NUHistoAxis.cc

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#include <cmath>
#include <cassert>
#include <climits>
#include "JetMETCorrections/InterpolationTables/interface/NpstatException.h"
#include <algorithm>
 
#include "Alignment/Geners/interface/binaryIO.hh"
#include "Alignment/Geners/interface/IOException.hh"
#include "JetMETCorrections/InterpolationTables/interface/NUHistoAxis.h"
 
#include "JetMETCorrections/InterpolationTables/interface/EquidistantSequence.h"
#include "JetMETCorrections/InterpolationTables/interface/closeWithinTolerance.h"
 
namespace npstat {
  NUHistoAxis::NUHistoAxis(const std::vector<double>& binEdges, const char* label)
      : binEdges_(binEdges), nBins_(binEdges.size() - 1U), uniform_(false) {
    if (!(binEdges_.size() > 1U && binEdges_.size() < UINT_MAX / 2U))
      throw npstat::NpstatInvalidArgument(
          "In npstat::NUHistoAxis constructor: "
          "number of bin edges is out of range");
    std::sort(binEdges_.begin(), binEdges_.end());
    min_ = binEdges_[0];
    max_ = binEdges_[nBins_];
    if (label)
      label_ = std::string(label);
  }
 
  NUHistoAxis::NUHistoAxis(const unsigned nBins, const double min, const double max, const char* label)
      : min_(min), max_(max), nBins_(nBins), uniform_(true) {
    if (!(nBins_ && nBins_ < UINT_MAX / 2U - 1U))
      throw npstat::NpstatInvalidArgument(
          "In npstat::NUHistoAxis constructor: "
          "number of bins is out of range");
    if (min_ > max_)
      std::swap(min_, max_);
    binEdges_ = EquidistantInLinearSpace(min_, max_, nBins + 1U);
    if (label)
      label_ = std::string(label);
  }
 
  NUHistoAxis NUHistoAxis::rebin(const unsigned newBins) const {
    return NUHistoAxis(newBins, min_, max_, label_.c_str());
  }
 
  bool NUHistoAxis::isClose(const NUHistoAxis& r, const double tol) const {
    if (!(closeWithinTolerance(min_, r.min_, tol) && closeWithinTolerance(max_, r.max_, tol) && label_ == r.label_ &&
          nBins_ == r.nBins_ && uniform_ == r.uniform_))
      return false;
    for (unsigned i = 0; i < nBins_; ++i)
      if (!closeWithinTolerance(binEdges_[i], r.binEdges_[i], tol))
        return false;
    return true;
  }
 
  bool NUHistoAxis::operator==(const NUHistoAxis& r) const {
    return min_ == r.min_ && max_ == r.max_ && label_ == r.label_ && nBins_ == r.nBins_ && binEdges_ == r.binEdges_ &&
           uniform_ == r.uniform_;
  }
 
  bool NUHistoAxis::operator!=(const NUHistoAxis& r) const { return !(*this == r); }
 
  int NUHistoAxis::binNumber(const double x) const {
    const int delta = std::upper_bound(binEdges_.begin(), binEdges_.end(), x) - binEdges_.begin();
    return delta - 1;
  }
 
  double NUHistoAxis::fltBinNumber(const double x, const bool mapLeftEdgeTo0) const {
    const int delta = std::upper_bound(binEdges_.begin(), binEdges_.end(), x) - binEdges_.begin();
    const int binnum = delta - 1;
 
    if (binnum < 0) {
      const double left = binEdges_[0];
      const double right = binEdges_[1];
      double bval = (x - left) / (right - left);
      if (!mapLeftEdgeTo0)
        bval -= 0.5;
      if (bval < -1.0)
        bval = -1.0;
      return bval;
    } else if (static_cast<unsigned>(binnum) >= nBins_) {
      const double left = binEdges_[nBins_ - 1U];
      const double right = binEdges_[nBins_];
      double bval = nBins_ - 1U + (x - left) / (right - left);
      if (!mapLeftEdgeTo0)
        bval -= 0.5;
      if (bval > static_cast<double>(nBins_))
        bval = nBins_;
      return bval;
    } else {
      const double left = binEdges_[binnum];
      const double right = binEdges_[delta];
      if (mapLeftEdgeTo0)
        return binnum + (x - left) / (right - left);
      else {
        // It is not obvious what is best to do here.
        // The following works to preserve interpolation
        // of 0th order. The commented out snippet below
        // would instead connect bin centers by straight
        // lines during interpolation.
        return binnum + (x - left) / (right - left) - 0.5;
 
        // Bin center is mapped to binnum.
        // Bin center of the next bin is mapped to binnum + 1.
        // Bin center of the previous bin is mapped to binnum - 1.
        //
        // const double binCenter = (left + right)/2.0;
        // if ((binnum == 0 && x <= binCenter) ||
        //     (static_cast<unsigned>(binnum) == nBins_ - 1 && x >= binCenter))
        //     return binnum + (x - left)/(right - left) - 0.5;
        // else if (x <= binCenter)
        // {
        //     const double otherBinCenter = (left + binEdges_[binnum - 1])/2.0;
        //     return binnum + (x - binCenter)/(binCenter - otherBinCenter);
        // }
        // else
        // {
        //     const double otherBinCenter = (right + binEdges_[binnum + 2])/2.0;
        //     return binnum + (x - binCenter)/(otherBinCenter - binCenter);
        // }
      }
    }
  }
 
  unsigned NUHistoAxis::closestValidBin(const double x) const {
    const int delta = std::upper_bound(binEdges_.begin(), binEdges_.end(), x) - binEdges_.begin();
    int binnum = delta - 1;
    if (binnum < 0)
      binnum = 0;
    else if (static_cast<unsigned>(binnum) >= nBins_)
      binnum = nBins_ - 1U;
    return binnum;
  }
 
  bool NUHistoAxis::write(std::ostream& of) const {
    gs::write_pod_vector(of, binEdges_);
    gs::write_pod(of, label_);
    unsigned char c = uniform_;
    gs::write_pod(of, c);
    return !of.fail();
  }
 
  NUHistoAxis* NUHistoAxis::read(const gs::ClassId& id, std::istream& in) {
    static const gs::ClassId current(gs::ClassId::makeId<NUHistoAxis>());
    current.ensureSameId(id);
 
    std::vector<double> binEdges;
    std::string label;
    unsigned char unif;
    gs::read_pod_vector(in, &binEdges);
    gs::read_pod(in, &label);
    gs::read_pod(in, &unif);
    if (in.fail())
      throw gs::IOReadFailure(
          "In npstat::UHistoAxis::read: "
          "input stream failure");
    NUHistoAxis* result = new NUHistoAxis(binEdges, label.c_str());
    result->uniform_ = unif;
    return result;
  }
}  // namespace npstat