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/***********************************************/
/**
* @file gravityfieldPotentialCoefficients.cpp
*
* @brief Potential coefficients (SphericalHarmonics).
* All classes fo this type are added together before evaluation to speed up the computation.
* @see Gravityfield
*
* @author Torsten Mayer-Guerr
* @date 2001-08-25
*
*/
/***********************************************/
#include "base/import.h"
#include "base/sphericalHarmonics.h"
#include "config/config.h"
#include "files/fileSphericalHarmonics.h"
#include "classes/kernel/kernel.h"
#include "classes/gravityfield/gravityfield.h"
#include "classes/gravityfield/gravityfieldPotentialCoefficients.h"
/***********************************************/
GravityfieldPotentialCoefficients::GravityfieldPotentialCoefficients(Config &config)
{
try
{
FileName fileName;
Double factor;
UInt minDegree, maxDegree = INFINITYDEGREE;
Bool zeroVariance;
readConfig(config, "inputfilePotentialCoefficients", fileName, Config::MUSTSET, "{groopsDataDir}/potential/", "");
readConfig(config, "minDegree", minDegree, Config::DEFAULT, "0", "");
readConfig(config, "maxDegree", maxDegree, Config::OPTIONAL, "", "");
readConfig(config, "factor", factor, Config::DEFAULT, "1.0", "the result is multiplied by this factor, set -1 to subtract the field");
readConfig(config, "setSigmasToZero", zeroVariance, Config::DEFAULT, "0", "set variances to zero, should be used by adding back reference fields");
if(isCreateSchema(config)) return;
readFileSphericalHarmonics(fileName, harmonics);
if(zeroVariance)
harmonics.sigma2cnm() = harmonics.sigma2snm() = Matrix();
harmonics = factor * harmonics.get(maxDegree, minDegree);
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double GravityfieldPotentialCoefficients::potential(const Time &/*time*/, const Vector3d &point) const
{
return harmonics.potential(point);
}
/***********************************************/
Double GravityfieldPotentialCoefficients::radialGradient(const Time &/*time*/, const Vector3d &point) const
{
return harmonics.radialGradient(point);
}
/***********************************************/
Double GravityfieldPotentialCoefficients::field(const Time &/*time*/, const Vector3d &point, const Kernel &kernel) const
{
// Convolution with kernel
return inner(kernel.inverseCoefficients(point, harmonics.maxDegree(), harmonics.isInterior()), harmonics.Yn(point, harmonics.maxDegree()));
}
/***********************************************/
Vector3d GravityfieldPotentialCoefficients::gravity(const Time &/*time*/, const Vector3d &point) const
{
return harmonics.gravity(point);
}
/***********************************************/
Tensor3d GravityfieldPotentialCoefficients::gravityGradient(const Time &/*time*/, const Vector3d &point) const
{
return harmonics.gravityGradient(point);
}
/***********************************************/
Vector3d GravityfieldPotentialCoefficients::deformation(const Time &/*time*/, const Vector3d &point, Double gravity, const Vector &hn, const Vector &ln) const
{
return harmonics.deformation(point, gravity, hn, ln);
}
/***********************************************/
void GravityfieldPotentialCoefficients::deformation(const std::vector<Time> &time, const std::vector<Vector3d> &point, const std::vector<Double> &gravity,
const Vector &hn, const Vector &ln, std::vector<std::vector<Vector3d>> &disp) const
{
for(UInt k=0; k<point.size(); k++)
{
Vector3d d = harmonics.deformation(point.at(k), gravity.at(k), hn, ln);
for(UInt i=0; i<time.size(); i++)
disp.at(k).at(i) += d;
}
}
/***********************************************/
void GravityfieldPotentialCoefficients::variance(const Time &/*time*/, const std::vector<Vector3d> &point, const Kernel &kernel, Matrix &D) const
{
try
{
if(!harmonics.sigma2cnm().size())
return;
UInt maxDegree = harmonics.maxDegree();
Double GM = harmonics.GM();
Double R = harmonics.R();
Matrix Cnm_i, Snm_i, Cnm_k, Snm_k;
Matrix sigma2cnm = harmonics.sigma2cnm();
Matrix sigma2snm = harmonics.sigma2snm();
for(UInt i=0; i<point.size(); i++)
{
Vector coeff_i = GM/R * kernel.inverseCoefficients(point.at(i), maxDegree, harmonics.isInterior());
SphericalHarmonics::CnmSnm(1/R * point.at(i), maxDegree, Cnm_i, Snm_i, harmonics.isInterior());
for(UInt k=i; k<point.size(); k++)
{
Vector coeff_k = GM/R * kernel.inverseCoefficients(point.at(k), maxDegree, harmonics.isInterior());
SphericalHarmonics::CnmSnm(1/R * point.at(k), maxDegree, Cnm_k, Snm_k, harmonics.isInterior());
for(UInt n=0; n<=maxDegree; n++)
for(UInt m=0; m<=n; m++)
D(i,k) += coeff_i(n) * Cnm_i(n,m) * sigma2cnm(n,m) * Cnm_k(n,m) * coeff_k(n)
+ coeff_i(n) * Snm_i(n,m) * sigma2snm(n,m) * Snm_k(n,m) * coeff_k(n);
}
}
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
Double GravityfieldPotentialCoefficients::variance(const Time &/*time*/, const Vector3d &point, const Kernel &kernel) const
{
try
{
if(!harmonics.sigma2cnm().size())
return 0.0;
UInt maxDegree = harmonics.maxDegree();
Double GM = harmonics.GM();
Double R = harmonics.R();
Vector coeff = GM/R * kernel.inverseCoefficients(point, maxDegree, harmonics.isInterior());
Matrix Cnm, Snm;
SphericalHarmonics::CnmSnm(1/R * point, maxDegree, Cnm, Snm, harmonics.isInterior());
Double sigma2 = 0;
const Matrix sigma2cnm = harmonics.sigma2cnm();
const Matrix sigma2snm = harmonics.sigma2snm();
for(UInt n=0; n<=maxDegree; n++)
for(UInt m=0; m<=n; m++)
sigma2 += pow(coeff(n)*Cnm(n,m),2) * sigma2cnm(n,m)
+ pow(coeff(n)*Snm(n,m),2) * sigma2snm(n,m);
return sigma2;
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
SphericalHarmonics GravityfieldPotentialCoefficients::sphericalHarmonics(const Time &/*time*/, UInt maxDegree, UInt minDegree, Double GM, Double R) const
{
try
{
return harmonics.get(maxDegree, minDegree, GM, R);
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
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