JACOUSTICS::JKatoomba< JSimplex > Struct Template Reference

Template specialisation of fit function of acoustic model based on JSimplex minimiser. More...

#include <JKatoomba_t.hh>

Inheritance diagram for JACOUSTICS::JKatoomba< JSimplex >:

Public Types
typedef double	result_type

Public Member Functions
	JKatoomba (const JGeometry &geometry, const JSoundVelocity &velocity, const int option)
	Constructor. More...
double	operator() (const JModel &model, const JHit &hit) const
	Fit function. More...
template<class T >
double	operator() (T __begin, T __end)
	Fit. More...
template<class JFunction_t , class T >
double	operator() (const JFunction_t &fit, T __begin, T __end)
	Multi-dimensional fit. More...
template<class JFunction_t , class T >
double	operator() (const JFunction_t &fit, T __begin, T __end, const JModel_t &step)
	1D fit. More...

Public Attributes
JModel_t	value
std::vector< JModel_t >	step
int	numberOfIterations

Static Public Attributes
static int	MAXIMUM_ITERATIONS = 1000
	maximal number of iterations More...
static double	EPSILON = 1.0e-4
	maximal distance to minimum More...
static int	debug = 0
	debug level (default is off). More...

Detailed Description

template<>
struct JACOUSTICS::JKatoomba< JSimplex >

Template specialisation of fit function of acoustic model based on JSimplex minimiser.

Definition at line 640 of file JKatoomba_t.hh.

Member Typedef Documentation

template<class JModel_t>

typedef double JFIT::JSimplex< JModel_t >::result_type

inherited

Definition at line 47 of file JSimplex.hh.

Constructor & Destructor Documentation

JACOUSTICS::JKatoomba< JSimplex >::JKatoomba ( const JGeometry &  geometry, const JSoundVelocity &  velocity, const int  option  )

inline

Constructor.

Parameters

geometry	detector geometry
velocity	sound velocity
option	option

Definition at line 651 of file JKatoomba_t.hh.

                                            :
      JKatoomba<>(geometry, velocity, option)
    {};

Member Function Documentation

double JACOUSTICS::JKatoomba< JSimplex >::operator() ( const JModel &  model, const JHit &  hit  ) const

inline

Fit function.

This method is used to determine the chi2 of given hit with respect to actual model.

Parameters

model	model
hit	hit

Returns

chi2

Definition at line 666 of file JKatoomba_t.hh.

    {
      const double toa_s = this->getToA(model, hit);
      const double u     = (toa_s - hit.getValue()) / hit.getSigma();

      return estimator->getRho(u);
    }

template<class T >

double JACOUSTICS::JKatoomba< JSimplex >::operator() ( T  __begin, T  __end  )

inline

Fit.

Parameters

__begin	begin of hits
__end	end of hits

Returns

chi2

Definition at line 683 of file JKatoomba_t.hh.

    {
      this->step.clear();

      for (JModel::string_type::const_iterator i = this->value.string.begin(); i != this->value.string.end(); ++i) {

        JModel model;

        switch (this->option) {

        case JMODEL::FIT_EMITTERS_AND_STRINGS_2nd_ORDER_AND_STRETCHING_t:
          model.string[i->first] = JMODEL::JString(0.0, 0.0, 0.0, 0.0, 1.0e-6);  this->step.push_back(model);

        case JMODEL::FIT_EMITTERS_AND_STRINGS_2nd_ORDER_t:
          model.string[i->first] = JMODEL::JString(0.0, 0.0, 1.0e-6, 0.0, 0.0);  this->step.push_back(model);
          model.string[i->first] = JMODEL::JString(0.0, 0.0, 0.0, 1.0e-6, 0.0);  this->step.push_back(model);

        case JMODEL::FIT_EMITTERS_AND_STRINGS_1st_ORDER_t:
          model.string[i->first] = JMODEL::JString(1.0e-3, 0.0, 0.0, 0.0, 0.0);  this->step.push_back(model);
          model.string[i->first] = JMODEL::JString(0.0, 1.0e-3, 0.0, 0.0, 0.0);  this->step.push_back(model);
          break;
          
        default:
          break;
        }
      }
      
      for (JModel::emission_type::const_iterator i = this->value.emission.begin(); i != this->value.emission.end(); ++i) {

        JModel model;

        model.emission[i->first] = JMODEL::JEmission(5.0e-5);                    this->step.push_back(model);
      }

      return JSimplex<JModel>::operator()(*this, __begin, __end);
    }

template<class JModel_t>

template<class JFunction_t , class T >

double JFIT::JSimplex< JModel_t >::operator() ( const JFunction_t &  fit, T  __begin, T  __end  )

inlineinherited

Multi-dimensional fit.

The given fit function should return the equivalent of chi2 for the current value of the given model and a given data point.

Parameters

fit	fit function
__begin	begin of data
__end	end of data

Returns

chi2

Definition at line 71 of file JSimplex.hh.

    {
      using namespace std;
      using namespace JPP;

      double chi2_old = evaluate(fit, __begin, __end);

      const int N = step.size();

      if (N != 0) {

        p0   = value;
        p1   = value;
        wall = value;

        double chi2[N];

        numberOfIterations = 0;

        while (numberOfIterations != MAXIMUM_ITERATIONS) {

          DEBUG("old: " << FIXED(12,5) << chi2_old << endl);

          p0 = value;

          for (int i = 0; i != N; ++i) {

            DEBUG("step: " << i << ' ' << setw(5) << numberOfIterations << endl);

            chi2[i] = (*this)(fit, __begin, __end, step[i]);
          }

          // overall step direction of last iteration

          wall  = value;
          wall -= p0;

          const double chi2_new = (*this)(fit, __begin, __end, wall);

          DEBUG("new: " << FIXED(12,5) << chi2_new << endl);


          if (fabs(chi2_old - chi2_new) < EPSILON*fabs(chi2_old)) {
            return chi2_new;
          }

          // double overall step

          wall   = value;
          wall  -= p0;
          value += wall;

          const double fe = evaluate(fit, __begin, __end);

          value -= wall;


          for (int i = N-1; i != 0; --i) {
            chi2[i] = chi2[i-1] - chi2[i];
          }

          chi2[0] = chi2_old - chi2[0];


          double df = 0.0;

          for (int i = 0; i != N; ++i) {
            if (chi2[i] > df) {
              df = chi2[i];
            }
          }

          const double fn = chi2_new;
          const double f0 = chi2_old;
          const double ff = f0 - fn - df;

          // shift step directions

          if (fe < f0 && 2.0*(f0 - 2.0*fn + fe)*ff*ff < (f0-fe)*(f0-fe)*df) {

            for (int i = 0; i != N - 1; ++i) {
              step[i] = step[i+1];
            }

            step[N-1] = wall;
          }

          chi2_old = chi2_new;
        }
      }

      return chi2_old;
    }

template<class JModel_t>

template<class JFunction_t , class T >

double JFIT::JSimplex< JModel_t >::operator() ( const JFunction_t &  fit, T  __begin, T  __end, const JModel_t &  step  )

inlineinherited

1D fit.

The given fit function should return the equivalent of chi2 for the current value of the given model and a given data point.

Parameters

fit	fit function
__begin	begin of data
__end	end of data
step	step direction

Definition at line 178 of file JSimplex.hh.

    {
      using namespace std;
      using namespace JPP;

      double lambda = 0.5;                                     // control parameter
      double factor = 1.0;                                     // multiplication factor

      double chi2_old = evaluate(fit, __begin, __end);

      for (int i = 0; numberOfIterations != MAXIMUM_ITERATIONS; ++numberOfIterations, ++i) {

        p1      = step;
        p1     *= lambda;
        value  += p1;

        const double chi2_new = evaluate(fit, __begin, __end);

        DEBUG("step: " << setw(3) << i << ' ' << FIXED(12,5) << chi2_old << ' ' << FIXED(12,5) << chi2_new << ' ' << FIXED(5,2) << lambda << endl);

        if (fabs(chi2_old - chi2_new) < EPSILON*fabs(chi2_old)) {

          if (chi2_new > chi2_old) {

            p1      = step;
            p1     *= lambda;
            value  -= p1;                                      // undo last step

            return chi2_old;

          } else {

            return chi2_new;
          }
        }

        if (chi2_new < chi2_old) {

          chi2_old = chi2_new;

        } else {
            
          p1      = step;
          p1     *= lambda;
          value  -=  p1;                                       // step back
          lambda  = -lambda;                                   // change direction
          
          if (i != 0) {
            factor = 0.5;                                      // reduce step size
          }
        }
        
        lambda = factor * lambda;
      }

      return chi2_old;
    }

Member Data Documentation

template<class JModel_t>

int JFIT::JSimplex< JModel_t >::MAXIMUM_ITERATIONS = 1000

staticinherited

maximal number of iterations

maximal number of iterations.

Definition at line 237 of file JSimplex.hh.

template<class JModel_t>

double JFIT::JSimplex< JModel_t >::EPSILON = 1.0e-4

staticinherited

maximal distance to minimum

maximal distance to minimum.

Definition at line 238 of file JSimplex.hh.

template<class JModel_t>

JModel_t JFIT::JSimplex< JModel_t >::value

inherited

Definition at line 240 of file JSimplex.hh.

template<class JModel_t>

std::vector<JModel_t> JFIT::JSimplex< JModel_t >::step

inherited

Definition at line 241 of file JSimplex.hh.

template<class JModel_t>

int JFIT::JSimplex< JModel_t >::numberOfIterations

inherited

Definition at line 242 of file JSimplex.hh.

template<class T>

int JEEP::JMessage< T >::debug = 0

staticinherited

debug level (default is off).

Definition at line 45 of file JMessage.hh.

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The documentation for this struct was generated from the following file:

• JKatoomba_t.hh