diff --git a/COPYING b/COPYING new file mode 100644 index 0000000000000000000000000000000000000000..be3f7b28e564e7dd05eaf59d64adba1a4065ac0e --- /dev/null +++ b/COPYING @@ -0,0 +1,661 @@ + GNU AFFERO GENERAL PUBLIC LICENSE + Version 3, 19 November 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU Affero General Public License is a free, copyleft license for +software and other kinds of works, specifically designed to ensure +cooperation with the community in the case of network server software. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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If not, see <https://www.gnu.org/licenses/>. + +Also add information on how to contact you by electronic and paper mail. + + If your software can interact with users remotely through a computer +network, you should also make sure that it provides a way for users to +get its source. For example, if your program is a web application, its +interface could display a "Source" link that leads users to an archive +of the code. There are many ways you could offer source, and different +solutions will be better for different programs; see section 13 for the +specific requirements. + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU AGPL, see +<https://www.gnu.org/licenses/>. diff --git a/README.md b/README.md index 3a9d02d106c21c93bb5920b7af8a06a955fba527..35390e513c0e4afb9ed1140c74bcea090b63677d 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 0000000000000000000000000000000000000000..547b5321750ce47cb9922432984c71ee6e6d131f --- /dev/null +++ b/example/profiles.L1.P2-2039.tsv @@ -0,0 +1,415 @@ +cgST BP0001 BP3871 BP0003 BP0004 x_1 BP0009 BP0010 BP0011 BP0013 BP0014 BP0015 BP0017 x_3 BP0025 BP0026 BP0027 BP0028 BP0029 BP0034 BP0035 BP0036 x_4 BP0044 BP0043 BP0050 x_5 x_6 BP0055 BP0056 BP0061 BP0062 BP0063 BP0065 BP0066 BP0067 BP0069 x_7 BP0074 BP0075 BP0076 BP0077 BP0078 BP0085 BP0087 BP0089 BP0090 BP0091 BP0092 BP0093 BP0094 BP0096 BP0097 BP0098 BP0100 x_8 x_9 BP0101B BP0103 BP0104 BP0105 BP0106 BP0107 BP0108 x_10 BP0128 x_11 BP0130 BP0131 BP0132 BP0133 BP0135 x_14 BP0139 x_15 BP0142 BP0143 BP0145 x_16 BP0149 BP0153 BP0156 BP0157 BP0158 BP0160 BP0161 BP0171 BP0177 BP0178 BP0179 BP0180 BP0181 BP0183 BP0185 BP0186 BP0187 x_17 BP0189 BP0196 BP0198 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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 N 1 1 1 N 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 2 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 2 1 2 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 N 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 N 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 2 1 2 1 1 1 1 2 1 1 1 1 1 N N 4 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 2 1 1 1 1 N 1 1 3 1 1 1 1 1 1 1 1 1 1 1 N 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 1 1 diff --git a/src/MSTclust.java b/src/MSTclust.java new file mode 100644 index 0000000000000000000000000000000000000000..ff72b90b558ea3dc6e9197a33867f5399588aab0 --- /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 Binary files /dev/null and b/src/Technical.Notes.pdf differ