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java.lang.Objectorg.rubato.math.module.morphism.ModuleMorphism
org.rubato.math.module.morphism.ProductMorphism
public final class ProductMorphism
Morphism that represents the product of two morphisms with the same domains and codomains, respectively, provided that the codomain is a ring.
Method Summary | |
---|---|
int |
compareTo(ModuleMorphism object)
Compares two module morphisms. |
boolean |
equals(java.lang.Object object)
Returns true iff this morphism is equal to object . |
ModuleMorphism |
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 |
getFirstMorphism()
Returns the first morphism f of the product f*g. |
ModuleMorphism |
getRingMorphism()
Returns the the ring morphism that transforms between the rings of the domain and codomain modules. |
ModuleMorphism |
getSecondMorphism()
Returns the second morphism g of the sum f*g. |
static XMLInputOutput<ModuleMorphism> |
getXMLInputOutput()
|
boolean |
isConstant()
Returns true iff this morphism is constant. |
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 ModuleMorphism |
make(ModuleMorphism f,
ModuleMorphism g)
Creates a morphism from f and g . |
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, composable, compose, difference, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, inDomain, 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 ModuleMorphism make(ModuleMorphism f, ModuleMorphism g) throws CompositionException
f
and g
.
The resulting morphism h is such that h(x) = f(x)*g(x).
The codomain must be a ring
CompositionException
- if the product is not validpublic 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 boolean isLinear()
ModuleMorphism
isLinear
in class ModuleMorphism
public boolean isConstant()
ModuleMorphism
isConstant
in class ModuleMorphism
public ModuleMorphism getFirstMorphism()
public ModuleMorphism getSecondMorphism()
public ModuleMorphism getRingMorphism()
ModuleMorphism
getRingMorphism
in class ModuleMorphism
public int compareTo(ModuleMorphism object)
ModuleMorphism
compareTo
in interface java.lang.Comparable<ModuleMorphism>
compareTo
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 ModuleMorphism 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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