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My assiment was to (please answer number 2 and 3) : 1. Study the attached soluti

ID: 3722991 • Letter: M

Question

My assiment was to(please answer number 2 and 3):

1. Study the attached solution to PP. 10.9 (below is code for PP 10.9) on p. 535 of your text.

2. Create an application that draws the graph of the equation y=mx. This is the graph of a straight line where m is the slope of the line. Allow m to be set to values between -5 and +5 using a horizontal slider.

3. Next create two sliders, one that is horizontal and will move a horizontal line up and down and one that is vertical and will move a vertical line left and right, The resulting output should look lke this:

PP 10.9 code:

//********************************************************************
// Equation.java Authors: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

public class Equation
{
private int a, b, c;
public final String SQUARED = "u00B2";

//------------------------------------------------------------------
// Sets up the default coeficients of this equation:
// a*x^2 + b*x + c
//------------------------------------------------------------------
public Equation()
{
a = b = c = 0;
}

//------------------------------------------------------------------
// Sets up the coeficients of this equation as specified.
//------------------------------------------------------------------
public Equation (int aValue, int bValue, int cValue)
{
a = aValue;
b = bValue;
c = cValue;
}

//------------------------------------------------------------------
// Computes the current value of this equation.
//------------------------------------------------------------------
public double computeValue(double x)
{
return a*x*x + b*x + c;
}

//------------------------------------------------------------------
// Returns a string representation of this equation.
//------------------------------------------------------------------
public String toString()
{
StringBuffer equation = new StringBuffer();

if (a==0 && b==0 && c==0)
equation.append("0");
else
{
if (a != 0)
{
if (a==-1)
equation.append("-");
else
if (a!=1)
equation.append(a);
equation.append( "x" + SQUARED);
}
if (b != 0)
{
if (b < 0)
{
if (a==0)
equation.append("-");
else
equation.append(" - ");
b = -b;
}
else
equation.append(" + ");
if (b!=1 && b!= -1)
equation.append(b);
equation.append("x");
}
if (c != 0)
{
if (c < 0)
{
if (a!=0 || b!=0)
equation.append(" - ");
else
equation.append("-");
c = c;
}
else
equation.append(" + ");
equation.append(c);
}
}

// erase leading +
if (equation.length() > 2)
{
char ch = equation.charAt(1);
if (ch=='+')
{
equation.deleteCharAt(0);
equation.deleteCharAt(0);
}
}
return equation.toString();
}
}

//********************************************************************
// EquationGraph.java Author: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

import javax.swing.*;

public class EquationGraph
{
//-----------------------------------------------------------------
// Creates and presents the program frame.
//-----------------------------------------------------------------
public static void main(String[] args)
{
JFrame frame = new JFrame("Equation Graph");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.getContentPane().add(new EquationGraphPanel());
frame.pack();
frame.setVisible(true);
}
}

//********************************************************************

// EquationGraphPanel.java Authors: Lewis/Loftus

//

// Solution to Programming Project 10.9

//********************************************************************

import java.awt.*;

import java.awt.event.*;

import javax.swing.*;

import javax.swing.event.*;

import javax.swing.border.LineBorder;

public class EquationGraphPanel extends JPanel

{

private JSlider aSlider;

private JSlider bSlider;

private JSlider cSlider;

private EquationViewportPanel display;

private JLabel equationLabel;

private final String EQUATION_SUBSTRING = "Graph of equation y = ";

private final int MIN_VALUE = -5;

private final int MAX_VALUE = 5;

private final int INIT_VALUE = 0;

private final int TICK_SPACING = 5;

private final int MINOR_TICK_SPACING = 1;

//-----------------------------------------------------------------

// Sets up the panel.

//-----------------------------------------------------------------

public EquationGraphPanel()

{

setLayout(new BorderLayout());

add(getSliderPanel(), BorderLayout.WEST);

display = new EquationViewportPanel();

add(display, BorderLayout.CENTER);

equationLabel = new JLabel(EQUATION_SUBSTRING + 0);

equationLabel.setHorizontalAlignment(SwingConstants.CENTER);

equationLabel.setFont(new Font("Dialog", Font.BOLD, 16));

add(equationLabel, BorderLayout.NORTH);

}

//-----------------------------------------------------------------

// Creates the sliders and slider panel.

//-------------------------------------------------------------

private JPanel getSliderPanel()

{

SliderMouseListener changed = new SliderMouseListener();

aSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

aSlider.setPaintTicks(true);

aSlider.setPaintLabels(true);

aSlider.setMajorTickSpacing(TICK_SPACING);

aSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

aSlider.setSnapToTicks(true);

aSlider.addMouseListener(changed);

bSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

bSlider.setPaintTicks(true);

bSlider.setPaintLabels(true);

bSlider.setMajorTickSpacing(TICK_SPACING);

bSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

bSlider.setSnapToTicks(true);

bSlider.addMouseListener(changed);

cSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

cSlider.setPaintTicks(true);

cSlider.setPaintLabels(true);

cSlider.setMajorTickSpacing(TICK_SPACING);

cSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

cSlider.setSnapToTicks(true);

cSlider.addMouseListener(changed);

JPanel aPanel = new JPanel();

aPanel.setLayout(new BoxLayout(aPanel, BoxLayout.Y_AXIS));

aPanel.setBorder(new LineBorder(Color.black));

aPanel.add(new JLabel("value of 'a'"));

aPanel.add(aSlider);

JPanel bPanel = new JPanel();

bPanel.setLayout(new BoxLayout(bPanel, BoxLayout.Y_AXIS));

bPanel.setBorder(new LineBorder(Color.black));

bPanel.add(new JLabel("value of 'b'"));

bPanel.add(bSlider);

JPanel cPanel = new JPanel();

cPanel.setLayout(new BoxLayout(cPanel, BoxLayout.Y_AXIS));

cPanel.setBorder(new LineBorder(Color.black));

cPanel.add(new JLabel("value of 'c'"));

cPanel.add(cSlider);

JPanel sliderPanel = new JPanel();

sliderPanel.setLayout(new BoxLayout(sliderPanel, BoxLayout.Y_AXIS));

JLabel title = new JLabel("axu00B2 + bx + c");

title.setFont(new Font("Dialog", Font.BOLD, 16));

title.setHorizontalAlignment(SwingConstants.CENTER);

sliderPanel.add(title);

sliderPanel.add(new JLabel("Select values for each coefficient:"));

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(aPanel);

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(bPanel);

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(cPanel);

return sliderPanel;

}

//-----------------------------------------------------------------

// Update and equation label.

//-------------------------------------------------------------

private void updateEquationLabel (Equation equation)

{

equationLabel.setText (EQUATION_SUBSTRING + equation.toString());

}

//********************************************************************

// Represents the mouse listener class for the sliders.

//********************************************************************

private class SliderMouseListener extends MouseAdapter

{

//-----------------------------------------------------------------

// Redraws the graph.

//-----------------------------------------------------------------

public void mouseReleased(MouseEvent event)

{

Equation equation = new Equation(aSlider.getValue(),

bSlider.getValue(), cSlider.getValue());

display.setEquation(equation);

updateEquationLabel(equation);

repaint();

}

}

}

//********************************************************************
// EquationViewportPanel.java Authors: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

import java.awt.*;
import javax.swing.JPanel;
import javax.swing.border.LineBorder;

public class EquationViewportPanel extends JPanel
{
private final int X_MIN = -10, Y_MIN = -10, X_MAX = 10, Y_MAX = 10;
private final int REAL_WORLD_WIDTH = X_MAX - X_MIN;
private final int REAL_WORLD_HEIGHT = Y_MAX - Y_MIN;
private final double TICK_LENGTH = 0.2;

private Equation equation;

//-----------------------------------------------------------------
// Constructor: Sets up this panel.
//-----------------------------------------------------------------
public EquationViewportPanel()
{
equation = new Equation();
setBorder(new LineBorder(Color.black, 4));
setPreferredSize(new Dimension(500, 500));
}

//-----------------------------------------------------------------
// Sets the equation.
//-----------------------------------------------------------------
void setEquation(Equation newEquation)
{
equation = newEquation;
}

//-----------------------------------------------------------------
// Converts world X coordinate to screen X coordinate.
//-----------------------------------------------------------------
private int convertX(double x)
{
double offset = x - X_MIN;
double result = offset * getSize().width / REAL_WORLD_WIDTH;
return (int) Math.round(result);
}

//-----------------------------------------------------------------
// Converts world Y coordinate to screen Y coordinate.
//-----------------------------------------------------------------
private int convertY(double y)
{
double offset = Y_MAX - y;
double result = offset * getSize().height / REAL_WORLD_HEIGHT;
return (int) Math.round(result);
}

//-----------------------------------------------------------------
// Draws a line in world coordinates on the screen.
//-----------------------------------------------------------------
private void drawScreenLine(Graphics page, double xMin, double yMin,
double xMax, double yMax)
{
page.drawLine(convertX(xMin), convertY(yMin), convertX(xMax), convertY(yMax));
}

//-----------------------------------------------------------------
// Draws a point in world coordinates on the screen.
//-----------------------------------------------------------------
private void drawScreenPoint(Graphics page, double x, double y)
{
page.drawLine(convertX(x), convertY(y), convertX(x), convertY(y));
}

//-----------------------------------------------------------------
// Draws the graph axes and equation.
//-----------------------------------------------------------------
public void paintComponent(Graphics page)
{
page.setColor(Color.white);
page.fillRect(0,0,getSize().width, getSize().height);

// draw the x and y axis
page.setColor(Color.pink);
drawScreenLine(page, X_MIN, 0, X_MAX, 0);
drawScreenLine(page, 0, Y_MIN, 0, Y_MAX);

// draw tick marks
for (int x=X_MIN; x<X_MAX; x++)
drawScreenLine(page, x, -TICK_LENGTH, x, TICK_LENGTH);
for (int y=Y_MIN; y<Y_MAX; y++)
drawScreenLine(page, -TICK_LENGTH, y, TICK_LENGTH, y);

// draw the graph of the equation
page.setColor(Color.black);
double x = X_MIN;
double y;
double stepSize = (double)(X_MAX - X_MIN) / getSize().width;
int screenX = getSize().width;
for (int i = 0; i <= screenX; i++)
{
y = equation.computeValue(x);
drawScreenPoint(page, x, y);
x += stepSize;
}
}
}

Explanation / Answer

Please find the updated solution below.

CODE

=========================

//********************************************************************
// Equation.java Authors: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

public class Equation
{
private int a, b, c;
public final String SQUARED = "u00B2";

//------------------------------------------------------------------
// Sets up the default coeficients of this equation:
// a*x^2 + b*x + c
//------------------------------------------------------------------
public Equation()
{
a = b = c = 0;
}

//------------------------------------------------------------------
// Sets up the coeficients of this equation as specified.
//------------------------------------------------------------------
public Equation (int aValue, int bValue, int cValue)
{
a = aValue;
b = bValue;
c = cValue;
}

//------------------------------------------------------------------
// Computes the current value of this equation.
//------------------------------------------------------------------
public double computeValue(double x)
{
return a*x*x + b*x + c;
}

//------------------------------------------------------------------
// Returns a string representation of this equation.
//------------------------------------------------------------------
public String toString()
{
StringBuffer equation = new StringBuffer();

if (a==0 && b==0 && c==0)
equation.append("0");
else
{
if (a != 0)
{
if (a==-1)
equation.append("-");
else
if (a!=1)
equation.append(a);
equation.append( "x" + SQUARED);
}
if (b != 0)
{
if (b < 0)
{
if (a==0)
equation.append("-");
else
equation.append(" - ");
b = -b;
}
else
equation.append(" + ");
if (b!=1 && b!= -1)
equation.append(b);
equation.append("x");
}
if (c != 0)
{
if (c < 0)
{
if (a!=0 || b!=0)
equation.append(" - ");
else
equation.append("-");
c = c;
}
else
equation.append(" + ");
equation.append(c);
}
}

// erase leading +
if (equation.length() > 2)
{
char ch = equation.charAt(1);
if (ch=='+')
{
equation.deleteCharAt(0);
equation.deleteCharAt(0);
}
}
return equation.toString();
}
}

//********************************************************************
// EquationGraph.java Author: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

import javax.swing.*;

public class EquationGraph
{
//-----------------------------------------------------------------
// Creates and presents the program frame.
//-----------------------------------------------------------------
public static void main(String[] args)
{
JFrame frame = new JFrame("Equation Graph");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.getContentPane().add(new EquationGraphPanel());
frame.pack();
frame.setVisible(true);
}
}

//********************************************************************

// EquationGraphPanel.java Authors: Lewis/Loftus

//

// Solution to Programming Project 10.9

//********************************************************************

import java.awt.*;

import java.awt.event.*;

import javax.swing.*;

import javax.swing.event.*;

import javax.swing.border.LineBorder;

public class EquationGraphPanel extends JPanel

{

private JSlider aSlider;

private JSlider bSlider;

private JSlider cSlider;

private EquationViewportPanel display;

private JLabel equationLabel;

private final String EQUATION_SUBSTRING = "Graph of equation y = ";

private final int MIN_VALUE = -5;

private final int MAX_VALUE = 5;

private final int INIT_VALUE = 0;

private final int TICK_SPACING = 5;

private final int MINOR_TICK_SPACING = 1;

//-----------------------------------------------------------------

// Sets up the panel.

//-----------------------------------------------------------------

public EquationGraphPanel()

{

setLayout(new BorderLayout());

add(getSliderPanel(), BorderLayout.WEST);

display = new EquationViewportPanel();

add(display, BorderLayout.CENTER);

equationLabel = new JLabel(EQUATION_SUBSTRING + 0);

equationLabel.setHorizontalAlignment(SwingConstants.CENTER);

equationLabel.setFont(new Font("Dialog", Font.BOLD, 16));

add(equationLabel, BorderLayout.NORTH);

}

//-----------------------------------------------------------------

// Creates the sliders and slider panel.

//-------------------------------------------------------------

private JPanel getSliderPanel()

{

SliderMouseListener changed = new SliderMouseListener();

aSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

aSlider.setPaintTicks(true);

aSlider.setPaintLabels(true);

aSlider.setMajorTickSpacing(TICK_SPACING);

aSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

aSlider.setSnapToTicks(true);

aSlider.addMouseListener(changed);

bSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

bSlider.setPaintTicks(true);

bSlider.setPaintLabels(true);

bSlider.setMajorTickSpacing(TICK_SPACING);

bSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

bSlider.setSnapToTicks(true);

bSlider.addMouseListener(changed);

cSlider = new JSlider(JSlider.HORIZONTAL, MIN_VALUE, MAX_VALUE, INIT_VALUE);

cSlider.setPaintTicks(true);

cSlider.setPaintLabels(true);

cSlider.setMajorTickSpacing(TICK_SPACING);

cSlider.setMinorTickSpacing(MINOR_TICK_SPACING);

cSlider.setSnapToTicks(true);

cSlider.addMouseListener(changed);

JPanel aPanel = new JPanel();

aPanel.setLayout(new BoxLayout(aPanel, BoxLayout.Y_AXIS));

aPanel.setBorder(new LineBorder(Color.black));

aPanel.add(new JLabel("value of 'a'"));

aPanel.add(aSlider);

JPanel bPanel = new JPanel();

bPanel.setLayout(new BoxLayout(bPanel, BoxLayout.Y_AXIS));

bPanel.setBorder(new LineBorder(Color.black));

bPanel.add(new JLabel("value of 'b'"));

bPanel.add(bSlider);

JPanel cPanel = new JPanel();

cPanel.setLayout(new BoxLayout(cPanel, BoxLayout.Y_AXIS));

cPanel.setBorder(new LineBorder(Color.black));

cPanel.add(new JLabel("value of 'c'"));

cPanel.add(cSlider);

JPanel sliderPanel = new JPanel();

sliderPanel.setLayout(new BoxLayout(sliderPanel, BoxLayout.Y_AXIS));

JLabel title = new JLabel("axu00B2 + bx + c");

title.setFont(new Font("Dialog", Font.BOLD, 16));

title.setHorizontalAlignment(SwingConstants.CENTER);

sliderPanel.add(title);

sliderPanel.add(new JLabel("Select values for each coefficient:"));

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(aPanel);

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(bPanel);

sliderPanel.add(Box.createVerticalGlue());

sliderPanel.add(cPanel);

return sliderPanel;

}

//-----------------------------------------------------------------

// Update and equation label.

//-------------------------------------------------------------

private void updateEquationLabel (Equation equation)

{

equationLabel.setText (EQUATION_SUBSTRING + equation.toString());

}

//********************************************************************

// Represents the mouse listener class for the sliders.

//********************************************************************

private class SliderMouseListener extends MouseAdapter

{

//-----------------------------------------------------------------

// Redraws the graph.

//-----------------------------------------------------------------

public void mouseReleased(MouseEvent event)

{

Equation equation = new Equation(aSlider.getValue(),

bSlider.getValue(), cSlider.getValue());

display.setEquation(equation);

updateEquationLabel(equation);

repaint();

}

}

}

//********************************************************************
// EquationViewportPanel.java Authors: Lewis/Loftus
//
// Solution to Programming Project 10.9
//********************************************************************

import java.awt.*;
import javax.swing.JPanel;
import javax.swing.border.LineBorder;

public class EquationViewportPanel extends JPanel
{
private final int X_MIN = -10, Y_MIN = -10, X_MAX = 10, Y_MAX = 10;
private final int REAL_WORLD_WIDTH = X_MAX - X_MIN;
private final int REAL_WORLD_HEIGHT = Y_MAX - Y_MIN;
private final double TICK_LENGTH = 0.2;

private Equation equation;

//-----------------------------------------------------------------
// Constructor: Sets up this panel.
//-----------------------------------------------------------------
public EquationViewportPanel()
{
equation = new Equation();
setBorder(new LineBorder(Color.black, 4));
setPreferredSize(new Dimension(500, 500));
}

//-----------------------------------------------------------------
// Sets the equation.
//-----------------------------------------------------------------
void setEquation(Equation newEquation)
{
equation = newEquation;
}

//-----------------------------------------------------------------
// Converts world X coordinate to screen X coordinate.
//-----------------------------------------------------------------
private int convertX(double x)
{
double offset = x - X_MIN;
double result = offset * getSize().width / REAL_WORLD_WIDTH;
return (int) Math.round(result);
}

//-----------------------------------------------------------------
// Converts world Y coordinate to screen Y coordinate.
//-----------------------------------------------------------------
private int convertY(double y)
{
double offset = Y_MAX - y;
double result = offset * getSize().height / REAL_WORLD_HEIGHT;
return (int) Math.round(result);
}

//-----------------------------------------------------------------
// Draws a line in world coordinates on the screen.
//-----------------------------------------------------------------
private void drawScreenLine(Graphics page, double xMin, double yMin,
double xMax, double yMax)
{
page.drawLine(convertX(xMin), convertY(yMin), convertX(xMax), convertY(yMax));
}

//-----------------------------------------------------------------
// Draws a point in world coordinates on the screen.
//-----------------------------------------------------------------
private void drawScreenPoint(Graphics page, double x, double y)
{
page.drawLine(convertX(x), convertY(y), convertX(x), convertY(y));
}

//-----------------------------------------------------------------
// Draws the graph axes and equation.
//-----------------------------------------------------------------
public void paintComponent(Graphics page)
{
page.setColor(Color.white);
page.fillRect(0,0,getSize().width, getSize().height);

// draw the x and y axis
page.setColor(Color.pink);
drawScreenLine(page, X_MIN, 0, X_MAX, 0);
drawScreenLine(page, 0, Y_MIN, 0, Y_MAX);

// draw tick marks
for (int x=X_MIN; x<X_MAX; x++)
drawScreenLine(page, x, -TICK_LENGTH, x, TICK_LENGTH);
for (int y=Y_MIN; y<Y_MAX; y++)
drawScreenLine(page, -TICK_LENGTH, y, TICK_LENGTH, y);

// draw the graph of the equation
page.setColor(Color.black);
double x = X_MIN;
double y;
double stepSize = (double)(X_MAX - X_MIN) / getSize().width;
int screenX = getSize().width;
for (int i = 0; i <= screenX; i++)
{
y = equation.computeValue(x);
drawScreenPoint(page, x, y);
x += stepSize;
}
}
}

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