libthepeg-dev 1.8.0-3build1 / usr / include / ThePEG / Analysis / LWH / Histogram1D.h

// -*- C++ -*-
//
// Histogram1D.h is a part of ThePEG - Toolkit for HEP Event Generation
// Copyright (C) 1999-2011 Leif Lonnblad
//
// ThePEG is licenced under version 2 of the GPL, see COPYING for details.
// Please respect the MCnet academic guidelines, see GUIDELINES for details.
//
#ifndef LWH_Histogram1D_H
#define LWH_Histogram1D_H
//
// This is the declaration of the Histogram1D class.
//

#include "AIHistogram1D.h"
#include "ManagedObject.h"
#include "Axis.h"
#include "VariAxis.h"
#include <vector>
#include <stdexcept>

namespace LWH {

using namespace AIDA;

/**
 * User level interface to 1D Histogram.
 */
class Histogram1D: public IHistogram1D, public ManagedObject {

public:

  /** HistFactory is a friend. */
  friend class HistogramFactory;

public:

  /**
   * Standard constructor.
   */
  Histogram1D(int n, double lo, double up)
    : fax(new Axis(n, lo, up)), vax(0),
      sum(n + 2), sumw(n + 2), sumw2(n + 2), sumxw(n + 2), sumx2w(n + 2) {
    ax = fax;
  }

  /**
   * Standard constructor for variable bin width.
   */
  Histogram1D(const std::vector<double> & edges)
    : fax(0), vax(new VariAxis(edges)),
      sum(edges.size() + 1), sumw(edges.size() + 1), sumw2(edges.size() + 1),
      sumxw(edges.size() + 1), sumx2w(edges.size() + 1) {
    ax = vax;
  }

  /**
   * Copy constructor.
   */
  Histogram1D(const Histogram1D & h)
    : IBaseHistogram(h), IHistogram(h), IHistogram1D(h), ManagedObject(h),
      fax(0), vax(0), sum(h.sum), sumw(h.sumw), sumw2(h.sumw2),
      sumxw(h.sumxw), sumx2w(h.sumx2w) {
    const VariAxis * hvax = dynamic_cast<const VariAxis *>(h.ax);
    if ( vax ) ax = vax = new VariAxis(*hvax);
    else ax = fax = new Axis(dynamic_cast<const Axis &>(*h.ax));
}

  /// Destructor.
  virtual ~Histogram1D() {
    delete ax;
  }

  /**
   * Get the Histogram's title.
   * @return The Histogram's title.
   */
  std::string title() const {
    return theTitle;
  }

  /**
   * Get the Histogram's title.
   * @return The Histogram's title.
   */
  std::string name() const {
    return theTitle;
  }

  /**
   * Set the histogram title.
   * @param title The title.
   * @return false If title cannot be changed.
   */
  bool setTitle(const std::string & title) {
    theTitle = title;
    return true;
  }

  /**
   * Not implemented in LWH. will throw an exception.
   */
  IAnnotation & annotation() {
    throw std::runtime_error("LWH cannot handle annotations");
  }

  /**
   * Not implemented in LWH. will throw an exception.
   */
  const IAnnotation & annotation() const {
    throw std::runtime_error("LWH cannot handle annotations");
  }

  /**
   * Get the Histogram's dimension.
   * @return The Histogram's dimension.
   */ 
  int dimension() const {
    return 1;
  }

  /**
   * Reset the Histogram; as if just created.
   * @return false If something goes wrong.
   */
  bool reset() {
    sum = std::vector<int>(ax->bins() + 2);
    sumw = std::vector<double>(ax->bins() + 2);
    sumxw = std::vector<double>(ax->bins() + 2);
    sumx2w = std::vector<double>(ax->bins() + 2);
    sumw2 = std::vector<double>(ax->bins() + 2);
    return true;
  }

  /**
   * Get the number of in-range entries in the Histogram.
   * @return The number of in-range entries.
   *
   */ 
  int entries() const {
    int si = 0;
    for ( int i = 2; i < ax->bins() + 2; ++i ) si += sum[i];
    return si;
  }

  /**
   * Sum of the entries in all the IHistogram's bins,
   * i.e in-range bins, UNDERFLOW and OVERFLOW.
   * This is equivalent to the number of times the
   * method fill was invoked.
   * @return The sum of all the entries.
   */
  int allEntries() const {
    return entries() + extraEntries();
  }

  /**
   * Number of entries in the UNDERFLOW and OVERFLOW bins.
   * @return The number of entries outside the range of the IHistogram.
   */
  int extraEntries() const {
    return sum[0] + sum[1];
  }

  /**
   * Number of equivalent entries,
   * i.e. <tt>SUM[ weight ] ^ 2 / SUM[ weight^2 ]</tt>
   * @return The number of equivalent entries.
   */
  double equivalentBinEntries() const {
    double sw = 0.0;
    double sw2 = 0.0;
    for ( int i = 2; i < ax->bins() + 2; ++i ) {
      sw += sumw[i];
      sw2 += sumw2[i];
    }
    return sw2/(sw*sw);
  }
    
  /**
   * Sum of in-range bin heights in the IHistogram,
   * UNDERFLOW and OVERFLOW bins are excluded.
   * @return The sum of the in-range bins heights.
   *
   */
  double sumBinHeights() const {
    double sw = 0.0;
    for ( int i = 2; i < ax->bins() + 2; ++i ) sw += sumw[i];
    return sw;
  }
    
  /**
   * Sum of the heights of all the IHistogram's bins,
   * i.e in-range bins, UNDERFLOW and OVERFLOW.
   * @return The sum of all the bins heights.
   */
  double sumAllBinHeights() const {
    return sumBinHeights() + sumExtraBinHeights();
  }

  /**
   * Sum of heights in the UNDERFLOW and OVERFLOW bins.
   * @return The sum of the heights of the out-of-range bins.
   */
  double sumExtraBinHeights() const {
    return sumw[0] + sumw[1];
  }

  /**
   * Minimum height of the in-range bins,
   * i.e. not considering the UNDERFLOW and OVERFLOW bins.
   * @return The minimum height among the in-range bins.
   */
  double minBinHeight() const {
    double minw = sumw[2];
    for ( int i = 3; i < ax->bins() + 2; ++i ) minw = std::min(minw, sumw[i]);
    return minw;
  }

  /**
   * Maximum height of the in-range bins,
   * i.e. not considering the UNDERFLOW and OVERFLOW bins.
   * @return The maximum height among the in-range bins.
   */
  double maxBinHeight() const{
    double maxw = sumw[2];
    for ( int i = 3; i < ax->bins() + 2; ++i ) maxw = std::max(maxw, sumw[i]);
    return maxw;
  }

  /**
   * Fill the IHistogram1D with a value and the
   * corresponding weight.
   * @param x      The value to be filled in.
   * @param weight The corresponding weight (by default 1).
   * @return false If the weight is <0 or >1 (?).
   */
  bool fill(double x, double weight = 1.) {
    int i = ax->coordToIndex(x) + 2;
    ++sum[i];
    sumw[i] += weight;
    sumxw[i] += x*weight;
    sumx2w[i] += x*x*weight;
    sumw2[i] += weight*weight;
    return weight >= 0 && weight <= 1;
  }

  /**
   * The weighted mean of a bin. 
   * @param index The bin number (0...N-1) or OVERFLOW or UNDERFLOW.
   * @return      The mean of the corresponding bin.
   */
  double binMean(int index) const {
    int i = index + 2;
    return sumw[i] != 0.0? sumxw[i]/sumw[i]:
      ( vax? vax->binMidPoint(index): fax->binMidPoint(index) );
  };

  /**
   * The weighted RMS of a bin. 
   * @param index The bin number (0...N-1) or OVERFLOW or UNDERFLOW.
   * @return      The RMS of the corresponding bin.
   */
  double binRms(int index) const {
    int i = index + 2;
    return sumw[i] == 0.0 || sum[i] < 2? ax->binWidth(index):
      std::sqrt(std::max(sumw[i]*sumx2w[i] - sumxw[i]*sumxw[i], 0.0))/sumw[i];
  };

  /**
   * Number of entries in the corresponding bin (ie the number of
   * times fill was called for this bin).
   * @param index The bin number (0...N-1) or OVERFLOW or UNDERFLOW.
   * @return      The number of entries in the corresponding bin. 
   */
  int binEntries(int index) const {
    return sum[index + 2];
  }

  /**
   * Total height of the corresponding bin (ie the sum of the weights
   * in this bin).
   * @param index The bin number (0...N-1) or OVERFLOW or UNDERFLOW.
   * @return      The height of the corresponding bin.
   */
  double binHeight(int index) const {
    return sumw[index + 2];
  }

  /**
   * The error of a given bin.
   * @param index The bin number (0...N-1) or OVERFLOW or UNDERFLOW.
   * @return      The error on the corresponding bin.
   *
   */
  double binError(int index) const {
    return std::sqrt(sumw2[index + 2]);
  }

  /**
   * The mean of the whole IHistogram1D.
   * @return The mean of the IHistogram1D.
   */
  double mean() const {
    double s = 0.0;
    double sx = 0.0;
    for ( int i = 2; i < ax->bins() + 2; ++i ) {
      s += sumw[i];
      sx += sumxw[i];
    }
    return s != 0.0? sx/s: 0.0;
  }

  /**
   * The RMS of the whole IHistogram1D.
   * @return The RMS if the IHistogram1D.
   */
  double rms() const {
    double s = 0.0;
    double sx = 0.0;
    double sx2 = 0.0;
    for ( int i = 2; i < ax->bins() + 2; ++i ) {
      s += sumw[i];
      sx += sumxw[i];
      sx2 += sumx2w[i];
    }
    return s != 0.0? std::sqrt(std::max(s*sx2 - sx*sx, 0.0))/s:
      ax->upperEdge() - ax->lowerEdge();
  }

  /**
   * Get the x axis of the IHistogram1D.
   * @return The x coordinate IAxis.
   */
  const IAxis & axis() const {
    return *ax;
  }

  /**
   * Get the bin number corresponding to a given coordinate along the
   * x axis.  This is a convenience method, equivalent to
   * <tt>axis().coordToIndex(coord)</tt>.
   * @param coord The coordinalte along the x axis.
   * @return      The corresponding bin number.
   */
  int coordToIndex(double coord) const {
    return ax->coordToIndex(coord);
  }
  
  /**
   * Add to this Histogram1D the contents of another IHistogram1D.
   * @param h The Histogram1D to be added to this IHistogram1D.
   * @return false If the IHistogram1Ds binnings are incompatible.
   */
  bool add(const Histogram1D & h) {
    if ( ax->upperEdge() != h.ax->upperEdge() ||
	 ax->lowerEdge() != h.ax->lowerEdge() ||
	 ax->bins() != h.ax->bins() ) return false;
    for ( int i = 0; i < ax->bins() + 2; ++i ) {
      sum[i] += h.sum[i];
      sumw[i] += h.sumw[i];
      sumxw[i] += h.sumxw[i];
      sumx2w[i] += h.sumx2w[i];
      sumw2[i] += h.sumw2[i];
    }
    return true;
  }

  /**
   * Add to this IHistogram1D the contents of another IHistogram1D.
   * @param hist The IHistogram1D to be added to this IHistogram1D.
   * @return false If the IHistogram1Ds binnings are incompatible.
   */
  bool add(const IHistogram1D & hist) {
    return add(dynamic_cast<const Histogram1D &>(hist));
  }

  /**
   * Scale the contents of this histogram with the given factor.
   * @param s the scaling factor to use.
   */
  bool scale(double s) {
    for ( int i = 0; i < ax->bins() + 2; ++i ) {
      sumw[i] *= s;
      sumxw[i] *= s;
      sumx2w[i] *= s;
      sumw2[i] *= s*s;
    }
    return true;
  }

  /**
   * Scale the given histogram so that the integral over all bins
   * (including overflow) gives \a intg. This function also corrects
   * for the bin-widths, which means that it should only be run once
   * for each histogram. Further rescaling must be done with the
   * scale(double) function.
   */
  void normalize(double intg) {
    double oldintg = sumAllBinHeights();
    if ( oldintg == 0.0 ) return;
    for ( int i = 0; i < ax->bins() + 2; ++i ) {
      double fac = intg/oldintg;
      if ( i >= 2 ) fac /= (ax->binUpperEdge(i - 2) - ax->binLowerEdge(i - 2));
      sumw[i] *= fac;
      sumxw[i] *= fac;
      sumx2w[i] *= fac;
      sumw2[i] *= fac*fac;
    }
  }

  /**
   * Return the integral over the histogram bins assuming it has been
   * normalize()d.
   */
  double integral() const {
    double intg = sumw[0] + sumw[1];
    for ( int i = 2; i < ax->bins() + 2; ++i )
      intg += sumw[i]*(ax->binUpperEdge(i - 2) - ax->binLowerEdge(i - 2));
    return intg;
  }

  /**
   * Not implemented in LWH.
   * @return null pointer always.
   */ 
  void * cast(const std::string &) const {
    return 0;
  }

  /**
   * Write out the histogram in the AIDA xml format.
   */
  bool writeXML(std::ostream & os, std::string path, std::string name) {
    os << "  <histogram1d name=\"" << name
       << "\"\n    title=\"" << title()
       << "\" path=\"" << path
       << "\">\n    <axis max=\"" << ax->upperEdge()
       << "\" numberOfBins=\"" << ax->bins()
       << "\" min=\"" << ax->lowerEdge()
       << "\" direction=\"x\"";
    if ( vax ) {
      os << ">\n";
      for ( int i = 0, N = ax->bins() - 1; i < N; ++i )
	os << "      <binBorder value=\"" << ax->binUpperEdge(i) << "\"/>\n";
      os << "    </axis>\n";
    } else {
      os << "/>\n";
    }
    os << "    <statistics entries=\"" << entries()
       << "\">\n      <statistic mean=\"" << mean()
       << "\" direction=\"x\"\n        rms=\"" << rms()
       << "\"/>\n    </statistics>\n    <data1d>\n";
    for ( int i = 0; i < ax->bins() + 2; ++i ) if ( sum[i] ) {
      os << "      <bin1d binNum=\"";
      if ( i == 0 ) os << "UNDERFLOW";
      else if ( i == 1 ) os << "OVERFLOW";
      else os << i - 2;
      os << "\" entries=\"" << sum[i]
	 << "\" height=\"" << sumw[i]
	 << "\"\n        error=\"" << std::sqrt(sumw2[i])
	 << "\" error2=\"" << sumw2[i]
	 << "\"\n        weightedMean=\"" << binMean(i - 2)
	 << "\" weightedRms=\"" << binRms(i - 2)
	 << "\"/>\n";
    }
    os << "    </data1d>\n  </histogram1d>" << std::endl;
    return true;
  }


  /**
   * Write out the histogram in a flat text file suitable for
   * eg. gnuplot to read. The coloums are layed out as 'x w w2 n'.
   */
  bool writeFLAT(std::ostream & os, std::string path, std::string name) {
    os << "# " << path << "/" << name << " " << ax->lowerEdge()
       << " " << ax->bins() << " " << ax->upperEdge()
       << " \"" << title() << " \"" << std::endl;
    for ( int i = 2; i < ax->bins() + 2; ++i )
      os << 0.5*(ax->binLowerEdge(i - 2) + ax->binUpperEdge(i - 2)) << " "
	 << sumw[i] << " " << sqrt(sumw2[i]) << " " << sum[i] << std::endl;
    os << std::endl;
    return true;
  }

private:

  /** The title */
  std::string theTitle;

  /** The axis. */
  IAxis * ax;

  /** Pointer (possibly null) to a axis with fixed bin width. */
  Axis * fax;

  /** Pointer (possibly null) to a axis with fixed bin width. */
  VariAxis * vax;

  /** The counts. */
  std::vector<int> sum;

  /** The weights. */
  std::vector<double> sumw;

  /** The squared weights. */
  std::vector<double> sumw2;

  /** The weighted x-values. */
  std::vector<double> sumxw;

  /** The weighted x-square-values. */
  std::vector<double> sumx2w;

  /** dummy pointer to non-existen annotation. */
  IAnnotation * anno;

};

}

#endif /* LWH_Histogram1D_H */