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/*
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* Geotools2 - OpenSource mapping toolkit
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* http://geotools.org
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* (C) 2002-2005, Geotools Project Managment Committee (PMC)
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation;
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* version 2.1 of the License.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*/
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package org.geotools.referencing.operation.projection; |
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// J2SE dependencies and extensions
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import java.awt.geom.Point2D; |
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import java.util.Collection; |
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import javax.units.SI; |
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import javax.units.NonSI; |
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import javax.units.Unit; |
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import org.geotools.metadata.iso.citation.CitationImpl; |
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import org.geotools.referencing.NamedIdentifier; |
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import org.geotools.resources.XMath; |
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import org.geotools.resources.cts.ResourceKeys; |
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import org.geotools.resources.cts.Resources; |
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import org.opengis.parameter.ParameterDescriptor; |
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import org.opengis.parameter.ParameterDescriptorGroup; |
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import org.opengis.parameter.ParameterNotFoundException; |
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import org.opengis.parameter.ParameterValueGroup; |
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import org.opengis.referencing.operation.ConicProjection; |
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import org.opengis.referencing.operation.MathTransform; |
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/**
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* Krovak Oblique Conformal Conic projection (EPSG code 9819). This projection is
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* used in the Czech Republic and Slovakia under the name 'Krovak' projection. The
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* geographic coordinates on the ellipsoid are first reduced to conformal
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* coordinates on the conformal (Gaussian) sphere. These spherical coordinates
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* are then projected onto the oblique cone and converted to grid coordinates.
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* The pseudo standard parallel is defined on the conformal sphere after its
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* rotation, to obtain the oblique aspect of the projection. It is then the
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* parallel on this sphere at which the map projection is true to scale; on
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* the ellipsoid it maps as a complex curve.
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*
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* <p>The compulsory parameters are just the ellipsoid characteristics.
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* All other parameters are optional and have defaults to match the common
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* usage with Krovak projection.</p>
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*
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* <p>In general the axis of Krovak projection are defined as westing and
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* southing (not easting and northing) and they are also reverted, so if the
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* value of projected coordinates should (and in <var>y</var>, <var>x</var>
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* order in Krovak) be positive the 'Axis' parameter for projection should be
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* defined explicitly like this (in wkt):</p>
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*
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* <pre>PROJCS["S-JTSK (Ferro) / Krovak",
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* .
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* .
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* .
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*
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* PROJECTION["Krovak"]
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* PARAMETER["semi_major", 6377397.155],
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* PARAMETER["semi_minor", 6356078.963],
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* UNIT["meter",1.0],
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* AXIS["x", WEST],
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* AXIS["y", SOUTH]]
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* </pre>Axis in Krovak:
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* <pre>
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* y<------------------+
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* |
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* Czech. Rep. |
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* |
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* x
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* </pre>
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* <p>By default, the axis are 'easting, northing' so the values of projected coordinates
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* are negative and in (and in <var>y</var>, <var>x</var> order in Krovak - it is cold
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* Krovak GIS version).</p>
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*
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* <p><strong>References:</strong>
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* <ul>
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* <li>Proj-4.4.7 available at <A HREF="http://www.remotesensing.org/proj">www.remotesensing.org/proj</A><br>
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* Relevant files is: {@code PJ_krovak.c}</li>
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* <li>"Coordinate Conversions and Transformations including Formulas" available at, <A
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* HREF="http://www.remotesensing.org/geotiff/proj_list/guid7.html">http://www.remotesensing.org/geotiff/proj_list/guid7.html</A></li>
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* </ul>
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* </p>
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*
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* @since 2.4
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* @version $Id: IdrKrovak.java 12357 2007-06-27 09:05:41Z dguerrero $
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* @source $URL: http://svn.geotools.org/geotools/tags/2.3.0/module/referencing/src/org/geotools/referencing/operation/projection/Krovak.java $
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* @author Jan Jezek
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* @author Martin Desruisseaux
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*
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* @see <A HREF="http://www.remotesensing.org/geotiff/proj_list/krovak.html">Krovak on
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* RemoteSensing.org </A>
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* @see <A HREF="http://www.remotesensing.org/geotiff/proj_list/guid7.html">Krovak on "Coordinate
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* Conversions and Transformations including Formulas"</A>
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*/
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public class IdrKrovak extends MapProjection { |
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/**
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* Maximum number of iterations for iterative computations.
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*/
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private static final int MAXIMUM_ITERATIONS = 15; |
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/**
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* When to stop the iteration.
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*/
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private static final double ITERATION_TOLERANCE = 1E-11; |
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/**
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* Azimuth of the centre line passing through the centre of the projection.
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* This is equals to the co-latitude of the cone axis at point of intersection
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* with the ellipsoid.
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*/
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protected final double azimuth; |
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/**
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* Latitude of pseudo standard parallel.
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*/
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protected final double pseudoStandardParallel; |
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/**
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* Useful variables calculated from parameters defined by user.
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*/
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private final double sinAzim, cosAzim, n, tanS2, alfa, hae, k1, ka, ro0, rop; |
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/**
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* Useful constant - 45 in radians.
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*/
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private static final double s45 = 0.785398163397448; |
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/**
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* Constructs a new map projection from the supplied parameters.
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*
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* @param parameters The parameter values in standard units.
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* @throws ParameterNotFoundException if a mandatory parameter is missing.
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*/
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protected IdrKrovak(final ParameterValueGroup parameters) throws ParameterNotFoundException { |
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super(parameters);
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final Collection expected = getParameterDescriptors().descriptors(); |
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// Fetch parameters from user input.
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latitudeOfOrigin = doubleValue(expected, Provider.LATITUDE_OF_CENTER, parameters);
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centralMeridian = doubleValue(expected, Provider.LONGITUDE_OF_CENTER, parameters);
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azimuth = doubleValue(expected, Provider.AZIMUTH, parameters);
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pseudoStandardParallel = doubleValue(expected, Provider.PSEUDO_STANDARD_PARALLEL, parameters);
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scaleFactor = doubleValue(expected, Provider.SCALE_FACTOR, parameters);
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ensureLatitudeInRange (Provider.LATITUDE_OF_CENTER, latitudeOfOrigin, false); |
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ensureLongitudeInRange(Provider.LONGITUDE_OF_CENTER, centralMeridian, false); |
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// Calculates useful constants.
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sinAzim = Math.sin(azimuth);
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cosAzim = Math.cos(azimuth);
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n = Math.sin(pseudoStandardParallel);
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tanS2 = Math.tan(pseudoStandardParallel / 2 + s45); |
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final double sinLat, cosLat, cosL2, u0; |
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sinLat = Math.sin(latitudeOfOrigin);
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cosLat = Math.cos(latitudeOfOrigin);
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cosL2 = cosLat * cosLat; |
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alfa = Math.sqrt(1 + ((excentricitySquared * (cosL2*cosL2)) / (1 - excentricitySquared))); |
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hae = alfa * excentricity / 2;
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u0 = Math.asin(sinLat / alfa);
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final double g, esl; |
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esl = excentricity * sinLat; |
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g = Math.pow((1 - esl) / (1 + esl), (alfa * excentricity) / 2); |
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k1 = Math.pow(Math.tan(latitudeOfOrigin/2 + s45), alfa) * g / Math.tan(u0/2 + s45); |
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ka = Math.pow(1 / k1, -1 / alfa); |
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final double radius; |
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radius = Math.sqrt(1 - excentricitySquared) / (1 - (excentricitySquared * (sinLat * sinLat))); |
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ro0 = scaleFactor * radius / Math.tan(pseudoStandardParallel);
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rop = ro0 * Math.pow(tanS2, n);
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} |
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/**
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* {@inheritDoc}
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*/
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public ParameterDescriptorGroup getParameterDescriptors() {
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return Provider.PARAMETERS; |
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} |
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/**
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* {@inheritDoc}
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*/
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public ParameterValueGroup getParameterValues() {
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final Collection expected = getParameterDescriptors().descriptors(); |
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final ParameterValueGroup values = super.getParameterValues(); |
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set(expected, Provider.LATITUDE_OF_CENTER, values, latitudeOfOrigin );
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set(expected, Provider.LONGITUDE_OF_CENTER, values, centralMeridian );
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set(expected, Provider.AZIMUTH, values, azimuth );
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set(expected, Provider.PSEUDO_STANDARD_PARALLEL, values, pseudoStandardParallel);
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set(expected, Provider.SCALE_FACTOR, values, scaleFactor );
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return values;
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} |
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/**
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* Transforms the specified (<var>λ</var>,<var>φ</var>) coordinates
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* (units in radians) and stores the result in {@code ptDst} (linear distance
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* on a unit sphere).
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*/
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protected Point2D transformNormalized(final double lambda, final double phi, Point2D ptDst) |
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throws ProjectionException
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{ |
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final double esp = excentricity * Math.sin(phi); |
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final double gfi = Math.pow(((1. - esp) / (1. + esp)), hae); |
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final double u = 2 * (Math.atan(Math.pow(Math.tan(phi/2 + s45), alfa) / k1 * gfi) - s45); |
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final double deltav = -lambda * alfa; |
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final double cosU = Math.cos(u); |
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final double s = Math.asin((cosAzim * Math.sin(u)) + (sinAzim * cosU * Math.cos(deltav))); |
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final double d = Math.asin(cosU * Math.sin(deltav) / Math.cos(s)); |
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final double eps = n * d; |
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final double ro = rop / Math.pow(Math.tan(s/2 + s45), n); |
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/* x and y are reverted */
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final double y = -(ro * Math.cos(eps)); |
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final double x = -(ro * Math.sin(eps)); |
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if (ptDst != null) { |
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ptDst.setLocation(x, y); |
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return ptDst;
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} |
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return new Point2D.Double(x, y); |
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} |
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/**
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* Transforms the specified (<var>x</var>,<var>y</var>) coordinate
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* and stores the result in {@code ptDst}.
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*/
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protected Point2D inverseTransformNormalized(final double x, final double y, Point2D ptDst) |
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throws ProjectionException
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{ |
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// x -> southing, y -> westing
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final double ro = XMath.hypot(x, y); |
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final double eps = Math.atan2(-x, -y); |
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final double d = eps / n; |
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final double s = 2 * (Math.atan(Math.pow(ro0/ro, 1/n) * tanS2) - s45); |
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final double cs = Math.cos(s); |
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final double u = Math.asin((cosAzim * Math.sin(s)) - (sinAzim * cs * Math.cos(d))); |
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final double kau = ka * Math.pow(Math.tan((u / 2.) + s45), 1 / alfa); |
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final double deltav = Math.asin((cs * Math.sin(d)) / Math.cos(u)); |
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final double lambda = -deltav / alfa; |
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double phi = 0; |
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double fi1 = u;
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// iteration calculation
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for (int i=MAXIMUM_ITERATIONS;;) { |
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fi1 = phi; |
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final double esf = excentricity * Math.sin(fi1); |
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phi = 2. * (Math.atan(kau * Math.pow((1. + esf) / (1. - esf), excentricity/2.)) - s45); |
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if (Math.abs(fi1 - phi) <= ITERATION_TOLERANCE) { |
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break;
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} |
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if (--i < 0) { |
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throw new ProjectionException(Resources.format(ResourceKeys.ERROR_NO_CONVERGENCE)); |
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} |
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} |
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if (ptDst != null) { |
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ptDst.setLocation(lambda, phi); |
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return ptDst;
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} |
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return new Point2D.Double(lambda, phi); |
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} |
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//////////////////////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////////////////////////
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//////// ////////
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//////// PROVIDER ////////
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//////// ////////
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//////////////////////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////////////////////////
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/**
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* The {@link org.geotools.referencing.operation.MathTransformProvider}
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* for an {@link IdrKrovak krovak} projection.
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*
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* @author jezekjan
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*
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* @see org.geotools.referencing.operation.DefaultMathTransformFactory
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*/
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public static class Provider extends AbstractProvider { |
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/**
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* The operation parameter descriptor for the {@linkPlain #latitudeOfOrigin
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* latitude of origin} parameter value. Valid values range is from -90 to 90.
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* Default value is 49.5.
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*/
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public static final ParameterDescriptor LATITUDE_OF_CENTER = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "latitude_of_center"), |
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new NamedIdentifier(CitationImpl.EPSG, "Latitude of projection center"), |
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new NamedIdentifier(CitationImpl.EPSG, "Latitude of projection centre"), |
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new NamedIdentifier(CitationImpl.GEOTIFF, "CenterLat") |
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}, 49.5, -90, 90, NonSI.DEGREE_ANGLE); |
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/**
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* The operation parameter descriptor for the {@linkPlain #centralMeridian central
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* meridian} parameter value. Valid values range is from -180 to 180. Default value
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* is 2450' (= 4250' from Ferro prime meridian).
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*/
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public static final ParameterDescriptor LONGITUDE_OF_CENTER = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "longitude_of_center"), |
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new NamedIdentifier(CitationImpl.EPSG, "Longitude of projection center"), |
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new NamedIdentifier(CitationImpl.EPSG, "Longitude of projection centre"), |
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new NamedIdentifier(CitationImpl.GEOTIFF, "CenterLong") |
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}, 42.5-17.66666666666667, -180, 180, NonSI.DEGREE_ANGLE); |
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/**
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* The operation parameter descriptor for the {@linkPlain #azimuth azimuth} parameter
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* value. Valid values range is from -90 to 90. Default value is 30.28813972222.
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*/
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public static final ParameterDescriptor AZIMUTH = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "azimuth"), |
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new NamedIdentifier(CitationImpl.EPSG, "Azimuth of the center line"), |
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new NamedIdentifier(CitationImpl.EPSG, "Azimuth of initial line"), |
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new NamedIdentifier(CitationImpl.GEOTIFF, "AzimuthAngle") |
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}, 30.28813972222222, 0, 360, NonSI.DEGREE_ANGLE); |
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|
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/**
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* The operation parameter descriptor for the pseudo {@linkplain #pseudoStandardParallel
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* pseudi standard parallel} parameter value. Valid values range is from -90 to 90.
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* Default value is 78.5.
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*/
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public static final ParameterDescriptor PSEUDO_STANDARD_PARALLEL = |
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createDescriptor(new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "pseudo_standard_parallel_1"), |
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new NamedIdentifier(CitationImpl.EPSG, "Latitude of Pseudo Standard Parallel") |
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}, 78.5, -90, 90, NonSI.DEGREE_ANGLE); |
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|
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/**
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* The operation parameter descriptor for the {@link #scaleFactor scaleFactor}
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* parameter value. Valid values range is from 0 to infinity. Default value is 1.
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*/
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public static final ParameterDescriptor SCALE_FACTOR = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "scale_factor"), |
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new NamedIdentifier(CitationImpl.EPSG, "Scale factor on the pseudo standard line"), |
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new NamedIdentifier(CitationImpl.EPSG, "Scale factor on pseudo standard parallel"), |
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new NamedIdentifier(CitationImpl.GEOTIFF, "ScaleAtCenter") |
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}, 0.9999, 0, Double.POSITIVE_INFINITY, Unit.ONE); |
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|
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/**
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* The operation parameter descriptor for the {@link #scaleFactor scaleFactor}
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* parameter value. Valid values range is from 0 to infinity. Default value is 1.
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*/
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public static final ParameterDescriptor FALSEEASTING = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.EPSG, "Easting at projection centre") |
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}, 0.0, Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, SI.METER); |
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|
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/**
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* The operation parameter descriptor for the {@link #scaleFactor scaleFactor}
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* parameter value. Valid values range is from 0 to infinity. Default value is 1.
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*/
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public static final ParameterDescriptor FALSENORTHING = createDescriptor( |
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new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.EPSG, "Northing at projection centre") |
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}, 0.0, Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, SI.METER); |
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|
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/**
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* The parameters group.
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*/
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static final ParameterDescriptorGroup PARAMETERS = createDescriptorGroup(new NamedIdentifier[] { |
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new NamedIdentifier(CitationImpl.OGC, "Krovak"), |
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new NamedIdentifier(CitationImpl.GEOTIFF, "Krovak"), |
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new NamedIdentifier(CitationImpl.EPSG, "Krovak Oblique Conformal Conic"), |
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new NamedIdentifier(CitationImpl.EPSG, "Krovak Oblique Conic Conformal"), |
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new NamedIdentifier(CitationImpl.EPSG, "9819"), |
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new NamedIdentifier(new CitationImpl("IDR"), "IDR") |
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}, |
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new ParameterDescriptor[] { |
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SEMI_MAJOR, SEMI_MINOR, LATITUDE_OF_CENTER, LONGITUDE_OF_CENTER, |
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AZIMUTH, PSEUDO_STANDARD_PARALLEL, SCALE_FACTOR, |
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FALSEEASTING, FALSENORTHING |
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}); |
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|
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/**
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* Constructs a new provider.
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*/
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public Provider() { |
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super(PARAMETERS);
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} |
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|
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/**
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* Returns the operation type for this map projection.
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*/
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protected Class getOperationType() { |
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return ConicProjection.class;
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} |
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|
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/**
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* Creates a transform from the specified group of parameter values.
|
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*
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* @param parameters The group of parameter values.
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* @return The created math transform.
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* @throws ParameterNotFoundException if a required parameter was not found.
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*/
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public MathTransform createMathTransform(final ParameterValueGroup parameters) |
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throws ParameterNotFoundException
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{ |
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return new IdrKrovak(parameters); |
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} |
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} |
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|
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/**
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* Returns a hash value for this projection.
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*/
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public int hashCode() { |
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final long code = Double.doubleToLongBits(azimuth) ^ |
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Double.doubleToLongBits(pseudoStandardParallel);
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return ((int)code ^ (int)(code >>> 32)) + 37*super.hashCode(); |
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} |
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|
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/**
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* Compares the specified object with this map projection for equality.
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*/
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public boolean equals(final Object object) { |
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if (object == this) { |
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// Slight optimization
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return true; |
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} |
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if (super.equals(object)) { |
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final IdrKrovak that = (IdrKrovak) object;
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return equals(azimuth, that.azimuth) &&
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equals(pseudoStandardParallel, that.pseudoStandardParallel); |
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} |
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return false; |
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} |
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} |