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/*
* Copyright (c) "Neo4j"
* Neo4j Sweden AB [http://neo4j.com]
*
* This file is part of Neo4j.
*
* Neo4j is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see .
*/
package org.neo4j.gds.similarity.knn.metrics;
import java.util.function.IntToDoubleFunction;
/**
* Here we calculate Euclidean similarity metrics using Euclidean dictance as described in e.g.
* https://en.wikipedia.org/wiki/Euclidean_distance
*
* We specifically calculate the Euclidean squared distance for the overlap of the arrays, potentially ignoring the
* tail of one of them.
*
* We then normalise this squared distance in order to clamp the number into the range (0,1] so that the metric can be
* used for comparisons up stream.
*/
public final class Euclidean {
private Euclidean() {}
public static double floatMetric(float[] left, float[] right) {
return compute(
Math.min(left.length, right.length),
i -> left[i],
i -> right[i]
);
}
public static double doubleMetric(double[] left, double[] right) {
return compute(
Math.min(left.length, right.length),
i -> left[i],
i -> right[i]
);
}
private static double compute(int len, IntToDoubleFunction left, IntToDoubleFunction right) {
var result = 0D;
for (int i = 0; i < len; i++) {
double delta = left.applyAsDouble(i) - right.applyAsDouble(i);
result += delta * delta;
}
return 1.0 / (1.0 + Math.sqrt(result));
}
}
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