196 lines
5.8 KiB
Java
196 lines
5.8 KiB
Java
package Presenter;
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import Model.Line;
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import Model.Pair;
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import Model.Slab;
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import Presenter.Comparators.YOrderLineComparatorBegin;
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import Presenter.Comparators.YOrderLineComparatorEnd;
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import java.util.ArrayList;
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import java.util.Collections;
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import java.util.HashMap;
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import java.util.List;
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/**
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* Implementierung verschiedener Algorithmen zur Berechnung von Ausgleichsgeraden.
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*
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* @Author: Armin Wolf
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* @Email: a_wolf28@uni-muenster.de
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* @Date: 18.06.2017.
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*/
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public class InversionCounter {
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private HashMap<Integer, Integer> dictionaryTO;
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private HashMap<Integer, Integer> dictionaryBACK;
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private ArrayList<Integer> substituted;
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private ArrayList<Pair> inversions;
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private List<Line> set;
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//indexieren der Punkte damit die schnittpunkte berechnet werden können
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private HashMap<Line, Integer> secondaryDictionaryTO;
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private HashMap<Integer, Line> secondaryDictionaryBACK;
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private ArrayList<Line> umin;
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public int run(List<Integer> a, List<Integer> b) {
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dictionaryTO = new HashMap<>();
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dictionaryBACK = new HashMap<>();
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substituted = new ArrayList<>();
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inversions = new ArrayList<>();
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ArrayList<Integer> temp = new ArrayList<>();
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temp.addAll(a);
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for (int i = 0; i < a.size(); i++) {
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dictionaryTO.put(a.get(i), i + 1);
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dictionaryBACK.put(i + 1, a.get(i));
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}
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for (int j = 0; j < b.size(); j++) {
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substituted.add(dictionaryTO.get(b.get(j)));
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}
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int ret = countInversions(substituted, 0, substituted.size() - 1, temp);
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getIntersectionAbscissas();
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return ret;
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}
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public int run(List<Line> set, Slab slab) {
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ArrayList<Integer> listA = new ArrayList<>();
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ArrayList<Integer> listB = new ArrayList<>();
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prepareData(set, slab, listA, listB);
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return run(listA, listB);
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}
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private void prepareData(List<Line> set, Slab slab, ArrayList<Integer> listA,
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ArrayList<Integer> listB) {
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secondaryDictionaryTO = new HashMap<>();
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secondaryDictionaryBACK = new HashMap<>();
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this.set = set;
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umin = new ArrayList<>();
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Line tmpLine;
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for (Line p : set) {
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//vertauscht das Point standardmäßig die x lexikografische Ordnung betrachtet
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tmpLine = new Line(p.getM(), p.getM(), slab.getLower() * p.getM() + p.getB(),
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slab.getUpper() * p.getM() + p.getB());
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//wird benötigt um späer die Schnittpunkte ermitteln zu können
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tmpLine.setB(p.getB());
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tmpLine.setM(p.getM());
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umin.add(tmpLine);
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}
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for (int i = 0; i < umin.size(); i++) {
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secondaryDictionaryTO.put(umin.get(i), i);
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secondaryDictionaryBACK.put(i, this.set.get(i));
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}
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Collections.sort(umin, new YOrderLineComparatorBegin());
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for (Line q : umin) {
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listA.add(secondaryDictionaryTO.get(q));
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}
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Collections.sort(umin, new YOrderLineComparatorEnd());
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for (Line q : umin) {
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listB.add(secondaryDictionaryTO.get(q));
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}
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}
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/**
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* Angepasster Merge-Sort Algorithmus.
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* Die Funktion bekommt neben den standard Parametern zusätzlich eine Liste mit Elementen
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* die als Groundtruth dienen.
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*
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* @param a Eingabefeld mit den Elementen die überprüft werden sollen.
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* @param start Startpunkt des Eingabefeldes.
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* @param end Endpunkt des Eingabefeldes.
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* @param aux Groundtruth Ordnung um die Anzahl der Inversionen zu bestimmen.
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* @return Anzahl der inversionen zwischen a und aux.
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*/
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public int countInversions(List<Integer> a, int start, int end, List<Integer> aux) {
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if (start >= end) {
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return 0;
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}
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int invCount = 0;
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int mid = start + (end - start) / 2;
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int invCountLeft = countInversions(a, start, mid, aux); // divide and conquer
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int invCountRight = countInversions(a, mid + 1, end, aux); // divide and conquer
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invCount += (invCountLeft + invCountRight);
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for (int i = start; i <= end; i++) {
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aux.set(i, a.get(i));
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}
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int left = start;
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int right = mid + 1;
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int index = start;
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while (left <= mid && right <= end) {
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if (aux.get(left) < aux.get(right)) {
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a.set(index++, aux.get(left++));
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} else {
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for (int i = left; i <= mid; i++) {
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// System.out.println(aux.get(i)+" -- "+ aux.get(right));
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inversions.add(new Pair(aux.get(i), aux.get(right)));
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}
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a.set(index++, aux.get(right++));
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invCount += mid - left + 1; // number of inversions for aux[right]
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}
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}
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while (left <= mid) {
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a.set(index++, aux.get(left++));
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}
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// no need to copy over remaining aux[right++] because they are already inside a
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return invCount;
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}
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public HashMap<Line, ArrayList<Line>> getIntersectionAbscissas() {
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ArrayList<Pair> result = new ArrayList<>();
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HashMap<Line, ArrayList<Line>> ret = new HashMap<>();
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for (int i = 0; i < inversions.size(); i++) {
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result.add(new Pair(dictionaryBACK.get(inversions.get(i).getP1()),
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dictionaryBACK.get(inversions.get(i).getP2())));
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}
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ArrayList<Line> linePairs;
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for (Pair p : result) {
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Line l1 = secondaryDictionaryBACK.get(p.getP1());
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Line l2 = secondaryDictionaryBACK.get(p.getP2());
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if (ret.get(l2) == null){
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linePairs = new ArrayList<>();
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} else {
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linePairs = ret.get(l2);
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}
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linePairs.add(l1);
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ret.put(l2, linePairs);
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//Symetrie
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if (ret.get(l1) == null){
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linePairs = new ArrayList<>();
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} else {
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linePairs = ret.get(l1);
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}
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linePairs.add(l2);
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ret.put(l1, linePairs);
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}
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// System.out.println("----------------------------------------------------------");
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// for (Line outerLine : ret.keySet()){
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// System.out.println("Linie: "+outerLine);
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// for (Line innerLine : ret.get(outerLine)){
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// System.out.println("\t\t -> "+innerLine);
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// }
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// }
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// System.out.println("----------------------------------------------------------");
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return ret;
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}
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}
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