public void transform() {
clear();
// transform axes
for (int i = 0; i < 6; i += 2) {
Point3D sta = vertices.get(indices.get(i)).mul(fMat);
Point3D end = vertices.get(indices.get(i + 1)).mul(fMat);
double x1Axes = ((0.5 * (sta.x / sta.w + 1)) * (w - 1));
double x2Axes = ((0.5 * (end.x / end.w + 1)) * (w - 1));
double y1Axes = ((0.5 * (1 - sta.y / sta.w)) * (h - 1));
double y2Axes = ((0.5 * (1 - end.y / end.w)) * (h - 1));
g.setColor(new Color((int) (66666 * Math.random() + 100)));
g.drawLine((int) x1Axes, (int) y1Axes, (int) x2Axes, (int) y2Axes);
}
// transform solids
for (int i = 6; i < 30; i += 3) {
Point3D prv = vertices.get(indices.get(i)).mul(fMat);
Point3D drh = vertices.get(indices.get(i + 1)).mul(fMat);
Point3D tre = vertices.get(indices.get(i + 2)).mul(fMat);
int col = (int) (66666 * Math.random() + 100);
clipW(prv, drh, tre, col);
}
}
private void scanLine(Vec3D vA, Vec3D vB, Vec3D vC, int color) {
if (fill) {
if (vA.y > vB.y) {
Vec3D p = vA;
vA = vB;
vB = p;
}
if (vB.y > vC.y) {
Vec3D p = vB;
vB = vC;
vC = p;
}
if (vA.y > vB.y) {
Vec3D p = vA;
vA = vB;
vB = p;
}
for (int y = Math.max((int) vA.y + 1, 0); y <= Math.min(vB.y, h - 1); y++) {
double s1 = (y - vA.y) / (vB.y - vA.y);
double s2 = (y - vA.y) / (vC.y - vA.y);
double x1 = vA.x * (1.0 - s1) + vB.x * s1;
double x2 = vA.x * (1.0 - s2) + vC.x * s2;
double z1 = vA.z * (1.0 - s1) + vB.z * s1;
double z2 = vA.z * (1.0 - s2) + vC.z * s2;
if (x1 > x2) {
double t = x1;
x1 = x2;
x2 = t;
t = z1;
z1 = z2;
z2 = t;
}
for (int x = Math.max((int) x1 + 1, 0); x <= Math.min(x2, w - 1); x++) {
double t = (x - x1) / (x2 - x1);
double z = z1 * (1.0 - t) + z2 * t;
if ((depth[x][y] > z) && (z > 0.0)) {
depth[x][y] = z;
img.setRGB(x, y, new Color(color).getRGB());
}
}
}
for (int y = Math.max((int) vB.y + 1, 0); y <= Math.min(vC.y, h - 1); y++) {
double s1 = (y - vB.y) / (vC.y - vB.y);
double s2 = (y - vA.y) / (vC.y - vA.y);
double x1 = vB.x * (1.0 - s1) + vC.x * s1;
double x2 = vA.x * (1.0 - s2) + vC.x * s2;
double z1 = vB.z * (1.0 - s1) + vC.z * s1;
double z2 = vA.z * (1.0 - s2) + vC.z * s2;
if (x1 > x2) {
double t = x1;
x1 = x2;
x2 = t;
t = z1;
z1 = z2;
z2 = t;
}
for (int x = Math.max((int) x1 + 1, 0); x <= Math.min(x2, w - 1); x++) {
double t = (x - x1) / (x2 - x1);
double z = z1 * (1.0 - t) + z2 * t;
if ((depth[x][y] > z) && (z > 0.0)) {
depth[x][y] = z;
img.setRGB(x, y, new Color(color).getRGB());
}
}
}
} else {
g.setColor(new Color(color));
g.drawLine((int) vA.x, (int) vA.y, (int) vB.x, (int) vB.y);
g.drawLine((int) vA.x, (int) vA.y, (int) vC.x, (int) vC.y);
g.drawLine((int) vC.x, (int) vC.y, (int) vB.x, (int) vB.y);
}
}
private void cropScene(Vec3D vA, Vec3D vB, Vec3D vC, int color, boolean fill) {
if ((Math.min(Math.min(vA.x, vB.x), vC.x) > 1.0)
|| (Math.max(Math.max(vA.x, vB.x), vC.x) < -1.0)
|| (Math.min(Math.min(vA.y, vB.y), vC.y) > 1.0)
|| (Math.max(Math.max(vA.y, vB.y), vC.y) < -1.0)
|| (Math.min(Math.min(vA.z, vB.z), vC.z) > 1.0)
|| (Math.max(Math.max(vA.z, vB.z), vC.z) < 0.0)) {
return;
}
vA =
vA.mul(new Vec3D(1.0, -1.0, 1.0))
.add(new Vec3D(1.0, 1.0, 0.0))
.mul(new Vec3D((w - 1) / 2, (h - 1) / 2, 1.0));
vB =
vB.mul(new Vec3D(1.0, -1.0, 1.0))
.add(new Vec3D(1.0, 1.0, 0.0))
.mul(new Vec3D((w - 1) / 2, (h - 1) / 2, 1.0));
vC =
vC.mul(new Vec3D(1.0, -1.0, 1.0))
.add(new Vec3D(1.0, 1.0, 0.0))
.mul(new Vec3D((w - 1) / 2, (h - 1) / 2, 1.0));
scanLine(vA, vB, vC, color);
}