Package math.numericalmethods

Class FunctionExpander

  • public class FunctionExpander
extends java.lang.Object
    Objects of this class take a function as input and convert it into its polynomial form.
    Author:
    JIBOYE Oluwagbemiro Olaoluwa

    • Field Summary

      Fields 
      Modifier and Type Field Description
      static int BIGDECIMAL_PRECISION
      Uses the precision of double numbers to expand the function.
      static int DOUBLE_PRECISION
      Uses the precision of double numbers to expand the function.

    • Constructor Summary

      Constructors 
      Constructor Description
      FunctionExpander​(double xLower, double xUpper, int degree, int precision, Function function)
      Objects of this class will employ this constructor in creating the polynomial of best fit for the input function between the given boundary values of x.
      FunctionExpander​(java.lang.String expression, int precision)  

    • Field Detail

      • DOUBLE_PRECISION

        public static final int DOUBLE_PRECISION
        Uses the precision of double numbers to expand the function. This is about 16 places of decimal.
        See Also:
        Constant Field Values

      • BIGDECIMAL_PRECISION

        public static final int BIGDECIMAL_PRECISION
        Uses the precision of double numbers to expand the function. This is about 33 places of decimal.
        CAUTION!!!!
        This should be used only if the algorithm of the parser that expands the function has this accuracy.
        See Also:
        Constant Field Values

    • Constructor Detail

      • FunctionExpander

        public FunctionExpander​(double xLower,
                        double xUpper,
                        int degree,
                        int precision,
                        Function function)
        Objects of this class will employ this constructor in creating the polynomial of best fit for the input function between the given boundary values of x. The degree parameter is the highest power of the polynomial formed. Creates a new object of this class and initializes it with the following attributes:
        Parameters:
        xLower - The lower boundary value of x.
        degree - The degree of the polynomial. It determines how accurately the polynomial will describe the function. The unit step along x will then be (xUpper - xLower)/polySize
        precision - The precision mode to employ in expanding the Function.
        function - The function string.

      • FunctionExpander

        public FunctionExpander​(java.lang.String expression,
                        int precision)
        Parameters:
        precision - The precision mode to employ in expanding the Function.
        expression - An expression containing information about the function whose polynomial expansion is to be deduced and the limits of expansion. For example: function,2,4,20....means expand the function between horizontal coordinates 2 and 3 as a polynomial up to degree 20.. Direct examples would be: sin(x+1),3,4,20 cos(sinh(x-2/tan9x)),4,4.32,32 and so on. F(x)=var x=3;3x; poly(F,4,4.32,32)

    • Method Detail

      • setFunction

        public void setFunction​(java.lang.String expression,
                        int precision)
        Parameters:
        precision - The precision mode to employ in expanding the Function.
        expression - An expression containing information about the function whose polynomial expansion is to be deduced and the limits of expansion. For example: function,2,4,20....means expand the function between horizontal coordinates 2 and 3 as a polynomial up to degree 20.. Direct examples would be: sin(x+1),3,4,20 cos(sinh(x-2/tan9x)),4,4.32,32 and so on. F(x)=var x=3;3x; poly(F,4,4.32,32)

      • setFunction

        public void setFunction​(Function function)
        Changes the Function object dealt with by this class.
        Parameters:
        function - The new Function object

      • getFunction

        public Function getFunction()

      • getDegree

        public int getDegree()

      • setDegree

        public void setDegree​(int degree)

      • setxLower

        public void setxLower​(double xLower)

      • getxLower

        public double getxLower()

      • setxUpper

        public void setxUpper​(double xUpper)

      • getxUpper

        public double getxUpper()

      • setPolynomial

        public void setPolynomial​(java.lang.String polynomial)

      • getPolynomial

        public java.lang.String getPolynomial()

      • getMatrix

        public Matrix getMatrix()
        Returns:
        the coefficient matrix of the function's polynomial.

      • getPrecisionMatrix

        public PrecisionMatrix getPrecisionMatrix()
        Returns:
        the coefficient matrix of the function's polynomial.

      • parsePolynomialCommand

        public void parsePolynomialCommand​(java.lang.String expression)
        Method that processes the format that this software will recognize for user input of an integral expression. The general format is: expression,lowerLimit,upperLimit,iterations(optional) e.g... sin(3x-5),2,5.//assuming default number of iterations which will be computed automatically sin(3x-5),2,5,50.//specifies 50 iterations. Please ensure that the function is continuous in the specified range.
        Parameters:
        expression - The expression containing the function to integrate and the lower and upper boundaries of integration. Produces an array which has: At index 0.....the expression to integrate At index 1.....the lower limit of integration At index 2.....the upper limit of integration. At index 3(optional)...the number of iterations to employ in evaluating this expression. F(x)=3x+1; poly( F,0,2,3 ) poly(F(x)=3x+1,0,2,5) OR poly(F(x),0,2,5) OR poly(F,0,2,5)

      • buildPolynomial

        public void buildPolynomial​(int precisionMode)
        Builds the polynomial expansion of the function.
        Parameters:
        precisionMode - The precision mode to employ in expanding the Function.

      • getPolynomialDerivative

        public java.lang.String getPolynomialDerivative()
        Returns:
        the derivative of the polynomial.

      • getPolynomialIntegral

        public java.lang.String getPolynomialIntegral()
        Returns:
        the integral of the polynomial.

      • main

        public static void main​(java.lang.String[] args)