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/***********************************************/
/**
* @file griddedDataCalculate.cpp
*
* @brief Calculate values of gridded data.
*
* @author Torsten Mayer-Guerr
* @date 2012-11-20
*
*/
/***********************************************/
// Latex documentation
#define DOCSTRING docstring
static const char *docstring = R"(
This program manipulates \file{grid files}{griddedData} with data in columns similar to
\program{FunctionsCalculate}, see there for more details.
If several \config{inputfile}s are given the data columns are copied side by side.
All \config{inputfile}s must contain the same grid points.
The columns are enumerated by \verb|data0|,~\verb|data1|,~\ldots.
The content of \configFile{outputfileGriddedData}{griddedData} is controlled by \config{outColumn}.
The algorithm to compute the output is as follows:
The expressions in \config{outColumn} are evaluated once for each grid point of the input.
The variables \verb|data0|,~\verb|data1|,~\ldots are replaced by the according values
from the input columns before.
Additional variables are available, e.g. \verb|index|, \verb|data0rms|,
see~\reference{dataVariables}{general.parser:dataVariables}.
For a simplified handling \config{constant}s can be defined by \verb|name=value|.
It is also possible to estimate \config{parameter}s in a least squares adjustment.
The \config{leastSquares} serves as template for observation equations for every point.
The expression \config{leastSquares} is evaluated for each grid point.
The variables \verb|data0|,~\verb|data1|,~\ldots are replaced by the according values from the input columns before.
In the next step the parameters are estimated in order to minimize the expressions in \config{leastSquares}
in the sense of least squares.
Afterwards grid points are removed if one of the \config{removalCriteria} expressions
for this grid point evaluates true (not zero).
An extra \configFile{statistics:outputfile}{matrix} can be generated with one row of data.
For the computation of the \config{outColumn} values
all~\reference{dataVariables}{general.parser:dataVariables} are available
(e.g. \verb|data3mean|, \verb|data4std|) inclusively the \config{constant}s and
estimated \config{parameter}s but without the \verb|data0|,~\verb|data1|,~\ldots itself.
The variables and the numbering of the columns refers to the \configFile{outputfileGriddedData}{griddedData}.
See also \program{FunctionsCalculate}, \program{InstrumentArcCalculate}, \program{MatrixCalculate}.
)";
/***********************************************/
#include "programs/program.h"
#include "parser/dataVariables.h"
#include "files/fileMatrix.h"
#include "files/fileGriddedData.h"
#include "misc/miscGriddedData.h"
/***********************************************/
/** @brief Calculate values of gridded data.
* @ingroup programsGroup */
class GriddedDataCalculate
{
public:
void run(Config &config, Parallel::CommunicatorPtr comm);
};
GROOPS_REGISTER_PROGRAM(GriddedDataCalculate, SINGLEPROCESS, "Calculate values of gridded data.", Grid)
/***********************************************/
void GriddedDataCalculate::run(Config &config, Parallel::CommunicatorPtr /*comm*/)
{
try
{
FileName fileNameOut, fileNameStatistics;
std::vector<FileName> fileNamesIn;
std::vector<ExpressionVariablePtr> constExpr, paramExpr;
std::vector<ExpressionVariablePtr> lsaExpr, removeExpr;
std::vector<ExpressionVariablePtr> valueExpr, statisticsExpr;
ExpressionVariablePtr lonExpr, latExpr, heightExpr, areaExpr;
Bool computeArea;
Double a, f;
readConfig(config, "outputfileGriddedData", fileNameOut, Config::OPTIONAL, "", "");
readConfig(config, "inputfileGriddedData", fileNamesIn, Config::MUSTSET, "", "");
readConfig(config, "constant", constExpr, Config::OPTIONAL, "", "define a constant by name=value");
readConfig(config, "parameter", paramExpr, Config::OPTIONAL, "", "define a parameter by name[=value]");
readConfig(config, "leastSquares", lsaExpr, Config::OPTIONAL, "", "try to minimize the expression by adjustment of the parameters");
readConfig(config, "removalCriteria", removeExpr, Config::OPTIONAL, "", "points are removed if one criterion evaluates true. data0 is the first data field.");
readConfig(config, "longitude", lonExpr, Config::MUSTSET, "longitude", "expression");
readConfig(config, "latitude", latExpr, Config::MUSTSET, "latitude", "expression");
readConfig(config, "height", heightExpr, Config::MUSTSET, "height", "expression");
readConfig(config, "area", areaExpr, Config::OPTIONAL, "area", "expression: e.g. deltaL * 2.0 * sin(deltaB/2.0) * cos(latitude/rho)");
readConfig(config, "value", valueExpr, Config::OPTIONAL, R"(["data0"])", "expression to compute values (input columns are named data0, data1, ...)");
readConfig(config, "computeArea", computeArea, Config::DEFAULT, "0", "automatically area computation of rectangular grids (overwrite area)");
readConfig(config, "R", a, Config::DEFAULT, STRING_DEFAULT_GRS80_a, "reference radius for ellipsoidal coordinates");
readConfig(config, "inverseFlattening", f, Config::DEFAULT, STRING_DEFAULT_GRS80_f, "reference flattening for ellipsoidal coordinates");
if(readConfigSequence(config, "statistics", Config::OPTIONAL, "", ""))
{
readConfig(config, "outputfile", fileNameStatistics, Config::MUSTSET, "", "matrix with one row, columns are user defined");
readConfig(config, "outColumn", statisticsExpr, Config::MUSTSET, "data0rms", "expression to compute statistics columns, data* are the outputColumns");
endSequence(config);
}
if(isCreateSchema(config)) return;
// =====================================================
// read data
// ---------
GriddedData gridIn;
for(UInt idFile=0; idFile<fileNamesIn.size(); idFile++)
{
logStatus<<"reading grid from file <"<<fileNamesIn.at(idFile)<<">"<<Log::endl;
GriddedData grid;
readFileGriddedData(fileNamesIn.at(idFile), grid);
// test grid equivalence
if(gridIn.points.size() != 0)
{
if(gridIn.points.size() != grid.points.size())
throw(Exception("grid differ in point count"));
for(UInt i=0; i<gridIn.points.size(); i++)
if(std::fabs((gridIn.points.at(i)-grid.points.at(i)).r()/gridIn.points.at(i).r())>1e-10)
{
logWarning<<"grid points differ: ignored"<<Log::endl;
break;
}
// append values
gridIn.values.insert(gridIn.values.end(), grid.values.begin(), grid.values.end());
}
else
gridIn = grid;
} // for(idFile)
// =====================================================
// create data variables
// ---------------------
VariableList varList;
// get real variable names, otherwise all named after config element
std::for_each(constExpr.begin(), constExpr.end(), [&](auto expr) {expr->parseVariableName();});
std::for_each(paramExpr.begin(), paramExpr.end(), [&](auto expr) {expr->parseVariableName();});
std::for_each(constExpr.begin(), constExpr.end(), [&](auto expr) {varList.addVariable(expr);});
std::for_each(paramExpr.begin(), paramExpr.end(), [&](auto expr) {varList.addVariable(expr);});
auto varListWoData = varList;
addDataVariables(gridIn, varList);
// =====================================================
// build observation equations
// ---------------------------
if(lsaExpr.size())
{
logStatus<<"least squares adjustment"<<Log::endl;
Vector l(gridIn.points.size()*lsaExpr.size());
Matrix A(gridIn.points.size()*lsaExpr.size(), paramExpr.size());
for(UInt k=0; k<lsaExpr.size(); k++)
{
std::vector<ExpressionVariablePtr> lsaA(paramExpr.size());
for(UInt s=0; s<paramExpr.size(); s++)
{
lsaA.at(s) = lsaExpr.at(k)->derivative(paramExpr.at(s)->name(), varList);
lsaA.at(s)->simplify(varList);
}
lsaExpr.at(k)->simplify(varList);
for(UInt i=0; i<gridIn.points.size(); i++)
{
evaluateDataVariables(gridIn, i, varList);
l(i+k*gridIn.points.size()) = -lsaExpr.at(k)->evaluate(varList); // observations
for(UInt s=0; s<lsaA.size(); s++)
A(i+k*gridIn.points.size(),s) = lsaA.at(s)->evaluate(varList); // columns of design matrix
}
undefineDataVariables(gridIn, varList);
}
Vector x = leastSquares(A,l);
for(UInt s=0; s<paramExpr.size(); s++)
{
x(s) += paramExpr.at(s)->evaluate(varList);
paramExpr.at(s)->setValue( x(s) );
varList.setVariable(paramExpr.at(s)->name(), x(s) );
varListWoData.setVariable(paramExpr.at(s)->name(), x(s) );
logInfo<<" "<<paramExpr.at(s)->name()<<" = "<<x(s)<<Log::endl;
}
}
// =====================================================
// calculate output grid
// ---------------------
logStatus<<"calculate output matrix"<<Log::endl;
lonExpr->simplify(varList);
latExpr->simplify(varList);
heightExpr->simplify(varList);
if(areaExpr)
areaExpr->simplify(varList);
std::for_each(removeExpr.begin(), removeExpr.end(), [&](auto expr) {expr->simplify(varList);});
std::for_each(valueExpr.begin(), valueExpr.end(), [&](auto expr) {expr->simplify(varList);});
GriddedData gridOut;
gridOut.ellipsoid = Ellipsoid(a,f);
gridOut.values.resize(valueExpr.size());
Single::forEach(gridIn.points.size(), [&](UInt i)
{
evaluateDataVariables(gridIn, i, varList);
if(std::any_of(removeExpr.begin(), removeExpr.end(), [&](auto expr) {return expr->evaluate(varList) != 0.;}))
return;
Double L = lonExpr->evaluate(varList);
Double B = latExpr->evaluate(varList);
Double h = heightExpr->evaluate(varList);
gridOut.points.push_back( gridOut.ellipsoid(Angle(L*DEG2RAD), Angle(B*DEG2RAD), h) );
if(areaExpr)
gridOut.areas.push_back( areaExpr->evaluate(varList) );
for(UInt k=0; k<valueExpr.size(); k++)
gridOut.values.at(k).push_back( valueExpr.at(k)->evaluate(varList) );
}, /*timing*/(gridIn.points.size() > 10'000'000));
// =====================================================
if(computeArea)
{
logStatus<<"compute area"<<Log::endl;
if(!gridOut.computeArea())
logWarning<<"Compute areas only possible with regular rectangular grids"<<Log::endl;
}
// =====================================================
// save grid
// ---------
if(!fileNameOut.empty())
{
logStatus<<"save grid <"<<fileNameOut<<">"<<Log::endl;
writeFileGriddedData(fileNameOut, gridOut);
MiscGriddedData::printStatistics(gridOut);
}
// statistics
// ----------
if(!fileNameStatistics.empty())
{
logStatus<<"write statistics to <"<<fileNameStatistics<<">"<<Log::endl;
auto varList = varListWoData;
addDataVariables(gridOut, varList);
Matrix statistics(1, statisticsExpr.size());
for(UInt k=0; k<statistics.columns(); k++)
statistics(0, k) = statisticsExpr.at(k)->evaluate(varList);
writeFileMatrix(fileNameStatistics, statistics);
}
}
catch(std::exception &e)
{
GROOPS_RETHROW(e)
}
}
/***********************************************/
|
