/*
* Connects the letters by going along the Z axis
*/
public static void ConnectLetters(Graphics g, Object letter) {
Point3D topPoint = new Point3D(0, 0, 0);
for (int i = 0; i < letter.vertices.length; i++) {
Move3D(letter.vertices[i], letter.aT, CAMERA);
topPoint.SetCoords(letter.vertices[i].x, letter.vertices[i].y, -1);
Draw3D(g, topPoint, letter.aT, CAMERA);
}
}
/*
* Takes in an object and a height and connects all the points of the object
* from the floor to the specified height
*/
public static void ConnectWalls(Graphics g, Object floorObject, double y) {
Point3D topPoint = new Point3D(0, 0, 0);
for (int i = 0; i < floorObject.vertices.length; i++) {
Move3D(floorObject.vertices[i], floorObject.aT, CAMERA);
topPoint.SetCoords(floorObject.vertices[i].x, y, floorObject.vertices[i].z);
Draw3D(g, topPoint, floorObject.aT, CAMERA);
}
}
/*
* Draws and labels the axes
*/
public static void DrawAxes(Graphics g) {
String num = "";
Point2D tmpPoint = new Point2D(0, 0);
drawPoint drawer = new drawPoint(0, 0);
// X axis
Point3D PointToDraw = new Point3D(curWin.RightX, 0, 0);
Move3D(PointToDraw, IDENTITY, CAMERA);
PointToDraw.SetCoords(curWin.LeftX, 0, 0);
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
for (double i = curWin.LeftX; i <= curWin.RightX; i += 0.5) {
if (i == 0.0) continue;
PointToDraw.SetCoords(i, 0, 0);
num = "" + i;
Move3D(PointToDraw, IDENTITY, CAMERA);
drawer = ViewPortToFrameWindow(curPos);
g.drawString(num, drawer.x, drawer.y);
}
// y-axis
PointToDraw.SetCoords(0, curWin.TopY - 1, 0);
Move3D(PointToDraw, IDENTITY, CAMERA);
PointToDraw.SetCoords(0, curWin.BotY, 0);
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
for (double i = curWin.BotY; i <= curWin.TopY - 1; i += 0.5) {
if (i == 0.0) continue;
PointToDraw.SetCoords(0.1, i, 0);
num = "" + i;
Move3D(PointToDraw, IDENTITY, CAMERA);
drawer = ViewPortToFrameWindow(curPos);
g.drawString(num, drawer.x, drawer.y);
}
// z-axis
PointToDraw.SetCoords(0, 0, 4); // 4 is to keep it on the screen
Move3D(PointToDraw, IDENTITY, CAMERA);
PointToDraw.SetCoords(0, 0, -4); // keep it on the screen
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
for (double i = -4.0; i <= 4.0; i += 0.5) {
if (i == 0.0) continue;
PointToDraw.SetCoords(0, 0.1, i);
num = "" + i;
Move3D(PointToDraw, IDENTITY, CAMERA);
drawer = ViewPortToFrameWindow(curPos);
g.drawString(num, drawer.x, drawer.y);
}
}
/*
* Plots the given equation
*/
public static void PlotGraph(Graphics g) {
// start at the low point
Point3D firstPoint = new Point3D(-1.25, -1.25, 0);
Point3D secondPoint = new Point3D(-1.25, -1.25, 0);
double inc = 0.05; // this looked the best
g.setColor(Color.green);
for (double y = -1.25; y <= 1.25; y += inc) {
for (double x = -1.25; x <= 1.25; x += inc) {
// draw the small square
firstPoint.SetCoords(x, y, 0);
secondPoint.SetCoords(x + inc, y + inc, 0);
DrawSquare(g, firstPoint, secondPoint);
}
}
g.setColor(Color.black);
DrawAxes(g);
Branding(g, "z = (x^2) + (y^2) - (x^3) - 8*x*(y^4)");
}
/*
* draws a square for the graph
*/
public static void DrawSquare(Graphics g, Point3D leftPoint, Point3D rightPoint) {
Point3D PointToDraw =
new Point3D(leftPoint.x, leftPoint.y, PlotFunction(leftPoint.x, leftPoint.y));
Move3D(PointToDraw, IDENTITY, CAMERA);
// leftX -> rightX
PointToDraw.SetCoords(rightPoint.x, leftPoint.y, PlotFunction(rightPoint.x, leftPoint.y));
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
// botY -> topY
PointToDraw.SetCoords(rightPoint.x, rightPoint.y, PlotFunction(rightPoint.x, rightPoint.y));
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
// rightX -> leftX
PointToDraw.SetCoords(leftPoint.x, rightPoint.y, PlotFunction(leftPoint.x, rightPoint.y));
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
// topY -> botY
PointToDraw.SetCoords(leftPoint.x, leftPoint.y, PlotFunction(leftPoint.x, leftPoint.y));
Draw3D(g, PointToDraw, IDENTITY, CAMERA);
}
