/*
* GeoTools - The Open Source Java GIS Toolkit
* http://geotools.org
*
* (C) 2003-2008, Open Source Geospatial Foundation (OSGeo)
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation;
* version 2.1 of the License.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*/
package org.geotools.referencing.operation.projection;
import org.opengis.referencing.FactoryException;
import org.opengis.referencing.cs.AxisDirection;
import org.opengis.referencing.crs.CoordinateReferenceSystem;
import org.opengis.referencing.crs.ProjectedCRS;
import org.opengis.referencing.operation.Matrix;
import org.opengis.referencing.operation.MathTransform;
import org.geotools.referencing.CRS;
import org.geotools.referencing.operation.LinearTransform;
import org.geotools.referencing.operation.transform.ConcatenatedTransform;
import org.junit.*;
import static org.junit.Assert.*;
/**
* Tests some south-oriented map projections.
*
* @source $URL$
* @version $Id$
* @author Martin Desruisseaux
*/
public final class SouthOrientedTest {
/**
* Small number for matrix element comparaisons.
*/
private static final double EPS = 1E-10;
/**
* Parse a test CRS north or south oriented. If the CRS is fully south-oriented
* with 0.0 northing, then it should be the EPSG:22285 one.
*/
private static ProjectedCRS parseTransverseMercator(
final boolean methodSouth, final boolean axisSouth, final double northing)
throws FactoryException
{
final String method =
methodSouth ? "Transverse Mercator (South Orientated)" : "Transverse Mercator";
final String axis =
axisSouth ? "\"Southing\", SOUTH" : "\"Northing\", NORTH";
return (ProjectedCRS) CRS.parseWKT(
"PROJCS[\"South African Coordinate System zone 25\", " +
"GEOGCS[\"Cape\", " +
"DATUM[\"Cape\", " +
"SPHEROID[\"Clarke 1880 (Arc)\", 6378249.145, 293.4663077, AUTHORITY[\"EPSG\",\"7013\"]], " +
"TOWGS84[-136.0, -108.0, -292.0, 0.0, 0.0, 0.0, 0.0], " +
"AUTHORITY[\"EPSG\",\"6222\"]], " +
"PRIMEM[\"Greenwich\", 0.0, AUTHORITY[\"EPSG\",\"8901\"]], " +
"UNIT[\"degree\", 0.017453292519943295], " +
"AXIS[\"Geodetic latitude\", NORTH], " +
"AXIS[\"Geodetic longitude\", EAST], " +
"AUTHORITY[\"EPSG\",\"4222\"]], " +
"PROJECTION[\"" + method + "\"], " +
"PARAMETER[\"central_meridian\", 25.0], " +
"PARAMETER[\"latitude_of_origin\", 0.0], " +
"PARAMETER[\"scale_factor\", 1.0], " +
"PARAMETER[\"false_easting\", 0.0], " +
"PARAMETER[\"false_northing\", " + northing + "], " +
"UNIT[\"m\", 1.0], " +
"AXIS[\"Westing\", WEST], " +
"AXIS[" + axis + "]]");
}
/**
* Tests the Transverse Mercator South-Oriented case.
*/
@Test
public void testTransverseMercator() throws FactoryException {
/*
* Tests "Transverse Mercator" (not south-oriented) with an axis oriented toward south.
*/
ProjectedCRS north = parseTransverseMercator(false, false, 1000);
assertEquals(AxisDirection.WEST, north.getCoordinateSystem().getAxis(0).getDirection());
assertEquals(AxisDirection.NORTH, north.getCoordinateSystem().getAxis(1).getDirection());
ProjectedCRS south = parseTransverseMercator(false, true, 1000);
assertEquals(AxisDirection.WEST, south.getCoordinateSystem().getAxis(0).getDirection());
assertEquals(AxisDirection.SOUTH, south.getCoordinateSystem().getAxis(1).getDirection());
MathTransform transform = CRS.findMathTransform(north, south);
assertTrue(transform instanceof LinearTransform);
Matrix matrix = ((LinearTransform) transform).getMatrix();
assertDiagonal(matrix);
assertFalse(matrix.isIdentity());
assertEquals("West direction should be unchanged. ", +1, matrix.getElement(0,0), EPS);
assertEquals("North-South direction should be reverted.", -1, matrix.getElement(1,1), EPS);
assertEquals("No easting expected.", 0, matrix.getElement(0,2), EPS);
assertEquals("No northing expected.", 0, matrix.getElement(1,2), EPS);
/*
* Tests "Transverse Mercator South Oriented"
*/
south = parseTransverseMercator(true, true, 1000);
assertEquals(AxisDirection.WEST, south.getCoordinateSystem().getAxis(0).getDirection());
assertEquals(AxisDirection.SOUTH, south.getCoordinateSystem().getAxis(1).getDirection());
transform = CRS.findMathTransform(north, south);
assertTrue(transform instanceof LinearTransform);
matrix = ((LinearTransform) transform).getMatrix();
assertDiagonal(matrix);
assertFalse(matrix.isIdentity());
assertEquals("West direction should be unchanged. ", +1, matrix.getElement(0,0), EPS);
assertEquals("North-South direction should be reverted.", -1, matrix.getElement(1,1), EPS);
assertEquals("No easting expected.", 0, matrix.getElement(0,2), EPS);
assertEquals("No northing expected.", 0, matrix.getElement(1,2), EPS);
/*
* Tries with a different northing.
*/
north = parseTransverseMercator(false, false, 3000);
transform = CRS.findMathTransform(north, south);
assertTrue(transform instanceof LinearTransform);
matrix = ((LinearTransform) transform).getMatrix();
assertFalse(matrix.isIdentity());
assertEquals("West direction should be unchanged. ", +1, matrix.getElement(0,0), EPS);
assertEquals("North-South direction should be reverted.", -1, matrix.getElement(1,1), EPS);
assertEquals("No easting expected.", 0, matrix.getElement(0,2), EPS);
assertEquals("Northing expected.", 2000, matrix.getElement(1,2), EPS);
}
/**
* Tests a Krovak projection with (SOUTH,WEST) axis.
*/
@Test
public void testKrovak() throws FactoryException {
final String geoWKT =
"GEOGCS[\"S-JTSK (Ferro)\", " +
"DATUM[\"S_JTSK_Ferro\", " +
"SPHEROID[\"Bessel 1841\", 6377397.155, 299.1528128], " +
"TOWGS84[570.8,85.7,462.8,4.998,1.587,5.261,3.56]], " +
"PRIMEM[\"Greenwich\",0], " +
"UNIT[\"degree\",0.0174532925199433]]";
final String prjWKT =
"PROJCS[\"S-JTSK(Ferro) / krovak\", " + geoWKT + ", " +
"PROJECTION[\"Krovak\"], " +
"UNIT[\"metre\",1.0], " +
"AXIS[\"y\",WEST], " +
"AXIS[\"x\",SOUTH]]";
final CoordinateReferenceSystem sourceCRS = CRS.parseWKT(geoWKT);
final CoordinateReferenceSystem targetCRS = CRS.parseWKT(prjWKT);
final MathTransform transform = CRS.findMathTransform(sourceCRS, targetCRS);
assertTrue(transform instanceof ConcatenatedTransform);
final ConcatenatedTransform ct = (ConcatenatedTransform) transform;
assertTrue(ct.transform2 instanceof LinearTransform);
final Matrix matrix = ((LinearTransform) ct.transform2).getMatrix();
assertDiagonal(matrix);
assertEquals("East-West direction should be reverted. ", -1, matrix.getElement(0,0), EPS);
assertEquals("North-South direction should be reverted.", -1, matrix.getElement(1,1), EPS);
assertEquals("No easting expected.", 0, matrix.getElement(0,2), EPS);
assertEquals("No northing expected.", 0, matrix.getElement(1,2), EPS);
}
/**
* Asserts that the specified matrix is diagonal.
*/
private static void assertDiagonal(final Matrix matrix) {
final int nrow = matrix.getNumRow();
final int ncol = matrix.getNumCol();
for (int j=0; j<nrow; j++) {
for (int i=0; i<ncol; i++) {
if (i != j) {
assertEquals("row "+j+", col "+i, 0.0, matrix.getElement(j, i), EPS);
}
}
}
}
}