1 | /*
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2 | * GeoTools - The Open Source Java GIS Toolkit
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3 | * http://geotools.org
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4 | *
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5 | * (C) 1999-2008, Open Source Geospatial Foundation (OSGeo)
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6 | *
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7 | * This library is free software; you can redistribute it and/or
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8 | * modify it under the terms of the GNU Lesser General Public
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9 | * License as published by the Free Software Foundation;
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10 | * version 2.1 of the License.
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11 | *
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12 | * This library is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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15 | * Lesser General Public License for more details.
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16 | *
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17 | * This package contains formulas from the PROJ package of USGS.
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18 | * USGS's work is fully acknowledged here. This derived work has
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19 | * been relicensed under LGPL with Frank Warmerdam's permission.
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20 | */
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21 | package org.geotools.referencing.operation.projection;
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22 |
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23 | import java.awt.geom.Point2D;
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24 | import java.io.Serializable;
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25 | import java.util.Collection;
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26 | import java.util.logging.Level;
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27 | import java.util.logging.Logger;
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28 | import java.util.logging.LogRecord;
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29 |
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30 | import javax.measure.unit.NonSI;
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31 | import javax.measure.unit.SI;
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32 | import javax.measure.unit.Unit;
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33 |
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34 | import org.opengis.parameter.InvalidParameterValueException;
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35 | import org.opengis.parameter.GeneralParameterDescriptor;
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36 | import org.opengis.parameter.ParameterDescriptor;
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37 | import org.opengis.parameter.ParameterDescriptorGroup;
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38 | import org.opengis.parameter.ParameterNotFoundException;
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39 | import org.opengis.parameter.ParameterValueGroup;
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40 | import org.opengis.referencing.operation.MathTransform2D;
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41 | import org.opengis.referencing.operation.NoninvertibleTransformException;
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42 | import org.opengis.referencing.operation.Projection;
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43 | import org.opengis.referencing.operation.TransformException;
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44 |
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45 | import org.geotools.math.XMath;
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46 | import org.geotools.measure.Latitude;
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47 | import org.geotools.measure.Longitude;
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48 | import org.geotools.metadata.iso.citation.Citations;
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49 | import org.geotools.referencing.NamedIdentifier;
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50 | import org.geotools.referencing.operation.MathTransformProvider;
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51 | import org.geotools.referencing.operation.transform.AbstractMathTransform;
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52 | import org.geotools.resources.i18n.Errors;
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53 | import org.geotools.resources.i18n.ErrorKeys;
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54 | import org.geotools.util.Utilities;
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55 | import org.geotools.util.logging.Logging;
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56 |
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57 | import static java.lang.Math.*;
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58 |
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59 |
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60 | /**
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61 | * Base class for transformation services between ellipsoidal and cartographic projections.
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62 | * This base class provides the basic feature needed for all methods (no need to overrides
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63 | * methods). Subclasses must "only" implements the following methods:
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64 | * <ul>
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65 | * <li>{@link #getParameterValues}</li>
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66 | * <li>{@link #transformNormalized}</li>
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67 | * <li>{@link #inverseTransformNormalized}</li>
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68 | * </ul>
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69 | * <p>
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70 | * <strong>NOTE:</strong>Serialization of this class is appropriate for short-term storage
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71 | * or RMI use, but will probably not be compatible with future version. For long term storage,
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72 | * WKT (Well Know Text) or XML (not yet implemented) are more appropriate.
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73 | *
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74 | * @since 2.0
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75 | * @version $Id: MapProjection.java 37299 2011-05-25 05:21:24Z mbedward $
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76 | *
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77 | * @source $URL: http://svn.osgeo.org/geotools/branches/2.7.x/modules/library/referencing/src/main/java/org/geotools/referencing/operation/projection/MapProjection.java $
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78 | * @author André Gosselin
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79 | * @author Martin Desruisseaux (PMO, IRD)
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80 | * @author Rueben Schulz
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81 | *
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82 | * @see <A HREF="http://mathworld.wolfram.com/MapProjection.html">Map projections on MathWorld</A>
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83 | * @see <A HREF="http://atlas.gc.ca/site/english/learningresources/carto_corner/map_projections.html">Map projections on the atlas of Canada</A>
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84 | * @tutorial http://www.geotools.org/display/GEOTOOLS/How+to+add+new+projections
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85 | */
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86 | public abstract class MapProjection extends AbstractMathTransform
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87 | implements MathTransform2D, Serializable
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88 | {
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89 | /**
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90 | * For cross-version compatibility.
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91 | */
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92 | private static final long serialVersionUID = -406751619777246914L;
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93 |
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94 | /**
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95 | * The projection package logger
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96 | */
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97 | protected static final Logger LOGGER = Logging.getLogger(MapProjection.class);
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98 |
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99 | /**
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100 | * Maximum difference allowed when comparing real numbers.
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101 | * This field is private because subclasses may use different threshold value.
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102 | */
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103 | private static final double EPSILON = 1E-6;
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104 |
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105 | /**
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106 | * Maximum difference allowed when comparing longitudes or latitudes in degrees.
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107 | * This tolerance do not apply to angle in radians. A tolerance of 1E-4 is about
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108 | * 10 kilometers.
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109 | */
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110 | private static final double ANGLE_TOLERANCE = 1E-4;
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111 |
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112 | /**
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113 | * Difference allowed in iterative computations.
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114 | */
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115 | private static final double ITERATION_TOLERANCE = 1E-10;
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116 |
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117 | /**
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118 | * Relative iteration precision used in the <code>mlfn<code> method
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119 | */
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120 | private static final double MLFN_TOL = 1E-11;
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121 |
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122 |
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123 | /**
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124 | * Maximum number of iterations for iterative computations.
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125 | */
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126 | private static final int MAXIMUM_ITERATIONS = 15;
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127 |
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128 | /**
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129 | * Constants used to calculate {@link #en0}, {@link #en1},
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130 | * {@link #en2}, {@link #en3}, {@link #en4}.
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131 | */
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132 | private static final double C00= 1.0,
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133 | C02= 0.25,
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134 | C04= 0.046875,
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135 | C06= 0.01953125,
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136 | C08= 0.01068115234375,
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137 | C22= 0.75,
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138 | C44= 0.46875,
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139 | C46= 0.01302083333333333333,
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140 | C48= 0.00712076822916666666,
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141 | C66= 0.36458333333333333333,
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142 | C68= 0.00569661458333333333,
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143 | C88= 0.3076171875;
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144 |
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145 | /**
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146 | * Ellipsoid excentricity, equals to <code>sqrt({@link #excentricitySquared})</code>.
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147 | * Value 0 means that the ellipsoid is spherical.
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148 | *
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149 | * @see #excentricitySquared
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150 | * @see #isSpherical
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151 | */
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152 | protected final double excentricity;
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153 |
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154 | /**
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155 | * The square of excentricity: e² = (a²-b²)/a² where
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156 | * <var>e</var> is the {@linkplain #excentricity excentricity},
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157 | * <var>a</var> is the {@linkplain #semiMajor semi major} axis length and
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158 | * <var>b</var> is the {@linkplain #semiMinor semi minor} axis length.
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159 | *
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160 | * @see #excentricity
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161 | * @see #semiMajor
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162 | * @see #semiMinor
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163 | * @see #isSpherical
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164 | */
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165 | protected final double excentricitySquared;
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166 |
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167 | /**
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168 | * {@code true} if this projection is spherical. Spherical model has identical
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169 | * {@linkplain #semiMajor semi major} and {@linkplain #semiMinor semi minor} axis
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170 | * length, and an {@linkplain #excentricity excentricity} zero.
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171 | *
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172 | * @see #excentricity
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173 | * @see #semiMajor
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174 | * @see #semiMinor
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175 | */
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176 | protected final boolean isSpherical;
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177 |
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178 | /**
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179 | * Length of semi-major axis, in metres. This is named '<var>a</var>' or '<var>R</var>'
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180 | * (Radius in spherical cases) in Snyder.
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181 | *
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182 | * @see #excentricity
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183 | * @see #semiMinor
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184 | */
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185 | protected final double semiMajor;
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186 |
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187 | /**
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188 | * Length of semi-minor axis, in metres. This is named '<var>b</var>' in Snyder.
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189 | *
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190 | * @see #excentricity
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191 | * @see #semiMajor
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192 | */
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193 | protected final double semiMinor;
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194 |
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195 | /**
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196 | * Central longitude in <u>radians</u>. Default value is 0, the Greenwich meridian.
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197 | * This is called '<var>lambda0</var>' in Snyder.
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198 | * <p>
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199 | * <strong>Consider this field as final</strong>. It is not final only
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200 | * because some classes need to modify it at construction time.
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201 | */
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202 | protected double centralMeridian;
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203 |
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204 | /**
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205 | * Latitude of origin in <u>radians</u>. Default value is 0, the equator.
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206 | * This is called '<var>phi0</var>' in Snyder.
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207 | * <p>
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208 | * <strong>Consider this field as final</strong>. It is not final only
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209 | * because some classes need to modify it at construction time.
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210 | */
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211 | protected double latitudeOfOrigin;
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212 |
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213 | /**
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214 | * The scale factor. Default value is 1. Named '<var>k</var>' in Snyder.
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215 | * <p>
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216 | * <strong>Consider this field as final</strong>. It is not final only
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217 | * because some classes need to modify it at construction time.
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218 | */
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219 | protected double scaleFactor;
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220 |
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221 | /**
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222 | * False easting, in metres. Default value is 0.
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223 | */
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224 | protected final double falseEasting;
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225 |
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226 | /**
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227 | * False northing, in metres. Default value is 0.
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228 | */
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229 | protected final double falseNorthing;
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230 |
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231 | /**
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232 | * Global scale factor. Default value {@code globalScale} is equal
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233 | * to {@link #semiMajor}×{@link #scaleFactor}.
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234 | * <p>
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235 | * <strong>Consider this field as final</strong>. It is not final only
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236 | * because some classes need to modify it at construction time.
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237 | */
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238 | protected double globalScale;
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239 |
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240 | /**
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241 | * The inverse of this map projection. Will be created only when needed.
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242 | */
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243 | private transient MathTransform2D inverse;
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244 |
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245 | /**
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246 | * Constant needed for the <code>mlfn<code> method.
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247 | * Setup at construction time.
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248 | */
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249 | protected double en0,en1,en2,en3,en4;
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250 |
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251 | /**
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252 | * When different than {@link #globalRangeCheckSemaphore}, coordinate ranges will be
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253 | * checked and a {@code WARNING} log will be issued if they are out of their natural
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254 | * ranges (-180/180° for longitude, -90/90° for latitude).
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255 | *
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256 | * @see #verifyCoordinateRanges()
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257 | * @see #warningLogged()
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258 | */
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259 | private transient int rangeCheckSemaphore;
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260 |
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261 | /**
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262 | * The value to be checked against {@link #rangeCheckSemaphore} in order to determine
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263 | * if coordinates ranges should be checked.
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264 | */
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265 | private static int globalRangeCheckSemaphore = 1;
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266 |
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267 | /**
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268 | * Marks if the projection is invertible. The vast majority is, subclasses can override.
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269 | */
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270 | protected boolean invertible = true;
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271 |
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272 | /**
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273 | * Constructs a new map projection from the suplied parameters.
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274 | *
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275 | * @param values The parameter values in standard units.
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276 | * The following parameter are recognized:
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277 | * <ul>
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278 | * <li>"semi_major" (mandatory: no default)</li>
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279 | * <li>"semi_minor" (mandatory: no default)</li>
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280 | * <li>"central_meridian" (default to 0°)</li>
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281 | * <li>"latitude_of_origin" (default to 0°)</li>
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282 | * <li>"scale_factor" (default to 1 )</li>
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283 | * <li>"false_easting" (default to 0 )</li>
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284 | * <li>"false_northing" (default to 0 )</li>
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285 | * </ul>
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286 | * @throws ParameterNotFoundException if a mandatory parameter is missing.
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287 | */
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288 | protected MapProjection(final ParameterValueGroup values) throws ParameterNotFoundException {
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289 | this(values, null);
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290 | }
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291 |
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292 | /**
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293 | * Constructor invoked by sub-classes when we can't rely on {@link #getParameterDescriptors}
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294 | * before the construction is completed. This is the case when the later method depends on
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295 | * the value of some class's attribute, which has not yet been set. An example is
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296 | * {@link ObliqueMercator#getParameterDescriptors}.
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297 | * <p>
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298 | * This method is not public because it is not a very elegant hack, and a work around exists.
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299 | * For example {@code ObliqueMercator} two-points case could be implemented by as a separated
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300 | * classes, in which case {@link #getParameterDescriptors} returns a constant and can be safely
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301 | * invoked in a constructor.
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302 | */
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303 | MapProjection(final ParameterValueGroup values, Collection<GeneralParameterDescriptor> expected)
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304 | throws ParameterNotFoundException
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305 | {
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306 | if (expected == null) {
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307 | expected = getParameterDescriptors().descriptors();
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308 | }
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309 | semiMajor = doubleValue(expected, AbstractProvider.SEMI_MAJOR, values);
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310 | semiMinor = doubleValue(expected, AbstractProvider.SEMI_MINOR, values);
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311 | centralMeridian = doubleValue(expected, AbstractProvider.CENTRAL_MERIDIAN, values);
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312 | latitudeOfOrigin = doubleValue(expected, AbstractProvider.LATITUDE_OF_ORIGIN, values);
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313 | scaleFactor = doubleValue(expected, AbstractProvider.SCALE_FACTOR, values);
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314 | falseEasting = doubleValue(expected, AbstractProvider.FALSE_EASTING, values);
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315 | falseNorthing = doubleValue(expected, AbstractProvider.FALSE_NORTHING, values);
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316 | isSpherical = (semiMajor == semiMinor);
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317 | excentricitySquared = 1.0 - (semiMinor * semiMinor) / (semiMajor * semiMajor);
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318 | excentricity = sqrt(excentricitySquared);
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319 | globalScale = scaleFactor * semiMajor;
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320 | ensureLongitudeInRange(AbstractProvider.CENTRAL_MERIDIAN, centralMeridian, true);
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321 | ensureLatitudeInRange (AbstractProvider.LATITUDE_OF_ORIGIN, latitudeOfOrigin, true);
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322 |
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323 | // Compute constants for the mlfn
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324 | double t;
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325 | en0 = C00 - excentricitySquared * (C02 + excentricitySquared *
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326 | (C04 + excentricitySquared * (C06 + excentricitySquared * C08)));
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327 | en1 = excentricitySquared * (C22 - excentricitySquared *
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328 | (C04 + excentricitySquared * (C06 + excentricitySquared * C08)));
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329 | en2 = (t = excentricitySquared * excentricitySquared) *
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330 | (C44 - excentricitySquared * (C46 + excentricitySquared * C48));
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331 | en3 = (t *= excentricitySquared) * (C66 - excentricitySquared * C68);
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332 | en4 = t * excentricitySquared * C88;
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333 | }
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334 |
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335 | /**
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336 | * Returns {@code true} if the specified parameter can apply to this map projection.
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337 | * The set of expected parameters must be supplied. The default implementation just
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338 | * invokes {@code expected.contains(param)}. Some subclasses will override this method
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339 | * in order to handle {@link ModifiedParameterDescriptor} in a special way.
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340 | *
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341 | * @see #doubleValue
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342 | * @see #set
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343 | */
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344 | boolean isExpectedParameter(final Collection<GeneralParameterDescriptor> expected,
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345 | final ParameterDescriptor param)
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346 | {
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347 | return expected.contains(param);
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348 | }
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349 |
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350 | /**
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351 | * Returns the parameter value for the specified operation parameter. Values are
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352 | * automatically converted into the standard units specified by the supplied
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353 | * {@code param} argument, except {@link NonSI#DEGREE_ANGLE degrees} which
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354 | * are converted to {@link SI#RADIAN radians}.
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355 | *
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356 | * @param expected The value returned by {@code getParameterDescriptors().descriptors()}.
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357 | * @param param The parameter to look for.
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358 | * @param group The parameter value group to search into.
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359 | * @return The requested parameter value, or {@code NaN} if {@code param} is
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360 | * {@linkplain MathTransformProvider#createOptionalDescriptor optional}
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361 | * and the user didn't provided any value.
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362 | * @throws ParameterNotFoundException if the parameter is not found.
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363 | *
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364 | * @see MathTransformProvider#doubleValue
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365 | */
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366 | final double doubleValue(final Collection<GeneralParameterDescriptor> expected,
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367 | final ParameterDescriptor param,
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368 | final ParameterValueGroup group)
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369 | throws ParameterNotFoundException
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370 | {
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371 | if (isExpectedParameter(expected, param)) {
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372 | /*
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373 | * Gets the value supplied by the user. The conversion from decimal
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374 | * degrees to radians (if needed) is performed by AbstractProvider.
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375 | */
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376 | return AbstractProvider.doubleValue(param, group);
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377 | }
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378 | /*
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379 | * The constructor asked for a parameter value that do not apply to the type of the
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380 | * projection to be created. Returns a default value common to all projection types,
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381 | * but this value should not be used in projection computations.
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382 | */
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383 | double v;
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384 | final Object value = param.getDefaultValue();
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385 | if (value instanceof Number) {
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386 | v = ((Number) value).doubleValue();
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387 | if (NonSI.DEGREE_ANGLE.equals(param.getUnit())) {
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388 | v = toRadians(v);
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389 | }
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390 | } else {
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391 | v = Double.NaN;
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392 | }
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393 | return v;
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394 | }
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395 |
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396 | /**
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397 | * Ensures that this projection has equals semi-major and semi-minor axis. This method is
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398 | * invoked by constructors of classes implementing only spherical formulas.
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399 | */
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400 | final void ensureSpherical() throws IllegalArgumentException {
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401 | if (!isSpherical) {
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402 | throw new IllegalArgumentException(Errors.format(ErrorKeys.ELLIPTICAL_NOT_SUPPORTED));
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403 | }
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404 | }
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405 |
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406 | /**
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407 | * Ensures that the latitude is within allowed limits (±π/2).
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408 | * This method is useful to check the validity of projection parameters,
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409 | * like {@link #latitudeOfOrigin}.
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410 | *
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411 | * @param y Latitude to check, in radians.
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412 | * @param edge {@code true} to accept latitudes of ±π/2.
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413 | * @throws IllegalArgumentException if the latitude is out of range.
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414 | */
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415 | static void ensureLatitudeInRange(final ParameterDescriptor name, double y, final boolean edge)
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416 | throws IllegalArgumentException
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417 | {
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418 | if (edge ? (y >= Latitude.MIN_VALUE * PI/180 && y <= Latitude.MAX_VALUE * PI/180) :
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419 | (y > Latitude.MIN_VALUE * PI/180 && y < Latitude.MAX_VALUE * PI/180))
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420 | {
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421 | return;
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422 | }
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423 | y = toDegrees(y);
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424 | throw new InvalidParameterValueException(Errors.format(ErrorKeys.LATITUDE_OUT_OF_RANGE_$1,
|
---|
425 | new Latitude(y)), name.getName().getCode(), y);
|
---|
426 | }
|
---|
427 |
|
---|
428 | /**
|
---|
429 | * Ensures that the longitue is within allowed limits (±π).
|
---|
430 | * This method is used to check the validity of projection parameters,
|
---|
431 | * like {@link #centralMeridian}.
|
---|
432 | *
|
---|
433 | * @param x Longitude to verify, in radians.
|
---|
434 | * @param edge {@code true} for accepting longitudes of ±π.
|
---|
435 | * @throws IllegalArgumentException if the longitude is out of range.
|
---|
436 | */
|
---|
437 | static void ensureLongitudeInRange(final ParameterDescriptor name, double x, final boolean edge)
|
---|
438 | throws IllegalArgumentException
|
---|
439 | {
|
---|
440 | if (edge ? (x >= Longitude.MIN_VALUE * PI/180 && x <= Longitude.MAX_VALUE * PI/180) :
|
---|
441 | (x > Longitude.MIN_VALUE * PI/180 && x < Longitude.MAX_VALUE * PI/180))
|
---|
442 | {
|
---|
443 | return;
|
---|
444 | }
|
---|
445 | x = toDegrees(x);
|
---|
446 | throw new InvalidParameterValueException(Errors.format(ErrorKeys.LONGITUDE_OUT_OF_RANGE_$1,
|
---|
447 | new Longitude(x)), name.getName().getCode(), x);
|
---|
448 | }
|
---|
449 |
|
---|
450 | /**
|
---|
451 | * Verifies if the given coordinates are in the range of geographic coordinates. If they are
|
---|
452 | * not, then this method logs a warning and returns {@code true}. Otherwise this method does
|
---|
453 | * nothing and returns {@code false}.
|
---|
454 | *
|
---|
455 | * @param tr The caller.
|
---|
456 | * @param x The longitude in decimal degrees.
|
---|
457 | * @param y The latitude in decimal degrees.
|
---|
458 | * @return {@code true} if the coordinates are not in the geographic range, in which case
|
---|
459 | * a warning has been logged.
|
---|
460 | */
|
---|
461 | private static boolean verifyGeographicRanges(final AbstractMathTransform tr,
|
---|
462 | final double x, final double y)
|
---|
463 | {
|
---|
464 | // Note: the following tests should not fails for NaN values.
|
---|
465 | final boolean xOut, yOut;
|
---|
466 | xOut = (x < (Longitude.MIN_VALUE - ANGLE_TOLERANCE) || x > (Longitude.MAX_VALUE + ANGLE_TOLERANCE));
|
---|
467 | yOut = (y < (Latitude .MIN_VALUE - ANGLE_TOLERANCE) || y > (Latitude .MAX_VALUE + ANGLE_TOLERANCE));
|
---|
468 | if (!xOut && !yOut) {
|
---|
469 | return false;
|
---|
470 | }
|
---|
471 | final String lineSeparator = System.getProperty("line.separator", "\n");
|
---|
472 | final StringBuilder buffer = new StringBuilder();
|
---|
473 | buffer.append(Errors.format(ErrorKeys.OUT_OF_PROJECTION_VALID_AREA_$1, tr.getName()));
|
---|
474 | if (xOut) {
|
---|
475 | buffer.append(lineSeparator);
|
---|
476 | buffer.append(Errors.format(ErrorKeys.LONGITUDE_OUT_OF_RANGE_$1, new Longitude(x)));
|
---|
477 | }
|
---|
478 | if (yOut) {
|
---|
479 | buffer.append(lineSeparator);
|
---|
480 | buffer.append(Errors.format(ErrorKeys.LATITUDE_OUT_OF_RANGE_$1, new Latitude(y)));
|
---|
481 | }
|
---|
482 | final LogRecord record = new LogRecord(Level.WARNING, buffer.toString());
|
---|
483 | final String classe;
|
---|
484 | if (tr instanceof Inverse) {
|
---|
485 | classe = ((Inverse) tr).inverse().getClass().getName() + ".Inverse";
|
---|
486 | } else {
|
---|
487 | classe = tr.getClass().getName();
|
---|
488 | }
|
---|
489 | record.setSourceClassName(classe);
|
---|
490 | record.setSourceMethodName("transform");
|
---|
491 | record.setLoggerName(LOGGER.getName());
|
---|
492 | LOGGER.log(record);
|
---|
493 | return true;
|
---|
494 | }
|
---|
495 |
|
---|
496 | /**
|
---|
497 | * Sets the value in a parameter group. This convenience method is used
|
---|
498 | * by subclasses for {@link #getParameterValues} implementation. Values
|
---|
499 | * are automatically converted from radians to decimal degrees if needed.
|
---|
500 | *
|
---|
501 | * @param expected The value returned by {@code getParameterDescriptors().descriptors()}.
|
---|
502 | * @param param One of the {@link AbstractProvider} constants.
|
---|
503 | * @param group The group in which to set the value.
|
---|
504 | * @param value The value to set.
|
---|
505 | */
|
---|
506 | final void set(final Collection<GeneralParameterDescriptor> expected,
|
---|
507 | final ParameterDescriptor<?> param,
|
---|
508 | final ParameterValueGroup group,
|
---|
509 | double value)
|
---|
510 | {
|
---|
511 | if (isExpectedParameter(expected, param)) {
|
---|
512 | if (NonSI.DEGREE_ANGLE.equals(param.getUnit())) {
|
---|
513 | /*
|
---|
514 | * Converts radians to degrees and try to fix rounding error
|
---|
515 | * (e.g. -61.500000000000014 --> -61.5). This is necessary
|
---|
516 | * in order to avoid a bias when formatting a transform and
|
---|
517 | * parsing it again.
|
---|
518 | */
|
---|
519 | value = toDegrees(value);
|
---|
520 | double old = value;
|
---|
521 | value = XMath.trimDecimalFractionDigits(value, 4, 12);
|
---|
522 | if (value == old) {
|
---|
523 | /*
|
---|
524 | * The attempt to fix rounding error failed. Try again with the
|
---|
525 | * assumption that the true value is a multiple of 1/3 of angle
|
---|
526 | * (e.g. 51.166666666666664 --> 51.166666666666666), which is
|
---|
527 | * common in the EPSG database.
|
---|
528 | */
|
---|
529 | old *= 3;
|
---|
530 | final double test = XMath.trimDecimalFractionDigits(old, 4, 12);
|
---|
531 | if (test != old) {
|
---|
532 | value = test/3;
|
---|
533 | }
|
---|
534 | }
|
---|
535 | }
|
---|
536 | group.parameter(param.getName().getCode()).setValue(value);
|
---|
537 | }
|
---|
538 | }
|
---|
539 |
|
---|
540 | /**
|
---|
541 | * Returns the parameter descriptors for this map projection.
|
---|
542 | * This is used for a providing a default implementation of
|
---|
543 | * {@link #getParameterValues}, as well as arguments checking.
|
---|
544 | */
|
---|
545 | @Override
|
---|
546 | public abstract ParameterDescriptorGroup getParameterDescriptors();
|
---|
547 |
|
---|
548 | /**
|
---|
549 | * Returns the parameter values for this map projection.
|
---|
550 | *
|
---|
551 | * @return A copy of the parameter values for this map projection.
|
---|
552 | */
|
---|
553 | @Override
|
---|
554 | public ParameterValueGroup getParameterValues() {
|
---|
555 | final ParameterDescriptorGroup descriptor = getParameterDescriptors();
|
---|
556 | final Collection<GeneralParameterDescriptor> expected = descriptor.descriptors();
|
---|
557 | final ParameterValueGroup values = descriptor.createValue();
|
---|
558 | set(expected, AbstractProvider.SEMI_MAJOR, values, semiMajor );
|
---|
559 | set(expected, AbstractProvider.SEMI_MINOR, values, semiMinor );
|
---|
560 | set(expected, AbstractProvider.CENTRAL_MERIDIAN, values, centralMeridian );
|
---|
561 | set(expected, AbstractProvider.LATITUDE_OF_ORIGIN, values, latitudeOfOrigin);
|
---|
562 | set(expected, AbstractProvider.SCALE_FACTOR, values, scaleFactor );
|
---|
563 | set(expected, AbstractProvider.FALSE_EASTING, values, falseEasting );
|
---|
564 | set(expected, AbstractProvider.FALSE_NORTHING, values, falseNorthing );
|
---|
565 | return values;
|
---|
566 | }
|
---|
567 |
|
---|
568 | /**
|
---|
569 | * Returns the dimension of input points.
|
---|
570 | */
|
---|
571 | public final int getSourceDimensions() {
|
---|
572 | return 2;
|
---|
573 | }
|
---|
574 |
|
---|
575 | /**
|
---|
576 | * Returns the dimension of output points.
|
---|
577 | */
|
---|
578 | public final int getTargetDimensions() {
|
---|
579 | return 2;
|
---|
580 | }
|
---|
581 |
|
---|
582 |
|
---|
583 |
|
---|
584 |
|
---|
585 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
586 | //////// ////////
|
---|
587 | //////// TRANSFORMATION METHODS ////////
|
---|
588 | //////// Includes an inner class for inverse projections. ////////
|
---|
589 | //////// ////////
|
---|
590 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
591 |
|
---|
592 | /**
|
---|
593 | * Returns the orthodromic distance between the two specified points using a spherical
|
---|
594 | * approximation. This is used for assertions only.
|
---|
595 | */
|
---|
596 | private double orthodromicDistance(final Point2D source, final Point2D target) {
|
---|
597 | final double y1 = toRadians(source.getY());
|
---|
598 | final double y2 = toRadians(target.getY());
|
---|
599 | final double dx = toRadians(abs(target.getX() - source.getX()) % 360);
|
---|
600 | double rho = sin(y1)*sin(y2) + cos(y1)*cos(y2)*cos(dx);
|
---|
601 | if (rho > +1) {assert rho <= +(1+EPSILON) : rho; rho = +1;}
|
---|
602 | if (rho < -1) {assert rho >= -(1+EPSILON) : rho; rho = -1;}
|
---|
603 | return acos(rho) * semiMajor;
|
---|
604 | }
|
---|
605 |
|
---|
606 | /**
|
---|
607 | * Check point for private use by {@link #checkReciprocal}. This class is necessary in order
|
---|
608 | * to avoid never-ending loop in {@code assert} statements (when an {@code assert}
|
---|
609 | * calls {@code transform(...)}, which calls {@code inverse.transform(...)}, which
|
---|
610 | * calls {@code transform(...)}, etc.).
|
---|
611 | */
|
---|
612 | @SuppressWarnings("serial")
|
---|
613 | private static final class CheckPoint extends Point2D.Double {
|
---|
614 | public CheckPoint(final Point2D point) {
|
---|
615 | super(point.getX(), point.getY());
|
---|
616 | }
|
---|
617 | }
|
---|
618 |
|
---|
619 | /**
|
---|
620 | * Check if the transform of {@code point} is close enough to {@code target}.
|
---|
621 | * "Close enough" means that the two points are separated by a distance shorter than
|
---|
622 | * {@link #getToleranceForAssertions}. This method is used for assertions with J2SE 1.4.
|
---|
623 | *
|
---|
624 | * @param point Point to transform, in decimal degrees if {@code inverse} is {@code false}.
|
---|
625 | * @param target Point to compare to, in metres if {@code inverse} is {@code false}.
|
---|
626 | * @param inverse {@code true} for an inverse transform instead of a direct one.
|
---|
627 | * @return {@code true} if the two points are close enough.
|
---|
628 | */
|
---|
629 | private boolean checkReciprocal(Point2D point, final Point2D target, final boolean inverse)
|
---|
630 | throws ProjectionException
|
---|
631 | {
|
---|
632 | if (!(point instanceof CheckPoint)) try {
|
---|
633 | point = new CheckPoint(point);
|
---|
634 | final double longitude;
|
---|
635 | final double latitude;
|
---|
636 | final double distance;
|
---|
637 | if (inverse) {
|
---|
638 | // Computes orthodromic distance (spherical model) in metres.
|
---|
639 | point = inverse().transform(point, point);
|
---|
640 | distance = orthodromicDistance(point, target);
|
---|
641 | longitude = point.getX();
|
---|
642 | latitude = point.getY();
|
---|
643 | } else {
|
---|
644 | // Computes cartesian distance in metres.
|
---|
645 | longitude = point.getX();
|
---|
646 | latitude = point.getY();
|
---|
647 | point = transform(point, point);
|
---|
648 | distance = point.distance(target);
|
---|
649 | }
|
---|
650 | if (distance > getToleranceForAssertions(longitude, latitude)) {
|
---|
651 | /*
|
---|
652 | * Do not fail for NaN values. For other cases we must throw a ProjectionException,
|
---|
653 | * not an AssertionError, because some code like CRS.transform(CoordinateOperation,
|
---|
654 | * ...) will project points that are know to be suspicious by surrounding them in
|
---|
655 | * "try ... catch" statements. Failure are normal in their case and we want to let
|
---|
656 | * them handle the exception the way they are used to.
|
---|
657 | */
|
---|
658 | throw new ProjectionException(Errors.format(ErrorKeys.PROJECTION_CHECK_FAILED_$4,
|
---|
659 | distance,
|
---|
660 | new Longitude(longitude - toDegrees(centralMeridian )),
|
---|
661 | new Latitude (latitude - toDegrees(latitudeOfOrigin)),
|
---|
662 | getName()));
|
---|
663 | }
|
---|
664 | } catch (ProjectionException exception) {
|
---|
665 | throw exception;
|
---|
666 | } catch (TransformException exception) {
|
---|
667 | throw new ProjectionException(exception);
|
---|
668 | }
|
---|
669 | return true;
|
---|
670 | }
|
---|
671 |
|
---|
672 | /**
|
---|
673 | * Checks if transform using spherical formulas produces the same result
|
---|
674 | * than ellipsoidal formulas. This method is invoked during assertions only.
|
---|
675 | *
|
---|
676 | * @param x The easting computed by spherical formulas, in metres.
|
---|
677 | * @param y The northing computed by spherical formulas, in metres.
|
---|
678 | * @param expected The (easting,northing) computed by ellipsoidal formulas.
|
---|
679 | * @param tolerance The tolerance (optional).
|
---|
680 | */
|
---|
681 | static boolean checkTransform(final double x, final double y,
|
---|
682 | final Point2D expected, final double tolerance)
|
---|
683 | {
|
---|
684 | compare("x", expected.getX(), x, tolerance);
|
---|
685 | compare("y", expected.getY(), y, tolerance);
|
---|
686 | return tolerance < Double.POSITIVE_INFINITY;
|
---|
687 | }
|
---|
688 |
|
---|
689 | /**
|
---|
690 | * Default version of {@link #checkTransform(double,double,Point2D,double)}.
|
---|
691 | */
|
---|
692 | static boolean checkTransform(final double x, final double y, final Point2D expected) {
|
---|
693 | return checkTransform(x, y, expected, EPSILON);
|
---|
694 | }
|
---|
695 |
|
---|
696 | /**
|
---|
697 | * Checks if inverse transform using spherical formulas produces the same result
|
---|
698 | * than ellipsoidal formulas. This method is invoked during assertions only.
|
---|
699 | * <p>
|
---|
700 | * <strong>Note:</strong> this method ignores the longitude if the latitude is
|
---|
701 | * at a pole, because in such case the longitude is meanless.
|
---|
702 | *
|
---|
703 | * @param longitude The longitude computed by spherical formulas, in radians.
|
---|
704 | * @param latitude The latitude computed by spherical formulas, in radians.
|
---|
705 | * @param expected The (longitude,latitude) computed by ellipsoidal formulas.
|
---|
706 | * @param tolerance The tolerance (optional).
|
---|
707 | */
|
---|
708 | static boolean checkInverseTransform(final double longitude, final double latitude,
|
---|
709 | final Point2D expected, final double tolerance)
|
---|
710 | {
|
---|
711 | compare("latitude", expected.getY(), latitude, tolerance);
|
---|
712 | if (abs(PI/2 - abs(latitude)) > EPSILON) {
|
---|
713 | compare("longitude", expected.getX(), longitude, tolerance);
|
---|
714 | }
|
---|
715 | return tolerance < Double.POSITIVE_INFINITY;
|
---|
716 | }
|
---|
717 |
|
---|
718 | /**
|
---|
719 | * Default version of {@link #checkInverseTransform(double,double,Point2D,double)}.
|
---|
720 | */
|
---|
721 | static boolean checkInverseTransform(double longitude, double latitude, Point2D expected) {
|
---|
722 | return checkInverseTransform(longitude, latitude, expected, EPSILON);
|
---|
723 | }
|
---|
724 |
|
---|
725 | /**
|
---|
726 | * Compares two value for equality up to some tolerance threshold. This is used during
|
---|
727 | * assertions only. The comparaison do not fails if at least one value to compare is
|
---|
728 | * {@link Double#NaN}.
|
---|
729 | * <p>
|
---|
730 | * <strong>Hack:</strong> if the {@code variable} name starts by lower-case {@code L}
|
---|
731 | * (as in "longitude" and "latitude"), then the value is assumed to be an angle in
|
---|
732 | * radians. This is used for formatting an error message, if needed.
|
---|
733 | */
|
---|
734 | private static void compare(String variable, double expected, double actual, double tolerance) {
|
---|
735 | if (abs(expected - actual) > tolerance) {
|
---|
736 | if (variable.charAt(0) == 'l') {
|
---|
737 | actual = toDegrees(actual);
|
---|
738 | expected = toDegrees(expected);
|
---|
739 | }
|
---|
740 | throw new AssertionError(Errors.format(ErrorKeys.TEST_FAILURE_$3, variable, expected, actual));
|
---|
741 | }
|
---|
742 | }
|
---|
743 |
|
---|
744 | /**
|
---|
745 | * Transforms the specified coordinate and stores the result in {@code ptDst}. This method
|
---|
746 | * returns longitude as <var>x</var> values in the range {@code [-PI..PI]} and latitude as
|
---|
747 | * <var>y</var> values in the range {@code [-PI/2..PI/2]}. It will be checked by the caller,
|
---|
748 | * so this method doesn't need to performs this check.
|
---|
749 | * <p>
|
---|
750 | * Input coordinates have the {@link #falseEasting} and {@link #falseNorthing} removed and are
|
---|
751 | * divided by {@link #globalScale} before this method is invoked. After this method is invoked,
|
---|
752 | * the {@link #centralMeridian} is added to the {@code x} results in {@code ptDst}. This means
|
---|
753 | * that projections that implement this method are performed on an ellipse (or sphere) with a
|
---|
754 | * semi-major axis of 1.
|
---|
755 | * <p>
|
---|
756 | * In <A HREF="http://www.remotesensing.org/proj/">PROJ.4</A>, the same standardization,
|
---|
757 | * described above, is handled by {@code pj_inv.c}. Therefore when porting projections
|
---|
758 | * from PROJ.4, the inverse transform equations can be used directly here with minimal
|
---|
759 | * change. In the equations of Snyder, {@link #falseEasting}, {@link #falseNorthing} and
|
---|
760 | * {@link #scaleFactor} are usually not given. When implementing these equations here, you
|
---|
761 | * will not need to add the {@link #centralMeridian} to the output longitude or remove the
|
---|
762 | * {@link #semiMajor} (<var>a</var> or <var>R</var>).
|
---|
763 | *
|
---|
764 | * @param x The easting of the coordinate, linear distance on a unit sphere or ellipse.
|
---|
765 | * @param y The northing of the coordinate, linear distance on a unit sphere or ellipse.
|
---|
766 | * @param ptDst the specified coordinate point that stores the result of transforming
|
---|
767 | * {@code ptSrc}, or {@code null}. Ordinates will be in <strong>radians</strong>.
|
---|
768 | * @return the coordinate point after transforming {@code x}, {@code y}
|
---|
769 | * and storing the result in {@code ptDst}.
|
---|
770 | * @throws ProjectionException if the point can't be transformed.
|
---|
771 | */
|
---|
772 | protected abstract Point2D inverseTransformNormalized(double x, double y, final Point2D ptDst)
|
---|
773 | throws ProjectionException;
|
---|
774 |
|
---|
775 | /**
|
---|
776 | * Transforms the specified coordinate and stores the result in {@code ptDst}. This method is
|
---|
777 | * usually (but <strong>not</strong> guaranteed) to be invoked with values of <var>x</var> in
|
---|
778 | * the range {@code [-PI..PI]} and values of <var>y</var> in the range {@code [-PI/2..PI/2]}.
|
---|
779 | * Values outside those ranges are accepted (sometime with a warning logged) on the assumption
|
---|
780 | * that most implementations use those values only in trigonometric functions like
|
---|
781 | * {@linkplain Math#sin sin} and {@linkplain Math#cos cos}.
|
---|
782 | * <p>
|
---|
783 | * Coordinates have the {@link #centralMeridian} removed from <var>lambda</var> before this
|
---|
784 | * method is invoked. After this method is invoked, the results in {@code ptDst} are multiplied
|
---|
785 | * by {@link #globalScale}, and the {@link #falseEasting} and {@link #falseNorthing} are added.
|
---|
786 | * This means that projections that implement this method are performed on an ellipse (or sphere)
|
---|
787 | * with a semi-major axis of 1.
|
---|
788 | * <p>
|
---|
789 | * In <A HREF="http://www.remotesensing.org/proj/">PROJ.4</A>, the same standardization,
|
---|
790 | * described above, is handled by {@code pj_fwd.c}. Therefore when porting projections
|
---|
791 | * from PROJ.4, the forward transform equations can be used directly here with minimal
|
---|
792 | * change. In the equations of Snyder, {@link #falseEasting}, {@link #falseNorthing} and
|
---|
793 | * {@link #scaleFactor} are usually not given. When implementing these equations here,
|
---|
794 | * you will not need to remove the {@link #centralMeridian} from <var>lambda</var> or apply
|
---|
795 | * the {@link #semiMajor} (<var>a</var> or <var>R</var>).
|
---|
796 | *
|
---|
797 | * @param lambda The longitude of the coordinate, in <strong>radians</strong>.
|
---|
798 | * @param phi The latitude of the coordinate, in <strong>radians</strong>.
|
---|
799 | * @param ptDst the specified coordinate point that stores the result of transforming
|
---|
800 | * {@code ptSrc}, or {@code null}. Ordinates will be in a
|
---|
801 | * dimensionless unit, as a linear distance on a unit sphere or ellipse.
|
---|
802 | * @return the coordinate point after transforming ({@code lambda}, {@code phi})
|
---|
803 | * and storing the result in {@code ptDst}.
|
---|
804 | * @throws ProjectionException if the point can't be transformed.
|
---|
805 | */
|
---|
806 | protected abstract Point2D transformNormalized(double lambda, double phi, final Point2D ptDst)
|
---|
807 | throws ProjectionException;
|
---|
808 |
|
---|
809 | /**
|
---|
810 | * Transforms the specified {@code ptSrc} and stores the result in {@code ptDst}.
|
---|
811 | * <p>
|
---|
812 | * This method standardizes the source {@code x} coordinate
|
---|
813 | * by removing the {@link #centralMeridian}, before invoking
|
---|
814 | * <code>{@link #transformNormalized transformNormalized}(x, y, ptDst)</code>.
|
---|
815 | * It also multiplies by {@link #globalScale} and adds the {@link #falseEasting} and
|
---|
816 | * {@link #falseNorthing} to the point returned by the {@code transformNormalized(...)} call.
|
---|
817 | *
|
---|
818 | * @param ptSrc the specified coordinate point to be transformed.
|
---|
819 | * Ordinates must be in decimal degrees.
|
---|
820 | * @param ptDst the specified coordinate point that stores the result of transforming
|
---|
821 | * {@code ptSrc}, or {@code null}. Ordinates will be in metres.
|
---|
822 | * @return the coordinate point after transforming {@code ptSrc} and storing
|
---|
823 | * the result in {@code ptDst}.
|
---|
824 | * @throws ProjectionException if the point can't be transformed.
|
---|
825 | */
|
---|
826 | @Override
|
---|
827 | public final Point2D transform(final Point2D ptSrc, Point2D ptDst) throws ProjectionException {
|
---|
828 | final double x = ptSrc.getX();
|
---|
829 | final double y = ptSrc.getY();
|
---|
830 | if (verifyCoordinateRanges()) {
|
---|
831 | if (verifyGeographicRanges(this, x, y)) {
|
---|
832 | warningLogged();
|
---|
833 | }
|
---|
834 | }
|
---|
835 | /*
|
---|
836 | * Makes sure that the longitude before conversion stay within +/- PI radians. As a
|
---|
837 | * special case, we do not check the range if no rotation were applied on the longitude.
|
---|
838 | * This is because the user may have a big area ranging from -180° to +180°. With the
|
---|
839 | * slight rounding errors related to map projections, the 180° longitude may be slightly
|
---|
840 | * over the limit. Rolling the longitude would changes its sign. For example a bounding
|
---|
841 | * box from 30° to +180° would become 30° to -180°, which is probably not what the user
|
---|
842 | * wanted.
|
---|
843 | */
|
---|
844 | ptDst = transformNormalized(centralMeridian != 0 ?
|
---|
845 | rollLongitude(toRadians(x) - centralMeridian) : toRadians(x), toRadians(y), ptDst);
|
---|
846 | ptDst.setLocation(globalScale*ptDst.getX() + falseEasting,
|
---|
847 | globalScale*ptDst.getY() + falseNorthing);
|
---|
848 |
|
---|
849 | if(invertible) {
|
---|
850 | assert checkReciprocal(ptDst, (ptSrc!=ptDst) ? ptSrc : new Point2D.Double(x,y), true);
|
---|
851 | }
|
---|
852 | return ptDst;
|
---|
853 | }
|
---|
854 |
|
---|
855 | /**
|
---|
856 | * Transforms a list of coordinate point ordinal values. Ordinates must be
|
---|
857 | * (<var>longitude</var>,<var>latitude</var>) pairs in decimal degrees.
|
---|
858 | *
|
---|
859 | * @throws ProjectionException if a point can't be transformed. This method tries to transform
|
---|
860 | * every points even if some of them can't be transformed. Non-transformable points will
|
---|
861 | * have value {@link Double#NaN}. If more than one point can't be transformed, then this
|
---|
862 | * exception may be about an arbitrary point.
|
---|
863 | */
|
---|
864 | public final void transform(final double[] srcPts, int srcOff,
|
---|
865 | final double[] dstPts, int dstOff, int numPts)
|
---|
866 | throws ProjectionException
|
---|
867 | {
|
---|
868 | /*
|
---|
869 | * Vérifie s'il faudra parcourir le tableau en sens inverse.
|
---|
870 | * Ce sera le cas si les tableaux source et destination se
|
---|
871 | * chevauchent et que la destination est après la source.
|
---|
872 | */
|
---|
873 | final boolean reverse = (srcPts == dstPts && srcOff < dstOff &&
|
---|
874 | srcOff + (2*numPts) > dstOff);
|
---|
875 | if (reverse) {
|
---|
876 | srcOff += 2*numPts;
|
---|
877 | dstOff += 2*numPts;
|
---|
878 | }
|
---|
879 | final Point2D.Double point = new Point2D.Double();
|
---|
880 | ProjectionException firstException = null;
|
---|
881 | while (--numPts >= 0) {
|
---|
882 | try {
|
---|
883 | point.x = srcPts[srcOff++];
|
---|
884 | point.y = srcPts[srcOff++];
|
---|
885 | transform(point, point);
|
---|
886 | dstPts[dstOff++] = point.x;
|
---|
887 | dstPts[dstOff++] = point.y;
|
---|
888 | } catch (ProjectionException exception) {
|
---|
889 | dstPts[dstOff++] = Double.NaN;
|
---|
890 | dstPts[dstOff++] = Double.NaN;
|
---|
891 | if (firstException == null) {
|
---|
892 | firstException = exception;
|
---|
893 | }
|
---|
894 | }
|
---|
895 | if (reverse) {
|
---|
896 | srcOff -= 4;
|
---|
897 | dstOff -= 4;
|
---|
898 | }
|
---|
899 | }
|
---|
900 | if (firstException != null) {
|
---|
901 | throw firstException;
|
---|
902 | }
|
---|
903 | }
|
---|
904 |
|
---|
905 | /**
|
---|
906 | * Transforms a list of coordinate point ordinal values. Ordinates must be
|
---|
907 | * (<var>longitude</var>,<var>latitude</var>) pairs in decimal degrees.
|
---|
908 | *
|
---|
909 | * @throws ProjectionException if a point can't be transformed. This method tries to transform
|
---|
910 | * every points even if some of them can't be transformed. Non-transformable points will
|
---|
911 | * have value {@link Float#NaN}. If more than one point can't be transformed, then this
|
---|
912 | * exception may be about an arbitrary point.
|
---|
913 | */
|
---|
914 | @Override
|
---|
915 | public final void transform(final float[] srcPts, int srcOff,
|
---|
916 | final float[] dstPts, int dstOff, int numPts)
|
---|
917 | throws ProjectionException
|
---|
918 | {
|
---|
919 | final boolean reverse = (srcPts == dstPts && srcOff < dstOff &&
|
---|
920 | srcOff + (2*numPts) > dstOff);
|
---|
921 | if (reverse) {
|
---|
922 | srcOff += 2*numPts;
|
---|
923 | dstOff += 2*numPts;
|
---|
924 | }
|
---|
925 | final Point2D.Double point = new Point2D.Double();
|
---|
926 | ProjectionException firstException = null;
|
---|
927 | while (--numPts >= 0) {
|
---|
928 | try {
|
---|
929 | point.x = srcPts[srcOff++];
|
---|
930 | point.y = srcPts[srcOff++];
|
---|
931 | transform(point, point);
|
---|
932 | dstPts[dstOff++] = (float) point.x;
|
---|
933 | dstPts[dstOff++] = (float) point.y;
|
---|
934 | } catch (ProjectionException exception) {
|
---|
935 | dstPts[dstOff++] = Float.NaN;
|
---|
936 | dstPts[dstOff++] = Float.NaN;
|
---|
937 | if (firstException == null) {
|
---|
938 | firstException = exception;
|
---|
939 | }
|
---|
940 | }
|
---|
941 | if (reverse) {
|
---|
942 | srcOff -= 4;
|
---|
943 | dstOff -= 4;
|
---|
944 | }
|
---|
945 | }
|
---|
946 | if (firstException != null) {
|
---|
947 | throw firstException;
|
---|
948 | }
|
---|
949 | }
|
---|
950 |
|
---|
951 | /**
|
---|
952 | * Inverse of a map projection. Will be created by {@link MapProjection#inverse()} only when
|
---|
953 | * first required. Implementation of {@code transform(...)} methods are mostly identical
|
---|
954 | * to {@code MapProjection.transform(...)}, except that they will invokes
|
---|
955 | * {@link MapProjection#inverseTransformNormalized} instead of
|
---|
956 | * {@link MapProjection#transformNormalized}.
|
---|
957 | *
|
---|
958 | * @version $Id: MapProjection.java 37299 2011-05-25 05:21:24Z mbedward $
|
---|
959 | * @author Martin Desruisseaux (PMO, IRD)
|
---|
960 | */
|
---|
961 | private final class Inverse extends AbstractMathTransform.Inverse implements MathTransform2D {
|
---|
962 | /**
|
---|
963 | * For cross-version compatibility.
|
---|
964 | */
|
---|
965 | private static final long serialVersionUID = -9138242780765956870L;
|
---|
966 |
|
---|
967 | /**
|
---|
968 | * Default constructor.
|
---|
969 | */
|
---|
970 | public Inverse() {
|
---|
971 | MapProjection.this.super();
|
---|
972 | }
|
---|
973 |
|
---|
974 | /**
|
---|
975 | * Inverse transforms the specified {@code ptSrc} and stores the result in {@code ptDst}.
|
---|
976 | * <p>
|
---|
977 | * This method standardizes the {@code ptSrc} by removing the {@link #falseEasting}
|
---|
978 | * and {@link #falseNorthing} and dividing by {@link #globalScale} before invoking
|
---|
979 | * <code>{@link #inverseTransformNormalized inverseTransformNormalized}(x, y, ptDst)</code>.
|
---|
980 | * It then adds the {@link #centralMeridian} to the {@code x} of the point returned by the
|
---|
981 | * {@code inverseTransformNormalized} call.
|
---|
982 | *
|
---|
983 | * @param ptSrc the specified coordinate point to be transformed.
|
---|
984 | * Ordinates must be in metres.
|
---|
985 | * @param ptDst the specified coordinate point that stores the result of transforming
|
---|
986 | * {@code ptSrc}, or {@code null}. Ordinates will be in decimal degrees.
|
---|
987 | * @return the coordinate point after transforming {@code ptSrc}
|
---|
988 | * and stroring the result in {@code ptDst}.
|
---|
989 | * @throws ProjectionException if the point can't be transformed.
|
---|
990 | */
|
---|
991 | @Override
|
---|
992 | public final Point2D transform(final Point2D ptSrc, Point2D ptDst)
|
---|
993 | throws ProjectionException
|
---|
994 | {
|
---|
995 | final double x0 = ptSrc.getX();
|
---|
996 | final double y0 = ptSrc.getY();
|
---|
997 | ptDst = inverseTransformNormalized((x0 - falseEasting ) / globalScale,
|
---|
998 | (y0 - falseNorthing) / globalScale, ptDst);
|
---|
999 | /*
|
---|
1000 | * Makes sure that the longitude after conversion stay within +/- PI radians. As a
|
---|
1001 | * special case, we do not check the range if no rotation were applied on the longitude.
|
---|
1002 | * This is because the user may have a big area ranging from -180° to +180°. With the
|
---|
1003 | * slight rounding errors related to map projections, the 180° longitude may be slightly
|
---|
1004 | * over the limit. Rolling the longitude would changes its sign. For example a bounding
|
---|
1005 | * box from 30° to +180° would become 30° to -180°, which is probably not what the user
|
---|
1006 | * wanted.
|
---|
1007 | */
|
---|
1008 | final double x = toDegrees(centralMeridian != 0 ?
|
---|
1009 | rollLongitude(ptDst.getX() + centralMeridian) : ptDst.getX());
|
---|
1010 | final double y = toDegrees(ptDst.getY());
|
---|
1011 | ptDst.setLocation(x,y);
|
---|
1012 | if (verifyCoordinateRanges()) {
|
---|
1013 | if (verifyGeographicRanges(this, x, y)) {
|
---|
1014 | warningLogged();
|
---|
1015 | }
|
---|
1016 | }
|
---|
1017 | assert checkReciprocal(ptDst, (ptSrc!=ptDst) ? ptSrc : new Point2D.Double(x0, y0), false);
|
---|
1018 | return ptDst;
|
---|
1019 | }
|
---|
1020 |
|
---|
1021 | /**
|
---|
1022 | * Inverse transforms a list of coordinate point ordinal values.
|
---|
1023 | * Ordinates must be (<var>x</var>,<var>y</var>) pairs in metres.
|
---|
1024 | *
|
---|
1025 | * @throws ProjectionException if a point can't be transformed. This method tries
|
---|
1026 | * to transform every points even if some of them can't be transformed.
|
---|
1027 | * Non-transformable points will have value {@link Double#NaN}. If more
|
---|
1028 | * than one point can't be transformed, then this exception may be about
|
---|
1029 | * an arbitrary point.
|
---|
1030 | */
|
---|
1031 | public final void transform(final double[] src, int srcOffset,
|
---|
1032 | final double[] dest, int dstOffset, int numPts)
|
---|
1033 | throws TransformException
|
---|
1034 | {
|
---|
1035 | /*
|
---|
1036 | * Vérifie s'il faudra parcourir le tableau en sens inverse.
|
---|
1037 | * Ce sera le cas si les tableaux source et destination se
|
---|
1038 | * chevauchent et que la destination est après la source.
|
---|
1039 | */
|
---|
1040 | final boolean reverse = (src==dest && srcOffset<dstOffset &&
|
---|
1041 | srcOffset+(2*numPts) > dstOffset);
|
---|
1042 | if (reverse) {
|
---|
1043 | srcOffset += 2*numPts;
|
---|
1044 | dstOffset += 2*numPts;
|
---|
1045 | }
|
---|
1046 | final Point2D.Double point = new Point2D.Double();
|
---|
1047 | ProjectionException firstException = null;
|
---|
1048 | while (--numPts>=0) {
|
---|
1049 | try {
|
---|
1050 | point.x = src[srcOffset++];
|
---|
1051 | point.y = src[srcOffset++];
|
---|
1052 | transform(point, point);
|
---|
1053 | dest[dstOffset++] = point.x;
|
---|
1054 | dest[dstOffset++] = point.y;
|
---|
1055 | } catch (ProjectionException exception) {
|
---|
1056 | dest[dstOffset++] = Double.NaN;
|
---|
1057 | dest[dstOffset++] = Double.NaN;
|
---|
1058 | if (firstException == null) {
|
---|
1059 | firstException = exception;
|
---|
1060 | }
|
---|
1061 | }
|
---|
1062 | if (reverse) {
|
---|
1063 | srcOffset -= 4;
|
---|
1064 | dstOffset -= 4;
|
---|
1065 | }
|
---|
1066 | }
|
---|
1067 | if (firstException != null) {
|
---|
1068 | throw firstException;
|
---|
1069 | }
|
---|
1070 | }
|
---|
1071 |
|
---|
1072 | /**
|
---|
1073 | * Inverse transforms a list of coordinate point ordinal values.
|
---|
1074 | * Ordinates must be (<var>x</var>,<var>y</var>) pairs in metres.
|
---|
1075 | *
|
---|
1076 | * @throws ProjectionException if a point can't be transformed. This method tries
|
---|
1077 | * to transform every points even if some of them can't be transformed.
|
---|
1078 | * Non-transformable points will have value {@link Float#NaN}. If more
|
---|
1079 | * than one point can't be transformed, then this exception may be about
|
---|
1080 | * an arbitrary point.
|
---|
1081 | */
|
---|
1082 | @Override
|
---|
1083 | public final void transform(final float[] src, int srcOffset,
|
---|
1084 | final float[] dest, int dstOffset, int numPts)
|
---|
1085 | throws ProjectionException
|
---|
1086 | {
|
---|
1087 | final boolean reverse = (src==dest && srcOffset<dstOffset &&
|
---|
1088 | srcOffset+(2*numPts) > dstOffset);
|
---|
1089 | if (reverse) {
|
---|
1090 | srcOffset += 2*numPts;
|
---|
1091 | dstOffset += 2*numPts;
|
---|
1092 | }
|
---|
1093 | final Point2D.Double point = new Point2D.Double();
|
---|
1094 | ProjectionException firstException = null;
|
---|
1095 | while (--numPts>=0) {
|
---|
1096 | try {
|
---|
1097 | point.x = src[srcOffset++];
|
---|
1098 | point.y = src[srcOffset++];
|
---|
1099 | transform(point, point);
|
---|
1100 | dest[dstOffset++] = (float) point.x;
|
---|
1101 | dest[dstOffset++] = (float) point.y;
|
---|
1102 | } catch (ProjectionException exception) {
|
---|
1103 | dest[dstOffset++] = Float.NaN;
|
---|
1104 | dest[dstOffset++] = Float.NaN;
|
---|
1105 | if (firstException == null) {
|
---|
1106 | firstException = exception;
|
---|
1107 | }
|
---|
1108 | }
|
---|
1109 | if (reverse) {
|
---|
1110 | srcOffset -= 4;
|
---|
1111 | dstOffset -= 4;
|
---|
1112 | }
|
---|
1113 | }
|
---|
1114 | if (firstException!=null) {
|
---|
1115 | throw firstException;
|
---|
1116 | }
|
---|
1117 | }
|
---|
1118 |
|
---|
1119 | /**
|
---|
1120 | * Returns the original map projection.
|
---|
1121 | */
|
---|
1122 | @Override
|
---|
1123 | public MathTransform2D inverse() {
|
---|
1124 | return (MathTransform2D) super.inverse();
|
---|
1125 | }
|
---|
1126 | }
|
---|
1127 |
|
---|
1128 | /**
|
---|
1129 | * Returns the inverse of this map projection.
|
---|
1130 | */
|
---|
1131 | @Override
|
---|
1132 | public final MathTransform2D inverse() throws NoninvertibleTransformException {
|
---|
1133 | if(!invertible) {
|
---|
1134 | throw new NoninvertibleTransformException(Errors.format(ErrorKeys.NONINVERTIBLE_TRANSFORM));
|
---|
1135 | }
|
---|
1136 |
|
---|
1137 |
|
---|
1138 | // No synchronization. Not a big deal if this method is invoked in
|
---|
1139 | // the same time by two threads resulting in two instances created.
|
---|
1140 | if (inverse == null) {
|
---|
1141 | inverse = new Inverse();
|
---|
1142 | }
|
---|
1143 | return inverse;
|
---|
1144 | }
|
---|
1145 |
|
---|
1146 | /**
|
---|
1147 | * Maximal error (in metres) tolerated for assertions, if enabled. When assertions are enabled,
|
---|
1148 | * every direct projection is followed by an inverse projection, and the result is compared to
|
---|
1149 | * the original coordinate. If a distance greater than the tolerance level is found, then an
|
---|
1150 | * {@link ProjectionException} will be thrown. Subclasses should override this method if they
|
---|
1151 | * need to relax the tolerance level.
|
---|
1152 | *
|
---|
1153 | * @param longitude The longitude in decimal degrees.
|
---|
1154 | * @param latitude The latitude in decimal degrees.
|
---|
1155 | * @return The tolerance level for assertions, in meters.
|
---|
1156 | */
|
---|
1157 | protected double getToleranceForAssertions(final double longitude, final double latitude) {
|
---|
1158 | final double delta = abs(longitude - centralMeridian)/2 +
|
---|
1159 | abs(latitude - latitudeOfOrigin);
|
---|
1160 | if (delta > 40) {
|
---|
1161 | // When far from the valid area, use a larger tolerance.
|
---|
1162 | return 1;
|
---|
1163 | }
|
---|
1164 | // Be less strict when the point is near an edge.
|
---|
1165 | return (abs(longitude) > 179) || (abs(latitude) > 89) ? 1E-1 : 1E-5;
|
---|
1166 | }
|
---|
1167 |
|
---|
1168 | /**
|
---|
1169 | * When {@code true}, coordinate ranges will be checked, and a {@link Level#WARNING WARNING}
|
---|
1170 | * log will be issued if they are out of their natural ranges (-180/180° for longitude,
|
---|
1171 | * -90/90° for latitude).
|
---|
1172 | * <p>
|
---|
1173 | * To avoid excessive logging, this flag will be set to {@code false} after the first
|
---|
1174 | * coordinate failing the checks is found.
|
---|
1175 | */
|
---|
1176 | final boolean verifyCoordinateRanges() {
|
---|
1177 | /*
|
---|
1178 | * Do not synchronize - doing so would be a major bottleneck since this method will be
|
---|
1179 | * invoked thousands of time. The consequence is that a call to {@link #resetWarnings}
|
---|
1180 | * may not be reflected immediately in other threads, but the later is defined only on
|
---|
1181 | * a "best effort" basis.
|
---|
1182 | */
|
---|
1183 | return rangeCheckSemaphore != globalRangeCheckSemaphore;
|
---|
1184 | }
|
---|
1185 |
|
---|
1186 | /**
|
---|
1187 | * To be invoked after a warning in order to disable subsequent warnings.
|
---|
1188 | */
|
---|
1189 | final void warningLogged() {
|
---|
1190 | synchronized (MapProjection.class) {
|
---|
1191 | rangeCheckSemaphore = globalRangeCheckSemaphore;
|
---|
1192 | }
|
---|
1193 | }
|
---|
1194 |
|
---|
1195 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1196 | //////// ////////
|
---|
1197 | //////// IMPLEMENTATION OF Object AND MathTransform2D STANDARD METHODS ////////
|
---|
1198 | //////// ////////
|
---|
1199 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1200 |
|
---|
1201 | /**
|
---|
1202 | * Returns a hash value for this map projection.
|
---|
1203 | */
|
---|
1204 | @Override
|
---|
1205 | public int hashCode() {
|
---|
1206 | long code = Double.doubleToLongBits(semiMajor);
|
---|
1207 | code = code*37 + Double.doubleToLongBits(semiMinor);
|
---|
1208 | code = code*37 + Double.doubleToLongBits(centralMeridian);
|
---|
1209 | code = code*37 + Double.doubleToLongBits(latitudeOfOrigin);
|
---|
1210 | return (int) code ^ (int) (code >>> 32);
|
---|
1211 | }
|
---|
1212 |
|
---|
1213 | /**
|
---|
1214 | * Compares the specified object with this map projection for equality.
|
---|
1215 | */
|
---|
1216 | @Override
|
---|
1217 | public boolean equals(final Object object) {
|
---|
1218 | // Do not check 'object==this' here, since this
|
---|
1219 | // optimization is usually done in subclasses.
|
---|
1220 | if (super.equals(object)) {
|
---|
1221 | final MapProjection that = (MapProjection) object;
|
---|
1222 | return equals(this.semiMajor, that.semiMajor) &&
|
---|
1223 | equals(this.semiMinor, that.semiMinor) &&
|
---|
1224 | equals(this.centralMeridian, that.centralMeridian) &&
|
---|
1225 | equals(this.latitudeOfOrigin, that.latitudeOfOrigin) &&
|
---|
1226 | equals(this.scaleFactor, that.scaleFactor) &&
|
---|
1227 | equals(this.falseEasting, that.falseEasting) &&
|
---|
1228 | equals(this.falseNorthing, that.falseNorthing);
|
---|
1229 | }
|
---|
1230 | return false;
|
---|
1231 | }
|
---|
1232 |
|
---|
1233 | /**
|
---|
1234 | * Returns {@code true} if the two specified value are equals.
|
---|
1235 | * Two {@link Double#NaN NaN} values are considered equals.
|
---|
1236 | */
|
---|
1237 | static boolean equals(final double value1, final double value2) {
|
---|
1238 | return Utilities.equals(value1, value2);
|
---|
1239 | }
|
---|
1240 |
|
---|
1241 |
|
---|
1242 |
|
---|
1243 |
|
---|
1244 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1245 | //////// ////////
|
---|
1246 | //////// FORMULAS FROM SNYDER ////////
|
---|
1247 | //////// ////////
|
---|
1248 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1249 |
|
---|
1250 | /**
|
---|
1251 | * Iteratively solve equation (7-9) from Snyder.
|
---|
1252 | */
|
---|
1253 | final double cphi2(final double ts) throws ProjectionException {
|
---|
1254 | final double eccnth = 0.5 * excentricity;
|
---|
1255 | double phi = (PI/2) - 2.0 * atan(ts);
|
---|
1256 | for (int i=0; i<MAXIMUM_ITERATIONS; i++) {
|
---|
1257 | final double con = excentricity * sin(phi);
|
---|
1258 | final double dphi = (PI/2) - 2.0*atan(ts * pow((1-con)/(1+con), eccnth)) - phi;
|
---|
1259 | phi += dphi;
|
---|
1260 | if (abs(dphi) <= ITERATION_TOLERANCE) {
|
---|
1261 | return phi;
|
---|
1262 | }
|
---|
1263 | }
|
---|
1264 | throw new ProjectionException(ErrorKeys.NO_CONVERGENCE);
|
---|
1265 | }
|
---|
1266 |
|
---|
1267 | /**
|
---|
1268 | * Computes function <code>f(s,c,e²) = c/sqrt(1 - s²×e²)</code> needed for the true scale
|
---|
1269 | * latitude (Snyder 14-15), where <var>s</var> and <var>c</var> are the sine and cosine of
|
---|
1270 | * the true scale latitude, and <var>e²</var> is the {@linkplain #excentricitySquared
|
---|
1271 | * eccentricity squared}.
|
---|
1272 | */
|
---|
1273 | final double msfn(final double s, final double c) {
|
---|
1274 | return c / sqrt(1.0 - (s*s) * excentricitySquared);
|
---|
1275 | }
|
---|
1276 |
|
---|
1277 | /**
|
---|
1278 | * Computes function (15-9) and (9-13) from Snyder.
|
---|
1279 | * Equivalent to negative of function (7-7).
|
---|
1280 | */
|
---|
1281 | final double tsfn(final double phi, double sinphi) {
|
---|
1282 | sinphi *= excentricity;
|
---|
1283 | /*
|
---|
1284 | * NOTE: change sign to get the equivalent of Snyder (7-7).
|
---|
1285 | */
|
---|
1286 | return tan(0.5 * (PI/2 - phi)) / pow((1 - sinphi) / (1 + sinphi), 0.5*excentricity);
|
---|
1287 | }
|
---|
1288 |
|
---|
1289 | /**
|
---|
1290 | * Calculates the meridian distance. This is the distance along the central
|
---|
1291 | * meridian from the equator to {@code phi}. Accurate to < 1e-5 meters
|
---|
1292 | * when used in conjuction with typical major axis values.
|
---|
1293 | *
|
---|
1294 | * @param phi latitude to calculate meridian distance for.
|
---|
1295 | * @param sphi sin(phi).
|
---|
1296 | * @param cphi cos(phi).
|
---|
1297 | * @return meridian distance for the given latitude.
|
---|
1298 | */
|
---|
1299 | protected final double mlfn(final double phi, double sphi, double cphi) {
|
---|
1300 | cphi *= sphi;
|
---|
1301 | sphi *= sphi;
|
---|
1302 | return en0 * phi - cphi *
|
---|
1303 | (en1 + sphi *
|
---|
1304 | (en2 + sphi *
|
---|
1305 | (en3 + sphi *
|
---|
1306 | (en4))));
|
---|
1307 | }
|
---|
1308 |
|
---|
1309 | /**
|
---|
1310 | * Calculates the latitude ({@code phi}) from a meridian distance.
|
---|
1311 | * Determines phi to TOL (1e-11) radians, about 1e-6 seconds.
|
---|
1312 | *
|
---|
1313 | * @param arg meridian distance to calulate latitude for.
|
---|
1314 | * @return the latitude of the meridian distance.
|
---|
1315 | * @throws ProjectionException if the itteration does not converge.
|
---|
1316 | */
|
---|
1317 | protected final double inv_mlfn(double arg) throws ProjectionException {
|
---|
1318 | double s, t, phi, k = 1.0/(1.0 - excentricitySquared);
|
---|
1319 | int i;
|
---|
1320 | phi = arg;
|
---|
1321 | for (i=MAXIMUM_ITERATIONS; true;) { // rarely goes over 5 iterations
|
---|
1322 | if (--i < 0) {
|
---|
1323 | throw new ProjectionException(Errors.format(ErrorKeys.NO_CONVERGENCE));
|
---|
1324 | }
|
---|
1325 | s = Math.sin(phi);
|
---|
1326 | t = 1.0 - excentricitySquared * s * s;
|
---|
1327 | t = (mlfn(phi, s, Math.cos(phi)) - arg) * (t * Math.sqrt(t)) * k;
|
---|
1328 | phi -= t;
|
---|
1329 | if (Math.abs(t) < MLFN_TOL) {
|
---|
1330 | return phi;
|
---|
1331 | }
|
---|
1332 | }
|
---|
1333 | }
|
---|
1334 |
|
---|
1335 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1336 | //////// ////////
|
---|
1337 | //////// PROVIDER ////////
|
---|
1338 | //////// ////////
|
---|
1339 | //////////////////////////////////////////////////////////////////////////////////////////
|
---|
1340 |
|
---|
1341 | /**
|
---|
1342 | * The base provider for {@link MapProjection}s.
|
---|
1343 | *
|
---|
1344 | * @version $Id: MapProjection.java 37299 2011-05-25 05:21:24Z mbedward $
|
---|
1345 | * @author Martin Desruisseaux (PMO, IRD)
|
---|
1346 | */
|
---|
1347 | public static abstract class AbstractProvider extends MathTransformProvider {
|
---|
1348 | /**
|
---|
1349 | * Serial number for interoperability with different versions.
|
---|
1350 | */
|
---|
1351 | private static final long serialVersionUID = 6280666068007678702L;
|
---|
1352 |
|
---|
1353 | /**
|
---|
1354 | * The operation parameter descriptor for the {@linkplain #semiMajor semi major} parameter
|
---|
1355 | * value. Valid values range is from 0 to infinity. This parameter is mandatory.
|
---|
1356 | *
|
---|
1357 | * @todo Would like to start range from 0 <u>exclusive</u>.
|
---|
1358 | */
|
---|
1359 | public static final ParameterDescriptor SEMI_MAJOR = createDescriptor(
|
---|
1360 | new NamedIdentifier[] {
|
---|
1361 | new NamedIdentifier(Citations.OGC, "semi_major"),
|
---|
1362 | new NamedIdentifier(Citations.EPSG, "semi-major axis")
|
---|
1363 | // EPSG does not specifically define the above parameter
|
---|
1364 | },
|
---|
1365 | Double.NaN, 0, Double.POSITIVE_INFINITY, SI.METER);
|
---|
1366 |
|
---|
1367 | /**
|
---|
1368 | * The operation parameter descriptor for the {@linkplain #semiMinor semi minor} parameter
|
---|
1369 | * value. Valid values range is from 0 to infinity. This parameter is mandatory.
|
---|
1370 | *
|
---|
1371 | * @todo Would like to start range from 0 <u>exclusive</u>.
|
---|
1372 | */
|
---|
1373 | public static final ParameterDescriptor SEMI_MINOR = createDescriptor(
|
---|
1374 | new NamedIdentifier[] {
|
---|
1375 | new NamedIdentifier(Citations.OGC, "semi_minor"),
|
---|
1376 | new NamedIdentifier(Citations.EPSG, "semi-minor axis")
|
---|
1377 | // EPSG does not specifically define the above parameter
|
---|
1378 | },
|
---|
1379 | Double.NaN, 0, Double.POSITIVE_INFINITY, SI.METER);
|
---|
1380 |
|
---|
1381 | /**
|
---|
1382 | * The operation parameter descriptor for the {@linkplain #centralMeridian central meridian}
|
---|
1383 | * parameter value. Valid values range is from -180 to 180°. Default value is 0.
|
---|
1384 | */
|
---|
1385 | public static final ParameterDescriptor CENTRAL_MERIDIAN = createDescriptor(
|
---|
1386 | new NamedIdentifier[] {
|
---|
1387 | new NamedIdentifier(Citations.OGC, "central_meridian"),
|
---|
1388 | new NamedIdentifier(Citations.EPSG, "Longitude of natural origin"),
|
---|
1389 | new NamedIdentifier(Citations.EPSG, "Longitude of false origin"),
|
---|
1390 | new NamedIdentifier(Citations.EPSG, "Longitude of origin"),
|
---|
1391 | new NamedIdentifier(Citations.ESRI, "Longitude_Of_Center"),
|
---|
1392 | new NamedIdentifier(Citations.ESRI, "longitude_of_center"),
|
---|
1393 | new NamedIdentifier(Citations.ESRI, "Longitude_Of_Origin"),
|
---|
1394 | new NamedIdentifier(Citations.ESRI, "longitude_of_origin"),
|
---|
1395 | new NamedIdentifier(Citations.GEOTIFF, "NatOriginLong")
|
---|
1396 | // ESRI uses "Longitude_Of_Origin" in orthographic (not to
|
---|
1397 | // be confused with "Longitude_Of_Center" in oblique mercator).
|
---|
1398 | },
|
---|
1399 | 0, -180, 180, NonSI.DEGREE_ANGLE);
|
---|
1400 |
|
---|
1401 | /**
|
---|
1402 | * The operation parameter descriptor for the {@linkplain #latitudeOfOrigin latitude of origin}
|
---|
1403 | * parameter value. Valid values range is from -90 to 90°. Default value is 0.
|
---|
1404 | */
|
---|
1405 | public static final ParameterDescriptor LATITUDE_OF_ORIGIN = createDescriptor(
|
---|
1406 | new NamedIdentifier[] {
|
---|
1407 | new NamedIdentifier(Citations.OGC, "latitude_of_origin"),
|
---|
1408 | new NamedIdentifier(Citations.EPSG, "Latitude of false origin"),
|
---|
1409 | new NamedIdentifier(Citations.EPSG, "Latitude of natural origin"),
|
---|
1410 | new NamedIdentifier(Citations.ESRI, "Latitude_Of_Origin"),
|
---|
1411 | new NamedIdentifier(Citations.ESRI, "latitude_of_origin"),
|
---|
1412 | new NamedIdentifier(Citations.ESRI, "Latitude_Of_Center"),
|
---|
1413 | new NamedIdentifier(Citations.ESRI, "latitude_of_center"),
|
---|
1414 | new NamedIdentifier(Citations.GEOTIFF, "NatOriginLat")
|
---|
1415 | // ESRI uses "Latitude_Of_Center" in orthographic.
|
---|
1416 | },
|
---|
1417 | 0, -90, 90, NonSI.DEGREE_ANGLE);
|
---|
1418 |
|
---|
1419 | /**
|
---|
1420 | * The operation parameter descriptor for the standard parallel 1 parameter value.
|
---|
1421 | * Valid values range is from -90 to 90°. Default value is 0.
|
---|
1422 | */
|
---|
1423 | public static final ParameterDescriptor STANDARD_PARALLEL_1 = createDescriptor(
|
---|
1424 | new NamedIdentifier[] {
|
---|
1425 | new NamedIdentifier(Citations.OGC, "standard_parallel_1"),
|
---|
1426 | new NamedIdentifier(Citations.EPSG, "Latitude of 1st standard parallel"),
|
---|
1427 | new NamedIdentifier(Citations.ESRI, "Standard_Parallel_1"),
|
---|
1428 | new NamedIdentifier(Citations.ESRI, "standard_parallel_1"),
|
---|
1429 | new NamedIdentifier(Citations.GEOTIFF, "StdParallel1")
|
---|
1430 | },
|
---|
1431 | 0, -90, 90, NonSI.DEGREE_ANGLE);
|
---|
1432 |
|
---|
1433 | /**
|
---|
1434 | * The operation parameter descriptor for the standard parallel 2 parameter value.
|
---|
1435 | * Valid values range is from -90 to 90°. Default value is 0.
|
---|
1436 | */
|
---|
1437 | public static final ParameterDescriptor STANDARD_PARALLEL_2 = createOptionalDescriptor(
|
---|
1438 | new NamedIdentifier[] {
|
---|
1439 | new NamedIdentifier(Citations.OGC, "standard_parallel_2"),
|
---|
1440 | new NamedIdentifier(Citations.EPSG, "Latitude of 2nd standard parallel"),
|
---|
1441 | new NamedIdentifier(Citations.ESRI, "Standard_Parallel_2"),
|
---|
1442 | new NamedIdentifier(Citations.ESRI, "standard_parallel_2"),
|
---|
1443 | new NamedIdentifier(Citations.GEOTIFF, "StdParallel2")
|
---|
1444 | },
|
---|
1445 | -90, 90, NonSI.DEGREE_ANGLE);
|
---|
1446 |
|
---|
1447 | /**
|
---|
1448 | * The operation parameter descriptor for the {@link #scaleFactor scaleFactor}
|
---|
1449 | * parameter value. Valid values range is from 0 to infinity. Default value is 1.
|
---|
1450 | *
|
---|
1451 | * @todo Would like to start range from 0 <u>exclusive</u>.
|
---|
1452 | */
|
---|
1453 | public static final ParameterDescriptor SCALE_FACTOR = createDescriptor(
|
---|
1454 | new NamedIdentifier[] {
|
---|
1455 | new NamedIdentifier(Citations.OGC, "scale_factor"),
|
---|
1456 | new NamedIdentifier(Citations.EPSG, "Scale factor at natural origin"),
|
---|
1457 | new NamedIdentifier(Citations.EPSG, "Scale factor on initial line"),
|
---|
1458 | new NamedIdentifier(Citations.GEOTIFF, "ScaleAtNatOrigin"),
|
---|
1459 | new NamedIdentifier(Citations.GEOTIFF, "ScaleAtCenter"),
|
---|
1460 | new NamedIdentifier(Citations.ESRI, "Scale_Factor"),
|
---|
1461 | new NamedIdentifier(Citations.ESRI, "scale_factor"),
|
---|
1462 | },
|
---|
1463 | 1, 0, Double.POSITIVE_INFINITY, Unit.ONE);
|
---|
1464 |
|
---|
1465 | /**
|
---|
1466 | * The operation parameter descriptor for the {@link #falseEasting falseEasting}
|
---|
1467 | * parameter value. Valid values range is unrestricted. Default value is 0.
|
---|
1468 | */
|
---|
1469 | public static final ParameterDescriptor FALSE_EASTING = createDescriptor(
|
---|
1470 | new NamedIdentifier[] {
|
---|
1471 | new NamedIdentifier(Citations.OGC, "false_easting"),
|
---|
1472 | new NamedIdentifier(Citations.EPSG, "False easting"),
|
---|
1473 | new NamedIdentifier(Citations.EPSG, "Easting at false origin"),
|
---|
1474 | new NamedIdentifier(Citations.EPSG, "Easting at projection centre"),
|
---|
1475 | new NamedIdentifier(Citations.GEOTIFF, "FalseEasting"),
|
---|
1476 | new NamedIdentifier(Citations.ESRI, "false_easting")
|
---|
1477 | },
|
---|
1478 | 0, Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, SI.METER);
|
---|
1479 |
|
---|
1480 | /**
|
---|
1481 | * The operation parameter descriptor for the {@link #falseNorthing falseNorthing}
|
---|
1482 | * parameter value. Valid values range is unrestricted. Default value is 0.
|
---|
1483 | */
|
---|
1484 | public static final ParameterDescriptor FALSE_NORTHING = createDescriptor(
|
---|
1485 | new NamedIdentifier[] {
|
---|
1486 | new NamedIdentifier(Citations.OGC, "false_northing"),
|
---|
1487 | new NamedIdentifier(Citations.EPSG, "False northing"),
|
---|
1488 | new NamedIdentifier(Citations.EPSG, "Northing at false origin"),
|
---|
1489 | new NamedIdentifier(Citations.EPSG, "Northing at projection centre"),
|
---|
1490 | new NamedIdentifier(Citations.GEOTIFF, "FalseNorthing"),
|
---|
1491 | new NamedIdentifier(Citations.ESRI, "False_Northing"),
|
---|
1492 | new NamedIdentifier(Citations.ESRI, "false_northing")
|
---|
1493 | },
|
---|
1494 | 0, Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY, SI.METER);
|
---|
1495 |
|
---|
1496 | /**
|
---|
1497 | * Constructs a math transform provider from a set of parameters. The provider
|
---|
1498 | * {@linkplain #getIdentifiers identifiers} will be the same than the parameter
|
---|
1499 | * ones.
|
---|
1500 | *
|
---|
1501 | * @param parameters The set of parameters (never {@code null}).
|
---|
1502 | */
|
---|
1503 | public AbstractProvider(final ParameterDescriptorGroup parameters) {
|
---|
1504 | super(2, 2, parameters);
|
---|
1505 | }
|
---|
1506 |
|
---|
1507 | /**
|
---|
1508 | * Returns the operation type for this map projection.
|
---|
1509 | */
|
---|
1510 | @Override
|
---|
1511 | public Class<? extends Projection> getOperationType() {
|
---|
1512 | return Projection.class;
|
---|
1513 | }
|
---|
1514 |
|
---|
1515 | /**
|
---|
1516 | * Returns {@code true} is the parameters use a spherical datum.
|
---|
1517 | */
|
---|
1518 | static boolean isSpherical(final ParameterValueGroup values) {
|
---|
1519 | try {
|
---|
1520 | return doubleValue(SEMI_MAJOR, values) == doubleValue(SEMI_MINOR, values);
|
---|
1521 | } catch (IllegalStateException exception) {
|
---|
1522 | // Probably could not find the requested values -- gobble error and be forgiving.
|
---|
1523 | // The error will probably be thrown at MapProjection construction time, which is
|
---|
1524 | // less surprising to some users.
|
---|
1525 | return false;
|
---|
1526 | }
|
---|
1527 | }
|
---|
1528 |
|
---|
1529 | /**
|
---|
1530 | * Returns the parameter value for the specified operation parameter in standard units.
|
---|
1531 | * Values are automatically converted into the standard units specified by the supplied
|
---|
1532 | * {@code param} argument, except {@link NonSI#DEGREE_ANGLE degrees} which are converted
|
---|
1533 | * to {@link SI#RADIAN radians}. This conversion is performed because the radians units
|
---|
1534 | * are standard for all internal computations in the map projection package. For example
|
---|
1535 | * they are the standard units for {@link MapProjection#latitudeOfOrigin latitudeOfOrigin}
|
---|
1536 | * and {@link MapProjection#centralMeridian centralMeridian} fields in the
|
---|
1537 | * {@link MapProjection} class.
|
---|
1538 | *
|
---|
1539 | * @param param The parameter to look for.
|
---|
1540 | * @param group The parameter value group to search into.
|
---|
1541 | * @return The requested parameter value.
|
---|
1542 | * @throws ParameterNotFoundException if the parameter is not found.
|
---|
1543 | */
|
---|
1544 | protected static double doubleValue(final ParameterDescriptor param,
|
---|
1545 | final ParameterValueGroup group)
|
---|
1546 | throws ParameterNotFoundException
|
---|
1547 | {
|
---|
1548 | double v = MathTransformProvider.doubleValue(param, group);
|
---|
1549 | if (NonSI.DEGREE_ANGLE.equals(param.getUnit())) {
|
---|
1550 | v = toRadians(v);
|
---|
1551 | }
|
---|
1552 | return v;
|
---|
1553 | }
|
---|
1554 | }
|
---|
1555 | }
|
---|