JSci.maths.fields.IntegerRing Maven / Gradle / Ivy
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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software.
It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ...
Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).
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package JSci.maths.fields;
import JSci.maths.*;
import JSci.maths.groups.AbelianGroup;
/**
* The IntegerRing class encapsulates the ring of integer numbers.
* @version 1.0
* @author Mark Hale
*/
public final class IntegerRing extends Object implements Ring {
public final static MathInteger ZERO=new MathInteger(0);
public final static MathInteger ONE=new MathInteger(1);
private final static IntegerRing _instance = new IntegerRing();
/**
* Constructs a ring of integer numbers.
*/
private IntegerRing() {}
/**
* Constructs a ring of integer numbers.
* Singleton.
*/
public static final IntegerRing getInstance() {
return _instance;
}
/**
* Returns the integer number zero.
*/
public AbelianGroup.Member zero() {
return ZERO;
}
/**
* Returns true if the integer number is equal to zero.
*/
public boolean isZero(AbelianGroup.Member g) {
return ZERO.equals(g);
}
/**
* Returns true if one integer number is the negative of the other.
*/
public boolean isNegative(AbelianGroup.Member a, AbelianGroup.Member b) {
return ZERO.equals(a.add(b));
}
/**
* Returns the integer number one.
*/
public Ring.Member one() {
return ONE;
}
/**
* Returns true if the integer number is equal to one.
*/
public boolean isOne(Ring.Member r) {
return ONE.equals(r);
}
}