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/***********************************************/
/**
* @file kaula2SigmaPotentialCoefficients.cpp
*
* @brief Create variances according kaulas rule of thumb.
*
* @author Torsten Mayer-Guerr
* @date 2008-08-08
*
*/
/***********************************************/
// Latex documentation
#define DOCSTRING docstring
static const char *docstring = R"(
Create signal standard deviations of potential coefficients according Kaula's rule of thumb
\begin{equation}
\sigma_n = \frac{f}{n^p},
\end{equation}
with the degree $n$, the \config{factor} $f$, and the \config{power} $p$.
The standard deviations are written as formal errors of
\configFile{outputfilePotentialCoefficients}{potentialCoefficients}.
)";
/***********************************************/
#include "programs/program.h"
#include "files/fileSphericalHarmonics.h"
/***** CLASS ***********************************/
/** @brief Create variances according kaulas rule of thumb.
* The coefficients are writen as SphericalHarmonics.
* @ingroup programsGroup */
class Kaula2SigmaPotentialCoefficients
{
public:
void run(Config &config, Parallel::CommunicatorPtr comm);
};
GROOPS_REGISTER_PROGRAM(Kaula2SigmaPotentialCoefficients, SINGLEPROCESS, "Create variances according kaulas rule of thumb", Misc, PotentialCoefficients)
/***********************************************/
void Kaula2SigmaPotentialCoefficients::run(Config &config, Parallel::CommunicatorPtr /*comm*/)
{
try
{
FileName potentialCoefficientsName;
UInt minDegree, maxDegree;
Double GM, R;
Double power, factor;
readConfig(config, "outputfilePotentialCoefficients", potentialCoefficientsName, Config::MUSTSET, "", "");
readConfig(config, "minDegree", minDegree, Config::DEFAULT, "2", "");
readConfig(config, "maxDegree", maxDegree, Config::MUSTSET, "", "");
readConfig(config, "GM", GM, Config::DEFAULT, STRING_DEFAULT_GM, "Geocentric gravitational constant");
readConfig(config, "R", R, Config::DEFAULT, STRING_DEFAULT_R, "reference radius");
readConfig(config, "power", power, Config::DEFAULT, "2", "sigma = factor/degree^power");
readConfig(config, "factor", factor, Config::DEFAULT, "1e-5", "sigma = factor/degree^power");
if(isCreateSchema(config)) return;
logStatus<<"create potential coefficients"<<Log::endl;
Matrix cnm (maxDegree+1, Matrix::TRIANGULAR, Matrix::LOWER);
Matrix snm (maxDegree+1, Matrix::TRIANGULAR, Matrix::LOWER);
Matrix sigma2cnm(maxDegree+1, Matrix::TRIANGULAR, Matrix::LOWER);
Matrix sigma2snm(maxDegree+1, Matrix::TRIANGULAR, Matrix::LOWER);
for(UInt n=minDegree; n<=maxDegree; n++)
{
const Double v = factor/std::pow(n, power);
sigma2cnm(n,0) = v*v;
for(UInt m=1; m<=n; m++)
sigma2cnm(n,m) = sigma2snm(n,m) = v*v;
}
logStatus<<"writing potential coefficients to file <"<<potentialCoefficientsName<<">"<<Log::endl;
writeFileSphericalHarmonics(potentialCoefficientsName, SphericalHarmonics(GM, R, cnm, snm, sigma2cnm, sigma2snm));
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
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