org.rubato.math.module
Class PolynomialProperFreeModule

java.lang.Object
  extended by org.rubato.math.module.ProperFreeModule
      extended by org.rubato.math.module.PolynomialProperFreeModule
All Implemented Interfaces:
java.io.Serializable, java.lang.Comparable<Module>, FreeModule, Module, PolynomialFreeModule, XMLInputOutput<Module>

public final class PolynomialProperFreeModule
extends ProperFreeModule
implements PolynomialFreeModule

Free modules over polynomials.

Author:
Gérard Milmeister
See Also:
PolynomialProperFreeElement, Serialized Form

Method Summary
 PolynomialProperFreeElement cast(ModuleElement element)
          Casts element to an element in this module if possible.
 int compareTo(Module object)
          Compares this module with object.
 PolynomialProperFreeElement createElement(java.util.List<ModuleElement> elements)
          Creates an element in this module from a list of module elements.
 boolean equals(java.lang.Object object)
          Returns true iff this module is equals to object.
 Module fromXML(XMLReader reader, org.w3c.dom.Element element)
          Reads XML representation from reader starting with element.
 Ring getCoefficientRing()
          Returns the ring of the coefficients of the polynomials.
 PolynomialRing getComponentModule(int i)
          Returns the i-th component module.
 java.lang.String getElementTypeName()
          Returns the value of the type attribute for this class.
 java.lang.String getIndeterminate()
          Returns the indeterminate of this polynomial module.
 PolynomialFreeModule getNullModule()
          Returns the null-module corresponding to this module.
 PolynomialRing getRing()
          Returns the underlying ring of this module.
 PolynomialFreeElement getUnitElement(int i)
          Returns the unit vector with 1 at position i.
static XMLInputOutput<Module> getXMLInputOutput()
           
 PolynomialFreeElement getZero()
          Returns the zero element in this module.
 boolean hasElement(ModuleElement element)
          Returns true iff element is an element of this module.
 int hashCode()
          Returns the hash code for this module.
 boolean isNullModule()
          Returns true iff this is a null-module.
 boolean isVectorspace()
          Returns true if this free module is a vector space.
static PolynomialFreeModule make(PolynomialRing polyRing, int dimension)
           
static PolynomialFreeModule make(Ring coefficientRing, java.lang.String indeterminate, int dimension)
           
 PolynomialProperFreeElement parseString(java.lang.String string)
          Creates an element in this module from a string representation.
 java.lang.String toString()
          Returns a human readable string representation of this module.
 java.lang.String toVisualString()
          Returns a human readable string representation of this module.
 void toXML(XMLWriter writer)
          Outputs XML representation to writer.
 
Methods inherited from class org.rubato.math.module.ProperFreeModule
getDimension, getIdentityMorphism, getInjection, getProjection, getTranslation, isRing
 
Methods inherited from class java.lang.Object
getClass, notify, notifyAll, wait, wait, wait
 
Methods inherited from interface org.rubato.math.module.FreeModule
getInjection, getProjection
 
Methods inherited from interface org.rubato.math.module.Module
getDimension, getIdentityMorphism, getTranslation, isRing
 

Method Detail

make

public static PolynomialFreeModule make(Ring coefficientRing,
                                        java.lang.String indeterminate,
                                        int dimension)

make

public static PolynomialFreeModule make(PolynomialRing polyRing,
                                        int dimension)

getZero

public PolynomialFreeElement getZero()
Description copied from interface: Module
Returns the zero element in this module.

Specified by:
getZero in interface Module

getUnitElement

public PolynomialFreeElement getUnitElement(int i)
Description copied from interface: FreeModule
Returns the unit vector with 1 at position i.

Specified by:
getUnitElement in interface FreeModule

getNullModule

public PolynomialFreeModule getNullModule()
Description copied from interface: Module
Returns the null-module corresponding to this module.

Specified by:
getNullModule in interface Module

isNullModule

public boolean isNullModule()
Description copied from interface: Module
Returns true iff this is a null-module.

Specified by:
isNullModule in interface Module

getComponentModule

public PolynomialRing getComponentModule(int i)
Description copied from interface: Module
Returns the i-th component module.

Specified by:
getComponentModule in interface Module

getRing

public PolynomialRing getRing()
Description copied from interface: Module
Returns the underlying ring of this module.

Specified by:
getRing in interface Module

getCoefficientRing

public Ring getCoefficientRing()
Description copied from interface: PolynomialFreeModule
Returns the ring of the coefficients of the polynomials.

Specified by:
getCoefficientRing in interface PolynomialFreeModule

getIndeterminate

public java.lang.String getIndeterminate()
Description copied from interface: PolynomialFreeModule
Returns the indeterminate of this polynomial module.

Specified by:
getIndeterminate in interface PolynomialFreeModule

isVectorspace

public boolean isVectorspace()
Description copied from interface: FreeModule
Returns true if this free module is a vector space.

Specified by:
isVectorspace in interface FreeModule

hasElement

public boolean hasElement(ModuleElement element)
Description copied from interface: Module
Returns true iff element is an element of this module.

Specified by:
hasElement in interface Module

compareTo

public int compareTo(Module object)
Description copied from interface: Module
Compares this module with object.

Specified by:
compareTo in interface java.lang.Comparable<Module>
Specified by:
compareTo in interface Module
Overrides:
compareTo in class ProperFreeModule

createElement

public PolynomialProperFreeElement createElement(java.util.List<ModuleElement> elements)
Description copied from interface: Module
Creates an element in this module from a list of module elements.

Specified by:
createElement in interface Module
Returns:
null if no element in this module can be created from the arguments.

cast

public PolynomialProperFreeElement cast(ModuleElement element)
Description copied from interface: Module
Casts element to an element in this module if possible.

Specified by:
cast in interface Module
Returns:
null if cast is not possible

equals

public boolean equals(java.lang.Object object)
Description copied from interface: Module
Returns true iff this module is equals to object.

Specified by:
equals in interface Module
Overrides:
equals in class java.lang.Object

parseString

public PolynomialProperFreeElement parseString(java.lang.String string)
Description copied from interface: Module
Creates an element in this module from a string representation.

Specified by:
parseString in interface Module
Returns:
null if the string is in the wrong format

toString

public java.lang.String toString()
Description copied from interface: Module
Returns a human readable string representation of this module. The representation is not meant to be parseable.

Specified by:
toString in interface Module
Overrides:
toString in class java.lang.Object

toVisualString

public java.lang.String toVisualString()
Description copied from interface: Module
Returns a human readable string representation of this module. The representation is not meant to be parseable. The string should be a short representation, possibly using Unicode characters.

Specified by:
toVisualString in interface Module

toXML

public void toXML(XMLWriter writer)
Description copied from interface: XMLInputOutput
Outputs XML representation to writer.

Specified by:
toXML in interface XMLInputOutput<Module>

fromXML

public Module fromXML(XMLReader reader,
                      org.w3c.dom.Element element)
Description copied from interface: XMLInputOutput
Reads XML representation from reader starting with element.

Specified by:
fromXML in interface XMLInputOutput<Module>
Returns:
an object of type T or null if parsing failed

getXMLInputOutput

public static XMLInputOutput<Module> getXMLInputOutput()

getElementTypeName

public java.lang.String getElementTypeName()
Description copied from interface: XMLInputOutput
Returns the value of the type attribute for this class.

Specified by:
getElementTypeName in interface XMLInputOutput<Module>

hashCode

public int hashCode()
Description copied from interface: Module
Returns the hash code for this module.

Specified by:
hashCode in interface Module
Overrides:
hashCode in class java.lang.Object