Calculator

A calculator able to parse equations and perform complex mathematical operations

Overview

This program is built off of the Node class, which contains all the mathematical methods:

• double calculate(double x)

• double slopeAt(double x)

• double definiteIntegral(int a, int b)

• double sum(int n, int endn)

• double sum(int n, double precision)

• Node taylorExpansion(int k, double c)

• Node maclaurinExpansion(int k)

• Node calculateDerivative()

  In order to parse a String into a Node tree, the Equation(String) constructor can be used. Node is the superclass of Equation, so all the methods in Node can be called from an Equation object.

Builds

• ValueCalculator
  • Simple application using Swing UI for calculating values, slopes, and definite integrals
• IntegralTool
  • Commandline app that calculates definte integrals
  • Uses commandline arguments
  • Example: java builds.IntegralTool x^2 0 3 -> Integral of x2 from 0 to 3: 8.999100000000132 correct value = 9
• Boot
  • Used for testing code

Example Code

• Calculate a value
  • Equation equ = new Equation("sin(x^2) - 2x");
  • System.out.println(equ.calculate(3.0));
  • Program output: -5.5878815147582435 (correct value)
• Graph an equation
  • Equation equ = new Equation("x/2 -3");
  • Graph graph = new Graph(-10.0, 10.0, -10.0, 10.0, 15); for larger monitors use 25-45 for last parameter
  • graph.drawAxes();
  • graph.drawEquation(equ);