Class RiemannSumRects

  • All Implemented Interfaces:
    Computable, java.io.Serializable

    public class RiemannSumRects
    extends Drawable
    implements Computable
    A RiemannSumRects calculates a Riemann sum for a function. It implements Computable and InputObject. You can specify and change the number of intervals in the sum, as well as the method used to calculate the sum. Functions exist to return Value objects for the sum using different computations. This class was written by Gabriel Weinstock, with some modifications by David Eck
    See Also:
    Serialized Form
    • Field Summary

      Fields 
      Modifier and Type Field Description
      static int CIRCUMSCRIBED
      Summation method type.
      static int CURRENT_METHOD
      For use in getValueObject(), to indicate whatever summation method is currently set for drawing.
      static int INSCRIBED
      Summation method type.
      static int LEFTENDPOINT
      Summation method type.
      static int MIDPOINT
      Summation method type.
      static int RIGHTENDPOINT
      Summation method type.
      static int TRAPEZOID
      Summation method type.
    • Constructor Summary

      Constructors 
      Constructor Description
      RiemannSumRects()
      Construct a RiemannSumRects object that initially has nothing to draw and that is set up to use the default number of intervals, 5.
      RiemannSumRects​(Function f, Value i)
      Construct a new RiemannSumRects object.
    • Method Summary

      All Methods Instance Methods Concrete Methods 
      Modifier and Type Method Description
      void compute()
      This is generally called by a Controller.
      void draw​(java.awt.Graphics g, boolean coordsChanged)
      Draw the Rieman sum rects.
      java.awt.Color getColor()
      Get the current color used to draw the rectangles
      Function getFuction()
      Returns the function whose Riemann sums are computed.
      Value getIntervalCount()
      Get the number of intervals used.
      int getMethod()
      Return the current method used to find the rectangle sums
      java.awt.Color getOutlineColor()
      Get the color that is used to draw outlines around the rects.
      Value getValueObject​(int which)
      Gets a Value object that gives the value of the Riemann sum for the specified method.
      void setColor​(java.awt.Color c)
      Set the color used to draw the rectangles.
      void setFunction​(Function func)
      Set the function whose Riemann sums are to be computed.
      void setIntervalCount​(Value c)
      Set the interval count (the RiemannSumRects will be redrawn after this function is called).
      void setMethod​(int m)
      Set the method used to calculate the rectangles.
      void setOutlineColor​(java.awt.Color c)
      Set the color that will be used to draw outlines around the rects.
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Field Detail

      • LEFTENDPOINT

        public static final int LEFTENDPOINT
        Summation method type.
        See Also:
        Constant Field Values
      • RIGHTENDPOINT

        public static final int RIGHTENDPOINT
        Summation method type.
        See Also:
        Constant Field Values
      • CIRCUMSCRIBED

        public static final int CIRCUMSCRIBED
        Summation method type.
        See Also:
        Constant Field Values
      • CURRENT_METHOD

        public static final int CURRENT_METHOD
        For use in getValueObject(), to indicate whatever summation method is currently set for drawing.
        See Also:
        Constant Field Values
    • Constructor Detail

      • RiemannSumRects

        public RiemannSumRects()
        Construct a RiemannSumRects object that initially has nothing to draw and that is set up to use the default number of intervals, 5.
      • RiemannSumRects

        public RiemannSumRects​(Function f,
                               Value i)
        Construct a new RiemannSumRects object.
        Parameters:
        i - a Value object representing the number of intervals. If null, five intervals are used.
        f - a Function object used to derive the Riemann sum. If null, nothing is drawn.
    • Method Detail

      • getColor

        public java.awt.Color getColor()
        Get the current color used to draw the rectangles
      • setColor

        public void setColor​(java.awt.Color c)
        Set the color used to draw the rectangles. The default color is a light yellow.
      • setOutlineColor

        public void setOutlineColor​(java.awt.Color c)
        Set the color that will be used to draw outlines around the rects. If this is null, then no outlines are drawn. The default is a medium-dark red that looks brownish next to the default yellow fill color.
      • getOutlineColor

        public java.awt.Color getOutlineColor()
        Get the color that is used to draw outlines around the rects. If this is null, then no outlines are drawn.
      • setFunction

        public void setFunction​(Function func)
        Set the function whose Riemann sums are to be computed. If null, nothing is drawn. The function, if non-null, must have arity 1, or an IllegalArgumentException is thrown.
      • getFuction

        public Function getFuction()
        Returns the function whose Riemann sums are computed. Can be null.
      • setMethod

        public void setMethod​(int m)
        Set the method used to calculate the rectangles.
        Parameters:
        m - can be: LEFTENDPOINT, RIGHTENDPOINT, MIDPOINT, CIRCUMSCRIBED, INSCRIBED or TRAPEZOID (these are integers ranging from 0 to 5, respectively)
      • getMethod

        public int getMethod()
        Return the current method used to find the rectangle sums
      • compute

        public void compute()
        This is generally called by a Controller. Indicates that all data should be recomputed because input values that the data depends on might have changed.
        Specified by:
        compute in interface Computable
      • getIntervalCount

        public Value getIntervalCount()
        Get the number of intervals used.
        Returns:
        a Value object representing the number of intervals
      • setIntervalCount

        public void setIntervalCount​(Value c)
        Set the interval count (the RiemannSumRects will be redrawn after this function is called). The value will be clamped to be a value between 1 and 5000. If the value is null, the default number of intervals, five, is used.
        Parameters:
        c - a Value object representing the interval count
      • draw

        public void draw​(java.awt.Graphics g,
                         boolean coordsChanged)
        Draw the Rieman sum rects. This is generally called by an object of class CoordinateRect
        Specified by:
        draw in class Drawable
        Parameters:
        g - The graphics context in which the Drawble is to be drawn. (The drawing can change the color in g, but should not permanently change font, painting mode, etc. Thus, every drawable is responsible for setting the color it wants to use.)
        coordsChanged - Indicates whether the CoordinateRect has changed.
      • getValueObject

        public Value getValueObject​(int which)
        Gets a Value object that gives the value of the Riemann sum for the specified method.
        Parameters:
        which - integer stating the method used to derive the sum; one of the constants LEFTENDPOINT, RIGHTENDPOINT, MIDPOINT, CIRCUMSCRIBED, INSCRIBED, TRAPEZOID, or CURRENT_METHOD.
        Returns:
        a Value object representing the sum for the given method