JACOUSTICS::JKatoomba< JSimplex > Struct 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 The option corresponds to the use of fit parameters in the model of the detector geometry.
double	operator() (const JModel &model, const JHit &hit) const
	Fit function.
template<class T >
double	operator() (T __begin, T __end)
	Fit.
template<class JFunction_t , class T >
double	operator() (const JFunction_t &fit, T __begin, T __end)
	Multi-dimensional fit.
template<class JFunction_t , class T >
double	operator() (const JFunction_t &fit, T __begin, T __end, const JModel_t &step)
	1D fit.

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

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

Private Member Functions
template<class JFunction_t , class T >
double	evaluate (const JFunction_t &fit, T __begin, T __end) const
	Evaluate chi2 for given data set.

Private Attributes
JModel_t	p0
JModel_t	p1
JModel_t	wall

Detailed Description

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

Definition at line 582 of file JKatoomba_t.hh.

Member Typedef Documentation

result_type

template<class JModel_t >

double JFIT::JSimplex< JModel_t >::result_type

inherited

Definition at line 47 of file JSimplex.hh.

Constructor & Destructor Documentation

JKatoomba()

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

inline

Constructor The option corresponds to the use of fit parameters in the model of the detector geometry.

A negative implies that all strings in the detector use common fit parameters.

Parameters

geometry	detector geometry
velocity	sound velocity
option	option

Definition at line 595 of file JKatoomba_t.hh.

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

Member Function Documentation

operator()() [1/4]

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 610 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);
    }

operator()() [2/4]

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 627 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);
    }

operator()() [3/4]

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;
    }

operator()() [4/4]

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;
    }

evaluate()

template<class JModel_t >

template<class JFunction_t , class T >

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

inlineprivateinherited

Evaluate chi2 for given data set.

Parameters

fit	fit function
__begin	begin of data
__end	end of data

Definition at line 253 of file JSimplex.hh.

    {
      double chi2 = 0.0;
 
      for (T hit = __begin; hit != __end; ++hit) {
        chi2 += fit(value, *hit);
      }
 
      return chi2;
    }

Member Data Documentation

MAXIMUM_ITERATIONS

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.

EPSILON

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.

value

template<class JModel_t >

JModel_t JFIT::JSimplex< JModel_t >::value

inherited

Definition at line 240 of file JSimplex.hh.

step

template<class JModel_t >

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

inherited

Definition at line 241 of file JSimplex.hh.

numberOfIterations

template<class JModel_t >

int JFIT::JSimplex< JModel_t >::numberOfIterations

inherited

Definition at line 242 of file JSimplex.hh.

p0

template<class JModel_t >

JModel_t JFIT::JSimplex< JModel_t >::p0

mutableprivateinherited

Definition at line 264 of file JSimplex.hh.

p1

template<class JModel_t >

JModel_t JFIT::JSimplex< JModel_t >::p1

mutableprivateinherited

Definition at line 265 of file JSimplex.hh.

wall

template<class JModel_t >

JModel_t JFIT::JSimplex< JModel_t >::wall

mutableprivateinherited

Definition at line 266 of file JSimplex.hh.

debug

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