GaussianTailNoiseGenerator.cc

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#include "CLHEP/Random/RandFlat.h"
#include "CLHEP/Random/RandGaussQ.h"
#include "CLHEP/Random/RandPoissonQ.h"
#include "SimGeneral/NoiseGenerators/interface/GaussianTailNoiseGenerator.h"
 
#include <cmath>
 
#include <gsl/gsl_sf_erf.h>
#include <gsl/gsl_sf_result.h>
 
GaussianTailNoiseGenerator::GaussianTailNoiseGenerator() {
  // we have two cases: 512 and 768 channels
  // other cases are not allowed so far (performances issue)
  for (unsigned int i = 0; i < 512; ++i)
    channel512_[i] = i;
  for (unsigned int i = 0; i < 768; ++i)
    channel768_[i] = i;
}
 
// this version is used by pixel
void GaussianTailNoiseGenerator::generate(int NumberOfchannels,
                                          float threshold,
                                          float noiseRMS,
                                          std::map<int, float, std::less<int>> &theMap,
                                          CLHEP::HepRandomEngine *engine) {
  // Gaussian tail probability
  gsl_sf_result result;
  int status = gsl_sf_erf_Q_e(threshold, &result);
 
  if (status != 0)
    std::cerr << "GaussianTailNoiseGenerator::could not compute gaussian tail "
                 "probability for the threshold chosen"
              << std::endl;
 
  float probabilityLeft = result.val;
  float meanNumberOfNoisyChannels = probabilityLeft * NumberOfchannels;
 
  CLHEP::RandPoissonQ randPoissonQ(*engine, meanNumberOfNoisyChannels);
  int numberOfNoisyChannels = randPoissonQ.fire();
 
  float lowLimit = threshold * noiseRMS;
  for (int i = 0; i < numberOfNoisyChannels; i++) {
    // Find a random channel number
    int theChannelNumber = (int)CLHEP::RandFlat::shoot(engine, NumberOfchannels);
 
    // Find random noise value
    double noise = generate_gaussian_tail(lowLimit, noiseRMS, engine);
 
    // Fill in map
    theMap[theChannelNumber] = noise;
  }
}
 
// this version is used by strips
void GaussianTailNoiseGenerator::generate(int NumberOfchannels,
                                          float threshold,
                                          float noiseRMS,
                                          std::vector<std::pair<int, float>> &theVector,
                                          CLHEP::HepRandomEngine *engine) {
  // Compute number of channels with noise above threshold
  // Gaussian tail probability
  gsl_sf_result result;
  int status = gsl_sf_erf_Q_e(threshold, &result);
  if (status != 0)
    std::cerr << "GaussianTailNoiseGenerator::could not compute gaussian tail "
                 "probability for the threshold chosen"
              << std::endl;
  double probabilityLeft = result.val;
  double meanNumberOfNoisyChannels = probabilityLeft * NumberOfchannels;
 
  CLHEP::RandPoissonQ randPoissonQ(*engine, meanNumberOfNoisyChannels);
  int numberOfNoisyChannels = randPoissonQ.fire();
 
  if (numberOfNoisyChannels > NumberOfchannels)
    numberOfNoisyChannels = NumberOfchannels;
 
  // Compute the list of noisy channels
  theVector.reserve(numberOfNoisyChannels);
  float lowLimit = threshold * noiseRMS;
  int *channels = getRandomChannels(numberOfNoisyChannels, NumberOfchannels, engine);
 
  for (int i = 0; i < numberOfNoisyChannels; i++) {
    // Find random noise value
    double noise = generate_gaussian_tail(lowLimit, noiseRMS, engine);
    // Fill in the vector
    theVector.push_back(std::pair<int, float>(channels[i], noise));
  }
}
 
/*
// used by strips in VR mode
void GaussianTailNoiseGenerator::generateRaw(int NumberOfchannels,
                                             float noiseRMS,
                                             std::vector<std::pair<int,float> >
&theVector, CLHEP::HepRandomEngine* engine ) {
  theVector.reserve(NumberOfchannels);
  for (int i = 0; i < NumberOfchannels; i++) {
    // Find random noise value
    float noise = CLHEP::RandGaussQ::shoot(engine, 0., noiseRMS);
    // Fill in the vector
    theVector.push_back(std::pair<int, float>(i,noise));
  }
}
*/
 
// used by strips in VR mode
void GaussianTailNoiseGenerator::generateRaw(float noiseRMS,
                                             std::vector<double> &theVector,
                                             CLHEP::HepRandomEngine *engine) {
  // it was shown that a complex approach, inspired from the ZS case,
  // does not allow to gain much.
  // A cut at 2 sigmas only saves 25% of the processing time, while the cost
  // in terms of meaning is huge.
  // We therefore use here the trivial approach (as in the early 2XX cycle)
  unsigned int numberOfchannels = theVector.size();
  for (unsigned int i = 0; i < numberOfchannels; ++i) {
    if (theVector[i] == 0)
      theVector[i] = CLHEP::RandGaussQ::shoot(engine, 0., noiseRMS);
  }
}
 
int *GaussianTailNoiseGenerator::getRandomChannels(int numberOfNoisyChannels,
                                                   int numberOfchannels,
                                                   CLHEP::HepRandomEngine *engine) {
  if (numberOfNoisyChannels > numberOfchannels)
    numberOfNoisyChannels = numberOfchannels;
  int *array = channel512_;
  if (numberOfchannels == 768)
    array = channel768_;
  int theChannelNumber;
  for (int j = 0; j < numberOfNoisyChannels; ++j) {
    theChannelNumber = (int)CLHEP::RandFlat::shoot(engine, numberOfchannels - j) + j;
    // swap the two array elements... this is optimized by the compiler
    int b = array[j];
    array[j] = array[theChannelNumber];
    array[theChannelNumber] = b;
  }
  return array;
}
 
double GaussianTailNoiseGenerator::generate_gaussian_tail(const double a,
                                                          const double sigma,
                                                          CLHEP::HepRandomEngine *engine) {
  /* Returns a gaussian random variable larger than a
   * This implementation does one-sided upper-tailed deviates.
   */
 
  double s = a / sigma;
 
  if (s < 1) {
    /*
      For small s, use a direct rejection method. The limit s < 1
      can be adjusted to optimise the overall efficiency
    */
    double x;
 
    do {
      x = CLHEP::RandGaussQ::shoot(engine, 0., 1.0);
    } while (x < s);
    return x * sigma;
 
  } else {
    /* Use the "supertail" deviates from the last two steps
     * of Marsaglia's rectangle-wedge-tail method, as described
     * in Knuth, v2, 3rd ed, pp 123-128.  (See also exercise 11, p139,
     * and the solution, p586.)
     */
 
    double u, v, x;
 
    do {
      u = CLHEP::RandFlat::shoot(engine);
      do {
        v = CLHEP::RandFlat::shoot(engine);
      } while (v == 0.0);
      x = sqrt(s * s - 2 * log(v));
    } while (x * u > s);
    return x * sigma;
  }
}