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 * Simmetrics Core
 * %%
 * Copyright (C) 2014 - 2016 Simmetrics Authors
 * %%
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 * 
 *      http://www.apache.org/licenses/LICENSE-2.0
 * 
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
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 * See the License for the specific language governing permissions and
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package org.simmetrics.metrics;

import static com.google.common.base.Preconditions.checkArgument;
import static com.google.common.base.Preconditions.checkNotNull;
import static java.lang.Math.max;
import static java.lang.Math.min;
import static org.simmetrics.metrics.Math.max;

import org.simmetrics.StringMetric;
import org.simmetrics.metrics.functions.MatchMismatch;
import org.simmetrics.metrics.functions.Substitution;

/**
 * Applies the Smith-Waterman algorithm to calculate the similarity between two
 * strings. This implementation uses optimizations described in Osamu Gotoh
 * (1982). "An improved algorithm for matching biological sequences". Journal of
 * molecular biology 162: 705" and uses constant space and quadratic time.
 * 
 * 

* This class is immutable and thread-safe if its substitution functions are. * * @see NeedlemanWunch * @see SmithWaterman * @see Wikipedia * - Smith-Waterman algorithm * */ public final class SmithWatermanGotoh implements StringMetric { private static final Substitution MATCH_1_MISMATCH_MINUS_2 = new MatchMismatch( 1.0f, -2.0f); private final float gapValue; private Substitution substitution; /** * Constructs a new Smith Waterman metric. Gap penalty is -0.5, mismatch * penalty -2.0 and a matching score 1.0. * */ public SmithWatermanGotoh() { this(-0.5f, MATCH_1_MISMATCH_MINUS_2); } /** * Constructs a new Smith Waterman metric. * * @param gapValue * a non-positive gap penalty * @param substitution * a substitution function */ public SmithWatermanGotoh(float gapValue, Substitution substitution) { checkArgument(gapValue <= 0.0f); checkNotNull(substitution); this.gapValue = gapValue; this.substitution = substitution; } @Override public float compare(final String a, final String b) { if (a.isEmpty() && b.isEmpty()) { return 1.0f; } if (a.isEmpty() || b.isEmpty()) { return 0.0f; } float maxDistance = min(a.length(), b.length()) * max(substitution.max(), gapValue); return smithWatermanGotoh(a, b) / maxDistance; } private float smithWatermanGotoh(final String s, final String t) { float[] v0 = new float[t.length()]; float[] v1 = new float[t.length()]; float max = v0[0] = max(0, gapValue, substitution.compare(s, 0, t, 0)); for (int j = 1; j < v0.length; j++) { v0[j] = max(0, v0[j - 1] + gapValue, substitution.compare(s, 0, t, j)); max = max(max, v0[j]); } // Find max for (int i = 1; i < s.length(); i++) { v1[0] = max(0, v0[0] + gapValue, substitution.compare(s, i, t, 0)); max = max(max, v1[0]); for (int j = 1; j < v0.length; j++) { v1[j] = max(0, v0[j] + gapValue, v1[j - 1] + gapValue, v0[j - 1] + substitution.compare(s, i, t, j)); max = max(max, v1[j]); } for (int j = 0; j < v0.length; j++) { v0[j] = v1[j]; } } return max; } @Override public String toString() { return "SmithWatermanGotoh [substitution=" + substitution + ", gapValue=" + gapValue + "]"; } }





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