refactor: LineSweep
(#5398)
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package com.thealgorithms.others;
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import java.util.Arrays;
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import java.util.Comparator;
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/* Line Sweep algorithm can be used to solve range problems by first sorting the list of ranges
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* by the start value of the range in non-decreasing order and doing a "sweep" through the number
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* line(x-axis) by incrementing the start point by 1 and decrementing the end point+1 by 1 on the
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* number line.
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* An overlapping range is defined as (StartA <= EndB) AND (EndA >= StartB)
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* References
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* https://en.wikipedia.org/wiki/Sweep_line_algorithm
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* https://en.wikipedia.org/wiki/De_Morgan%27s_laws>
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/**
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* The Line Sweep algorithm is used to solve range problems efficiently. It works by:
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* 1. Sorting a list of ranges by their start values in non-decreasing order.
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* 2. Sweeping through the number line (x-axis) while updating a count for each point based on the ranges.
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*
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* An overlapping range is defined as:
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* - (StartA <= EndB) AND (EndA >= StartB)
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*
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* References:
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* - https://en.wikipedia.org/wiki/Sweep_line_algorithm
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* - https://en.wikipedia.org/wiki/De_Morgan%27s_laws
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*/
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public final class LineSweep {
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private LineSweep() {
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}
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/**
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* Find Maximum end point
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* param = ranges : Array of range[start,end]
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* return Maximum Endpoint
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* Finds the maximum endpoint from a list of ranges.
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*
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* @param ranges a 2D array where each element is a range represented by [start, end]
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* @return the maximum endpoint among all ranges
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*/
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public static int findMaximumEndPoint(int[][] ranges) {
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Arrays.sort(ranges, Comparator.comparingInt(a -> a[1]));
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Arrays.sort(ranges, Comparator.comparingInt(range -> range[1]));
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return ranges[ranges.length - 1][1];
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}
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/**
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* Find if any ranges overlap
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* param = ranges : Array of range[start,end]
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* return true if overlap exists false otherwise.
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* Determines if any of the given ranges overlap.
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*
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* @param ranges a 2D array where each element is a range represented by [start, end]
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* @return true if any ranges overlap, false otherwise
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*/
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public static boolean isOverlap(int[][] ranges) {
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if (ranges == null || ranges.length == 0) {
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return false;
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}
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int maximumEndPoint = findMaximumEndPoint(ranges);
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Arrays.sort(ranges, Comparator.comparingInt(a -> a[0]));
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int[] numberLine = new int[maximumEndPoint + 2];
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for (int[] range : ranges) {
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int start = range[0];
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int end = range[1];
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@ -44,12 +51,12 @@ public final class LineSweep {
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numberLine[end + 1] -= 1;
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}
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int current = 0;
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int overlaps = 0;
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for (int num : numberLine) {
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current += num;
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overlaps = Math.max(overlaps, current);
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int currentCount = 0;
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int maxOverlaps = 0;
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for (int count : numberLine) {
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currentCount += count;
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maxOverlaps = Math.max(maxOverlaps, currentCount);
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}
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return overlaps > 1;
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return maxOverlaps > 1;
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}
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}
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@ -1,30 +1,37 @@
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package com.thealgorithms.others;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import static org.junit.jupiter.api.Assertions.assertFalse;
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import static org.junit.jupiter.api.Assertions.assertTrue;
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import org.junit.jupiter.api.Test;
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import java.util.stream.Stream;
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import org.junit.jupiter.params.ParameterizedTest;
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import org.junit.jupiter.params.provider.Arguments;
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import org.junit.jupiter.params.provider.MethodSource;
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public class LineSweepTest {
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@Test
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void testForOverlap() {
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int[][] arr = {{0, 10}, {7, 20}, {15, 24}};
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assertTrue(LineSweep.isOverlap(arr));
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private record OverlapTestCase(int[][] ranges, boolean expected) {
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}
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@Test
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void testForNoOverlap() {
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int[][] arr = {{0, 10}, {11, 20}, {21, 24}};
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assertFalse(LineSweep.isOverlap(arr));
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private record MaximumEndPointTestCase(int[][] ranges, int expected) {
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}
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@Test
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void testForOverlapWhenEndAEqualsStartBAndViceVersa() {
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int[][] arr = {{0, 10}, {10, 20}, {21, 24}};
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assertTrue(LineSweep.isOverlap(arr));
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@ParameterizedTest
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@MethodSource("provideOverlapTestData")
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void testIsOverlap(OverlapTestCase testCase) {
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assertEquals(testCase.expected(), LineSweep.isOverlap(testCase.ranges()));
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}
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@Test
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void testForMaximumEndPoint() {
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int[][] arr = {{10, 20}, {1, 100}, {14, 16}, {1, 8}};
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assertEquals(100, LineSweep.findMaximumEndPoint(arr));
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private static Stream<Arguments> provideOverlapTestData() {
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return Stream.of(Arguments.of(new OverlapTestCase(new int[][] {{0, 10}, {7, 20}, {15, 24}}, true)), Arguments.of(new OverlapTestCase(new int[][] {{0, 10}, {11, 20}, {21, 24}}, false)), Arguments.of(new OverlapTestCase(new int[][] {{0, 10}, {10, 20}, {21, 24}}, true)),
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Arguments.of(new OverlapTestCase(new int[][] {{5, 10}}, false)), Arguments.of(new OverlapTestCase(new int[][] {{1, 5}, {1, 5}, {1, 5}}, true)), Arguments.of(new OverlapTestCase(new int[][] {{1, 1}, {2, 2}, {3, 3}}, false)), Arguments.of(new OverlapTestCase(new int[][] {}, false)));
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}
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@ParameterizedTest
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@MethodSource("provideMaximumEndPointTestData")
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void testFindMaximumEndPoint(MaximumEndPointTestCase testCase) {
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assertEquals(testCase.expected(), LineSweep.findMaximumEndPoint(testCase.ranges()));
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}
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private static Stream<Arguments> provideMaximumEndPointTestData() {
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return Stream.of(Arguments.of(new MaximumEndPointTestCase(new int[][] {{10, 20}, {1, 100}, {14, 16}, {1, 8}}, 100)));
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}
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}
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