static int distance(Point3D first, Point3D second) {
return (int)
(Math.sqrt(
Math.pow(second.getX() - first.getX(), 2)
+ Math.pow(second.getY() - first.getY(), 2))
+ Math.pow(second.getZ() - first.getZ(), 2));
}
/**
* Returns a String containing all Arrow3D values for saving to a data file. The String is
* processed by the Arrow3D(String) constructor to recreate a Arrow3D object when reading a saved
* data file.
*
* @return String capturing all Arrow3D field values
*/
public String outString() {
String ms = null;
if (m != null) {
if (m.getDiffuseColor() != null) {
ms = m.getDiffuseColor().toString();
}
if (m.getSpecularColor() != null) {
ms = ms.concat(", " + m.getSpecularColor().toString());
}
}
return "Arrow: "
+ p1.getX()
+ ", "
+ p1.getY()
+ ", "
+ p1.getZ()
+ ", "
+ p2.getX()
+ ", "
+ p2.getY()
+ ", "
+ p2.getZ()
+ ", "
+ arrowRadius
+ ", "
+ ms;
}
public static final Point3D minus(final Point3D p, final Point3D q) {
return Point3DBuilder.create()
.x(p.getX() - q.getX())
.y(p.getY() - q.getY())
.z(p.getZ() - q.getZ())
.build();
}
public static final Point3D crossProduct(final Point3D p, final Point3D q) {
return Point3DBuilder.create()
.x(p.getY() * q.getZ() - p.getZ() * q.getY())
.y(p.getZ() * q.getX() - p.getX() * q.getZ())
.z(p.getX() * q.getY() - p.getY() * q.getX())
.build();
}
/**
* Provides the Arrow3D line mid-point (in user coordinate space)
*
* @return midpoint Point3D location of the Arrow midpoint
*/
public Point3D midpoint() {
double x, y, z;
x = (p1.getX() + p2.getX()) / 2.0;
y = (p1.getY() + p2.getY()) / 2.0;
z = (p1.getZ() + p2.getZ()) / 2.0;
return new Point3D(x, y, z);
}
/**
* Provides the projected Arrow3D angle between xz axes
*
* @return theta Double value of angle of projected xz arrow line
*/
public double theta() {
// Relocate line start point to origin
double x = p2.getX() - p1.getX();
double y = p2.getY() - p1.getY();
double z = p2.getZ() - p1.getZ();
// Compute theta
return Math.atan2(z, x);
}
private static Point3D rotateY(Point3D p, Point3D axis, double radians) {
Point3D input =
new Point3D(p.getX() - axis.getX(), p.getY() - axis.getY(), p.getZ() - axis.getZ());
return new Point3D(
input.getZ() * Math.sin(radians) + input.getX() * Math.cos(radians) + axis.getX(),
input.getY() + axis.getY(),
input.getZ() * Math.cos(radians) - input.getX() * Math.sin(radians) + axis.getZ());
}
public void SetTickSeperationXYZ(Point3D newTickSpeperation) {
this.tickSeperationXYZ = newTickSpeperation;
xAxisGrid.setTickSeperationXY(new Point2D(tickSeperationXYZ.getY(), tickSeperationXYZ.getZ()));
yAxisGrid.setTickSeperationXY(new Point2D(tickSeperationXYZ.getZ(), tickSeperationXYZ.getX()));
zAxisGrid.setTickSeperationXY(new Point2D(tickSeperationXYZ.getX(), tickSeperationXYZ.getY()));
}
/**
* Creates a new Arrow3D object scaled by the value t
*
* @param t double scalar value to multiply Arrow line components
* @return Arrow3D scaled by t
*/
public Arrow3D multiply(double t) {
double x2 = t * (p2.getX() - p1.getX()) + p1.getX();
double y2 = t * (p2.getY() - p1.getY()) + p1.getY();
double z2 = t * (p2.getZ() - p1.getZ()) + p1.getZ();
Point3D newp = new Point3D(x2, y2, z2);
Arrow3D newa = new Arrow3D(p1, newp);
newa.setMaterial(m);
newa.setArrowRadius(arrowRadius);
return newa;
}
public void checkScale(Point3D newMaxLengthXYZ) {
// yz
xAxisGrid.updateGrid(new Point2D(newMaxLengthXYZ.getY(), newMaxLengthXYZ.getZ()));
// zx
yAxisGrid.updateGrid(new Point2D(newMaxLengthXYZ.getZ(), newMaxLengthXYZ.getX()));
// xy
zAxisGrid.updateGrid(new Point2D(newMaxLengthXYZ.getX(), newMaxLengthXYZ.getY()));
reDeclareLabels();
}
private void reDeclareLabels() {
xAxisGrid.reDeclareLabels(
new Point2D(axisLimitMin.getY(), axisLimitMin.getZ()),
new Point2D(axisLimitMax.getY(), axisLimitMax.getZ()));
yAxisGrid.reDeclareLabels(
new Point2D(axisLimitMin.getZ(), axisLimitMin.getX()),
new Point2D(axisLimitMax.getZ(), axisLimitMax.getX()));
zAxisGrid.reDeclareLabels(
new Point2D(axisLimitMin.getX(), axisLimitMin.getY()),
new Point2D(axisLimitMax.getX(), axisLimitMax.getY()));
}
/**
* Provides the Arrow3D angle with y axis
*
* @return phi Double value of angle of arrow line to y axis
*/
public double phi() {
double x, y, z;
// Relocate line start point to origin
x = p2.getX() - p1.getX();
y = p2.getY() - p1.getY();
z = p2.getZ() - p1.getZ();
// Compute phi
double rho = Math.sqrt(x * x + y * y + z * z);
return Math.acos(-y / rho);
}
private AxisGrid createBasicAxisGrid(
Point3D planeVectorXYZ, Point2D tickSeperationXY, Point2D axisLengthXY, double thickness) {
AxisGrid tempGrid =
new AxisGrid(
planeVectorXYZ, tickSeperationXY, axisLengthXY, thickness, tickSeperationXYZ.getX());
return tempGrid;
}
/**
* Rotates the Cell towards the Viewer when it is close to the center. Also mirrors the cells
* after they passed the center to keep the Cells correctly visible for the viewer.
*/
public void applyViewRotation() {
if (index < 3) {
double angle = index > -3 ? Math.PI / 2 * -index / 3 + Math.PI / 2 : Math.PI;
Point3D axis = new Point3D((ul.getX() + ur.getX()) / 2, 0, (ul.getZ() + ur.getZ()) / 2);
ul = rotateY(ul, axis, angle);
ur = rotateY(ur, axis, angle);
ll = rotateY(ll, axis, angle);
lr = rotateY(lr, axis, angle);
if (reflection != null) {
ulReflection = rotateY(ulReflection, axis, angle);
urReflection = rotateY(urReflection, axis, angle);
}
}
}
AxisLineOld(double radius, double height, Rotate rotate, Point3D offset) {
super(radius, height);
this.rotate = rotate;
this.offset = new Translate(offset.getX(), offset.getY(), offset.getZ());
;
this.getTransforms().addAll(this.rotate, this.offset);
}
public Point3D unTransform(Point3D p) {
try {
javafx.geometry.Point3D ta = a.inverseTransform(p.x, p.y, p.z);
return new Point3D((float) ta.getX(), (float) ta.getY(), (float) ta.getZ());
} catch (NonInvertibleTransformException ex) {
System.out.println("p not invertible " + p);
}
return p;
}
public static final Point3D absoluteSum(final Collection<Point3D> c) {
double x = 0d;
double y = 0d;
double z = 0d;
for (Point3D p : c) {
x += Math.abs(p.getX());
y += Math.abs(p.getY());
z += Math.abs(p.getZ());
}
return new Point3D(x, y, z);
}
private Cylinder createScaleAxis(Point3D direction, double length, double thickness) {
// generate the cylinder
// default position is centered on (0,0,0) in direction (0,1,0)
Cylinder tempBox = new Cylinder(thickness, length * 1.05d);
// rotate the axis to face the right direction
// in this case the axis
tempBox.getTransforms().add(Vector3DUtil.rotateVector(new Point3D(0, 1, 0), direction));
tempBox.getTransforms().add(new Translate(0, (length * 1.05d) / 2, 0));
// create the material to colour the axis
PhongMaterial mat = new PhongMaterial();
mat.setDiffuseColor(new Color(direction.getX(), direction.getY(), direction.getZ(), 1));
mat.setSpecularColor(new Color(direction.getX(), direction.getY(), direction.getZ(), 1));
// set the material -> ie colour the axis
tempBox.setMaterial(mat);
return tempBox;
}
/**
* Returns a String containing all Box3D values for saving to a data file. The String is processed
* by the Box3D(String) constructor to recreate a Box3D object when reading a saved data file.
*
* @return String capturing all Box field values
*/
public String outString() {
String ms = null;
if (m != null) {
if (m.getDiffuseColor() != null) {
ms = m.getDiffuseColor().toString();
}
if (m.getSpecularColor() != null) {
ms = ms.concat(", " + m.getSpecularColor().toString());
}
}
return "Box: " + p.getX() + ", " + p.getY() + ", " + p.getZ() + ", " + width + ", " + height
+ ", " + depth + ", " + xr + ", " + yr + ", " + zr + ", " + dm + ", " + cf + ", " + ms;
}
public AxisGroup(
Point3D origin, Point3D maxLength, double axisThickness, Point3D tickSeperationXYZ) {
this.tickSeperationXYZ = tickSeperationXYZ;
// create axis grids
// yz plane
this.getChildren()
.add(
xAxisGrid =
createBasicAxisGrid(
new Point3D(1, 0, 0),
new Point2D(tickSeperationXYZ.getY(), tickSeperationXYZ.getZ()),
new Point2D(maxLength.getY(), maxLength.getZ()),
axisThickness / 10));
// zx plane
this.getChildren()
.add(
yAxisGrid =
createBasicAxisGrid(
new Point3D(0, 1, 0),
new Point2D(tickSeperationXYZ.getZ(), tickSeperationXYZ.getX()),
new Point2D(maxLength.getZ(), maxLength.getX()),
axisThickness / 10));
// xy plane
this.getChildren()
.add(
zAxisGrid =
createBasicAxisGrid(
new Point3D(0, 0, 1),
new Point2D(tickSeperationXYZ.getX(), tickSeperationXYZ.getY()),
new Point2D(maxLength.getX(), maxLength.getY()),
axisThickness / 10));
}
public static String getRightRotation(Point3D p, String selFaces) {
double radius = p.magnitude();
double angle = Math.atan2(p.getY(), p.getX());
String face = "";
if (radius >= radMinimum && selFaces.contains("-") && selFaces.split("-").length == 2) {
String[] faces = selFaces.split("-");
// select rotation if p.getX>p.getY
if (-Math.PI / 4d <= angle && angle < Math.PI / 4d) { // X
face = faces[0];
} else if (Math.PI / 4d <= angle && angle < 3d * Math.PI / 4d) { // Y
face = faces[1];
} else if ((3d * Math.PI / 4d <= angle && angle <= Math.PI)
|| (-Math.PI <= angle && angle < -3d * Math.PI / 4d)) { // -X
face = reverseRotation(faces[0]);
} else { // -Y
face = reverseRotation(faces[1]);
}
System.out.println("face: " + face);
} else if (!face.isEmpty() && radius < radMinimum) { // reset previous face
face = "";
}
return face;
}
public static final Point3D plus(
final Point3D p, final double dx, final double dy, final double dz) {
if (dy == 0d && dy == 0d && dz == 0d) return p;
else return new Point3D(p.getX() + dx, p.getY() + dy, p.getZ() + dz);
}
public static final Point3D multiply(final double f, final Point3D p) {
return Point3DBuilder.create().x(p.getX() * f).y(p.getY() * f).z(p.getZ() * f).build();
}
public static final Point3D divide(final Point3D p, final double f) {
return Point3DBuilder.create().x(p.getX() / f).y(p.getY() / f).z(p.getZ() / f).build();
}
private Point3D transform(Point3D p) {
javafx.geometry.Point3D ta = a.transform(p.x, p.y, p.z);
return new Point3D((float) ta.getX(), (float) ta.getY(), (float) ta.getZ());
}
public static final double scalarProduct(final Point3D p, final Point3D q) {
return p.getX() * q.getX() + p.getY() * q.getY() + p.getZ() * q.getZ();
}
private static Point2D project(Point3D p, double viewDistance, double fov, double cw, double ch) {
return new Point2D(
p.getX() * fov / (p.getZ() + viewDistance) + cw,
p.getY() * fov / (p.getZ() + viewDistance) + ch);
}
private Point3D transform(double x, double y, double z) {
javafx.geometry.Point3D ta = a.transform(x, y, z);
return new Point3D((float) ta.getX(), (float) ta.getY(), (float) ta.getZ());
}
public static String getPickedRotation(int cubie, MeshView mesh) {
Point3D normal = getMeshNormal(mesh);
String rots = ""; // Rx-Ry
switch (cubie) {
case 0:
rots =
(normal.getZ() > 0.99)
? "Ui-Li"
: ((normal.getX() < -0.99) ? "Ui-F" : ((normal.getY() > 0.99) ? "Ui-Li" : ""));
break;
case 1:
rots =
(normal.getZ() > 0.99)
? "F-Mi"
: ((normal.getY() > 0.99) ? "Ui-Mi" : ""); // between L and R, as L
break;
case 2:
rots =
(normal.getZ() > 0.99)
? "Ui-R"
: ((normal.getX() > 0.99) ? "Ui-Fi" : ((normal.getY() > 0.99) ? "Ui-R" : ""));
break;
case 3:
rots =
(normal.getZ() > 0.99)
? "E-F"
: ((normal.getX() < -0.99) ? "E-Li" : ""); // between U and D, as D
break;
case 4:
rots = (normal.getZ() > 0.99) ? "Yi-X" : "";
break;
case 5:
rots =
(normal.getZ() > 0.99)
? "E-Fi"
: ((normal.getX() > 0.99) ? "E-R" : ""); // between U and D, as D
break;
case 6:
rots =
(normal.getZ() > 0.99)
? "D-Li"
: ((normal.getX() < -0.99) ? "D-F" : ((normal.getY() < -0.99) ? "D-Li" : ""));
break;
case 7:
rots =
(normal.getZ() > 0.99)
? "Fi-Mi"
: ((normal.getY() < -0.99) ? "Fi-Mi" : ""); // between L and R, as L
break;
case 8:
rots =
(normal.getZ() > 0.99)
? "D-R"
: ((normal.getX() > 0.99) ? "D-Fi" : ((normal.getY() < -0.99) ? "D-R" : ""));
break;
case 9:
rots =
(normal.getY() > 0.99)
? "S-U"
: ((normal.getX() < -0.99) ? "L-S" : ""); // between U and D, as D
break;
case 10:
rots = (normal.getY() > 0.99) ? "Z-X" : "";
break;
case 11:
rots =
(normal.getY() > 0.99)
? "S-Ui"
: ((normal.getX() > 0.99) ? "R-Si" : ""); // between U and D, as D
break;
case 12:
rots = (normal.getX() < -0.99) ? "Yi-Z" : "";
break;
case 14:
rots = (normal.getX() > 0.99) ? "Yi-Zi" : "";
break;
case 15:
rots =
(normal.getY() < -0.99)
? "D-S"
: ((normal.getX() < -0.99) ? "Li-S" : ""); // between U and D, as D
break;
case 16:
rots = (normal.getY() < -0.99) ? "Zi-X" : "";
break;
case 17:
rots =
(normal.getY() < -0.99)
? "D-S"
: ((normal.getX() > 0.99) ? "Ri-Si" : ""); // between U and D, as D
break;
case 18:
rots =
(normal.getZ() < -0.99)
? "Ui-L"
: ((normal.getX() < -0.99) ? "Ui-Bi" : ((normal.getY() > 0.99) ? "Ui-L" : ""));
break;
case 19:
rots =
(normal.getZ() < -0.99)
? "B-M"
: ((normal.getY() > 0.99) ? "U-M" : ""); // between L and R, as L
break;
case 20:
rots =
(normal.getZ() < -0.99)
? "Ui-Ri"
: ((normal.getX() > 0.99) ? "Ui-B" : ((normal.getY() > 0.99) ? "Ui-Ri" : ""));
break;
case 21:
rots =
(normal.getZ() < -0.99)
? "E-Bi"
: ((normal.getX() < -0.99) ? "E-L" : ""); // between U and D, as D
break;
case 22:
rots = (normal.getZ() < -0.99) ? "Yi-Xi" : "";
break;
case 23:
rots =
(normal.getZ() < -0.99)
? "E-B"
: ((normal.getX() > 0.99) ? "E-Ri" : ""); // between U and D, as D
break;
case 24:
rots =
(normal.getZ() < -0.99)
? "D-L"
: ((normal.getX() < -0.99) ? "D-Bi" : ((normal.getY() < -0.99) ? "D-L" : ""));
break;
case 25:
rots =
(normal.getZ() < -0.99)
? "Bi-M"
: ((normal.getY() < -0.99) ? "Bi-M" : ""); // between L and R, as L
break;
case 26:
rots =
(normal.getZ() < -0.99)
? "D-Ri"
: ((normal.getX() > 0.99) ? "D-B" : ((normal.getY() < -0.99) ? "D-B" : ""));
break;
}
return rots;
}
/**
* Provides the Arrow3D line length (in user coordinate space)
*
* @return length Double value of the Arrow length
*/
public double length() {
return Math.sqrt(
(p1.getX() - p2.getX()) * (p1.getX() - p2.getX())
+ (p1.getY() - p2.getY()) * (p1.getY() - p2.getY())
+ (p1.getZ() - p2.getZ()) * (p1.getZ() - p2.getZ()));
}