edu.jas.vector

Class GenVector<C extends RingElem<C>>

java.lang.Object

edu.jas.vector.GenVector<C>

All Implemented Interfaces:

AbelianGroupElem<GenVector<C>>, Element<GenVector<C>>, ModulElem<GenVector<C>,C>, java.io.Serializable, java.lang.Comparable<GenVector<C>>

public class GenVector<C extends RingElem<C>>
extends java.lang.Object
implements ModulElem<GenVector<C>,C>

GenVector implements generic vectors with RingElem entries. Vectors of n columns over C.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
GenVectorModul<C>	modul
java.util.List<C>	val

Constructor Summary

Constructors

Constructor and Description
GenVector(GenVectorModul<C> m) Constructor for zero GenVector.
GenVector(GenVectorModul<C> m, java.util.List<C> v) Constructor for GenVector.

Method Summary

Modifier and Type	Method and Description
GenVector<C>	abs() Absolute value of this vector.
int	compareTo(GenVector<C> b) compareTo, lexicographical comparison.
GenVector<C>	copy() clone method.
boolean	equals(java.lang.Object other) equals method.
GenVectorModul<C>	factory() Get the corresponding element factory.
int	hashCode() Hash code for this GenVector.
boolean	isZERO() test if this is equal to a zero vector.
GenVector<C>	leftLinearCombination(C s, C t, GenVector<C> b) left linear combination of this vector with scalar multiple of other vector.
GenVector<C>	leftScalarMultiply(C s) Left product of this vector with scalar.
GenVector<C>	linearCombination(C t, GenVector<C> b) Left linear combination of this vector with scalar multiple of other vector.
GenVector<C>	linearCombination(C s, GenVector<C> b, C t) Linear combination of this vector with scalar multiple of other vector.
GenVector<C>	linearCombination(GenVector<C> b, C t) Linear combination of this vector with scalar multiple of other vector.
GenVector<C>	negate() Negative of this vector.
GenVector<C>	rightScalarProduct(java.util.List<GenVector<C>> B) right scalar / dot product of this vector with list of other vectors.
GenVector<C>	scalarMultiply(C s) Product of this vector with scalar.
C	scalarProduct(GenVector<C> b) scalar / dot product of this vector with other vector.
GenVector<C>	scalarProduct(java.util.List<GenVector<C>> B) scalar / dot product of this vector with list of other vectors.
int	signum() sign of vector.
GenVector<C>	subtract(GenVector<C> b) Difference of vectors.
GenVector<C>	sum(GenVector<C> b) Sum of vectors.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toScriptFactory() Get a scripting compatible string representation of the factory.
java.lang.String	toString() Get the String representation as RingElem.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

modul

public final GenVectorModul<C extends RingElem<C>> modul

val

public final java.util.List<C extends RingElem<C>> val

Constructor Detail

GenVector

public GenVector(GenVectorModul<C> m)

Constructor for zero GenVector.

GenVector

public GenVector(GenVectorModul<C> m,
                 java.util.List<C> v)

Constructor for GenVector.

Method Detail

toString

public java.lang.String toString()

Get the String representation as RingElem.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.String toScript()

Get a scripting compatible string representation.

Specified by:

toScript in interface Element<GenVector<C extends RingElem<C>>>

Returns:

script compatible representation for this Element.

See Also:

Element.toScript()

toScriptFactory

public java.lang.String toScriptFactory()

Get a scripting compatible string representation of the factory.

Specified by:

toScriptFactory in interface Element<GenVector<C extends RingElem<C>>>

Returns:

script compatible representation for this ElemFactory.

See Also:

Element.toScriptFactory()

factory

public GenVectorModul<C> factory()

Get the corresponding element factory.

Specified by:

factory in interface Element<GenVector<C extends RingElem<C>>>

Returns:

factory for this Element.

See Also:

Element.factory()

copy

public GenVector<C> copy()

clone method.

Specified by:

copy in interface Element<GenVector<C extends RingElem<C>>>

Returns:

Creates and returns a copy of this Element.

See Also:

Object.clone()

isZERO

public boolean isZERO()

test if this is equal to a zero vector.

Specified by:

isZERO in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Returns:

true if this is 0, else false.

equals

public boolean equals(java.lang.Object other)

equals method.

Specified by:

equals in interface Element<GenVector<C extends RingElem<C>>>

Overrides:

equals in class java.lang.Object

Returns:

true if this is equal to b, else false.

hashCode

public int hashCode()

Hash code for this GenVector.

Specified by:

hashCode in interface Element<GenVector<C extends RingElem<C>>>

Overrides:

hashCode in class java.lang.Object

Returns:

the hashCode.

See Also:

Object.hashCode()

compareTo

public int compareTo(GenVector<C> b)

compareTo, lexicographical comparison.

Specified by:

compareTo in interface Element<GenVector<C extends RingElem<C>>>

Specified by:

compareTo in interface java.lang.Comparable<GenVector<C extends RingElem<C>>>

Parameters:

b - other

Returns:

1 if (this < b), 0 if (this == b) or -1 if (this > b).

signum

public int signum()

sign of vector.

Specified by:

signum in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Returns:

1 if (this < 0), 0 if (this == 0) or -1 if (this > 0).

sum

public GenVector<C> sum(GenVector<C> b)

Sum of vectors.

Specified by:

sum in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Parameters:

b - other vector.

Returns:

this+b

subtract

public GenVector<C> subtract(GenVector<C> b)

Difference of vectors.

Specified by:

subtract in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Parameters:

b - other vector.

Returns:

this-b

negate

public GenVector<C> negate()

Negative of this vector.

Specified by:

negate in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Returns:

-this

abs

public GenVector<C> abs()

Absolute value of this vector.

Specified by:

abs in interface AbelianGroupElem<GenVector<C extends RingElem<C>>>

Returns:

abs(this)

scalarMultiply

public GenVector<C> scalarMultiply(C s)

Product of this vector with scalar.

Specified by:

scalarMultiply in interface ModulElem<GenVector<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

s - scalar.

Returns:

this*s

leftScalarMultiply

public GenVector<C> leftScalarMultiply(C s)

Left product of this vector with scalar.

Parameters:

s - scalar.

Returns:

s*this

linearCombination

public GenVector<C> linearCombination(C s,
                                      GenVector<C> b,
                                      C t)

Linear combination of this vector with scalar multiple of other vector.

Specified by:

linearCombination in interface ModulElem<GenVector<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

s - scalar.

b - other vector.

t - scalar.

Returns:

this*s+b*t

linearCombination

public GenVector<C> linearCombination(GenVector<C> b,
                                      C t)

Linear combination of this vector with scalar multiple of other vector.

Specified by:

linearCombination in interface ModulElem<GenVector<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

b - other vector.

t - scalar.

Returns:

this+b*t

linearCombination

public GenVector<C> linearCombination(C t,
                                      GenVector<C> b)

Left linear combination of this vector with scalar multiple of other vector.

Parameters:

b - other vector.

t - scalar.

Returns:

this+t*b

leftLinearCombination

public GenVector<C> leftLinearCombination(C s,
                                          C t,
                                          GenVector<C> b)

left linear combination of this vector with scalar multiple of other vector.

Parameters:

s - scalar.

b - other vector.

t - scalar.

Returns:

s*this+t*b

scalarProduct

public C scalarProduct(GenVector<C> b)

scalar / dot product of this vector with other vector.

Specified by:

scalarProduct in interface ModulElem<GenVector<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

b - other vector.

Returns:

this . b

scalarProduct

public GenVector<C> scalarProduct(java.util.List<GenVector<C>> B)

scalar / dot product of this vector with list of other vectors.

Specified by:

scalarProduct in interface ModulElem<GenVector<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

B - list of vectors.

Returns:

this * b

rightScalarProduct

public GenVector<C> rightScalarProduct(java.util.List<GenVector<C>> B)

right scalar / dot product of this vector with list of other vectors.

Parameters:

B - list of vectors.

Returns:

b * this