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/***********************************************/
/**
* @file ellipsoid.cpp
*
* @brief Transformation of ellipsoidial coordinates.
*
* @author Torsten Mayer-Guerr
* @date 2004-10-25
*
*/
/***********************************************/
#include "base/importStd.h"
#include "base/ellipsoid.h"
/***********************************************/
void Ellipsoid::operator()(const Vector3d &point, Angle &L, Angle &B, Double &h) const
{
if(point.quadsum() == 0.)
throw(Exception("In Ellipsoid:\n0 Vector"));
const Double e2 = sqrt((_a/_b-1)*(_a/_b+1));
const Double z = point.z();
const Double rho = std::sqrt(point.x()*point.x()+point.y()*point.y());
// start values
L = (rho != 0.) ? point.lambda() : Angle(0);
B = Angle(std::atan2(z*(1+e2*e2), rho));
h = 0.0;
// Iteration
Double h1, B1;
UInt count = 0;
do
{
h1 = h;
B1 = B;
const Double N = _a*(_a/(_b*std::sqrt(1+std::pow(e2*std::cos(B), 2))));
h = (std::fabs(B) < (60*DEG2RAD)) ? (rho/std::cos(B) - N) : (z/std::sin(B) - N/(1+e2*e2));
B = Angle(std::atan2(z*(1+e2*e2), rho*(1+e2*e2*h/(N+h))));
}
while(((std::fabs(h-h1) > 1e-6) || (std::fabs(B-B1) > 1e-10)) && (count++ < 1000));
}
/***********************************************/
const Vector3d Ellipsoid::operator()(Angle L, Angle B, Double h) const
{
Double e2 = std::sqrt((_a/_b-1)*(_a/_b+1));
Double N = _a*(_a/(_b*std::sqrt(1+std::pow(e2*std::cos(B), 2))));
return Vector3d((N+h) * std::cos(B) * std::cos(L),
(N+h) * std::cos(B) * std::sin(L),
(N/(1+e2*e2)+h)* std::sin(B));
}
/***********************************************/
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