Mercator: Article example implementation of mercator projections.
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package com.baeldung.mercator;
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class EllipticalMercator extends Mercator {
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@Override
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double yAxisProjection(double input) {
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if (input > 89.5) {
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input = 89.5;
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}
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if (input < -89.5) {
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input = -89.5;
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}
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double temp = RADIUS_MINOR / RADIUS_MAJOR;
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double es = 1.0 - (temp * temp);
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double eccent = Math.sqrt(es);
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double phi = Math.toRadians(input);
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double sinphi = Math.sin(phi);
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double con = eccent * sinphi;
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double com = 0.5 * eccent;
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con = Math.pow(((1.0 - con)/(1.0+con)), com);
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double ts = Math.tan(0.5 * ((Math.PI*0.5) - phi))/con;
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double y = 0 - RADIUS_MAJOR * Math.log(ts);
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return y;
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}
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@Override
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double xAxisProjection(double input) {
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return RADIUS_MAJOR * Math.toRadians(input);
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}
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}
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package com.baeldung.mercator;
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abstract class Mercator {
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final static double RADIUS_MAJOR = 6378137.0;
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final static double RADIUS_MINOR = 6356752.3142;
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abstract double yAxisProjection(double input);
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abstract double xAxisProjection(double input);
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}
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package com.baeldung.mercator;
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public class SphericalMercator extends Mercator {
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@Override
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double yAxisProjection(double input) {
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return Math.toRadians(input) * RADIUS_MAJOR;
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}
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@Override
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double xAxisProjection(double input) {
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return Math.log(Math.tan(Math.PI / 4 + Math.toRadians(input) / 2)) * RADIUS_MAJOR;
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}
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}
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package com.baeldung.mercator;
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import org.junit.Test;
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import org.junit.runner.RunWith;
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import org.mockito.junit.MockitoJUnitRunner;
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import static junit.framework.TestCase.assertEquals;
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@RunWith(MockitoJUnitRunner.class)
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public class EllipticalMercatorUnitTest {
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@Test
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public void giventThatTheInputIs22_whenXAxisProjectionIsCalled_thenTheResultIsTheCorrectOne() {
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Mercator mercator = new EllipticalMercator();
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double result = mercator.xAxisProjection(22);
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assertEquals(result, 2449028.7974520186);
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}
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@Test
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public void giventThatTheInputIs44_whenYAxisProjectionIsCalled_thenTheResultIsTheCorrectOne() {
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Mercator mercator = new EllipticalMercator();
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double result = mercator.yAxisProjection(44);
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assertEquals(result, 5435749.887511954);
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}
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}
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package com.baeldung.mercator;
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import org.junit.Test;
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import org.junit.runner.RunWith;
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import org.mockito.junit.MockitoJUnitRunner;
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import static junit.framework.TestCase.assertEquals;
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@RunWith(MockitoJUnitRunner.class)
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public class SphericalMercatorUnitTest {
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@Test
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public void giventThatTheInputIs22_whenXAxisProjectionIsCalled_thenTheResultIsTheCorrectOne() {
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Mercator mercator = new SphericalMercator();
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double result = mercator.xAxisProjection(22);
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assertEquals(result, 2511525.234845713);
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}
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@Test
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public void giventThatTheInputIs44_whenYAxisProjectionIsCalled_thenTheResultIsTheCorrectOne() {
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Mercator mercator = new SphericalMercator();
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double result = mercator.yAxisProjection(44);
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assertEquals(result, 4898057.594904037);
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}
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}
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