Class Rectangle<C extends RingElem<C> & Rational>

java.lang.Object
edu.jas.root.Rectangle<C>
Type Parameters:
C - coefficient type.
All Implemented Interfaces:
Serializable
public class Rectangle<C extends RingElem<C> & Rational> extends Object implements Serializable
Rectangle. For example isolating rectangle for complex roots.
See Also:

  • Field Details

  • Constructor Details

    • Rectangle

      Rectangle(Complex<C>[] c)
      Constructor.
      Parameters:
      c - array of corners.

    • Rectangle

      public Rectangle(Complex<C> mid)
      Constructor.
      Parameters:
      mid - corner.

    • Rectangle

      public Rectangle(Complex<C> sw, Complex<C> ne)
      Constructor.
      Parameters:
      sw - corner.
      ne - corner.

    • Rectangle

      public Rectangle(Complex<C> nw, Complex<C> sw, Complex<C> se, Complex<C> ne)
      Constructor. 
       nw|0 ne|3
 sw|1 se|2
      Parameters:
      nw - corner.
      sw - corner.
      se - corner.
      ne - corner.

  • Method Details

    • toString

      public String toString()
      String representation of Rectangle.
      Overrides:
      toString in class Object
      See Also:

    • toScript

      public String toScript()
      Get a scripting compatible string representation.
      Returns:
      script compatible representation for this Rectangle.

    • getNW

      public Complex<C> getNW()
      Get north west corner.
      Returns:
      north west corner of this rectangle.

    • getSW

      public Complex<C> getSW()
      Get south west corner.
      Returns:
      south west corner of this rectangle.

    • getSE

      public Complex<C> getSE()
      Get south east corner.
      Returns:
      south east corner of this rectangle.

    • getNE

      public Complex<C> getNE()
      Get north east corner.
      Returns:
      north east corner of this rectangle.

    • exchangeNW

      public Rectangle<C> exchangeNW(Complex<C> c)
      Exchange NW corner.
      Parameters:
      c - new NW corner.
      Returns:
      rectangle with north west corner c of this rectangle.

    • exchangeSW

      public Rectangle<C> exchangeSW(Complex<C> c)
      Exchange SW corner.
      Parameters:
      c - new SW corner.
      Returns:
      rectangle with south west corner c of this rectangle.

    • exchangeSE

      public Rectangle<C> exchangeSE(Complex<C> c)
      Exchange SE corner.
      Parameters:
      c - new SE corner.
      Returns:
      rectangle with south east corner c of this rectangle.

    • exchangeNE

      public Rectangle<C> exchangeNE(Complex<C> c)
      Exchange NE corner.
      Parameters:
      c - new NE corner.
      Returns:
      rectangle with north east corner c of this rectangle.

    • contains

      public boolean contains(Complex<C> c)
      Contains a point.
      Parameters:
      c - point.
      Returns:
      true if c is contained in this rectangle, else false.

    • contains

      public boolean contains(Rectangle<C> r)
      Contains a rectangle.
      Parameters:
      r - rectangle.
      Returns:
      true if r is contained in this rectangle, else false.

    • randomPoint

      public Complex<C> randomPoint()
      Random point of recatangle.
      Returns:
      a random point contained in this rectangle.

    • copy

      public Rectangle<C> copy()
      Copy this.
      Returns:
      a copy of this.

    • 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 Rectangle.
      Overrides:
      hashCode in class Object
      See Also:

    • getCenter

      public Complex<C> getCenter()
      Complex center.
      Returns:
      r + i m of the center.

    • getRationalCenter

      public Complex<BigRational> getRationalCenter()
      Complex of BigRational approximation of center.
      Returns:
      r + i m as rational approximation of the center.

    • getDecimalCenter

      public Complex<BigDecimal> getDecimalCenter()
      Complex of BigDecimal approximation of center.
      Returns:
      r + i m as decimal approximation of the center.

    • centerApprox

      public String centerApprox()
      Approximation of center.
      Returns:
      r + i m as string of decimal approximation of the center.

    • length

      public C length()
      Length.
      Returns:
      |ne-sw|**2;

    • rationalLength

      public BigRational rationalLength()
      Rational Length.
      Returns:
      rational(|ne-sw|**2);

    • lengthReal

      public C lengthReal()
      Length real side.
      Returns:
      |re(ne)-re(sw)|;

    • lengthImag

      public C lengthImag()
      Length imaginary side.
      Returns:
      |im(ne)-im(sw)|;