From 341f00af62ff7dcc78856307e200a09586d8f53b Mon Sep 17 00:00:00 2001
From: criscuol <alexis.criscuolo@pasteur.fr>
Date: Mon, 1 Jun 2020 14:09:39 +0200
Subject: [PATCH] 0.2

---
 README.md           |  23 ++--
 Technical.Notes.pdf | Bin 439697 -> 447063 bytes
 src/MSTclust.java   | 248 +++++++++++++-------------------------------
 3 files changed, 87 insertions(+), 184 deletions(-)

diff --git a/README.md b/README.md
index e5d5100..0d87617 100644
--- a/README.md
+++ b/README.md
@@ -48,28 +48,31 @@ Launch _MSTclust_ without option to read the following documentation:
 
  OPTIONS:
 
- -i <infile>    input file containing  either tab-delimited  profiles or a
+ -i <infile>    input file  containing  either tab-delimited  profiles or a
                 lower-triangular distance matrix (mandatory)
  -o <basenmae>  basename for output files (mandatory)
  -r <string>    selecting only specified rows (default: "1-")
- -l <string>    (input tab-delimited profiles) field(s) containing profile
+ -l <string>    (input tab-delimited profiles)  field(s) containing profile
                 labels (default: "1")
- -p <string>    (input tab-delimited profiles)  fields containing profiles
+ -p <string>    (input tab-delimited profiles)  fields  containing profiles
                 (default: "2-")
- -e <float>     (input tab-delimited profiles)  maximum allowed proportion
+ -e <float>     (input tab-delimited profiles)  maximum allowed  proportion
                 of empty entries per profile (default: 0.25)
  -c <float>     inclusive cutoff to define cluster(s) (default: not set)
- -S <integer>   seed value for data perturbation  and subsampling analyses
+ -g <integer>   generalized  mean   exponent   for  computing  silhouettes;
+                negative or positive infinity can be set using -inf or inf,
+                respectively (default: 1  i.e. arithmetic mean)
+ -S <integer>   seed value for  data perturbation  and subsampling analyses
                 (default: 0)
- -L <integer>   profile length  to carry  out data  perturbation  analysis
+ -L <integer>   profile length  to  carry out  data  perturbation  analysis
                 (default: not set)
- -B <integer>   number of  bins to  carry out  data  subsampling  analyses
+ -B <integer>   number  of  bins to  carry out  data  subsampling  analyses
                 (default: not set)
- -R <integer>   number of replicates for data perturbation and subsampling
+ -R <integer>   number of replicates for  data perturbation and subsampling
                 analyses (default: 100)
- -h             writing a single-linkage  hierarchical classification tree
+ -h             writing a  single-linkage  hierarchical classification tree
                 into an output file (default: not set)
- -m             writing  a  minimum  spanning  tree  into an  output  file
+ -m             writing  a  minimum  spanning  tree  into  an  output  file
                 (default: not set)
 ```
 
diff --git a/Technical.Notes.pdf b/Technical.Notes.pdf
index 36111b14ac9179bcba3e94527e32dda69d4067eb..4bb66486c506f028b923280d1da45b3f73c34a50 100644
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diff --git a/src/MSTclust.java b/src/MSTclust.java
index ff72b90..e2c7a3f 100644
--- a/src/MSTclust.java
+++ b/src/MSTclust.java
@@ -26,19 +26,29 @@
 
   ########################################################################################################
 */
+/*
+  ########################################################################################################
+  ## v0.2.200601ac
+  +  new option -g to compute silhouettes using generalized mean with any integer exponent
+  ########################################################################################################
+*/
+
 import java.io.*;
 import java.util.*;
 
 public class MSTclust {
 
     //### constants  ###############################################################################################
-    final static String VERSION = "0.1.200523ac";
+    final static String VERSION = "0.2.200528ac";
     final static String NOTHING = "N.o./.T.h.I.n.G";
-    final static short EMPTY = 0; //Short.MIN_VALUE;;
+    final static short EMPTY = 0;
     final static String BLANK = "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ";
-    final static double EPSILON = 0.000000001;
+    final static double EPSILON = 0.000000001; //## NOTE: little constant to increase the cutoff value
+    final static double DELTA = 0.00000000001; //## NOTE: little constant to deal with zero-values when computing geometric means 
     final static double CI_MIN = 0.025;
     final static double CI_MAX = 0.975;
+    final static int NINF = Integer.MIN_VALUE;
+    final static int PINF = Integer.MAX_VALUE;
 
     //### io  ######################################################################################################
     static BufferedReader in;
@@ -56,6 +66,7 @@ public class MSTclust {
     static boolean hctree;            // option -h ; hierarchical tree (default: not set)
     static boolean mstree;            // option -m ; minimum spanning tree (default: not set)
     static double cutoff;             // option -c ; cutoff value for clustering (default: -1)
+    static int exponent;              // option -g ; generalized mean exponent value for estimating silhouettes (default: 1)
     static boolean outtab;            // option -t ; to output stats in tab-delimited format (default: not set)
     static int nloc;                  // option -L ; no. loci for noising (default: 0)
     static int bins;                  // option -B ; no. bins for subsampling (default: 0)
@@ -115,28 +126,31 @@ public class MSTclust {
 	    System.out.println("");
 	    System.out.println(" OPTIONS:");
 	    System.out.println("");
-	    System.out.println(" -i <infile>    input file containing  either tab-delimited  profiles or a");
+	    System.out.println(" -i <infile>    input file  containing  either tab-delimited  profiles or a");
 	    System.out.println("                lower-triangular distance matrix (mandatory)");
 	    System.out.println(" -o <basenmae>  basename for output files (mandatory)");
 	    System.out.println(" -r <string>    selecting only specified rows (default: \"1-\")");
-	    System.out.println(" -l <string>    (input tab-delimited profiles) field(s) containing profile");
+	    System.out.println(" -l <string>    (input tab-delimited profiles)  field(s) containing profile");
 	    System.out.println("                labels (default: \"1\")");
-	    System.out.println(" -p <string>    (input tab-delimited profiles)  fields containing profiles");
+	    System.out.println(" -p <string>    (input tab-delimited profiles)  fields  containing profiles");
 	    System.out.println("                (default: \"2-\")");
-	    System.out.println(" -e <float>     (input tab-delimited profiles)  maximum allowed proportion");
+	    System.out.println(" -e <float>     (input tab-delimited profiles)  maximum allowed  proportion");
 	    System.out.println("                of empty entries per profile (default: 0.25)");
 	    System.out.println(" -c <float>     inclusive cutoff to define cluster(s) (default: not set)");
-	    System.out.println(" -S <integer>   seed value for data perturbation  and subsampling analyses");
+	    System.out.println(" -g <integer>   generalized  mean   exponent   for  computing  silhouettes;");
+	    System.out.println("                negative or positive infinity can be set using -inf or inf,");
+	    System.out.println("                respectively (default: 1  i.e. arithmetic mean)");
+	    System.out.println(" -S <integer>   seed value for  data perturbation  and subsampling analyses");
 	    System.out.println("                (default: 0)");
-	    System.out.println(" -L <integer>   profile length  to carry  out data  perturbation  analysis");
+	    System.out.println(" -L <integer>   profile length  to  carry out  data  perturbation  analysis");
 	    System.out.println("                (default: not set)");
-	    System.out.println(" -B <integer>   number of  bins to  carry out  data  subsampling  analyses");
+	    System.out.println(" -B <integer>   number  of  bins to  carry out  data  subsampling  analyses");
 	    System.out.println("                (default: not set)");
-	    System.out.println(" -R <integer>   number of replicates for data perturbation and subsampling");
+	    System.out.println(" -R <integer>   number of replicates for  data perturbation and subsampling");
 	    System.out.println("                analyses (default: 100)");
-	    System.out.println(" -h             writing a single-linkage  hierarchical classification tree");
+	    System.out.println(" -h             writing a  single-linkage  hierarchical classification tree");
 	    System.out.println("                into an output file (default: not set)");
-	    System.out.println(" -m             writing  a  minimum  spanning  tree  into an  output  file");
+	    System.out.println(" -m             writing  a  minimum  spanning  tree  into  an  output  file");
 	    System.out.println("                (default: not set)");
 	    System.out.println("");
 	    System.exit(0);
@@ -156,26 +170,32 @@ public class MSTclust {
 	hctree = false;              // option -h
 	mstree = false;              // option -m
 	cutoff = -1;                 // option -c
+	exponent = 1;                // option -g
 	nloc = 0;                    // option -L
 	bins = 0;                    // option -B
 	reps = 100;                  // option -R
 	seed = 0;                    // option -S
 	o = -1;
 	while ( ++o < args.length ) {
-	    if ( args[o].equals("-i") ) { infile = new File(args[++o]); continue; }
-	    if ( args[o].equals("-o") ) { basename = args[++o];         continue; }
-	    if ( args[o].equals("-l") ) { lfld = args[++o];             continue; }
-	    if ( args[o].equals("-p") ) { pfld = args[++o];             continue; }
-	    if ( args[o].equals("-r") ) { rows = args[++o];             continue; }
-	    if ( args[o].equals("-t") ) { outtab = true;                continue; }
-	    if ( args[o].equals("-h") ) { hctree = true;                continue; }
-	    if ( args[o].equals("-m") ) { mstree = true;                continue; }
+	    if ( args[o].equals("-i") ) { infile = new File(args[++o]);                                                                                                                            continue; }
+	    if ( args[o].equals("-o") ) { basename = args[++o];                                                                                                                                    continue; }
+	    if ( args[o].equals("-l") ) { lfld = args[++o];                                                                                                                                        continue; }
+	    if ( args[o].equals("-p") ) { pfld = args[++o];                                                                                                                                        continue; }
+	    if ( args[o].equals("-r") ) { rows = args[++o];                                                                                                                                        continue; }
+	    if ( args[o].equals("-t") ) { outtab = true;                                                                                                                                           continue; }
+	    if ( args[o].equals("-h") ) { hctree = true;                                                                                                                                           continue; }
+	    if ( args[o].equals("-m") ) { mstree = true;                                                                                                                                           continue; }
 	    if ( args[o].equals("-e") ) { try { missp = Double.parseDouble(args[++o]); }  catch ( NumberFormatException e ) { System.err.println("incorrect value (option -e)"); System.exit(1); } continue; }
 	    if ( args[o].equals("-c") ) { try { cutoff = Double.parseDouble(args[++o]); } catch ( NumberFormatException e ) { System.err.println("incorrect value (option -c)"); System.exit(1); } continue; }
 	    if ( args[o].equals("-L") ) { try { nloc = Integer.parseInt(args[++o]); }     catch ( NumberFormatException e ) { System.err.println("incorrect value (option -L)"); System.exit(1); } continue; }
 	    if ( args[o].equals("-B") ) { try { bins = Integer.parseInt(args[++o]); }     catch ( NumberFormatException e ) { System.err.println("incorrect value (option -B)"); System.exit(1); } continue; }
 	    if ( args[o].equals("-R") ) { try { reps = Integer.parseInt(args[++o]); }     catch ( NumberFormatException e ) { System.err.println("incorrect value (option -R)"); System.exit(1); } continue; }
 	    if ( args[o].equals("-S") ) { try { seed = Long.parseLong(args[++o]); }       catch ( NumberFormatException e ) { System.err.println("incorrect value (option -S)"); System.exit(1); } continue; }
+	    if ( args[o].equals("-g") ) {
+		line=args[++o].toLowerCase();
+		if ( line.equals("inf") || line.equals("+inf") ) { exponent = PINF;                                                                                                                continue; }
+		if ( line.equals("-inf") )                       { exponent = NINF;                                                                                                                continue; }
+		try { exponent = Integer.parseInt(line); }                                catch ( NumberFormatException e ) { System.err.println("incorrect value (option -g)"); System.exit(1); } continue; }
 	}
 	//### testing mandatory options -i, and -o
 	if ( infile.toString().equals(NOTHING) ) { System.err.println("input file not specified (option -i)");             System.exit(1); }
@@ -409,7 +429,7 @@ public class MSTclust {
 	//##########################################################################################################
 	//### estimating silhouette indexes and sorting clusters                                                 ###
 	//##########################################################################################################
-	silh = silhouette(clust, dm);
+	silh = silhouette(clust, dm, exponent);
 	silhouette = avg(silh);
 	outcaption = outcaption.append("\tsilhouette");                                      //## NOTE: updating outtab
 	outstats = outstats.append(String.format(Locale.US, "\t%.6f", silhouette));          //## NOTE: updating outtab
@@ -530,7 +550,7 @@ public class MSTclust {
 		sdm = noisedm(dm, nloc, aurand);          // noised distance matrix
 		noiclust = mstc(sdm, cutoff);             // clustering from the noised distances
 		mm = abcd(contingency(noiclust, clust));  // mismatch matrix between the two partitions: noised vs. original
-		rsi[r] = avg(silhouette(noiclust, sdm));
+		rsi[r] = avg(silhouette(noiclust, sdm, exponent));
 		aw = awal(mm);
 		rw1[r] = aw[0];
 		rw2[r] = aw[1];
@@ -585,7 +605,7 @@ public class MSTclust {
 		clustsub = mstc(sdm, cutoff);                 // clustering of the subsampled elements
 		subclust = subpartition(clust, subsample);    // restriction of the original clustering to the subsample elements
 		mm = abcd(contingency(clustsub, subclust));   // mismatch matrix between the two partitions, clustsub vs. original
-		rsi[r] = (1 + avg(silhouette(clustsub, sdm))) / 2;  //## NOTE: AUC are computed on (silhouette+1)/2, therefore varying between 0 and 1
+		rsi[r] = (1 + avg(silhouette(clustsub, sdm, exponent))) / 2;  //## NOTE: AUC are computed on (silhouette+1)/2, therefore varying between 0 and 1
 		aw = awal(mm);
 		rw1[r] = aw[0];
 		rw2[r] = aw[1];
@@ -678,12 +698,6 @@ public class MSTclust {
     final static float dp(final short[] p1, final short[] p2) {
 	int a1, a2, m = ((a1=p1.length) < (a2=p2.length)) ? a1 : a2, dn = m, up = 0;
 	while ( --m >= 0 ) up += ( (a1=p1[m]) == EMPTY || (a2=p2[m]) == EMPTY ) ? (--dn) * 0 : ( a1 != a2 ) ? 0b1 : 0;              //## fast
-	//while ( --m >= 0 ) dn = ( (a1=p1[m]) == EMPTY || (a2=p2[m]) == EMPTY ) ? (--dn) : ( a1 == a2 ) ? dn : dn + (++up) * 0;    //## slow
-	//while ( --m >= 0 ) dn -= ( (a1=p1[m]) == EMPTY || (a2=p2[m]) == EMPTY ) ? 0b1 : ( a1 != a2 ) ? (++up) * 0 : 0;            //## less fast
-	//while ( --m >= 0 ) up += ( ( ( (a1=p1[m]) != EMPTY && (a2=p2[m]) != EMPTY ) || --dn < 0 ) && a1 != a2 ) ? 0b1 : 0;        //## less fast
-	//while ( --m >= 0 && ( ( (a1=p1[m]) == EMPTY || (a2=p2[m]) == EMPTY ) : --dn > 0 : ( a1 != a2 ) ? ++up > 0 : true ) ) {}   //## quite fast
-	//while ( --m >= 0  &&  ( ( ( (a1=p1[m]) == EMPTY || (a2=p2[m]) == EMPTY ) && --dn > 0 ) || ( a1 == a2 ) || ++up > 0 ) ) {} //## less fast
-	//while ( --m >= 0 && ( (a1=p1[m]) != EMPTY && (a2=p2[m]) != EMPTY && ( a1 == a2 || ++up > 0 ) || --dn > 0 ) ) {}           //## quite fast
 	return (float) (up / (double) dn);
     }    
 	
@@ -807,32 +821,6 @@ public class MSTclust {
 	return dn;
     }
     
-    // returns a matrix of noised distances from the specified distance matrix dm
-    // noised distances dn ~ N(dm, vm), where:
-    // + dm is the original pairwise distance estimated from the specified no. loci (lgt)
-    // + vm = dm(1-dm)/lgt
-    // therefore dn = dm + sqrt(vm) * x, where x ~ N(0, 1)
-    final static float[][] noisedm(final float[][] dm, final int lgt, final long seed) {
-	Random rand = new Random(seed);
-	int n = dm.length;
-	float[][] dn = new float[n][];
-	double dij, d, se; int j, i = n;
-	while ( (j=--i) >= 0 ) {
-	    dn[i] = new float[i];
-	    while ( --j >= 0 ) 
-		if ( (dij=dm[i][j]) != 0 ) {
-		    se = Math.sqrt(dij*(1-dij)/lgt);
-		    d = dij + se * rand.nextGaussian(); if ( d >= 0 ) { dn[i][j] = (float) d; continue; }
-		    d = dij + se * rand.nextGaussian(); if ( d >= 0 ) { dn[i][j] = (float) d; continue; }
-		    d = dij + se * rand.nextGaussian(); if ( d >= 0 ) { dn[i][j] = (float) d; continue; }
-		    d = dij + se * rand.nextGaussian(); if ( d >= 0 ) { dn[i][j] = (float) d; continue; }
-		    d = dij + se * rand.nextGaussian(); if ( d >= 0 ) { dn[i][j] = (float) d; continue; }
-		    dn[i][j] = 0;
-		}
-	}
-	return dn;
-    }
-        
     // returns an array containing rate*size sorted integers randomly drawn in [0,size[
     final static int[] subsample(final int size, final double rate, final long seed) {
 	Random rand = new Random(seed);
@@ -885,31 +873,50 @@ public class MSTclust {
 	return cs;
     }    
 
-    // returns the silhouette index for every element for the specified partition array from the specified distance matrix
-    final static double[] silhouette(final int[] partition, final float[][] dm) {
+    // returns the silhouette index for every element using the generalized mean for the specified partition array from the specified distance matrix
+    final static double[] silhouette(final int[] partition, final float[][] dm, final int exponent) {
 	int n = partition.length;        // no. elements
 	double[] s = new double[n];
 	int k = psize(partition);        // no. classes
 	if ( k == 1 ) return s;
 	int[] csize = csizes(partition); // size of each class
-	double[][] d = new double[n][k]; // d[i][c] = avg distance between element i and class c
-	double ai, bi, dic;
-	int c, ci, cj, j, i = n;
+	double[][] d = new double[n][k]; // d[i][c] = mean distance between element i and class c
+	double ai, bi, dic; int c, ci, cj, j, i = n;
 	while ( (j=--i) >= 0 ) {
+	    switch ( exponent ) {
+	    case NINF: Arrays.fill(d[i], Double.MAX_VALUE); break;
+	    case PINF: Arrays.fill(d[i], Double.MIN_VALUE); break;
+	    }
 	    ci = partition[i];
 	    while ( --j >= 0 ) {
-		cj = partition[j];
-		d[i][cj] += (dic=dm[i][j]);
-		d[j][ci] += dic;
+		cj = partition[j]; dic = dm[i][j];
+		switch ( exponent ) {
+		case -1:   d[i][cj] += (ai=(1.0/dic));                    d[j][ci] += ai;                                break; //## NOTE: harmonic mean
+	      //case 0:    d[i][cj] *= dic;                               d[j][ci] *= dic;                               break; //## NOTE: geometric mean
+		case 0:    d[i][cj] += (ai=Math.log(dic+DELTA));          d[j][ci] += ai;                                break; //## NOTE: geometric mean
+		case 1:    d[i][cj] += dic;                               d[j][ci] += dic;                               break; //## NOTE: arithmetic mean
+		case 2:    d[i][cj] += (ai=(dic*dic));                    d[j][ci] += ai;                                break; //## NOTE: quadratic mean
+		case NINF: d[i][cj] = ( (ai=d[i][cj]) < dic ) ? ai : dic; d[j][ci] = ( (ai=d[j][ci]) < dic ) ? ai : dic; break; //## NOTE: minimum
+		case PINF: d[i][cj] = ( (ai=d[i][cj]) > dic ) ? ai : dic; d[j][ci] = ( (ai=d[j][ci]) > dic ) ? ai : dic; break; //## NOTE: maximum
+		default:   d[i][cj] += (ai=Math.pow(dic, exponent));      d[j][ci] += ai;                                break; //## NOTE: power mean
+		}
 	    }
 	}
 	i = n;
 	while ( --i >= 0 ) {
 	    ci = partition[i];
 	    if ( csize[ci] == 1 ) continue;
-	    ai = d[i][ci] / (csize[ci] -1);
-	    bi = Double.POSITIVE_INFINITY; c = k;
-	    while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=d[i][c]/csize[c]) ) ? dic : bi;
+	    ai = bi = Double.POSITIVE_INFINITY; c = k;
+	    switch ( exponent ) {
+	    case -1:   ai = (csize[ci]-1) / d[i][ci];                       while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=(csize[c]/d[i][c])) )                       ? dic : bi; break; //## NOTE: harmonic mean
+	  //case 0:    ai = Math.pow(d[i][ci], 1.0/(csize[ci]-1));          while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=Math.pow(d[i][c], 1.0/csize[c])) )          ? dic : bi; break; //## NOTE: geometric mean
+	    case 0:    ai = Math.exp(d[i][ci]/(csize[ci]-1)) - DELTA;       while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=(Math.exp(d[i][c]/csize[c])-DELTA)) )       ? dic : bi; break; //## NOTE: geometric mean
+	    case 1:    ai = d[i][ci] / (csize[ci]-1);                       while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=(d[i][c]/csize[c])) )                       ? dic : bi; break; //## NOTE: arithmetic mean
+	    case 2:    ai = Math.sqrt(d[i][ci] / (csize[ci]-1));            while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=Math.sqrt(d[i][c]/csize[c])) )              ? dic : bi; break; //## NOTE: quadratic mean
+	    case NINF:
+	    case PINF: ai = d[i][ci];                                       while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=d[i][c]) )                                  ? dic : bi; break; //## NOTE: maximum/minimum
+	    default:   ai = Math.pow(d[i][ci]/(csize[ci]-1), 1.0/exponent); while ( --c >= 0 ) if ( c != ci ) bi = ( bi > (dic=Math.pow(d[i][c]/csize[c], 1.0/exponent)) ) ? dic : bi; break; //## NOTE: power mean
+	    }
 	    s[i] = (ai == bi) ? 0 : (ai < bi) ? 1 - ai/bi : bi/ai - 1;
 	}
 	csize = null;
@@ -1001,112 +1008,5 @@ public class MSTclust {
 	return auc(x, y) / ( x[x.length-1] - x[0] );
     }
 	
-    
-    /*
-    // computes a single-linkage clustering with specified cutoff
-    // returns the partitions within an array
-    final static int[] slinkHC(final float[][] dm, final double cutoff) {
-	int i, n = dm.length;                                                // size
-	float[][] d = Arrays.copyOf(dm, n);                                  // dissimilarity copy
-	BitSet b = new BitSet(n); b.set(0, n);                               // true if cluster c(i) is non-empty
-	ArrayList<TreeSet<Integer>> c = new ArrayList<TreeSet<Integer>>(n);  // clusters
-	int[] p = new int[n];                                                // partition array
-	i = -1; while ( ++i < n ) { c.add(new TreeSet<Integer>()); c.get(i).add(i); }
-	double dij, min, minmin = 0; int j, x = -1, y = -1;
-	double up, dn; int z;
-	while ( --n > 0 ) {
-	    //### searching for x,y to agglomerate
-	    min = cutoff;
-	    i = -1;
-	    while ( (i=b.nextSetBit(++i)) != (j=-1)  &&  min > minmin ) 
-		while ( (j=b.nextSetBit(++j)) < i  &&  min > minmin )
-		    min = ( d[i][j] < min ) ? d[x=i][y=j] : min;
-	    minmin = ( min >= minmin ) ? min : minmin;
-	    if ( min == cutoff ) break;
-	    //### updating d between x+y and every i != x,y
-	    i = -1;
-	    while ( (i=b.nextSetBit(++i)) != -1 )
-		if ( i != x && i != y ) d[(i<x)?x:i][(i<x)?i:x] = Math.min(d[(i<x)?x:i][(i<x)?i:x], d[(i<y)?y:i][(i<y)?i:y]);
-	    //### adding y into x, and clearing y
-	    c.get(x).addAll(c.get(y));
-	    b.clear(y);
-	    //c.get(y).clear(); // <= useless
-	}
-	i = x = -1;
-	while ( (i=b.nextSetBit(++i)) != -1 && ++x >= 0 ) 
-	    for (Integer e: c.get(i)) p[e] = x;
-	b = null;
-	c = null;
-	d = null;
-	//System.out.println(c.toString());
-	//System.out.println(Arrays.toString(p));
-	return p;
-    }
-    */
-    /*
-    // computes the single-linkage clustering with specified cutoff using Kruskall algorithm
-    // returns the partitions within an array
-    final static int[] slinkK(final float[][] dm, final double cutoff) {
-	int n = dm.length;                                           // no. elements
-	ArrayList<Set<Integer>> c = new ArrayList<Set<Integer>>(n);  // clusters
-	int[] p = new int[n];                                        // partition id for each element
-	int ne = (--n) * (++n) / 2;                                  // no. edges
-	float[][] e = new float[ne][3];                              // edge list
-	int j, x = -1, i = -1;
-	while ( (j=++i) < n ) {
-	    c.add(new HashSet<Integer>());
-	    c.get(i).add(i);
-	    p[i] = i;
-	    while ( --j >= 0 ) {
-		if ( (e[++x][2]=dm[i][j]) > cutoff ) { --x; continue; }
-		e[x][0] = i;
-		e[x][1] = j;
-	    }
-	}
-	e = Arrays.copyOf(e, (ne=++x));
-	Arrays.sort(e, Comparator.comparingDouble(a -> a[2]));
-	//## Kruskall
-	BitSet b = new BitSet(n); b.set(0, n);                       // active classes
-	x = -1;
-	while ( ++x < ne ) 
-	    if ( (i=p[(int)e[x][0]]) != (j=p[(int)e[x][1]]) ) {
-		for (int y: c.get(i)) p[y] = j;
-		c.get(j).addAll(c.get(i));
-		b.clear(i);
-		c.get(i).clear();
-	    }
-	c = null;
-	e = null;
- 	//System.out.println(Arrays.toString(p));
-	int[] rwr = new int[b.cardinality()];
-	i = j = -1; while ( (i=b.nextSetBit(++i)) >= 0 ) rwr[++j] = i;
-	while ( --n >= 0 ) p[n] = Arrays.binarySearch(rwr, p[n]);
-	b = null;
-	rwr = null;
- 	//System.out.println(Arrays.toString(p));
-	return p;
-    }
-    */
-    /*
-    // returns a float array of specified size by splitting the specified String using blank space field separator and getting only specified fields
-    final static float[] splitRaw(final String line, final int size, final BitSet fields) {
-	float[] a = new float[size];
-	StringBuilder sb = new StringBuilder("");
-	int l = line.length(), i = -1, j = 0;
-	for (char ch: line.toCharArray()) {
-	    if ( ch == ' ' ) {
-		if ( fields.get(++i) ) {
-		    a[j] = (float) Double.parseDouble(sb.toString());
-		    if ( ++j == size ) break;
-		}
-		sb = sb.delete(0, sb.length());
-		continue;
-	    }
-	    sb = sb.append(ch);
-	}
-	if ( j < size ) a[j] = (float) Double.parseDouble(sb.toString());
-	return a;
-    }
-    */
 }
 	
-- 
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