Class QuotientTaylorFunction<C extends GcdRingElem<C>>

java.lang.Object
edu.jas.ufd.QuotientTaylorFunction<C>
Type Parameters:
C - ring element type
All Implemented Interfaces:
TaylorFunction<C>
public class QuotientTaylorFunction<C extends GcdRingElem<C>> extends Object implements TaylorFunction<C>
Polynomial quotient functions capable for Taylor series expansion.

  • Field Details

  • Constructor Details

    • QuotientTaylorFunction

      public QuotientTaylorFunction(Quotient<C> q)

    • QuotientTaylorFunction

      public QuotientTaylorFunction(Quotient<C> q, long f)

  • Method Details

    • toString

      public String toString()
      To String.
      Overrides:
      toString in class Object
      Returns:
      string representation of this.

    • getFacul

      public long getFacul()
      Get the factorial coefficient.
      Specified by:
      getFacul in interface TaylorFunction<C extends GcdRingElem<C>>
      Returns:
      factorial coefficient.

    • isZERO

      public boolean isZERO()
      Test if this is zero.
      Specified by:
      isZERO in interface TaylorFunction<C extends GcdRingElem<C>>
      Returns:
      true if this is 0, else false.

    • derivative

      public TaylorFunction<C> derivative()
      Derivative.
      Specified by:
      derivative in interface TaylorFunction<C extends GcdRingElem<C>>
      Returns:
      derivative of this.

    • derivative

      public TaylorFunction<C> derivative(int r)
      Partial derivative.
      Parameters:
      r - index of the variable.
      Returns:
      partial derivative of this with respect to variable r.

    • derivative

      public TaylorFunction<C> derivative(ExpVector i)
      Multi-partial derivative.
      Specified by:
      derivative in interface TaylorFunction<C extends GcdRingElem<C>>
      Parameters:
      i - exponent vector.
      Returns:
      partial derivative of this with respect to all variables.

    • evaluate

      public C evaluate(C a)
      Evaluate.
      Specified by:
      evaluate in interface TaylorFunction<C extends GcdRingElem<C>>
      Parameters:
      a - element.
      Returns:
      this(a).

    • evaluate

      public C evaluate(List<C> a)
      Evaluate at a tuple of elements.
      Specified by:
      evaluate in interface TaylorFunction<C extends GcdRingElem<C>>
      Parameters:
      a - tuple of elements.
      Returns:
      this(a).