From 6a440cc65a911cdf51780af3748176296492349f Mon Sep 17 00:00:00 2001
From: criscuol <alexis.criscuolo@pasteur.fr>
Date: Tue, 26 May 2020 20:54:29 +0200
Subject: [PATCH] 0.1

---
 COPYING                         |  661 ++++++++++++++++++
 README.md                       |  198 ++++++
 example/profiles.L1.P2-2039.tsv |  415 ++++++++++++
 src/MSTclust.java               | 1112 +++++++++++++++++++++++++++++++
 src/Technical.Notes.pdf         |  Bin 0 -> 439697 bytes
 5 files changed, 2386 insertions(+)
 create mode 100644 COPYING
 create mode 100644 example/profiles.L1.P2-2039.tsv
 create mode 100644 src/MSTclust.java
 create mode 100644 src/Technical.Notes.pdf

diff --git a/COPYING b/COPYING
new file mode 100644
index 0000000..be3f7b2
--- /dev/null
+++ b/COPYING
@@ -0,0 +1,661 @@
+                    GNU AFFERO GENERAL PUBLIC LICENSE
+                       Version 3, 19 November 2007
+
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+
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+
+  If you develop a new program, and you want it to be of the greatest
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+    <one line to give the program's name and a brief idea of what it does.>
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+    This program is distributed in the hope that it will be useful,
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diff --git a/README.md b/README.md
index 3a9d02d..35390e5 100644
--- a/README.md
+++ b/README.md
@@ -1,2 +1,200 @@
 # MSTclust
 
+_MSTclust_ is a command line program written in [Java](https://docs.oracle.com/javase/8/docs/technotes/guides/language/index.html) to compute Minimum Spanning Tree (MST)-based clustering from either profile (i.e. tuples of positive integers) or pairwise distance data.
+_MSTclust_ can also be used to compute pairwise distances between profiles, [single-linkage hierarchical classification trees](https://en.wikipedia.org/wiki/Single-linkage_clustering), [minimum spanning trees](https://en.wikipedia.org/wiki/Minimum_spanning_tree), and several statistics to assess the efficiency of a specific clustering.
+
+
+## Compilation and execution
+
+The source code of _MSTclust_ is inside the _src_ directory and can be compiled and executed in two different ways. 
+
+#### Building an executable jar file
+
+On computers with [Oracle JDK](http://www.oracle.com/technetwork/java/javase/downloads/index.html) (8 or higher) installed, a Java executable jar file could be created. In a command-line window, go to the _src_ directory and type:
+```bash
+javac MSTclust.java 
+echo Main-Class: MSTclust > MANIFEST.MF 
+jar -cmvf MANIFEST.MF MSTclust.jar MSTclust.class 
+rm MANIFEST.MF MSTclust.class 
+```
+This will create the executable jar file `MSTclust.jar` that can be launched with the following command line model:
+```bash
+java -jar MSTclust.jar [options]
+```
+
+#### Building a native executable
+
+On computers with [GraalVM](hhttps://www.graalvm.org/downloads/) installed, a native executable can also be built. In a command-line window, go to the _src_ directory, and type:
+```bash
+javac MSTclust.java 
+native-image MSTclust MSTclust
+rm MSTclust.class
+```
+This will create the native executable `MSTclust` that can be launched with the following command line model:
+```bash
+./MSTclust [options]
+```
+
+## Usage
+
+Launch _MSTclust_ without option to read the following documentation:
+
+```
+ MSTclust
+
+ Minimum Spanning Tree-based clustering
+
+ USAGE:  MSTclust  -i <infile>  -o <basename>  [options]
+
+ OPTIONS:
+
+ -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
+                labels (default: "1")
+ -p <string>    (input tab-delimited profiles)  fields containing profiles
+                (default: "2-")
+ -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
+                (default: 0)
+ -L <integer>   profile length  to carry  out data  perturbation  analysis
+                (default: not set)
+ -B <integer>   number of  bins to  carry out  data  subsampling  analyses
+                (default: not set)
+ -R <integer>   number of replicates for data perturbation and subsampling
+                analyses (default: 100)
+ -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
+                (default: not set)
+```
+
+
+
+## Notes
+
+* Profile data can be read via a tab-delimited file with some field(s) containing profile labels and other fields containing positive non-zero integers (some raw entries can be empty). Label and profile fields can be determined using options `-l` and `-p`, respectively. A distance matrix is directly computed from input profiles.
+* Pairwise distance data can be read via a text file containing the corresponding lower-triangular distance matrix (without the zero diagonal).
+* Specific rows can be selected using option `-r`.
+* A [minimum spanning tree](https://en.wikipedia.org/wiki/Minimum_spanning_tree) and a [single-linkage hierarchical classification tree](https://en.wikipedia.org/wiki/Single-linkage_clustering) can be written in [Newick](http://evolution.genetics.washington.edu/phylip/newicktree.html) and [GraphML](http://graphml.graphdrawing.org/index.html) output files using options `-m` and `-h`, respectively. These two options can require important running times when considering large datasets (e.g. > 5,000 rows).
+* By definition, setting small cutoff values yield clustering with a large number of classes with fast running times.
+* Profile length is required to carry out data perturbation analyses (option `-L`).
+* Data subsampling analyses progressively subsample raw data with rate values _b_/(_B_+1) where _b_ = 1 ... _B_ and _B_ > 1 is the number of bins specified using option `-B`. At least _B_ = 10 bins are recommended.
+* For more details on the profile distance computation, clustering algorithm, and descriptive statistics, see the technical notes pdf file.
+
+
+
+
+## Example
+
+The directory _example_ contains a tab-delimited file _profiles.L1.P2-2039.tsv_ downloaded from the [_Bordetella_ sequence typing database](https://bigsdb.pasteur.fr/bordetella/) hosted by the [Institut Pasteur (cg)MLST repository](https://bigsdb.pasteur.fr/).
+This file contains 414 allelic profiles on 2,038 loci (for more details, see [Bouchez et al. 2018](https://wwwnc.cdc.gov/eid/article/24/6/17-1464_article)) with label names contained in the first field.
+
+**Distance matrix from profile data**
+
+The 2,038 loci are contained in fields 2-2039 and the first line is not a profile (locus names).
+Therefore, a distance matrix can be computed with _MSTclust_ using the following command line:
+```bash
+MSTclust  -i profiles.L1.P2-2039.tsv  -o data  -l 1  -p 2-2039  -r 2-  -e 0.05  -h  -m 
+```
+This will output:
+```
+no. fields              2038
+reading file ...        [ok]
+no. elements            414
+8.19% missing entries   discarding profile 5 (5)
+remaining elements      413
+computing distances ... [ok]
+distance matrix         data.d
+hierarchical tree       data.nwk
+minimum spanning tree   data.graphml
+```
+Of note, using option `-e 0.05` causes the removal of the fifth profile (8.19% missing entries).
+The pairwise distance matrix is written into _data.d_, and options `-m` and `-h` yield the creation of the files _data.graphml_ and _data.nwk_.
+
+**MST-based clustering from distance data**
+
+A first MST-based clustering with 0.007 as cutoff (option `-c`) can be carried out from the written distance matrix file _data.d_  using the following simple command line:
+```bash
+MSTclust  -i data.d  -o clust  -c 0.007 
+```
+This will output:
+```
+reading file ...        [ok]
+no. elements            413
+clustering ...          [ok]
+no. classes             16
+silhouette              0.552998
+clustering info         clust.txt
+```
+This clustering is a partition of the 413 profiles into 16 classes, assessed with an overall silhouette of ~0.553.
+Details of the clustering is written into _clust.txt_.
+
+**Assessing robustness using data perturbation and subsampling analyses**
+
+The robustness of the previous clustering can be assessed by performing data perturbation and subsampling analyses (options `-L` and `-B`) based on 1,000 replicate (option `-R`) using the following command line:
+```bash
+MSTclust  -i data.d  -o clust  -c 0.007  -L 2038  -B 9  -R 1000
+```
+This will output:
+```
+reading file ...        [ok]
+no. elements            413
+clustering ...          [ok]
+no. classes             16
+silhouette              0.552998
+clustering info         clust.txt
+noising ...             [ok]
+noise silhouette        0.544606  [0.252816 , 0.877700]
+noise aWallace1         0.702105  [0.306373 , 1.000000]
+noise aWallace2         0.984209  [0.754643 , 1.000000]
+subsampling 1/9 ...     10.0% (41)    S 0.5653 [0.0000 , 0.8534]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9987 [0.9863 , 1.0000]
+subsampling 2/9 ...     20.0% (83)    S 0.5400 [0.4614 , 0.7296]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9985 [0.9933 , 1.0000]
+subsampling 3/9 ...     30.0% (124)   S 0.5263 [0.4750 , 0.6392]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9987 [0.9953 , 1.0000]
+subsampling 4/9 ...     40.0% (165)   S 0.5260 [0.4812 , 0.6056]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9989 [0.9961 , 1.0000]
+subsampling 5/9 ...     50.0% (206)   S 0.5307 [0.4914 , 0.5882]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9991 [0.9971 , 1.0000]
+subsampling 6/9 ...     60.0% (248)   S 0.5335 [0.4959 , 0.5843]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9992 [0.9977 , 1.0000]
+subsampling 7/9 ...     70.0% (289)   S 0.5398 [0.5029 , 0.5821]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9995 [0.9983 , 1.0000]
+subsampling 8/9 ...     80.0% (330)   S 0.5439 [0.5093 , 0.5788]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9997 [0.9986 , 1.0000]
+subsampling 9/9 ...     90.0% (372)   S 0.5493 [0.5169 , 0.5738]  aW1 1.0000 [1.0000 , 1.0000]  aW2 0.9998 [0.9993 , 1.0000]
+nAUC silhouette         0.768597  [0.729724 , 0.813833]
+nAUC aWallace1          1.000000  [1.000000 , 1.000000]
+nAUC aWallace2          0.999118  [0.996141 , 1.000000]
+```
+The clustering based on the cutoff 0.007 seems robust to data subsampling, as the three estimated nAUC are quite high (e.g. > 0.75).
+However, the same clustering seems less robust to data perturbation, as the 2.5% CI are quite small for the silhouette and the first Wallace coefficient, e.g. < 0.4.
+
+**Searching optimal clustering**
+
+An optimal MST-based clustering can be defined by the cutoff value that maximizes the different estimated statistics.
+By considering every branch length from the minimum spanning tree in _data.graphml_ (see above) as a putative cutoff, _MSTclust_ can be used to display in standard output these statistics in a convenient tab-delimited format (option `-t`):
+```bash
+grep "data" data.graphml | awk -F '[<>]' '{print$3}' | sort -g | uniq | 
+  while read c ; do  MSTclust  -i data.d  -o out  -c $c  -L 2038  -B 9  -t ; done  2>/dev/null
+```
+After observing the different outputted statistics (not shown), it seems that an optimal clustering can be obtained using 
+0.016691213 as cutoff. 
+This can be summarized using the following command line:
+```bash
+MSTclust  -i data.d  -o clust  -c 0.016691213  -L 2038  -B 9  -t  2>&1  |  tail -2
+```
+This will output:
+```
+n   c           k  silhouette  noise silhouette [low avg up]  noise aWallace1 [low avg up]  noise aWallace2 [low avg up]  nAUC silhouette [low avg up]  nAUC aWallace1 [low avg up]  nAUC aWallace2 [low avg up]
+413 0.016691213 3  0.829778    0.763112 0.838848 0.918818     0.444911 0.977796 1.000000    0.998107 0.999338 1.000000    0.825384 0.899548 0.938995    1.000000 1.000000 1.000000   0.828055 0.978866 1.000000
+```
+Details of the corresponding clustering (3 classes) is written into file _clust.txt_.
+
+
+
+
+
+## References
+
+Bouchez V, Guglielmini J, Dazas M, Landier A, Toubiana J, Guillot S, Criscuolo A, Brisse S (2018) Genomic Sequencing of Bordetella Pertussis for Epidemiology and Global Surveillance of Whooping Cough. Emerging Infectious Diseases, 24(6):988-994. [doi:10.3201/eid2406.171464](https://doi.org/10.3201/eid2406.171464)
+
+
diff --git a/example/profiles.L1.P2-2039.tsv b/example/profiles.L1.P2-2039.tsv
new file mode 100644
index 0000000..547b532
--- /dev/null
+++ b/example/profiles.L1.P2-2039.tsv
@@ -0,0 +1,415 @@
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diff --git a/src/MSTclust.java b/src/MSTclust.java
new file mode 100644
index 0000000..ff72b90
--- /dev/null
+++ b/src/MSTclust.java
@@ -0,0 +1,1112 @@
+/*
+  ########################################################################################################
+
+  MSTclust: Minimum Spanning Tree-based clustering
+  
+  Copyright (C) 2020  Institut Pasteur
+  
+  This program  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
+  <http://www.gnu.org/licenses/>.
+  
+  Contact:
+   Alexis Criscuolo                                                            alexis.criscuolo@pasteur.fr
+   Genome Informatics & Phylogenetics (GIPhy)                                             giphy.pasteur.fr
+   Bioinformatics and Biostatistics Hub                                 research.pasteur.fr/team/hub-giphy
+   USR 3756 IP CNRS                          research.pasteur.fr/team/bioinformatics-and-biostatistics-hub
+   Dpt. Biologie Computationnelle                     research.pasteur.fr/department/computational-biology
+   Institut Pasteur, Paris, FRANCE                                                     research.pasteur.fr
+
+  ########################################################################################################
+*/
+import java.io.*;
+import java.util.*;
+
+public class MSTclust {
+
+    //### constants  ###############################################################################################
+    final static String VERSION = "0.1.200523ac";
+    final static String NOTHING = "N.o./.T.h.I.n.G";
+    final static short EMPTY = 0; //Short.MIN_VALUE;;
+    final static String BLANK = "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ";
+    final static double EPSILON = 0.000000001;
+    final static double CI_MIN = 0.025;
+    final static double CI_MAX = 0.975;
+
+    //### io  ######################################################################################################
+    static BufferedReader in;
+    static BufferedWriter out;
+    static StringBuilder outcaption;  // tab-delimited output caption
+    static StringBuilder outstats;    // tab-delimited output stats
+
+    //### options  #################################################################################################
+    static File infile;               // option -i ; either tab-delimited profiles or distance matrix (mandatory); when profiles, only positive values < 65535
+    static String basename;           // option -o ; basename for output files (mandatory)
+    static String lfld;               // option -l ; for tab-delimited profiles: field(s) containing profile labels (default: "1")
+    static String pfld;               // option -p ; for tab-delimited profiles: field(s) containing profiles (default: "2-");
+    static String rows;               // option -r ; for tab-delimited profiles: raw list (default: "1-");
+    static double missp;              // option -e ; for tab-delimited profiles: max allowed proportion of empty entries per profile (default: 0.25)
+    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 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)
+    static int reps;                  // option -R ; no. replicates (default: 100)
+    static long seed;                 // option -S ; seed value (default: 0)
+    
+    //### data  ####################################################################################################
+    static boolean dfile;             // true if infile contains a distance matrix
+    static int n;                     // no. profiles
+    static int lgt;                   // profile size
+    static BitSet blfld;              // label field ids
+    static ArrayList<String> lbl;     // profile labels
+    static int maxlbl;                // max label length
+    static BitSet bpfld;              // profile field ids
+    static short[][] pr;              // profile array
+    static int[] missing;             // no. missing entries par profile
+    static BitSet brows;              // raw ids
+    static float[][] dm;              // lower-triangular distance matrix
+    static int[] clust;               // partition array
+    static int k;                     // no. class(es)
+    static int[] csize;               // size of each class
+    static double[] silh;             // silhouette indexes
+    static double[] csilh;            // avg silhouette for each class
+    static int[][] srt;               // clustered elements, sorted according to silhouette
+    static double silhouette;         // avg silhouette of the clustering
+    static Random random;             // stream of pseudorandom numbers
+    static double[] aurand;           // an array of lgt+1 sorted random numbers drawn from ]0, 1[
+    
+    //### stuffs  ##################################################################################################
+    static short a;
+    static int b, c, i, j, o, r, x, y, a_i, a_j, card, x025, x975;
+    static float dij;
+    static double up, dn, lo, av, step, rate;
+    static String line;
+    static StringBuilder sb;
+    static short[] si;
+    static int[] ai, subsample, noiclust, subclust, clustsub, mm;
+    static int[][] a2i;
+    static float[][] sdm;
+    static double[] rsi, rw1, rw2, aw, xaxis;
+    static double[][] a2d, ssi, sw1, sw2;
+    static String[] aS, aS2;
+    static ArrayList<Integer> alI;
+   
+    public static void main(String[] args) throws IOException {
+
+	//##########################################################################################################
+	//### man                                                                                                ###
+	//##########################################################################################################
+	if ( args.length < 2 ) {
+	    System.out.println("");
+	    System.out.println(" MSTclust v." + VERSION);
+	    System.out.println("");
+	    System.out.println(" Minimum Spanning Tree-based clustering");
+	    System.out.println("");
+	    System.out.println(" USAGE:  MSTclust  -i <infile>  -o <basename>  [options]");
+	    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("                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("                labels (default: \"1\")");
+	    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("                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("                (default: 0)");
+	    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("                (default: not set)");
+	    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("                into an output file (default: not set)");
+	    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);
+	}
+
+
+	//##########################################################################################################
+	//### reading options                                                                                    ###
+	//##########################################################################################################
+	infile = new File(NOTHING);  // option -i
+	basename = NOTHING;          // option -o
+	outtab = false;              // option -t
+	lfld = "1";                  // option -l
+	pfld = "2-";                 // option -p
+	missp = 0.25;                // option -e
+	rows = "1-";                 // option -r
+	hctree = false;              // option -h
+	mstree = false;              // option -m
+	cutoff = -1;                 // option -c
+	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("-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; }
+	}
+	//### testing mandatory options -i, and -o
+	if ( infile.toString().equals(NOTHING) ) { System.err.println("input file not specified (option -i)");             System.exit(1); }
+	if ( ! infile.exists() )                 { System.err.println("input file does not exist (option -i)");            System.exit(1); }
+	if ( basename.equals(NOTHING) )          { System.err.println("output file basename not specified (option -o)");   System.exit(1); }
+	//### testing option -e, -L, -B and -R
+	if ( missp < 0 )                         { System.err.println("incorrect value (option -e)");                      System.exit(1); } 
+	if ( nloc < 0 )                          { System.err.println("incorrect value (option -L)");                      System.exit(1); } 
+	if ( bins < 0 || bins == 1 )             { System.err.println("incorrect value (option -B)");                      System.exit(1); } 
+	if ( reps <= 0 )                         { System.err.println("incorrect value (option -R)");                      System.exit(1); } 
+	
+	
+	//##########################################################################################################
+	//### init                                                                                               ###
+	//##########################################################################################################
+	lbl = new ArrayList<String>();                             // label names
+	maxlbl = 0;                                                // label name max length
+	dm = new float[1][];                                       // distance matrix
+	outcaption = new StringBuilder("");                        // tab-delimited output caption
+	outstats = new StringBuilder("");                          // tab-delimited output stats
+	random = new Random(seed + (int)(10.0/(0.000001+cutoff))); // stream of pseudorandom numbers
+	if ( 0 < cutoff ) cutoff += EPSILON;
+	x025 = (int) Math.floor(CI_MIN * reps); while ( x025 < 0 ) ++x025;
+	x975 = (int) Math.ceil(CI_MAX * reps);  while ( x975 >= reps ) --x975;
+	
+
+	//##########################################################################################################
+	//### reading infile to build dm                                                                         ###
+	//##########################################################################################################
+	//### setting dfile and n (and lgt if ! dfile)
+	in = new BufferedReader(new FileReader(infile));
+	try { while ( (line=in.readLine().trim()).length() == 0 ) {} } catch ( NullPointerException e ) { System.err.println("empty input file (option -i)");  System.exit(1); }
+	aS = splitFast(line, '\t'); //aS = line.split("\\s+");
+	lgt = aS.length;
+	dfile = (lgt == 1);
+	n = 1;
+	while ( true ) try { n = ( in.readLine().trim().length() == 0 ) ? n : ++n; } catch ( NullPointerException e ) { in.close(); break; }
+	brows = readFields(rows, n); //## NOTE: reading rows
+	//##########################################################################################################
+	//### reading distance matrix                                                                            ###
+	//##########################################################################################################
+	if ( dfile ) {
+	    System.err.print("reading file ...        ");
+	    x = brows.cardinality();
+	    lbl = new ArrayList<String>(x);
+	    dm = new float[x][];
+	    in = new BufferedReader(new FileReader(infile));
+	    x = i = -1;
+	    while ( ++x < n ) {     //## NOTE: n = total no. non empty lines
+		try { line = in.readLine().trim(); } catch ( NullPointerException e ) { System.err.println("incorrect distance matrix file  (option -i)"); System.exit(1); }
+		if ( line.length() == 0 ) { --x; continue; }
+		if ( ! brows.get(x) ) continue;
+		++i;                //## NOTE: i (= lbl id)  <=  x (= current id)
+		o = (line + " ").indexOf(" ");
+		lbl.add(line.substring(0, o));
+		maxlbl = Math.max(maxlbl, lbl.get(i).length());
+		dm[i] = splitRaw(line.substring(o).trim(), i, brows);
+		/*dm[i] = new float[i];aS = line.substring(o).trim().split(" ");y = j = -1; while ( (y=brows.nextSetBit(++y)) != -1 && ++j < i ) 
+		  try { dm[i][j] = Float.parseFloat(aS[y]); } catch ( NumberFormatException e ) { System.err.println("incorrect distance matrix file (option -i)"); System.exit(1); }*/
+	    }
+	    in.close();
+	    System.err.println("[ok]");
+	    n = dm.length;
+	    outcaption = outcaption.append("n");              //## NOTE: updating outtab
+	    outstats = outstats.append(n);                    //## NOTE: updating outtab
+	    System.err.println("no. elements            " + n);
+	}
+	//##########################################################################################################
+	//### reading profiles                                                                                   ###
+	//##########################################################################################################
+	else {
+	    blfld = readFields(lfld, lgt); //## NOTE: reading lfld
+	    bpfld = readFields(pfld, lgt); //## NOTE: reading pfld
+	    n = brows.cardinality();
+	    lbl = new ArrayList<String>(n);
+	    lgt = bpfld.cardinality();
+	    System.err.println("no. fields              " + lgt);
+	    if ( nloc > 0 ) nloc = lgt;  //## NOTE: setting the true no. loci
+	    pr = new short[n][lgt];
+	    missing = new int[n];
+	    System.err.print("reading file ...        ");
+	    in = new BufferedReader(new FileReader(infile));
+	    i = n = -1;
+	    while ( (line=in.readLine()) != null ) {
+		if ( line.trim().length() == 0 ) continue;
+		++n;              //## NOTE: n = current profile id
+		if ( ! brows.get(n) ) continue;
+		++i;              //## NOTE: i = profile id <= n
+		aS = splitFast(line, '\t');
+		//## getting lbl  ##################
+		sb = new StringBuilder("");
+		x = -1; while ( (x=blfld.nextSetBit(++x)) != -1 ) sb = sb.append("_").append(aS[x]);
+		lbl.add(sb.substring(1).replace(' ', '_'));
+		maxlbl = ( maxlbl < (x=lbl.get(i).length()) ) ? x : maxlbl;
+		//## getting profile  ##############
+		x = j = -1;
+		while ( (x=bpfld.nextSetBit(++x)) != -1 ) {
+		    try { a = (short) Integer.parseInt(aS[x]); }      //## NOTE: values should be drawn from [1, 65535] !!!!!
+		    catch ( NumberFormatException e ) {
+			a = EMPTY;
+			missing[i]++;
+		    }
+		    pr[i][++j] = a;
+		}
+	    }
+	    in.close();
+	    System.err.println("[ok]");
+	    n = pr.length;
+	    System.err.println("no. elements            " + n);
+	    //### filtering profiles  #################################################################################
+	    i = j = -1;
+	    while ( ++i < n ) {
+		rate = missing[i] / (double) lgt;
+		if ( rate > missp ) {
+		    System.err.println(String.format(Locale.US, "%.2f", 100*rate) + "% missing entries   discarding profile " + (++i) + " (" + lbl.get(--i) + ")");
+		    continue;
+		}
+		if ( ++j < i ) {
+		    pr[j] = Arrays.copyOf(pr[i], lgt);
+		    missing[j] = missing[i];
+		    lbl.set(j, lbl.get(i));
+		}
+	    }
+	    if ( ++j < n ) {
+		n = j;
+		System.arraycopy(pr, 0, pr, 0, n);
+		System.arraycopy(missing, 0, missing, 0, n);
+		System.err.println("remaining elements      " + n);
+	    }
+	    outcaption = outcaption.append("n\tl");                    //## NOTE: updating outtab
+	    outstats = outstats.append(n).append("\t").append(lgt);    //## NOTE: updating outtab
+	    //### computing and writing distance matrix  ##############################################################
+	    System.err.print("computing distances ... ");
+	    dm = new float[n][];
+	    si = new short[lgt];  //## NOTE: creating array for next System.copyOf
+	    out = new BufferedWriter(new FileWriter(new File(basename + ".d")));
+	    i = -1;
+	    while ( ++i < n ) {
+		out.write((lbl.get(i) + BLANK).substring(0, maxlbl));
+		dm[i] = new float[i];
+		System.arraycopy(pr[i], 0, si, 0, lgt);  //si = Arrays.copyOf(pr[i], lgt);  si = pr[i].clone(); // => slower
+		j = -1;
+		while ( ++j < i ) {
+		    dij = ( (a_i=missing[i]) == 0 ) ?
+			( missing[j] == 0 )  ? dpf(si, pr[j]) : dp(pr[j], si) :    //## NOTE: dpf(p1, p2) is faster than dp(p1, p2)
+			( a_i < missing[j] ) ? dp(pr[j], si)  : dp(si, pr[j]);     //## NOTE: dp(p1, p2) is faster when missing[p1] > missing[p2]
+		    if ( Float.isNaN(dij) ) {
+			System.err.println("no comparable element between profiles " + (++j) + " (" + lbl.get(--j) + ") and " + (++i) + " (" + lbl.get(--i) + ")");
+			System.err.println("try to select rows using option -r");
+			out.close();
+			System.exit(1);
+		    }		    
+		    dm[i][j] = dij;
+		    out.write(String.format(Locale.US, " %.9f", dij));
+		}
+		out.newLine();
+	    }
+	    out.close();
+	    System.err.println("[ok]");
+	    System.err.println("distance matrix         " + basename + ".d");
+	}	    
+
+	
+	//##########################################################################################################
+	//### hierarchical and/or minimum spanning tree(s)                                                       ###
+	//##########################################################################################################
+	if ( cutoff < 0 ) { //## NOTE: no clustering
+	    if ( hctree ) {
+		System.err.print("hierarchical tree       ");
+		out = new BufferedWriter(new FileWriter(new File(basename + ".nwk")));
+		out.write(slinkHCT(dm, lbl));                                                          out.newLine();
+		out.close();
+		System.err.println(basename + ".nwk");
+	    }
+	    if ( mstree ) {
+		System.err.print("minimum spanning tree   ");
+		out = new BufferedWriter(new FileWriter(new File(basename + ".graphml")));
+		out.write("<?xml version=\"1.0\" encoding=\"UTF-8\"?>");                               out.newLine();
+		out.write("<graphml xmlns=\"http://graphml.graphdrawing.org/xmlns\">");                out.newLine();
+		out.write(" <key id=\"d1\" for=\"edge\" attr.name=\"weight\" attr.type=\"double\"/>"); out.newLine();
+		out.write(" <graph id=\"MST\" edgedefault=\"undirected\">");                           out.newLine();
+		i = -1; while ( ++i < n ) { out.write("  <node id=\"" + lbl.get(i) + "\"/>");          out.newLine(); }
+		a2i = mst(dm);
+		b = n; --b;
+		while ( --b >= 0 ) {
+		    out.write("  <edge id=\"e" + (b+1)
+			      + "\" source=\"" + lbl.get(i=a2i[b][0])
+			      + "\" target=\"" + lbl.get(j=a2i[b][1]) + "\">");                        out.newLine();
+		    out.write(String.format(Locale.US, "   <data key=\"d1\">%.9f</data>", dm[i][j]));  out.newLine();
+		    out.write("  </edge>");                                                            out.newLine();
+		}
+		out.write(" </graph>");                                                                out.newLine();
+		out.write("</graphml>");                                                               out.newLine();
+		out.close();
+		System.err.println(basename + ".graphml");
+	    }
+	    if ( outtab ) { 
+		System.err.println(outcaption.toString());
+		System.out.println(outstats.toString());
+	    }
+	    System.exit(0);
+	}
+
+	
+	//##########################################################################################################
+	//### clustering                                                                                         ###
+	//##########################################################################################################
+	System.err.print("clustering ...          ");
+	clust = mstc(dm, cutoff);
+	System.err.println("[ok]");
+	k = psize(clust);
+	outcaption = outcaption.append("\tc       \tk");                                                                   //## NOTE: updating outtab
+	outstats = outstats.append(String.format(Locale.US, "\t%.9f\t", ((cutoff == 0) ? 0 : cutoff-EPSILON))).append(k);  //## NOTE: updating outtab
+	System.err.println("no. classes             " + k);
+	csize = csizes(clust);
+	srt = new int[k][];           //## NOTE: srt[c][] = array of the elements in class c
+	ai = new int[k];
+	Arrays.fill(ai, -1);
+	c = k;
+	while ( --c >= 0 ) srt[c] = new int[csize[c]];
+	i = n;
+	while ( --i >= 0 ) {
+	    c = clust[i];
+	    ++ai[c];
+	    srt[c][ai[c]] = i;
+	}
+	ai = null;
+	//System.out.println(""); c = -1; while ( ++c < k ) System.out.println(Arrays.toString(srt[c]));
+	
+
+	//##########################################################################################################
+	//### estimating silhouette indexes and sorting clusters                                                 ###
+	//##########################################################################################################
+	silh = silhouette(clust, dm);
+	silhouette = avg(silh);
+	outcaption = outcaption.append("\tsilhouette");                                      //## NOTE: updating outtab
+	outstats = outstats.append(String.format(Locale.US, "\t%.6f", silhouette));          //## NOTE: updating outtab
+	System.err.println("silhouette              " + String.format(Locale.US, "%.6f", silhouette));
+	//## sorting each srt[c] according to the element silhouette indexes
+	c = k;
+	while ( --c >= 0 ) {
+	    a2d = new double[x=csize[c]][2];
+	    while ( --x >= 0 ) {
+		i = srt[c][x];
+		a2d[x][0] = silh[i];
+		a2d[x][1] = i;
+	    }
+	    Arrays.sort(a2d, Comparator.comparingDouble(a -> -a[0]));
+	    x = csize[c]; while ( --x >= 0 ) srt[c][x] = (int) a2d[x][1];
+	}
+	//## sorting srt according to the cluster silhouette indexes
+	aS = new String[k];
+	c = k;
+	while ( --c >= 0 ) {
+	    sb = new StringBuilder("");
+	    up = 0; dn = x = csize[c];
+	    while ( --x >= 0 ) {
+		i = srt[c][x];
+		up += silh[i];
+		sb = sb.append(' ').append(String.valueOf(i));
+	    }
+	    line = ( up < 0 ) ? String.format(Locale.US, "%.17f%010d", up/dn, csize[c]) : String.format(Locale.US, "0%.17f%010d", up/dn, csize[c]); //## NOTE: silhouette (20 char) + size (10 char)
+	    sb = sb.insert(0, line);
+	    aS[c] = sb.toString();
+	}
+	Arrays.sort(aS);
+	csilh = new double[k];
+	c = k;
+	for (String s: aS) {
+	    aS2 = s.split(" ");
+	    csilh[--c] = Double.parseDouble(aS2[0].substring(0,20));
+	    x = aS2.length; srt[c] = new int[--x]; ++x;
+	    y = -1; while ( --x > 0 ) srt[c][++y] = Integer.parseInt(aS2[x]); 
+	}
+	
+	    
+	//##########################################################################################################
+	//### writing clustering                                                                                 ###
+	//##########################################################################################################
+	out = new BufferedWriter(new FileWriter(new File(basename + ".txt")));
+	out.write("# n=" + n);                                                                        out.newLine();
+	out.write("# c=" + String.format(Locale.US, "%.8f", cutoff));                                 out.newLine();
+	out.write("# k=" + k);                                                                        out.newLine();
+	out.write("# s=" + String.format(Locale.US, "%.8f", silhouette));                             out.newLine();
+	c = -1;
+	while ( ++c < k ) {                                                                           out.newLine();
+	    out.write(("## cluster_" + (c+1) + BLANK).substring(0,15) + "  n=" + srt[c].length
+		      + String.format(Locale.US, "   s=%." + ((csilh[c]<0)?7:8) + "f", csilh[c]));    out.newLine();
+	    for (int i: srt[c]) {
+		out.write((lbl.get(i)+BLANK).substring(0, maxlbl)
+			  + String.format(Locale.US, "  s=%." + ((silh[i]<0)?7:8) + "f", silh[i]));   out.newLine();
+	    }
+	}
+	out.close();
+	System.err.println("clustering info         " + basename + ".txt");
+		
+
+	//##########################################################################################################
+	//### hierarchical and/or minimum tree(s) after clustering                                               ###
+	//##########################################################################################################
+	if ( hctree || mstree ) {
+	    aS = new String[n];
+	    c = k; while ( --c >= 0 ) for (int i: srt[c]) aS[i] = "cluster_" + (c+1) + "___" + lbl.get(i);
+	    if ( hctree ) {
+		System.err.print("hierarchical tree       ");
+		out = new BufferedWriter(new FileWriter(new File(basename + ".nwk")));
+		out.write(slinkHCT(dm, new ArrayList<String>(Arrays.asList(aS))));                     out.newLine();
+		out.close();
+		System.err.println(basename + ".nwk");
+	    }
+	    if ( mstree ) {
+		System.err.print("minimum spanning tree   ");
+		out = new BufferedWriter(new FileWriter(new File(basename + ".graphml")));
+		out.write("<?xml version=\"1.0\" encoding=\"UTF-8\"?>");                               out.newLine();
+		out.write("<graphml xmlns=\"http://graphml.graphdrawing.org/xmlns\">");                out.newLine();
+		out.write(" <key id=\"d1\" for=\"edge\" attr.name=\"weight\" attr.type=\"double\"/>"); out.newLine();
+		out.write(" <graph id=\"MST\" edgedefault=\"undirected\">");                           out.newLine();
+		i = -1; while ( ++i < n ) { out.write("  <node id=\"" + aS[i] + "\"/>");               out.newLine(); }
+		a2i = mst(dm);
+		b = n; --b;
+		while ( --b >= 0 ) {
+		    out.write("  <edge id=\"e" + (b+1)
+			      + "\" source=\"" + aS[i=a2i[b][0]]
+			      + "\" target=\"" + aS[j=a2i[b][1]] + "\">");                             out.newLine();
+		    out.write(String.format(Locale.US, "   <data key=\"d1\">%.9f</data>", dm[i][j]));  out.newLine();
+		    out.write("  </edge>");                                                            out.newLine();
+		}
+		out.write(" </graph>");                                                                out.newLine();
+		out.write("</graphml>");                                                               out.newLine();
+		out.close();
+		System.err.println(basename + ".graphml");
+	    }
+	}
+
+
+	//##########################################################################################################
+	//### estimating noising statistics                                                                      ###
+	//##########################################################################################################
+	if ( nloc > 0 ) {
+	    System.err.print("noising ...             ");
+	    ++nloc;
+	    aurand = new double[nloc];
+	    aurand[--nloc] = 1;
+	    rsi = new double[reps];        // silhouettes
+	    rw1 = new double[reps];        // adjusted Wallace coef. 1
+	    rw2 = new double[reps];        // adjusted Wallace coef. 2
+	    r = -1;
+	    while ( ++r < reps ) {
+		x = nloc; while  ( --x >= 0 ) aurand[x] = random.nextDouble();
+		Arrays.sort(aurand);                      // nloc sorted random values
+		seed = random.nextLong();
+		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));
+		aw = awal(mm);
+		rw1[r] = aw[0];
+		rw2[r] = aw[1];
+	    }
+	    System.err.println("[ok]");
+	    Arrays.sort(rsi); lo = rsi[x025]; av = avg(rsi); up = rsi[x975];
+	    outcaption = outcaption.append("\tnoise silhouette [low avg up] ");                     //## NOTE: updating outtab
+	    outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	    System.err.println("noise silhouette        " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+	    Arrays.sort(rw1); lo = rw1[x025]; av = avg(rw1); up = rw1[x975];
+	    outcaption = outcaption.append("\tnoise aWallace1 [low avg up] ");                      //## NOTE: updating outtab
+	    outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	    System.err.println("noise aWallace1         " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+	    Arrays.sort(rw2); lo = rw2[x025]; av = avg(rw2); up = rw2[x975];
+	    outcaption = outcaption.append("\tnoise aWallace2 [low avg up] ");                      //## NOTE: updating outtab
+	    outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	    System.err.println("noise aWallace2         " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+	}
+
+
+	if ( bins == 0 ) { //## NOTE: no subsampling analyses
+	    if ( outtab ) { 
+		System.err.println(outcaption.toString());
+		System.out.println(outstats.toString());
+	    }
+	    System.exit(0);
+	}
+
+	
+	//##########################################################################################################
+	//### estimating subsampling statistics                                                                  ###
+	//##########################################################################################################
+	xaxis = new double[bins];      // abscissa values for subsampling curves
+	ssi = new double[3][bins];     // subsampling silhouette distributions [2.5%CI, avg, 97.5%CI]
+	sw1 = new double[3][bins];     // subsampling adjusted Wallace coef. 1 distributions [2.5%CI, avg, 97.5%CI]
+	sw2 = new double[3][bins];     // subsampling adjusted Wallace coef. 2 distributions  [2.5%CI, avg, 97.5%CI]
+	rsi = new double[reps];        // silhouettes
+	rw1 = new double[reps];        // adjusted Wallace coef. 1
+	rw2 = new double[reps];        // adjusted Wallace coef. 2
+	step = 1.0 / (bins+1);
+	rate = 0;
+	b = -1;
+	while ( ++b < bins ) {
+	    xaxis[b] = (rate += step);
+	    card = (int) Math.rint(rate * n);
+	    System.err.print((("subsampling " + (b+1) + "/" + bins + " ...         ").substring(0, 23) + String.format(Locale.US, " %.1f", 100*rate) + "% (" + card + ")                    ").substring(0, 35));
+	    r = -1;
+	    while ( ++r < reps ) {
+		seed = random.nextLong();
+		subsample = subsample(n, rate, seed);         // array containing n*rate random element ids
+		sdm = subdm(dm, subsample);                   // sub distance matrix corresponding to the subsampled elements
+		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
+		aw = awal(mm);
+		rw1[r] = aw[0];
+		rw2[r] = aw[1];
+	    }
+	    Arrays.sort(rsi); ssi[0][b] = rsi[x025]; ssi[1][b] = avg(rsi); ssi[2][b] = rsi[x975];
+	    System.err.print(String.format(Locale.US, "   S %.4f [%.4f , %.4f]", 2*ssi[1][b]-1, 2*ssi[0][b]-1, 2*ssi[2][b]-1));
+	    Arrays.sort(rw1); sw1[0][b] = rw1[x025]; sw1[1][b] = avg(rw1); sw1[2][b] = rw1[x975];
+	    System.err.print(String.format(Locale.US, "  aW1 %.4f [%.4f , %.4f]", sw1[1][b], sw1[0][b], sw1[2][b]));
+	    Arrays.sort(rw2); sw2[0][b] = rw2[x025]; sw2[1][b] = avg(rw2); sw2[2][b] = rw2[x975];
+	    System.err.println(String.format(Locale.US, "  aW2 %.4f [%.4f , %.4f]", sw2[1][b], sw2[0][b], sw2[2][b]));
+	}
+	lo = nauc(xaxis, ssi[0]); av = nauc(xaxis, ssi[1]); up = nauc(xaxis, ssi[2]);
+	outcaption = outcaption.append("\tnAUC silhouette [low avg up] ");                      //## NOTE: updating outtab
+	outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	System.err.println("nAUC silhouette         " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+	lo = nauc(xaxis, sw1[0]); av = nauc(xaxis, sw1[1]); up = nauc(xaxis, sw1[2]);
+	outcaption = outcaption.append("\tnAUC aWallace1 [low avg up] ");                       //## NOTE: updating outtab
+	outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	System.err.println("nAUC aWallace1          " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+	lo = nauc(xaxis, sw2[0]); av = nauc(xaxis, sw2[1]); up = nauc(xaxis, sw2[2]);
+	outcaption = outcaption.append("\tnAUC aWallace2 [low avg up]");                        //## NOTE: updating outtab
+	outstats = outstats.append(String.format(Locale.US, "\t%.6f %.6f %.6f", lo, av, up));   //## NOTE: updating outtab
+	System.err.println("nAUC aWallace2          " + String.format(Locale.US, "%.6f  [%.6f , %.6f]", av, lo, up));
+
+	if ( outtab ) { 
+	    System.err.println(outcaption.toString());
+	    System.out.println(outstats.toString());
+	}
+    }
+
+    //##########################################################################################################
+    //##########################################################################################################
+    //### static methods                                                                                     ###
+    //##########################################################################################################
+    //##########################################################################################################
+    
+    // reads field(s) and returns field id(s) in a BitSet
+    final static BitSet readFields(final String fields, final int size) {
+	int x = 0, y, z;
+    	BitSet bs = new BitSet(size);
+	for (String s: fields.trim().split(",")) {
+	    if ( (z=s.indexOf("-")) == -1 ) {
+		try { x = Integer.parseInt(s); }              catch ( NumberFormatException e ) { System.err.println("incorrect field definition: " + s); System.exit(1); }
+		if ( --x < 0 )                                                                  { System.err.println("incorrect field definition: " + s); System.exit(1); }
+		bs.set(x);
+		continue;
+	    }
+	    try { x = Integer.parseInt(s.substring(0,z)); }   catch ( NumberFormatException e ) { System.err.println("incorrect field definition: " + s); System.exit(1); }
+	    if ( --x < 0 )                                                                      { System.err.println("incorrect field definition: " + s); System.exit(1); }
+	    y = size;
+	    if ( ++z < s.length() )
+		try { y = Integer.parseInt(s.substring(z)); } catch ( NumberFormatException e ) { System.err.println("incorrect field definition: " + s); System.exit(1); }
+	    if ( y <= x )                                                                       { System.err.println("incorrect field definition: " + s); System.exit(1); }
+	    bs.set(x, y);
+	}
+	//System.out.println(fields); System.out.println(bs.toString());
+	return bs;
+    }
+
+    // fast implementation of line.split(delimiter)
+    final static String[] splitFast(final String line, final char delimiter) {
+	String[] a = new String[line.length()];
+	int x = 0, y = -1, i = -1;
+	while ( (y=line.indexOf(delimiter, (x=++y))) >= 0 ) a[++i] = line.substring(x, y);
+	a[++i] = line.substring(x);
+	return Arrays.copyOf(a, ++i);
+    }	
+
+    // returns a float array of specified size by splitting the specified String using (unique) blank space field separator and getting only specified fields
+    // faster than line.split(" ")
+    final static float[] splitRaw(final String line, final int size, final BitSet fields) {
+	float[] a = new float[size];
+	int x = 0, y = -1, i = -1, j = -1;
+	while ( ++j < size  &&  (y=line.indexOf(' ', (x=++y))) >= 0 ) 
+	    a[j] = ( fields.get(++i) ) ? (float) Double.parseDouble(line.substring(x, y)) : a[j--];
+	    //if ( fields.get(++i) ) a[j] = (float) Double.parseDouble(line.substring(x, y)) else --j;
+	if ( j < size  &&  fields.get(++i) ) a[j] = (float) Double.parseDouble(line.substring(x));
+	return a;
+    }
+
+     // returns the pairwise distance between specified profiles without empty entry
+    final static float dpf(final short[] p1, final short[] p2) {
+	int up = 0, m = Math.min(p1.length, p2.length); final double dn = m;
+	while ( --m >= 0 && ( p1[m] == p2[m] || ++up > 0 ) ) {}
+	//while ( --m >= 0 ) up += ( p1[m] != p2[m] ) ? 0b1 : 0;
+	return (float) (up / dn);
+    }    
+    
+    // returns the pairwise distance between specified profiles
+    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);
+    }    
+	
+    // returns the average of the specified array values
+    final static double avg(final double[] ar) {
+	double up = 0, dn = 0;
+	for (double x: ar) if ( ! Double.isNaN(x) && ! Double.isInfinite(x) ) { up += x; dn++; }
+	return up / dn ;
+    }
+
+    // computes a single-linkage hierarchical tree
+    final static String slinkHCT(final float[][] dm, final ArrayList<String> label) {
+ 	int n = dm.length;                           // size
+	float[][] d = Arrays.copyOf(dm, n);          // dissimilarity copy
+	String[] c = label.toArray(new String[n]);   // clades
+	double[] height = new double[n];             // clade heights 
+	int[] csize = new int[n];                    // clade sizes
+	Arrays.fill(csize, 1);
+	double min, minmin = 0; int i, j, x, y, dn = n;
+	while ( --dn > 0 ) {
+	    x = y = -1; min = Double.POSITIVE_INFINITY; i = n;
+	    while ( --i >= 0 && min > minmin ) if ( csize[j=i] > 0 ) while ( --j >= 0 ) min = ( csize[j] > 0 && dm[i][j] < min ) ? dm[x=i][y=j] : min;  //min /= 2;    // searching for x and y to agglomerate
+	    minmin = ( min > minmin ) ? min : minmin; i = n;
+	    while ( --i >= 0 ) if ( i != x && i != y && csize[i] > 0 ) 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]);           // updating dm between parent(x,y) and every i != x,y
+	    c[x] = (csize[x] > csize[y])                                                                                                                               // replacing x by the subtree (x,y)
+		? String.format(Locale.US, "("+c[x]+":%.8f,"+c[y]+":%.8f)", min-height[x], min-height[y])
+		: String.format(Locale.US, "("+c[y]+":%.8f,"+c[x]+":%.8f)", min-height[y], min-height[x]);
+	    csize[x] += csize[y];
+	    height[x] = min;
+	    c[y] = null;
+	    csize[y] = 0;
+	}
+	d = null;
+	height = null;
+	csize = null;
+	return c[--n];
+    }
+    
+    // computes the MST-based clustering with specified (inclusive) cutoff using a Kruskall-like algorithm
+    // returns the partitions within an array
+    final static int[] mstc(final float[][] dm, final double cutoff) {
+	int n = dm.length;               // no. elements
+	BitSet[] c = new BitSet[n];      // clusters
+	int[] p = new int[n];            // partition id for each element
+	int ne = (--n) * (++n) / 2;      // no. edges
+	//## parsing the edge of the dm clique
+	float[][] e = new float[ne][];   // edge list
+	float dij; int j, y, x = -1, i = n;
+	while ( (j=--i) >= 0 ) {
+	    c[i] = new BitSet(n);
+	    c[i].set(i);
+	    p[i] = i;
+	    while ( --j >= 0 )
+		if ( (dij=dm[i][j]) <= cutoff ) { //## NOTE: cutoff is inclusive
+		    e[++x] = new float[3];
+		    e[x][0] = i;
+		    e[x][1] = j;
+		    e[x][2] = dij;
+		}
+	}
+	ne = ++x;
+	e = Arrays.copyOf(e, ne);
+	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]]) ) {  //## NOTE: j = j U i, and next discarding i
+		y = -1; while ( (y=c[i].nextSetBit(++y)) >= 0 ) p[y] = j;
+		c[j].or(c[i]);
+		b.clear(i);
+	    }
+	c = null;
+	e = null;
+ 	//System.out.println(Arrays.toString(p));
+	//## rewriting partition ids	
+	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;
+    }
+
+    // computes a MST using Prim algorithm
+    // return an array of n-1 tuples (x, y) with x > y
+    final static int[][] mst(final float[][] dm) {
+	int n = dm.length;           // no. elements
+	BitSet v = new BitSet(n);    // processed vertices
+	int ne = n; --ne;            // no. edges
+	int[][] t = new int[ne][2];  // mstree
+	v.set(0);
+	float min; int x, y, j, i, e = -1;
+	while ( ++e < ne ) {
+	    min = Float.MAX_VALUE; i = x = y = -1;
+	    while ( (i=v.nextSetBit(++i)) >= 0 ) {
+		j = n; while ( (j=v.previousClearBit(--j)) >= 0 ) min = ( j < i ) ? ( dm[i][j] < min ) ? dm[x=i][y=j] : min : ( dm[j][i] < min ) ? dm[x=j][y=i] : min;
+	    }
+	    t[e][0] = x; v.set(x);
+	    t[e][1] = y; v.set(y);
+	}
+	return t;
+    }   
+
+    // returns a matrix of noised distances from the specified distance matrix dm
+    // noised distances lgt * dn ~ B(dm, lgt)
+    // see e.g. doi:10.1080/01621459.1972.10481259
+    final static float[][] noisedm(final float[][] dm, final int lgt, final double[] sortrand) {
+	Random rand = new Random(seed);
+	int n = dm.length;
+	float[][] dn = new float[n][];
+	double dij, l = lgt; int x, j, i = n;
+	while ( (j=--i) >= 0 ) {
+	    dn[i] = new float[i];
+	    while ( --j >= 0 ) {
+		dn[i][j] = ( (dij=dm[i][j]) == 1.0f ) ? 1.0f : ( dij == 0 ) ? 0 : ( (x=Arrays.binarySearch(sortrand, dij)) < 0 ) ? (float) (-(++x)/l) : (float) (x/l);
+		//System.out.println(dij + " " + dn[i][j]);
+	    }
+	}
+	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);
+	BitSet b = new BitSet(size);
+	int card = (int) Math.rint(rate * size);
+	int i = card; while ( --i >= 0 ) b.set(rand.nextInt(size));
+	while ( b.cardinality() < card ) b.set(rand.nextInt(size));
+	int[] s = new int[card];
+	i = card = -1; while ( (i=b.nextSetBit(++i)) != -1 ) s[++card] = i;
+	b = null;
+	//System.out.println(Arrays.toString(s));
+	return s;
+    }
+    
+    // returns a submatrix of distances from the specified row ids
+    final static float[][] subdm(final float[][] dm, final int[] row) {
+	int n = row.length;
+	float[][] sm = new float[n][];
+	int j, i = n; while ( --i >= 0 ) sm[i] = new float[i];
+	i = n; while ( (j=--i) >= 0 ) while ( --j >= 0 ) sm[i][j] = dm[row[i]][row[j]];
+	return sm;
+    }
+	    
+    // returns a subpartition from the specified row ids
+    final static int[] subpartition(final int[] partition, final int[] row) {
+	int n = row.length;
+	int[] sp = new int[n];
+	TreeSet<Integer> ts = new TreeSet<Integer>();
+	while ( --n >= 0 ) ts.add((sp[n]=partition[row[n]]));
+	int[] rwr = new int[ts.size()];
+	n = -1; for (Integer i: ts) rwr[++n] = i;
+	ts = null;
+	n = sp.length; while ( --n >= 0 ) sp[n] = Arrays.binarySearch(rwr, sp[n]);
+	rwr = null;
+	return sp;
+    }
+
+    // returns the no. partitions in a specified partition array
+    final static int psize(final int[] partition) {
+	TreeSet<Integer> ts = new TreeSet<Integer>();
+	for (int x: partition) ts.add(x);
+	return ts.size();
+    }    
+
+    // returns the size of each class from a specified partition array
+    final static int[] csizes(final int[] partition) {
+	int k = psize(partition);
+	int[] cs = new int[k];
+	for (int c: partition) cs[c]++;
+	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) {
+	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;
+	while ( (j=--i) >= 0 ) {
+	    ci = partition[i];
+	    while ( --j >= 0 ) {
+		cj = partition[j];
+		d[i][cj] += (dic=dm[i][j]);
+		d[j][ci] += dic;
+	    }
+	}
+	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;
+	    s[i] = (ai == bi) ? 0 : (ai < bi) ? 1 - ai/bi : bi/ai - 1;
+	}
+	csize = null;
+	d = null;
+	return s;
+    }
+    
+    // returns a contingency table from the two specified partitions on the same set (Table 1 in Hubert and Arabie 1985 doi:10.1007/bf01908075)
+    // see http://www.comparingpartitions.info/index.php?link=Tut14
+    final static int[][] contingency(final int[] p1, final int[] p2) {
+	int[][] c = new int[psize(p1)][psize(p2)];
+	int i = p1.length;
+	while ( --i >= 0 ) c[p1[i]][p2[i]]++;
+	return c;
+    }
+
+    // returns an array corresponding to the 2x2 mismatch matrix estimated from the specified contingency matrix (Table 2 in Hubert and Arabie 1985 doi:10.1007/bf01908075)
+    final static int[] abcd(final int[][] ctg) {
+	int nr = ctg.length;     // no. rows
+	int nc = ctg[0].length;  // no. col.
+	int[] sr = new int[nr];  // row sum
+	int[] sc = new int[nc];  // col sum
+	int s0 = 0, s1 = 0, s2 = 0, s3 = 0, x, j, i = nr;
+	while ( --i >= 0 && (j=nc) > 0 ) 
+	    while ( --j >= 0 ) {
+		sr[i] += (x=ctg[i][j]);
+		sc[j] += x;
+		s0 += x;
+		s1 += x * x;
+	    }
+	for (int s: sr) s2 += s * s;
+	for (int s: sc) s3 += s * s;
+	int[] abcd = new int[4];
+	abcd[0] = Math.abs(s1 - s0) / 2;
+	abcd[1] = Math.abs(s2 - s1) / 2;
+	abcd[2] = Math.abs(s3 - s1) / 2;
+	abcd[3] = Math.abs(s0*s0 + s1 - s2 - s3) / 2;
+	return abcd;
+    }		
+    
+    // Rand index (Rand 1971, doi:10.2307/2284239)
+    final static double rand(final int[][] ctg) { return rand(abcd(ctg)); }
+    final static double rand(final int[] mm) {
+	return (mm[0] + mm[3]) / (double) (mm[0] + mm[1] + mm[2] + mm[3]);
+    }
+
+    // adjusted Rand index (Hubert and Arabie 1985 doi:10.1007/bf01908075)
+    final static double arand(final int[][] ctg) { return arand(abcd(ctg)); }
+    final static double arand(final int[] mm) {
+	double a = mm[0], b = mm[1], c = mm[2], d = mm[3], n = a + b + c + d;
+	return ( n == a || n == d ) ? 1 : 2 * (a * d - b * c) / ((a + b) * (b + d) + (a + c) * (c + d));
+    }
+
+    // Wallace coefficients (Wallace 1983 doi:10.2307/2288118)
+    final static double[] wal(final int[][] ctg) { return wal(abcd(ctg)); }
+    final static double[] wal(final int[] mm) {
+	double a = mm[0], b = mm[1], c = mm[2];
+	double[] w = new double[2];
+	w[0] = ( a == 0 ) ? 0 : ( b == 0 ) ? 1 : a / (a + b);  // Wallace(row -> col)
+	w[1] = ( a == 0 ) ? 0 : ( c == 0 ) ? 1 : a / (a + c);  // Wallace(col -> row)
+	return w;
+    }
+	
+    // adjusted Wallace coefficients (Severiano et al. 2011 doi:10.1128/JCM.00624-11)
+    final static double[] awal(final int[][] ctg) { return awal(abcd(ctg)); }
+    final static double[] awal(final int[] mm) {
+	double a = mm[0], b = mm[1], c = mm[2], d = mm[3], n = a + b + c + d;
+	double[] aw = new double[2];
+	aw[0] = ( a == 0 ) ? 0 : ( a == n || b == 0 ) ? 1 : (a * d - b * c) / ((a + b) * (b + d));
+	aw[1] = ( a == 0 ) ? 0 : ( a == n || c == 0 ) ? 1 : (a * d - b * c) / ((a + c) * (c + d));
+	if ( Double.isInfinite(aw[0]*aw[1]) || Double.isNaN(aw[0]*aw[1]) || aw[0] < 0 || aw[1] < 0 ) System.out.println("\n" + a + " " + b + " " + c + " " + d + "   " + aw[0] + " " + aw[1]);
+	return aw;
+    }
+   
+    // returns the area under the specified curve with min >= 0
+    final static double auc(final double[] x, final double[] y) {
+	int b = 0, size = Math.min(x.length, y.length);
+	double auc = 0, x1 = x[b], y1 = y[b], x2, y2;
+	while ( ++b < size ) {
+	    x2 = x[b]; y2 = y[b];
+	    auc += (x2 - x1) * (y1 + y2);
+	    x1 = x2; y1 = y2;
+	}
+	return auc / 2;
+    }
+	
+    // returns the normalized area under the specified curve with min=0 and max=1
+    final static double nauc(final double[] x, final double[] y) {
+	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;
+    }
+    */
+}
+	
diff --git a/src/Technical.Notes.pdf b/src/Technical.Notes.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..36111b14ac9179bcba3e94527e32dda69d4067eb
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-- 
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