Class ComplexRing<C extends RingElem<C>>

java.lang.Object
edu.jas.poly.ComplexRing<C>
Type Parameters:
C - base type.
All Implemented Interfaces:
AbelianGroupFactory<Complex<C>>, ElemFactory<Complex<C>>, MonoidFactory<Complex<C>>, RingFactory<Complex<C>>, Serializable
public class ComplexRing<C extends RingElem<C>> extends Object implements RingFactory<Complex<C>>
Generic Complex ring factory implementing the RingFactory interface. Objects of this class are immutable.
See Also:

  • Field Details

    • random

      private static final Random random

    • logger

      private static final org.apache.logging.log4j.Logger logger

    • ring

      public final RingFactory<C extends RingElem<C>> ring
      Complex class elements factory data structure.

  • Constructor Details

    • ComplexRing

      public ComplexRing(RingFactory<C> ring)
      The constructor creates a ComplexRing object.
      Parameters:
      ring - factory for Complex real and imaginary parts.

  • Method Details

    • generators

      public List<Complex<C>> generators()
      Get a list of the generating elements.
      Specified by:
      generators in interface ElemFactory<C extends RingElem<C>>
      Returns:
      list of generators for the algebraic structure.
      See Also:

    • algebraicRing

      public AlgebraicNumberRing<C> algebraicRing()
      Corresponding algebraic number ring.
      Returns:
      algebraic number ring. not jet possible.

    • isFinite

      public boolean isFinite()
      Is this structure finite or infinite.
      Specified by:
      isFinite in interface ElemFactory<C extends RingElem<C>>
      Returns:
      true if this structure is finite, else false.
      See Also:

    • copy

      public Complex<C> copy(Complex<C> c)
      Copy Complex element c.
      Specified by:
      copy in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      c - Complex<C>.
      Returns:
      a copy of c.

    • getZERO

      public Complex<C> getZERO()
      Get the zero element.
      Specified by:
      getZERO in interface AbelianGroupFactory<C extends RingElem<C>>
      Returns:
      0 as Complex<C>.

    • getONE

      public Complex<C> getONE()
      Get the one element.
      Specified by:
      getONE in interface MonoidFactory<C extends RingElem<C>>
      Returns:
      1 as Complex<C>.

    • getIMAG

      public Complex<C> getIMAG()
      Get the i element.
      Returns:
      i as Complex<C>.

    • isCommutative

      public boolean isCommutative()
      Query if this ring is commutative.
      Specified by:
      isCommutative in interface MonoidFactory<C extends RingElem<C>>
      Returns:
      true.

    • isAssociative

      public boolean isAssociative()
      Query if this ring is associative.
      Specified by:
      isAssociative in interface MonoidFactory<C extends RingElem<C>>
      Returns:
      true.

    • isField

      public boolean isField()
      Query if this ring is a field.
      Specified by:
      isField in interface RingFactory<C extends RingElem<C>>
      Returns:
      true.

    • characteristic

      public BigInteger characteristic()
      Characteristic of this ring.
      Specified by:
      characteristic in interface RingFactory<C extends RingElem<C>>
      Returns:
      characteristic of this ring.

    • fromInteger

      public Complex<C> fromInteger(BigInteger a)
      Get a Complex element from a BigInteger.
      Specified by:
      fromInteger in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      a - BigInteger.
      Returns:
      a Complex<C>.

    • fromInteger

      public Complex<C> fromInteger(long a)
      Get a Complex element from a long.
      Specified by:
      fromInteger in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      a - long.
      Returns:
      a Complex<C>.

    • toString

      public String toString()
      Get the String representation.
      Overrides:
      toString in class Object

    • toScript

      public String toScript()
      Get a scripting compatible string representation.
      Specified by:
      toScript in interface ElemFactory<C extends RingElem<C>>
      Returns:
      script compatible representation for this Element.
      See Also:

    • equals

      public boolean equals(Object b)
      Comparison with any other object.
      Overrides:
      equals in class Object
      See Also:

    • hashCode

      public int hashCode()
      Hash code for this ComplexRing<C>.
      Overrides:
      hashCode in class Object
      See Also:

    • random

      public Complex<C> random(int n)
      Complex number random. Random base numbers A and B are generated using random(n). Then R is the complex number with real part A and imaginary part B.
      Specified by:
      random in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      n - such that 0 ≤ A, B ≤ (2n-1).
      Returns:
      R.

    • random

      public Complex<C> random(int n, Random rnd)
      Complex number random. Random base numbers A and B are generated using random(n). Then R is the complex number with real part A and imaginary part B.
      Specified by:
      random in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      n - such that 0 ≤ A, B ≤ (2n-1).
      rnd - is a source for random bits.
      Returns:
      R.

    • parse

      public Complex<C> parse(String s)
      Parse complex number from string.
      Specified by:
      parse in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      s - String.
      Returns:
      Complex from s.

    • parse

      public Complex<C> parse(Reader r)
      Parse complex number from Reader.
      Specified by:
      parse in interface ElemFactory<C extends RingElem<C>>
      Parameters:
      r - Reader.
      Returns:
      next Complex from r.