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1 : /* +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 2 : Copyright (c) 2014-2020 The plumed team 3 : (see the PEOPLE file at the root of the distribution for a list of names) 4 : 5 : See http://www.plumed.org for more information. 6 : 7 : This file is part of plumed, version 2. 8 : 9 : plumed is free software: you can redistribute it and/or modify 10 : it under the terms of the GNU Lesser General Public License as published by 11 : the Free Software Foundation, either version 3 of the License, or 12 : (at your option) any later version. 13 : 14 : plumed is distributed in the hope that it will be useful, 15 : but WITHOUT ANY WARRANTY; without even the implied warranty of 16 : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 17 : GNU Lesser General Public License for more details. 18 : 19 : You should have received a copy of the GNU Lesser General Public License 20 : along with plumed. If not, see <http://www.gnu.org/licenses/>. 21 : +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ */ 22 : #include "ClusteringBase.h" 23 : #include "core/ActionRegister.h" 24 : 25 : //+PLUMEDOC MATRIXF DFSCLUSTERING 26 : /* 27 : Find the connected components of the matrix using the depth first search clustering algorithm. 28 : 29 : This action is useful if you are looking at a phenomenon such as nucleation where the aim is to detect the sizes of the crystalline nuclei that have formed 30 : in your simulation cell and is used in conjustion with tools from the adjmat module. The adjmat modlule contains a number of different methods that can be 31 : used to calculate adjacency matrices. An adjacency matrix is an $N \times N$ matrix 32 : in which the $i$th, $j$th element tells you whether or not the $i$th and $j$th atoms/molecules from a set of $N$ atoms/molecules are adjacent or not. The 33 : simplest of these adjcency matrix methods is the one for calculating a [CONTACT_MATRIX](CONTACT_MATRIX.md). All adjacency matrices provide a representation of a graph and can thus 34 : can be analyzed using tools from graph theory. This particular action thus performs 35 : [a depth first search clustering](https://en.wikipedia.org/wiki/Depth-first_search) to find the connected components of this graph. 36 : 37 : The input below calculates a CONTACT_MATRIX for 100 atoms. In the graph that is created from this CONTACT_MATRIX atoms are connected if they are within 38 : a distance of D_MAX of each other and are disconnected otherwise. The [DFSCLUSTERING](DFSCLUSTERING.md) method is used to find the connected components in this graph. This 39 : method outputs a 100-dimensional vector. The 1st element in this vector tells you which cluster the first atom is within, the second element tells you which 40 : cluster the second atom is in and so on. If an atom is in the largest cluster its corresponding element in the vector `dfs` will be one. We can thus print 41 : the positions of the atoms in the largest cluster by using a [DUMPATOMS](DUMPATOMS.md) command like the one shown below: 42 : 43 : ```plumed 44 : cm: CONTACT_MATRIX GROUP=1-100 SWITCH={CUBIC D_0=0.45 D_MAX=0.55} 45 : dfs: DFSCLUSTERING ARG=cm 46 : DUMPATOMS FILE=cluster.xyz ATOMS=1-100 ARG=dfs LESS_THAN_OR_EQUAL=1.5 GREATER_THAN_OR_EQUAL=0.5 47 : ``` 48 : 49 : */ 50 : //+ENDPLUMEDOC 51 : 52 : namespace PLMD { 53 : namespace clusters { 54 : 55 : class DFSClustering : public ClusteringBase { 56 : private: 57 : /// The number of neighbors each atom has 58 : std::vector<unsigned> nneigh; 59 : /// The adjacency list 60 : Matrix<unsigned> adj_list; 61 : /// The color that tells us whether a node has been visited 62 : std::vector<unsigned> color; 63 : /// The recursive function at the heart of this method 64 : int explore( const unsigned& index ); 65 : public: 66 : /// Create manual 67 : static void registerKeywords( Keywords& keys ); 68 : /// Constructor 69 : explicit DFSClustering(const ActionOptions&); 70 : /// Do the clustering 71 : void performClustering() override; 72 : }; 73 : 74 : PLUMED_REGISTER_ACTION(DFSClustering,"DFSCLUSTERING") 75 : 76 26 : void DFSClustering::registerKeywords( Keywords& keys ) { 77 26 : ClusteringBase::registerKeywords( keys ); 78 52 : keys.addDeprecatedFlag("LOWMEM",""); 79 26 : } 80 : 81 20 : DFSClustering::DFSClustering(const ActionOptions&ao): 82 : Action(ao), 83 20 : ClusteringBase(ao) { 84 20 : nneigh.resize( getNumberOfNodes() ); 85 20 : color.resize(getNumberOfNodes()); 86 : bool lowmem; 87 20 : parseFlag("LOWMEM",lowmem); 88 20 : if( lowmem ) { 89 0 : warning("LOWMEM flag is deprecated and is no longer required for this action"); 90 : } 91 20 : } 92 : 93 47 : void DFSClustering::performClustering() { 94 : // Get the adjacency matrix 95 47 : retrieveAdjacencyLists( nneigh, adj_list ); 96 : 97 : // Perform clustering 98 47 : number_of_cluster=-1; 99 47 : color.assign(color.size(),0); 100 21407 : for(unsigned i=0; i<getNumberOfNodes(); ++i) { 101 21360 : if( color[i]==0 ) { 102 11384 : number_of_cluster++; 103 11384 : color[i]=explore(i); 104 : } 105 : } 106 47 : } 107 : 108 21360 : int DFSClustering::explore( const unsigned& index ) { 109 : 110 21360 : color[index]=1; 111 155248 : for(unsigned i=0; i<nneigh[index]; ++i) { 112 133888 : unsigned j=adj_list(index,i); 113 133888 : if( color[j]==0 ) { 114 9976 : color[j]=explore(j); 115 : } 116 : } 117 : 118 : // Count the size of the cluster 119 21360 : cluster_sizes[number_of_cluster].first++; 120 21360 : which_cluster[index] = number_of_cluster; 121 21360 : return color[index]; 122 : } 123 : 124 : } 125 : }