public ProjCoordinate project(double lplam, double lpphi, ProjCoordinate xy) {
if (spherical) {
xy.x = Math.asin(Math.cos(lpphi) * Math.sin(lplam));
xy.y = Math.atan2(Math.tan(lpphi), Math.cos(lplam)) - projectionLatitude;
} else {
xy.y = ProjectionMath.mlfn(lpphi, n = Math.sin(lpphi), c = Math.cos(lpphi), en);
n = 1. / Math.sqrt(1. - es * n * n);
tn = Math.tan(lpphi);
t = tn * tn;
a1 = lplam * c;
c *= es * c / (1 - es);
a2 = a1 * a1;
xy.x = n * a1 * (1. - a2 * t * (C1 - (8. - t + 8. * c) * a2 * C2));
xy.y -= m0 - n * tn * a2 * (.5 + (5. - t + 6. * c) * a2 * C3);
}
return xy;
}
public ProjCoordinate projectInverse(double xyx, double xyy, ProjCoordinate out) {
if (spherical) {
out.y = Math.asin(Math.sin(dd = xyy + projectionLatitude) * Math.cos(xyx));
out.x = Math.atan2(Math.tan(xyx), Math.cos(dd));
} else {
double ph1;
ph1 = ProjectionMath.inv_mlfn(m0 + xyy, es, en);
tn = Math.tan(ph1);
t = tn * tn;
n = Math.sin(ph1);
r = 1. / (1. - es * n * n);
n = Math.sqrt(r);
r *= (1. - es) * n;
dd = xyx / n;
d2 = dd * dd;
out.y = ph1 - (n * tn / r) * d2 * (.5 - (1. + 3. * t) * d2 * C3);
out.x = dd * (1. + t * d2 * (-C4 + (1. + 3. * t) * d2 * C5)) / Math.cos(ph1);
}
return out;
}
public ProjCoordinate projectInverse(double x, double y, ProjCoordinate lp) {
if (spherical) {
double c, rh, sinc, cosc;
sinc = Math.sin(c = 2. * Math.atan((rh = ProjectionMath.distance(x, y)) / akm1));
cosc = Math.cos(c);
lp.x = 0.;
switch (mode) {
case EQUATOR:
if (Math.abs(rh) <= EPS10) lp.y = 0.;
else lp.y = Math.asin(y * sinc / rh);
if (cosc != 0. || x != 0.) lp.x = Math.atan2(x * sinc, cosc * rh);
break;
case OBLIQUE:
if (Math.abs(rh) <= EPS10) lp.y = projectionLatitude;
else lp.y = Math.asin(cosc * sinphi0 + y * sinc * cosphi0 / rh);
if ((c = cosc - sinphi0 * Math.sin(lp.y)) != 0. || x != 0.)
lp.x = Math.atan2(x * sinc * cosphi0, c * rh);
break;
case NORTH_POLE:
y = -y;
case SOUTH_POLE:
if (Math.abs(rh) <= EPS10) lp.y = projectionLatitude;
else lp.y = Math.asin(mode == SOUTH_POLE ? -cosc : cosc);
lp.x = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y);
break;
}
} else {
double cosphi, sinphi, tp, phi_l, rho, halfe, halfpi;
rho = ProjectionMath.distance(x, y);
switch (mode) {
case OBLIQUE:
case EQUATOR:
default: // To prevent the compiler complaining about uninitialized vars.
cosphi = Math.cos(tp = 2. * Math.atan2(rho * cosphi0, akm1));
sinphi = Math.sin(tp);
phi_l = Math.asin(cosphi * sinphi0 + (y * sinphi * cosphi0 / rho));
tp = Math.tan(.5 * (ProjectionMath.HALFPI + phi_l));
x *= sinphi;
y = rho * cosphi0 * cosphi - y * sinphi0 * sinphi;
halfpi = ProjectionMath.HALFPI;
halfe = .5 * e;
break;
case NORTH_POLE:
y = -y;
case SOUTH_POLE:
phi_l = ProjectionMath.HALFPI - 2. * Math.atan(tp = -rho / akm1);
halfpi = -ProjectionMath.HALFPI;
halfe = -.5 * e;
break;
}
for (int i = 8; i-- != 0; phi_l = lp.y) {
sinphi = e * Math.sin(phi_l);
lp.y = 2. * Math.atan(tp * Math.pow((1. + sinphi) / (1. - sinphi), halfe)) - halfpi;
if (Math.abs(phi_l - lp.y) < EPS10) {
if (mode == SOUTH_POLE) lp.y = -lp.y;
lp.x = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y);
return lp;
}
}
throw new ConvergenceFailureException("Iteration didn't converge");
}
return lp;
}