FilesExpand file tree

master

/

TernarySearch.java

Copy path

Blame

More file actions

Blame

More file actions

Latest commit

 

History

History

History

97 lines (82 loc) · 3.17 KB

master

/

TernarySearch.java

Copy path

Top

File metadata and controls

• Code
• Blame

97 lines (82 loc) · 3.17 KB

Raw

Copy raw file

Download raw file

Open symbols panel

Edit and raw actions

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

package Searches;

import static java.lang.String.format;

import java.util.Arrays;

import java.util.Random;

import java.util.stream.Stream;

/**

* A ternary search algorithm is a technique in computer science for finding the minimum or maximum

* of a unimodal function The algorithm determines either that the minimum or maximum cannot be in

* the first third of the domain or that it cannot be in the last third of the domain, then repeats

* on the remaining third.

*

* <p>Worst-case performance Θ(log3(N)) Best-case performance O(1) Average performance Θ(log3(N))

* Worst-case space complexity O(1)

*

* @author Podshivalov Nikita (https://github.com/nikitap492)

* @see SearchAlgorithm

* @see IterativeBinarySearch

*/

public class TernarySearch implements SearchAlgorithm {

/**

* @param arr The **Sorted** array in which we will search the element.

* @param value The value that we want to search for.

* @return The index of the element if found. Else returns -1.

*/

@Override

public <T extends Comparable<T>> int find(T[] arr, T value) {

return ternarySearch(arr, value, 0, arr.length - 1);

}

/**

* @param arr The **Sorted** array in which we will search the element.

* @param key The value that we want to search for.

* @param start The starting index from which we will start Searching.

* @param end The ending index till which we will Search.

* @return Returns the index of the Element if found. Else returns -1.

*/

private <T extends Comparable<T>> int ternarySearch(T[] arr, T key, int start, int end) {

if (start > end) {

return -1;

}

/* First boundary: add 1/3 of length to start */

int mid1 = start + (end - start) / 3;

/* Second boundary: add 2/3 of length to start */

int mid2 = start + 2 * (end - start) / 3;

if (key.compareTo(arr[mid1]) == 0) {

return mid1;

} else if (key.compareTo(arr[mid2]) == 0) {

return mid2;

}

/* Search the first (1/3) rd part of the array.*/

else if (key.compareTo(arr[mid1]) < 0) {

return ternarySearch(arr, key, start, --mid1);

}

/* Search 3rd (1/3)rd part of the array */

else if (key.compareTo(arr[mid2]) > 0) {

return ternarySearch(arr, key, ++mid2, end);

}

/* Search middle (1/3)rd part of the array */

else {

return ternarySearch(arr, key, mid1, mid2);

}

}

public static void main(String[] args) {

// just generate data

Random r = new Random();

int size = 100;

int maxElement = 100000;

Integer[] integers =

Stream.generate(() -> r.nextInt(maxElement)).limit(size).sorted().toArray(Integer[]::new);

// the element that should be found

Integer shouldBeFound = integers[r.nextInt(size - 1)];

TernarySearch search = new TernarySearch();

int atIndex = search.find(integers, shouldBeFound);

System.out.println(

format(

"Should be found: %d. Found %d at index %d. An array length %d",

shouldBeFound, integers[atIndex], atIndex, size));

int toCheck = Arrays.binarySearch(integers, shouldBeFound);

System.out.println(

format(

"Found by system method at an index: %d. Is equal: %b", toCheck, toCheck == atIndex));

}

}