edu.jas.poly
Class ExpVectorByte

java.lang.Object
  edu.jas.poly.ExpVector
      edu.jas.poly.ExpVectorByte

All Implemented Interfaces:

AbelianGroupElem<ExpVector>, Element<ExpVector>, java.io.Serializable, java.lang.Cloneable, java.lang.Comparable<ExpVector>

public class ExpVectorByte
extends ExpVector

ExpVectorByte implements exponent vectors for polynomials using arrays of byte as storage unit. This class is used by ExpVector internally, there is no need to use this class directly.

Author:

Heinz Kredel

See Also:

ExpVector, Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class edu.jas.poly.ExpVector

ExpVector.StorUnit

Field Summary

static long	maxByte Largest byte.
static long	minByte Smallest byte.

Fields inherited from class edu.jas.poly.ExpVector

hash, storunit

Constructor Summary

protected	ExpVectorByte(byte[] v) Internal constructor for ExpVector.
	ExpVectorByte(int n) Constructor for ExpVector.
	ExpVectorByte(int n, int i, byte e) Constructor for ExpVector.
	ExpVectorByte(int n, int i, long e) Constructor for ExpVector.
	ExpVectorByte(long[] v) Constructor for ExpVector.
	ExpVectorByte(java.lang.String s) Constructor for ExpVector.

Method Summary

ExpVectorByte	abs() ExpVector absolute value.
ExpVectorByte	clone() Clone this.
ExpVectorByte	combine(ExpVector V) Combine with ExpVector.
int	compareTo(ExpVector V) ExpVector compareTo.
ExpVectorByte	contract(int i, int len) Contract variables.
int[]	dependencyOnVariables() ExpVector dependency on variables.
boolean	equals(java.lang.Object B) Comparison with any other object.
ExpVectorByte	extend(int i, int j, long e) Extend variables.
ExpVectorByte	extendLower(int i, int j, long e) Extend lower variables.
ExpVectorByte	gcd(ExpVector V) ExpVector greatest common divisor.
long	getVal(int i) Get the exponent at position i.
int	invGradCompareTo(ExpVector V) ExpVector inverse graded lexicographical compareTo.
int	invGradCompareTo(ExpVector V, int begin, int end) ExpVector inverse graded lexicographical compareTo.
int	invLexCompareTo(ExpVector V) ExpVector inverse lexicographical compareTo.
int	invLexCompareTo(ExpVector V, int begin, int end) ExpVector inverse lexicographical compareTo.
int	invWeightCompareTo(long[][] w, ExpVector V) ExpVector inverse weighted lexicographical compareTo.
int	invWeightCompareTo(long[][] w, ExpVector V, int begin, int end) ExpVector inverse weighted lexicographical compareTo.
ExpVectorByte	lcm(ExpVector V) ExpVector least common multiple.
int	length() Get the length of this exponent vector.
long	maxDeg() ExpVector maximal degree.
boolean	multipleOf(ExpVector V) ExpVector multiple test.
ExpVectorByte	negate() ExpVector negate.
ExpVectorByte	reverse() Reverse variables.
ExpVectorByte	reverse(int j) Reverse j variables.
int	revInvGradCompareTo(ExpVector V) ExpVector reverse inverse graded compareTo.
int	revInvGradCompareTo(ExpVector V, int begin, int end) ExpVector reverse inverse graded compareTo.
int	revInvLexCompareTo(ExpVector V) ExpVector reverse inverse lexicographical compareTo.
int	revInvLexCompareTo(ExpVector V, int begin, int end) ExpVector reverse inverse lexicographical compareTo.
protected byte	setVal(int i, byte e) Set the exponent at position i to e.
protected long	setVal(int i, long e) Set the exponent at position i to e.
int	signum() ExpVector signum.
ExpVectorByte	subst(int i, byte d) ExpVector substitution.
ExpVectorByte	subst(int i, long d) ExpVector substitution.
ExpVectorByte	subtract(ExpVector V) ExpVector subtract.
ExpVectorByte	sum(ExpVector V) ExpVector summation.
java.lang.String	toString() Get the string representation.
long	totalDeg() ExpVector total degree.
long	weightDeg(long[][] w) ExpVector weighted degree.

Methods inherited from class edu.jas.poly.ExpVector

create, create, create, create, create, divides, EVABS, evaluate, EVDIF, EVDOV, EVGCD, EVIGLC, EVIGLC, EVILCP, EVILCP, EVIWLC, EVIWLC, EVLCM, EVMDEG, EVMT, EVNEG, EVRAND, EVRAND, EVRIGLC, EVRIGLC, EVRILCP, EVRILCP, EVSIGN, EVSU, EVSUM, EVTDEG, EVWDEG, factory, hashCode, indexVar, indexVarName, isFinite, isZERO, random, random, stdVars, STDVARS, stdVars, STDVARS, toScript, toScript, toScriptFactory, toString, varIndex

Methods inherited from class java.lang.Object

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

Field Detail

maxByte

public static long maxByte

Largest byte.

minByte

public static long minByte

Smallest byte.

Constructor Detail

ExpVectorByte

public ExpVectorByte(int n)

Constructor for ExpVector.

Parameters:

n - length of exponent vector.

ExpVectorByte

public ExpVectorByte(int n,
                     int i,
                     byte e)

Constructor for ExpVector. Sets exponent i to e.

Parameters:

n - length of exponent vector.

i - index of exponent to be set.

e - exponent to be set.

ExpVectorByte

public ExpVectorByte(int n,
                     int i,
                     long e)

Constructor for ExpVector. Sets exponent i to e.

Parameters:

n - length of exponent vector.

i - index of exponent to be set.

e - exponent to be set.

ExpVectorByte

protected ExpVectorByte(byte[] v)

Internal constructor for ExpVector. Sets val.

Parameters:

v - internal representation array.

ExpVectorByte

public ExpVectorByte(long[] v)

Constructor for ExpVector. Sets val, converts from long array.

Parameters:

v - long representation array.

ExpVectorByte

public ExpVectorByte(java.lang.String s)
              throws java.lang.NumberFormatException

Constructor for ExpVector. Converts a String representation to an ExpVector. Accepted format = (1,2,3,4,5,6,7).

Parameters:

s - String representation.

Throws:

java.lang.NumberFormatException

Method Detail

clone

public ExpVectorByte clone()

Clone this.

Specified by:

clone in class ExpVector

See Also:

Object.clone()

getVal

public long getVal(int i)

Get the exponent at position i.

Specified by:

getVal in class ExpVector

Parameters:

i - position.

Returns:

val[i].

setVal

protected long setVal(int i,
                      long e)

Set the exponent at position i to e.

Specified by:

setVal in class ExpVector

Parameters:

i -

e -

Returns:

old val[i].

setVal

protected byte setVal(int i,
                      byte e)

Set the exponent at position i to e.

Parameters:

i -

e -

Returns:

old val[i].

length

public int length()

Get the length of this exponent vector.

Specified by:

length in class ExpVector

Returns:

val.length.

extend

public ExpVectorByte extend(int i,
                            int j,
                            long e)

Extend variables. Used e.g. in module embedding. Extend this by i elements and set val[j] to e.

Specified by:

extend in class ExpVector

Parameters:

i - number of elements to extend.

j - index of element to be set.

e - new exponent for val[j].

Returns:

extended exponent vector.

extendLower

public ExpVectorByte extendLower(int i,
                                 int j,
                                 long e)

Extend lower variables. Extend this by i lower elements and set val[j] to e.

Specified by:

extendLower in class ExpVector

Parameters:

i - number of elements to extend.

j - index of element to be set.

e - new exponent for val[j].

Returns:

extended exponent vector.

contract

public ExpVectorByte contract(int i,
                              int len)

Contract variables. Used e.g. in module embedding. Contract this to len elements.

Specified by:

contract in class ExpVector

Parameters:

i - position of first element to be copied.

len - new length.

Returns:

contracted exponent vector.

reverse

public ExpVectorByte reverse()

Reverse variables. Used e.g. in opposite rings.

Specified by:

reverse in class ExpVector

Returns:

reversed exponent vector.

reverse

public ExpVectorByte reverse(int j)

Reverse j variables. Used e.g. in opposite rings. Reverses the first j-1 variables, the rest is unchanged.

Specified by:

reverse in class ExpVector

Parameters:

j - index of first variable not reversed.

Returns:

reversed exponent vector.

combine

public ExpVectorByte combine(ExpVector V)

Combine with ExpVector. Combine this with the other ExpVector V.

Specified by:

combine in class ExpVector

Parameters:

V - the other exponent vector.

Returns:

combined exponent vector.

toString

public java.lang.String toString()

Get the string representation.

Overrides:

toString in class ExpVector

See Also:

Object.toString()

equals

public boolean equals(java.lang.Object B)

Comparison with any other object.

Specified by:

equals in interface Element<ExpVector>

Overrides:

equals in class ExpVector

Returns:

true if this is equal to b, else false.

See Also:

Object.equals(java.lang.Object)

abs

public ExpVectorByte abs()

ExpVector absolute value.

Specified by:

abs in interface AbelianGroupElem<ExpVector>

Specified by:

abs in class ExpVector

Returns:

abs(this).

negate

public ExpVectorByte negate()

ExpVector negate.

Specified by:

negate in interface AbelianGroupElem<ExpVector>

Specified by:

negate in class ExpVector

Returns:

-this.

sum

public ExpVectorByte sum(ExpVector V)

ExpVector summation.

Specified by:

sum in interface AbelianGroupElem<ExpVector>

Specified by:

sum in class ExpVector

Parameters:

V -

Returns:

this+V.

subtract

public ExpVectorByte subtract(ExpVector V)

ExpVector subtract. Result may have negative entries.

Specified by:

subtract in interface AbelianGroupElem<ExpVector>

Specified by:

subtract in class ExpVector

Parameters:

V -

Returns:

this-V.

subst

public ExpVectorByte subst(int i,
                           byte d)

ExpVector substitution. Clone and set exponent to d at position i.

Parameters:

i - position.

d - new exponent.

Returns:

substituted ExpVector.

subst

public ExpVectorByte subst(int i,
                           long d)

ExpVector substitution. Clone and set exponent to d at position i.

Overrides:

subst in class ExpVector

Parameters:

i - position.

d - new exponent.

Returns:

substituted ExpVector.

signum

public int signum()

ExpVector signum.

Specified by:

signum in interface AbelianGroupElem<ExpVector>

Specified by:

signum in class ExpVector

Returns:

0 if this is zero, -1 if some entry is negative, 1 if no entry is negative and at least one entry is positive.

totalDeg

public long totalDeg()

ExpVector total degree.

Specified by:

totalDeg in class ExpVector

Returns:

sum of all exponents.

maxDeg

public long maxDeg()

ExpVector maximal degree.

Specified by:

maxDeg in class ExpVector

Returns:

maximal exponent.

weightDeg

public long weightDeg(long[][] w)

ExpVector weighted degree.

Specified by:

weightDeg in class ExpVector

Parameters:

w - weights.

Returns:

weighted sum of all exponents.

lcm

public ExpVectorByte lcm(ExpVector V)

ExpVector least common multiple.

Specified by:

lcm in class ExpVector

Parameters:

V -

Returns:

component wise maximum of this and V.

gcd

public ExpVectorByte gcd(ExpVector V)

ExpVector greatest common divisor.

Specified by:

gcd in class ExpVector

Parameters:

V -

Returns:

component wise minimum of this and V.

dependencyOnVariables

public int[] dependencyOnVariables()

ExpVector dependency on variables.

Specified by:

dependencyOnVariables in class ExpVector

Returns:

array of indices where val has positive exponents.

multipleOf

public boolean multipleOf(ExpVector V)

ExpVector multiple test. Test if this is component wise greater or equal to V.

Specified by:

multipleOf in class ExpVector

Parameters:

V -

Returns:

true if this is a multiple of V, else false.

compareTo

public int compareTo(ExpVector V)

ExpVector compareTo.

Specified by:

compareTo in interface Element<ExpVector>

Specified by:

compareTo in interface java.lang.Comparable<ExpVector>

Overrides:

compareTo in class ExpVector

Parameters:

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invLexCompareTo

public int invLexCompareTo(ExpVector V)

ExpVector inverse lexicographical compareTo.

Specified by:

invLexCompareTo in class ExpVector

Parameters:

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invLexCompareTo

public int invLexCompareTo(ExpVector V,
                           int begin,
                           int end)

ExpVector inverse lexicographical compareTo.

Specified by:

invLexCompareTo in class ExpVector

Parameters:

V -

begin -

end -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invGradCompareTo

public int invGradCompareTo(ExpVector V)

ExpVector inverse graded lexicographical compareTo.

Specified by:

invGradCompareTo in class ExpVector

Parameters:

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invGradCompareTo

public int invGradCompareTo(ExpVector V,
                            int begin,
                            int end)

ExpVector inverse graded lexicographical compareTo.

Specified by:

invGradCompareTo in class ExpVector

Parameters:

V -

begin -

end -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

revInvLexCompareTo

public int revInvLexCompareTo(ExpVector V)

ExpVector reverse inverse lexicographical compareTo.

Specified by:

revInvLexCompareTo in class ExpVector

Parameters:

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

revInvLexCompareTo

public int revInvLexCompareTo(ExpVector V,
                              int begin,
                              int end)

ExpVector reverse inverse lexicographical compareTo.

Specified by:

revInvLexCompareTo in class ExpVector

Parameters:

V -

begin -

end -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

revInvGradCompareTo

public int revInvGradCompareTo(ExpVector V)

ExpVector reverse inverse graded compareTo.

Specified by:

revInvGradCompareTo in class ExpVector

Parameters:

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

revInvGradCompareTo

public int revInvGradCompareTo(ExpVector V,
                               int begin,
                               int end)

ExpVector reverse inverse graded compareTo.

Specified by:

revInvGradCompareTo in class ExpVector

Parameters:

V -

begin -

end -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invWeightCompareTo

public int invWeightCompareTo(long[][] w,
                              ExpVector V)

ExpVector inverse weighted lexicographical compareTo.

Specified by:

invWeightCompareTo in class ExpVector

Parameters:

w - weight array.

V -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.

invWeightCompareTo

public int invWeightCompareTo(long[][] w,
                              ExpVector V,
                              int begin,
                              int end)

ExpVector inverse weighted lexicographical compareTo.

Specified by:

invWeightCompareTo in class ExpVector

Parameters:

w - weight array.

V -

begin -

end -

Returns:

0 if U == V, -1 if U < V, 1 if U > V.