Quantile Struct Reference

#include <Quantile.h>

Public Types
typedef std::vector< pair >	array
typedef std::pair< double, double >	pair

Public Member Functions
pair	fromHead (const double frac) const
pair	fromTail (const double frac) const
pair	operator() (const double frac) const
pair	operator[] (const double frac) const
	Quantile (const TH1 *h)

Private Member Functions
pair	calculateQ (const double frac, const bool fromHead) const
template<class T >
T	next (T bin, T end) const
template<class T >
T	prev (T bin, T begin) const

Private Attributes
array	head
const int	N
array	tail
const double	Total

Detailed Description

Definition at line 8 of file Quantile.h.

Member Typedef Documentation

typedef std::vector<pair> Quantile::array

Definition at line 10 of file Quantile.h.

typedef std::pair<double,double> Quantile::pair

Definition at line 9 of file Quantile.h.

Constructor & Destructor Documentation

Quantile::Quantile ( const TH1 *  h )

inline

Definition at line 15 of file Quantile.h.

References class-composition::H, head, i, N, and tail.

                         : 
    N( 1 + h->GetNbinsX()),
    Total(h->Integral(0,N))
  { for(int i=0;i<N; i++) {
      const double H = h->GetBinContent(i)   + (head.size()?head.back().second:0);
      const double T = h->GetBinContent(N-i) + (tail.size()?tail.back().second:0);  
      if(H) head.push_back( pair( h->GetBinWidth(i) + h->GetBinLowEdge(i) , H));
      if(T) tail.push_back( pair(                     h->GetBinLowEdge(N-i),T)); 
    }
  }

Member Function Documentation

pair Quantile::calculateQ ( const double  frac, const bool  fromHead  ) const

inlineprivate

Definition at line 31 of file Quantile.h.

References begin, newFWLiteAna::bin, end, f, cropTnPTrees::frac, head, bookConverter::max, next(), prev(), mathSSE::sqrt(), tail, and Total.

Referenced by fromHead(), and fromTail().

                                                                {
    const double f = frac<0.5 ? frac : 1-frac ;
    array::const_iterator 
      begin( ( (frac<0.5) == fromHead ) ?  head.begin() : tail.begin()), 
      end(   ( (frac<0.5) == fromHead ) ?  head.end()   : tail.end()), 
      bin(begin);

    while( bin->second < f*Total ) bin++;
//dk    if( bin==begin ) return pair(sqrt(-1),0);
    if( bin==begin ) return pair(-1,0);
  
    array::const_iterator 
      binNext( next(bin,end)),
      binPrev( prev(bin,begin)),
      binPPrev( prev(binPrev,begin));

    const double
      DX( binNext->first - binPPrev->first ),
      DY( (binNext->second - binPPrev->second)/Total ),

      dX( bin->first - binPrev->first ),
      dY( (bin->second - binPrev->second)/Total ),

      avgX( ( bin->first + binPrev->first) /2 ),
      avgY( ( bin->second + binPrev->second) /(2*Total) ),

      x_q( avgX + dX/dY * ( f - avgY ) ),
      xerr_q( std::max(fabs(DX/DY),fabs(dX/dY)) * sqrt(f*(1-f)/Total) );
    
    return pair(x_q,xerr_q);
  }

pair Quantile::fromHead ( const double  frac ) const

inline

Definition at line 26 of file Quantile.h.

References calculateQ().

Referenced by operator()().

{return calculateQ(frac,true);}

pair Quantile::fromTail ( const double  frac ) const

inline

Definition at line 27 of file Quantile.h.

References calculateQ().

Referenced by operator[]().

{return calculateQ(frac,false);}

template<class T >

T Quantile::next ( T  bin, T  end  ) const

inlineprivate

Definition at line 72 of file Quantile.h.

References newFWLiteAna::bin, and edm::second().

Referenced by BeautifulSoup.PageElement::_invert(), and calculateQ().

                                               {
    T binNext = bin;
    while( binNext<end-1 &&
       (++binNext)->second == bin->second) 
      ;
    return binNext;
  }

pair Quantile::operator() ( const double  frac ) const

inline

Definition at line 12 of file Quantile.h.

References fromHead().

{return fromHead(frac);}

pair Quantile::operator[] ( const double  frac ) const

inline

Definition at line 13 of file Quantile.h.

References fromTail().

{return fromTail(frac);}

template<class T >

T Quantile::prev ( T  bin, T  begin  ) const

inlineprivate

Definition at line 64 of file Quantile.h.

References newFWLiteAna::bin, and edm::second().

Referenced by calculateQ().

                                                 {
    T binPrev = bin;
    while( binPrev > begin && 
       (binPrev-1)->second == (bin-1)->second ) 
      binPrev--;
    return binPrev;
  }

Member Data Documentation

array Quantile::head

private

Definition at line 82 of file Quantile.h.

Referenced by calculateQ(), and Quantile().

const int Quantile::N

private

Definition at line 80 of file Quantile.h.

Referenced by Quantile().

array Quantile::tail

private

Definition at line 82 of file Quantile.h.

Referenced by calculateQ(), and Quantile().

const double Quantile::Total

private

Definition at line 81 of file Quantile.h.

Referenced by calculateQ().