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Java Array Gallop Search
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/* | |
* Copyright (c) 2018 Patrick Sharp | |
* | |
* Permission is hereby granted, free of charge, to any person obtaining | |
* a copy of this software and associated documentation files (the | |
* "Software"), to deal in the Software without restriction, including | |
* without limitation the rights to use, copy, modify, merge, publish, | |
* distribute, sublicense, and/or sell copies of the Software, and to | |
* permit persons to whom the Software is furnished to do so, subject to | |
* the following conditions: | |
* | |
* The above copyright notice and this permission notice shall be | |
* included in all copies or substantial portions of the Software. | |
* | |
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, | |
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF | |
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND | |
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE | |
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION | |
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION | |
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | |
* | |
* Modified using code from https://github.com/adam-ho/misc/blob/master/searchPerformance/src/main/java/com/search/Gallop.java | |
*/ | |
public class ArraySearchUtils { | |
/* | |
* assuming guess is close galloping could take less time than binary search | |
* useful for searches that may need to be done as part of a loop where the | |
* previous index found is close to the next index in question | |
*/ | |
public static double searchWithGuess(double[] a, double key, int guessIndex){ | |
if(guessIndex < 0){ | |
return Arrays.binarySearch(a, x); | |
}else{ | |
boolean forward = guessIndex != a.length && a[guessIndex] <= x; | |
if(forward) return gallopSearch(matrix[0], guessIndex, a.length, x, true); | |
else return gallopSearch(a, 0, guessIndex, x, false); | |
} | |
} | |
/* | |
* gallop to or past key value, then binary search remaining interval | |
* better than binary search when key index is close to start index | |
* | |
* gallop: O(log(n)) | |
* binary search: O(log(n)) | |
* together: O(log(n)) | |
*/ | |
public static int gallopSearch(final double[] arr, final int fromIndex, final int toIndex, final double key, boolean forward){ | |
int currentIndex = forward ? fromIndex : (toIndex - 1); | |
double currentValue = arr[currentIndex]; | |
if(forward){ | |
if(key < currentValue) return -fromIndex - 1; | |
for(int jump = 1; ; jump *= 2){ | |
if(currentValue == key) return currentIndex; | |
int nextIndex = currentIndex + jump; | |
if(toIndex <= nextIndex) return Arrays.binarySearch(arr, currentIndex, toIndex, key); | |
double nextValue = arr[nextIndex]; | |
if(key < nextValue) return Arrays.binarySearch(arr, currentIndex, nextIndex, key); | |
currentIndex = nextIndex; | |
currentValue = nextValue; | |
} | |
}else{ | |
if(currentValue < key) return -toIndex - 1; | |
for(int jump = -1; ; jump *= 2){ | |
if(currentValue == key) return currentIndex; | |
int nextIndex = currentIndex + jump; | |
if(nextIndex < fromIndex) return Arrays.binarySearch(arr, fromIndex, currentIndex, key); | |
double nextValue = arr[nextIndex]; | |
if(nextValue < key) return Arrays.binarySearch(arr, nextIndex, currentIndex, key); | |
currentIndex = nextIndex; | |
currentValue = nextValue; | |
} | |
} | |
} | |
} |
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