// Copyright (c) 2009  INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v5.6.2/Filtered_kernel/include/CGAL/Filtered_kernel/internal/Static_filters/Power_side_of_oriented_power_sphere_3.h $
// $Id: Power_side_of_oriented_power_sphere_3.h 5945e48a3ed 2021-09-17T08:14:06+02:00 Sébastien Loriot
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s)     : Sebastien Loriot
// This predicates was generated using the fpg tool written by Andreas Meyer.
//

#ifndef CGAL_INTERNAL_STATIC_FILTERS_POWER_TEST_3_H
#define CGAL_INTERNAL_STATIC_FILTERS_POWER_TEST_3_H

#include <CGAL/Profile_counter.h>
#include <CGAL/Filtered_kernel/internal/Static_filters/Static_filter_error.h>
#include <CGAL/Filtered_kernel/internal/Static_filters/tools.h>
#include <cmath>


namespace CGAL { namespace internal { namespace Static_filters_predicates {

  template <typename K_base>
  class Power_side_of_oriented_power_sphere_3:
    public K_base::Power_side_of_oriented_power_sphere_3
  {
    typedef typename K_base::Weighted_point_3 Weighted_point_3;
    typedef typename K_base::FT FT;
    typedef typename K_base::Power_side_of_oriented_power_sphere_3 Base;
  public:
    typedef typename Base::result_type result_type;

    using Base::operator();

    void
    msvc_workaround(double& max1, double& max2, double& max3, double& max4, double& max5, double&  RT_tmp_result,
                    double px, double  py, double  pz, double  pwt,
                    double qx, double  qy, double  qz, double  qwt,
                    double  rx, double  ry, double  rz, double  rwt,
                    double  sx, double  sy, double  sz, double  swt,
                    double  tx, double  ty, double  tz, double  twt) const
    {
      double dpx = (px - tx);
      double dpy = (py - ty);
      double dpz = (pz - tz);
      double twt_pwt = (twt - pwt);
      double dpt = (((square( dpx ) + square( dpy )) + square( dpz )) + twt_pwt);
      double dqx = (qx - tx);
      double dqy = (qy - ty);
      double dqz = (qz - tz);
      double twt_qwt = (twt - qwt);
      double dqt = (((square( dqx ) + square( dqy )) + square( dqz )) + twt_qwt);
      double drx = (rx - tx);
      double dry = (ry - ty);
      double drz = (rz - tz);
      double twt_rwt = (twt - rwt);
      double drt = (((square( drx ) + square( dry )) + square( drz )) + twt_rwt);
      double dsx = (sx - tx);
      double dsy = (sy - ty);
      double dsz = (sz - tz);
      double twt_swt = (twt - swt);
      double dst = (((square( dsx ) + square( dsy )) + square( dsz )) + twt_swt);

      //        double
      RT_tmp_result = CGAL::determinant( dpx, dpy, dpz, dpt, dqx, dqy, dqz, dqt, drx, dry, drz, drt, dsx, dsy, dsz, dst );

      //        double
      max2 = CGAL::abs(dpx);


      double adqx = CGAL::abs(dqx);
      double adqy = CGAL::abs(dqy);
      double adqz = CGAL::abs(dqz);

      double adrx = CGAL::abs(drx);
      double adry = CGAL::abs(dry);
      double adrz = CGAL::abs(drz);

      double adsx = CGAL::abs(dsx);
      double adsy = CGAL::abs(dsy);
      double adsz = CGAL::abs(dsz);

      double atwt_qwt = CGAL::abs(twt_qwt);
      double atwt_rwt = CGAL::abs(twt_rwt);
      double atwt_swt = CGAL::abs(twt_swt);

      if( (max2 < adqx) ) max2 = adqx;
      if( (max2 < adrx) ) max2 = adrx;
      if( (max2 < adsx) ) max2 = adsx;
      max1 = max2;
      max3 = CGAL::abs(dpy);
      if( (max3 < adqy) ) max3 = adqy;
      if( (max3 < adry) ) max3 = adry;
      if( (max3 < adsy) ) max3 = adsy;
      if( (max1 < max3) )      max1 = max3;
      max4 = CGAL::abs(dpz);
      if( (max4 < adqz) ) max4 = adqz;
      if( (max4 < adrz) ) max4 = adrz;
      if( (max4 < adsz) ) max4 = adsz;
      if( (max1 < max4) )      max1 = max4;
      max5 = CGAL::abs(twt_pwt);
      if( (max5 < atwt_qwt) ) max5 = atwt_qwt;
      if( (max5 < atwt_rwt) ) max5 = atwt_rwt;
      if( (max5 < atwt_swt) ) max5 = atwt_swt;
    }


    result_type operator() ( const Weighted_point_3 & p,
                             const Weighted_point_3 & q,
                             const Weighted_point_3 & r,
                             const Weighted_point_3 & s,
                             const Weighted_point_3 & t) const
    {
      CGAL_BRANCH_PROFILER_3("semi-static failures/attempts/calls to   : Power_side_of_power_sphere_3 with 4+1 wpoints", tmp);

      double px, py, pz, pwt, qx, qy, qz, qwt, rx, ry, rz, rwt, sx, sy, sz, swt, tx, ty, tz, twt;
      init_double(px, py, pz, pwt, qx, qy, qz, qwt, rx, ry, rz, rwt, (FT*)(0));
      init_double(sx, sy, sz, swt, tx, ty, tz, twt, (FT*)(0));
      if( fit_in_double(p.x(), px) && fit_in_double(p.y(), py)       &&
          fit_in_double(p.z(), pz) && fit_in_double(p.weight(), pwt) &&
          fit_in_double(q.x(), qx) && fit_in_double(q.y(), qy)       &&
          fit_in_double(q.z(), qz) && fit_in_double(q.weight(), qwt) &&
          fit_in_double(r.x(), rx) && fit_in_double(r.y(), ry)       &&
          fit_in_double(r.z(), rz) && fit_in_double(r.weight(), rwt) &&
          fit_in_double(s.x(), sx) && fit_in_double(s.y(), sy)       &&
          fit_in_double(s.z(), sz) && fit_in_double(s.weight(), swt) &&
          fit_in_double(t.x(), tx) && fit_in_double(t.y(), ty)       &&
          fit_in_double(t.z(), tz) && fit_in_double(t.weight(), twt)
        )
      {
        CGAL_BRANCH_PROFILER_BRANCH_1(tmp);

        // We split the operator as we get an ICE with VC9 and VC10
        // when we compile 64 bit code
#if defined (BOOST_MSVC) && defined ( _WIN64)
        double max1,max2,max3,max4,max5;
        double RT_tmp_result;
        msvc_workaround(max1,max2,max3,max4,max5, RT_tmp_result,
                        px, py, pz, pwt,
                        qx, qy, qz, qwt,
                        rx, ry, rz, rwt,
                        sx, sy, sz, swt,
                        tx, ty, tz, twt);

#else
        double dpx = (px - tx);
        double dpy = (py - ty);
        double dpz = (pz - tz);
        double twt_pwt = (twt - pwt);
        double dpt = (((square( dpx ) + square( dpy )) + square( dpz )) + twt_pwt);
        double dqx = (qx - tx);
        double dqy = (qy - ty);
        double dqz = (qz - tz);
        double twt_qwt = (twt - qwt);
        double dqt = (((square( dqx ) + square( dqy )) + square( dqz )) + twt_qwt);
        double drx = (rx - tx);
        double dry = (ry - ty);
        double drz = (rz - tz);
        double twt_rwt = (twt - rwt);
        double drt = (((square( drx ) + square( dry )) + square( drz )) + twt_rwt);
        double dsx = (sx - tx);
        double dsy = (sy - ty);
        double dsz = (sz - tz);
        double twt_swt = (twt - swt);
        double dst = (((square( dsx ) + square( dsy )) + square( dsz )) + twt_swt);

        double RT_tmp_result = CGAL::determinant( dpx, dpy, dpz, dpt, dqx, dqy, dqz, dqt, drx, dry, drz, drt, dsx, dsy, dsz, dst );


        double max2 = CGAL::abs(dpx);
        double adqx = CGAL::abs(dqx);
        double adqy = CGAL::abs(dqy);
        double adqz = CGAL::abs(dqz);

        double adrx = CGAL::abs(drx);
        double adry = CGAL::abs(dry);
        double adrz = CGAL::abs(drz);

        double adsx = CGAL::abs(dsx);
        double adsy = CGAL::abs(dsy);
        double adsz = CGAL::abs(dsz);

        double atwt_qwt = CGAL::abs(twt_qwt);
        double atwt_rwt = CGAL::abs(twt_rwt);
        double atwt_swt = CGAL::abs(twt_swt);

        if( (max2 < adqx) ) max2 = adqx;
        if( (max2 < adrx) ) max2 = adrx;
        if( (max2 < adsx) ) max2 = adsx;
        double max1 = max2;
        double max3 = CGAL::abs(dpy);
        if( (max3 < adqy) ) max3 = adqy;
        if( (max3 < adry) ) max3 = adry;
        if( (max3 < adsy) ) max3 = adsy;
        if( (max1 < max3) )      max1 = max3;
        double max4 = CGAL::abs(dpz);
        if( (max4 < adqz) ) max4 = adqz;
        if( (max4 < adrz) ) max4 = adrz;
        if( (max4 < adsz) ) max4 = adsz;
        if( (max1 < max4) )      max1 = max4;
        double max5 = CGAL::abs(twt_pwt);
        if( (max5 < atwt_qwt) ) max5 = atwt_qwt;
        if( (max5 < atwt_rwt) ) max5 = atwt_rwt;
        if( (max5 < atwt_swt) ) max5 = atwt_swt;
#endif
        double lower_bound_1 = max1;
        double upper_bound_1 = max1;
        if( (max2 < lower_bound_1) ) lower_bound_1 = max2;
        if( (max3 < lower_bound_1) ) lower_bound_1 = max3;
        if( (max4 < lower_bound_1) ) lower_bound_1 = max4;
        //handwritten workaround to handle case where all weights are equal
        //if( ((lower_bound_1 < 1.05893684636332247212e-59) || (max5 < 1.12134724458589890404e-118)) )
        if( ((lower_bound_1 < 1.05893684636332247212e-59) || (max5 < 1.12134724458589890404e-118 && max5!=0)) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,r,s,t);
        }
        else
        {
            if( ((upper_bound_1 > 3.21387608851797948065e+60) || (max5 > 1.03289995123476274781e+121)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,s,t);
            }

            result_type int_tmp_result;

            double eps = (1.67106803095990471147e-13 * (((max2 * max3) * max4) * (CGAL::max) ( max5, (max1 * max1) )));


            if( (RT_tmp_result > eps) )
            {
                int_tmp_result = NEGATIVE;
            }
            else
            {
                if( (RT_tmp_result < -eps) )
                {
                    int_tmp_result = POSITIVE;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,s,t);
                }
            }
            return int_tmp_result;
        }
      }
      else
        return Base::operator()(p,q,r,s,t);
    }

    result_type operator() ( const Weighted_point_3 & p,
                             const Weighted_point_3 & q,
                             const Weighted_point_3 & r,
                             const Weighted_point_3 & t) const
    {

      CGAL_BRANCH_PROFILER_3("semi-static failures/attempts/calls to   : Power_side_of_oriented_power_sphere_3 with 3+1 wpoints", tmp);

      double px, py, pz, pwt, qx, qy, qz, qwt, rx, ry, rz, rwt, tx, ty, tz, twt;
      init_double(px, py, pz, pwt, qx, qy, qz, qwt, (FT*)(0));
      init_double( rx, ry, rz, rwt, tx, ty, tz, twt, (FT*)(0));
      if( fit_in_double(p.x(), px) && fit_in_double(p.y(), py)       &&
          fit_in_double(p.z(), pz) && fit_in_double(p.weight(), pwt) &&
          fit_in_double(q.x(), qx) && fit_in_double(q.y(), qy)       &&
          fit_in_double(q.z(), qz) && fit_in_double(q.weight(), qwt) &&
          fit_in_double(r.x(), rx) && fit_in_double(r.y(), ry)       &&
          fit_in_double(r.z(), rz) && fit_in_double(r.weight(), rwt) &&
          fit_in_double(t.x(), tx) && fit_in_double(t.y(), ty)       &&
          fit_in_double(t.z(), tz) && fit_in_double(t.weight(), twt)
        )
      {
        CGAL_BRANCH_PROFILER_BRANCH_1(tmp);

        double dpx = (px - tx);
        double dpy = (py - ty);
        double dpz = (pz - tz);
        double twt_pwt = (twt - pwt);
        double dpt = (((square( dpx ) + square( dpy )) + square( dpz )) + twt_pwt);
        double dqx = (qx - tx);
        double dqy = (qy - ty);
        double dqz = (qz - tz);
        double twt_qwt = (twt - qwt);
        double dqt = (((square( dqx ) + square( dqy )) + square( dqz )) + twt_qwt);
        double drx = (rx - tx);
        double dry = (ry - ty);
        double drz = (rz - tz);
        double twt_rwt = (twt - rwt);
        double drt = (((square( drx ) + square( dry )) + square( drz )) + twt_rwt);
        int cmp;
        int int_tmp_result;
        double eps;
        double RT_tmp_result = CGAL::determinant( dpx, dpy, dpt, dqx, dqy, dqt, drx, dry, drt );

        double max7 = CGAL::abs(dpz);
        double adqx = CGAL::abs(dqx);
        double adqy = CGAL::abs(dqy);
        double adqz = CGAL::abs(dqz);

        double adrx = CGAL::abs(drx);
        double adry = CGAL::abs(dry);
        double adrz = CGAL::abs(drz);

        double atwt_qwt = CGAL::abs(twt_qwt);
        double atwt_rwt = CGAL::abs(twt_rwt);

        if( (max7 < adqz) ) max7 = adqz;
        if( (max7 < adrz) ) max7 = adrz;
        double max1 = max7;
        double max2 = CGAL::abs(dpx);
        if( (max2 < adqx) ) max2 = adqx;
        if( (max2 < adrx) ) max2 = adrx;
        if( (max1 < max2) )      max1 = max2;
        double max3 = CGAL::abs(dpy);
        if( (max3 < adqy) ) max3 = adqy;
        if( (max3 < adry) ) max3 = adry;
        if( (max1 < max3) )      max1 = max3;
        double max4 = CGAL::abs(twt_pwt);
        if( (max4 < atwt_qwt) ) max4 = atwt_qwt;
        if( (max4 < atwt_rwt) ) max4 = atwt_rwt;
        double lower_bound_1;
        double upper_bound_1;
        lower_bound_1 = max1;
        upper_bound_1 = max1;
        if( (max2 < lower_bound_1) ) lower_bound_1 = max2;
        if( (max3 < lower_bound_1) ) lower_bound_1 = max3;
        //handwritten workaround to handle case where all weights are equal
        //if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148)) )
        if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148 && max4!=0)) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,r,t);
        }
        else
        {
            if( ((upper_bound_1 > 7.23700557733225980357e+75) || (max4 > 5.23742497263382350320e+151)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            double eps = (3.04426660386257731823e-14 * ((max2 * max3) * (CGAL::max)( max4, (max1 * max1) )));
            if( (RT_tmp_result > eps) )
            {
                int_tmp_result = 1;
            }
            else
            {
                if( (RT_tmp_result < -eps) )
                {
                    int_tmp_result = -1;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
            }
        }
        cmp = int_tmp_result;
        double px_rx = (px - rx);
        double qy_ry = (qy - ry);
        double qx_rx = (qx - rx);
        double py_ry = (py - ry);
        double max5 = CGAL::abs(px_rx);
        double aqx_rx =CGAL::abs(qx_rx);
        double apy_ry =CGAL::abs(py_ry);
        if( max5 < aqx_rx ) max5 = aqx_rx;
        double max6 = CGAL::abs(qy_ry);
        if( max6 < apy_ry ) max6 = apy_ry;
        if( (cmp != 0) )
        {
            int int_tmp_result_FFWKCAA;
            double double_tmp_result;
            double_tmp_result = ((px_rx * qy_ry) - (qx_rx * py_ry));
            lower_bound_1 = max5;
            upper_bound_1 = max5;
            if( (max6 < lower_bound_1) ) lower_bound_1 = max6;
            else
            {
                if( (max6 > upper_bound_1) ) upper_bound_1 = max6;
            }
            if( (lower_bound_1 < 5.00368081960964690982e-147) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            else
            {
                if( (upper_bound_1 > 7.23700557733225980357e+75) )
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
                double eps = (8.88720573725927976811e-16 * (max5 * max6));
                if( (double_tmp_result > eps) ) int_tmp_result_FFWKCAA = 1;
                else
                {
                    if( (double_tmp_result < -eps) )
                    {
                        int_tmp_result_FFWKCAA = -1;
                    }
                    else
                    {
                      CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                      return Base::operator()(p,q,r,t);
                    }
                }
            }
            return static_cast<result_type>(cmp * int_tmp_result_FFWKCAA);
        }
        int int_tmp_result_k60Ocge;
        double RT_tmp_result_3SPBwDj = CGAL::determinant( dpx, dpz, dpt, dqx, dqz, dqt, drx, drz, drt );
        lower_bound_1 = max1;
        upper_bound_1 = max1;
        if( (max7 < lower_bound_1) ) lower_bound_1 = max7;
        if( (max2 < lower_bound_1) ) lower_bound_1 = max2;
        //handwritten workaround to handle case where all weights are equal
        //if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148)) )
        if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148 && max4!=0)) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,r,t);
        }
        else
        {
            if( ((upper_bound_1 > 7.23700557733225980357e+75) || (max4 > 5.23742497263382350320e+151)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            eps = (3.04426660386257731823e-14 * ((max2 * max7) * (CGAL::max)( max4, (max1 * max1) )));
            if( (RT_tmp_result_3SPBwDj > eps) )
            {
                int_tmp_result_k60Ocge = 1;
            }
            else
            {
                if( (RT_tmp_result_3SPBwDj < -eps) )
                {
                    int_tmp_result_k60Ocge = -1;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
            }
        }
        cmp = int_tmp_result_k60Ocge;
        double qz_rz = (qz - rz);
        double pz_rz = (pz - rz);
        double max8 = CGAL::abs(qz_rz);
        double apz_rz =  CGAL::abs(pz_rz);
        if( max8 < apz_rz ) max8 = apz_rz;
        if( (cmp != 0) )
        {
            int int_tmp_result_k3Lzf6g;
            double double_tmp_result_Gx4H;
            double_tmp_result_Gx4H = ((px_rx * qz_rz) - (qx_rx * pz_rz));
            lower_bound_1 = max5;
            upper_bound_1 = max5;
            if( (max8 < lower_bound_1) ) lower_bound_1 = max8;
            else
            {
                if( (max8 > upper_bound_1) ) upper_bound_1 = max8;
            }
            if( (lower_bound_1 < 5.00368081960964690982e-147) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            else
            {
                if( (upper_bound_1 > 7.23700557733225980357e+75) )
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
                eps = (8.88720573725927976811e-16 * (max5 * max8));
                if( (double_tmp_result_Gx4H > eps) )
                {
                    int_tmp_result_k3Lzf6g = 1;
                }
                else
                {
                    if( (double_tmp_result_Gx4H < -eps) )
                    {
                        int_tmp_result_k3Lzf6g = -1;
                    }
                    else
                    {
                      CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                      return Base::operator()(p,q,r,t);
                    }
                }
            }
            return static_cast<result_type>(cmp * int_tmp_result_k3Lzf6g);
        }
        int int_tmp_result_AvrrXBP;
        double RT_tmp_result_feLwnHn = CGAL::determinant( dpy, dpz, dpt, dqy, dqz, dqt, dry, drz, drt );
        lower_bound_1 = max1;
        upper_bound_1 = max1;
        if( (max7 < lower_bound_1) ) lower_bound_1 = max7;
        if( (max3 < lower_bound_1) ) lower_bound_1 = max3;
        //handwritten workaround to handle case where all weights are equal
        //if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148)) )
        if( ((lower_bound_1 < 2.92391967062015793913e-74) || (max4 < 8.54930624023949352313e-148 && max4!=0)) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,r,t);
        }
        else
        {
            if( ((upper_bound_1 > 7.23700557733225980357e+75) || (max4 > 5.23742497263382350320e+151)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            eps = (3.04426660386257731823e-14 * ((max3 * max7) * (CGAL::max)( max4, (max1 * max1) )));
            if( (RT_tmp_result_feLwnHn > eps) )
            {
                int_tmp_result_AvrrXBP = 1;
            }
            else
            {
                if( (RT_tmp_result_feLwnHn < -eps) )
                {
                    int_tmp_result_AvrrXBP = -1;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
            }
        }
        cmp = int_tmp_result_AvrrXBP;
        int int_tmp_result_agX3WsT;
        double double_tmp_result_Dw20Kqh = ((py_ry * qz_rz) - (qy_ry * pz_rz));
        lower_bound_1 = max8;
        upper_bound_1 = max8;
        if( (max6 < lower_bound_1) )
        {
            lower_bound_1 = max6;
        }
        else
        {
            if( (max6 > upper_bound_1) ) upper_bound_1 = max6;
        }
        if( (lower_bound_1 < 5.00368081960964690982e-147) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,r,t);
        }
        else
        {
            if( (upper_bound_1 > 7.23700557733225980357e+75) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,r,t);
            }
            eps = (8.88720573725927976811e-16 * (max6 * max8));
            if( (double_tmp_result_Dw20Kqh > eps) )
            {
                int_tmp_result_agX3WsT = 1;
            }
            else
            {
                if( (double_tmp_result_Dw20Kqh < -eps) )
                {
                    int_tmp_result_agX3WsT = -1;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,r,t);
                }
            }
        }
        return static_cast<result_type>(cmp * int_tmp_result_agX3WsT);
      }
      else
        return Base::operator()(p,q,r,t);
    }

    result_type operator() ( const Weighted_point_3 & p,
                             const Weighted_point_3 & q,
                             const Weighted_point_3 & t) const
    {

      CGAL_BRANCH_PROFILER_3("semi-static failures/attempts/calls to   : Power_side_of_oriented_power_sphere_3 with 2+1 wpoints", tmp);

      double px, py, pz, pwt, qx, qy, qz, qwt, tx, ty, tz, twt;
      init_double(px, py, pz, pwt, qx, qy, qz, qwt, tx, ty, tz, twt, (FT*)(0));
      if( fit_in_double(p.x(), px) && fit_in_double(p.y(), py)       &&
          fit_in_double(p.z(), pz) && fit_in_double(p.weight(), pwt) &&
          fit_in_double(q.x(), qx) && fit_in_double(q.y(), qy)       &&
          fit_in_double(q.z(), qz) && fit_in_double(q.weight(), qwt) &&
          fit_in_double(t.x(), tx) && fit_in_double(t.y(), ty)       &&
          fit_in_double(t.z(), tz) && fit_in_double(t.weight(), twt)
        )
      {
        CGAL_BRANCH_PROFILER_BRANCH_1(tmp);

        double dpx = (px - tx);
        double dpy = (py - ty);
        double dpz = (pz - tz);
        double twt_pwt = (twt - pwt);
        double dpt = (((square( dpx ) + square( dpy )) + square( dpz )) + twt_pwt);
        double dqx = (qx - tx);
        double dqy = (qy - ty);
        double dqz = (qz - tz);
        double twt_qwt = (twt - qwt);
        double dqt = (((square( dqx ) + square( dqy )) + square( dqz )) + twt_qwt);
        int cmp = ((px > qx) ? 1 : ((px < qx) ? -1 : 0));
        double eps;
        double max1;
        double max4 = CGAL::abs(dpy);

        double adqx = CGAL::abs(dqx);
        double adqy = CGAL::abs(dqy);
        double adqz = CGAL::abs(dqz);

        double atwt_qwt = CGAL::abs(twt_qwt);

        if( max4 < adqy ) max4 = adqy;
        max1 = max4;
        double max5 = CGAL::abs(dpz);
        if( max5 < adqz ) max5 = adqz;
        if( max1 < max5 ) max1 = max5;
        double max2 = CGAL::abs(dpx);
        if( max2 < adqx ) max2 = adqx;
        if( max1 < max2 ) max1 = max2;
        double max3 = CGAL::abs(twt_pwt);
        if( max3 < atwt_qwt ) max3 = atwt_qwt;
        double lower_bound_1;
        double upper_bound_1;
        if( (cmp != 0) )
        {
            int int_tmp_result;
            double double_tmp_result;
            double_tmp_result = ((dpx * dqt) - (dqx * dpt));
            lower_bound_1 = max1;
            upper_bound_1 = max1;
            if( (max2 < lower_bound_1) ) lower_bound_1 = max2;
            //handwritten workaround to handle case where all weights are equal
            //if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195)) )
            if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195 && max3!=0)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,t);
            }
            else
            {
                if( ((upper_bound_1 > 5.59936185544450928309e+101) || (max3 > 3.13528531882069776730e+203)) )
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,t);
                }
                eps = (6.88858782307641768480e-15 * (max2 * (CGAL::max)( max3, (max1 * max1) )));
                if( (double_tmp_result > eps) )
                {
                    int_tmp_result = 1;
                }
                else
                {
                    if( (double_tmp_result < -eps) )
                    {
                        int_tmp_result = -1;
                    }
                    else
                    {
                      CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                      return Base::operator()(p,q,t);
                    }
                }
            }
            return static_cast<result_type>(cmp * int_tmp_result);
        }
        cmp = ((py > qy) ? 1 : ((py < qy) ? -1 : 0));
        if( (cmp != 0) )
        {
          int int_tmp_result_FFWKCAA;
          double double_tmp_result_k60Ocge;
          double_tmp_result_k60Ocge = ((dpy * dqt) - (dqy * dpt));
          lower_bound_1 = max1;
          upper_bound_1 = max1;
          if( (max4 < lower_bound_1) ) lower_bound_1 = max4;
          //handwritten workaround to handle case where all weights are equal
          //if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195)) )
          if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195 && max3!=0)) )
          {
            CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
            return Base::operator()(p,q,t);
          }
          else
          {
              if( ((upper_bound_1 > 5.59936185544450928309e+101) || (max3 > 3.13528531882069776730e+203)) )
              {
                CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                return Base::operator()(p,q,t);
              }
              eps = (6.88858782307641768480e-15 * (max4 * (CGAL::max)( max3, (max1 * max1) )));
              if( (double_tmp_result_k60Ocge > eps) )
              {
                  int_tmp_result_FFWKCAA = 1;
              }
              else
              {
                  if( (double_tmp_result_k60Ocge < -eps) )
                  {
                      int_tmp_result_FFWKCAA = -1;
                  }
                  else
                  {
                    CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                    return Base::operator()(p,q,t);
                  }
              }
          }
          return static_cast<result_type>(cmp * int_tmp_result_FFWKCAA);
        }
        cmp = ((pz > qz) ? 1 : ((pz < qz) ? -1 : 0));
        int int_tmp_result_3SPBwDj;
        double double_tmp_result_k3Lzf6g = ((dpz * dqt) - (dqz * dpt));
        lower_bound_1 = max1;
        upper_bound_1 = max1;
        if( (max5 < lower_bound_1) )
        {
            lower_bound_1 = max5;
        }
        //handwritten workaround to handle case where all weights are equal
        //if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195)) )
        if( ((lower_bound_1 < 4.89808663633813414271e-98) || (max3 < 2.39912526970742181620e-195 && max3!=0)) )
        {
          CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
          return Base::operator()(p,q,t);
        }
        else
        {
            if( ((upper_bound_1 > 5.59936185544450928309e+101) || (max3 > 3.13528531882069776730e+203)) )
            {
              CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
              return Base::operator()(p,q,t);
            }
            eps = (6.88858782307641768480e-15 * (max5 * (CGAL::max)( max3, (max1 * max1) )));
            if( (double_tmp_result_k3Lzf6g > eps) )
            {
                int_tmp_result_3SPBwDj = 1;
            }
            else
            {
                if( (double_tmp_result_k3Lzf6g < -eps) )
                {
                    int_tmp_result_3SPBwDj = -1;
                }
                else
                {
                  CGAL_BRANCH_PROFILER_BRANCH_2(tmp);
                  return Base::operator()(p,q,t);
                }
            }
        }
        return static_cast<result_type>(cmp * int_tmp_result_3SPBwDj);
      }
      else
        return Base::operator()(p,q,t);
    }

      };

} } }//namespace CGAL::internal::Static_filters_predicates

#endif //CGAL_INTERNAL_STATIC_FILTERS_POWER_TEST_3_H
