/** Use example for Context and ConceptLattice classes * */
public static void ExampleIS(String name) {
try {
// load an IS from the "ISrules.txt" file
String nameIS = name + ".txt";
ImplicationalSystem base = new ImplicationalSystem(inputDir + nameIS);
// create the directory to save files
File f = new File(outputDir + name);
f.mkdir();
// create the Readme file
name = name + File.separator + name;
BufferedWriter file = new BufferedWriter(new FileWriter(outputDir + name + "Readme.txt"));
String log = "EXAMPLE FOR IS AND CONCEPTLATTICE CLASSES\n";
log += "-----------------------------------------\n";
log += "-> Initial set of rules (" + base.sizeRules() + " rules):\n" + base + "\n";
System.out.println(log);
file.write(log);
// computes the precedence graph of the IS
DGraph prec = base.precedenceGraph();
String namePrecGraph = name + "PrecedenceGraph.dot";
prec.save(outputDir + namePrecGraph);
log = "Precedence graph of IS saved in " + namePrecGraph + "\n";
System.out.println(log + prec.toString());
file.write(log);
// some IS transformation
log = "-> Some IS transformations: \n";
base.makeUnary();
log += "-> Unary equivalent rules (" + base.sizeRules() + " rules):\n" + base + "\n";
base.makeLeftMinimal();
log += "Left minimal equivalent rules (" + base.sizeRules() + " rules):\n" + base + "\n";
base.makeRightMaximal();
log += "Right maximal equivalent rules (" + base.sizeRules() + " rules):\n" + base + "\n";
base.makeCompact();
log += "Compact equivalent rules (" + base.sizeRules() + " rules):\n" + base + "\n";
System.out.println(log);
file.write(log);
// computes and prints the closed set lattice of the initial rules with NextClosure
ConceptLattice CLNC = base.closedSetLattice(false);
String nameCLNC = name + "ClosedSetLatticeNextClosure.dot";
CLNC.save(outputDir + nameCLNC);
log =
"-> Closed set lattice of IS (generated by Next Closure algorithm) saved in "
+ nameCLNC
+ "\n";
System.out.println(log + CLNC.toString());
file.write(log);
// computes and prints the closed set lattice of the initial rules with Bordat
ConceptLattice CLBordat = base.closedSetLattice(true);
String nameCLBordat = name + "ClosedSetLatticeBordat.dot";
CLBordat.save(outputDir + nameCLBordat);
log =
"-> Closed set lattice of IS (generated by Bordat's algorithm) saved in "
+ nameCLBordat
+ "\n";
System.out.println(log + CLBordat.toString());
file.write(log);
// computes dependance graph, minimal generators and canonical direct basis
log = "-> Components generated while Bordat's algorithm computes the lattice:\n";
DGraph ODG = CLBordat.getDependencyGraph();
String nameODG = name + "DependanceGraphOfClosedSetLattice.dot";
ODG.save(outputDir + nameODG);
log += "Dependance graph of closed set lattice saved in " + nameODG + "\n";
System.out.println(log + ODG.toString());
file.write(log);
TreeSet MinGen = CLBordat.getMinimalGenerators();
log = "Minimal generators of closed set lattice : " + MinGen + "\n";
ImplicationalSystem CLBCD = CLBordat.getCanonicalDirectBasis();
String nameCLBCD = name + "CanonicalDirectBasisOfClosedSetLattice.txt";
CLBCD.save(outputDir + nameCLBCD);
log +=
"Canonical direct basis of closed set lattice saved in "
+ nameCLBCD
+ ": \n"
+ CLBCD.toString();
System.out.println(log);
file.write(log);
// computes the canonical basis and the closed set lattice of the basis
base.makeCanonicalBasis();
String nameBC = name + "CanonicalBasis.txt";
base.save(outputDir + nameBC);
log = "Canonical basis (" + base.sizeRules() + " rules) saved in " + nameBC + ": \n" + base;
ConceptLattice CLBC = base.closedSetLattice(true);
String nameCLBC = name + "ClosedSetLatticeOfCanonicalBasis.dot";
CLBC.save(outputDir + nameCLBC);
log += "Closed set lattice of the canonical basis saved in " + nameCLBC + "\n";
System.out.println(log + CLBC.toString());
file.write(log);
// BIJECTION
log = "--- BIJECTION --- \n";
log += "Concept lattice of initial IS (" + nameCLBordat + ") isomorphic to\n";
log += "Concept lattice of the canonical basis of initial IC (" + nameCLBC + ")\n";
log += "-----------------\n";
// computes the canonical directe basis
base.makeCanonicalDirectBasis();
String nameBCD = name + "CanonicalDirectBasis.txt";
base.save(outputDir + nameBC);
log =
"-> Canonical direct basis ("
+ base.sizeRules()
+ " rules) saved in "
+ nameBCD
+ ": \n"
+ base;
System.out.println(log);
file.write(log);
// BIJECTION
log = "--- BIJECTION --- \n";
log += "Canonical direct basis of initial IS (" + nameBCD + ") isomorphic to\n";
log += "Canonical direct basis of the concept lattice of initial IC (" + nameCLBCD + ")\n";
log += "-----------------\n";
// computes the closed set lattice of the canonical direct basis
ConceptLattice BCDCL = base.closedSetLattice(true);
String nameBCDCL = name + "ClosedSetLatticeOfCanonicalDirectBasis.dot";
BCDCL.save(outputDir + nameCLBCD);
log += "-> Closed set lattice of the canonical direct basis saved in " + nameBCDCL + "\n";
System.out.println(log + BCDCL.toString());
file.write(log);
// BIJECTION
log = "--- BIJECTION --- \n";
log += "Closed set lattice of initial IS (" + nameCLBordat + ") isomorphic to\n";
log += "Closed set lattice of the canonical direct basis of initial IC (" + nameBCDCL + ")\n";
log += "-----------------\n";
System.out.println(log);
file.write(log);
// computes and prints the join reduction of the closed set lattice
Lattice L = CLBordat.getJoinReduction();
String nameCLJoinReduced = name + "LatticeJoinReduction.dot";
L.save(outputDir + nameCLJoinReduced);
log = "-> Join reduction of the concept lattice saved in " + nameCLJoinReduced + "\n";
System.out.println(log + L.toString());
file.write(log);
// computes the table of irreducible nodes of the reduced lattice
Context T = L.getTable();
String nameTable = name + "TableOfReducedLattice.txt";
T.save(outputDir + nameTable);
log = "-> Irreducibles table saved in " + nameTable + ":\n " + T;
System.out.println(log);
file.write(log);
// computes the concept lattice of the table
ConceptLattice CLTable = T.conceptLattice(false);
String nameCLTable = name + "ConceptLatticeOfTable.dot";
CLTable.save(outputDir + nameCLTable);
log = "Concept lattice of the table saved in " + nameCLTable + "\n";
System.out.println(log + CLTable.toString());
file.write(log);
// BIJECTION
log = "--- BIJECTION --- \n";
log +=
"Concept lattice of the canonical direct basis of initial IC ("
+ nameCLBCD
+ ") is isomorphic to \n";
log += "is isomorphic to concept lattice of its irreducibles table (" + nameCLTable + ")\n";
log += "-----------------\n";
System.out.println(log);
file.write(log);
file.close();
} catch (Exception e) {
}
}
/** Use example for DAGraph and Lattice classes * */
public static void ExampleDAGraph() {
try {
String name = "DAGraph";
// create the directory to save files
File f = new File(outputDir + name);
f.mkdir();
// create the Readme file
name = name + File.separator + name;
BufferedWriter file = new BufferedWriter(new FileWriter(outputDir + name + "Readme.txt"));
String log = "EXAMPLE FOR DAGRAPH AND LATTICE CLASSES\n";
log += "-----------------------------------------\n";
System.out.println(log);
file.write(log);
// randomly generates a directed graph of 10 nodes
DAGraph G = DAGraph.random(10);
String nameGraph = name + ".dot";
G.save(outputDir + nameGraph);
log = "-> Randomly generated DAGraph saved in " + nameGraph + "\n";
System.out.println(log + G.toString());
file.write(log);
// verify if the dagraph is acyclic
log = nameGraph + " acyclic? " + G.isAcyclic() + "\n";
System.out.println(log);
file.write(log);
// computes and print the transitive reduction of the dagraph
G.transitiveReduction();
String nameTR = name + "TransitiveReduction.dot";
G.save(outputDir + nameTR);
log = "-> Transitive reduction saved in " + nameTR + "\n";
System.out.println(log + G.toString());
file.write(log);
// computes and print the ideal and the filter of the first node
Node n = G.getNodes().first();
DAGraph ideal = G.ideal(n);
String nameIdeal = name + "Ideal.dot";
ideal.save(outputDir + nameIdeal);
log =
"-> Minorants of "
+ n
+ " : "
+ G.minorants(n)
+ "\n saved as a dagraph in "
+ nameIdeal
+ "\n";
System.out.println(log);
file.write(log);
DAGraph filter = G.filter(n);
String nameFilter = name + "Filter.dot";
filter.save(outputDir + nameFilter);
log =
"-> Majorants of "
+ n
+ " : "
+ G.majorants(n)
+ "\n saved as a dagraph in "
+ nameFilter
+ "\n";
System.out.println(log);
file.write(log);
// computes and print the ideals lattice of the dagraph
ConceptLattice CSL = ConceptLattice.idealLattice(G);
String nameIdealsLattice = name + "IdealsLattice.dot";
CSL.save(outputDir + nameIdealsLattice);
log = "-> Ideal lattice saved in " + nameIdealsLattice + "\n";
System.out.println(log + CSL.toString());
file.write(log);
// check if the ideals lattice is a lattice
log = "-> Check if the ideal lattice is a lattice ? " + CSL.isLattice() + "\n";
System.out.println(log);
file.write(log);
// print the irreducibles elements of the ideal lattice
log = "-> Join irreducibles of ideal lattice: " + CSL.joinIrreducibles() + "\n";
log += "Meet irreducibles of ideal lattice: " + CSL.meetIrreducibles() + "\n";
System.out.println(log);
file.write(log);
// reduces the ideal lattice by replacing each join irreducible node by one element
Lattice L = CSL.getJoinReduction();
String nameReducedLattice = name + "ReducedLattice.dot";
L.save(outputDir + nameReducedLattice);
log = "-> Reduced ideal lattice saved in " + nameReducedLattice + "\n";
System.out.println(log + L.toString());
file.write(log);
// print the irreducibles elements of the reduces ideal lattice
log = "-> Join irreducibles of reduced ideal lattice: " + L.joinIrreducibles() + "\n";
log += "Meet irreducibles of reduced ideal lattice: " + L.meetIrreducibles() + "\n";
System.out.println(log);
file.write(log);
// computes the table of the reduced lattice
Context T = L.getTable();
String nameTable = name + "IrrTable.txt";
T.save(outputDir + nameTable);
log =
"-> Irreducibles table of the reduced ideal lattice saved in "
+ nameTable
+ ":\n "
+ T.toString();
System.out.println(log);
file.write(log);
// compute the subgraph of join irreducible nodes
DAGraph JIrr = L.joinIrreduciblesSubgraph();
String nameIrrSG = name + "IrrSubgraph.dot";
JIrr.save(outputDir + nameIrrSG);
log = "-> Join irreducibles subgraph saved in " + nameIrrSG + "\n";
System.out.println(log + JIrr.toString());
file.write(log);
// BIJECTION
log = "--- BIJECTION --- \n";
log += "Initial random DAGraph (" + nameGraph + ") isomorphic to\n";
log += "Join irreducible subgraph of its ideal lattice (" + nameIrrSG + ")\n";
System.out.println(log);
file.write(log);
file.close();
} catch (Exception e) {
}
}
