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// --------------------------------------------------------------------------
//                   OpenMS -- Open-Source Mass Spectrometry
// --------------------------------------------------------------------------
// Copyright The OpenMS Team -- Eberhard Karls University Tuebingen,
// ETH Zurich, and Freie Universitaet Berlin 2002-2013.
//
// This software is released under a three-clause BSD license:
//  * Redistributions of source code must retain the above copyright
//    notice, this list of conditions and the following disclaimer.
//  * Redistributions in binary form must reproduce the above copyright
//    notice, this list of conditions and the following disclaimer in the
//    documentation and/or other materials provided with the distribution.
//  * Neither the name of any author or any participating institution
//    may be used to endorse or promote products derived from this software
//    without specific prior written permission.
// For a full list of authors, refer to the file AUTHORS.
// --------------------------------------------------------------------------
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL ANY OF THE AUTHORS OR THE CONTRIBUTING
// INSTITUTIONS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
// OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
// WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
// OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// --------------------------------------------------------------------------
// $Maintainer: Stephan Aiche$
// $Authors: Stephan Aiche, Marc Sturm$
// --------------------------------------------------------------------------

#ifndef OPENMS_TRANSFORMATIONS_FEATUREFINDER_GAUSSTRACEFITTER_H
#define OPENMS_TRANSFORMATIONS_FEATUREFINDER_GAUSSTRACEFITTER_H

#include <sstream>

#include <OpenMS/TRANSFORMATIONS/FEATUREFINDER/TraceFitter.h>

namespace OpenMS
{

  /**
   * @brief Fitter for RT profiles using a gaussian background model
   *
   * @htmlinclude OpenMS_GaussTraceFitter.parameters
   *
   * @todo More docu
   */
  template <typename PeakType>
  class GaussTraceFitter :
    public TraceFitter<PeakType>
  {
public:
    GaussTraceFitter()
    {
      //setName("GaussTraceFitter");
    }

    GaussTraceFitter(const GaussTraceFitter & other) :
      TraceFitter<PeakType>(other)
    {
      this->height_ = other.height_;
      this->x0_ = other.x0_;
      this->sigma_ = other.sigma_;

      updateMembers_();
    }

    GaussTraceFitter & operator=(const GaussTraceFitter & source)
    {
      TraceFitter<PeakType>::operator=(source);

      this->height_ = source.height_;
      this->x0_ = source.x0_;
      this->sigma_ = source.sigma_;

      updateMembers_();

      return *this;
    }

    virtual ~GaussTraceFitter()
    {
    }

    // override important methods
    void fit(FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> & traces)
    {
      LOG_DEBUG << "Traces length: " << traces.size() << std::endl;
      setInitialParameters_(traces);

      double x_init[NUM_PARAMS_] = {height_, x0_, sigma_};

      Size num_params = NUM_PARAMS_;

      TraceFitter<PeakType>::optimize_(traces, num_params, x_init,
                                       &(GaussTraceFitter<PeakType>::residual_),
                                       &(GaussTraceFitter<PeakType>::jacobian_),
                                       &(GaussTraceFitter<PeakType>::evaluate_));
    }

    DoubleReal getLowerRTBound() const
    {
      return x0_ - 2.5 * sigma_;
    }

    DoubleReal getUpperRTBound() const
    {
      return x0_ + 2.5 * sigma_;
    }

    DoubleReal getHeight() const
    {
      return height_;
    }

    DoubleReal getCenter() const
    {
      return x0_;
    }

    DoubleReal getFWHM() const
    {
      return 2.0 * sigma_;
    }

    /**
     * @brief Returns the sigma of the fitted gaussian model
     */
    DoubleReal getSigma() const
    {
      return sigma_;
    }

    bool checkMaximalRTSpan(const DoubleReal max_rt_span)
    {
      return 5.0 * sigma_ > max_rt_span * region_rt_span_;
    }

    bool checkMinimalRTSpan(const std::pair<DoubleReal, DoubleReal> & rt_bounds, const DoubleReal min_rt_span)
    {
      return (rt_bounds.second - rt_bounds.first) < (min_rt_span * 5.0 * sigma_);
    }

    DoubleReal computeTheoretical(const FeatureFinderAlgorithmPickedHelperStructs::MassTrace<PeakType> & trace, Size k)
    {
      return trace.theoretical_int *  height_ * exp(-0.5 * pow(trace.peaks[k].first - x0_, 2) / pow(sigma_, 2));
    }

    DoubleReal getFeatureIntensityContribution()
    {
      return 2.5 * height_ * sigma_;
    }

    String getGnuplotFormula(FeatureFinderAlgorithmPickedHelperStructs::MassTrace<PeakType> const & trace, const char function_name, const DoubleReal baseline, const DoubleReal rt_shift)
    {
      std::stringstream s;
      s << String(function_name)  << "(x)= " << baseline << " + ";
      s << (trace.theoretical_int *  height_) << " * exp(-0.5*(x-" << (rt_shift + x0_) << ")**2/(" << sigma_ << ")**2)";
      return String(s.str());
    }

protected:
    DoubleReal sigma_;
    DoubleReal x0_;
    DoubleReal height_;
    DoubleReal region_rt_span_;

    static const Size NUM_PARAMS_ = 3;

    void getOptimizedParameters_(gsl_multifit_fdfsolver * s)
    {
      height_ = gsl_vector_get(s->x, 0);
      x0_ = gsl_vector_get(s->x, 1);
      sigma_ = std::fabs(gsl_vector_get(s->x, 2));
    }

    static Int residual_(const gsl_vector * param, void * data, gsl_vector * f)
    {
      FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> * traces = static_cast<FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> *>(data);
      double height = gsl_vector_get(param, 0);
      double x0 = gsl_vector_get(param, 1);
      double sig = gsl_vector_get(param, 2);
      double c_fac = -0.5 / pow(sig, 2);

      Size count = 0;
      for (Size t = 0; t < traces->size(); ++t)
      {
        const FeatureFinderAlgorithmPickedHelperStructs::MassTrace<PeakType> & trace = (*traces)[t];
        for (Size i = 0; i < trace.peaks.size(); ++i)
        {
          gsl_vector_set(f, count, traces->baseline + trace.theoretical_int * height * exp(c_fac * pow(trace.peaks[i].first - x0, 2)) - trace.peaks[i].second->getIntensity());
          ++count;
        }
      }
      return GSL_SUCCESS;
    }

    static Int jacobian_(const gsl_vector * param, void * data, gsl_matrix * J)
    {
      FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> * traces = static_cast<FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> *>(data);
      double height = gsl_vector_get(param, 0);
      double x0 = gsl_vector_get(param, 1);
      double sig = gsl_vector_get(param, 2);
      double sig_sq = pow(sig, 2);
      double sig_3 = pow(sig, 3);
      double c_fac = -0.5 / sig_sq;

      Size count = 0;
      for (Size t = 0; t < traces->size(); ++t)
      {
        const FeatureFinderAlgorithmPickedHelperStructs::MassTrace<PeakType> & trace = (*traces)[t];
        for (Size i = 0; i < trace.peaks.size(); ++i)
        {
          DoubleReal rt = trace.peaks[i].first;
          DoubleReal e = exp(c_fac * pow(rt - x0, 2));
          gsl_matrix_set(J, count, 0, trace.theoretical_int * e);
          gsl_matrix_set(J, count, 1, trace.theoretical_int * height * e * (rt - x0) / sig_sq);
          gsl_matrix_set(J, count, 2, 0.125 * trace.theoretical_int * height * e * pow(rt - x0, 2) / sig_3);
          ++count;
        }
      }
      return GSL_SUCCESS;
    }

    static Int evaluate_(const gsl_vector * param, void * data, gsl_vector * f, gsl_matrix * J)
    {
      residual_(param, data, f);
      jacobian_(param, data, J);
      return GSL_SUCCESS;
    }

    void setInitialParameters_(FeatureFinderAlgorithmPickedHelperStructs::MassTraces<PeakType> & traces)
    {
      LOG_DEBUG << "GaussTraceFitter->setInitialParameters(..)" << std::endl;
      LOG_DEBUG << "Traces length: " << traces.size() << std::endl;
      LOG_DEBUG << "Max trace: " << traces.max_trace << std::endl;

      // initial values for externals
      height_ = traces[traces.max_trace].max_peak->getIntensity() - traces.baseline;
      LOG_DEBUG << "height: " << height_ << std::endl;
      x0_ = traces[traces.max_trace].max_rt;
      LOG_DEBUG << "x0: " << x0_ << std::endl;
      region_rt_span_ = traces[traces.max_trace].peaks.back().first - traces[traces.max_trace].peaks[0].first;
      LOG_DEBUG << "region_rt_span_: " << region_rt_span_ << std::endl;
      sigma_ = region_rt_span_ / 20.0;
      LOG_DEBUG << "sigma_: " << sigma_ << std::endl;
    }

    virtual void updateMembers_()
    {
      TraceFitter<PeakType>::updateMembers_();
    }

    void printState_(SignedSize iter, gsl_multifit_fdfsolver * s)
    {
      LOG_DEBUG << "iter " << iter << ": " <<
      "height: " << gsl_vector_get(s->x, 0) << " " <<
      "x0: " << gsl_vector_get(s->x, 1) << " " <<
      "sigma: " << std::fabs(gsl_vector_get(s->x, 2)) << " " <<
      "|f(x)| = " << gsl_blas_dnrm2(s->f) << std::endl;
    }

  };

} // namespace OpenMS

#endif // #ifndef OPENMS_TRANSFORMATIONS_FEATUREFINDER_FEATUREFINDERALGORITHMPICKEDTRACEFITTERGAUSS_H