/*
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.geom.*;
import com.jhlabs.map.*;
/**
* Oblique Mercator Projection algorithm is taken from the USGS PROJ package.
*
* Bernhard Jenny, 23 September 2010: changed super class to Cylindrical
*/
public class ObliqueMercatorProjection extends CylindricalProjection {
private final static double TOL = 1.0e-7;
private double alpha, lamc, lam1, phi1, lam2, phi2, Gamma, al, bl, el, singam, cosgam, sinrot, cosrot, u_0;
private boolean ellips, rot;
public ObliqueMercatorProjection() {
ellipsoid = Ellipsoid.WGS_1984;
projectionLatitude = Math.toRadians(0);
projectionLongitude = Math.toRadians(0);
minLongitude = Math.toRadians(-60);
maxLongitude = Math.toRadians(60);
minLatitude = Math.toRadians(-80);
maxLatitude = Math.toRadians(80);
alpha = Math.toRadians(-45);//FIXME
initialize();
}
/**
* Set up a projection suitable for State Plane Coordinates.
*/
public ObliqueMercatorProjection(Ellipsoid ellipsoid, double lon_0, double lat_0, double alpha, double k, double x_0, double y_0) {
setEllipsoid(ellipsoid);
lamc = lon_0;
projectionLatitude = lat_0;
this.alpha = alpha;
scaleFactor = k;
falseEasting = x_0;
falseNorthing = y_0;
initialize();
}
public void initialize() {
super.initialize();
double con, com, cosphi0, d, f, h, l, sinphi0, p, j;
int azi = 1;//FIXME-param
//FIXME-setup rot, alpha, longc,lon/lat1/2
rot = true;
if (azi != 0) {//alpha specified
if (Math.abs(alpha) <= TOL
|| Math.abs(Math.abs(projectionLatitude) - MapMath.HALFPI) <= TOL
|| Math.abs(Math.abs(alpha) - MapMath.HALFPI) <= TOL) {
throw new ProjectionException("Obl 1");
}
} else {
if (Math.abs(phi1 - phi2) <= TOL
|| (con = Math.abs(phi1)) <= TOL
|| Math.abs(con - MapMath.HALFPI) <= TOL
|| Math.abs(Math.abs(projectionLatitude) - MapMath.HALFPI) <= TOL
|| Math.abs(Math.abs(phi2) - MapMath.HALFPI) <= TOL) {
throw new ProjectionException("Obl 2");
}
}
com = (spherical = es == 0.) ? 1 : Math.sqrt(one_es);
if (Math.abs(projectionLatitude) > EPS10) {
sinphi0 = Math.sin(projectionLatitude);
cosphi0 = Math.cos(projectionLatitude);
if (!spherical) {
con = 1. - es * sinphi0 * sinphi0;
bl = cosphi0 * cosphi0;
bl = Math.sqrt(1. + es * bl * bl / one_es);
al = bl * scaleFactor * com / con;
d = bl * com / (cosphi0 * Math.sqrt(con));
} else {
bl = 1.;
al = scaleFactor;
d = 1. / cosphi0;
}
if ((f = d * d - 1.) <= 0.) {
f = 0.;
} else {
f = Math.sqrt(f);
if (projectionLatitude < 0.) {
f = -f;
}
}
el = f += d;
if (!spherical) {
el *= Math.pow(MapMath.tsfn(projectionLatitude, sinphi0, e), bl);
} else {
el *= Math.tan(.5 * (MapMath.HALFPI - projectionLatitude));
}
} else {
bl = 1. / com;
al = scaleFactor;
el = d = f = 1.;
}
if (azi != 0) {
Gamma = Math.asin(Math.sin(alpha) / d);
projectionLongitude = lamc - Math.asin((.5 * (f - 1. / f))
* Math.tan(Gamma)) / bl;
} else {
if (!spherical) {
h = Math.pow(MapMath.tsfn(phi1, Math.sin(phi1), e), bl);
l = Math.pow(MapMath.tsfn(phi2, Math.sin(phi2), e), bl);
} else {
h = Math.tan(.5 * (MapMath.HALFPI - phi1));
l = Math.tan(.5 * (MapMath.HALFPI - phi2));
}
f = el / h;
p = (l - h) / (l + h);
j = el * el;
j = (j - l * h) / (j + l * h);
if ((con = lam1 - lam2) < -Math.PI) {
lam2 -= MapMath.TWOPI;
} else if (con > Math.PI) {
lam2 += MapMath.TWOPI;
}
projectionLongitude = MapMath.normalizeLongitude(.5 * (lam1 + lam2) - Math.atan(
j * Math.tan(.5 * bl * (lam1 - lam2)) / p) / bl);
Gamma = Math.atan(2. * Math.sin(bl * MapMath.normalizeLongitude(lam1 - projectionLongitude))
/ (f - 1. / f));
alpha = Math.asin(d * Math.sin(Gamma));
}
singam = Math.sin(Gamma);
cosgam = Math.cos(Gamma);
// f = MapMath.param(params, "brot_conv").i ? Gamma : alpha;
f = alpha;//FIXME
sinrot = Math.sin(f);
cosrot = Math.cos(f);
// u_0 = MapMath.param(params, "bno_uoff").i ? 0. :
u_0 = false ? 0. ://FIXME
Math.abs(al * Math.atan(Math.sqrt(d * d - 1.) / cosrot) / bl);
if (projectionLatitude < 0.) {
u_0 = -u_0;
}
}
public Point2D.Double project(double lam, double phi, Point2D.Double xy) {
double con, q, s, ul, us, vl, vs;
vl = Math.sin(bl * lam);
if (Math.abs(Math.abs(phi) - MapMath.HALFPI) <= EPS10) {
ul = phi < 0. ? -singam : singam;
us = al * phi / bl;
} else {
q = el / (!spherical ? Math.pow(MapMath.tsfn(phi, Math.sin(phi), e), bl)
: Math.tan(.5 * (MapMath.HALFPI - phi)));
s = .5 * (q - 1. / q);
ul = 2. * (s * singam - vl * cosgam) / (q + 1. / q);
con = Math.cos(bl * lam);
if (Math.abs(con) >= TOL) {
us = al * Math.atan((s * cosgam + vl * singam) / con) / bl;
if (con < 0.) {
us += Math.PI * al / bl;
}
} else {
us = al * bl * lam;
}
}
if (Math.abs(Math.abs(ul) - 1.) <= EPS10) {
throw new ProjectionException("Obl 3");
}
vs = .5 * al * Math.log((1. - ul) / (1. + ul)) / bl;
us -= u_0;
if (!rot) {
xy.x = us;
xy.y = vs;
} else {
xy.x = vs * cosrot + us * sinrot;
xy.y = us * cosrot - vs * sinrot;
}
return xy;
}
public Point2D.Double projectInverse(double x, double y, Point2D.Double lp) {
double q, s, ul, us, vl, vs;
if (!rot) {
us = x;
vs = y;
} else {
vs = x * cosrot - y * sinrot;
us = y * cosrot + x * sinrot;
}
us += u_0;
q = Math.exp(-bl * vs / al);
s = .5 * (q - 1. / q);
vl = Math.sin(bl * us / al);
ul = 2. * (vl * cosgam + s * singam) / (q + 1. / q);
if (Math.abs(Math.abs(ul) - 1.) < EPS10) {
lp.x = 0.;
lp.y = ul < 0. ? -MapMath.HALFPI : MapMath.HALFPI;
} else {
lp.y = el / Math.sqrt((1. + ul) / (1. - ul));
if (!spherical) {
lp.y = MapMath.phi2(Math.pow(lp.y, 1. / bl), e);
} else {
lp.y = MapMath.HALFPI - 2. * Math.atan(lp.y);
}
lp.x = -Math.atan2((s * cosgam
- vl * singam), Math.cos(bl * us / al)) / bl;
}
return lp;
}
public boolean hasInverse() {
return true;
}
public String toString() {
return "Oblique Mercator";
}
}