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Transformations.java
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Transformations.java
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package cg_assignment2;
import java.awt.*;
import java.awt.event.KeyEvent;
import java.awt.event.KeyAdapter;
import java.awt.event.WindowAdapter;
import java.awt.event.WindowEvent;
import java.awt.image.BufferedImage;
import java.awt.image.WritableRaster;
public class Transformations {
public static BufferedImage gradientSetRaster(BufferedImage img) {
int width = img.getWidth();
int height = img.getHeight();
WritableRaster raster = img.getRaster();
int[] pixel = { 0, 0, 0 };
for (int y = 0; y < height; y++) {
for (int x = 0; x < width; x++) {
raster.setPixel(x, y, pixel);
}
}
return img;
}
public static void main(String... args) {
Frame w = new Frame("Raster"); // window
final int imageWidth = 600;
final int imageHeight = 600;
w.setSize(imageWidth, imageHeight);
w.setLocation(100, 100);
w.setVisible(true);
Graphics g = w.getGraphics();
BufferedImage img = new BufferedImage(imageWidth, imageHeight, BufferedImage.TYPE_INT_RGB);
gradientSetRaster(img);
g.drawImage(img, 0, 0, (img1, infoflags, x, y, width, height) -> true);
Cube cube = new Cube();
double fov = Math.toRadians(90);
int n = 1;
int f = 9;
double aspect = imageWidth / imageHeight;
Camera cam = new Camera(fov, n, f, aspect);
double[][] proj = { { (1 / Math.tan(fov / 2)) / aspect, 0, 0, 0 }, { 0, 1 / Math.tan(fov / 2), 0, 0 },
{ 0, 0, -(f + n) / (f - n), -2 * f * n / (f - n) }, { 0, 0, -1, 0 } };
// multiply cube vertices with the world matrix, 0 and 1 stand for front
// and back faces
// multiply by the view matrix from camera
// multiply by the projection matrix
// normalize the coordinates
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(proj, v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(proj, v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
w.addKeyListener(new KeyAdapter() {
@Override
public void keyPressed(KeyEvent e) {
if (e.getKeyCode() == KeyEvent.VK_T) {
gradientSetRaster(img);
rotateY(img, g, 1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_R) {
gradientSetRaster(img);
rotateY(img, g, -1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_E) {
gradientSetRaster(img);
rotateX(img, g, 1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_W) {
gradientSetRaster(img);
rotateX(img, g, -1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_Y) {
gradientSetRaster(img);
rotateZ(img, g, 1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_U) {
gradientSetRaster(img);
rotateZ(img, g, -1.0, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_S) {
gradientSetRaster(img);
translateX(img, g, 0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_A) {
gradientSetRaster(img);
translateX(img, g, -0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_F) {
gradientSetRaster(img);
translateY(img, g, 0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_D) {
gradientSetRaster(img);
translateY(img, g, -0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_G) {
gradientSetRaster(img);
translateZ(img, g, 0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_H) {
gradientSetRaster(img);
translateZ(img, g, -0.05, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_X) {
gradientSetRaster(img);
changeFOV(img, g, 0.5, cube, cam, proj, imageWidth, imageHeight);
} else if (e.getKeyCode() == KeyEvent.VK_Z) {
gradientSetRaster(img);
changeFOV(img, g, -0.5, cube, cam, proj, imageWidth, imageHeight);
}
g.drawImage(img, 0, 0, (img1, infoflags, x, y, width, height) -> true);
}
});
w.addWindowListener(new WindowAdapter() {
@Override
public void windowClosing(WindowEvent e) {
w.dispose();
g.dispose();
System.exit(0);
}
});
}
public static double[][] calc_proj(Camera cam) {
double[][] proj = { { (1 / Math.tan(cam.fov / 2)) / cam.aspect, 0, 0, 0 },
{ 0, 1 / Math.tan(cam.fov / 2), 0, 0 },
{ 0, 0, -(cam.f + cam.n) / (cam.f - cam.n), -2 * cam.f * cam.n / (cam.f - cam.n) }, { 0, 0, -1, 0 } };
return proj;
}
public static void draw_line(BufferedImage img, Graphics g, int x0, int y0, int x1, int y1) {
int d = 0;
int[] pixel = { 255, 255, 255 };
int dx = Math.abs(x1 - x0);
int dy = Math.abs(y1 - y0);
// use for determining the sign of the slope
int ix = x0 < x1 ? 1 : -1;
int iy = y0 < y1 ? 1 : -1;
int x = x0;
int y = y0;
// when slope < 1
if (dx >= dy) {
while (true) {
img.getRaster().setPixel(x, y, pixel);
if (x == x1)
break;
x += ix;
d += dy * 2;
if (d > dx) {
y += iy;
d -= dx * 2;
}
}
}
// when slope > 1
else {
while (true) {
img.getRaster().setPixel(x, y, pixel);
if (y == y1)
break;
y += iy;
d += dx * 2;
if (d > dy) {
x += ix;
d -= dy * 2;
}
}
}
g.drawImage(img, 0, 0, (img1, infoflags, a, b, width, height) -> true);
}
public static void draw_polygon(BufferedImage img, Graphics g, double[] pointsX, double[] pointsY) {
int size = pointsX.length;
for (int j = 0; j < size - 1; j++) {
draw_line(img, g, (int) pointsX[j], (int) pointsY[j], (int) pointsX[j + 1], (int) pointsY[j + 1]);
}
draw_line(img, g, (int) pointsX[0], (int) pointsY[0], (int) pointsX[size - 1], (int) pointsY[size - 1]);
}
public static double[][] mmult(double[][] m1, double[][] m2) {
double[][] temp = new double[4][4];
for (int i = 0; i < m1.length; i++) {
for (int j = 0; j < m2.length; j++) {
for (int k = 0; k < m1.length; k++) {
temp[i][j] += m1[i][k] * m2[k][j];
}
}
}
return temp;
}
public static void vmult(double[][] m1, Vertex v) {
double[] v1 = { v.x, v.y, v.z, v.w };
double[] temp = { 0, 0, 0, 0 };
for (int i = 0; i < m1.length; i++) {
for (int j = 0; j < m1.length; j++) {
temp[i] += m1[i][j] * v1[j];
}
}
v.changePoint(temp[0], temp[1], temp[2], temp[3]);
}
public static void rotateY(BufferedImage img, Graphics g, double theta, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
double rad = Math.PI * theta / 180;
cube.reset();
double[][] rotmat = { { Math.cos(rad), 0, Math.sin(rad), 0 }, { 0, 1, 0, 0 },
{ -Math.sin(rad), 0, Math.cos(rad), 0 }, { 0, 0, 0, 1 } };
cube.world = mmult(cube.world, rotmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void rotateX(BufferedImage img, Graphics g, double theta, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
double rad = Math.PI * theta / 180;
cube.reset();
double[][] rotmat = { { 1, 0, 0, 0 }, { 0, Math.cos(rad), -Math.sin(rad), 0 },
{ 0, Math.sin(rad), Math.cos(rad), 0 }, { 0, 0, 0, 1 } };
cube.world = mmult(cube.world, rotmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void rotateZ(BufferedImage img, Graphics g, double theta, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
double rad = Math.PI * theta / 180;
cube.reset();
double[][] rotmat = { { Math.cos(rad), -Math.sin(rad), 0, 0 }, { Math.sin(rad), Math.cos(rad), 0, 0 },
{ 0, 0, 1, 0 }, { 0, 0, 0, 1 } };
cube.world = mmult(cube.world, rotmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void translateX(BufferedImage img, Graphics g, double tx, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
cube.reset();
double[][] transmat = { { 1, 0, 0, tx }, { 0, 1, 0, 0 }, { 0, 0, 1, 0 }, { 0, 0, 0, 1 } };
cam.view = mmult(cam.view, transmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void translateY(BufferedImage img, Graphics g, double ty, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
cube.reset();
double[][] transmat = { { 1, 0, 0, 0 }, { 0, 1, 0, ty }, { 0, 0, 1, 0 }, { 0, 0, 0, 1 } };
cam.view = mmult(cam.view, transmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void translateZ(BufferedImage img, Graphics g, double tz, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
cube.reset();
double[][] transmat = { { 1, 0, 0, 0 }, { 0, 1, 0, 0 }, { 0, 0, 1, tz }, { 0, 0, 0, 1 } };
cam.view = mmult(cam.view, transmat);
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(calc_proj(cam), v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
public static void changeFOV(BufferedImage img, Graphics g, double angle, Cube cube, Camera cam, double[][] proj,
int imageWidth, int imageHeight) {
cube.reset();
double dfov = Math.toDegrees(cam.fov) + angle;
cam.fov = Math.toRadians(dfov);
double[][] new_proj = { { (1 / Math.tan(cam.fov / 2)) / (cam.aspect), 0, 0, 0 },
{ 0, 1 / Math.tan(cam.fov / 2), 0, 0 },
{ 0, 0, -(cam.f + cam.n) / (cam.f - cam.n), -2 * cam.f * cam.n / (cam.f - cam.n) }, { 0, 0, -1, 0 } };
for (Vertex v : cube.pl[0].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(new_proj, v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Vertex v : cube.pl[1].vrt) {
vmult(cube.world, v);
vmult(cam.view, v);
vmult(new_proj, v);
double[] old = { v.x, v.y, v.z, v.w };
v.changePoint(old[0] / v.w, old[1] / v.w, old[2] / v.w, 1.0);
}
for (Polygon poly : cube.pl) {
double[] x = new double[poly.vrt.length];
double[] y = new double[poly.vrt.length];
int i = 0;
for (Vertex ver : poly.vrt) {
x[i] = ver.x * imageWidth / 2 + imageWidth / 2;
y[i] = -ver.y * imageHeight / 2 + imageHeight / 2;
i++;
}
draw_polygon(img, g, x, y);
}
}
}