/*
Copyright 2006 Jerry Huxtable
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
/*
* This file was semi-automatically converted from the public-domain USGS PROJ source.
*/
package com.jhlabs.map.proj;
import java.awt.*;
import java.awt.geom.*;
import com.jhlabs.map.*;
public class EquidistantAzimuthalProjection extends AzimuthalProjection {
private final static double TOL = 1.e-8;
private int mode;
private double[] en;
private double M1;
private double N1;
private double Mp;
private double He;
private double G;
private double sinphi0, cosphi0;
public EquidistantAzimuthalProjection() {
this(Math.toRadians(90.0), Math.toRadians(0.0));
}
public EquidistantAzimuthalProjection(double projectionLatitude, double projectionLongitude) {
super(projectionLatitude, projectionLongitude);
initialize();
}
public Object clone() {
EquidistantAzimuthalProjection p = (EquidistantAzimuthalProjection)super.clone();
if (en != null)
p.en = (double[])en.clone();
return p;
}
public void initialize() {
super.initialize();
if (Math.abs(Math.abs(projectionLatitude) - MapMath.HALFPI) < EPS10) {
mode = projectionLatitude < 0. ? SOUTH_POLE : NORTH_POLE;
sinphi0 = projectionLatitude < 0. ? -1. : 1.;
cosphi0 = 0.;
} else if (Math.abs(projectionLatitude) < EPS10) {
mode = EQUATOR;
sinphi0 = 0.;
cosphi0 = 1.;
} else {
mode = OBLIQUE;
sinphi0 = Math.sin(projectionLatitude);
cosphi0 = Math.cos(projectionLatitude);
}
if (!spherical) {
en = MapMath.enfn(es);
switch (mode) {
case NORTH_POLE:
Mp = MapMath.mlfn(MapMath.HALFPI, 1., 0., en);
break;
case SOUTH_POLE:
Mp = MapMath.mlfn(-MapMath.HALFPI, -1., 0., en);
break;
case EQUATOR:
case OBLIQUE:
N1 = 1. / Math.sqrt(1. - es * sinphi0 * sinphi0);
G = sinphi0 * (He = e / Math.sqrt(one_es));
He *= cosphi0;
break;
}
}
}
public Point2D.Double project(double lam, double phi, Point2D.Double xy) {
if (spherical) {
double coslam, cosphi, sinphi;
sinphi = Math.sin(phi);
cosphi = Math.cos(phi);
coslam = Math.cos(lam);
switch (mode) {
case EQUATOR:
case OBLIQUE:
if (mode == EQUATOR)
xy.y = cosphi * coslam;
else
xy.y = sinphi0 * sinphi + cosphi0 * cosphi * coslam;
if (Math.abs(Math.abs(xy.y) - 1.) < TOL)
if (xy.y < 0.)
throw new ProjectionException();
else
xy.x = xy.y = 0.;
else {
xy.y = Math.acos(xy.y);
xy.y /= Math.sin(xy.y);
xy.x = xy.y * cosphi * Math.sin(lam);
xy.y *= (mode == EQUATOR) ? sinphi :
cosphi0 * sinphi - sinphi0 * cosphi * coslam;
}
break;
case NORTH_POLE:
phi = -phi;
coslam = -coslam;
case SOUTH_POLE:
if (Math.abs(phi - MapMath.HALFPI) < EPS10)
throw new ProjectionException();
xy.x = (xy.y = (MapMath.HALFPI + phi)) * Math.sin(lam);
xy.y *= coslam;
break;
}
} else {
double coslam, cosphi, sinphi, rho, s, H, H2, c, Az, t, ct, st, cA, sA;
coslam = Math.cos(lam);
cosphi = Math.cos(phi);
sinphi = Math.sin(phi);
switch (mode) {
case NORTH_POLE:
coslam = - coslam;
case SOUTH_POLE:
xy.x = (rho = Math.abs(Mp - MapMath.mlfn(phi, sinphi, cosphi, en))) *
Math.sin(lam);
xy.y = rho * coslam;
break;
case EQUATOR:
case OBLIQUE:
if (Math.abs(lam) < EPS10 && Math.abs(phi - projectionLatitude) < EPS10) {
xy.x = xy.y = 0.;
break;
}
t = Math.atan2(one_es * sinphi + es * N1 * sinphi0 *
Math.sqrt(1. - es * sinphi * sinphi), cosphi);
ct = Math.cos(t); st = Math.sin(t);
Az = Math.atan2(Math.sin(lam) * ct, cosphi0 * st - sinphi0 * coslam * ct);
cA = Math.cos(Az); sA = Math.sin(Az);
s = MapMath.asin( Math.abs(sA) < TOL ?
(cosphi0 * st - sinphi0 * coslam * ct) / cA :
Math.sin(lam) * ct / sA );
H = He * cA;
H2 = H * H;
c = N1 * s * (1. + s * s * (- H2 * (1. - H2)/6. +
s * ( G * H * (1. - 2. * H2 * H2) / 8. +
s * ((H2 * (4. - 7. * H2) - 3. * G * G * (1. - 7. * H2)) /
120. - s * G * H / 48.))));
xy.x = c * sA;
xy.y = c * cA;
break;
}
}
return xy;
}
public Point2D.Double projectInverse(double x, double y, Point2D.Double lp) {
if (spherical) {
double cosc, c_rh, sinc;
if ((c_rh = MapMath.distance(x, y)) > Math.PI) {
if (c_rh - EPS10 > Math.PI)
throw new ProjectionException();
c_rh = Math.PI;
} else if (c_rh < EPS10) {
lp.y = projectionLatitude;
lp.x = 0.;
return lp;
}
if (mode == OBLIQUE || mode == EQUATOR) {
sinc = Math.sin(c_rh);
cosc = Math.cos(c_rh);
if (mode == EQUATOR) {
lp.y = MapMath.asin(y * sinc / c_rh);
x *= sinc;
y = cosc * c_rh;
} else {
lp.y = MapMath.asin(cosc * sinphi0 + y * sinc * cosphi0 /
c_rh);
y = (cosc - sinphi0 * Math.sin(lp.y)) * c_rh;
x *= sinc * cosphi0;
}
lp.x = y == 0. ? 0. : Math.atan2(x, y);
} else if (mode == NORTH_POLE) {
lp.y = MapMath.HALFPI - c_rh;
lp.x = Math.atan2(x, -y);
} else {
lp.y = c_rh - MapMath.HALFPI;
lp.x = Math.atan2(x, y);
}
} else {
double c, Az, cosAz, A, B, D, E, F, psi, t;
int i;
if ((c = MapMath.distance(x, y)) < EPS10) {
lp.y = projectionLatitude;
lp.x = 0.;
return (lp);
}
if (mode == OBLIQUE || mode == EQUATOR) {
cosAz = Math.cos(Az = Math.atan2(x, y));
t = cosphi0 * cosAz;
B = es * t / one_es;
A = - B * t;
B *= 3. * (1. - A) * sinphi0;
D = c / N1;
E = D * (1. - D * D * (A * (1. + A) / 6. + B * (1. + 3.*A) * D / 24.));
F = 1. - E * E * (A / 2. + B * E / 6.);
psi = MapMath.asin(sinphi0 * Math.cos(E) + t * Math.sin(E));
lp.x = MapMath.asin(Math.sin(Az) * Math.sin(E) / Math.cos(psi));
if ((t = Math.abs(psi)) < EPS10)
lp.y = 0.;
else if (Math.abs(t - MapMath.HALFPI) < 0.)
lp.y = MapMath.HALFPI;
else
lp.y = Math.atan((1. - es * F * sinphi0 / Math.sin(psi)) * Math.tan(psi) / one_es);
} else {
lp.y = MapMath.inv_mlfn(mode == NORTH_POLE ? Mp - c : Mp + c, es, en);
lp.x = Math.atan2(x, mode == NORTH_POLE ? -y : y);
}
}
return lp;
}
public Shape getBoundingShape() {
double r = MapMath.HALFPI * a;
return new Ellipse2D.Double( -r, -r, 2*r, 2*r );
}
public boolean hasInverse() {
return true;
}
public String toString() {
return "Equidistant Azimuthal";
}
}