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-rw-r--r--src/v/D3.java194
-rw-r--r--src/v/VMaths.java54
2 files changed, 200 insertions, 48 deletions
diff --git a/src/v/D3.java b/src/v/D3.java
index eac59ea..dabffec 100644
--- a/src/v/D3.java
+++ b/src/v/D3.java
@@ -35,11 +35,11 @@ import static v.VMaths.*;
public class D3
{
static final float DEGREES_PER_SECOND = 50f / 1000f;
- static final float[][] UNIT = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
+ static final float DEGREES_PER_SECOND_PER_SECOND = DEGREES_PER_SECOND;
- static float[] xs = new float[8];
- static float[] ys = new float[8];
- static float[] zs = new float[8];
+ static float[] xs = new float[8 + 6];
+ static float[] ys = new float[8 + 6];
+ static float[] zs = new float[8 + 6];
static float[] normal_xs = {0f, 0f, 1f, -1f, 0f, 0f};
static float[] normal_ys = {1f, 0f, 0f, 0f, 0f, -1f};
@@ -53,6 +53,14 @@ public class D3
static int rxy = 0;
static int rg = 0;
+ static int srx = 0;
+ static int sry = 0;
+ static int srxy = 0;
+
+ static float[][] Pm = UNIT;
+
+ static boolean sreset = false;
+
public static void main(String... args) throws InterruptedException
{
for (int i = 0; i < 8; i++)
@@ -62,27 +70,28 @@ public class D3
zs[i] = ((i & 4) != 0 ? 1f : 0f) - 0.5f;
}
+ xs[8] = +1; xs[11] = -1;
+ ys[9] = +1; ys[12] = -1;
+ zs[10] = +1; zs[13] = -1;
+
final JFrame window = new JFrame();
final JPanel panel;
window.pack();
window.setLayout(new BorderLayout());
window.add(panel = new JPanel()
{
- float[][] Pm = UNIT;
-
- {
- this.setBackground(Color.BLACK);
- Pm = createRotation("y", -10f);
- }
-
- float[] pxs = new float[8];
- float[] pys = new float[8];
- float[] pzs = new float[8];
+ float[] pxs = new float[8 + 7];
+ float[] pys = new float[8 + 7];
+ float[] pzs = new float[8 + 7];
float[] normal_pxs = new float[6];
float[] normal_pys = new float[6];
float[] normal_pzs = new float[6];
+ {
+ this.setBackground(Color.BLACK);
+ }
+
@Override
public void paint(Graphics g)
{
@@ -90,6 +99,12 @@ public class D3
/* Camera */
+ for (int i = 8; i < 8 + 6; i++)
+ {
+ pxs[i] = xs[i];
+ pys[i] = ys[i];
+ pzs[i] = zs[i];
+ }
for (int i = 0; i < 8; i++)
{
float[] v = mul(Pm, xs[i], ys[i], zs[i]);
@@ -146,6 +161,15 @@ public class D3
draw(new Color(188, 188, 0), 5, 7, g);
draw(new Color( 0, 188, 0), 6, 7, g);
/* */
+
+ /* */
+ draw(new Color(255, 0, 0), 8, 14, g);
+ draw(new Color( 0, 255, 0), 9, 14, g);
+ draw(new Color( 0, 0, 255), 10, 14, g);
+ draw(new Color( 0, 255, 255), 11, 14, g);
+ draw(new Color(255, 0, 255), 12, 14, g);
+ draw(new Color(255, 255, 0), 13, 14, g);
+ /* */
}
private void draw(int R, int G, int B, int a, int b, int c, int d, Graphics g, float normal_z)
@@ -211,7 +235,9 @@ public class D3
window.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
window.setVisible(true);
- final float SPEED = (float)(Math.sqrt(25.5f / 2f)) * DEGREES_PER_SECOND;
+ final float SPEED = (float)(Math.sqrt(25.5f / 2f)) * DEGREES_PER_SECOND_PER_SECOND;
+
+ final float SSPEED = 25.5f * DEGREES_PER_SECOND;
window.addKeyListener(new KeyListener()
{
@@ -221,34 +247,54 @@ public class D3
{
switch (e.getKeyCode())
{
- case KeyEvent.VK_D: rx = 0; break;
- case KeyEvent.VK_A: rx = 0; break;
- case KeyEvent.VK_W: ry = 0; break;
- case KeyEvent.VK_S: ry = 0; break;
- case KeyEvent.VK_E: rxy = 0; break;
- case KeyEvent.VK_Q: rxy = 0; break;
- case KeyEvent.VK_F: rg = 0; break;
- case KeyEvent.VK_C: rg = 0; break;
+ case KeyEvent.VK_D: srx = rx = 0; break;
+ case KeyEvent.VK_A: srx = rx = 0; break;
+ case KeyEvent.VK_W: sry = ry = 0; break;
+ case KeyEvent.VK_S: sry = ry = 0; break;
+ case KeyEvent.VK_E: srxy = rxy = 0; break;
+ case KeyEvent.VK_Q: srxy = rxy = 0; break;
+ case KeyEvent.VK_F: rg = 0; break;
+ case KeyEvent.VK_C: rg = 0; break;
}
}
public void keyPressed(KeyEvent e)
{
- switch (e.getKeyCode())
- {
- case KeyEvent.VK_D: rx = +1; break;
- case KeyEvent.VK_A: rx = -1; break;
- case KeyEvent.VK_W: ry = +1; break;
- case KeyEvent.VK_S: ry = -1; break;
- case KeyEvent.VK_E: rxy = +1; break;
- case KeyEvent.VK_Q: rxy = -1; break;
- case KeyEvent.VK_F: rg = +1; break;
- case KeyEvent.VK_C: rg = -1; break;
-
- case KeyEvent.VK_R:
- rotation_speed = 0;
- break;
- }
+ boolean shift = (e.getModifiersEx() & KeyEvent.SHIFT_DOWN_MASK) != 0;
+ boolean ctrl = (e.getModifiersEx() & KeyEvent.CTRL_DOWN_MASK) != 0;
+
+ int v = ctrl ? 2 : 1;
+
+ if (shift == false)
+ switch (e.getKeyCode())
+ {
+ case KeyEvent.VK_D: rx = +v; break;
+ case KeyEvent.VK_A: rx = -v; break;
+ case KeyEvent.VK_W: ry = +v; break;
+ case KeyEvent.VK_S: ry = -v; break;
+ case KeyEvent.VK_E: rxy = +v; break;
+ case KeyEvent.VK_Q: rxy = -v; break;
+ case KeyEvent.VK_F: rg = +1; break;
+ case KeyEvent.VK_C: rg = -1; break;
+
+ case KeyEvent.VK_R:
+ rotation_speed = 0;
+ break;
+ }
+ else
+ switch (e.getKeyCode())
+ {
+ case KeyEvent.VK_D: srx = +v; break;
+ case KeyEvent.VK_A: srx = -v; break;
+ case KeyEvent.VK_W: sry = +v; break;
+ case KeyEvent.VK_S: sry = -v; break;
+ case KeyEvent.VK_E: srxy = +v; break;
+ case KeyEvent.VK_Q: srxy = -v; break;
+
+ case KeyEvent.VK_R:
+ sreset = true;
+ break;
+ }
}
});
@@ -256,25 +302,36 @@ public class D3
{
Thread.sleep(50);
- if (rx != 0)
+ if (sreset)
+ {
+ Pm = UNIT;
+ for (int i = 8; i < 8 + 12; i++)
+ xs[i] = ys[i] = zs[i] = 0;
+ xs[8] = +1; xs[11] = -1;
+ ys[9] = +1; ys[12] = -1;
+ zs[10] = +1; zs[13] = -1;
+ sreset = false;
+ }
+
+ if (rx * rx == 1)
{
- float[] v = mul(rx * SPEED, createRotation("x"));
+ float[] v = mul(rx * SPEED, createRotation("x", Pm));
v = add(mul(rotation_speed, rotation), v);
rotation_speed = length(v);
rotation = normalise(v);
}
- if (ry != 0)
+ if (ry * ry == 1)
{
- float[] v = mul(ry * SPEED, createRotation("y"));
+ float[] v = mul(ry * SPEED, createRotation("y", Pm));
v = add(mul(rotation_speed, rotation), v);
rotation_speed = length(v);
rotation = normalise(v);
}
- if (rxy != 0)
+ if (rxy * rxy == 1)
{
- float[] v = mul(rxy * SPEED, createRotation("xy"));
+ float[] v = mul(rxy * SPEED, createRotation("xy", Pm));
v = add(mul(rotation_speed, rotation), v);
rotation_speed = length(v);
rotation = normalise(v);
@@ -288,6 +345,24 @@ public class D3
if (rotation_speed != 0)
transform(createRotation(rotation, rotation_speed));
+ if (rx * rx == 4) transform(createRotation("x", 45 * rx / 2));
+ if (ry * ry == 4) transform(createRotation("y", 45 * ry / 2));
+ if (rxy * rxy == 4) transform(createRotation("xy", 45 * rxy / 2));
+ if (rx * rx == 4) rx = 0;
+ if (ry * ry == 4) ry = 0;
+ if (rxy * rxy == 4) rxy = 0;
+
+ if (srx * srx == 1) stransform(createRotation("x", srx * SSPEED));
+ if (sry * sry == 1) stransform(createRotation("y", sry * SSPEED));
+ if (srxy * srxy == 1) stransform(createRotation("xy", srxy * SSPEED));
+
+ if (srx * srx == 4) stransform(createRotation("x", 45 * srx / 2));
+ if (sry * sry == 4) stransform(createRotation("y", 45 * sry / 2));
+ if (srxy * srxy == 4) stransform(createRotation("xy", 45 * srxy / 2));
+ if (srx * srx == 4) srx = 0;
+ if (sry * sry == 4) sry = 0;
+ if (srxy * srxy == 4) srxy = 0;
+
panel.repaint();
}
}
@@ -316,5 +391,36 @@ public class D3
}
}
+ public static void stransform(float[][] m)
+ {
+ for (int i = 8; i < 8 + 6; i++)
+ {
+ float[] v = mul(m, xs[i], ys[i], zs[i]);
+ xs[i] = v[0];
+ ys[i] = v[1];
+ zs[i] = v[2];
+ }
+
+ if (Pm == UNIT)
+ {
+ Pm = new float[3][3];
+ for (int i = 0; i < 3; i++)
+ for (int j = 0; j < 3; j++)
+ Pm[i][j] = UNIT[i][j];
+ }
+
+ Pm[0][0] = xs[8];
+ Pm[1][0] = ys[8];
+ Pm[2][0] = zs[8];
+
+ Pm[0][1] = xs[9];
+ Pm[1][1] = ys[9];
+ Pm[2][1] = zs[9];
+
+ Pm[0][2] = xs[10];
+ Pm[1][2] = ys[10];
+ Pm[2][2] = zs[10];
+ }
+
}
diff --git a/src/v/VMaths.java b/src/v/VMaths.java
index 9312608..d52c12a 100644
--- a/src/v/VMaths.java
+++ b/src/v/VMaths.java
@@ -29,24 +29,31 @@ package v;
*/
public class VMaths
{
-
+ public static final float[][] UNIT = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
+
+
public static float[] createRotation(String side)
{
+ return createRotation(side, UNIT);
+ }
+
+ public static float[] createRotation(String side, float[][] proj)
+ {
switch (side.toLowerCase())
{
case "x":
case "xz":
case "zx":
- return new float[] { 0f, -1f, 0f };
+ return mul(-1, proj[1]);
case "y":
case "yz":
case "zy":
- return new float[] { -1f, 0f, 0f };
+ return mul(-1, proj[0]);
case "xy":
case "yx":
- return new float[] { 0f, 0f, +1f };
+ return proj[2];
}
return null;
@@ -219,7 +226,46 @@ public class VMaths
return rc;
}
+ public static float[][] inv(float[][] m)
+ {
+ return mul(1f / det(m), trans(m));
+ }
+ public static float[][] trans(float[][] m)
+ {
+ int x, y;
+ float[][] rc = new float[y = m[0].length][x = m.length];
+
+ for (int r = 0; r < y; r++)
+ for (int c = 0; c < x; c++)
+ rc[r][c] = m[c][r];
+
+ return rc;
+ }
+
+ public static float det(float[][] m)
+ {
+ float rc = 0;
+ int mul = 1;
+ int n = m.length;
+
+ if (n == 0) return 1;
+ if (n == 1) return m[0][0];
+
+ for (int i = 0; i < n; i++)
+ {
+ float[][] sub = new float[n - 1][n - 1];
+
+ for (int y = 0; y < n - 1; y++)
+ for (int x = 0; x < n - 1; x++)
+ sub[y][x] = m[y + 1][x < i ? x : x + 1];
+
+ rc += mul * det(sub);
+ mul *= -1;
+ }
+
+ return rc;
+ }
}