'C',
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_ => unreachable!(),
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_ => unreachable!()
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}
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}
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}
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}
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pub(crate) fn save_info(
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pub(crate) fn save_info(filename: &str, world: &World, tris: &[Triangle], original_tris: &[Triangle]) {
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filename: &str,
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let mut text = format!("Gesamtabstand: {:.0}\n", world.width);
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world: &World,
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tris: &[Triangle],
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original_tris: &[Triangle],
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) {
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let mut text = format!("Gesamtabstand: {:.0}m\n", world.width);
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for (idx, (_, tri)) in world.tris.iter().enumerate() {
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for (idx, (_, tri)) in world.tris.iter().enumerate() {
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let unrotated_tri = tris[idx];
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let unrotated_tri = tris[idx];
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let original_idx = original_tris
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let original_idx = original_tris.iter().position(|x| x.0 == unrotated_tri.0 && x.1 == unrotated_tri.1 && x.2 == unrotated_tri.2).unwrap();
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.iter()
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.position(|x| {
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x.0 == unrotated_tri.0 && x.1 == unrotated_tri.1 && x.2 == unrotated_tri.2
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})
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.unwrap();
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text += &format!("D{}:", original_idx);
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text += &format!("D{}:", original_idx);
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let mut coordinates = vec![tri.0, tri.1, tri.2];
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let mut coordinates = vec![tri.0, tri.1, tri.2];
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coordinates.sort_by_key(|x| (x.x * 100.0) as u32);
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coordinates.sort_by_key(|x| (x.x * 100.0) as u32);
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for (idx, c) in coordinates.into_iter().enumerate() {
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for (idx, c) in coordinates.into_iter().enumerate() {
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text += &format!(
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text += &format!(" D{}{}[{:.0} {:.0}]", original_idx, idx_to_char(idx), c.x, c.y);
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" D{}{}[{:.0} {:.0}]",
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original_idx,
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idx_to_char(idx),
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c.x,
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c.y
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);
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}
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}
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text += "\n";
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text += "\n";
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}
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}
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fs::write(filename, text).unwrap();
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fs::write(filename, text).unwrap();
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}
|
}
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||||||
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|
pub(crate) fn save_tri(filename: &str, tri: Triangle) {
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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) {
|
pub(crate) fn save_world(filename: &str, world: &World) {
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fs::write(
|
fs::write(
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filename,
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filename,
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910
src/main.rs
910
src/main.rs
File diff suppressed because it is too large
Load Diff
@ -1,4 +1,4 @@
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Gesamtabstand: 0m
|
Gesamtabstand: 0
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||||||
D3: D3A[-0 0] D3B[-531 35] D3C[-485 178]
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D3: D3A[-0 0] D3B[-531 35] D3C[-485 178]
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D1: D1A[-0 0] D1B[-498 284] D1C[-396 394]
|
D1: D1A[-0 0] D1B[-498 284] D1C[-396 394]
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||||||
D0: D0A[-0 0] D0B[-230 417] D0C[-84 451]
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D0: D0A[-0 0] D0B[-230 417] D0C[-84 451]
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||||||
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|||||||
147
worldr3.svg
147
worldr3.svg
@ -1,147 +0,0 @@
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|||||||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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||||||
<svg
|
|
||||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
|
||||||
xmlns:cc="http://creativecommons.org/ns#"
|
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||||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
|
||||||
xmlns:svg="http://www.w3.org/2000/svg"
|
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||||||
xmlns="http://www.w3.org/2000/svg"
|
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||||||
height="291.75681"
|
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||||||
width="543.85474"
|
|
||||||
id="svg50"
|
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||||||
version="1.1"
|
|
||||||
viewBox="-20 -20 543.85474 291.75681">
|
|
||||||
<metadata
|
|
||||||
id="metadata56">
|
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||||||
<rdf:RDF>
|
|
||||||
<cc:Work
|
|
||||||
rdf:about="">
|
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||||||
<dc:format>image/svg+xml</dc:format>
|
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||||||
<dc:type
|
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||||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
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||||||
<dc:title></dc:title>
|
|
||||||
</cc:Work>
|
|
||||||
</rdf:RDF>
|
|
||||||
</metadata>
|
|
||||||
<defs
|
|
||||||
id="defs54" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path2"
|
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d="M 178.38174,271.07701 -5.1303221,188.53413 -12.338752,264.85607 Z" />
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<circle
|
|
||||||
style="fill:#ff0000"
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id="circle4"
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r="0.30000001"
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cy="271.077"
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cx="178.38174" />
|
|
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<path
|
|
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style="fill:none;stroke:#000000;stroke-width:0.40000001"
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id="path6"
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<circle
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style="fill:#ff0000"
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id="circle8"
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r="0.30000001"
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cy="133.40773"
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cx="23.794666" />
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<path
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style="fill:none;stroke:#000000;stroke-width:0.40000001"
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id="path10"
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d="M -16.288222,84.302858 178.38182,271.07701 58.432148,72.225128 Z" />
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<circle
|
|
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style="fill:#ff0000"
|
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||||||
id="circle12"
|
|
||||||
r="0.30000001"
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cy="84.302856"
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cx="-16.288219" />
|
|
||||||
<path
|
|
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style="fill:none;stroke:#000000;stroke-width:0.40000001"
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||||||
id="path14"
|
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||||||
d="M 80.541828,108.20488 135.40401,75.248238 178.38183,271.07701 Z" />
|
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<circle
|
|
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style="fill:#ff0000"
|
|
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id="circle16"
|
|
||||||
r="0.30000001"
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cy="108.20488"
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cx="80.541832" />
|
|
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<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
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id="path18"
|
|
||||||
d="M 178.38191,271.07701 147.12184,114.15726 198.57577,91.321038 Z" />
|
|
||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle20"
|
|
||||||
r="0.30000001"
|
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||||||
cy="271.077"
|
|
||||||
cx="178.38191" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path22"
|
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||||||
d="m 178.38191,271.07701 52.37911,-36.00593 -41.08944,-55.71944 z" />
|
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||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle24"
|
|
||||||
r="0.30000001"
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||||||
cy="271.077"
|
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||||||
cx="178.38191" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
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id="path26"
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d="m 257.30504,271.07701 -9.38126,-122.13514 -52.09187,38.77415 z" />
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<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle28"
|
|
||||||
r="0.30000001"
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||||||
cy="271.077"
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||||||
cx="257.30505" />
|
|
||||||
<path
|
|
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style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
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id="path30"
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d="M 221.28504,-19.699992 267.2169,271.07701 290.67263,71.964398 Z" />
|
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||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle32"
|
|
||||||
r="0.30000001"
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||||||
cy="-19.700001"
|
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cx="221.28503" />
|
|
||||||
<path
|
|
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style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
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id="path34"
|
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d="M 290.7027,71.641908 267.2369,271.07701 349.32342,99.724138 Z" />
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<circle
|
|
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style="fill:#ff0000"
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id="circle36"
|
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||||||
r="0.30000001"
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cy="71.641907"
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cx="290.7027" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path38"
|
|
||||||
d="M 378.66574,187.72899 273.4369,271.07701 320.12373,160.65809 Z" />
|
|
||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle40"
|
|
||||||
r="0.30000001"
|
|
||||||
cy="187.72899"
|
|
||||||
cx="378.66574" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path42"
|
|
||||||
d="M 422.43528,153.0497 273.4569,271.07701 523.28391,200.15121 Z" />
|
|
||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle44"
|
|
||||||
r="0.30000001"
|
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||||||
cy="153.0497"
|
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||||||
cx="422.43527" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path46"
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24
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24
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||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle144"
|
|
||||||
r="0.30000001"
|
|
||||||
cy="114.72709"
|
|
||||||
cx="916.23932" />
|
|
||||||
<path
|
|
||||||
style="fill:none;stroke:#000000;stroke-width:0.40000001"
|
|
||||||
id="path146"
|
|
||||||
d="m 953.06886,154.22318 46.10724,12.61433 -120.00417,0.005 z" />
|
|
||||||
<circle
|
|
||||||
style="fill:#ff0000"
|
|
||||||
id="circle148"
|
|
||||||
r="0.30000001"
|
|
||||||
cy="154.22318"
|
|
||||||
cx="953.06885" />
|
|
||||||
</svg>
|
|
||||||
|
Before Width: | Height: | Size: 11 KiB |
38
worldr5.txt
38
worldr5.txt
@ -1,38 +0,0 @@
|
|||||||
Gesamtabstand: 787m
|
|
||||||
D0: D0A[-989 5] D0B[-964 17] D0C[-907 0]
|
|
||||||
D1: D1A[-1019 33] D1B[-990 74] D1C[-907 0]
|
|
||||||
D2: D2A[-989 72] D2B[-936 51] D2C[-907 0]
|
|
||||||
D3: D3A[-942 60] D3B[-907 100] D3C[-903 0]
|
|
||||||
D4: D4A[-907 113] D4B[-903 0] D4C[-868 67]
|
|
||||||
D5: D5A[-886 0] D5B[-862 88] D5C[-840 45]
|
|
||||||
D6: D6A[-886 0] D6B[-834 12] D6C[-825 60]
|
|
||||||
D7: D7A[-837 0] D7B[-824 61] D7C[-772 13]
|
|
||||||
D8: D8A[-815 52] D8B[-788 75] D8C[-758 0]
|
|
||||||
D9: D9A[-791 84] D9B[-758 0] D9C[-751 111]
|
|
||||||
D10: D10A[-757 0] D10B[-755 43] D10C[-735 49]
|
|
||||||
D11: D11A[-752 11] D11B[-725 72] D11C[-703 0]
|
|
||||||
D12: D12A[-726 77] D12B[-703 0] D12C[-680 87]
|
|
||||||
D13: D13A[-700 8] D13B[-679 90] D13C[-639 0]
|
|
||||||
D14: D14A[-656 38] D14B[-644 69] D14C[-627 0]
|
|
||||||
D15: D15A[-648 83] D15B[-627 0] D15C[-589 68]
|
|
||||||
D16: D16A[-627 0] D16B[-575 92] D16C[-563 69]
|
|
||||||
D17: D17A[-614 14] D17B[-565 67] D17C[-542 0]
|
|
||||||
D18: D18A[-564 72] D18B[-542 0] D18C[-520 69]
|
|
||||||
D19: D19A[-534 27] D19B[-533 0] D19C[-492 14]
|
|
||||||
D20: D20A[-528 46] D20B[-465 0] D20C[-465 97]
|
|
||||||
D21: D21A[-465 0] D21B[-465 74] D21C[-423 103]
|
|
||||||
D22: D22A[-465 0] D22B[-425 97] D22C[-423 29]
|
|
||||||
D23: D23A[-424 0] D23B[-423 103] D23C[-361 98]
|
|
||||||
D24: D24A[-424 0] D24B[-398 17] D24C[-392 50]
|
|
||||||
D25: D25A[-402 0] D25B[-388 56] D25C[-329 66]
|
|
||||||
D26: D26A[-387 14] D26B[-332 0] D26C[-319 75]
|
|
||||||
D27: D27A[-332 0] D27B[-315 93] D27C[-300 64]
|
|
||||||
D28: D28A[-332 0] D28B[-284 95] D28C[-261 14]
|
|
||||||
D29: D29A[-267 91] D29B[-259 0] D29C[-232 60]
|
|
||||||
D30: D30A[-259 0] D30B[-225 75] D30C[-191 0]
|
|
||||||
D31: D31A[-213 103] D31B[-191 0] D31C[-161 61]
|
|
||||||
D32: D32A[-191 0] D32B[-157 69] D32C[-120 0]
|
|
||||||
D33: D33A[-153 67] D33B[-120 0] D33C[-92 64]
|
|
||||||
D34: D34A[-120 0] D34B[-49 101] D34C[-38 187]
|
|
||||||
D35: D35A[-120 0] D35B[-83 52] D35C[-50 34]
|
|
||||||
D36: D36A[0 0] D36B[-120 0] D36C[-46 13]
|
|
||||||
Loading…
Reference in New Issue
Block a user