edu.stanford.math.plex4.homology.zigzag.bootstrap

Class InducedHomologyMappingUtility

java.lang.Object

edu.stanford.math.plex4.homology.zigzag.bootstrap.InducedHomologyMappingUtility

public class InducedHomologyMappingUtility
extends java.lang.Object

Constructor Summary

Constructors

Constructor and Description
InducedHomologyMappingUtility()

Method Summary

Methods

Modifier and Type	Method and Description
static <K1,K2,I1 extends java.lang.Comparable<I1>,I2 extends java.lang.Comparable<I2>,G1,G2> java.util.Map<K1,K2>	computeInducedMap(AbstractPersistenceTracker<K1,I1,G1> A_state, AbstractHomologyTracker<K2,I2,?,G2> B, edu.stanford.math.primitivelib.autogen.algebraic.IntAbstractModule<G2> chainModule, edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<G1,G2> chainMap)
static <U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>>	getFirstGradedProjectionMap(edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule, edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> dummy)
static <U extends PrimitiveBasisElement> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>>	getInclusionMap()
static <U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>>	getSecondGradedProjectionMap(edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule, edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> dummy)
static <I extends java.lang.Comparable<I>,U extends PrimitiveBasisElement> IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>>	include(AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> X, AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Z, AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Y, IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> accumulator, edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule, I X_index, I Y_index)
static <K,I extends java.lang.Comparable<I>,G1,G2> IntervalTracker<K,I,G2>	join(AbstractPersistenceTracker<K,I,G1> A_state, AbstractPersistenceTracker<K,I,G2> B_state, java.util.Map<K,K> joinMap, I joinIndex, boolean reversed)
static <I extends java.lang.Comparable<I>,U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>>	project(AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> X, AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>> Z, AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Y, AbstractPersistenceTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> accumulator, edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule, edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> Z_chainModule, I X_index, I Y_index)
static <X extends java.lang.Comparable<X>,Y> java.util.Map<Y,java.util.List<X>>	reverse(java.util.Map<X,Y> map)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

InducedHomologyMappingUtility

public InducedHomologyMappingUtility()

Method Detail

include

public static <I extends java.lang.Comparable<I>,U extends PrimitiveBasisElement> IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> include(AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> X,
                                                                                                                                                                                       AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Z,
                                                                                                                                                                                       AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Y,
                                                                                                                                                                                       IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> accumulator,
                                                                                                                                                                                       edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule,
                                                                                                                                                                                       I X_index,
                                                                                                                                                                                       I Y_index)

project

public static <I extends java.lang.Comparable<I>,U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> IntervalTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> project(AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> X,
                                                                                                                                                                                                                                                                   AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>> Z,
                                                                                                                                                                                                                                                                   AbstractHomologyTracker<java.lang.Integer,I,?,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> Y,
                                                                                                                                                                                                                                                                   AbstractPersistenceTracker<java.lang.Integer,I,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> accumulator,
                                                                                                                                                                                                                                                                   edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule,
                                                                                                                                                                                                                                                                   edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> Z_chainModule,
                                                                                                                                                                                                                                                                   I X_index,
                                                                                                                                                                                                                                                                   I Y_index)

computeInducedMap

public static <K1,K2,I1 extends java.lang.Comparable<I1>,I2 extends java.lang.Comparable<I2>,G1,G2> java.util.Map<K1,K2> computeInducedMap(AbstractPersistenceTracker<K1,I1,G1> A_state,
                                                                                                                           AbstractHomologyTracker<K2,I2,?,G2> B,
                                                                                                                           edu.stanford.math.primitivelib.autogen.algebraic.IntAbstractModule<G2> chainModule,
                                                                                                                           edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<G1,G2> chainMap)

join

public static <K,I extends java.lang.Comparable<I>,G1,G2> IntervalTracker<K,I,G2> join(AbstractPersistenceTracker<K,I,G1> A_state,
                                                                       AbstractPersistenceTracker<K,I,G2> B_state,
                                                                       java.util.Map<K,K> joinMap,
                                                                       I joinIndex,
                                                                       boolean reversed)

reverse

public static <X extends java.lang.Comparable<X>,Y> java.util.Map<Y,java.util.List<X>> reverse(java.util.Map<X,Y> map)

getInclusionMap

public static <U extends PrimitiveBasisElement> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> getInclusionMap()

getFirstGradedProjectionMap

public static <U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> getFirstGradedProjectionMap(edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule,
                                                                                                                                                                                                                                                                                                                                                                edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> dummy)

getSecondGradedProjectionMap

public static <U extends PrimitiveBasisElement,V extends edu.stanford.math.primitivelib.autogen.pair.ObjectObjectPair<U,U>> edu.stanford.math.primitivelib.autogen.functional.ObjectObjectFunction<edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<V>,edu.stanford.math.primitivelib.autogen.formal_sum.IntSparseFormalSum<U>> getSecondGradedProjectionMap(edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<U> chainModule,
                                                                                                                                                                                                                                                                                                                                                                 edu.stanford.math.primitivelib.autogen.formal_sum.IntAlgebraicFreeModule<V> dummy)