Uses of Interface
net.sf.oriented.omi.OM

Packages that use OM

Package	Description
net.sf.oriented.omi	This package is the public interface, with OM as the key interface defining oriented matroids.
net.sf.oriented.pseudoline	This package is for representing rank 3 oriented matroids as pseudoline drawings, particularly in the Euclidean plane.

Uses of OM in net.sf.oriented.omi

Subinterfaces of OM in net.sf.oriented.omi

Modifier and Type	Interface and Description
interface	OMasChirotope The chirotope view of an oriented matroid.
interface	OMasFaceLattice The face lattice view of an oriented matroid.
interface	OMasRealized For an oriented matroid which was produced, or whose dual was produced, from a rational matrix, retrieve that view.
interface	OMasSignedSet An oriented matroid viewed as a set of signed sets: a set of circuits, a set of vectors, or a set of maximum vectors.

Methods in net.sf.oriented.omi that return OM

Modifier and Type	Method and Description
static OM	Examples.ceva() An oriented matroid representing Ceva's theorem.
static OM	Examples.chapter1() This is from the Oriented Matroid book Bibliography.björnerEtAl1999
static OM	Examples.circularsaw3() The oriented matroid corresponding to the circular saw diagram of size three.
OM	OM.dual() The dual oriented matroid.
static OM	FactoryFactory.fromCircuits(String circuits) Given a string representation of a set of circuits create an oriented matroid.
static OM	FactoryFactory.fromCoLexicographic(int n, int r, String chi) Gives an oriented matroid corresponding to a chirotope in colexicographic form.
static OM	FactoryFactory.fromCrossings(String... crossings) This method is for turning a pseudoline configuration into an oriented matroid.
static OM	FactoryFactory.fromEuclideanLines(int[][]... lines) Generate an OM from lines being specified as a pair of points (integer coordinates).
static OM	FactoryFactory.fromLexicographic(int n, int r, String chi) Gives an oriented matroid corresponding to a chirotope in lexicographic form.
static OM	FactoryFactory.fromMatrix(double threshold, double[][] matrix) This method is for turning a simple matrix of doubles into an oriented matroid over the columns.
static OM	FactoryFactory.fromMatrix(int[][] matrix) This method is for turning a simple matrix of integers into an oriented matroid over the columns.
static OM	Examples.omega14(int i) Richter-Gebert's interesting oriented matroids.
static OM	Examples.pappus() The oriented matroid corresponding to the arrangement in Pappus's theorm
OM	OM.permute(Permutation p) Permute the Oriented Matroid, the ground set is not permuted.
OM	OM.permuteGround(Permutation p) Permute the ground set.
OM	OM.reorient(Label... reorientationSet) Reorients (i.e.
static OM	Examples.ringel() The oriented matroid corresponding to Ringel's uniform non-realizable, non-Pappus configuration.
static OM	Examples.suvorov14() Suvorov's non-isotopic Oriented Matroid, (as presented in Bibliography.björnerEtAl1999
static OM	Examples.tsukamoto13(int i) Tsukamoto's non-isotopic Oriented Matroid
static OM	Examples.uniform3() The uniform oriented matroid of 3 points of rank 3
static OM	Examples.uniform4() The uniform oriented matroid of 4 points of rank 3
static OM	Examples.wheel12() This is from the Oriented Matroid book Bibliography.björnerEtAl1999
static OM	Examples.Ω14(int i) Richter-Gebert's interesting oriented matroids.
static OM	Examples.πάππος() The oriented matroid corresponding to the arrangement in Pappus's theorm

Methods in net.sf.oriented.omi that return types with arguments of type OM

Modifier and Type	Method and Description
static Map<String,OM>	Examples.all()

Uses of OM in net.sf.oriented.pseudoline

Methods in net.sf.oriented.pseudoline that return OM

Modifier and Type	Method and Description
OM	EuclideanPseudoLines.getEquivalentOM() This is the oriented matroid which is actually being processed.

Constructors in net.sf.oriented.pseudoline with parameters of type OM

Constructor and Description
EuclideanPseudoLines(OM om, Label infinity) Prepare the given oriented matroid for Euclidean processing, with the given line at infinity.
EuclideanPseudoLines(OM om, String infinity, String... alsoReorient) Prepare the given oriented matroid for Euclidean processing, with the given line at infinity, and a hint, which may or may not be followed, concerning which lines to re-orient.