org.rubato.math.module.morphism
Class RFreeAbstractMorphism

java.lang.Object
  extended by org.rubato.math.module.morphism.ModuleMorphism
      extended by org.rubato.math.module.morphism.RFreeAbstractMorphism
All Implemented Interfaces:
java.io.Serializable, java.lang.Cloneable, java.lang.Comparable<ModuleMorphism>, XMLInputOutput<ModuleMorphism>
Direct Known Subclasses:
RFreeAffineMorphism

public abstract class RFreeAbstractMorphism
extends ModuleMorphism

The abstract base class for morphisms in a free R-module.

Author:
Gérard Milmeister
See Also:
Serialized Form

Constructor Summary
RFreeAbstractMorphism(int domDim, int codomDim)
           
 
Method Summary
 ModuleMorphism getRingMorphism()
          Returns the the ring morphism that transforms between the rings of the domain and codomain modules.
 ModuleElement map(ModuleElement x)
          Maps the element x.
abstract  double[] mapValue(double[] x)
          The low-level map method.
 
Methods inherited from class org.rubato.math.module.morphism.ModuleMorphism
atZero, clone, compareTo, composable, compose, difference, equals, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, inDomain, isConstant, isIdentity, isLinear, isModuleHomomorphism, isRingHomomorphism, isRingMorphism, power, scaled, sum, toString
 
Methods inherited from class java.lang.Object
getClass, hashCode, notify, notifyAll, wait, wait, wait
 
Methods inherited from interface org.rubato.xml.XMLInputOutput
fromXML, getElementTypeName, toXML
 

Constructor Detail

RFreeAbstractMorphism

public RFreeAbstractMorphism(int domDim,
                             int codomDim)
Method Detail

map

public ModuleElement map(ModuleElement x)
                  throws MappingException
Description copied from class: ModuleMorphism
Maps the element x. This must be implemented for each specific morphism type.

Specified by:
map in class ModuleMorphism
Returns:
the result of mapping element x
Throws:
MappingException - if mapping of element fails

mapValue

public abstract double[] mapValue(double[] x)
The low-level map method. This must be implemented in subclasses.


getRingMorphism

public ModuleMorphism getRingMorphism()
Description copied from class: ModuleMorphism
Returns the the ring morphism that transforms between the rings of the domain and codomain modules.

Specified by:
getRingMorphism in class ModuleMorphism