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Roadmaps/sorts.md Normal file
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### Sorting an array of size (n) : 32
n^2 for this array is : 1024.0<br>
nlogn for this array is : 160.0
| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 146007.0 | 496.0 | 31.0 |
| ALREADY SORTED | Insertion Sort | 18685.0 | 31.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 10791.0 | 78.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 56837.0 | 160.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 44935.0 | 558.0 | 31.0 |
| ALREADY SORTED | Three Way Quick Sort | 84400.0 | 357.0 | 195.0 |
| ALREADY SORTED | Heap Sort | 35678.0 | 231.0 | 146.0 |
| PARTIALLY SORTED | Selection Sort | 31420.0 | 496.0 | 31.0 |
| PARTIALLY SORTED | Insertion Sort | 10620.0 | 100.0 | 70.0 |
| PARTIALLY SORTED | Shell Sort | 12814.0 | 121.0 | 48.0 |
| PARTIALLY SORTED | Merge Sort | 28103.0 | 160.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 17834.0 | 187.0 | 30.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 53461.0 | 240.0 | 145.0 |
| PARTIALLY SORTED | Heap Sort | 10079.0 | 226.0 | 142.0 |
| REVERSE SORTED | Selection Sort | 31490.0 | 496.0 | 31.0 |
| REVERSE SORTED | Insertion Sort | 51979.0 | 496.0 | 496.0 |
| REVERSE SORTED | Shell Sort | 19998.0 | 114.0 | 58.0 |
| REVERSE SORTED | Merge Sort | 24306.0 | 160.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 38042.0 | 542.0 | 31.0 |
| REVERSE SORTED | Three Way Quick Sort | 55355.0 | 496.0 | 496.0 |
| REVERSE SORTED | Heap Sort | 8726.0 | 202.0 | 112.0 |
| RANDOMLY ORDERED | Selection Sort | 38714.0 | 496.0 | 31.0 |
| RANDOMLY ORDERED | Insertion Sort | 28294.0 | 282.0 | 255.0 |
| RANDOMLY ORDERED | Shell Sort | 15409.0 | 152.0 | 89.0 |
| RANDOMLY ORDERED | Merge Sort | 25057.0 | 160.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 18345.0 | 228.0 | 37.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 27702.0 | 229.0 | 157.0 |
| RANDOMLY ORDERED | Heap Sort | 9458.0 | 218.0 | 133.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 32061.0 | 496.0 | 31.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 21601.0 | 213.0 | 183.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 11792.0 | 118.0 | 50.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 26440.0 | 160.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 17994.0 | 203.0 | 38.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 17162.0 | 192.0 | 80.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 9138.0 | 223.0 | 128.0 |
### Sorting an array of size (n) : 512
n^2 for this array is : 262144.0<br>
nlogn for this array is : 4608.0
| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 4850717.0 | 130816.0 | 511.0 |
| ALREADY SORTED | Insertion Sort | 35989.0 | 511.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 158500.0 | 2529.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 449562.0 | 4608.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 3002463.0 | 131838.0 | 511.0 |
| ALREADY SORTED | Three Way Quick Sort | 1673142.0 | 25227.0 | 13149.0 |
| ALREADY SORTED | Heap Sort | 254052.0 | 7958.0 | 4464.0 |
| PARTIALLY SORTED | Selection Sort | 1965597.0 | 130816.0 | 511.0 |
| PARTIALLY SORTED | Insertion Sort | 2597005.0 | 29114.0 | 28607.0 |
| PARTIALLY SORTED | Shell Sort | 425297.0 | 5355.0 | 2949.0 |
| PARTIALLY SORTED | Merge Sort | 298236.0 | 4608.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 188748.0 | 6429.0 | 952.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 300219.0 | 9526.0 | 5537.0 |
| PARTIALLY SORTED | Heap Sort | 221880.0 | 7689.0 | 4266.0 |
| REVERSE SORTED | Selection Sort | 1964334.0 | 130816.0 | 511.0 |
| REVERSE SORTED | Insertion Sort | 8566013.0 | 130816.0 | 130816.0 |
| REVERSE SORTED | Shell Sort | 501150.0 | 4098.0 | 1790.0 |
| REVERSE SORTED | Merge Sort | 133242.0 | 4608.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 2777496.0 | 131582.0 | 511.0 |
| REVERSE SORTED | Three Way Quick Sort | 4018770.0 | 130816.0 | 130816.0 |
| REVERSE SORTED | Heap Sort | 316731.0 | 7203.0 | 3772.0 |
| RANDOMLY ORDERED | Selection Sort | 2139577.0 | 130816.0 | 511.0 |
| RANDOMLY ORDERED | Insertion Sort | 1740760.0 | 66207.0 | 65704.0 |
| RANDOMLY ORDERED | Shell Sort | 845052.0 | 5834.0 | 3503.0 |
| RANDOMLY ORDERED | Merge Sort | 170153.0 | 4608.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 137871.0 | 5685.0 | 1068.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 266034.0 | 6785.0 | 4434.0 |
| RANDOMLY ORDERED | Heap Sort | 304848.0 | 7658.0 | 4172.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 5186584.0 | 130816.0 | 511.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 1422557.0 | 57576.0 | 57067.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 432791.0 | 4097.0 | 1723.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 154453.0 | 4608.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 278238.0 | 15531.0 | 906.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 63401.0 | 2489.0 | 969.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 280381.0 | 7212.0 | 3819.0 |
### Sorting an array of size (n) : 1024
n^2 for this array is : 1048576.0<br>
nlogn for this array is : 10240.0
| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |
|--|--|--|--|--|
| ALREADY SORTED | Selection Sort | 7498749.0 | 523776.0 | 1023.0 |
| ALREADY SORTED | Insertion Sort | 22482.0 | 1023.0 | 0.0 |
| ALREADY SORTED | Shell Sort | 311771.0 | 5601.0 | 0.0 |
| ALREADY SORTED | Merge Sort | 276915.0 | 10240.0 | 0.0 |
| ALREADY SORTED | Quick Sort | 6711786.0 | 525822.0 | 1023.0 |
| ALREADY SORTED | Three Way Quick Sort | 3649069.0 | 70999.0 | 36808.0 |
| ALREADY SORTED | Heap Sort | 546827.0 | 18060.0 | 9968.0 |
| PARTIALLY SORTED | Selection Sort | 5672566.0 | 523776.0 | 1023.0 |
| PARTIALLY SORTED | Insertion Sort | 1121306.0 | 119251.0 | 118229.0 |
| PARTIALLY SORTED | Shell Sort | 888765.0 | 12869.0 | 7515.0 |
| PARTIALLY SORTED | Merge Sort | 998493.0 | 10240.0 | 0.0 |
| PARTIALLY SORTED | Quick Sort | 220528.0 | 13342.0 | 2143.0 |
| PARTIALLY SORTED | Three Way Quick Sort | 1015716.0 | 18425.0 | 10928.0 |
| PARTIALLY SORTED | Heap Sort | 412432.0 | 17351.0 | 9501.0 |
| REVERSE SORTED | Selection Sort | 5445486.0 | 523776.0 | 1023.0 |
| REVERSE SORTED | Insertion Sort | 4216956.0 | 523776.0 | 523776.0 |
| REVERSE SORTED | Shell Sort | 618302.0 | 9175.0 | 4430.0 |
| REVERSE SORTED | Merge Sort | 923041.0 | 10240.0 | 0.0 |
| REVERSE SORTED | Quick Sort | 7040860.0 | 525310.0 | 1023.0 |
| REVERSE SORTED | Three Way Quick Sort | 3.3696654E7 | 523776.0 | 523776.0 |
| REVERSE SORTED | Heap Sort | 374319.0 | 16407.0 | 8542.0 |
| RANDOMLY ORDERED | Selection Sort | 538151.0 | 523776.0 | 1023.0 |
| RANDOMLY ORDERED | Insertion Sort | 2208077.0 | 263988.0 | 262976.0 |
| RANDOMLY ORDERED | Shell Sort | 985999.0 | 13931.0 | 8766.0 |
| RANDOMLY ORDERED | Merge Sort | 1100978.0 | 10240.0 | 0.0 |
| RANDOMLY ORDERED | Quick Sort | 244102.0 | 13790.0 | 2377.0 |
| RANDOMLY ORDERED | Three Way Quick Sort | 911649.0 | 16118.0 | 10074.0 |
| RANDOMLY ORDERED | Heap Sort | 414616.0 | 17306.0 | 9311.0 |
| FEW FREQUENTLY OCCURING | Selection Sort | 536507.0 | 523776.0 | 1023.0 |
| FEW FREQUENTLY OCCURING | Insertion Sort | 1991185.0 | 241533.0 | 240512.0 |
| FEW FREQUENTLY OCCURING | Shell Sort | 561314.0 | 8621.0 | 3374.0 |
| FEW FREQUENTLY OCCURING | Merge Sort | 990428.0 | 10240.0 | 0.0 |
| FEW FREQUENTLY OCCURING | Quick Sort | 746566.0 | 59026.0 | 1844.0 |
| FEW FREQUENTLY OCCURING | Three Way Quick Sort | 229926.0 | 4749.0 | 1894.0 |
| FEW FREQUENTLY OCCURING | Heap Sort | 172988.0 | 16171.0 | 8449.0 |

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@ -16,6 +16,7 @@ dependencies {
implementation project(':module5')
implementation project(':module6')
implementation project(':module7')
implementation project(':module8')
implementation project(':common')
testImplementation project(':common')
}

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package com.hithomelabs.clients.Benchmarks;
public class ArraySize {
private final int size;
public ArraySize(int n){
size = n;
}
public int getSize() {
return size;
}
public double getNSquare(){
return Math.pow(size,2);
}
public double getNlogN(){
return size * Math.log(size)/ Math.log(2);
}
public double getLogN(){
return Math.log(size)/ Math.log(2);
}
@Override
public String toString() {
return "### Sorting an array of size (n) : " + getSize() + " \n" + "n^2 for this array is : " + getNSquare() + "<br> \n" + "nlogn for this array is : " + getNlogN() + "\n";
}
}

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@ -1,51 +1,41 @@
package com.hithomelabs.clients.Benchmarks;
import com.hithomelabs.clients.Benchmarks.Sortables.*;
import com.hithomelabs.princeton1.common.Apple;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
public class BenchMark {
private int size;
private ArraySize size;
private List<MeasurableSort<Apple>> algorithms;
private Apple[] sorted;
private Apple[] reverseSorted;
private Apple[] random;
private List<Sortable<Apple>> sortableCollections;
private static final String header = "| ARRAY NATURE | ALGORITHM | TIME ELAPSED (ns) | COMPARES | EXCHANGES |";
// * Helps get a table in markdown
private static final String markdownTableFormatter = "|--|--|--|--|--|";
BenchMark(int size, List<MeasurableSort<Apple>> algorithms) {
this.size = size;
this.size = new ArraySize(size);
this.algorithms = algorithms;
sorted = new Apple[this.size];
reverseSorted = new Apple[this.size];
random = new Apple[this.size];
for (int i = 0; i < size; i++) {
sorted[i] = new Apple(i);
reverseSorted[i] = new Apple(size - i);
random[i] = new Apple(new Random().nextInt(1000));
}
sortableCollections = new ArrayList<Sortable<Apple>>();
sortableCollections.add(new AlreadySortedApples(size));
sortableCollections.add(new PartiallySortedApples(size, 1000));
sortableCollections.add(new ReverseSortedApples(size));
sortableCollections.add(new RandomlySizedApples(size, 1000));
sortableCollections.add(new FewFrequentlyOccuringApples(size));
}
public void run() {
for (MeasurableSort<Apple> algo: algorithms){
System.out.println("Input size: "+size);
System.out.println("Running "+algo.getClass());
System.out.println("Sorting already sorted list");
SortingMetaData metaData = new SortingMetaData();
algo.sort(sorted.clone(),Apple.COMPARE_BY_SIZE, metaData);
System.out.println(metaData);
System.out.println("Sorting reverse sorted list");
metaData = new SortingMetaData();
algo.sort(reverseSorted.clone(),Apple.COMPARE_BY_SIZE, metaData);
System.out.println(metaData);
System.out.println("Sorting randomly ordered list");
metaData = new SortingMetaData();
algo.sort(random.clone(),Apple.COMPARE_BY_SIZE, metaData);
System.out.println(metaData);
System.out.println(size);
System.out.println(header);
System.out.println(markdownTableFormatter);
for(Sortable<Apple> array: sortableCollections){
new Bundle<Apple>(array, algorithms).run(Apple.COMPARE_BY_SIZE);
}
System.out.println();
}
}

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@ -7,6 +7,8 @@ import com.hithomelabs.princeton1.module5.Selection;
import com.hithomelabs.princeton1.module5.Shell;
import com.hithomelabs.princeton1.module6.Merge;
import com.hithomelabs.princeton1.module7.Quick;
import com.hithomelabs.princeton1.module7.ThreeWayQuick;
import com.hithomelabs.princeton1.module8.HeapSort;
import java.util.ArrayList;
import java.util.List;
@ -21,14 +23,16 @@ public class BenchMarkingClient {
algorithms.add(new Shell<Apple>());
algorithms.add(new Merge<Apple>());
algorithms.add(new Quick<Apple>());
algorithms.add(new ThreeWayQuick<Apple>());
algorithms.add(new HeapSort<Apple>());
BenchMark b1 = new BenchMark(32, algorithms);
BenchMark b2 = new BenchMark(512, algorithms);
BenchMark b3 = new BenchMark(1024, algorithms);
BenchMark b4 = new BenchMark(4096,algorithms);
b1.run();
b2.run();
b3.run();
//b1.run();
//b2.run();
//b3.run();
b4.run();
}

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@ -0,0 +1,38 @@
package com.hithomelabs.clients.Benchmarks;
import com.hithomelabs.princeton1.common.Apple;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Comparator;
import java.util.List;
/*
* * A sorting bundle, that bundles one array and passes a copy of that array for all algorithms to sort
*/
public class Bundle<E> {
private Sortable<E> array;
private List<MeasurableSort<E>> algorithms;
private Comparator<E> cmp;
Bundle(Sortable<E> array, List<MeasurableSort<E>> algorithms){
this.array = array;
this.algorithms = algorithms;
}
Bundle (Sortable<E> array, List<MeasurableSort<E>> algorithms, Comparator<E> cmp){
this(array, algorithms);
if (cmp != null) this.cmp = cmp;
}
public void run(Comparator<E> cmp){
for (MeasurableSort<E> sortingAlgorithm: algorithms){
SortingMetaData metaData = new SortingMetaData();
sortingAlgorithm.sort(array.getArray(), cmp, metaData);
System.out.println("| " + array.getOrdering() + " | " + sortingAlgorithm + " | " + metaData.timeElapsed() + " | " + metaData.getCompares() + " | " + metaData.getExchanges() + " |" );
}
}
}

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@ -0,0 +1,8 @@
package com.hithomelabs.clients.Benchmarks;
public interface Sortable<E> {
public E[] getArray();
public String getOrdering();
}

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@ -0,0 +1,25 @@
package com.hithomelabs.clients.Benchmarks.Sortables;
import com.hithomelabs.clients.Benchmarks.Sortable;
import com.hithomelabs.princeton1.common.Apple;
public class AlreadySortedApples implements Sortable<Apple> {
Apple[] apples;
public AlreadySortedApples(int size){
apples = new Apple[size];
for (int i = 0; i < size; i++)
apples[i] = new Apple(i);
}
@Override
public Apple[] getArray() {
return apples.clone();
}
@Override
public String getOrdering() {
return "ALREADY SORTED";
}
}

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@ -0,0 +1,30 @@
package com.hithomelabs.clients.Benchmarks.Sortables;
import com.hithomelabs.clients.Benchmarks.Sortable;
import com.hithomelabs.princeton1.common.Apple;
import java.util.Random;
public class FewFrequentlyOccuringApples implements Sortable<Apple> {
Apple[] apples;
Random random;
private static final int DEFAULT_SIZE_RANGE = 10;
public FewFrequentlyOccuringApples(int size){
random = new Random();
apples = new Apple[size];
for (int i = 0; i < size; i++)
apples[i] = new Apple(random.nextInt(DEFAULT_SIZE_RANGE));
}
@Override
public Apple[] getArray() {
return apples.clone();
}
@Override
public String getOrdering() {
return "FEW FREQUENTLY OCCURING";
}
}

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@ -0,0 +1,34 @@
package com.hithomelabs.clients.Benchmarks.Sortables;
import com.hithomelabs.clients.Benchmarks.Sortable;
import com.hithomelabs.princeton1.common.Apple;
import com.hithomelabs.princeton1.module5.ComparableHelper;
import com.hithomelabs.princeton1.module8.HeapSort;
import java.util.Random;
public class PartiallySortedApples implements Sortable<Apple>, ComparableHelper {
Apple[] apples;
Random random;
public PartiallySortedApples(int size, int sizeRange){
random = new Random();
apples = new Apple[size];
for (int i = 0; i < size; i++)
apples[i] = new Apple(random.nextInt(sizeRange));
HeapSort.heapify(apples);
int N = apples.length;
for (int i = 0; i < N/2; i++)
ComparableHelper.exch(apples, i, N-i-1);
}
@Override
public Apple[] getArray() {
return apples.clone();
}
@Override
public String getOrdering() {
return "PARTIALLY SORTED";
}
}

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@ -0,0 +1,30 @@
package com.hithomelabs.clients.Benchmarks.Sortables;
import com.hithomelabs.clients.Benchmarks.Sortable;
import com.hithomelabs.princeton1.common.Apple;
import java.util.Random;
public class RandomlySizedApples implements Sortable<Apple> {
Apple[] apples;
Random random;
public RandomlySizedApples(int size, int sizeRange){
random = new Random();
apples = new Apple[size];
for (int i = 0; i < size; i++)
apples[i] = new Apple(random.nextInt(sizeRange));
}
@Override
public Apple[] getArray() {
return apples.clone();
}
@Override
public String getOrdering() {
return "RANDOMLY ORDERED";
}
}

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@ -0,0 +1,25 @@
package com.hithomelabs.clients.Benchmarks.Sortables;
import com.hithomelabs.clients.Benchmarks.Sortable;
import com.hithomelabs.princeton1.common.Apple;
public class ReverseSortedApples implements Sortable<Apple> {
Apple[] apples;
public ReverseSortedApples(int size){
apples = new Apple[size];
for (int i = 0; i < size; i++)
apples[i] = new Apple(size-i);
}
@Override
public Apple[] getArray() {
return apples.clone();
}
@Override
public String getOrdering() {
return "REVERSE SORTED";
}
}

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@ -0,0 +1,23 @@
package com.hithomelabs.clients.module7;
import com.hithomelabs.princeton1.common.Apple;
import com.hithomelabs.princeton1.module7.Quick;
import com.hithomelabs.princeton1.module7.ThreeWayQuick;
import java.util.Random;
public class ThreeWayQuickSortClient {
public static void main(String[] args) {
int size = 100;
Apple[] apples = new Apple[size];
ThreeWayQuick<Apple> quick = new ThreeWayQuick<>();
for (int i = 0; i < apples.length; i++) {
apples[i] = new Apple(new Random().nextInt(10));
}
quick.sort(apples);
for (int i = 0; i < apples.length; i++)
System.out.println(apples[i]);
}
}

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@ -0,0 +1,23 @@
package com.hithomelabs.clients.module8;
import com.hithomelabs.princeton1.common.Apple;
import com.hithomelabs.princeton1.module8.HeapSort;
import java.util.Random;
public class HeapSortClient {
public static void main(String[] args) {
int size = 10;
Apple[] apples = new Apple[size];
HeapSort<Apple> heap = new HeapSort<Apple>();
for (int i = 0; i < apples.length; i++) {
apples[i] = new Apple(new Random().nextInt(10));
}
heap.sort(apples);
for (int i = 0; i < apples.length; i++)
System.out.println(apples[i]);
}
}

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@ -0,0 +1,18 @@
package com.hithomelabs.princeton1.module5;
// * * Provides a set of helper functions less and exch for Comparable data types
public interface ComparableHelper {
static <T> void exch(T[] arr, int j, int i) {
T temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
static <T> boolean less(T e1, T e2) {
return ((Comparable<T>)e1).compareTo(e2) < 0;
}
static <T> boolean equals(T e1, T e2) { return ((Comparable<T>)e1).compareTo(e2) == 0;}
}

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@ -4,14 +4,4 @@ public interface ComparableSort<E> {
void sort(E[] arr);
default void exch(E[] arr, int j, int i) {
E temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
default boolean less(Comparable<E> e1, E e2) {
return e1.compareTo(e2) < 0;
}
}

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@ -1,15 +0,0 @@
package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public interface ComparatorComparableSort<E> extends ComparableSort<E> {
public void sort(E[] arr, Comparator<E> cmp);
public default boolean less(E v, E w, Comparator<E> cmp){
if (cmp == null)
return ComparableSort.super.less((Comparable<E>) v, w);
else
return cmp.compare(v, w) < 0;
}
}

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@ -0,0 +1,19 @@
package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public interface ComparatorHelper extends ComparableHelper {
static <T> boolean less(T v, T w, Comparator<T> cmp) {
if (cmp == null) return ComparableHelper.less(v, w);
else
return cmp.compare(v, w) < 0;
}
static <T> boolean equals(T v, T w, Comparator<T> cmp) {
if (cmp == null) return ComparableHelper.equals(v, w);
else
return cmp.compare(v, w) == 0;
}
}

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@ -0,0 +1,9 @@
package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public interface ComparatorSort<E> extends ComparableSort<E> {
public void sort(E[] arr, Comparator<E> cmp);
}

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@ -2,7 +2,7 @@ package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public class Insertion<E> implements MeasurableSort<E> {
public class Insertion<E> implements MeasurableSort<E>, MeasurableHelper{
public void sort(E[] arr) {
coreSortLogic(arr, null, null);
@ -16,8 +16,8 @@ public class Insertion<E> implements MeasurableSort<E> {
// * * swap arr[i] with each element greater to it's left
for (int i = 1; i < N; i++) {
int j = i;
while (j >= 1 && less(arr[j], arr[j - 1], cmp, metaData)) {
exch(arr, j, j - 1, metaData);
while (j >= 1 && MeasurableHelper.less(arr[j], arr[j - 1], cmp, metaData)) {
MeasurableHelper.exch(arr, j, j - 1, metaData);
j = j - 1;
}
}
@ -37,5 +37,10 @@ public class Insertion<E> implements MeasurableSort<E> {
public void sort(E[] arr, Comparator<E> cmp) {
coreSortLogic(arr, cmp, null);
}
@Override
public String toString() {
return "Insertion Sort";
}
}

View File

@ -0,0 +1,25 @@
package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public interface MeasurableHelper extends ComparatorHelper{
static <T> boolean less(T v, T w, Comparator<T> cmp, SortingMetaData metaData) {
if (metaData != null)
metaData.incrementCompares();
return ComparatorHelper.less(v, w, cmp);
}
static <T> boolean equals(T v, T w, Comparator<T> cmp, SortingMetaData metaData) {
if (metaData != null)
metaData.incrementCompares();
return ComparatorHelper.equals(v, w, cmp);
}
static <T> void exch(T[] arr, int j, int i, SortingMetaData metaData) {
if (metaData != null)
metaData.incrementExchanges();
ComparableHelper.exch(arr, j, i);
}
}

View File

@ -2,20 +2,7 @@ package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public interface MeasurableSort<E> extends ComparatorComparableSort<E> {
default boolean less(E v, E w, Comparator<E> cmp, SortingMetaData metaData) {
if (metaData != null)
metaData.incrementCompares();
return ComparatorComparableSort.super.less(v, w, cmp);
}
default void exch(E[] arr, int j, int i, SortingMetaData metaData) {
if (metaData != null)
metaData.incrementExchanges();
ComparatorComparableSort.super.exch(arr, j, i);
}
public interface MeasurableSort<E> extends ComparatorSort<E> {
public void sort(E[] arr, Comparator<E> cmp, SortingMetaData metaData);

View File

@ -3,7 +3,7 @@ package com.hithomelabs.princeton1.module5;
import java.util.Comparator;
public class Selection<E> implements MeasurableSort<E> {
public class Selection<E> implements MeasurableSort<E>, MeasurableHelper {
/*
* * Selection sort "selects" the smallest element and swaps it with arr[0] of the array
@ -19,9 +19,9 @@ public class Selection<E> implements MeasurableSort<E> {
for(int i = 0; i < arr1.length - 1; i++){
int minIndex = i;
for(int j = i+1; j < arr.length; j ++){
if (less(arr[j], arr[minIndex], cmp, metaData)) minIndex = j;
if (MeasurableHelper.less(arr[j], arr[minIndex], cmp, metaData)) minIndex = j;
}
exch(arr, i, minIndex, metaData);
MeasurableHelper.exch(arr, i, minIndex, metaData);
}
}
@ -38,5 +38,10 @@ public class Selection<E> implements MeasurableSort<E> {
public void sort(E[] arr, Comparator<E> cmp) {
coreSortLogic(arr, cmp, null);
}
@Override
public String toString() {
return "Selection Sort";
}
}

View File

@ -3,7 +3,7 @@ package com.hithomelabs.princeton1.module5;
import java.util.ArrayList;
import java.util.Comparator;
public class Shell<E> implements MeasurableSort<E> {
public class Shell<E> implements MeasurableSort<E>, MeasurableHelper {
/*
* * We will be performing h sort
@ -40,8 +40,8 @@ public class Shell<E> implements MeasurableSort<E> {
int N = arr.length;
for(int i = h; i < N; i++){
int j = i;
while(j >= h && less(arr[j], arr[j-h], cmp, metaData)){
exch(arr, j, j-h, metaData);
while(j >= h && MeasurableHelper.less(arr[j], arr[j-h], cmp, metaData)){
MeasurableHelper.exch(arr, j, j-h, metaData);
j = j - h;
}
}
@ -69,4 +69,9 @@ public class Shell<E> implements MeasurableSort<E> {
public void sort(E[] arr, Comparator<E> cmp) {
coreSortLogic(arr, cmp, null);
}
@Override
public String toString() {
return "Shell Sort";
}
}

View File

@ -4,8 +4,8 @@ public class SortingMetaData {
private double tick;
private double tok;
private int exchanges;
private int compares;
private double exchanges;
private double compares;
public double timeElapsed(){
return tok - tick;
@ -27,6 +27,13 @@ public class SortingMetaData {
++exchanges;
}
public double getExchanges(){
return exchanges;
}
public double getCompares(){
return compares;
}
@Override
public String toString() {
return "Time elapsed: " + this.timeElapsed() + " nano-seconds \nCompares: "+this.compares+ "\nSwaps: "+this.exchanges;

View File

@ -1,13 +1,14 @@
package com.hithomelabs.princeton1.module6;
import com.hithomelabs.princeton1.module5.ComparableSort;
import com.hithomelabs.princeton1.module5.MeasurableHelper;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Arrays;
import java.util.Comparator;
public class Merge<E> implements MeasurableSort<E> {
public class Merge<E> implements MeasurableSort<E>, MeasurableHelper {
@Override
public void sort(E[] arr) {
coreSortLogic(arr, null, null);
@ -48,7 +49,7 @@ public class Merge<E> implements MeasurableSort<E> {
arr[k] = aux[i++];
if (metaData != null)
metaData.incrementCompares();
} else if (less( aux[i], aux[j], cmp, metaData)) {
} else if (MeasurableHelper.less( aux[i], aux[j], cmp, metaData)) {
arr[k] = aux[i++];
}
else arr[k] = aux[j++];
@ -68,6 +69,11 @@ public class Merge<E> implements MeasurableSort<E> {
public void sort(E[] arr, Comparator<E> cmp) {
coreSortLogic(arr, cmp, null);
}
@Override
public String toString() {
return "Merge Sort";
}
}

View File

@ -1,12 +1,13 @@
package com.hithomelabs.princeton1.module7;
import com.hithomelabs.princeton1.module5.MeasurableHelper;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Comparator;
public class Quick<E> implements MeasurableSort<E> {
public class Quick<E> implements MeasurableSort<E>, MeasurableHelper {
@Override
public void sort(E[] arr) {
int N = arr.length;
@ -23,13 +24,13 @@ import java.util.Comparator;
int i = lo + 1;
int j = i;
while(j <= hi){
if(less((Comparable<E>) arr[j], arr[lo])){
exch(arr, i, j);
if(MeasurableHelper.less((Comparable<E>) arr[j], arr[lo], null, null)){
MeasurableHelper.exch(arr, i, j, null);
i++;
}
j++;
}
exch(arr, i-1, lo);
MeasurableHelper.exch(arr, i-1, lo,null);
altQuickSort(arr, lo, i-2);
altQuickSort(arr, i, hi);
}
@ -40,16 +41,16 @@ import java.util.Comparator;
int i = lo;
int j = hi+1;
while(true){
while(less( arr[++i], arr[lo], cmp, metaData)){
while(MeasurableHelper.less( arr[++i], arr[lo], cmp, metaData)){
if(i == hi) break;
}
while(!less(arr[--j], arr[lo], cmp, metaData)){
while(!MeasurableHelper.less(arr[--j], arr[lo], cmp, metaData)){
if (j == lo ) break;
}
if(j<=i) break;
exch(arr, i , j, metaData);
MeasurableHelper.exch(arr, i , j, metaData);
}
exch(arr, j, lo, metaData);
MeasurableHelper.exch(arr, j, lo, metaData);
quickSort(arr, lo, j-1, cmp, metaData);
quickSort(arr, j+1, hi, cmp, metaData);
@ -70,4 +71,9 @@ import java.util.Comparator;
if (metaData != null)
metaData.endTime();
}
@Override
public String toString() {
return "Quick Sort";
}
}

View File

@ -0,0 +1,58 @@
package com.hithomelabs.princeton1.module7;
import com.hithomelabs.princeton1.module5.MeasurableHelper;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Comparator;
public class ThreeWayQuick<E> implements MeasurableSort<E>, MeasurableHelper {
@Override
public void sort(E[] arr) {
coreSortingLogic(arr, null, null);
}
private void coreSortingLogic(E[] arr, Comparator<E> cmp, SortingMetaData metaData) {
int N = arr.length;
threeWaySort(arr, 0, N - 1, cmp, metaData);
}
private void threeWaySort(E[] arr, int lo, int hi, Comparator<E> cmp, SortingMetaData metaData) {
if (hi <= lo)
return;
int k = hi;
int i = lo + 1;
int j = lo;
while (true) {
if (MeasurableHelper.less(arr[i], arr[j], cmp, metaData)) MeasurableHelper.exch(arr, i++, j++, metaData);
else if (MeasurableHelper.equals(arr[i],arr[j], cmp, metaData)) i++;
else MeasurableHelper.exch(arr, i, k--, metaData);
if (k < i) break;
}
threeWaySort(arr, lo, j - 1, cmp, metaData);
threeWaySort(arr, k + 1, hi, cmp, metaData);
}
@Override
public void sort(E[] arr, Comparator<E> cmp, SortingMetaData metaData) {
if(metaData != null){
metaData.startTime();
}
coreSortingLogic(arr, cmp, metaData);
if (metaData != null)
metaData.endTime();
}
@Override
public void sort(E[] arr, Comparator<E> cmp) {
coreSortingLogic(arr, cmp, null);
}
@Override
public String toString() {
return "Three Way Quick Sort";
}
}

View File

@ -34,7 +34,7 @@ class QuickTest {
}
@Test
@DisplayName("testing Quick sort default implementation")
@DisplayName("testing Quick sort alternate implementation")
public void testAltSort(){
for(int i = 0; i < 100; i++)

View File

@ -0,0 +1,54 @@
package com.hithomelabs.princeton1.module7;
import com.hithomelabs.princeton1.common.Apple;
import org.junit.jupiter.api.*;
import java.util.ArrayList;
import java.util.Random;
import static org.junit.jupiter.api.Assertions.*;
class ThreeWayQuickTest {
private ThreeWayQuick<Apple> quick;
private ArrayList<Apple> apples;
private Random random;
@BeforeEach
void setUp() {
quick = new ThreeWayQuick<Apple>();
apples = new ArrayList<Apple>();
random = new Random();
}
@Test
@DisplayName("testing Quick sort default implementation")
public void testSort(){
for(int i = 0; i < 100; i++)
apples.add(new Apple(random.nextInt(1000)));
Apple[] arr = apples.toArray(new Apple[apples.size()]);
quick.sort(arr);
apples.sort(null);
Apple[] sorted = apples.toArray(new Apple[apples.size()]);
Assertions.assertArrayEquals(sorted, arr);
}
@Test
@DisplayName("testing Comparator sort")
public void testComparatorSort(){
for(int i = 0; i < 100; i++)
apples.add(new Apple(random.nextInt(1000)));
Apple[] arr = apples.toArray(new Apple[apples.size()]);
quick.sort(arr, Apple.COMPARE_BY_SIZE);
apples.sort(Apple.COMPARE_BY_SIZE);
Apple[] sorted = apples.toArray(new Apple[apples.size()]);
Assertions.assertArrayEquals(sorted, arr);
}
@AfterEach
void tearDown() {
quick = null;
apples = null;
random = null;
}
}

21
module8/build.gradle Normal file
View File

@ -0,0 +1,21 @@
plugins {
id 'java'
}
group = 'com.hithomelabs.princeton1.module8'
version = 'unspecified'
repositories {
mavenCentral()
}
dependencies {
testImplementation platform('org.junit:junit-bom:5.10.0')
testImplementation 'org.junit.jupiter:junit-jupiter'
implementation project(':module5')
testImplementation project(':common')
}
test {
useJUnitPlatform()
}

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@ -0,0 +1,44 @@
package com.hithomelabs.princeton1.module8;
/*
* * Designing Heap as a wrapper class with static methods that perform sink and swim operations on underlying comparable[] array
* * Heap does not have any instance variables, instance variables shall be housed by, the implementation using heaps, like priority queues and heap sort
*/
import com.hithomelabs.princeton1.module5.MeasurableHelper;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Comparator;
public class Heap implements MeasurableHelper {
/*
* * Sink Node T with to it's appropriate place in a Heap of size N, if it's children exist and are greater
*/
public static <T> void sink(T[] arr, int root, int N, Comparator<T> cmp, SortingMetaData metaData){
// * Check if at least one child exists
while(2 * root <= N){
int j = 2 * root;
// * Check if the right child exists and is larger than the left child, if yes swap right and left child
if(j+1 <= N){
if (MeasurableHelper.less(arr[j], arr[j+1], cmp, metaData)) j++;
}
if (!MeasurableHelper.less(arr[root], arr[j], cmp, metaData)) break;
MeasurableHelper.exch(arr, root, j, metaData);
// * The root node has now sunken low, call sink recursively with new node to check if it sinks further
root = j;
}
}
// * * Swim if element is not root, and parent is lesser than node
public static <T extends Comparable<T>> void swim(T[] arr, int node, int N, Comparator<T> cmp, SortingMetaData metaData){
while(node > 1){
if(! MeasurableHelper.less(arr[node/2],arr[node], cmp, metaData)) break;
MeasurableHelper.exch(arr, node, node/2, metaData);
node = node/2;
}
}
}

View File

@ -0,0 +1,78 @@
package com.hithomelabs.princeton1.module8;
import com.hithomelabs.princeton1.module5.MeasurableHelper;
import com.hithomelabs.princeton1.module5.MeasurableSort;
import com.hithomelabs.princeton1.module5.SortingMetaData;
import java.util.Comparator;
public class HeapSort<E> implements MeasurableSort<E>, MeasurableHelper {
@Override
public void sort(E[] arr, Comparator<E> cmp, SortingMetaData metaData) {
int N = arr.length;
E[] heapArr = (E[]) new Object[N+1];
// * * to simplify we copy original array from
System.arraycopy(arr, 0, heapArr, 1, N);
// * * An array of size N holds a heap of size N-1
if (metaData != null)
metaData.startTime();
coreSortingLogic(heapArr, N, cmp, metaData);
if (metaData != null)
metaData.endTime();
System.arraycopy(heapArr, 1, arr, 0, N);
}
public static <T> void heapify(T[] arr){
int N = arr.length;
T[] heapArr = (T[]) new Object[N+1];
// * * to simplify we copy original array from
System.arraycopy(arr, 0, heapArr, 1, N);
// * * An array of size N holds a heap of size N-1
for (int i = N/2; i >= 1; i--)
Heap.sink(heapArr, i, N, null, null);
System.arraycopy(heapArr, 1, arr, 0, N);
}
private void coreSortingLogic(E[] arr, int N, Comparator<E> cmp, SortingMetaData metaData) {
// * * Converting array to max-heap an array in place
for (int i = N/2; i >= 1; i--)
Heap.sink(arr, i, N, cmp, metaData);
// * * After converting to max-heap, in every iteration remove the max element of the heap
while(N > 1){
MeasurableHelper.exch(arr, 1, N--, metaData);
Heap.sink(arr, 1, N, cmp, metaData);
}
}
@Override
public void sort(E[] arr, Comparator<E> cmp) {
int N = arr.length;
E[] heapArr = (E[]) new Object[N+1];
// * * to simplify we copy original array from
System.arraycopy(arr, 0, heapArr, 1, N);
// * * An array of size N holds a heap of size N-1
coreSortingLogic(heapArr, N, cmp, null);
System.arraycopy(heapArr, 1, arr, 0, N);
}
@Override
public void sort(E[] arr) {
int N = arr.length;
E[] heapArr = (E[]) new Object[N+1];
// * * to simplify we copy original array from
System.arraycopy(arr, 0, heapArr, 1, N);
// * * An array of size N holds a heap of size N-1
coreSortingLogic(heapArr, N,null, null);
System.arraycopy(heapArr, 1, arr, 0, N);
}
@Override
public String toString() {
return "Heap Sort";
}
}

View File

@ -0,0 +1,63 @@
package com.hithomelabs.princeton1.module8;
import com.hithomelabs.princeton1.common.Apple;
import org.junit.jupiter.api.*;
import java.util.ArrayList;
import java.util.Random;
import static org.junit.jupiter.api.Assertions.*;
class HeapSortTest {
private HeapSort<Apple> heap;
private ArrayList<Apple> apples;
private Random random;
@BeforeEach
void setUp() {
heap = new HeapSort<Apple>();
apples = new ArrayList<Apple>();
random = new Random();
}
@Test
@DisplayName("Sort a heap of a 100 random sized apples")
public void testSort(){
for(int i = 0; i < 100; i++)
apples.add(new Apple(random.nextInt(1000)));
Apple[] arr = apples.toArray(new Apple[apples.size()]);
heap.sort(arr);
apples.sort(null);
Apple[] sorted = apples.toArray(new Apple[apples.size()]);
Assertions.assertArrayEquals(sorted, arr);
}
@Test
@DisplayName("Sort a heap of a 100 random sized with Comparator")
public void testComparatorSort(){
for(int i = 0; i < 100; i++)
apples.add(new Apple(random.nextInt(1000)));
Apple[] arr = apples.toArray(new Apple[apples.size()]);
heap.sort(arr, Apple.COMPARE_BY_SIZE);
apples.sort(Apple.COMPARE_BY_SIZE);
Apple[] sorted = apples.toArray(new Apple[apples.size()]);
Assertions.assertArrayEquals(sorted, arr);
}
@Test
@DisplayName("Sort 100 apples in descending order")
public void testSortBorder(){
for(int i = 0; i < 100; i++)
apples.add(new Apple(100 - i));
Apple[] arr = apples.toArray(new Apple[apples.size()]);
heap.sort(arr);
apples.sort(null);
Apple[] sorted = apples.toArray(new Apple[apples.size()]);
Assertions.assertArrayEquals(sorted, arr);
}
@AfterEach
void tearDown() {
}
}

View File

@ -17,4 +17,5 @@ include 'module5'
include 'module6'
include 'common'
include 'module7'
include 'module8'