edu.jas.poly
Class ExpVector

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

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable

public class ExpVector
extends java.lang.Object
implements java.lang.Cloneable, java.io.Serializable

ExpVector implements exponent vectors for polynomials.

See Also:

Serialized Form

Constructor Summary

ExpVector()

ExpVector(int n)
Constructors for ExpVector

ExpVector(int n, int i, long e)

ExpVector(long[] v)

ExpVector(java.lang.String s)

ExpVector(java.lang.String[] v)

Method Summary

java.lang.Object	clone()
ExpVector	contract(int i, int len)
int[]	dependencyOnVariables()
ExpVector	dif(ExpVector V)
boolean	equals(java.lang.Object B)
static int	EVCOMP(int evord, ExpVector U, ExpVector V) Compare.
static int	EVCOMP(int evord, ExpVector U, ExpVector V, int begin, int end) Compare part.
static ExpVector	EVDIF(ExpVector U, ExpVector V) Difference.
static int[]	EVDOV(ExpVector U) Dependency on variables.
static int	EVIGLC(ExpVector U, ExpVector V) Inverse graded lexicographical compare.
static int	EVIGLC(ExpVector U, ExpVector V, int begin, int end) Inverse graded lexicographical compare part.
static int	EVILCP(ExpVector U, ExpVector V) Inverse lexicographical compare.
static int	EVILCP(ExpVector U, ExpVector V, int begin, int end) Inverse lexicographical compare part.
static int	EVIWLC(long[] w, ExpVector U, ExpVector V) Inverse weighted lexicographical compare.
static int	EVIWLC(long[] w, ExpVector U, ExpVector V, int begin, int end) Inverse weighted lexicographical compare part.
static ExpVector	EVLCM(ExpVector U, ExpVector V) Least common multiple.
static boolean	EVMT(ExpVector U, ExpVector V) Multiple test.
static ExpVector	EVRAND(int r, int k)
static ExpVector	EVRAND(int r, int k, float q) Random.
static int	EVSIGN(ExpVector U) Sign.
static ExpVector	EVSU(ExpVector U, int i, long d) Substitute.
static ExpVector	EVSUM(ExpVector U, ExpVector V) Sum.
static long	EVTDEG(ExpVector U) Total degree.
static long	EVWDEG(long[] w, ExpVector U) Weighted degree.
ExpVector	extend(int i, int j, long e)
long[]	getval()
long	getVal(int i)
int	hashCode()
boolean	isZERO()
int	length()
long	setVal(int i, long e)
java.lang.String[]	stdVars() Standard vars.
static java.lang.String[]	STDVARS(int n)
ExpVector	subst(int i, long d)
ExpVector	sum(ExpVector V)
java.lang.String	toString()
java.lang.String	toString(java.lang.String[] vars)

Methods inherited from class java.lang.Object

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

Constructor Detail

ExpVector

public ExpVector(int n)

Constructors for ExpVector

ExpVector

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

ExpVector

public ExpVector()

ExpVector

public ExpVector(long[] v)

ExpVector

public ExpVector(java.lang.String[] v)

ExpVector

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

Throws:

java.lang.NumberFormatException

Method Detail

clone

public java.lang.Object clone()

Overrides:

clone in class java.lang.Object

getval

public long[] getval()

getVal

public long getVal(int i)

setVal

public long setVal(int i,
                   long e)

length

public int length()

extend

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

contract

public ExpVector contract(int i,
                          int len)

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

toString

public java.lang.String toString(java.lang.String[] vars)

equals

public boolean equals(java.lang.Object B)

Overrides:

equals in class java.lang.Object

hashCode

public int hashCode()

Overrides:

hashCode in class java.lang.Object

isZERO

public boolean isZERO()

stdVars

public java.lang.String[] stdVars()

Standard vars.

STDVARS

public static java.lang.String[] STDVARS(int n)

EVSUM

public static ExpVector EVSUM(ExpVector U,
                              ExpVector V)

Sum.

sum

public ExpVector sum(ExpVector V)

EVDIF

public static ExpVector EVDIF(ExpVector U,
                              ExpVector V)

Difference.

dif

public ExpVector dif(ExpVector V)

EVSU

public static ExpVector EVSU(ExpVector U,
                             int i,
                             long d)

Substitute.

subst

public ExpVector subst(int i,
                       long d)

EVRAND

public static ExpVector EVRAND(int r,
                               int k,
                               float q)

Random.

EVRAND

public static ExpVector EVRAND(int r,
                               int k)

EVSIGN

public static int EVSIGN(ExpVector U)

Sign.

EVTDEG

public static long EVTDEG(ExpVector U)

Total degree.

EVWDEG

public static long EVWDEG(long[] w,
                          ExpVector U)

Weighted degree.

EVLCM

public static ExpVector EVLCM(ExpVector U,
                              ExpVector V)

Least common multiple.

EVDOV

public static int[] EVDOV(ExpVector U)

Dependency on variables.

dependencyOnVariables

public int[] dependencyOnVariables()

EVMT

public static boolean EVMT(ExpVector U,
                           ExpVector V)

Multiple test.

Returns:

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

EVILCP

public static int EVILCP(ExpVector U,
                         ExpVector V)

Inverse lexicographical compare.

EVILCP

public static int EVILCP(ExpVector U,
                         ExpVector V,
                         int begin,
                         int end)

Inverse lexicographical compare part.

EVIGLC

public static int EVIGLC(ExpVector U,
                         ExpVector V)

Inverse graded lexicographical compare.

EVIWLC

public static int EVIWLC(long[] w,
                         ExpVector U,
                         ExpVector V)

Inverse weighted lexicographical compare.

EVIGLC

public static int EVIGLC(ExpVector U,
                         ExpVector V,
                         int begin,
                         int end)

Inverse graded lexicographical compare part.

EVIWLC

public static int EVIWLC(long[] w,
                         ExpVector U,
                         ExpVector V,
                         int begin,
                         int end)

Inverse weighted lexicographical compare part.

EVCOMP

public static int EVCOMP(int evord,
                         ExpVector U,
                         ExpVector V)

Compare.

EVCOMP

public static int EVCOMP(int evord,
                         ExpVector U,
                         ExpVector V,
                         int begin,
                         int end)

Compare part.