OTSPoint3D.java
package org.opentrafficsim.core.geometry;
import java.awt.geom.Point2D;
import java.io.Serializable;
import java.util.ArrayList;
import java.util.List;
import javax.media.j3d.BoundingSphere;
import javax.media.j3d.Bounds;
import javax.vecmath.Point3d;
import org.djunits.unit.LengthUnit;
import org.djunits.value.vdouble.scalar.Length;
import org.locationtech.jts.geom.Coordinate;
import org.locationtech.jts.geom.Point;
import nl.tudelft.simulation.dsol.animation.Locatable;
import nl.tudelft.simulation.language.d3.CartesianPoint;
import nl.tudelft.simulation.language.d3.DirectedPoint;
/**
* An OTSPoint3D implements a 3D-coordinate for OTS. X, y and z are stored as doubles, but it is assumed that the scale is in SI
* units, i.e. in meters. A distance between two points is therefore also in meters.
* <p>
* Copyright (c) 2013-2019 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved. <br>
* BSD-style license. See <a href="http://opentrafficsim.org/docs/license.html">OpenTrafficSim License</a>.
* <p>
* $LastChangedDate: 2015-07-16 10:20:53 +0200 (Thu, 16 Jul 2015) $, @version $Revision: 1124 $, by $Author: pknoppers $,
* initial version Jul 22, 2015 <br>
* @author <a href="http://www.tbm.tudelft.nl/averbraeck">Alexander Verbraeck</a>
* @author <a href="http://www.tudelft.nl/pknoppers">Peter Knoppers</a>
* @author <a href="http://www.citg.tudelft.nl">Guus Tamminga</a>
*/
public class OTSPoint3D implements Locatable, Serializable
{
/** */
private static final long serialVersionUID = 20150722L;
/** The internal representation of the point; x-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double x;
/** The internal representation of the point; y-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double y;
/** The internal representation of the point; z-coordinate. */
@SuppressWarnings("checkstyle:visibilitymodifier")
public final double z;
/**
* The x, y and z in the point are assumed to be in meters relative to an origin.
* @param x double; x-coordinate
* @param y double; y-coordinate
* @param z double; z-coordinate
*/
public OTSPoint3D(final double x, final double y, final double z)
{
this.x = x;
this.y = y;
this.z = z;
}
/**
* @param xyz array with three elements; x, y and z are assumed to be in meters relative to an origin.
*/
public OTSPoint3D(final double[] xyz)
{
this(xyz[0], xyz[1], (xyz.length > 2) ? xyz[2] : 0.0);
}
/**
* @param point OTSPoint3D; a point to "clone".
*/
public OTSPoint3D(final OTSPoint3D point)
{
this(point.x, point.y, point.z);
}
/**
* @param point javax.vecmath 3D double point; the x, y and z in the point are assumed to be in meters relative to an
* origin.
*/
public OTSPoint3D(final Point3d point)
{
this(point.x, point.y, point.z);
}
/**
* @param point javax.vecmath 3D double point; the x, y and z in the point are assumed to be in meters relative to an
* origin.
*/
public OTSPoint3D(final CartesianPoint point)
{
this(point.x, point.y, point.z);
}
/**
* @param point javax.vecmath 3D double point; the x, y and z in the point are assumed to be in meters relative to an
* origin.
*/
public OTSPoint3D(final DirectedPoint point)
{
this(point.x, point.y, point.z);
}
/**
* @param point2d java.awt 2D point, z-coordinate will be zero; the x and y in the point are assumed to be in meters
* relative to an origin.
*/
public OTSPoint3D(final Point2D point2d)
{
this(point2d.getX(), point2d.getY(), 0.0);
}
/**
* @param coordinate geotools coordinate; the x, y and z in the coordinate are assumed to be in meters relative to an
* origin.
*/
public OTSPoint3D(final Coordinate coordinate)
{
this(coordinate.x, coordinate.y, Double.isNaN(coordinate.z) ? 0.0 : coordinate.z);
}
/**
* @param point geotools point; z-coordinate will be zero; the x and y in the point are assumed to be in meters relative to
* an origin.
*/
public OTSPoint3D(final Point point)
{
this(point.getX(), point.getY(), 0.0);
}
/**
* The x and y in the point are assumed to be in meters relative to an origin. z will be set to 0.
* @param x double; x-coordinate
* @param y double; y-coordinate
*/
public OTSPoint3D(final double x, final double y)
{
this(x, y, 0.0);
}
/**
* Interpolate (or extrapolate) between (outside) two given points.
* @param ratio double; 0 selects the zeroValue point, 1 selects the oneValue point, 0.5 selects a point halfway, etc.
* @param zeroValue OTSPoint3D; the point that is returned when ratio equals 0
* @param oneValue OTSPoint3D; the point that is returned when ratio equals 1
* @return OTSPoint3D
*/
public static OTSPoint3D interpolate(final double ratio, final OTSPoint3D zeroValue, final OTSPoint3D oneValue)
{
double complement = 1 - ratio;
return new OTSPoint3D(complement * zeroValue.x + ratio * oneValue.x, complement * zeroValue.y + ratio * oneValue.y,
complement * zeroValue.z + ratio * oneValue.z);
}
/**
* Compute the 2D intersection of two line segments. The Z-component of the lines is ignored. Both line segments are defined
* by two points (that should be distinct). This version suffers loss of precision when called with very large coordinate
* values.
* @param line1P1 OTSPoint3D; first point of line segment 1
* @param line1P2 OTSPoint3D; second point of line segment 1
* @param line2P1 OTSPoint3D; first point of line segment 2
* @param line2P2 OTSPoint3D; second point of line segment 2
* @return OTSPoint3D; the intersection of the two lines, or null if the lines are (almost) parallel, or do not intersect
*/
@Deprecated
public static OTSPoint3D intersectionOfLineSegmentsDumb(final OTSPoint3D line1P1, final OTSPoint3D line1P2,
final OTSPoint3D line2P1, final OTSPoint3D line2P2)
{
double denominator =
(line2P2.y - line2P1.y) * (line1P2.x - line1P1.x) - (line2P2.x - line2P1.x) * (line1P2.y - line1P1.y);
if (denominator == 0f)
{
return null; // lines are parallel (they might even be on top of each other, but we don't check that)
}
double uA = ((line2P2.x - line2P1.x) * (line1P1.y - line2P1.y) - (line2P2.y - line2P1.y) * (line1P1.x - line2P1.x))
/ denominator;
if ((uA < 0f) || (uA > 1f))
{
return null; // intersection outside line 1
}
double uB = ((line1P2.x - line1P1.x) * (line1P1.y - line2P1.y) - (line1P2.y - line1P1.y) * (line1P1.x - line2P1.x))
/ denominator;
if (uB < 0 || uB > 1)
{
return null; // intersection outside line 2
}
return new OTSPoint3D(line1P1.x + uA * (line1P2.x - line1P1.x), line1P1.y + uA * (line1P2.y - line1P1.y), 0);
}
/**
* Compute the 2D intersection of two line segments. The Z-component of the lines is ignored. Both line segments are defined
* by two points (that should be distinct).
* @param line1P1 OTSPoint3D; first point of line segment 1
* @param line1P2 OTSPoint3D; second point of line segment 1
* @param line2P1 OTSPoint3D; first point of line segment 2
* @param line2P2 OTSPoint3D; second point of line segment 2
* @return OTSPoint3D; the intersection of the two lines, or null if the lines are (almost) parallel, or do not intersect
*/
public static OTSPoint3D intersectionOfLineSegments(final OTSPoint3D line1P1, final OTSPoint3D line1P2,
final OTSPoint3D line2P1, final OTSPoint3D line2P2)
{
double l1p1x = line1P1.x;
double l1p1y = line1P1.y;
double l1p2x = line1P2.x - l1p1x;
double l1p2y = line1P2.y - l1p1y;
double l2p1x = line2P1.x - l1p1x;
double l2p1y = line2P1.y - l1p1y;
double l2p2x = line2P2.x - l1p1x;
double l2p2y = line2P2.y - l1p1y;
double denominator = (l2p2y - l2p1y) * l1p2x - (l2p2x - l2p1x) * l1p2y;
if (denominator == 0f)
{
return null; // lines are parallel (they might even be on top of each other, but we don't check that)
}
double uA = ((l2p2x - l2p1x) * (-l2p1y) - (l2p2y - l2p1y) * (-l2p1x)) / denominator;
// System.out.println("uA is " + uA);
if ((uA < 0f) || (uA > 1f))
{
return null; // intersection outside line 1
}
double uB = (l1p2y * l2p1x - l1p2x * l2p1y) / denominator;
// System.out.println("uB is " + uB);
if (uB < 0 || uB > 1)
{
return null; // intersection outside line 2
}
return new OTSPoint3D(line1P1.x + uA * l1p2x, line1P1.y + uA * l1p2y, 0);
}
/**
* Compute the 2D intersection of two infinite lines. The Z-component of the lines is ignored. Both lines are defined by two
* points (that should be distinct). This version suffers loss of precision when called with very large coordinate values.
* @param line1P1 OTSPoint3D; first point of line 1
* @param line1P2 OTSPoint3D; second point of line 1
* @param line2P1 OTSPoint3D; first point of line 2
* @param line2P2 OTSPoint3D; second point of line 2
* @return OTSPoint3D; the intersection of the two lines, or null if the lines are (almost) parallel
*/
@Deprecated
public static OTSPoint3D intersectionOfLinesDumb(final OTSPoint3D line1P1, final OTSPoint3D line1P2,
final OTSPoint3D line2P1, final OTSPoint3D line2P2)
{
double determinant =
(line1P1.x - line1P2.x) * (line2P1.y - line2P2.y) - (line1P1.y - line1P2.y) * (line2P1.x - line2P2.x);
if (Math.abs(determinant) < 0.0000001)
{
return null;
}
return new OTSPoint3D(
((line1P1.x * line1P2.y - line1P1.y * line1P2.x) * (line2P1.x - line2P2.x)
- (line1P1.x - line1P2.x) * (line2P1.x * line2P2.y - line2P1.y * line2P2.x)) / determinant,
((line1P1.x * line1P2.y - line1P1.y * line1P2.x) * (line2P1.y - line2P2.y)
- (line1P1.y - line1P2.y) * (line2P1.x * line2P2.y - line2P1.y * line2P2.x)) / determinant);
}
/**
* Compute the 2D intersection of two infinite lines. The Z-component of the lines is ignored. Both lines are defined by two
* points (that should be distinct).
* @param line1P1 OTSPoint3D; first point of line 1
* @param line1P2 OTSPoint3D; second point of line 1
* @param line2P1 OTSPoint3D; first point of line 2
* @param line2P2 OTSPoint3D; second point of line 2
* @return OTSPoint3D; the intersection of the two lines, or null if the lines are (almost) parallel
*/
public static OTSPoint3D intersectionOfLines(final OTSPoint3D line1P1, final OTSPoint3D line1P2, final OTSPoint3D line2P1,
final OTSPoint3D line2P2)
{
double l1p1x = line1P1.x;
double l1p1y = line1P1.y;
double l1p2x = line1P2.x - l1p1x;
double l1p2y = line1P2.y - l1p1y;
double l2p1x = line2P1.x - l1p1x;
double l2p1y = line2P1.y - l1p1y;
double l2p2x = line2P2.x - l1p1x;
double l2p2y = line2P2.y - l1p1y;
double determinant = (0 - l1p2x) * (l2p1y - l2p2y) - (0 - l1p2y) * (l2p1x - l2p2x);
if (Math.abs(determinant) < 0.0000001)
{
return null;
}
return new OTSPoint3D(l1p1x + (l1p2x * (l2p1x * l2p2y - l2p1y * l2p2x)) / determinant,
l1p1y + (l1p2y * (l2p1x * l2p2y - l2p1y * l2p2x)) / determinant);
}
/**
* Project a point on a line segment (2D - Z-component is ignored). 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. <br>
* Adapted from <a href="http://paulbourke.net/geometry/pointlineplane/DistancePoint.java">example code provided by Paul
* Bourke</a>.
* @param segmentPoint1 OTSPoint3D; start of line segment
* @param segmentPoint2 OTSPoint3D; end of line segment
* @return Point2D.Double; either <cite>lineP1</cite>, or <cite>lineP2</cite> or a new OTSPoint3D that lies somewhere in
* between those two. The Z-component of the result matches the Z-component of the line segment at that point
*/
public final OTSPoint3D closestPointOnSegment(final OTSPoint3D segmentPoint1, final OTSPoint3D segmentPoint2)
{
double dX = segmentPoint2.x - segmentPoint1.x;
double dY = segmentPoint2.y - segmentPoint1.y;
if ((0 == dX) && (0 == dY))
{
return segmentPoint1;
}
final double u = ((this.x - segmentPoint1.x) * dX + (this.y - segmentPoint1.y) * dY) / (dX * dX + dY * dY);
if (u < 0)
{
return segmentPoint1;
}
else if (u > 1)
{
return segmentPoint2;
}
else
{
return interpolate(u, segmentPoint1, segmentPoint2);
}
}
/**
* Return the closest point on an OTSLine3D.
* @param line OTSLine3D; the line
* @param useHorizontalDistance boolean; if true; the horizontal distance is used to determine the closest point; if false;
* the 3D distance is used to determine the closest point
* @return OTSPoint3D; the Z component of the returned point matches the Z-component of the line at that point
*/
private OTSPoint3D internalClosestPointOnLine(final OTSLine3D line, final boolean useHorizontalDistance)
{
OTSPoint3D prevPoint = null;
double distance = Double.MAX_VALUE;
OTSPoint3D result = null;
for (OTSPoint3D nextPoint : line.getPoints())
{
if (null != prevPoint)
{
OTSPoint3D closest = closestPointOnSegment(prevPoint, nextPoint);
double thisDistance = useHorizontalDistance ? horizontalDistanceSI(closest) : distanceSI(closest);
if (thisDistance < distance)
{
result = closest;
distance = thisDistance;
}
}
prevPoint = nextPoint;
}
return result;
}
/**
* Return the closest point on an OTSLine3D. This method takes the Z-component of this point and the line into account.
* @param line OTSLine3D; the line
* @return OTSPoint3D; the Z-component of the returned point matches the Z-component of the line at that point
*/
public final OTSPoint3D closestPointOnLine(final OTSLine3D line)
{
return internalClosestPointOnLine(line, false);
}
/**
* Return the closest point on an OTSLine3D. This method ignores the Z-component of this point and the line when computing
* the distance.
* @param line OTSLine3D; the line
* @return OTSPoint3D; the Z-component of the returned point matches the Z-component of the line at that point
*/
public final OTSPoint3D closestPointOnLine2D(final OTSLine3D line)
{
return internalClosestPointOnLine(line, true);
}
/**
* Return the point with a length of 1 to the origin.
* @return OTSPoint3D; the normalized point
*/
public final OTSPoint3D normalize()
{
double length = Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z);
return this.translate(length);
}
/**
* Return this point translated by a factor from the origin.
* @param factor double; the translation factor
* @return OTSPoint3D; the translated point
*/
public final OTSPoint3D translate(final double factor)
{
return new OTSPoint3D(this.x / factor, this.y / factor, this.z / factor);
}
/**
* Return the possible center points of a circle when two points and a radius are given.
* @param point1 OTSPoint3D; the first point
* @param point2 OTSPoint3D; the second point
* @param radius double; the radius
* @return List<OTSPoint3D> a list of zero, one or two points
*/
public static final List<OTSPoint3D> circleCenter(final OTSPoint3D point1, final OTSPoint3D point2, final double radius)
{
List<OTSPoint3D> center = new ArrayList<>();
OTSPoint3D m = interpolate(0.5, point1, point2);
double h = point1.distanceSI(m);
if (radius < h) // no intersection
{
return center;
}
if (radius == h) // intersection at m
{
center.add(m);
return center;
}
OTSPoint3D p = new OTSPoint3D(point2.y - point1.y, point1.x - point2.x).normalize();
double d = Math.sqrt(radius * radius - h * h); // distance of center from m
center.add(new OTSPoint3D(m.x + d * p.x, m.y + d * p.y, m.z));
center.add(new OTSPoint3D(m.x - d * p.x, m.y - d * p.y, m.z));
return center;
}
/**
* Return the possible intersections between two circles.
* @param center1 OTSPoint3D; the center of circle 1
* @param radius1 double; the radius of circle 1
* @param center2 OTSPoint3D; the center of circle 2
* @param radius2 double; the radius of circle 2
* @return List<OTSPoint3D> a list of zero, one or two points
*/
public static final List<OTSPoint3D> circleIntersections(final OTSPoint3D center1, final double radius1,
final OTSPoint3D center2, final double radius2)
{
List<OTSPoint3D> center = new ArrayList<>();
OTSPoint3D m = interpolate(radius1 / (radius1 + radius2), center1, center2);
double h = center1.distanceSI(m);
if (radius1 < h) // no intersection
{
return center;
}
if (radius1 == h) // intersection at m
{
center.add(m);
return center;
}
OTSPoint3D p = new OTSPoint3D(center2.y - center1.y, center1.x - center2.x).normalize();
double d = Math.sqrt(radius1 * radius1 - h * h); // distance of center from m
center.add(new OTSPoint3D(m.x + d * p.x, m.y + d * p.y, m.z));
center.add(new OTSPoint3D(m.x - d * p.x, m.y - d * p.y, m.z));
return center;
}
/**
* @param point OTSPoint3D; the point to which the distance has to be calculated.
* @return the distance in 3D according to Pythagoras, expressed in the SI unit for length (meter)
*/
public final double distanceSI(final OTSPoint3D point)
{
double dx = point.x - this.x;
double dy = point.y - this.y;
double dz = point.z - this.z;
return Math.sqrt(dx * dx + dy * dy + dz * dz);
}
/**
* @param point OTSPoint3D; the point to which the distance has to be calculated.
* @return the distance in 3D according to Pythagoras, expressed in the SI unit for length (meter)
*/
public final double horizontalDistanceSI(final OTSPoint3D point)
{
double dx = point.x - this.x;
double dy = point.y - this.y;
return Math.sqrt(dx * dx + dy * dy);
}
/**
* @param point OTSPoint3D; the point to which the distance has to be calculated.
* @return the distance in 3D according to Pythagoras
*/
public final Length horizontalDistance(final OTSPoint3D point)
{
return new Length(horizontalDistanceSI(point), LengthUnit.SI);
}
/**
* @param point OTSPoint3D; the point to which the distance has to be calculated.
* @return the distance in 3D according to Pythagoras
*/
public final Length distance(final OTSPoint3D point)
{
return new Length(distanceSI(point), LengthUnit.SI);
}
/**
* @return the equivalent geotools Coordinate of this point.
*/
public final Coordinate getCoordinate()
{
return new Coordinate(this.x, this.y, this.z);
}
/**
* @return the equivalent DSOL DirectedPoint of this point. Should the result be cached?
*/
public final DirectedPoint getDirectedPoint()
{
return new DirectedPoint(this.x, this.y, this.z);
}
/**
* @return a Point2D with the x and y structure.
*/
public final Point2D getPoint2D()
{
return new Point2D.Double(this.x, this.y);
}
/** {@inheritDoc} */
@Override
public final DirectedPoint getLocation()
{
return getDirectedPoint();
}
/**
* This method returns a sphere with a diameter of half a meter as the default bounds for a point. {@inheritDoc}
*/
@Override
public final Bounds getBounds()
{
return new BoundingSphere(new Point3d(0.0, 0.0, 0.0), 0.5);
}
/** {@inheritDoc} */
@Override
@SuppressWarnings("checkstyle:designforextension")
public String toString()
{
return String.format("(%.3f,%.3f,%.3f)", this.x, this.y, this.z);
}
/** {@inheritDoc} */
@Override
@SuppressWarnings("checkstyle:designforextension")
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;
}
/** {@inheritDoc} */
@Override
@SuppressWarnings({"checkstyle:designforextension", "checkstyle:needbraces"})
public boolean equals(final Object obj)
{
if (this == obj)
return true;
if (obj == null)
return false;
if (getClass() != obj.getClass())
return false;
OTSPoint3D other = (OTSPoint3D) 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;
}
}