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SplineHelper.h
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165 lines (132 loc) · 5.96 KB
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// Copyright 2019-2020 CERN and copyright holders of ALICE O2.
// See https://alice-o2.web.cern.ch/copyright for details of the copyright holders.
// All rights not expressly granted are reserved.
//
// This software is distributed under the terms of the GNU General Public
// License v3 (GPL Version 3), copied verbatim in the file "COPYING".
//
// In applying this license CERN does not waive the privileges and immunities
// granted to it by virtue of its status as an Intergovernmental Organization
// or submit itself to any jurisdiction.
/// \file SplineHelper.h
/// \brief Definition of SplineHelper class
///
/// \author Sergey Gorbunov <sergey.gorbunov@cern.ch>
#ifndef ALICEO2_GPUCOMMON_TPCFASTTRANSFORMATION_SPLINEHELPER_H
#define ALICEO2_GPUCOMMON_TPCFASTTRANSFORMATION_SPLINEHELPER_H
#include <cmath>
#include <vector>
#include "GPUCommonDef.h"
#include "Rtypes.h"
#include "TString.h"
#include "Spline1D.h"
#include "Spline.h"
#include "Spline1DHelperOld.h"
#include <functional>
namespace o2
{
namespace gpu
{
///
/// The SplineHelper class is to initialize Spline* objects
///
template <typename DataT>
class SplineHelper
{
public:
/// _____________ Constructors / destructors __________________________
/// Default constructor
SplineHelper();
/// Copy constructor: disabled
SplineHelper(const SplineHelper&) = delete;
/// Assignment operator: disabled
SplineHelper& operator=(const SplineHelper&) = delete;
/// Destructor
~SplineHelper() = default;
/// _______________ Main functionality ________________________
/// Create best-fit spline parameters for a given input function F
void approximateFunction(SplineContainer<DataT>& spline,
const double xMin[/* Xdim */], const double xMax[/* Xdim */],
std::function<void(const double x[/* Xdim */], double f[/* Fdim */])> F,
const int32_t nAxiliaryDataPoints[/* Xdim */] = nullptr);
/// _______________ Interface for a step-wise construction of the best-fit spline ________________________
/// precompute everything needed for the construction
int32_t setSpline(const SplineContainer<DataT>& spline, const int32_t nAxiliaryPoints[/* Xdim */]);
/// approximate std::function, output in Fparameters
void approximateFunction(
DataT* Fparameters, const double xMin[/* mXdimensions */], const double xMax[/* mXdimensions */],
std::function<void(const double x[/* mXdimensions */], double f[/* mFdimensions */])> F) const;
/// approximate std::function, output in Fparameters. F calculates values for a batch of points.
void approximateFunctionBatch(
DataT* Fparameters, const double xMin[/* mXdimensions */], const double xMax[/* mXdimensions */],
std::function<void(const std::vector<double> x[/* mXdimensions */], double f[/*mFdimensions*/])> F,
uint32_t batchsize) const;
/// approximate a function given as an array of values at data points
void approximateFunction(
DataT* Fparameters, const double DataPointF[/*getNumberOfDataPoints() x nFdim*/]) const;
int32_t getNumberOfDataPoints(int32_t dimX) const { return mHelpers[dimX].getNumberOfDataPoints(); }
int32_t getNumberOfDataPoints() const { return mNumberOfDataPoints; }
const Spline1DHelperOld<DataT>& getHelper(int32_t dimX) const { return mHelpers[dimX]; }
/// _______________ Utilities ________________________
/// Gives error string
const char* getLastError() const { return mError.Data(); }
#if !defined(GPUCA_GPUCODE) && !defined(GPUCA_STANDALONE)
/// Test the Spline class functionality
static int32_t test(const bool draw = 0, const bool drawDataPoints = 1);
#endif
static int32_t arraytopoints(int32_t point, int32_t result[], const int32_t numbers[], int32_t dim);
static int32_t pointstoarray(const int32_t indices[], const int32_t numbers[], int32_t dim);
private:
/// Stores an error message
int32_t storeError(Int_t code, const char* msg);
TString mError = ""; ///< error string
int32_t mXdimensions; ///< number of X dimensions
int32_t mFdimensions; ///< number of F dimensions
int32_t mNumberOfParameters; ///< number of parameters
int32_t mNumberOfDataPoints; ///< number of data points
std::vector<Spline1DHelperOld<DataT>> mHelpers;
};
template <typename DataT>
void SplineHelper<DataT>::approximateFunction(
SplineContainer<DataT>& spline,
const double xMin[/* Xdim */], const double xMax[/* Xdim */],
std::function<void(const double x[/* Xdim */], double f[/* Fdim */])> F,
const int32_t nAxiliaryDataPoints[/* Xdim */])
{
/// Create best-fit spline parameters for a given input function F
setSpline(spline, nAxiliaryDataPoints);
approximateFunction(spline.getParameters(), xMin, xMax, F);
DataT xxMin[spline.getXdimensions()];
DataT xxMax[spline.getXdimensions()];
for (int32_t i = 0; i < spline.getXdimensions(); i++) {
xxMin[i] = xMin[i];
xxMax[i] = xMax[i];
}
spline.setXrange(xxMin, xxMax);
}
template <typename DataT>
int32_t SplineHelper<DataT>::setSpline(
const SplineContainer<DataT>& spline, const int32_t nAxiliaryPoints[/* Xdim */])
{
// Prepare creation of an irregular spline
// The should be at least one (better, two) axiliary measurements on each segnment between two knots and at least 2*nKnots measurements in total
// Returns 0 when the spline can not be constructed with the given nAxiliaryPoints
int32_t ret = 0;
mXdimensions = spline.getXdimensions();
mFdimensions = spline.getYdimensions();
mNumberOfParameters = spline.getNumberOfParameters();
mNumberOfDataPoints = 1;
mHelpers.clear();
mHelpers.resize(mXdimensions);
for (int32_t i = 0; i < mXdimensions; i++) {
int32_t np = (nAxiliaryPoints != nullptr) ? nAxiliaryPoints[i] : 4;
if (mHelpers[i].setSpline(spline.getGrid(i), mFdimensions, np) != 0) {
ret = storeError(-2, "SplineHelper::setSpline: error by setting an axis");
}
mNumberOfDataPoints *= mHelpers[i].getNumberOfDataPoints();
}
return ret;
}
} // namespace gpu
} // namespace o2
#endif