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java.lang.Objectorg.rubato.math.module.morphism.ModuleMorphism
org.rubato.math.module.morphism.GenericBasisMorphism
public class GenericBasisMorphism
A generic basis morphism is defined by the values at the basis elements of the domain module.
Method Summary | |
---|---|
boolean |
equals(java.lang.Object object)
Returns true iff this morphism is equal to object . |
GenericBasisMorphism |
fromXML(XMLReader reader,
org.w3c.dom.Element element)
Reads XML representation from reader starting with element . |
java.lang.String |
getElementTypeName()
Returns the value of the type attribute for this class. |
ModuleMorphism |
getRingMorphism()
Returns the the ring morphism that transforms between the rings of the domain and codomain modules. |
static XMLInputOutput<ModuleMorphism> |
getXMLInputOutput()
|
boolean |
isLinear()
Returns true iff this is a linear morphism. |
boolean |
isModuleHomomorphism()
If true, then this is a module homomorphism. |
boolean |
isRingHomomorphism()
If true, then this is a ring homomorphism. |
static GenericBasisMorphism |
make(FreeModule domain,
Module codomain,
ModuleElement[] fi)
Creates generic basis morphism with the free module domain
and any codomain . |
ModuleElement |
map(ModuleElement x)
Maps the element x . |
java.lang.String |
toString()
Returns a string representation of this morphism. |
void |
toXML(XMLWriter writer)
Outputs XML representation to writer . |
Methods inherited from class org.rubato.math.module.morphism.ModuleMorphism |
---|
atZero, clone, compareTo, composable, compose, difference, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, inDomain, isConstant, isIdentity, isRingMorphism, power, scaled, sum |
Methods inherited from class java.lang.Object |
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getClass, hashCode, notify, notifyAll, wait, wait, wait |
Method Detail |
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public static GenericBasisMorphism make(FreeModule domain, Module codomain, ModuleElement[] fi) throws DomainException
domain
and any codomain
. Both modules must be over the same ring.
The array fi
of module elements contains the element in
the codomain that the vectors
(0,0,0,0...), (1,0,0,0,...), (0,1,0,0,...), ...
in this order are mapped to.
DomainException
- if rings don't matchpublic ModuleElement map(ModuleElement x) throws MappingException
ModuleMorphism
x
.
This must be implemented for each specific morphism type.
map
in class ModuleMorphism
x
MappingException
- if mapping of element fails
public boolean isModuleHomomorphism()
ModuleMorphism
isModuleHomomorphism
in class ModuleMorphism
public boolean isRingHomomorphism()
ModuleMorphism
isRingHomomorphism
in class ModuleMorphism
public ModuleMorphism getRingMorphism()
ModuleMorphism
getRingMorphism
in class ModuleMorphism
public boolean isLinear()
ModuleMorphism
isLinear
in class ModuleMorphism
public boolean equals(java.lang.Object object)
ModuleMorphism
object
.
In general it is not possible to determine whether to functions
are the same, so this returns true iff both morphisms have
the same structure.
equals
in class ModuleMorphism
public java.lang.String toString()
ModuleMorphism
toString
in class ModuleMorphism
public void toXML(XMLWriter writer)
XMLInputOutput
writer
.
public GenericBasisMorphism fromXML(XMLReader reader, org.w3c.dom.Element element)
XMLInputOutput
reader
starting with element
.
public static XMLInputOutput<ModuleMorphism> getXMLInputOutput()
public java.lang.String getElementTypeName()
XMLInputOutput
|
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