vpMomentAlpha.cpp

/****************************************************************************
 *
 * This file is part of the ViSP software.
 * Copyright (C) 2005 - 2017 by Inria. All rights reserved.
 *
 * This software is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 * See the file LICENSE.txt at the root directory of this source
 * distribution for additional information about the GNU GPL.
 *
 * For using ViSP with software that can not be combined with the GNU
 * GPL, please contact Inria about acquiring a ViSP Professional
 * Edition License.
 *
 * See http://visp.inria.fr for more information.
 *
 * This software was developed at:
 * Inria Rennes - Bretagne Atlantique
 * Campus Universitaire de Beaulieu
 * 35042 Rennes Cedex
 * France
 *
 * If you have questions regarding the use of this file, please contact
 * Inria at visp@inria.fr
 *
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 * Description:
 * Alpha moment descriptor for in-plane orientation.
 *
 * Authors:
 * Filip Novotny
 *
 *****************************************************************************/

#include <cmath>
#include <visp3/core/vpMomentAlpha.h>
#include <visp3/core/vpMomentCentered.h>
#include <visp3/core/vpMomentGravityCenter.h>

vpMomentAlpha::vpMomentAlpha() : isRef(true), symmetric(false), ref(), alphaRef(0.) { values.resize(1); }

vpMomentAlpha::vpMomentAlpha(const std::vector<double> &ref_, double alpha_ref)
  : vpMoment(), isRef(false), symmetric(false), ref(ref_), alphaRef(alpha_ref)
{
  for (std::vector<double>::const_iterator it = ref_.begin(); it != ref_.end(); ++it)
    if (std::fabs(*it) <= 1e-4)
      symmetric = true;

  values.resize(1);
}

void vpMomentAlpha::compute()
{
  // symmetric = symmetric | this->getObject().isSymmetric();
  bool found_moment_centered;

  const vpMomentCentered &momentCentered =
      (static_cast<const vpMomentCentered &>(getMoments().get("vpMomentCentered", found_moment_centered)));

  if (!found_moment_centered)
    throw vpException(vpException::notInitialized, "vpMomentCentered not found");

  double t = 2.0 * momentCentered.get(1, 1) / (momentCentered.get(2, 0) - momentCentered.get(0, 2));
  // double alpha = 0.5 * atan2(2.0 * momentCentered.get(1, 1),
  // (momentCentered.get(2, 0) - momentCentered.get(0, 2)));
  double alpha = 0.5 * atan(t);

  std::vector<double> rotMu(4);
  // std::vector<double> realMu(4);

  if (isRef) {
    alphaRef = alpha;
  } else {
    if (!symmetric) {
      double r11 = cos(alpha - alphaRef);
      double r12 = sin(alpha - alphaRef);
      double r21 = -r12;
      double r22 = r11;
      unsigned int idx = 0;
      unsigned int order = 4;
      for (unsigned int c = 0; c < (order) * (order); c++) {
        unsigned int i = c % order;
        unsigned int j = c / order;

        if (i + j == 3) {
          double r11_k = 1.;
          for (unsigned int k = 0; k <= i; k++) {
            double r12_i_k = pow(r12, (int)(i - k));
            double comb_i_k = static_cast<double>(vpMath::comb(i, k));
            for (unsigned int l = 0; l <= j; l++) {
              rotMu[idx] += static_cast<double>(comb_i_k * vpMath::comb(j, l) * r11_k * pow(r21, (int)l) * r12_i_k *
                                                pow(r22, (int)(j - l)) *
                                                momentCentered.get(k + l, (unsigned int)(int)(i + j - k - l)));
            }
            r11_k *= r11;
          }
          // realMu[idx] = momentCentered.get(i, j);
          idx++;
        }
      }

      double sum = 0.;
      bool signChange = true;
      for (unsigned int i = 0; i < 4; i++) {
        if (std::fabs(rotMu[i]) > 1e10 * std::numeric_limits<double>::epsilon() &&
            std::fabs(ref[i]) > 1e10 * std::numeric_limits<double>::epsilon() && rotMu[i] * ref[i] > 0)
          signChange = false;
        sum += std::fabs(rotMu[i] * ref[i]);
      }

      if (sum < 1e4 * std::numeric_limits<double>::epsilon())
        signChange = false;
      if (signChange) {
        // alpha = alpha + M_PI;
        if (alpha < 0)
          alpha += M_PI;
        else
          alpha -= M_PI;
      }
    }
  }
  values[0] = alpha;
}

VISP_EXPORT std::ostream &operator<<(std::ostream &os, const vpMomentAlpha &c)
{
  os << (__FILE__) << std::endl;
  os << "Alpha = " << c.values[0] << "rad = " << vpMath::deg(c.values[0]) << "deg " << std::endl;
  return os;
}

void vpMomentAlpha::printDependencies(std::ostream &os) const
{
  os << (__FILE__) << std::endl;
  bool found_moment_centered;
  const vpMomentCentered &momentCentered =
      (static_cast<const vpMomentCentered &>(getMoments().get("vpMomentCentered", found_moment_centered)));
  if (!found_moment_centered)
    throw vpException(vpException::notInitialized, "vpMomentCentered not found");

  os << "mu11 = " << momentCentered.get(1, 1) << "\t";
  os << "mu20 = " << momentCentered.get(2, 0) << "\t";
  os << "mu02 = " << momentCentered.get(0, 2) << std::endl;
}