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DJUTILS - Delft Java Utilities Drawing and animation primitives
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package org.djutils.draw.point;
import java.awt.geom.Point2D;
import java.util.Arrays;
import java.util.Iterator;
import java.util.Locale;
import org.djutils.draw.DrawRuntimeException;
import org.djutils.draw.Drawable3d;
import org.djutils.draw.bounds.Bounds3d;
import org.djutils.exceptions.Throw;
/**
* A Point3d is an immutable point with an x, y, and z coordinate, stored with double precision. It differs from many Point
* implementations by being immutable.
*
* Copyright (c) 2020-2024 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved.
* BSD-style license. See DJUTILS License.
*
* @author Alexander Verbraeck
* @author Peter Knoppers
*/
public class Point3d implements Drawable3d, Point
{
/** */
private static final long serialVersionUID = 20201201L;
/** The x-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double x;
/** The y-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double y;
/** The z-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double z;
/**
* Create a new Point from x, y and z coordinates provided as double arguments.
* @param x double; the x coordinate
* @param y double; the y coordinate
* @param z double; the z coordinate
* @throws IllegalArgumentException when x or y or z is NaN
*/
public Point3d(final double x, final double y, final double z)
{
Throw.when(Double.isNaN(x) || Double.isNaN(y) || Double.isNaN(z), IllegalArgumentException.class,
"Coordinate must be a number (not NaN)");
this.x = x;
this.y = y;
this.z = z;
}
/**
* Create a new Point3d from x, y and z coordinates provided as values in a double array.
* @param xyz double[]; the x, y and z coordinates
* @throws NullPointerException when xyz is null
* @throws IllegalArgumentException when the length of xyz is not 3, or a coordinate is NaN
*/
public Point3d(final double[] xyz) throws NullPointerException, IllegalArgumentException
{
this(checkLengthIsThree(Throw.whenNull(xyz, "xyz"))[0], xyz[1], xyz[2]);
}
/**
* Create a new Point3d from x, y stored in a java.awt.geom.Point2D and double z.
* @param point Point2d; a java.awt.geom.Point2D
* @param z double; the z coordinate
* @throws NullPointerException when point is null
* @throws IllegalArgumentException when z is NaN
*/
public Point3d(final Point2d point, final double z) throws NullPointerException, IllegalArgumentException
{
Throw.whenNull(point, "point");
Throw.when(Double.isNaN(z), IllegalArgumentException.class, "Coordinate must be a number (not NaN)");
this.x = point.x;
this.y = point.y;
this.z = z;
}
/**
* Create an immutable point from x, y obtained from a AWT Point2D and double z.
* @param point Point2D; an AWT Point2D
* @param z double; the z coordinate
* @throws NullPointerException when point is null
* @throws IllegalArgumentException when point has a NaN coordinate, or z is NaN
*/
public Point3d(final Point2D point, final double z) throws NullPointerException, IllegalArgumentException
{
Throw.whenNull(point, "point");
Throw.when(Double.isNaN(point.getX()) || Double.isNaN(point.getY()), IllegalArgumentException.class,
"Coordinate must be a number (not NaN)");
Throw.when(Double.isNaN(z), IllegalArgumentException.class, "Coordinate must be a number (not NaN)");
this.x = point.getX();
this.y = point.getY();
this.z = z;
}
/**
* Throw an IllegalArgumentException if the length of the provided array is not three.
* @param xyz double[]; the provided array
* @return double[]; the provided array
* @throws IllegalArgumentException when length of xyz is not three
*/
private static double[] checkLengthIsThree(final double[] xyz) throws IllegalArgumentException
{
Throw.when(xyz.length != 3, IllegalArgumentException.class, "Length of xy-array must be 2");
return xyz;
}
@Override
public final double getX()
{
return this.x;
}
@Override
public final double getY()
{
return this.y;
}
/**
* Return the z-coordinate.
* @return double; the z-coordinate
*/
public final double getZ()
{
return this.z;
}
@Override
public double distanceSquared(final Point3d otherPoint) throws NullPointerException
{
Throw.whenNull(otherPoint, "otherPoint");
double dx = this.x - otherPoint.x;
double dy = this.y - otherPoint.y;
double dz = this.z - otherPoint.z;
return dx * dx + dy * dy + dz * dz;
}
@Override
public double distance(final Point3d otherPoint) throws NullPointerException
{
Throw.whenNull(otherPoint, "otherPoint");
return Math.sqrt(distanceSquared(otherPoint));
}
@Override
public int size()
{
return 1;
}
@Override
public Iterator getPoints()
{
return Arrays.stream(new Point3d[] {this}).iterator();
}
@Override
public Point2d project() throws DrawRuntimeException
{
return new Point2d(this.x, this.y);
}
/**
* Return a new Point3d with a translation by the provided dx and dy.
* @param dx double; the x translation
* @param dy double; the y translation
* @return Point3D; a new point with the translated coordinates
* @throws IllegalArgumentException when dx, or dy is NaN
*/
public Point3d translate(final double dx, final double dy) throws IllegalArgumentException
{
Throw.when(Double.isNaN(dx) || Double.isNaN(dy), IllegalArgumentException.class,
"Translation must be number (not NaN)");
return new Point3d(this.x + dx, this.y + dy, this.z);
}
/**
* Return a new Point3d with a translation by the provided dx, dy and dz.
* @param dx double; the x translation
* @param dy double; the y translation
* @param dz double; the z translation
* @return Point3d; a new point with the translated coordinates
* @throws IllegalArgumentException when dx, dy, or dz is NaN
*/
public Point3d translate(final double dx, final double dy, final double dz) throws IllegalArgumentException
{
Throw.when(Double.isNaN(dx) || Double.isNaN(dy) || Double.isNaN(dz), IllegalArgumentException.class,
"dx, dy and dz must be numbers (not NaN)");
return new Point3d(this.x + dx, this.y + dy, this.z + dz);
}
@Override
public Point3d scale(final double factor) throws IllegalArgumentException
{
Throw.when(Double.isNaN(factor), IllegalArgumentException.class, "factor must be a number (not NaN)");
return new Point3d(this.x * factor, this.y * factor, this.z * factor);
}
@Override
public Point3d neg()
{
return scale(-1.0);
}
@Override
public Point3d abs()
{
return new Point3d(Math.abs(this.x), Math.abs(this.y), Math.abs(this.z));
}
@Override
public Point3d normalize() throws DrawRuntimeException
{
double length = Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z);
Throw.when(length == 0.0, DrawRuntimeException.class, "cannot normalize (0.0, 0.0, 0.0)");
return this.scale(1.0 / length);
}
@Override
public Point3d interpolate(final Point3d point, final double fraction)
{
Throw.whenNull(point, "point");
Throw.when(Double.isNaN(fraction), IllegalArgumentException.class, "fraction must be a number (not NaN)");
return new Point3d((1.0 - fraction) * this.x + fraction * point.x, (1.0 - fraction) * this.y + fraction * point.y,
(1.0 - fraction) * this.z + fraction * point.z);
}
@Override
public boolean epsilonEquals(final Point3d otherPoint, final double epsilon)
{
Throw.whenNull(otherPoint, "otherPoint");
if (Math.abs(this.x - otherPoint.x) > epsilon)
{
return false;
}
if (Math.abs(this.y - otherPoint.y) > epsilon)
{
return false;
}
if (Math.abs(this.z - otherPoint.z) > epsilon)
{
return false;
}
return true;
}
@Override
public Bounds3d getBounds()
{
return new Bounds3d(this);
}
@Override
public final Point3d closestPointOnSegment(final Point3d segmentPoint1, final Point3d segmentPoint2)
{
Throw.whenNull(segmentPoint1, "segmentPoint1");
Throw.whenNull(segmentPoint2, "segmentPoint2");
return closestPointOnSegment(segmentPoint1.x, segmentPoint1.y, segmentPoint1.z, segmentPoint2.x, segmentPoint2.y,
segmentPoint2.z);
}
/**
* Compute the closest point on a line with optional limiting of the result on either end.
* @param p1X double; the x coordinate of the first point on the line
* @param p1Y double; the y coordinate of the first point on the line
* @param p1Z double; the z coordinate of the first point on the line
* @param p2X double; the x coordinate of the second point on the line
* @param p2Y double; the y coordinate of the second point on the line
* @param p2Z double; the z coordinate of the second point on the line
* @param lowLimitHandling Boolean; controls handling of results that lie before the first point of the line. If null; this
* method returns null; else if true; this method returns (p1X,p1Y); else (lowLimitHandling is false); this
* method will return the closest point on the line
* @param highLimitHandling Boolean; controls the handling of results that lie beyond the second point of the line. If null;
* this method returns null; else if true; this method returns (p2X,p2Y); else (highLimitHandling is false); this
* method will return the closest point on the line
* @return Point3d; the closest point on the line after applying the indicated limit handling; so the result can be null
* @throws DrawRuntimeException when any of the arguments is NaN
*/
@SuppressWarnings("checkstyle:parameternumber")
public Point3d closestPointOnLine(final double p1X, final double p1Y, final double p1Z, final double p2X, final double p2Y,
final double p2Z, final Boolean lowLimitHandling, final Boolean highLimitHandling) throws DrawRuntimeException
{
double fraction = fractionalPositionOnLine(p1X, p1Y, p1Z, p2X, p2Y, p2Z, lowLimitHandling, highLimitHandling);
if (Double.isNaN(fraction))
{
return null;
}
if (fraction == 1.0)
{
return new Point3d(p2X, p2Y, p2Z); // Maximize precision in case fraction == 1.0
}
return new Point3d(p1X + fraction * (p2X - p1X), p1Y + fraction * (p2Y - p1Y), p1Z + fraction * (p2Z - p1Z));
}
/**
* Compute the fractional position of the closest point on a line with optional limiting of the result on either end. If the
* line has length 0; this method returns 0.0.
* @param p1X double; the x coordinate of the first point on the line
* @param p1Y double; the y coordinate of the first point on the line
* @param p1Z double; the z coordinate of the first point on the line
* @param p2X double; the x coordinate of the second point on the line
* @param p2Y double; the y coordinate of the second point on the line
* @param p2Z double; the z coordinate of the second point on the line
* @param lowLimitHandling Boolean; controls handling of results that lie before the first point of the line. If null; this
* method returns NaN; else if true; this method returns 0.0; else (lowLimitHandling is false); this results <
* 0.0 are returned
* @param highLimitHandling Boolean; controls the handling of results that lie beyond the second point of the line. If null;
* this method returns NaN; else if true; this method returns 1.0; else (highLimitHandling is false); results
* > 1.0 are returned
* @return double; the fractional position of the closest point on the line. Results within the range 0.0 .. 1.0 are always
* returned as is.. A result < 0.0 is subject to lowLimitHandling. A result > 1.0 is subject to
* highLimitHandling
* @throws DrawRuntimeException when any of the arguments is NaN
*/
@SuppressWarnings("checkstyle:parameternumber")
public double fractionalPositionOnLine(final double p1X, final double p1Y, final double p1Z, final double p2X,
final double p2Y, final double p2Z, final Boolean lowLimitHandling, final Boolean highLimitHandling)
throws DrawRuntimeException
{
double dX = p2X - p1X;
double dY = p2Y - p1Y;
double dZ = p2Z - p1Z;
Throw.when(Double.isNaN(dX) || Double.isNaN(dY) || Double.isNaN(dZ), DrawRuntimeException.class,
"NaN values not permitted");
if (0 == dX && 0 == dY && 0 == dZ)
{
return 0.0;
}
double fraction = ((this.x - p1X) * dX + (this.y - p1Y) * dY + (this.z - p1Z) * dZ) / (dX * dX + dY * dY + dZ * dZ);
if (fraction < 0.0)
{
if (lowLimitHandling == null)
{
return Double.NaN;
}
if (lowLimitHandling)
{
fraction = 0.0;
}
}
else if (fraction > 1.0)
{
if (highLimitHandling == null)
{
return Double.NaN;
}
if (highLimitHandling)
{
fraction = 1.0;
}
}
return fraction;
}
/**
* Project a point on a line segment. If the the projected points lies outside the line segment, the nearest end point of
* the line segment is returned. Otherwise the returned point lies between the end points of the line segment.
* Adapted from example code provided by Paul
* Bourke.
* @param p1X double; the x coordinate of the start point of the line segment
* @param p1Y double; the y coordinate of the start point of the line segment
* @param p1Z double; the z coordinate of the start point of the line segment
* @param p2X double; the x coordinate of the end point of the line segment
* @param p2Y double; the y coordinate of the end point of the line segment
* @param p2Z double; the y coordinate of the end point of the line segment
* @return P; either segmentPoint1, or segmentPoint2 or a new Point2d that lies somewhere in
* between those two.
* @throws DrawRuntimeException when any of the parameters is NaN
*/
public final Point3d closestPointOnSegment(final double p1X, final double p1Y, final double p1Z, final double p2X,
final double p2Y, final double p2Z) throws DrawRuntimeException
{
return closestPointOnLine(p1X, p1Y, p1Z, p2X, p2Y, p2Z, true, true);
}
@Override
public final Point3d closestPointOnLine(final Point3d linePoint1, final Point3d linePoint2)
throws NullPointerException, DrawRuntimeException
{
Throw.whenNull(linePoint1, "linePoint1");
Throw.whenNull(linePoint2, "linePoint2");
return closestPointOnLine(linePoint1.x, linePoint1.y, linePoint1.z, linePoint2.x, linePoint2.y, linePoint2.z);
}
/**
* Project a point on a line.
* Adapted from example code provided by Paul
* Bourke.
* @param p1X double; the x coordinate of a point of the line
* @param p1Y double; the y coordinate of a point of the line
* @param p1Z double; the z coordinate of a point on the line
* @param p2X double; the x coordinate of another point on the line
* @param p2Y double; the y coordinate of another point on the line
* @param p2Z double; the z coordinate of another point on the line
* @return Point3d; a point on the line that goes through the points
* @throws DrawRuntimeException when the points on the line are identical
*/
public final Point3d closestPointOnLine(final double p1X, final double p1Y, final double p1Z, final double p2X,
final double p2Y, final double p2Z) throws DrawRuntimeException
{
Throw.when(p1X == p2X && p1Y == p2Y && p1Z == p2Z, DrawRuntimeException.class, "degenerate line not allowed");
return closestPointOnLine(p1X, p1Y, p1Z, p2X, p2Y, p2Z, false, false);
}
/**
* Return the direction of the point in radians with respect to the origin, ignoring the z-coordinate.
* @return double; the direction of the projection of the point in the x-y plane with respect to the origin, in radians
*/
final double horizontalDirection()
{
return Math.atan2(this.y, this.x);
}
/**
* Return the direction to another point, in radians, ignoring the z-coordinate.
* @param otherPoint Point3d; the other point
* @return double; the direction of the projection of the point in the x-y plane to another point, in radians
* @throws NullPointerException when point is null
*/
final double horizontalDirection(final Point3d otherPoint) throws NullPointerException
{
Throw.whenNull(otherPoint, "otherPoint");
return Math.atan2(otherPoint.y - this.y, otherPoint.x - this.x);
}
/**
* Return the direction with respect to the Z axis to another point, in radians.
* @param otherPoint Point3d; the other point
* @return double; the direction with respect to the Z axis to another point, in radians
* @throws NullPointerException when point is null
*/
final double verticalDirection(final Point3d otherPoint) throws NullPointerException
{
Throw.whenNull(otherPoint, "otherPoint");
return Math.atan2(Math.hypot(otherPoint.y - this.y, otherPoint.x - this.x), otherPoint.z - this.z);
}
/**
* Return the squared distance between the coordinates of this point and the provided point, ignoring the z-coordinate.
* @param otherPoint Point3d; the other point
* @return double; the squared distance between this point and the other point, ignoring the z-coordinate
* @throws NullPointerException when point is null
*/
final double horizontalDistanceSquared(final Point3d otherPoint)
{
Throw.whenNull(otherPoint, "otherPoint");
double dx = this.x - otherPoint.x;
double dy = this.y - otherPoint.y;
return dx * dx + dy * dy;
}
/**
* Return the Euclidean distance between this point and the provided point, ignoring the z-coordinate.
* @param otherPoint Point3d; the other point
* @return double; the Euclidean distance between this point and the other point, ignoring the z-coordinate
* @throws NullPointerException when point is null
*/
final double horizontalDistance(final Point3d otherPoint)
{
return Math.sqrt(horizontalDistanceSquared(otherPoint));
}
@Override
@SuppressWarnings("checkstyle:designforextension")
public String toString()
{
return toString("%f");
}
@Override
public String toString(final String doubleFormat, final boolean doNotIncludeClassName)
{
String format = String.format("%1$s[x=%2$s, y=%2$s, z=%2$s]", doNotIncludeClassName ? "" : "Point3d ", doubleFormat);
return String.format(Locale.US, format, this.x, this.y, this.z);
}
@Override
public int hashCode()
{
final int prime = 31;
int result = 1;
long temp;
temp = Double.doubleToLongBits(this.x);
result = prime * result + (int) (temp ^ (temp >>> 32));
temp = Double.doubleToLongBits(this.y);
result = prime * result + (int) (temp ^ (temp >>> 32));
temp = Double.doubleToLongBits(this.z);
result = prime * result + (int) (temp ^ (temp >>> 32));
return result;
}
@SuppressWarnings("checkstyle:needbraces")
@Override
public boolean equals(final Object obj)
{
if (this == obj)
return true;
if (obj == null)
return false;
if (getClass() != obj.getClass())
return false;
Point3d other = (Point3d) obj;
if (Double.doubleToLongBits(this.x) != Double.doubleToLongBits(other.x))
return false;
if (Double.doubleToLongBits(this.y) != Double.doubleToLongBits(other.y))
return false;
if (Double.doubleToLongBits(this.z) != Double.doubleToLongBits(other.z))
return false;
return true;
}
}