void drawLine(Graphics g, DrawObject L) {
if (L == null) {
return;
}
if ((sequencingOn) && (L.sequenceNum != currentSequenceNumDisplay)) {
return;
}
Graphics2D g2 = (Graphics2D) g;
g2.setStroke(L.drawStroke);
int x1 = (int) ((L.x - minX) / (maxX - minX) * (D.width - 2 * inset));
int y1 = (int) ((L.y - minY) / (maxY - minY) * (D.height - 2.0 * inset));
int x2 = (int) ((L.x2 - minX) / (maxX - minX) * (D.width - 2 * inset));
int y2 = (int) ((L.y2 - minY) / (maxY - minY) * (D.height - 2.0 * inset));
if (L.isArrow) {
drawArrow(
(Graphics2D) g,
inset + x1,
D.height - y1 - inset,
inset + x2,
D.height - y2 - inset,
1.0f,
L.drawStroke);
} else {
g.drawLine(inset + x1, D.height - y1 - inset, inset + x2, D.height - y2 - inset);
}
}
public void draw(Graphics g) {
animate();
g.setColor(Color.black);
g.fillRect(0, 0, dim.width, dim.height);
g.setColor(Color.white);
numpaint++;
DebugPrinter dbg = new DebugPrinter(g, 50, 60);
dbg.print(
"Spring-mass demo by yigal irani, drag balls or create new ones by clicking inside box");
dbg.print("frame", numpaint);
dbg.print("fps", 1 / timer.time_diff);
Point top_left = point_by_vec(new Vec(-1, 1));
g.draw3DRect(top_left.x, top_left.y, screen_dist(2), screen_dist(2), true);
for (int i = 0; i < springs.size(); i++) {
Spring spring = springs.get2(i);
Point p1 = point_by_vec(balls.get2(spring.start).pos);
Point p2 = point_by_vec(balls.get2(spring.end).pos);
g.drawLine(p1.x, p1.y, p2.x, p2.y);
}
for (int i = 0; i < balls.size(); i++) {
Ball ball = balls.get2(i);
Point p = point_by_vec(ball.pos);
int screen_radius = screen_dist(RADIUS);
g.setColor(Color.blue);
g.fillOval(p.x - screen_radius, p.y - screen_radius, screen_radius * 2, screen_radius * 2);
g.setColor(Color.white);
g.drawOval(p.x - screen_radius, p.y - screen_radius, screen_radius * 2, screen_radius * 2);
g.drawString("" + i, p.x, p.y);
}
}
/**
* Called by the paint method to draw the graph and its graph items.
*
* @param g the graphics context.
*/
public void paintComponent(Graphics g) {
Dimension dim = getSize();
Insets insets = getInsets();
dataArea =
new Rectangle(
insets.left,
insets.top,
dim.width - insets.left - insets.right - 1,
dim.height - insets.top - insets.bottom - 1);
// background
if (isOpaque()) {
g.setColor(getBackground());
g.fillRect(0, 0, dim.width, dim.height);
}
g.setColor(getForeground());
// get axis tickmarks
double xticks[] = xAxis.getTicks();
double yticks[] = yAxis.getTicks();
int yb = dataArea.y + dataArea.height;
// draw grid
if (showGrid) {
g.setColor(gridColor != null ? gridColor : getBackground().darker());
// vertical x grid lines
for (int i = 0; i < xticks.length; i += 2) {
int x = dataArea.x + (int) Math.round(xticks[i]);
g.drawLine(x, dataArea.y, x, dataArea.y + dataArea.height);
}
// horizontal y grid lines
for (int i = 0; i < yticks.length; i += 2) {
int y = yb - (int) Math.round(yticks[i]);
g.drawLine(dataArea.x, y, dataArea.x + dataArea.width, y);
}
}
for (int i = 0; i < graphItems.size(); i++) {
((GraphItem) graphItems.elementAt(i)).draw(this, g, dataArea, xAxis, yAxis);
}
if (sPt != null && ePt != null) {
g.setColor(getForeground());
g.drawRect(
Math.min(sPt.x, ePt.x), Math.min(sPt.y, ePt.y),
Math.abs(ePt.x - sPt.x), Math.abs(ePt.y - sPt.y));
}
}
public static void drawLine(Graphics g, int x1, int y1, int x2, int y2, int lineWidth) {
if (lineWidth == 1) g.drawLine(x1, y1, x2, y2);
else {
double angle;
double halfWidth = ((double) lineWidth) / 2.0;
double deltaX = (double) (x2 - x1);
double deltaY = (double) (y2 - y1);
if (x1 == x2) angle = Math.PI;
else angle = Math.atan(deltaY / deltaX) + Math.PI / 2;
int xOffset = (int) (halfWidth * Math.cos(angle));
int yOffset = (int) (halfWidth * Math.sin(angle));
int[] xCorners = {x1 - xOffset, x2 - xOffset + 1, x2 + xOffset + 1, x1 + xOffset};
int[] yCorners = {y1 - yOffset, y2 - yOffset, y2 + yOffset + 1, y1 + yOffset + 1};
g.fillPolygon(xCorners, yCorners, 4);
}
}
/** This internal method begins a new page and prints the header. */
protected void newpage() {
page = job.getGraphics(); // Begin the new page
linenum = 0;
charnum = 0; // Reset line and char number
pagenum++; // Increment page number
page.setFont(headerfont); // Set the header font.
page.drawString(jobname, x0, headery); // Print job name left justified
String s = "- " + pagenum + " -"; // Print the page number centered.
int w = headermetrics.stringWidth(s);
page.drawString(s, x0 + (this.width - w) / 2, headery);
w = headermetrics.stringWidth(time); // Print date right justified
page.drawString(time, x0 + width - w, headery);
// Draw a line beneath the header
int y = headery + headermetrics.getDescent() + 1;
page.drawLine(x0, y, x0 + width, y);
// Set the basic monospaced font for the rest of the page.
page.setFont(font);
}
void drawScribbles(Graphics g) {
if ((scribbles == null) || (scribbles.size() == 0)) {
return;
}
DrawObject L = (DrawObject) scribbles.get(0);
int scribbleCounter = L.scribbleNum;
g.setColor(scribbleColor);
((Graphics2D) g).setStroke(new BasicStroke(2f));
int prevX = L.scribbleX;
int prevY = L.scribbleY;
for (int i = 1; i < scribbles.size(); i++) {
L = (DrawObject) scribbles.get(i);
if (L.scribbleNum == scribbleCounter) {
// Keep drawing.
g.drawLine(prevX, prevY, L.scribbleX, L.scribbleY);
prevX = L.scribbleX;
prevY = L.scribbleY;
} else {
scribbleCounter = L.scribbleNum;
prevX = L.scribbleX;
prevY = L.scribbleY;
}
}
}
void drawEqnLine(Graphics g, DrawObject L) {
if (L == null) {
return;
}
if ((sequencingOn) && (L.sequenceNum != currentSequenceNumDisplay)) {
return;
}
// First, special cases:
if ((L.a == 0) && (L.b == 0)) {
return;
}
double px = 0, py = 0, qx = 0, qy = 0;
double leftX = px, rightX = qx, leftY = py, rightY = qy;
if (L.a == 0) {
// Case 2: a=0 => horizontal line.
leftX = minX;
rightX = maxX;
py = -L.c / L.b;
qy = -L.c / L.b;
if ((py < minY) || (py > maxY)) {
// Cannot display.
return;
}
leftY = rightY = py;
} else if (L.b == 0) {
// Case 3: b=0 => vertical line.
leftX = -L.c / L.a;
rightX = -L.c / L.a;
leftY = minY;
rightY = maxY;
if ((leftX < minX) || (leftX > maxX)) {
return;
}
} else {
// Case 4: regular.
// Note: the line could intersect the drawable region in weird ways.
px = (-L.c - L.b * minY) / L.a;
qx = (-L.c - L.b * maxY) / L.a;
py = (-L.c - L.a * minX) / L.b;
qy = (-L.c - L.a * maxX) / L.b;
// System.out.println ("px=" + px + " qx=" + qx + " py=" + py + " qy=" + qy);
// Find leftmost point to draw.
if ((py >= minY) && (py <= maxY)) {
// Leftmost point is on the x=minX line.
leftX = minX;
leftY = py;
// System.out.println ("case(a): leftmost on minX-line");
} else {
// Leftmost point is not on the x=minX line.
// Find leftmost point intersecting with low or high
if (px < qx) {
leftX = px;
leftY = minY;
// System.out.println ("case(a.1): on minY-line");
} else {
leftX = qx;
leftY = maxY;
// System.out.println ("case(a.2): on maxY-line");
}
}
// Now find rightmost point.
if ((qy >= minY) && (qy <= maxY)) {
// Rightmost point is on the x=maxX line.
rightX = maxX;
rightY = qy;
// System.out.println ("case(b): rightmost on maxX-line");
} else {
if (px > qx) {
rightX = px;
rightY = minY;
// System.out.println ("case(b.1): rightmost on minY-line");
} else {
rightX = qx;
rightY = maxY;
// System.out.println ("case(b.1): rightmost on maxY-line");
}
}
}
// System.out.println ("left:(" + leftX + "," + leftY + ") right:(" + rightX + "," + rightY +
// ")");
int x1 = (int) ((leftX - minX) / (maxX - minX) * (D.width - 2 * inset));
int y1 = (int) ((leftY - minY) / (maxY - minY) * (D.height - 2.0 * inset));
int x2 = (int) ((rightX - minX) / (maxX - minX) * (D.width - 2 * inset));
int y2 = (int) ((rightY - minY) / (maxY - minY) * (D.height - 2.0 * inset));
Graphics2D g2 = (Graphics2D) g;
g2.setStroke(L.drawStroke);
g.drawLine(inset + x1, D.height - y1 - inset, inset + x2, D.height - y2 - inset);
}
public void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g;
RenderingHints rh = g2d.getRenderingHints();
rh.put(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON);
rh.put(RenderingHints.KEY_RENDERING, RenderingHints.VALUE_RENDER_QUALITY);
g2d.setRenderingHints(rh);
// Background.
D = this.getSize();
g.setColor(backgroundColor);
g.fillRect(0, 0, D.width, D.height);
Graphics2D g2 = (Graphics2D) g;
g2.setStroke(lineStroke);
// Axes, bounding box.
g.setColor(Color.gray);
g.drawLine(inset, D.height - inset, D.width - inset, D.height - inset);
g.drawLine(D.width - inset, inset, D.width - inset, D.height - inset);
g.drawLine(inset, inset, inset, D.height - inset);
g.drawLine(inset, inset, D.width - inset, inset);
double xDelta = (maxX - minX) / numIntervals;
// X-ticks and labels.
for (int i = 1; i <= numIntervals; i++) {
double xTickd = i * xDelta;
int xTick = (int) (xTickd / (maxX - minX) * (D.width - 2 * inset));
g.drawLine(inset + xTick, D.height - inset - 5, inset + xTick, D.height - inset + 5);
double x = minX + i * xDelta;
g.drawString(df.format(x), xTick + inset - 5, D.height - inset + 20);
}
// Y-ticks
double yDelta = (maxY - minY) / numIntervals;
for (int i = 0; i < numIntervals; i++) {
int yTick = (i + 1) * (int) ((D.height - 2 * inset) / (double) numIntervals);
g.drawLine(inset - 5, D.height - yTick - inset, inset + 5, D.height - yTick - inset);
double y = minY + (i + 1) * yDelta;
g.drawString(df.format(y), 1, D.height - yTick - inset);
}
// Zoom+move
Font savedFont = g.getFont();
g.setFont(plusFont);
g.drawString("+", D.width - 25, 20);
g.setFont(minusFont);
g.drawString("-", D.width - 25, 50);
drawArrow(g2d, D.width - 70, 20, D.width - 70, 0, 1.0f, lineStroke); // Up
drawArrow(g2d, D.width - 70, 30, D.width - 70, 50, 1.0f, lineStroke); // Down
drawArrow(g2d, D.width - 65, 25, D.width - 45, 25, 1.0f, lineStroke); // Right
drawArrow(g2d, D.width - 75, 25, D.width - 95, 25, 1.0f, lineStroke); // Left
g.setFont(savedFont);
// See if standard axes are in the middle.
g.setColor(Color.gray);
if ((minX < 0) && (maxX > 0) && (drawMiddleAxes)) {
// Draw y-axis
int x = (int) ((0 - minX) / (maxX - minX) * (D.width - 2 * inset));
g.drawLine(inset + x, D.height - inset, inset + x, inset);
}
if ((minY < 0) && (maxY > 0) && (drawMiddleAxes)) {
// Draw x-axis
int y = (int) ((0 - minY) / (maxY - minY) * (D.height - 2.0 * inset));
g.drawLine(inset, D.height - y - inset, D.width - inset, D.height - y - inset);
}
// Draw the objects.
drawObjects(g, points, lines, ovals, rectangles, images, labels, eqnLines);
if (animationMode) {
drawObjects(g, animPoints, animLines, animOvals, animRectangles, null, labels, eqnLines);
// No images in animation mode.
}
drawScribbles(g);
}
public void paintComponent(Graphics g) {
super.paintComponent(g);
g.setColor(Color.WHITE);
// Draws a white arrow and the principal axis
g.drawLine(0, 200, 700, 200);
g.drawLine(arrow_x, 200, arrow_x, arrow_y2);
// Show coordinates of arrow tip
arrowCoordinate_x = arrow_x - startingPosition;
arrowCoordinate_x /= 10;
arrowCoordinate_y = 200 - arrow_y2;
arrowCoordinate_y /= 10;
// Coordinates
Optics.lbl_arrowCoordinates.setText(
"<html>(d<sub>o</sub>, h<sub>o</sub>) = ("
+ arrowCoordinate_x
+ ", "
+ arrowCoordinate_y
+ ")</html>");
if (arrow_y2 < 200) // if arrow is above principal axis
{
g.drawLine(arrow_x, arrow_y2, arrow_x - 7, arrow_y2 + 7);
g.drawLine(arrow_x, arrow_y2, arrow_x + 7, arrow_y2 + 7);
} else if (arrow_y2 > 200) // if arrow is below principal axis
{
g.drawLine(arrow_x, arrow_y2, arrow_x - 7, arrow_y2 - 7);
g.drawLine(arrow_x, arrow_y2, arrow_x + 7, arrow_y2 - 7);
}
// Draws lines for the grid
if (lenses) startingPosition = 350;
else {
radiusOfCurvature = 20 * focalLength;
if (type == 0) startingPosition = 500;
else startingPosition = 350;
}
{
for (int i = startingPosition; i <= 700; i += 10) {
if ((i - startingPosition) % (10 * focalLength) == 0) {
g.setColor(Color.ORANGE);
g.drawLine(i, 195, i, 205);
} else {
g.setColor(Color.WHITE);
g.drawLine(i, 197, i, 203);
}
}
for (int i = startingPosition; i >= 0; i -= 10) {
if ((i - startingPosition) % (10 * focalLength) == 0 && i != 0) {
g.setColor(Color.ORANGE);
g.drawLine(i, 195, i, 205);
} else {
g.setColor(Color.WHITE);
g.drawLine(i, 197, i, 203);
}
}
}
g.setColor(Color.WHITE);
if (lenses) {
if (type == 0) // If Converging
{
// Draws a converging lens
g.drawArc(340, 50, 40, 300, 120, 120);
g.drawArc(320, 50, 40, 300, 60, -120);
// draws horizontal line from the tip of the arrow to the lens (line 1/3)
g.setColor(Color.RED);
g.drawLine(arrow_x, arrow_y2, 350, arrow_y2);
// calculates necessary information to form equation of line from lens to focal point (line
// 2/3)
dy_1 = 200 - arrow_y2;
if (arrow_x > 350) dx_1 = -10 * focalLength;
else dx_1 = 10 * focalLength;
slope_1 = dy_1 / dx_1;
if (arrow_x > 350) y_intercept_1 = 200 - slope_1 * (350 - 10 * focalLength);
else y_intercept_1 = 200 - slope_1 * (10 * focalLength + 350);
// Calculates coordinates of points on the edge of screen (endpoints)
if (arrow_x <= 350)
y_screenIntersection_1 = (int) (Math.round(slope_1 * 700 + y_intercept_1));
else y_screenIntersection_1 = (int) (Math.round(y_intercept_1));
if (slope_1 != 0)
if (arrow_y2 <= 200)
x_screenIntersection_1 = (int) (Math.round((400 - y_intercept_1) / slope_1));
else x_screenIntersection_1 = (int) (Math.round(-y_intercept_1 / slope_1));
if (x_screenIntersection_1 >= 0
&& x_screenIntersection_1 <= 700) // If endpoint is on the x-edge
if (arrow_y2 <= 200) g.drawLine(350, arrow_y2, x_screenIntersection_1, 400);
else g.drawLine(350, arrow_y2, x_screenIntersection_1, 0);
else if (arrow_x > 350) g.drawLine(350, arrow_y2, 0, y_screenIntersection_1);
else
g.drawLine(350, arrow_y2, 700, y_screenIntersection_1); // Else: endpoint is on the y-edge
} else // Else: Diverging
{
// Draws a diverging lens
g.drawArc(360, 50, 40, 300, 120, 120);
g.drawArc(300, 50, 40, 300, 60, -120);
g.drawLine(330, 68, 370, 68);
g.drawLine(330, 330, 370, 330);
// draws horizontal line from the tip of the arrow to the lens (line 1/3)
g.setColor(Color.RED);
g.drawLine(arrow_x, arrow_y2, 350, arrow_y2);
// calculates necessary information to form equation of line from lens to focal point (line
// 2/3)
dy_1 = arrow_y2 - 200;
if (arrow_x > 350) dx_1 = -10 * focalLength;
else dx_1 = 10 * focalLength;
slope_1 = dy_1 / dx_1;
if (arrow_x > 350) y_intercept_1 = 200 - slope_1 * (10 * focalLength + 350);
else y_intercept_1 = 200 - slope_1 * (350 - 10 * focalLength);
// Calculates coordinates of points on the edge of screen (endpoints)
if (arrow_x <= 350)
y_screenIntersection_1 = (int) (Math.round(slope_1 * 700 + y_intercept_1));
else y_screenIntersection_1 = (int) (Math.round(y_intercept_1));
if (slope_1 != 0)
if (arrow_y2 <= 200)
x_screenIntersection_1 = (int) (Math.round(-y_intercept_1 / slope_1));
else x_screenIntersection_1 = (int) (Math.round((400 - y_intercept_1) / slope_1));
if (x_screenIntersection_1 >= 0
&& x_screenIntersection_1 <= 700) // If endpoint is on the x-edge
if (arrow_y2 <= 200) g.drawLine(350, arrow_y2, x_screenIntersection_1, 0);
else g.drawLine(350, arrow_y2, x_screenIntersection_1, 400);
else // Else: endpoint is on the y-edge
if (arrow_x > 350) g.drawLine(350, arrow_y2, 0, y_screenIntersection_1);
else g.drawLine(350, arrow_y2, 700, y_screenIntersection_1);
}
// Line 3/3
dy_2 = 200 - arrow_y2;
dx_2 = 350 - arrow_x;
slope_2 = dy_2 / dx_2;
y_intercept_2 = 200 - slope_2 * 350;
if (arrow_x <= 350)
y_screenIntersection_2 = (int) (Math.round(slope_2 * 700 + y_intercept_2));
else y_screenIntersection_2 = (int) (Math.round(y_intercept_2));
if (slope_2 != 0)
if (arrow_y2 <= 200)
x_screenIntersection_2 = (int) (Math.round((400 - y_intercept_2) / slope_2));
else x_screenIntersection_2 = (int) (Math.round(-y_intercept_2 / slope_2));
if (x_screenIntersection_2 >= 0
&& x_screenIntersection_2 <= 700) // If endpoint is on the x-edge
if (arrow_y2 <= 200) g.drawLine(arrow_x, arrow_y2, x_screenIntersection_2, 400);
else g.drawLine(arrow_x, arrow_y2, x_screenIntersection_2, 0);
else if (arrow_x <= 350)
g.drawLine(
arrow_x, arrow_y2, 700, y_screenIntersection_2); // Else: endpoint is on the y-edge
else g.drawLine(arrow_x, arrow_y2, 0, y_screenIntersection_2);
// POI between Line 2 & Line 3
x_pointOfIntersection = (int) ((y_intercept_2 - y_intercept_1) / (slope_1 - slope_2));
y_pointOfIntersection = (int) (slope_1 * x_pointOfIntersection + y_intercept_1);
// Draw image
g.setColor(Color.ORANGE);
g.drawLine(x_pointOfIntersection, 200, x_pointOfIntersection, y_pointOfIntersection);
if (y_pointOfIntersection < 200) {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection + 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection + 7);
} else {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection - 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection - 7);
}
// Same side image line continuation
if (((x_pointOfIntersection > 350 && arrow_x > 350)
|| (x_pointOfIntersection < 350 && arrow_x < 350))
&& (arrow_x != 350 - 10 * focalLength && arrow_x != 350 + 10 * focalLength
|| type == 1)) {
g.setColor(Color.YELLOW);
g.drawLine(x_pointOfIntersection, y_pointOfIntersection, 350, arrow_y2);
if (type == 0) g.drawLine(x_pointOfIntersection, y_pointOfIntersection, arrow_x, arrow_y2);
}
// Mag calculations
height_image = 200 - y_pointOfIntersection;
height_object = 200 - arrow_y2;
if (height_object != 0) magnification = height_image / height_object;
if (magnification <= 9999 && magnification >= -9999)
Optics.txt_magnification.setText("" + roundTwoDecimals(magnification));
else if (magnification > 9999) {
magnification = Double.POSITIVE_INFINITY;
Optics.txt_magnification.setText("N/A");
} else {
magnification = Double.NEGATIVE_INFINITY;
Optics.txt_magnification.setText("N/A");
}
// Characteristics
g.setColor(Color.ORANGE);
g.drawString("Image Characteristics:", 20, 300);
if (type == 0) {
if ((Math.abs(magnification) > 1 && Math.abs(magnification) < 9999))
g.drawString("Magnification: Enlarged", 20, 320);
else if (arrow_x == 350 - 20 * focalLength
|| arrow_x == 350 + 20 * focalLength
|| (int) (Math.abs(magnification)) == 1) g.drawString("Magnification: None", 20, 320);
else if (Math.abs(magnification) < 1 && Math.abs(magnification) > 0)
g.drawString("Magnification: Diminished", 20, 320);
else g.drawString("Magnification: N/A", 20, 320);
if (arrow_x == 350 - 10 * focalLength || arrow_x == 350 + 10 * focalLength)
g.drawString("Orientation: N/A", 20, 335);
else if ((arrow_y2 < 200 && y_pointOfIntersection < 200)
|| (arrow_y2 > 200 && y_pointOfIntersection > 200))
g.drawString("Orientation: Upright", 20, 335);
else g.drawString("Orientation: Inverted", 20, 335);
if (arrow_x == 350 - 10 * focalLength || arrow_x == 350 + 10 * focalLength)
g.drawString("Type: N/A", 20, 350);
else if ((x_pointOfIntersection < 350 && arrow_x < 350)
|| (x_pointOfIntersection > 350 && arrow_x > 350))
g.drawString("Type: Virtual", 20, 350);
else g.drawString("Type: Real", 20, 350);
} else {
g.drawString("Magnification: Diminished", 20, 320);
g.drawString("Orientation: Upright", 20, 335);
g.drawString("Type: Virtual", 20, 350);
}
height_image /= 10;
if (height_image > 9999 || height_image < -9999)
Optics.lbl_heightImage.setText("<html>h<sub>i</sub>= N/A</html>");
else Optics.lbl_heightImage.setText("<html>h<sub>i</sub>= " + height_image + "</html>");
distance_image = x_pointOfIntersection - 350;
distance_image /= 10;
if (distance_image > 9999 || distance_image < -9999)
Optics.lbl_distanceImage.setText("<html>d<sub>i</sub>= N/A</html>");
else Optics.lbl_distanceImage.setText("<html>d<sub>i</sub>= " + distance_image + "</html>");
} else // Else: mirrors
{
if (type == 0) // If converging
{
// draws converging mirror
g.drawArc(
500 - 2 * radiusOfCurvature,
200 - radiusOfCurvature,
2 * radiusOfCurvature,
2 * radiusOfCurvature,
60,
-120);
// draws horizontal line from the tip of the arrow to the lens (line 1/4)
g.setColor(Color.RED);
x_arcIntersection_1 =
(int)
((Math.sqrt(Math.abs(Math.pow(radiusOfCurvature, 2) - Math.pow(arrow_y2 - 200, 2))))
+ (500 - radiusOfCurvature));
g.drawLine(arrow_x, arrow_y2, x_arcIntersection_1, arrow_y2);
// line 2/4
dy_1 = arrow_y2 - 200;
dx_1 = x_arcIntersection_1 - (500 - focalLength * 10);
slope_1 = dy_1 / dx_1;
y_intercept_1 = 200 - slope_1 * (500 - focalLength * 10);
// Calculates coordinates of points on the edge of screen (endpoints)
y_screenIntersection_1 = (int) (Math.round(y_intercept_1));
if (slope_1 != 0)
if (arrow_y2 <= 200)
x_screenIntersection_1 = (int) (Math.round((400 - y_intercept_1) / slope_1));
else x_screenIntersection_1 = (int) (Math.round(-y_intercept_1 / slope_1));
if (x_screenIntersection_1 >= 0
&& x_screenIntersection_1 <= 700) // If endpoint is on the x-edge
if (arrow_y2 <= 200) g.drawLine(x_arcIntersection_1, arrow_y2, x_screenIntersection_1, 400);
else g.drawLine(x_arcIntersection_1, arrow_y2, x_screenIntersection_1, 0);
else
g.drawLine(
x_arcIntersection_1,
arrow_y2,
0,
y_screenIntersection_1); // Else: endpoint is on the y-edge
// line 3/4
if (!(arrow_x > 495 - focalLength * 10 && arrow_x < 505 - focalLength * 10)) {
dy_2 = 200 - arrow_y2;
dx_2 = (500 - 10 * focalLength) - arrow_x;
slope_2 = dy_2 / dx_2;
y_intercept_2 = arrow_y2 - slope_2 * arrow_x;
quadratic_a = (float) (Math.pow(slope_2, 2) + 1);
quadratic_b =
(float)
(((2 * slope_2 * y_intercept_2)
- (400 * slope_2)
+ ((radiusOfCurvature - 500) * 2)));
quadratic_c =
(float)
((Math.pow(y_intercept_2, 2)
- Math.pow(radiusOfCurvature, 2)
- (400 * y_intercept_2)
+ 40000
+ Math.pow((radiusOfCurvature - 500), 2)));
discriminant = (float) (Math.pow(quadratic_b, 2) - (4 * quadratic_a * quadratic_c));
if (discriminant >= 0)
x_arcIntersection_2 =
(int)
(Math.max(
((-quadratic_b + Math.sqrt(discriminant)) / (2 * quadratic_a)),
((-quadratic_b - Math.sqrt(discriminant)) / (2 * quadratic_a))));
else System.out.println("Error, imaginary root!");
y_arcIntersection_2 = (int) (slope_2 * x_arcIntersection_2 + y_intercept_2);
g.drawLine(arrow_x, arrow_y2, x_arcIntersection_2, y_arcIntersection_2);
// System.out.println ("slope: " + slope_2 + "\n yintercept: " + y_intercept_2 + "\n
// quadratic-a: " + quadratic_a + "\n quadratic-b: " + quadratic_b + "\n quadratic_c: " +
// quadratic_c + "\n discriminant: " + discriminant + "\n xarcintersection2: " +
// x_arcIntersection_2 + "\n yarcintersection2: " + y_arcIntersection_2);
// line 4/4
g.drawLine(x_arcIntersection_2, y_arcIntersection_2, 0, y_arcIntersection_2);
// POI between line 2 and line 4
x_pointOfIntersection = (int) ((y_arcIntersection_2 - y_intercept_1) / slope_1);
y_pointOfIntersection = y_arcIntersection_2;
g.setColor(Color.ORANGE);
g.drawLine(x_pointOfIntersection, y_pointOfIntersection, x_pointOfIntersection, 200);
if (y_pointOfIntersection < 200) {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection + 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection + 7);
} else {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection - 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection - 7);
}
// Same side image line continuation
if (arrow_x > 500 - 10 * focalLength) {
g.setColor(Color.YELLOW);
g.drawLine(x_pointOfIntersection, y_pointOfIntersection, x_arcIntersection_1, arrow_y2);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_arcIntersection_2,
y_arcIntersection_2);
}
}
} else // Diverging
{
// draws converging mirror
g.drawArc(
350, 200 - radiusOfCurvature, 2 * radiusOfCurvature, 2 * radiusOfCurvature, 120, 120);
// draws horizontal line from the tip of the arrow to the lens (line 1/4)
g.setColor(Color.RED);
x_arcIntersection_1 =
(int)
(-(Math.sqrt(Math.pow(radiusOfCurvature, 2) - Math.pow(arrow_y2 - 200, 2)))
+ (350 + radiusOfCurvature));
g.drawLine(arrow_x, arrow_y2, x_arcIntersection_1, arrow_y2);
// line 2/4
dy_1 = arrow_y2 - 200;
dx_1 = x_arcIntersection_1 - (350 + focalLength * 10);
slope_1 = dy_1 / dx_1;
y_intercept_1 = 200 - slope_1 * (350 + focalLength * 10);
// Calculates coordinates of points on the edge of screen (endpoints)
y_screenIntersection_1 = (int) (Math.round(y_intercept_1));
if (slope_1 != 0)
if (arrow_y2 <= 200)
x_screenIntersection_1 = (int) (Math.round(-y_intercept_1 / slope_1));
else if (arrow_y2 > 200)
x_screenIntersection_1 = (int) (Math.round(400 - y_intercept_1 / slope_1));
if (x_screenIntersection_1 >= 0
&& x_screenIntersection_1 <= 700) // If endpoint is on the x-edge
if (arrow_y2 <= 200) g.drawLine(x_arcIntersection_1, arrow_y2, x_screenIntersection_1, 0);
else g.drawLine(x_arcIntersection_1, arrow_y2, x_screenIntersection_1, 400);
else
g.drawLine(
x_arcIntersection_1,
arrow_y2,
0,
y_screenIntersection_1); // Else: endpoint is on the y-edge
// line 3/4
dy_2 = 200 - arrow_y2;
dx_2 = (350 + 10 * focalLength) - arrow_x;
slope_2 = dy_2 / dx_2;
y_intercept_2 = arrow_y2 - slope_2 * arrow_x;
quadratic_a = (float) (Math.pow(slope_2, 2) + 1);
quadratic_b =
(float)
((2 * slope_2 * y_intercept_2) - (400 * slope_2) - (2 * radiusOfCurvature + 700));
quadratic_c =
(float)
((Math.pow(y_intercept_2, 2)
- Math.pow(radiusOfCurvature, 2)
- (400 * y_intercept_2)
+ 40000
+ Math.pow((radiusOfCurvature + 350), 2)));
discriminant = (float) (Math.pow(quadratic_b, 2) - (4 * quadratic_a * quadratic_c));
if (discriminant >= 0)
x_arcIntersection_2 =
(int)
(Math.min(
((-quadratic_b + Math.sqrt(discriminant)) / (2 * quadratic_a)),
((-quadratic_b - Math.sqrt(discriminant)) / (2 * quadratic_a))));
else System.out.println("Error, imaginary root!");
y_arcIntersection_2 = (int) (slope_2 * x_arcIntersection_2 + y_intercept_2);
g.drawLine(arrow_x, arrow_y2, x_arcIntersection_2, y_arcIntersection_2);
// System.out.println ("slope: " + slope_2 + "\n yintercept: " + y_intercept_2 + "\n
// quadratic-a: " + quadratic_a + "\n quadratic-b: " + quadratic_b + "\n quadratic_c: " +
// quadratic_c + "\n discriminant: " + discriminant + "\n xarcintersection2: " +
// x_arcIntersection_2 + "\n yarcintersection2: " + y_arcIntersection_2);
// line 4/4
g.drawLine(x_arcIntersection_2, y_arcIntersection_2, 0, y_arcIntersection_2);
// POI between line 2 and line 4
x_pointOfIntersection = (int) ((y_arcIntersection_2 - y_intercept_1) / slope_1);
y_pointOfIntersection = y_arcIntersection_2;
g.setColor(Color.ORANGE);
g.drawLine(x_pointOfIntersection, y_pointOfIntersection, x_pointOfIntersection, 200);
if (y_pointOfIntersection < 200) {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection + 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection + 7);
} else {
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection - 7,
y_pointOfIntersection - 7);
g.drawLine(
x_pointOfIntersection,
y_pointOfIntersection,
x_pointOfIntersection + 7,
y_pointOfIntersection - 7);
}
// Same side image line continuation
g.setColor(Color.YELLOW);
g.drawLine(x_pointOfIntersection, y_pointOfIntersection, x_arcIntersection_1, arrow_y2);
g.drawLine(
x_pointOfIntersection, y_pointOfIntersection, x_arcIntersection_2, y_arcIntersection_2);
}
// Mag calculations
height_image = 200 - y_pointOfIntersection;
height_object = 200 - arrow_y2;
if (height_object != 0) magnification = height_image / height_object;
if (magnification <= 9999 && magnification >= -9999)
Optics.txt_magnification.setText("" + roundTwoDecimals(magnification));
else if (magnification > 9999) {
magnification = Double.POSITIVE_INFINITY;
Optics.txt_magnification.setText("N/A");
} else {
magnification = Double.NEGATIVE_INFINITY;
Optics.txt_magnification.setText("N/A");
}
// Characteristics
g.setColor(Color.ORANGE);
g.drawString("Image Characteristics:", 20, 300);
if (type == 0) {
if ((Math.abs(magnification) > 1 && Math.abs(magnification) < 9999)
&& arrow_x != 500 - 10 * focalLength) g.drawString("Magnification: Enlarged", 20, 320);
else if ((int) (Math.abs(magnification)) == 1)
g.drawString("Magnification: None", 20, 320);
else if (Math.abs(magnification) < 1 && Math.abs(magnification) > 0)
g.drawString("Magnification: Diminished", 20, 320);
else {
g.drawString("Magnification: N/A", 20, 320);
Optics.txt_magnification.setText("N/A");
Optics.lbl_distanceImage.setText("<html>d<sub>i</sub>= N/A</html>");
Optics.lbl_heightImage.setText("<html>h<sub>i</sub>= N/A</html>");
}
if (arrow_x == 500 - 10 * focalLength) g.drawString("Orientation: N/A", 20, 335);
else if ((arrow_y2 < 200 && y_pointOfIntersection < 200)
|| (arrow_y2 > 200 && y_pointOfIntersection > 200))
g.drawString("Orientation: Upright", 20, 335);
else g.drawString("Orientation: Inverted", 20, 335);
if (arrow_x == 500 - 10 * focalLength) g.drawString("Type: N/A", 20, 350);
else if (x_pointOfIntersection < 500 && arrow_x < 500)
g.drawString("Type: Real", 20, 350);
else if (x_pointOfIntersection > 500 && arrow_x < 500)
g.drawString("Type: Virtual", 20, 350);
} else {
g.drawString("Magnification: Diminished", 20, 320);
g.drawString("Orientation: Upright", 20, 335);
g.drawString("Type: Virtual", 20, 350);
}
height_image /= 10;
if (height_image > 9999 || height_image < -9999 || arrow_x == 500 - 10 * focalLength)
Optics.lbl_heightImage.setText("<html>h<sub>i</sub>= N/A</html>");
else Optics.lbl_heightImage.setText("<html>h<sub>i</sub>= " + height_image + "</html>");
if (type == 0) distance_image = x_pointOfIntersection - 500;
else distance_image = x_pointOfIntersection - 350;
distance_image /= 10;
if (distance_image > 9999 || distance_image < -9999 || arrow_x == 500 - 10 * focalLength)
Optics.lbl_distanceImage.setText("<html>d<sub>i</sub>= N/A</html>");
else Optics.lbl_distanceImage.setText("<html>d<sub>i</sub>= " + distance_image + "</html>");
}
}
