TransformWgs84DutchRdNew.java
package org.opentrafficsim.animation.gis;
import java.awt.geom.Point2D;
import java.awt.geom.Rectangle2D;
/**
* Convert geographical coordinates between WGS84 and the Dutch RD (Rijksdriehoek) system. <br>
* Specific MathTransform for WGS84 (EPSG:4326) to RD_new (EPSG:28992) conversions. Code based on C code by Peter Knoppers as
* applied <a href="https://www.regiolab-delft.nl/?q=node/36">here</a>, which is based on
* <a href="https://home.solcon.nl/pvanmanen/Download/Transformatieformules.pdf">this</a> paper.
* <p>
* Copyright (c) ~2000-2024 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved. <br>
* BSD-style license. See <a href="https://opentrafficsim.org/docs/license.html">OpenTrafficSim License</a>.
* </p>
* @author <a href="https://github.com/averbraeck">Alexander Verbraeck</a>
* @author <a href="https://github.com/peter-knoppers">Peter Knoppers</a>
* @author Gert-Jan Stolk
**/
public final class TransformWgs84DutchRdNew
{
/** Western boundary of the Dutch RD system. */
private static final double WGS84_WEST_LIMIT = 3.2;
/** Eastern boundary of the Dutch RD system. */
private static final double WGS84_EAST_LIMIT = 7.3;
/** Northern boundary of the Dutch RD system. */
private static final double WGS84_SOUTH_LIMIT = 50.6;
/** Southern boundary of the Dutch RD system. */
private static final double WGS84_NORTH_LIMIT = 53.7;
/** Western boundary of the Dutch RD system. */
private static final double RD_MINIMUM_X = 11000;
/** Eastern boundary of the Dutch RD system. */
private static final double RD_MAXIMUM_X = 280000;
/** Southern boundary of the Dutch RD system. */
private static final double RD_MINIMUM_Y = 300000;
/** Northern boundary of the Dutch RD system. */
private static final double RD_MAXIMUM_Y = 630000;
/** This class is a utility class and instances cannot be constructed. */
private TransformWgs84DutchRdNew()
{
// This class is a utility class and instances cannot be constructed.
}
/**
* Convert from WGS84 to RD coordinates.
* @param wgs84East Degrees East of Greenwich
* @param wgs84North Degrees North of the equator
* @return equivalent location in the Dutch RD system
*/
private static Point2D.Double ellipseWgs84ToRd(final double wgs84East, final double wgs84North)
{
if (wgs84North > WGS84_NORTH_LIMIT || wgs84North < WGS84_SOUTH_LIMIT || wgs84East < WGS84_WEST_LIMIT
|| (wgs84East > WGS84_EAST_LIMIT))
{
throw new IllegalArgumentException("ellipswgs842rd input out of range (" + wgs84East + ", " + wgs84North + ")");
}
//@formatter:off
@SuppressWarnings("checkstyle:nowhitespacebefore")
/** Coefficients for ellipsewgs842rd. */
final double[][] r =
{ /* p down, q right */
{ 155000.00, 190094.945, -0.008, -32.391, 0.0 , },
{ -0.705, -11832.228, 0.0 , 0.608, 0.0 , },
{ 0.0 , -114.221, 0.0 , 0.148, 0.0 , },
{ 0.0 , -2.340, 0.0 , 0.0 , 0.0 , },
{ 0.0 , 0.0 , 0.0 , 0.0 , 0.0 , }
};
@SuppressWarnings("checkstyle:nowhitespacebefore")
final double[][] s =
{ /* p down, q right */
{ 463000.00 , 0.433, 3638.893, 0.0 , 0.092, },
{ 309056.544, -0.032, -157.984, 0.0 , -0.054, },
{ 73.077, 0.0 , -6.439, 0.0 , 0.0 , },
{ 59.788, 0.0 , 0.0 , 0.0 , 0.0 , },
{ 0.0 , 0.0 , 0.0 , 0.0 , 0.0 , }
};
//@formatter:on
double resultX = 0;
double resultY = 0;
double powNorth = 1;
double dNorth = 0.36 * (wgs84North - 52.15517440);
double dEast = 0.36 * (wgs84East - 5.38720621);
for (int p = 0; p < 5; p++)
{
double powEast = 1;
for (int q = 0; q < 5; q++)
{
resultX += r[p][q] * powEast * powNorth;
resultY += s[p][q] * powEast * powNorth;
powEast *= dEast;
}
powNorth *= dNorth;
}
return new Point2D.Double(resultX, resultY);
}
/**
* Convert coordinates from WGS84 to the Dutch RD system.
* @param rdX X coordinate in the Dutch RD system
* @param rdY Y coordinate in the Dutch RD system
* @return equivalent location in the WGS84 system
* @throws IllegalArgumentException when the given coordinates are not within the area of the Dutch RD system
*/
private static Point2D rdToEllipseWgs84(final double rdX, final double rdY) throws IllegalArgumentException
{
if (rdX < RD_MINIMUM_X || rdX > RD_MAXIMUM_X || rdY < RD_MINIMUM_Y || rdY > RD_MAXIMUM_Y)
{
throw new IllegalArgumentException(
"Location (" + rdX + "," + rdY + ") is not within the range " + "of the Dutch RD system");
}
final double dX = (rdX - 155000) / 100000;
final double dY = (rdY - 463000) / 100000;
/* Coefficients are for zone 31 (0E .. 6E); roughly west of Apeldoorn */
//@formatter:off
@SuppressWarnings("checkstyle:nowhitespacebefore")
final double[][] k =
{ /* p down, q right */
{ 3600 * 52.15517440, 3235.65389, -0.24750, -0.06550, 0.0 , },
{ -0.00738 , -0.00012, 0.0 , 0.0 , 0.0 , },
{ -32.58297 , -0.84978, -0.01709, -0.00039, 0.0 , },
{ 0.0 , 0.0 , 0.0 , 0.0 , 0.0 , },
{ 0.00530 , 0.00033, 0.0 , 0.0 , 0.0 , },
{ 0.0 , 0.0 , 0.0 , 0.0 , 0.0 , }
};
@SuppressWarnings("checkstyle:nowhitespacebefore")
final double[][] l = { /* p down, q right */
{ 3600 * 5.38720621, 0.01199, 0.00022, 0.0 , 0.0 , },
{ 5260.52916 , 105.94684, 2.45656, 0.05594, 0.00128, },
{ -0.00022 , 0.0 , 0.0 , 0.0 , 0.0 , },
{ -0.81885 , -0.05607, -0.00256, 0.0 , 0.0 , },
{ 0.0 , 0.0 , 0.0 , 0.0 , 0.0 , },
{ 0.00026 , 0.0 , 0.0 , 0.0 , 0.0 , }
};
//@formatter:on
double resultNorth = 0;
double resultEast = 0;
double powX = 1;
for (int p = 0; p < 6; p++)
{
double powY = 1;
for (int q = 0; q < 5; q++)
{
resultNorth += k[p][q] * powX * powY / 3600;
resultEast += l[p][q] * powX * powY / 3600;
powY *= dY;
}
powX *= dX;
}
return new Point2D.Double(resultEast, resultNorth);
}
/**
* Convert a coordinate pair in the local system to WGS84 coordinates.
* @param local coordinates in the local system.
* @return the equivalent location in degrees in the WGS84 coordinate system
* @throws IllegalArgumentException when <cite>local</cite> is not valid in the local system
*/
public static Point2D toWgs84(final Point2D local) throws IllegalArgumentException
{
return toWgs84(local.getX(), local.getY());
}
/**
* Convert a coordinate pair in the local system to WGS84 coordinates.
* @param localX X-coordinate in the local system
* @param localY Y-coordinate in the local system
* @return the equivalent location in degrees in the WGS84 coordinate system
* @throws IllegalArgumentException when <cite>localX</cite>, <cite>localY</cite> is not valid in the local system
*/
public static Point2D toWgs84(final double localX, final double localY) throws IllegalArgumentException
{
return rdToEllipseWgs84(localX, localY);
}
/**
* Convert a coordinate pair in WGS84 coordinates to local coordinates.
* @param wgs84 coordinates in degrees in the WGS84 coordinate system
* @return the equivalent location in the local coordinate system
* @throws IllegalArgumentException when <cite>wgs84</cite> is not valid in the local system
*/
public static Point2D fromWgs84(final Point2D wgs84) throws IllegalArgumentException
{
return fromWgs84(wgs84.getX(), wgs84.getY());
}
/**
* Convert a coordinate pair in WGS84 coordinates to local coordinates.
* @param wgs84East East coordinate in degrees in the WGS84 system (negative value indicates West)
* @param wgs84North North coordinate in degrees in the WGS84 system (negative value indicates South)
* @return the equivalent location in the local coordinate system
* @throws IllegalArgumentException when <cite>wgs84</cite> is not valid in the local system
*/
public static Point2D fromWgs84(final double wgs84East, final double wgs84North) throws IllegalArgumentException
{
return ellipseWgs84ToRd(wgs84East, wgs84North);
}
/**
* Report the bounding box for conversion to the local coordinate system.<br>
* Conversions from WGS84 to the local coordinate system should fail for locations outside this bounding box. If the valid
* range is not adequately described by a rectangular bounding box, conversions for some areas within this bounding box may
* also fail (with an IllegalArgumentException). There is no guarantee that the result of a conversion lies within the
* bounding box for the reverse conversion.
* @return bounding box in WGS84 degrees
*/
public static Rectangle2D fromWgs84Bounds()
{
return new Rectangle2D.Double(WGS84_WEST_LIMIT, WGS84_SOUTH_LIMIT, WGS84_EAST_LIMIT - WGS84_WEST_LIMIT,
WGS84_NORTH_LIMIT - WGS84_SOUTH_LIMIT);
}
/**
* Report the bounding box for conversions from the local coordinate system. <br>
* Conversions from the local coordinate system to WGS84 should fail for locations outside this bounding box. If the valid
* range is not adequately described by a rectangular bounding box, conversions for some areas within this bounding box may
* also fail (with an IllegalArgumentException). There is no guarantee that the result of a conversion lies within the
* bounding box for the reverse conversion.
* @return bounding box of the local coordinate system
*/
public static Rectangle2D toWgs84Bounds()
{
return new Rectangle2D.Double(RD_MINIMUM_X, RD_MINIMUM_Y, RD_MAXIMUM_X - RD_MINIMUM_X, RD_MAXIMUM_Y - RD_MINIMUM_Y);
}
}