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.Cloneable, 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

GenVectorModul<C>	modul
java.util.List<C>	val

Constructor Summary

	GenVector(GenVectorModul<C> m) Constructors for GenVector.
protected	GenVector(GenVectorModul<C> m, java.util.List<C> v)

Method Summary

GenVector<C>	abs() Absolute value of this vector.
GenVector<C>	clone() clone method.
int	compareTo(GenVector<C> b) compareTo, lexicogaphical comparison.
boolean	equals(java.lang.Object other) equals method.
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 compination 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 compination of this vector with scalar multiple of other vector.
GenVector<C>	linearCombination(C s, GenVector<C> b, C t) Linear compination of this vector with scalar multiple of other vector.
GenVector<C>	linearCombination(GenVector<C> b, C t) Linear compination 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	toString() toString method.

Methods inherited from class java.lang.Object

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)

Constructors for GenVector.

GenVector

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

Method Detail

toString

public java.lang.String toString()

toString method.

Overrides:

toString in class java.lang.Object

clone

public GenVector<C> clone()

clone method.

Specified by:

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

Overrides:

clone in class java.lang.Object

Returns:

Creates and returns a copy of this Elemnt.

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

See Also:

Object.hashCode()

Returns:

the hashCode.

compareTo

public int compareTo(GenVector<C> b)

compareTo, lexicogaphical 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>>>

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>>>

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.

Returns:

s*this

linearCombination

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

Linear compination 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 - module element

t - scalar

Returns:

this*s+b*t

linearCombination

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

Linear compination 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 - module element

t - scalar

Returns:

this+b*t

linearCombination

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

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

Returns:

this+t*b

leftLinearCombination

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

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

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 - module element

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 module elements

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.

Returns:

b * this