UTS GRAFIKA KOMPUTER

1. Disini saya akan membuat tentang 3 buah titik Rotasi yaitu A,B, dan C terhadap titik putar X (200.200) dengan sudut putar - 40 derajat
2. Move/Translasi terhadap T[50, -75] dari kedua tersebut.

langkah - langkah nya sebagai berikut :

Jawaban :

1. TITIK   A

Xⁿ = Xp+(X-Xp) cos Ɵ – (y – Yp) sin Ɵ

= 200 +(50-200)* 0.8 – (150-200)*0.6 =110

Yⁿ = Yp + (X-Xp) sinƟ+ ( y-Yp)cos Ɵ

= 200 + (50-200)*0.6- (150-200)*0.8 = 150

TITIK B

Xⁿ = Xp+(X-Xp)Cos Ɵ – ( y- Yp)sin Ɵ

     = 200 + (150-200)*0.8 – (100-200)*0.6=220

yⁿ = Yp + (X-Xp) sinƟ+ ( y-Yp)cos Ɵ

    = 200 + (150-200)*0.6 – (100-200)*0.8 = 250

TITIK  C

Xⁿ = Xp+(X-Xp)Cos Ɵ – ( y- Yp)sin Ɵ

     = 200 + ( 150 – 200)*0.8 – (200 – 200)*0.6 =160

yⁿ = Yp + (X-Xp) sinƟ+ ( y-Yp)cos Ɵ

    = 200+ ( 150 – 200)*0.6 – (200 -200)* 0.8 = 170

2. Translasi

A.      X^” = 50 + 50

    = 100

Y^”= 150 +(-70)

    = 75

X^” = (100,75)

B.      X’ = 150 +  50

    = 200

Y’= 100 + (-75)

    = 25

B’ = (200,25)

C.      X’ = 150 +  50

    = 200

Y’ = 200 + (-75)

    = 125

C’= (200,125)

 

2. Listing Program Rotasi

Package project uts_grafika_komputer;

import java.awt.*;
import java.awt.event.*;
public class uts_grafika_komputer extends Frame implements ActionListener{
    int x = 200;
    int y = 200;
public static void main(String[] args) {
    Frame frame = new uts_grafika_komputer ();
    frame.setSize(640, 480);
    frame.setVisible(true);
}
public uts_grafika_komputer () {
setTitle("AWT Demo");

    MenuBar mb = new MenuBar();
    setMenuBar(mb);
    Menu menu = new Menu("File");
    mb.add(menu);
    MenuItem mi = new MenuItem("Exit");
    mi.addActionListener(this);
    menu.add(mi);

    WindowListener l = new WindowAdapter()  {
    public void windowClosing(WindowEvent ev) {
    System.exit(0);
    }
    };
this.addWindowListener(l);

MouseListener mouseListener = new MouseAdapter() {
public void mouseClicked(MouseEvent ev) {
    x = ev.getX();
    y = ev.getY();
    repaint();
}
};
addMouseListener(mouseListener);
}

public void paint(Graphics g) {
int xasalA = 50; int yasalA = 150;
int xasalB = 150; int yasalB = 100;
int xasalC = 150; int yasalC = 200;

int sudut = -40;
double phi=22/7;
g.setColor(Color.blue);
g.drawLine(xasalA,yasalA, xasalB,yasalB);
g.drawLine(xasalB,yasalB,xasalC,yasalC);

long xA = Math.round(x+(xasalA-x)*Math.cos(sudut*phi/40)-(yasalA-y)*Math.sin(sudut*phi/40));
long yA = Math.round(x+(xasalA-x)*Math.sin(sudut*phi/40)-(yasalA-y)*Math.cos(sudut*phi/40));
long xB = Math.round(x+(xasalB-x)*Math.cos(sudut*phi/40)-(yasalB-y)*Math.sin(sudut*phi/40));
long yB = Math.round(x+(xasalB-x)*Math.sin(sudut*phi/40)-(yasalB-y)*Math.cos(sudut*phi/40));
long xC = Math.round(x+(xasalC-x)*Math.cos(sudut*phi/40)-(yasalC-y)*Math.sin(sudut*phi/40));
long yC = Math.round(x+(xasalC-x)*Math.sin(sudut*phi/40)-(yasalC-y)*Math.cos(sudut*phi/40));

int xA1 = (int)xA; int yA1 = (int)yA;
int xB1 = (int)xB; int yB1 = (int)yB;
int xC1 = (int)xC; int yC1 = (int)yC;

g.drawLine(xA1,yA1, xB1,yB1);
g.drawLine(xB1,yB1, xC1,yC1);

}
public void actionPerformed(ActionEvent ev) {
String command = ev.getActionCommand();
if ("Exit".equals(command)) {
System.exit(0);
}
}
}