LALSimIMRPhenomX.c

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/*
 *  Copyright (C) 2018 Geraint Pratten
 *
 *  This program 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.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with with program; see the file COPYING. If not, write to the
 *  Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
 *  MA  02110-1301  USA
 */
 
/* Standard LAL */
#include <lal/Sequence.h>
#include <lal/Date.h>
#include <lal/Units.h>
#include <lal/XLALError.h>
 
/* LAL datatypes and constants */
#include <lal/LALDatatypes.h>
#include <lal/LALStdlib.h>
#include <lal/LALConstants.h>
 
/* Time series, frequency series and spherical harmonics */
#include <lal/TimeSeries.h>
#include <lal/TimeFreqFFT.h>
#include <lal/SphericalHarmonics.h>
#include <lal/FrequencySeries.h>
 
/* LALSimulation */
#include <lal/LALSimIMR.h>
#include <lal/LALSimInspiral.h>
 
/* Standard C */
#include <math.h>
#include <complex.h>
#include <stdbool.h>
 
#ifndef PHENOMXHMDEBUG
#define DEBUG 0
#define PHENOMXDEBUG 0
#define PHENOMXPDEBUG 0
#else
#define DEBUG 1 //print debugging info
#define PHENOMXDEBUG 1
#define PHENOMXPDEBUG 1
#endif
 
/* Link IMRPhenomX routines */
#include "LALSimIMRPhenomX.h"
#include "LALSimIMRPhenomX_ringdown.h"
#include "LALSimIMRPhenomX_intermediate.h"
#include "LALSimIMRPhenomX_inspiral.h"
#include "LALSimIMRPhenomX_internals.c"
#include "LALSimIMRPhenomX_precession.c"
#include "LALSimIMRPhenomX_PNR.c"
#include "LALSimIMRPhenomX_AntisymmetricWaveform.c"
 
/* Note: This is declared in LALSimIMRPhenomX_internals.c and avoids namespace clashes */
IMRPhenomX_UsefulPowers powers_of_lalpi;
 
#ifndef _OPENMP
#define omp ignore
#endif
 
/* ******** ALIGNED SPIN IMR PHENOMENOLOGICAL WAVEFORM: IMRPhenomXAS ********* */
 
/* EXTERNAL ROUTINES */
 
/**
 * @addtogroup LALSimIMRPhenomX_c
 * @brief Routines to produce IMRPhenomX-family of phenomenological
 * inspiral-merger-ringdown waveforms.
 *
 * These are frequency-domain models for compact binaries at comparable and extreme mass ratios,
 * tuned to numerical-relativity simulations.
 *  * IMRPhenomXAS model for the 22 mode of non-precessing binaries. https://arxiv.org/abs/2001.11412 ; DCC link: https://dcc.ligo.org/P2000018
 *  * IMRPhenomXHM model with subdominant modes for non-precessing binaries. https://arxiv.org/abs/2001.10914 ; DCC link: https://dcc.ligo.org/P1900393
 *  * Multibanding for IMRPhenomXHM. https://arxiv.org/abs/2001.10897 ; DCC link: https://dcc.ligo.org/P1900391
 *  * IMRPhenomXP model for the 22 mode (in the coprecessing frame) of precessing binaries. https://arxiv.org/abs/2004.06503 ; DCC link: https://dcc.ligo.org/P2000039
 *  * IMRPhenomXPHM model with subdominant modes for precessing binaries. https://arxiv.org/abs/2004.06503 ; DCC link: https://dcc.ligo.org/P2000039
 *
 * The previous models are for binary black holes. There are also versions for binary neutron stars, using the extension of the binary black hole models
 * given in https://arxiv.org/abs/1905.06011 ; DCC link: https://dcc.ligo.org/P1900148
 *  * IMRPhenomXAS_NRTidalv2 model for the 22 mode of non-precessing binary neutron stars
 *  * IMRPhenomXP_NRTidalv2 model for the 22 mode (in the coprecessing frame) of precessing binary neutron stars
 *
 * @review IMRPhenomXAS & IMRPhenomXHM reviewed by Maria Haney, Patricia Schmidt,
 * Roberto Cotesta, Anuradha Samajdar, Jonathan Thompson, N.V. Krishnendu.
 * IMRPhenomXP & IMRPhenomXPHM reviewed by Maria Haney, Jonathan Thompson,
 * Marta Colleoni, David Keitel.
 * Combined review wiki:
 * https://git.ligo.org/waveforms/reviews/imrphenomx/-/wikis/home
 *
 * @review IMRPhenomXAS_NRTidalv2 & IMRPhenomXP_NRTidalv2 plus SpinTaylor precession option also applicable to IMRPhenomXP & IMRPhenomXPHM reviewed by Maria Haney,
 * Sarp Akcay, N.V. Krishnendu, Shubhanshu Tiwari.
 * Review wiki: https://git.ligo.org/waveforms/reviews/imrphenomxp_nrtidalv2/-/wikis/home
 *
 */
 
 /**
  * @addtogroup LALSimIMRPhenomX_c
  * @{
  *
  * @name Routines for IMRPhenomXAS
  * @{
  *
  * @author Geraint Pratten
  *
  * @brief C code for IMRPhenomXAS phenomenological waveform model.
  *
  * This is an aligned-spin frequency domain model for the 22 mode.
  * See G.Pratten et al arXiv:2001.11412 for details. Any studies that use this waveform model should include
  * a reference to this paper.
  *
  * @note The model was calibrated to mass-ratios from 1 to 1000.
  * The calibration points will be given in forthcoming papers.
  *
  * @attention The model is usable outside this parameter range,
  * and in tests to date gives sensible physical results,
  * but conclusive statements on the physical fidelity of
  * the model for these parameters await comparisons against further
  * numerical-relativity simulations. For more information, see the review wiki
  * under https://git.ligo.org/waveforms/reviews/imrphenomx/wikis/home
  *
  *
  * Waveform flags:
  *     InsPhaseVersion: Determines the inspiral phase model.
  *                     - 104 : Canonical TaylorF2 at 3.5PN including cubic-in-spin and quadratic-in-spin corrections. Uses 4 pseudo-PN coefficients. (RECOMMENDED).
  *                     - 105 : Canonical TaylorF2 at 3.5PN including cubic-in-spin and quadratic-in-spin corrections. Uses 5 pseudo-PN coefficients.
  *                     - 114 : Extended TaylorF2. Includes cubic-in-spin, quadratic-in-spin corrections, 4PN and 4.5PN orbital corrections. Uses 4 pseudo-PN coefficients.
  *                     - 115 : Extended TaylorF2. Includes cubic-in-spin, quadratic-in-spin corrections, 4PN and 4.5PN orbital corrections. Uses 5 pseudo-PN coefficients.
  *
  *     IntPhaseVersion: Determines the intermediate phase model.
  *                     -       104 : 4th order polynomial ansatz.
  *                     -   105 : 5th order polynomial ansatz. (RECOMMENDED).
  *
  *             RDPhaseVersion: Determines the merger-ringdown phase model.
  *                     -       105 : Deformed Lorentzian using 5 coefficients. (RECOMMENDED).
  *
  *             InsAmpVersion : Determines inspiral amplitude model.
  *                     -       103 : Canonical PN re-expanded TaylorF2 amplitude with pseudo-PN corrections. (RECOMMENDED).
  *
  *             IntAmpVersion : Determines intermediate amplitude model.
  *                     -       104 : Based on a 4th order polynomial ansatz. Less accurate but stable extrapolation. (RECOMMENDED).
  *                     -       105 : Based on 5th order polynomial ansatz. More accurate in calibration domain, more unstable extrapolation.
  *
  *             RDAmpVersion : Determines the merger-ringdown amplitude model.
  *                     -       103 : Deformed Lorentzian with 3 free coefficients. Uses 1 calibrated collocation point and 2 calibrated phenomenological coefficients. (RECOMMENDED).
  *
  */
 
 
/**
 *  Driver routine to calculate an IMRPhenomX aligned-spin,
 *  inspiral-merger-ringdown phenomenological waveform model
 *  in the frequency domain.
 *
 *  arXiv:2001.11412, https://arxiv.org/abs/2001.11412
 *
 *  All input parameters should be in SI units. Angles should be in radians.
 *
 *  XLALSimIMRPhenomXASGenerateFD() returns the strain of the 2-2 mode as a complex
 * frequency series with equal spacing deltaF and contains zeros from zero frequency
 * to the starting frequency and zeros beyond the cutoff frequency in the ringdown.
 *
 */
int XLALSimIMRPhenomXASGenerateFD(
  COMPLEX16FrequencySeries **htilde22, /**< [out] FD waveform */
  REAL8 m1_SI,                         /**< Mass of companion 1 (kg) */
  REAL8 m2_SI,                         /**< Mass of companion 2 (kg) */
  REAL8 chi1L,                         /**< Dimensionless aligned spin of companion 1 */
  REAL8 chi2L,                         /**< Dimensionless aligned spin of companion 2 */
  REAL8 distance,                      /**< Luminosity distance (m) */
  REAL8 f_min,                         /**< Starting GW frequency (Hz) */
  REAL8 f_max,                         /**< End frequency; 0 defaults to Mf = 0.3 */
  REAL8 deltaF,                        /**< Sampling frequency (Hz) */
  REAL8 phi0,                          /**< Orbital phase at fRef (rad) */
  REAL8 fRef_In,                       /**< Reference frequency (Hz) */
  LALDict *lalParams                   /**< LAL Dictionary */
)
{
  UINT4 status;
 
  /* Set debug status here */
  UINT4 debug = PHENOMXDEBUG;
 
  if(debug)
  {
    printf("fRef_In : %e\n",fRef_In);
    printf("m1_SI   : %e\n",m1_SI);
    printf("m2_SI   : %e\n",m2_SI);
    printf("chi1L   : %e\n",chi1L);
    printf("chi2L   : %e\n\n",chi2L);
    printf("Performing sanity checks...\n");
  }
 
  /* Perform initial sanity checks */
  if(*htilde22)       { XLAL_CHECK(NULL != htilde22, XLAL_EFAULT);                                   }
  if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");  }
  if(deltaF   <= 0.0) { XLAL_ERROR(XLAL_EDOM, "deltaF must be positive.\n");                         }
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                             }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                             }
  if(f_min    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "f_min must be positive.\n");                          }
  if(f_max    <  0.0) { XLAL_ERROR(XLAL_EDOM, "f_max must be non-negative.\n");                      }
  if(distance <  0.0) { XLAL_ERROR(XLAL_EDOM, "Distance must be positive and greater than 0.\n");    }
 
  /*
        Perform a basic sanity check on the region of the parameter space in which model is evaluated. Behaviour is as follows:
                - For mass ratios <= 20.0 and spins <= 0.99: no warning messages.
                - For 1000 > mass ratio > 20 and spins <= 0.99: print a warning message that we are extrapolating outside of *NR* calibration domain.
                - For mass ratios > 1000: throw a hard error that model is not valid.
                - For spins > 0.99: throw a warning that we are extrapolating the model to extremal
 
  */
  REAL8 mass_ratio;
  if(m1_SI > m2_SI)
  {
          mass_ratio = m1_SI / m2_SI;
  }
  else
  {
          mass_ratio = m2_SI / m1_SI;
  }
  if(mass_ratio > 20.0  ) { XLAL_PRINT_INFO("Warning: Extrapolating outside of Numerical Relativity calibration domain."); }
  if(mass_ratio > 1000. && fabs(mass_ratio - 1000) > 1e-12) { XLAL_ERROR(XLAL_EDOM, "ERROR: Model not valid at mass ratios beyond 1000."); } // The 1e-12 is to avoid rounding errors
  if(fabs(chi1L) > 0.99 || fabs(chi2L) > 0.99) { XLAL_PRINT_INFO("Warning: Extrapolating to extremal spins, model is not trusted."); }
 
  /* If no reference frequency is given, set it to the starting gravitational wave frequency */
  REAL8 fRef = (fRef_In == 0.0) ? f_min : fRef_In;
 
 
  if(debug)
  {
    printf("\n\n **** Initializing waveform struct... **** \n\n");
  }
 
 
  /* Initialize the useful powers of LAL_PI */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phi0, f_min, f_max, distance, 0.0, lalParams, debug);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /*
      Create a REAL8 frequency series.
      Use fLow, fHigh, deltaF to compute frequency sequence. Only pass the boundaries (fMin, fMax).
  */
  REAL8Sequence *freqs = XLALCreateREAL8Sequence(2);
  freqs->data[0] = pWF->fMin;
  freqs->data[1] = pWF->f_max_prime;
 
 
  if(debug)
  {
    printf("\n\n **** Calling IMRPhenomXASGenerateFD... **** \n\n");
  }
 
  /* We now call the core IMRPhenomXAS waveform generator */
  status = IMRPhenomXASGenerateFD(htilde22, freqs, pWF, lalParams);
  XLAL_CHECK(status == XLAL_SUCCESS, XLAL_EFUNC, "IMRPhenomXASFDCore failed to generate IMRPhenomX waveform.");
 
  if(debug)
  {
    printf("\n\n **** Call to IMRPhenomXASGenerateFD complete. **** \n\n");
  }
 
  /*
      We now resize htilde22 if our waveform was generated to a cut-off frequency below
      the desired maximum frequency. Simply fill the remaining frequencies with zeros.
  */
  REAL8 lastfreq;
  if (pWF->f_max_prime < pWF->fMax)
  {
    /*
        As the user has requested an f_max > Mf = fCut,
        we resize the frequency series to fill with zeros beyond the cutoff frequency.
    */
    lastfreq = pWF->fMax;
  }
  else{  // We have to look for a power of 2 anyway.
    lastfreq = pWF->f_max_prime;
  }
  /* Enforce length to be a power of 2 + 1 */
  size_t n_full = NextPow2(lastfreq / pWF->deltaF) + 1;
  size_t n = (*htilde22)->data->length;
 
  /* Resize the COMPLEX16 frequency series */
  *htilde22 = XLALResizeCOMPLEX16FrequencySeries(*htilde22, 0, n_full);
  XLAL_CHECK (*htilde22, XLAL_ENOMEM, "Failed to resize waveform COMPLEX16FrequencySeries of length %zu (for internal fCut=%f) to new length %zu (for user-requested f_max=%f).", n, pWF->fCut, n_full, pWF->fMax );
 
 
  LALFree(pWF);
  XLALDestroyREAL8Sequence(freqs);
  return XLAL_SUCCESS;
}
 
 
/**
 * Compute waveform in LAL format at specified frequencies for the IMRPhenomX model.
 *
 *  All input parameters should be in SI units. Angles should be in radians.
 *
 * XLALSimIMRPhenomXASFrequencySequence() returns the strain of the 2-2 mode as a
 * complex frequency series with entries exactly at the frequencies specified in
 * the sequence freqs (which can be unequally spaced). No zeros are added. Assumes positive frequencies.
 */
 int XLALSimIMRPhenomXASFrequencySequence(
     COMPLEX16FrequencySeries **htilde22, /**< [out] FD waveform */
     const REAL8Sequence *freqs,          /**< [out] Frequency series [Hz] */
     REAL8 m1_SI,                         /**< Mass of companion 1 (kg) */
     REAL8 m2_SI,                         /**< Mass of companion 2 (kg) */
     REAL8 chi1L,                         /**< Dimensionless aligned spin of companion 1 */
     REAL8 chi2L,                         /**< Dimensionless aligned spin of companion 2 */
     REAL8 distance,                      /**< Luminosity distance (m) */
     REAL8 phi0,                          /**< Phase at reference frequency */
     REAL8 fRef_In,                       /**< Reference frequency (Hz) */
     LALDict *lalParams                   /**< LAL Dictionary */
 )
 {
   INT4 return_code = 0;
 
   /* Sanity checks */
   if(*htilde22)       { XLAL_CHECK(NULL != htilde22, XLAL_EFAULT);                                   }
   if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");  }
   if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                             }
   if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                             }
   if(distance <  0.0) { XLAL_ERROR(XLAL_EDOM, "Distance must be positive and greater than 0.\n");    }
 
   /*
        Perform a basic sanity check on the region of the parameter space in which model is evaluated. Behaviour is as follows:
                - For mass ratios <= 20.0 and spins <= 0.99: no warning messages.
                - For 1000 > mass ratio > 20 and spins <= 0.99: print a warning message that we are extrapolating outside of *NR* calibration domain.
                - For mass ratios > 1000: throw a hard error that model is not valid.
                - For spins > 0.99: throw a warning that we are extrapolating the model to extremal
 
   */
   REAL8 mass_ratio;
   if(m1_SI > m2_SI)
   {
        mass_ratio = m1_SI / m2_SI;
   }
   else
   {
        mass_ratio = m2_SI / m1_SI;
   }
   if(mass_ratio > 20.0  ) { XLAL_PRINT_INFO("Warning: Extrapolating outside of Numerical Relativity calibration domain."); }
 
   // Check on the mass-ratio with a 1e-12 tolerance to avoid rounding errors
   if(mass_ratio > 1000. && fabs(mass_ratio - 1000) > 1e-12) { XLAL_ERROR(XLAL_EDOM, "ERROR: Model not valid at mass ratios beyond 1000."); }
   if(fabs(chi1L) > 0.99 || fabs(chi2L) > 0.99) { XLAL_PRINT_INFO("Warning: Extrapolating to extremal spins, model is not trusted."); }
 
   // If fRef is not provided, then set fRef to be the starting GW Frequency
   REAL8 fRef = (fRef_In == 0.0) ? freqs->data[0] : fRef_In;
 
   UINT4 status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.");
 
   /*
      This routine automatically performs sanity checks on the masses, spins, etc.
   */
   REAL8 f_min_In  = freqs->data[0];
   REAL8 f_max_In  = freqs->data[freqs->length - 1];
 
   /*
      Passing deltaF = 0 implies that freqs is a frequency grid with non-uniform spacing.
      The function waveform then start at lowest given frequency.
   */
 
   /* Initialize IMRPhenomX waveform struct and perform sanity check. */
   IMRPhenomXWaveformStruct *pWF;
   pWF = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
   return_code = IMRPhenomXSetWaveformVariables(pWF,m1_SI, m2_SI, chi1L, chi2L, 0.0, fRef, phi0, f_min_In, f_max_In, distance, 0.0, lalParams, 0);
   XLAL_CHECK(XLAL_SUCCESS == return_code, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
   /* Now call the core IMRPhenomX waveform generator */
   return_code = IMRPhenomXASGenerateFD(
     htilde22,
     freqs,
     pWF,
     lalParams
   );
   XLAL_CHECK(return_code == XLAL_SUCCESS, XLAL_EFUNC, "IMRPhenomXASFDCore failed to generate IMRPhenomX waveform.");
   LALFree(pWF);
 
   return XLAL_SUCCESS;
 }
 
 /**
  * Compute the duration of IMRPhenomXAS using the approximate SPA relation \f$t_f \sim \frac{1}{2 \pi} \frac{d \varphi}{d f} \f$
  *
  * All input parameters should be in SI units. Angles should be in radians.
  *
  * XLALSimIMRPhenomXASDuration() returns the duration in s of IMRPhenomXAS from the specified starting frequency in Hz up to
  * the peak ringdown frequency as defined in Eq. 5.14 of https://arxiv.org/abs/2001.11412.
  */
 double XLALSimIMRPhenomXASDuration(
   const REAL8 m1_SI,     /**< mass of companion 1 (kg) */
   const REAL8 m2_SI,     /**< mass of companion 2 (kg) */
   const REAL8 chi1L,     /**< z-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
   const REAL8 chi2L,     /**< z-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
   const REAL8 f_start    /**< Initial frequency (Hz) */
 )
 {
   if(m1_SI       <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                         }
   if(m2_SI       <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                                         }
   if(f_start     <= 0.0) { XLAL_ERROR(XLAL_EDOM, "f_start must be positive.\n");                                    }
   if(fabs(chi1L)  > 1.0) { XLAL_ERROR(XLAL_EDOM, "Unphysical chi_1 requested: must obey the Kerr bound [-1,1].\n"); }
   if(fabs(chi2L)  > 1.0) { XLAL_ERROR(XLAL_EDOM, "Unphysical chi_2 requested: must obey the Kerr bound [-1,1].\n"); }
 
   /* Set debug status here */
   int debug = PHENOMXDEBUG;
 
   /* Initialize useful powers of LAL_PI */
   int status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.");
 
   LALDict *lal_dict;
   lal_dict   = XLALCreateDict();
 
   /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
   IMRPhenomXWaveformStruct *pWF;
   pWF        = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
   status     = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, 0, f_start, f_start, 0, 0, 1.0, 0.0, lal_dict, debug);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
   /* Allocate and initialize the PhenomX 22 amplitude coefficients struct */
   IMRPhenomXAmpCoefficients *pAmp22;
   pAmp22     = XLALMalloc(sizeof(IMRPhenomXAmpCoefficients));
   status     = IMRPhenomXGetAmplitudeCoefficients(pWF,pAmp22);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAmplitudeCoefficients failed.\n");
 
   /* Allocate and initialize the PhenomX 22 phase coefficients struct */
   IMRPhenomXPhaseCoefficients *pPhase22;
   pPhase22 = XLALMalloc(sizeof(IMRPhenomXPhaseCoefficients));
   status   = IMRPhenomXGetPhaseCoefficients(pWF,pPhase22);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetPhaseCoefficients failed.\n");
 
   /* Initialize a struct containing useful powers of Mf at fRef */
   IMRPhenomX_UsefulPowers powers_of_MfRef;
   status = IMRPhenomX_Initialize_Powers(&powers_of_MfRef,pWF->MfRef);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for MfRef.\n");
 
   /* Get phase connection coefficients */
   IMRPhenomX_Phase_22_ConnectionCoefficients(pWF,pPhase22);
 
   /* 1/eta is used to re-scale phase */
   REAL8 inveta      = (1.0 / pWF->eta);
 
   REAL8 duration    = 0.0;
   double M_sec      = LAL_MTSUN_SI * (m1_SI + m2_SI) / LAL_MSUN_SI;
 
   double dphi_start = 0.0;
   double dphi_end   = 0.0;
 
   /* Starting frequency in geometric units */
   double Mf_start   = f_start * M_sec;
   /* Approximate peak of the ringdown in geometric units, see Eq. 5.14 of https://arxiv.org/abs/2001.11412 */
   double Mf_end     = pAmp22->fAmpRDMin;
 
   IMRPhenomX_UsefulPowers powers_of_Mf;
   status = IMRPhenomX_Initialize_Powers(&powers_of_Mf,Mf_start);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for Mf_start.\n");
   dphi_start        = inveta * IMRPhenomX_dPhase_22(Mf_start, &powers_of_Mf, pPhase22, pWF);
 
   status = IMRPhenomX_Initialize_Powers(&powers_of_Mf,Mf_end);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for Mf_end.\n");
   dphi_end          = inveta * IMRPhenomX_dPhase_22(Mf_end, &powers_of_Mf, pPhase22, pWF);
 
   /*
      - Convert from geometric back to physical units to report the duration in s
      - Use fabs as we want to report the duration as the time to merger
   */
   duration          = fabs(dphi_start - dphi_end) / 2.0 / LAL_PI * M_sec;
 
   /* Free up arrays */
   LALFree(pAmp22);
   LALFree(pPhase22);
   LALFree(pWF);
   XLALDestroyDict(lal_dict);
   return duration;
 }
 
 /** @} */
 /** @} */
 
 
 /* *********************************************************************************
  *
  * The following private function generates an IMRPhenomX frequency-domain waveform
  *   - Only aligned-spin
  *   - Only the 22-mode
  *   - Physical parameters are passed via the waveform struct
  * *********************************************************************************
  */
int IMRPhenomXASGenerateFD(
  COMPLEX16FrequencySeries **htilde22, /**< [out] FD waveform           */
  const REAL8Sequence *freqs_In,       /**< Input frequency grid        */
  IMRPhenomXWaveformStruct *pWF,       /**< IMRPhenomX Waveform Struct  */
  LALDict *lalParams                   /**< LAL Dictionary Structure    */
)
{
  /* Inherits debug flag from waveform struct */
  UINT4 debug = PHENOMXDEBUG;
 
  /* Set tidal version */
  NRTidal_version_type NRTidal_version;
  
  NRTidal_version=IMRPhenomX_SetTidalVersion(lalParams);
 
  if(debug)
  {
    printf("\n **** Now in IMRPhenomXASGenerateFD... **** \n");
  }
 
  /* Set LIGOTimeGPS */
  LIGOTimeGPS ligotimegps_zero = LIGOTIMEGPSZERO; // = {0,0}
 
  /* Initialize useful powers of LAL_PI */
  int status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.");
 
  /* Inherit minimum and maximum frequencies to generate wavefom from input frequency grid */
  double f_min = freqs_In->data[0];
  double f_max = freqs_In->data[freqs_In->length - 1];
 
  /* Size of array */
  size_t npts     = 0;
 
  /* Index shift between freqs and the frequency series */
  UINT4 offset    = 0;
 
  /* Initialize frequency sequence */
  REAL8Sequence *freqs = NULL;
 
  /* Initialize tidal corrections (following tidal code modified from LALSimIMRPhenomP.c) */
      
  REAL8Sequence *phi_tidal = NULL;
  REAL8Sequence *amp_tidal = NULL;
  REAL8Sequence *planck_taper = NULL;
      
 
  /* Set matter parameters (set to zero in pWF if NRTidal additions are not turned on) */
  REAL8 lambda1 = pWF->lambda1;
  REAL8 lambda2 = pWF->lambda2;
 
  /* New variables needed for the NRTidalv2 model */
  REAL8 X_A = pWF->m1; // Already scaled by Mtot
  REAL8 X_B = pWF->m2; // Ibid.
  REAL8 pfaN = 3./(128.*X_A*X_B);
 
  /* If deltaF is non-zero then we need to generate a uniformly sampled frequency grid of spacing deltaF. Start at f = 0. */
  if(pWF->deltaF > 0)
  {
    /* Return the closest power of 2 */
    npts = (size_t) (f_max/pWF->deltaF) + 1;
 
    /* Debug information */
    if(debug)
    {
      printf("npts     = %zu\n",npts);
      printf("fMin     = %.4f\n",f_min);
      printf("fMax     = %.4f\n",f_max);
      printf("dF       = %.4f\n",pWF->deltaF);
    }
 
    XLAL_CHECK(XLALGPSAdd(&ligotimegps_zero, -1. / pWF->deltaF ), XLAL_EFUNC, "Failed to shift the coalescence time to t=0. Tried to apply a shift of -1/df with df = %g.", pWF->deltaF);
 
    /* Initialize the htilde frequency series */
    *htilde22 = XLALCreateCOMPLEX16FrequencySeries("htilde22: FD waveform",&ligotimegps_zero,0.0,pWF->deltaF,&lalStrainUnit,npts);
 
    /* Check that frequency series generated okay */
    XLAL_CHECK(*htilde22,XLAL_ENOMEM,"Failed to allocate COMPLEX16FrequencySeries of length %zu for f_max = %f, deltaF = %g.\n",npts,f_max,pWF->deltaF);
 
    /* Frequencies will be set using only the lower and upper bounds that we passed */
    size_t iStart = (size_t) (f_min / pWF->deltaF);
    size_t iStop  = (size_t) (f_max / pWF->deltaF) + 1;
 
    XLAL_CHECK ( (iStop <= npts) && (iStart <= iStop), XLAL_EDOM,
          "minimum freq index %zu and maximum freq index %zu do not fulfill 0<=ind_min<=ind_max<=htilde->data>length=%zu.", iStart, iStop, npts);
 
    /* Allocate memory for frequency array and terminate if this fails */
    freqs = XLALCreateREAL8Sequence(iStop - iStart);
    if (!freqs)
    {
      XLAL_ERROR(XLAL_EFUNC, "Frequency array allocation failed.");
    }
 
    /* Populate frequency array */
    for (UINT4 i = iStart; i < iStop; i++)
    {
      freqs->data[i-iStart] = i * pWF->deltaF;
    }
    offset = iStart;
  }
  else
  {
    /* freqs is a frequency grid with non-uniform spacing, so we start at the lowest given frequency */
    npts      = freqs_In->length;
    *htilde22 = XLALCreateCOMPLEX16FrequencySeries("htilde22: FD waveform, 22 mode", &ligotimegps_zero, f_min, pWF->deltaF, &lalStrainUnit, npts);
 
    XLAL_CHECK (*htilde22, XLAL_ENOMEM, "Failed to allocated waveform COMPLEX16FrequencySeries of length %zu from sequence.", npts);
 
    offset = 0;
    freqs  = XLALCreateREAL8Sequence(freqs_In->length);
 
    /* Allocate memory for frequency array and terminate if this fails */
    if (!freqs)
    {
      XLAL_ERROR(XLAL_EFUNC, "Frequency array allocation failed.");
    }
 
    /* Populate frequency array */
    for (UINT4 i = 0; i < freqs_In->length; i++)
    {
      freqs->data[i] = freqs_In->data[i];
    }
  }
 
  memset((*htilde22)->data->data, 0, npts * sizeof(COMPLEX16));
  XLALUnitMultiply(&((*htilde22)->sampleUnits), &((*htilde22)->sampleUnits), &lalSecondUnit);
 
  /* Check if LAL dictionary exists. If not, create a LAL dictionary. */
  INT4 lalParams_In = 0;
  if(lalParams == NULL)
  {
    lalParams_In = 1;
    lalParams = XLALCreateDict();
  }
 
  if(debug)
  {
    printf("\n\n **** Initializing amplitude struct... **** \n\n");
  }
 
  /* Allocate and initialize the PhenomX 22 amplitude coefficients struct */
  IMRPhenomXAmpCoefficients *pAmp22;
  pAmp22 = XLALMalloc(sizeof(IMRPhenomXAmpCoefficients));
  status = IMRPhenomXGetAmplitudeCoefficients(pWF,pAmp22);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAmplitudeCoefficients failed.\n");
 
  if(debug)
  {
    printf("\n\n **** Amplitude struct initialized. **** \n\n");
    printf("\n\n **** Initializing phase struct... **** \n\n");
  }
 
  /* Allocate and initialize the PhenomX 22 phase coefficients struct */
  IMRPhenomXPhaseCoefficients *pPhase22;
  pPhase22 = XLALMalloc(sizeof(IMRPhenomXPhaseCoefficients));
  status   = IMRPhenomXGetPhaseCoefficients(pWF,pPhase22);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetPhaseCoefficients failed.\n");
  // initialize coefficients of tidal phase
  if(NRTidal_version!=NoNRT_V) IMRPhenomXGetTidalPhaseCoefficients(pWF,pPhase22,NRTidal_version);
 
  if(debug)
  {
    printf("\n\n **** Phase struct initialized. **** \n\n");
  }
 
  /*
      Apply time shifts so peak amplitude is near t ~ 0.
  */
 
  /* Initialize a struct containing useful powers of Mf at fRef */
  IMRPhenomX_UsefulPowers powers_of_MfRef;
  status = IMRPhenomX_Initialize_Powers(&powers_of_MfRef,pWF->MfRef);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for MfRef.\n");
 
  /* Linear time and phase shifts so that model peaks near t ~ 0 */
  REAL8 lina = 0;
 
  /* Get phase connection coefficients */
  IMRPhenomX_Phase_22_ConnectionCoefficients(pWF,pPhase22);
  double linb=IMRPhenomX_TimeShift_22(pPhase22, pWF);
 
  //
  INT4 APPLY_PNR_DEVIATIONS = pWF->APPLY_PNR_DEVIATIONS;
  INT4 PNRForceXHMAlignment = pWF->IMRPhenomXPNRForceXHMAlignment;
  // If applying PNR deviations, then we want to be able to refer to some non-PNR waveform properties. For that, we must compute the struct for when PNR is off (and specifically, XAS is wanted).
  if ( APPLY_PNR_DEVIATIONS && PNRForceXHMAlignment ) {
 
    /*<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.<-.
    Shift phifRef and linb so that the PNR CoPrecessing model is aligned with XHM
    ->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.->.*/
 
    // // Development printing
    // printf("** Enforcing XAS Phase Alignment\n");
    // printf("(1) linb = %f\n",linb);
 
 
    IMRPhenomX_PNR_EnforceXASPhaseAlignment(&linb,pWF,pPhase22);
 
    // // Development printing
    // printf("(2) linb = %f\n",linb);
 
  }
  // extra contribution to phi(fRef) due to tidal corrections
  double phiTfRef = 0.;
    
  REAL8 f_final=freqs->data[freqs->length-1];
  
  // correct for time and phase shifts due to tidal phase
  if(NRTidal_version!=NoNRT_V){
      
        REAL8 f_merger = XLALSimNRTunedTidesMergerFrequency(pWF->Mtot, pWF->kappa2T, pWF->q);
        if(f_merger<f_final)
            f_final = f_merger;
        
        IMRPhenomX_UsefulPowers powers_of_ffinal;
        REAL8 Mf_final = f_final*pWF->M_sec;
        status = IMRPhenomX_Initialize_Powers(&powers_of_ffinal,Mf_final);
        XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for f_final.\n");
        REAL8 dphi_fmerger=1/pWF->eta*IMRPhenomX_dPhase_22(Mf_final, &powers_of_ffinal, pPhase22, pWF)+linb-IMRPhenomX_TidalPhaseDerivative(&powers_of_ffinal, pWF, pPhase22, NRTidal_version);
        REAL8 tshift = -dphi_fmerger;
        linb+=tshift;
        phiTfRef = -IMRPhenomX_TidalPhase(&powers_of_MfRef, pWF, pPhase22, NRTidal_version);
        
    }
    
 
  /* 1/eta is used to re-scale phase */
  REAL8 inveta    = (1.0 / pWF->eta);
 
  /* Calculate phase at reference frequency: phifRef = 2.0*phi0 + LAL_PI_4 + PhenomXPhase(fRef) */
  double phifRef = -(inveta * IMRPhenomX_Phase_22(pWF->MfRef, &powers_of_MfRef, pPhase22, pWF) + phiTfRef + linb*pWF->MfRef + lina) + 2.0*pWF->phi0 + LAL_PI_4;
 
  // Define pWF->phifRef and phifRef separately, as "phifRef" may ultimately differ superficially
  pWF->phifRef = phifRef;
  
 
  /*
      Here we declare explicit REAL8 variables for main loop in order to avoid numerous
      pointer calls.
  */
  //REAL8 MfRef     = pWF->MfRef;
  REAL8 Msec      = pWF->M_sec;
 
  REAL8 C1IM      = pPhase22->C1Int;
  REAL8 C2IM      = pPhase22->C2Int;
  REAL8 C1RD      = pPhase22->C1MRD;
  REAL8 C2RD      = pPhase22->C2MRD;
 
  REAL8 fPhaseIN  = pPhase22->fPhaseMatchIN;
  REAL8 fPhaseIM  = pPhase22->fPhaseMatchIM;
  REAL8 fAmpIN    = pAmp22->fAmpMatchIN;
  REAL8 fAmpIM    = pAmp22->fAmpRDMin;
 
  if(debug)
  {
    printf("\n\n **** Phase struct initialized. **** \n\n");
    printf("C1IM     = %.4f\n",C1IM);
    printf("C2IM     = %.4f\n",C2IM);
    printf("C1RD     = %.4f\n",C1RD);
    printf("C2RD     = %.4f\n",C2RD);
    printf("fIN      = %.4f\n",fPhaseIN);
    printf("fIM      = %.4f\n",fPhaseIM);
  }
 
  REAL8 Amp0      = pWF->amp0 * pWF->ampNorm;
 
  /* initial_status used to track  */
  UINT4 initial_status = XLAL_SUCCESS;
 
  if (NRTidal_version!=NoNRT_V) {
    int ret = 0;
    UINT4 L_fCut = freqs->length;
    phi_tidal = XLALCreateREAL8Sequence(L_fCut);
    amp_tidal = XLALCreateREAL8Sequence(L_fCut);
    planck_taper = XLALCreateREAL8Sequence(L_fCut);
    /* Get FD tidal phase correction and amplitude factor */
    ret = XLALSimNRTunedTidesFDTidalPhaseFrequencySeries(phi_tidal, amp_tidal, planck_taper, freqs, pWF->m1_SI, pWF->m2_SI, lambda1, lambda2, NRTidal_version);
    XLAL_CHECK(XLAL_SUCCESS == ret, ret, "XLALSimNRTunedTidesFDTidalPhaseFrequencySeries Failed.");
  }
 
  /* Now loop over main driver to generate waveform:  h(f) = A(f) * Exp[I phi(f)] */
  #pragma omp parallel for
  for (UINT4 idx = 0; idx < freqs->length; idx++)
  {
    double Mf    = Msec * freqs->data[idx];   // Mf is declared locally inside the loop
    UINT4 jdx    = idx  + offset;             // jdx is declared locally inside the loop
 
    /* We do not want to generate the waveform at frequencies > f_max (default = 0.3 Mf) */
    if(Mf <= (pWF->f_max_prime * pWF->M_sec))
    {
 
    /* Initialize a struct containing useful powers of Mf */
    IMRPhenomX_UsefulPowers powers_of_Mf;
    initial_status     = IMRPhenomX_Initialize_Powers(&powers_of_Mf,Mf);
    if(initial_status != XLAL_SUCCESS)
    {
      status = initial_status;
      XLALPrintError("IMRPhenomX_Initialize_Powers failed for Mf, initial_status=%d",initial_status);
    }
    else
    {
      /* Generate amplitude and phase at MfRef */
      REAL8 amp = 0.0;
      REAL8 phi = 0.0;
 
      /* The functions in this routine are inlined to help performance. */
      /* Construct phase */
      if(Mf < fPhaseIN)
      {
        phi = IMRPhenomX_Inspiral_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pPhase22);
      }
      else if(Mf > fPhaseIM)
      {
        phi = IMRPhenomX_Ringdown_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pWF, pPhase22) + C1RD + (C2RD * Mf);
      }
      else
      {
        phi = IMRPhenomX_Intermediate_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pWF, pPhase22) + C1IM + (C2IM * Mf);
      }
 
        /* Scale phase by 1/eta */
        phi  *= inveta;
        phi  += linb*Mf + lina + phifRef;
 
          /* Construct amplitude */
          if(Mf < fAmpIN)
          {
                  amp = IMRPhenomX_Inspiral_Amp_22_Ansatz(Mf, &powers_of_Mf, pWF, pAmp22);
          }
          else if(Mf > fAmpIM)
          {
                  amp = IMRPhenomX_Ringdown_Amp_22_Ansatz(Mf, pWF, pAmp22);
          }
          else
          {
        amp = IMRPhenomX_Intermediate_Amp_22_Ansatz(Mf, &powers_of_Mf, pWF, pAmp22);
      }
 
        // /* Reconstruct waveform: h(f) = A(f) * Exp[I phi(f)] */
        // ((*htilde22)->data->data)[jdx] = Amp0 * powers_of_Mf.m_seven_sixths * amp * cexp(I * phi);
 
        /* NOTE that the above lines are commented out to clarify legacy code structure.
         HERE, we allow the user to toggle output of ONLY the model's phase using lalParams.
         The intended use of this option is to enable exact output of the phase, without unwanted numerical effects that result from unwrapping the complete waveform. In particular, at low frequencies, the phase may vary so quickly that adjacent frequency points correctly differ by more than 2*pi, thus limiting unwrap routines which assume that this is not the case.
        */
        if ( pWF->PhenomXOnlyReturnPhase ) {
          //
          ((*htilde22)->data->data)[jdx] = phi;
        } else {
        /* Add NRTidal phase, if selected, code adapted from LALSimIMRPhenomP.c */
 
      if (NRTidal_version!=NoNRT_V) {
          
          REAL8 phaseTidal = phi_tidal->data[idx];
          double ampTidal = amp_tidal->data[idx];
          double window = planck_taper->data[idx];
 
          /* Add spin-induced quadrupole moment terms to tidal phasing */
 
          /* 2PN terms */
          phaseTidal += pfaN * pPhase22->c2PN_tidal* powers_of_lalpi.m_one_third * powers_of_Mf.m_one_third;
 
          /* 3PN terms */
          phaseTidal += pfaN * pPhase22->c3PN_tidal* powers_of_lalpi.one_third * powers_of_Mf.one_third;
 
          /* 3.5PN terms are only in NRTidalv2 */
          if (NRTidal_version == NRTidalv2_V) {
              phaseTidal += pfaN * pPhase22->c3p5PN_tidal * powers_of_lalpi.two_thirds * powers_of_Mf.two_thirds;
          }
            /* Reconstruct waveform with NRTidal terms included: h(f) = [A(f) + A_tidal(f)] * Exp{I [phi(f) - phi_tidal(f)]} * window(f) */
          ((*htilde22)->data->data)[jdx] = pWF->amp0 * (pWF->ampNorm * powers_of_Mf.m_seven_sixths * amp + 2*sqrt(1./5.)*powers_of_lalpi.sqrt * ampTidal) * cexp(I * (phi - phaseTidal))* window;
          
      } 
      else if (NRTidal_version == NoNRT_V) {
        /* Reconstruct waveform: h(f) = A(f) * Exp[I phi(f)] */
        ((*htilde22)->data->data)[jdx] = Amp0 * powers_of_Mf.m_seven_sixths * amp * cexp(I * phi);
        }
        else {
        XLAL_PRINT_INFO("Warning: Only NRTidal, NRTidalv2, and NoNRT NRTidal_version values allowed and NRTidal is not implemented completely in IMRPhenomX*.");
      }
    }
  }
    }
  else
 
    {
        /* Mf > Mf_max, so return 0 */
        ((*htilde22)->data->data)[jdx] = 0.0 + I*0.0;
    }
    
  }
 
  // Free allocated memory
  LALFree(pAmp22);
  LALFree(pPhase22);
  XLALDestroyREAL8Sequence(freqs);
    
  // Free allocated memory for tidal extension
  XLALDestroyREAL8Sequence(phi_tidal);
  XLALDestroyREAL8Sequence(amp_tidal);
  XLALDestroyREAL8Sequence(planck_taper);
    
  if(lalParams_In == 1)
  {
    XLALDestroyDict(lalParams);
  }
 
  return status;
}
 
 
/* Useful wrapper to check for uniform frequency grids taken from LALSimIMRPhenomHM.c */
int IMRPhenomXCheckForUniformFrequencies(
  REAL8Sequence *frequencies,
  REAL8 df
)
{
  INT4 IsUniform = 0;
 
  /* If the frequency series has length of 2 and a df > 0 then it is uniformly sampled */
  if( (frequencies->length == 2) && (df > 0.) )
  {
    IsUniform = 1;
  }
 
  return IsUniform;
};
 
 
 
 
/* ******** PRECESSING IMR PHENOMENOLOGICAL WAVEFORM: IMRPhenomXP ********* */
 
 
/*
    Decleration for internal function to generate precessing-spin, 22 only IMRPhenomXP waveform.
    Declared here and not in header due to IMRPhenomXPrecessionStruct.
*/
int IMRPhenomXPGenerateFD(
  COMPLEX16FrequencySeries **hptilde,       /**< [out] FD waveform           */
  COMPLEX16FrequencySeries **hctilde,       /**< [out] FD waveform           */
  const REAL8Sequence *freqs_In,            /**< Input frequency grid        */
  IMRPhenomXWaveformStruct *pWF,            /**< IMRPhenomX Waveform Struct  */
  IMRPhenomXPrecessionStruct *pPrec,        /**< IMRPhenomXP Waveform Struct */
  LALDict *lalParams                        /**< LAL Dictionary Structure    */
);
 
/**
 * @addtogroup LALSimIMRPhenomX_c
 * @{
 *
 * @name Routines for IMRPhenomXP
 * @{
 *
 * @author Geraint Pratten, Cecilio García Quirós
 *
 * @brief C code for IMRPhenomXP phenomenological waveform model.
 *
 * This is a precessing frequency domain model.
 * See Pratten, García-Quirós, Colleoni et al arXiv:2004.06503 for details.
*  Studies using this model are kindly asked
 * to cite Pratten et al arXiv:2001.11412, García-Quirós et al arXiv:2001.10914
 * and Pratten, García-Quirós, Colleoni et al arXiv:2004.06503.
 *
 * @note The underlying aligned-spin model was calibrated for
 * mass-ratios 1 to 1000.
 *
 * @attention The model can be called outside this parameter space
 * and in all tests to date gives sensible physical results
 * but conclusive statements on the physical fidelity of
 * the model requires further detailed comparisons against
 * numerical-relativity simulations. For more information, see the review wiki
 * under https://git.ligo.org/waveforms/reviews/imrphenomx/wikis/home
 *
 *  IMRPhenomXP/HM is based on a modular framework. User can specify flags to control how Euler angles are calculated, the final spin
 *  parameterization and the conventions used in reconstructing the waveform in the LAL frame. A detailed discussion can be
 *  found in arXiv:2004.06503. The various flags are detailed below.
 *
 *  Precession flags:
 *   PhenomXPrecVersion:
 *     - 101 : NNLO PN Euler angles and a 2PN non-spinning approximation to L
 *     - 102 : NNLO PN Euler angles and a 3PN spinning approximation to L
 *     - 103 : NNLO PN Euler angles and a 4PN spinning approximation to L
 *     - 104 : NNLO PN Euler angles and a 4PN spinning approximation to L augmeneted with leading PN order at all order in spin terms. See N. Siemonsen et al, PRD, 97, 124046, (2018), arXiv:1712.08603
 *     - 220 : MSA Euler angles and a 3PN spinning approximation to L, see K. Chatziioannou et al, PRD, 95, 104004, (2017), arXiv:1703.03967. Defaults to NNLO version 102 if MSA fails to initialize.
 *     - 221 : MSA Euler angles and a 3PN spinning approximation to L.
 *     - 222 : MSA Euler angles as implemented in LALSimInspiralFDPrecAngles.
 *     - 223 : MSA Euler angles as implemented in LALSimInspiralFDPrecAngles. Defaults to NNLO version 102 if MSA fails to initialize. [Default].
 *     - 224 : As version 220 but using the \f$\phi_{z,0}\f$ and \f$\zeta_{z,0}\f$ prescription from 223.
 *     - 310 : Numerical integration of SpinTaylor equations with constant angles in merger-ringdown
 *     - 311 : Numerical integration of SpinTaylor equations with constant angles in merger-ringdown, without tidal and non-black hole spin-induced quadrupole terms in the SpinTaylor equations
 *             when used in IMRPhenomXP_NRTidalv2, for comparison
 *     - 320 : Numerical integration of SpinTaylor equations, analytical continuation in merger-ringdown
 *     - 321 : Numerical integration of SpinTaylor equations, analytical continuation in merger-ringdown, without tidal and non-black hole spin-induced quadrupole terms in the SpinTaylor equations
 *             when used in IMRPhenomXP_NRTidalv2, for comparison
 
 *
 *   PhenomXPExpansionOrder:
 *     - -1, 0, 1, 2, 3, 4, 5. Controls the expansion order of the leading-order MSA terms for both \f$\zeta\f$ and \f$\phi_z\f$. [Default is 5].
 *
 *   PhenomXPFinalSpinMod:
 *     - 0 : Modify final spin based on \f$\chi_p\f$. [Recommended default for NNLO angles].
 *     - 1 : Modify final spin using \f$\chi_{1x}\f$. This is pathological. Do not use. Implemented to compare to PhenomPv3 pre-bug fix.
 *     - 2 : Modify final spin using norm of total in-plane spin vector.
 *     - 3 : Modify final spin using precession-averaged couplings from MSA analysis. Only works with MSA Euler angles (versions 220, 221, 222, 223 and 224). If MSA fails to initialize
 *           or called with NNLO angles, default to version 0. [Default]
 *     - 4: Modify final spin estimating the total in-plane spin from the PN spin-evolution equations.
 *
 *   PhenomXPConvention (App. C and Table IV of arXiv:2004.06503):
 *     - 0 : Conventions defined as following https://dcc.ligo.org/LIGO-T1500602
 *     - 1 : Convention defined following App. C, see Table II of arXiv:2004.06503 for specific details. [Default]
 *     - 5 : Conventions as used in PhenomPv3/HM
 *     - 6 : Conventions defined following App. C, see Table II of arXiv:2004.06503 for specific details.
 *     - 7 : Conventions defined following App. C, see Table II of arXiv:2004.06503 for specific details.
 */
 
 
/*
 *  Prototype wrapper function:
 
 *  Driver routine to calculate an IMRPhenomX precessing,
 *  inspiral-merger-ringdown phenomenological waveform model
 *  in the frequency domain.
 *
 *  All input parameters should be in SI units. Angles should be in radians.
 *
 *  Returns the plus and cross polarizations as a complex frequency series with
 *  equal spacing deltaF and contains zeros from zero frequency to the starting
 *  frequency fLow and zeros beyond the cutoff frequency in the ringdown.
 *
 */
int XLALSimIMRPhenomXPGenerateFD(
  COMPLEX16FrequencySeries **hptilde, /**< [out] Frequency-domain waveform h+ */
  COMPLEX16FrequencySeries **hctilde, /**< [out] Frequency-domain waveform hx */
  REAL8 m1_SI,                        /**< mass of companion 1 (kg) */
  REAL8 m2_SI,                        /**< mass of companion 2 (kg) */
  REAL8 chi1x,                        /**< x-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1y,                        /**< y-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1z,                        /**< z-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2x,                        /**< x-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2y,                        /**< y-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2z,                        /**< z-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  const REAL8 distance,               /**< Distance of source (m) */
  const REAL8 inclination,            /**< inclination of source (rad) */
  const REAL8 phiRef,                 /**< Orbital phase (rad) at reference frequency */
  REAL8 f_min,                        /**< Starting GW frequency (Hz) */
  REAL8 f_max,                        /**< Ending GW frequency (Hz); Defaults to Mf = 0.3 if no f_max is specified. */
  const REAL8 deltaF,                 /**< Sampling frequency (Hz). To use non-uniform frequency grid, set deltaF <= 0. */
  REAL8 fRef_In,                      /**< Reference frequency (Hz) */
  LALDict *lalParams                  /**< LAL Dictionary struct */
)
{
  UINT4 status;
  UINT4 debug = PHENOMXPDEBUG;
 
  /*
  Set initial values of masses and z-components of spins to pass to IMRPhenomXSetWaveformVariables() so it can swap the
  matter parameters (and masses and spins) appropriately if m1 < m2, since the masses and spin vectors will also be
  swapped by XLALIMRPhenomXPCheckMassesAndSpins() below.
  */
  const REAL8 m1_SI_init = m1_SI;
  const REAL8 m2_SI_init = m2_SI;
  const REAL8 chi1z_init = chi1z;
  const REAL8 chi2z_init = chi2z;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  #if PHENOMXPDEBUG == 1
    printf("fRef_In : %e\n",fRef_In);
    printf("m1_SI   : %e\n",m1_SI);
    printf("m2_SI   : %e\n",m2_SI);
    printf("chi1z   : %e\n",chi1z);
    printf("chi2z   : %e\n",chi2z);
    printf("phiRef  : %e\n",phiRef);
    printf("Prec V. : %d\n\n",XLALSimInspiralWaveformParamsLookupPhenomXPrecVersion(lalParams));
    printf("Performing sanity checks...\n");
  #endif
 
  /* Perform initial sanity checks */
  if(*hptilde)        { XLAL_CHECK(NULL != hptilde, XLAL_EFAULT);                                                     }
  if(*hctilde)        { XLAL_CHECK(NULL != hctilde, XLAL_EFAULT);                                                     }
  if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");                   }
  if(deltaF   <= 0.0) { XLAL_ERROR(XLAL_EDOM, "deltaF must be positive.\n");                                          }
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                                              }
  if(f_min    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "f_min must be positive.\n");                                           }
  if(f_max    <  0.0) { XLAL_ERROR(XLAL_EDOM, "f_max must be non-negative.\n");                                       }
  if(distance <= 0.0) { XLAL_ERROR(XLAL_EDOM, "Distance must be positive and greater than 0.\n");                     }
 
  /*
  Perform a basic sanity check on the region of the parameter space in which model is evaluated.
  Behaviour is as follows, consistent with the choices for IMRPhenomXAS/IMRPhenomXHM
    - For mass ratios <= 20.0 and spins <= 0.99: no warning messages.
    - For 1000 > mass ratio > 20 and spins <= 0.99: print a warning message that we are extrapolating outside of *NR* calibration domain.
    - For mass ratios > 1000: throw a hard error that model is not valid.
    - For spins > 0.99: throw a warning that we are extrapolating the model to extremal
 
  */
  REAL8 mass_ratio;
  if(m1_SI > m2_SI)
  {
    mass_ratio = m1_SI / m2_SI;
  }
  else
  {
    mass_ratio = m2_SI / m1_SI;
  }
  if(mass_ratio > 20.0  ) { XLAL_PRINT_WARNING("Warning: Extrapolating outside of Numerical Relativity calibration domain. NNLO angles may become pathological at large mass ratios.\n"); }
  if(mass_ratio > 1000. && fabs(mass_ratio - 1000) > 1e-12) { XLAL_ERROR(XLAL_EDOM, "ERROR: Model not valid at mass ratios beyond 1000.\n"); } // The 1e-12 is to avoid rounding errors
  if(fabs(chi1z) > 0.99 || fabs(chi2z) > 0.99) { XLAL_PRINT_WARNING("Warning: Extrapolating to extremal spins, aligned spin model is not trusted.\n"); }
 
  /* If no reference frequency is given, set it to the starting gravitational wave frequency */
  const REAL8 fRef = (fRef_In == 0.0) ? f_min : fRef_In;
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
  #if PHENOMXPDEBUG == 1
      printf("\n\n **** Initializing waveform struct... **** \n\n");
  #endif
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  // this function will use the original input to swap the order of tidal parameters, if necessary to enforce m1>m2 
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI_init, m2_SI_init, chi1z_init, chi2z_init, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, debug);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
 
  /*
      Create a REAL8 frequency series.
      Use fLow, fHigh, deltaF to compute frequency sequence. Only pass the boundaries (fMin, fMax).
  */
  REAL8Sequence *freqs = XLALCreateREAL8Sequence(2);
  freqs->data[0] = pWF->fMin;
  freqs->data[1] = pWF->f_max_prime;
 
  if(XLALSimInspiralWaveformParamsLookupPhenomXPNRUseTunedAngles(lalParams)){
    XLAL_CHECK(
      (fRef >=  pWF->fMin)&&(fRef <= pWF->f_max_prime),
      XLAL_EFUNC,
      "Error: f_min = %.2f <= fRef = %.2f < f_max = %.2f required when using tuned angles.\n",pWF->fMin,fRef,pWF->f_max_prime);
  }
 
  #if PHENOMXPDEBUG == 1
      printf("\n\n **** Initializing precession struct... **** \n\n");
  #endif
 
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
  
  /* If user chose SpinTaylor angles, set bounds for interpolation of angles */
  int pflag = XLALSimInspiralWaveformParamsLookupPhenomXPrecVersion(lalParams_aux);
  if(pflag==310||pflag==311||pflag==320||pflag==321)
  pPrec->M_MIN = 2, pPrec->M_MAX = 2;
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
  #if PHENOMXPDEBUG == 1
      printf("\n\n **** Calling IMRPhenomXPGenerateFD... **** \n\n");
  #endif
 
  /* We now call the core IMRPhenomXP waveform generator */
  status = IMRPhenomXPGenerateFD(hptilde, hctilde, freqs, pWF, pPrec, lalParams_aux);
  XLAL_CHECK(status == XLAL_SUCCESS, XLAL_EFUNC, "IMRPhenomXPGenerateFD failed to generate IMRPhenomX waveform.\n");
 
  #if PHENOMXPDEBUG == 1
      printf("\n\n **** Call to IMRPhenomXPGenerateFD complete. **** \n\n");
  #endif
 
  /* Resize hptilde & hctilde */
  REAL8 lastfreq;
  if (pWF->f_max_prime < pWF->fMax)
  {
    /*
        The user has requested a higher f_max than Mf = fCut.
        Resize the frequency series to fill with zeros beyond the cutoff frequency.
    */
    lastfreq = pWF->fMax;
  }
  else
  {
     lastfreq = pWF->f_max_prime;
  }
  /* Enforce length to be a power of 2 + 1 */
  size_t n_full = NextPow2(lastfreq / pWF->deltaF) + 1;
  size_t n = (*hptilde)->data->length;
 
  /* Resize the COMPLEX16 frequency series */
  *hptilde = XLALResizeCOMPLEX16FrequencySeries(*hptilde, 0, n_full);
  XLAL_CHECK (*hptilde, XLAL_ENOMEM, "Failed to resize h_+ COMPLEX16FrequencySeries of length %zu (for internal fCut=%f) to new length %zu (for user-requested f_max=%f).\n", n, pWF->fCut, n_full, pWF->fMax );
 
  /* Resize the COMPLEX16 frequency series */
  *hctilde = XLALResizeCOMPLEX16FrequencySeries(*hctilde, 0, n_full);
  XLAL_CHECK (*hctilde, XLAL_ENOMEM, "Failed to resize h_x COMPLEX16FrequencySeries of length %zu (for internal fCut=%f) to new length %zu (for user-requested f_max=%f).\n", n, pWF->fCut, n_full, pWF->fMax );
 
 
  /* Destroy structs and arrays */
  LALFree(pWF);
  LALFree(pPrec);
  XLALDestroyREAL8Sequence(freqs);
  XLALDestroyDict(lalParams_aux);
 
  return XLAL_SUCCESS;
}
 
 
/**
 * Compute waveform in LAL format at specified frequencies for the IMRPhenomXP model.
 *
 * XLALSimIMRPhenomXPGenerateFD() returns the plus and cross polarizations as a complex
 * frequency series with equal spacing deltaF and contains zeros from zero frequency
 * to the starting frequency and zeros beyond the cutoff frequency in the ringdown.
 *
 * In contrast, XLALSimIMRPhenomXPFrequencySequence() returns a
 * complex frequency series with entries exactly at the frequencies specified in
 * the sequence freqs (which can be unequally spaced). No zeros are added.
 *
 */
 int XLALSimIMRPhenomXPFrequencySequence(
  COMPLEX16FrequencySeries **hptilde,   /**< [out] Frequency-domain waveform h+  */
  COMPLEX16FrequencySeries **hctilde,   /**< [out] Frequency-domain waveform hx  */
  const REAL8Sequence *freqs,           /**< input Frequency series [Hz]         */
  REAL8 m1_SI,                        /**< mass of companion 1 (kg) */
  REAL8 m2_SI,                        /**< mass of companion 2 (kg) */
  REAL8 chi1x,                        /**< x-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1y,                        /**< y-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1z,                        /**< z-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2x,                        /**< x-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2y,                        /**< y-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2z,                        /**< z-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  const REAL8 distance,               /**< Distance of source (m) */
  const REAL8 inclination,            /**< inclination of source (rad) */
  const REAL8 phiRef,                 /**< Orbital phase (rad) at reference frequency */
  REAL8 fRef_In,                      /**< Reference frequency (Hz) */
  LALDict *lalParams                  /**< LAL Dictionary struct */
)
 {
   UINT4 status = 0;
   
   const REAL8 m1_SI_init = m1_SI;
   const REAL8 m2_SI_init = m2_SI;
   const REAL8 chi1z_init = chi1z;
   const REAL8 chi2z_init = chi2z;
   
   /*
  Set initial values of masses and z-components of spins to pass to IMRPhenomXSetWaveformVariables() so it can swap the
  matter parameters (and masses and spins) appropriately if m1 < m2, since the masses and spin vectors will also be
  swapped by XLALIMRPhenomXPCheckMassesAndSpins() below.
  */
 
   status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
   XLAL_CHECK(freqs != NULL, XLAL_EFAULT, "Error: XLALSimIMRPhenomXPFrequencySequence *freqs is null.\n");
 
   /* Perform initial sanity checks */
   if(*hptilde)        { XLAL_CHECK(NULL != hptilde, XLAL_EFAULT);                                                     }
   if(*hctilde)        { XLAL_CHECK(NULL != hctilde, XLAL_EFAULT);                                                     }
   if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");                   }
   if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
   if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                                              }
   if(distance <  0.0) { XLAL_ERROR(XLAL_EDOM, "Distance must be positive and greater than 0.\n");                     }
 
   /*
     Perform a basic sanity check on the region of the parameter space in which model is evaluated. Behaviour is as follows:
       - For mass ratios <= 20.0 and spins <= 0.99: no warning messages.
       - For 1000 > mass ratio > 20 and spins <= 0.99: print a warning message that we are extrapolating outside of *NR* calibration domain.
       - For mass ratios > 1000: throw a hard error that model is not valid.
       - For spins > 0.99: throw a warning that we are extrapolating the model to extremal
       - At high mass ratios > 20, the NNLO Euler angles may develop known pathologies.
   */
   REAL8 mass_ratio;
   if(m1_SI > m2_SI)
   {
     mass_ratio = m1_SI / m2_SI;
   }
   else
   {
     mass_ratio = m2_SI / m1_SI;
   }
   if(mass_ratio > 20.0  ) { XLAL_PRINT_WARNING("Warning: Extrapolating outside of Numerical Relativity calibration domain. NNLO angles may become pathological at large mass ratios.\n"); }
   if(mass_ratio > 1000. && fabs(mass_ratio - 1000) > 1e-12) { XLAL_ERROR(XLAL_EDOM, "ERROR: Model not valid at mass ratios beyond 1000.\n"); } // The 1e-12 is to avoid rounding errors
   if(sqrt(chi1x*chi1x + chi1y*chi1y + chi1z*chi1z) > 0.99 || sqrt(chi2x*chi2x + chi2y*chi2y + chi2z*chi2z) > 0.99) { XLAL_PRINT_WARNING("Warning: Extrapolating to extremal spins, model is not trusted.\n"); }
 
   /* If fRef is not provided, then set fRef to be the starting GW Frequency */
   const REAL8 fRef = (fRef_In == 0.0) ? freqs->data[0] : fRef_In;
 
   const REAL8 f_min_In  = freqs->data[0];
   const REAL8 f_max_In  = freqs->data[freqs->length - 1];
 
  if(XLALSimInspiralWaveformParamsLookupPhenomXPNRUseTunedAngles(lalParams)){
    XLAL_CHECK(
      (fRef >=  f_min_In)&&(fRef <= f_max_In),
      XLAL_EFUNC,
      "Error: f_min = %.2f <= fRef = %.2f < f_max = %.2f required when using tuned angles.\n",f_min_In,fRef,f_max_In);
  }
 
   /* Use an auxiliar laldict to not overwrite the input argument */
   LALDict *lalParams_aux;
   /* setup mode array */
   if (lalParams == NULL)
   {
       lalParams_aux = XLALCreateDict();
   }
   else{
       lalParams_aux = XLALDictDuplicate(lalParams);
   }
 
   /*
      Passing deltaF = 0 implies that freqs is a frequency grid with non-uniform spacing.
      The function waveform then start at lowest given frequency.
   */
   status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
   XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
   /* Initialize IMRPhenomX waveform struct and perform sanity check. */
   IMRPhenomXWaveformStruct *pWF;
   pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
   status = IMRPhenomXSetWaveformVariables(pWF, m1_SI_init, m2_SI_init, chi1z_init, chi2z_init, 0.0, fRef, phiRef, f_min_In, f_max_In, distance, inclination, lalParams_aux, 0);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
   /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
   IMRPhenomXPrecessionStruct *pPrec;
   pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
   
  /* If user chose SpinTaylor angles, set bounds for interpolation of angles */
  int pflag = XLALSimInspiralWaveformParamsLookupPhenomXPrecVersion(lalParams_aux);
  if(pflag==310||pflag==311||pflag==320||pflag==321)
  {
  pPrec->M_MIN = 2, pPrec->M_MAX = 2;
  }
 
 
   status = IMRPhenomXGetAndSetPrecessionVariables(
              pWF,
              pPrec,
              m1_SI,
              m2_SI,
              chi1x,
              chi1y,
              chi1z,
              chi2x,
              chi2y,
              chi2z,
              lalParams_aux,
              PHENOMXDEBUG
            );
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAndSetPrecessionVariables failed.\n");
 
   /* Now call the core IMRPhenomXP waveform generator */
   status = IMRPhenomXPGenerateFD(hptilde, hctilde, freqs, pWF, pPrec, lalParams_aux);
   XLAL_CHECK(status == XLAL_SUCCESS, XLAL_EFUNC, "IMRPhenomXASFDCore failed to generate IMRPhenomX waveform.\n");
 
   LALFree(pPrec);
   LALFree(pWF);
   XLALDestroyDict(lalParams_aux);
 
   return XLAL_SUCCESS;
 }
 
 /*
  *  Adapted from IMRPhenomPv2. Avoids clashes with IMRPhenomD/P namespace.
  *
  *  Function to map LAL parameters
  *    - masses,
  *    - 6 spin components
  *    - phiRef at f_ref
  *    - inclination at f_ref
  *
  *  Assumed to be in the source frame (L frame):
  *    - LN vector points in the z direction, i.e. lnhat = (0,0,1)
  *    - Separation vector n is in the x direction
  *    - Spherical angles of the line of sight N are (incl,Pi/2-phiRef))
  *
  *  The IMRPhenomXP intrinsic parameters inherit those from IMRPhenomP:
  *  [chi1_l, chi2_l, chip, thetaJN, alpha0 and phi_aligned]
  *
  *  All input masses and frequencies should be in SI units.
  *
  */
  int XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame(
       REAL8 *chi1L,                     /**< [out] Dimensionless aligned spin on companion 1 */
       REAL8 *chi2L,                     /**< [out] Dimensionless aligned spin on companion 2 */
       REAL8 *chi_p,                     /**< [out] Effective precession parameter: Schmidt, Ohme, Hannam, PRD, 91,024043 (2015) */
       REAL8 *thetaJN,                   /**< [out] Angle between J0 and line of sight (z-direction)            */
       REAL8 *alpha0,                    /**< [out] Initial value of alpha angle (azimuthal precession angle)   */
       REAL8 *phi_aligned,               /**< [out] Initial phase to feed the underlying aligned-spin model     */
       REAL8 *zeta_polarization,         /**< [out] Angle to rotate the polarizations                           */
       REAL8 m1_SI,                /**< Mass of companion 1 (kg)    */
       REAL8 m2_SI,                /**< Mass of companion 2 (kg)    */
       REAL8 f_ref,                /**< Reference GW frequency (Hz) */
       REAL8 phiRef,               /**< Reference phase (Hz)        */
       REAL8 incl,                 /**< Inclination : angle between LN and the line of sight */
       REAL8 chi1x,                /**< Initial value of chi1x: dimensionless spin of BH 1 in L frame    */
       REAL8 chi1y,                /**< Initial value of chi1y: dimensionless spin of BH 1 in L frame    */
       REAL8 chi1z,                /**< Initial value of chi1z: dimensionless spin of BH 1 in L frame    */
       REAL8 chi2x,                /**< Initial value of chi2x: dimensionless spin of BH 2 in L frame    */
       REAL8 chi2y,                /**< Initial value of chi2y: dimensionless spin of BH 2 in L frame    */
       REAL8 chi2z,                /**< Initial value of chi2z: dimensionless spin of BH 2 in L frame    */
       LALDict *lalParams                /**< LAL Dictionary */
   )
   {
     /* Perform the usual sanity checks... */
     XLAL_CHECK(chi1L       != NULL, XLAL_EFAULT);
     XLAL_CHECK(chi2L       != NULL, XLAL_EFAULT);
     XLAL_CHECK(chi_p       != NULL, XLAL_EFAULT);
     XLAL_CHECK(thetaJN     != NULL, XLAL_EFAULT);
     XLAL_CHECK(alpha0      != NULL, XLAL_EFAULT);
     XLAL_CHECK(phi_aligned != NULL, XLAL_EFAULT);
 
     XLAL_CHECK(f_ref > 0, XLAL_EDOM, "Error in XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame: Reference frequency must be positive.\n");
     XLAL_CHECK(m1_SI > 0, XLAL_EDOM, "Error in XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame: m1 must be positive.\n");
     XLAL_CHECK(m2_SI > 0, XLAL_EDOM, "Error in XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame: m2 must be positive.\n");
     XLAL_CHECK(fabs(chi1x*chi1x + chi1y*chi1y + chi1z*chi1z) <= 1.0, XLAL_EDOM, "Error in XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame: |S1/m1^2| must be <= 1.\n");
     XLAL_CHECK(fabs(chi2x*chi2x + chi2y*chi2y + chi2z*chi2z) <= 1.0, XLAL_EDOM, "Error in XLALSimIMRPhenomXPCalculateModelParametersFromSourceFrame: |S2/m2^2| must be <= 1.\n");
 
     /* Use an auxiliar laldict to not overwrite the input argument */
     LALDict *lalParams_aux;
     /* setup mode array */
     if (lalParams == NULL)
     {
         lalParams_aux = XLALCreateDict();
     }
     else{
         lalParams_aux = XLALDictDuplicate(lalParams);
     }
 
     /* Check if m1 > m2, swap the bodies otherwise. */
     INT4 status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
     XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
 
     /* Initialize the useful powers of LAL_PI */
     status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
     XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
     /* Initialize IMRPhenomX Waveform struct and check that it initialized correctly */
     IMRPhenomXWaveformStruct *pWF;
     pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
     status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1z, chi2z, 0.125, f_ref, phiRef, 30., 1024., 1e6*LAL_PC_SI, incl, lalParams_aux, PHENOMXDEBUG);
     XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
     /* Initialize IMRPhenomX Precession struct and check that it generated successfully */
     IMRPhenomXPrecessionStruct *pPrec;
     pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
     status = IMRPhenomXGetAndSetPrecessionVariables(
                pWF,
                pPrec,
                m1_SI,
                m2_SI,
                chi1x,
                chi1y,
                chi1z,
                chi2x,
                chi2y,
                chi2z,
                lalParams_aux,
                PHENOMXDEBUG
              );
     XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
    if(pPrec->IMRPhenomXPNRUseTunedAngles)
    {
      /* Generate PNR structs */
      IMRPhenomXWaveformStruct *pWF_SingleSpin = NULL;
      IMRPhenomXPrecessionStruct *pPrec_SingleSpin = NULL;
      IMRPhenomX_PNR_alpha_parameters *alphaParams = NULL;
      IMRPhenomX_PNR_beta_parameters *betaParams = NULL;
 
      status = IMRPhenomX_PNR_PopulateStructs(
        &pWF_SingleSpin,
        &pPrec_SingleSpin,
        &alphaParams,
        &betaParams,
        pWF,
        pPrec,
        lalParams);
      XLAL_CHECK(
        XLAL_SUCCESS == status,
        XLAL_EFUNC,
        "Error: IMRPhenomX_PNR_PopulateStructs failed!\n");
 
      REAL8 betaPNR_ref = 0.0;
 
      REAL8 Mf_ref = pWF->MfRef;
      /* generate PNR angles */
      REAL8 q = pWF->q;
      REAL8 chi = pPrec->chi_singleSpin;
 
      UINT4 attach_MR_beta = IMRPhenomX_PNR_AttachMRBeta(betaParams);
      /* inside calibration region */
      if ((q <= pPrec->PNR_q_window_lower) && (chi <= pPrec->PNR_chi_window_lower))
      {
        /* First check to see if we attach the MR tuning to beta */
        if (attach_MR_beta) /* yes we do! */
        {
          betaPNR_ref = IMRPhenomX_PNR_GeneratePNRBetaAtMf(Mf_ref, betaParams, pWF, pPrec, pWF_SingleSpin, pPrec_SingleSpin);
        }
        else /* don't attach MR tuning to beta */
        {
          betaPNR_ref = IMRPhenomX_PNR_GeneratePNRBetaNoMR(Mf_ref, pWF, pPrec); 
        }
      }
      /* inside transition region */
      else if ((q <= pPrec->PNR_q_window_upper) && (chi <= pPrec->PNR_chi_window_upper))
      {
        /* First check to see if we attach the MR tuning to beta */
        if (attach_MR_beta) /* yes we do! */
        {
          betaPNR_ref = IMRPhenomX_PNR_GenerateMergedPNRBetaAtMf(Mf_ref, betaParams, pWF, pPrec, pWF_SingleSpin, pPrec_SingleSpin); 
        }
        else /* don't attach MR tuning to beta */
        {
          betaPNR_ref = IMRPhenomX_PNR_GeneratePNRBetaNoMR(Mf_ref, pWF, pPrec);  
        }
      }
      /* fully in outside calibration region */
      else
      {
        betaPNR_ref = IMRPhenomX_PNR_GeneratePNRBetaNoMR(Mf_ref, pWF, pPrec);
      }
      
      status = IMRPhenomX_PNR_RemapThetaJSF(betaPNR_ref, pWF, pPrec, lalParams);
      XLAL_CHECK(
        XLAL_SUCCESS == status,
        XLAL_EFUNC,
        "Error: IMRPhenomX_PNR_RemapThetaJSF failed in IMRPhenomX_PNR_GeneratePNRAngles.");
 
      /* clean this up */
      IMRPhenomX_PNR_FreeStructs(
        &pWF_SingleSpin,
        &pPrec_SingleSpin,
        &alphaParams,
        &betaParams);
    }
 
     /* Aligned spins */
     *chi1L = chi1z; /* Dimensionless aligned spin on BH 1 */
     *chi2L = chi2z; /* Dimensionless aligned spin on BH 2 */
 
     *chi_p = pPrec->chi_p;
     *thetaJN = pPrec->thetaJN;
     *alpha0 = pPrec->alpha0;
     *phi_aligned = pPrec->phi0_aligned;
     *zeta_polarization = pPrec->zeta_polarization;
 
     LALFree(pWF);
     if (pWF->APPLY_PNR_DEVIATIONS && pWF->IMRPhenomXPNRForceXHMAlignment) {
      // Cleaning up
      LALFree(pPrec->pWF22AS);
     }
     LALFree(pPrec);
     XLALDestroyDict(lalParams_aux);
 
     return status;
 }
 
 
 /*
  *  Prototype wrapper function:
  *  Driver routine to calculate the MSA Euler angles in the frequency domain.
  *
  *  All input parameters should be in SI units.
  *
  *  Returns \f$\phi_z\f$, \f$\zeta\f$ and \f$\cos \theta_L \f$
  */
 int XLALSimIMRPhenomXPMSAAngles(
  REAL8Sequence **alpha_of_f,        /**< [out] The azimuthal angle of L around J */
  REAL8Sequence **gamma_of_f,        /**< [out] The third Euler angle describing L with respect to J. Fixed by minmal rotation condition. */
  REAL8Sequence **cosbeta_of_f,      /**< [out]  Cosine of polar angle between L and J */
  const REAL8Sequence *freqs,        /**< Input Frequency series [Hz] */
  REAL8 m1_SI,                       /**< mass of companion 1 (kg) */
  REAL8 m2_SI,                       /**< mass of companion 2 (kg) */
  REAL8 chi1x,                       /**< x-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1y,                       /**< y-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1z,                       /**< z-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2x,                       /**< x-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2y,                       /**< y-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2z,                       /**< z-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 inclination,                        /**< Inclination : angle between LN and the line of sight */
  REAL8 fRef_In,                     /**< Reference frequency (Hz) */
  INT4 mprime,                       /**< Spherical harmonic order m */
  LALDict *lalParams                 /**< LAL Dictionary struct */
)
{
    
   UINT4 status = 0;
 
   status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
   /* Perform initial sanity checks */
   if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");                   }
   if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
   if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                                              }
 
   REAL8 chi1L, chi2L;
   chi1L = chi1z;
   chi2L = chi2z;
 
   /* If fRef is not provided, then set fRef to be the starting GW Frequency */
   const REAL8 fRef = (fRef_In == 0.0) ? freqs->data[0] : fRef_In;
 
  //  const REAL8 f_min_In  = freqs->data[0];
  //  const REAL8 f_max_In  = freqs->data[freqs->length - 1];
 
   /* Use an auxiliar laldict to not overwrite the input argument */
   LALDict *lalParams_aux;
   /* setup mode array */
   if (lalParams == NULL)
   {
     lalParams_aux = XLALCreateDict();
   }
   else
   {
     lalParams_aux = XLALDictDuplicate(lalParams);
   }
 
   /* Initialize IMRPhenomX waveform struct and perform sanity check. */
   IMRPhenomXWaveformStruct *pWF;
   pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
   status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, 0.0, fRef, 0.0, freqs->data[0], freqs->data[freqs->length-1], 1.0, inclination, lalParams_aux, 0);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
 
   /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
   IMRPhenomXPrecessionStruct *pPrec;
   pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
   int pflag     = XLALSimInspiralWaveformParamsLookupPhenomXPrecVersion(lalParams_aux);
   if (pflag == 300) pflag = 223;
 
   if(pflag != 220 && pflag != 221 && pflag != 222 && pflag != 223 && pflag != 224)
   {
     XLAL_ERROR(XLAL_EDOM, "Error: MSA system currently only supported for IMRPhenomXPrecVersion 220, 221, 222, 223 or 224.\n");
   }
 
   status = IMRPhenomXGetAndSetPrecessionVariables(
              pWF,
              pPrec,
              m1_SI,
              m2_SI,
              chi1x,
              chi1y,
              chi1z,
              chi2x,
              chi2y,
              chi2z,
              lalParams_aux,
              PHENOMXDEBUG
            );
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAndSetPrecessionVariables failed.\n");
 
   REAL8 v        = 0.0;
   vector vangles = {0.,0.,0.};
   
   *alpha_of_f = XLALCreateREAL8Sequence(freqs->length);
   *gamma_of_f = XLALCreateREAL8Sequence(freqs->length);
   *cosbeta_of_f = XLALCreateREAL8Sequence(freqs->length);
   
   for(UINT4 i = 0; i < freqs->length; i++)
   {
     // Input list of *gravitational-wave* frequencies not *orbital* frequencies*
     v       = cbrt( freqs->data[i] * pPrec->piGM * (2.0 / mprime) );
     vangles = IMRPhenomX_Return_phi_zeta_costhetaL_MSA(v,pWF,pPrec);
 
     (*alpha_of_f)->data[i]      = vangles.x - pPrec->alpha_offset;
     (*gamma_of_f)->data[i]      = -(vangles.y - pPrec->epsilon_offset);
     (*cosbeta_of_f)->data[i] = vangles.z;
   }
 
   LALFree(pPrec);
   LALFree(pWF);
   XLALDestroyDict(lalParams_aux);
 
   return XLAL_SUCCESS;
 }
 
 /*
  *  Prototype wrapper function:
 
  *  Driver routine to calculate the NNLO PN Euler angles in the frequency domain.
  *
  *  All input parameters should be in SI units.
  *
  *  Returns \f$\alpha\f$, \f$\cos \beta\f$ and \f$\gamma\f$
  */
 int XLALSimIMRPhenomXPPNAngles(
  REAL8Sequence **alpha_of_f,               /**< [out] Azimuthal angle of L w.r.t J */
  REAL8Sequence **gamma_of_f,               /**< [out] Third Euler angle describing L w.r.t J, fixed by minimal rotation condition */
  REAL8Sequence **cosbeta_of_f,             /**< [out] Cosine of polar angle between L and J */
  const REAL8Sequence *freqs,               /**< Input Frequency series [Hz] */
  REAL8 m1_SI,                              /**< mass of companion 1 (kg) */
  REAL8 m2_SI,                              /**< mass of companion 2 (kg) */
  REAL8 chi1x,                              /**< x-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1y,                              /**< y-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi1z,                              /**< z-component of the dimensionless spin of object 1 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2x,                              /**< x-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2y,                              /**< y-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 chi2z,                              /**< z-component of the dimensionless spin of object 2 w.r.t. Lhat = (0,0,1) */
  REAL8 inclination,                        /**< Inclination : angle between LN and the line of sight */
  REAL8 fRef_In,                            /**< Reference frequency (Hz) */
  INT4 mprime,                              /**< Spherical harmonic order m */
  LALDict *lalParams                        /**< LAL Dictionary struct */
)
{
 
   UINT4 status = 0;
 
   status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
   #if PHENOMXPDEBUG == 1
    printf("\nm1  : %.6f\n",m1_SI);
    printf("m2    : %.6f\n",m2_SI);
    printf("chi1x : %.6f\n",chi1x);
    printf("chi1y : %.6f\n",chi1y);
    printf("chi1z : %.6f\n",chi1z);
    printf("chi2x : %.6f\n",chi2x);
    printf("chi2y : %.6f\n",chi2y);
    printf("chi2z : %.6f\n\n",chi2z);
   #endif
 
   /* Perform initial sanity checks */
   if(fRef_In  <  0.0) { XLAL_ERROR(XLAL_EDOM, "fRef_In must be positive or set to 0 to ignore.\n");                   }
   if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
   if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");                                              }
 
   REAL8 chi1L, chi2L;
   chi1L = chi1z;
   chi2L = chi2z;
 
   /* If fRef is not provided, then set fRef to be the starting GW Frequency */
   const REAL8 fRef = (fRef_In == 0.0) ? freqs->data[0] : fRef_In;
 
  //  const REAL8 f_min_In  = freqs->data[0];
  //  const REAL8 f_max_In  = freqs->data[freqs->length - 1];
 
    /* Use an auxiliar laldict to not overwrite the input argument */
    LALDict *lalParams_aux;
    /* setup mode array */
    if (lalParams == NULL)
    {
        lalParams_aux = XLALCreateDict();
   }
   else
   {
        lalParams_aux = XLALDictDuplicate(lalParams);
   }
 
   /* Initialize IMRPhenomX waveform struct and perform sanity check. */
   IMRPhenomXWaveformStruct *pWF;
   pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
   status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, 0.0, fRef, 0.0, freqs->data[0], freqs->data[freqs->length-1], 1.0, inclination, lalParams_aux, 0);
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
   /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
   IMRPhenomXPrecessionStruct *pPrec;
   pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
   
   /* The precessing prescription needs to be NNLO */
   if (XLALSimInspiralWaveformParamsLookupPhenomXPrecVersion(lalParams_aux) > 200 ){
       XLALSimInspiralWaveformParamsInsertPhenomXPrecVersion(lalParams_aux, 102);
   }
   
 
   status = IMRPhenomXGetAndSetPrecessionVariables(
              pWF,
              pPrec,
              m1_SI,
              m2_SI,
              chi1x,
              chi1y,
              chi1z,
              chi2x,
              chi2y,
              chi2z,
              lalParams_aux,
              PHENOMXDEBUG
            );
   XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAndSetPrecessionVariables failed.\n");
 
   /* Spin variable used to calculate \cos \beta */
   REAL8 s, s2;
 
   /* Orbital velocity and orbital frequency */
   REAL8 v, omega, logomega, omega_cbrt, omega_cbrt2;
 
   /* PN Orbital angular momenta */
   REAL8 L = 0.0;
   
   *alpha_of_f = XLALCreateREAL8Sequence(freqs->length);
   *gamma_of_f = XLALCreateREAL8Sequence(freqs->length);
   *cosbeta_of_f = XLALCreateREAL8Sequence(freqs->length);
 
   for(UINT4 i = 0; i < freqs->length; i++)
   {
     /* Orbital frequency and velocity */
     omega       = freqs->data[i] * pPrec->piGM * (2.0 / mprime);
     logomega    = log(omega);
     omega_cbrt  = cbrt(omega);
     omega_cbrt2 = omega_cbrt * omega_cbrt;
     v           = omega_cbrt;
 
     L = XLALSimIMRPhenomXLPNAnsatz(v, pWF->eta/v, pPrec->L0, pPrec->L1, pPrec->L2, pPrec->L3, pPrec->L4, pPrec->L5, pPrec->L6, pPrec->L7, pPrec->L8, pPrec->L8L);
 
     (*alpha_of_f)->data[i]      = IMRPhenomX_PN_Euler_alpha_NNLO(pPrec,omega,omega_cbrt2,omega_cbrt,logomega);
 
     /* \gamma = - \epsilon */
     (*gamma_of_f)->data[i]      = -IMRPhenomX_PN_Euler_epsilon_NNLO(pPrec,omega,omega_cbrt2,omega_cbrt,logomega);
 
     s        = pPrec->Sperp / (L + pPrec->SL);
     s2       = s*s;
 
     (*cosbeta_of_f)->data[i]    = copysign(1.0, L + pPrec->SL) / sqrt(1.0 + s2);
   }
 
   LALFree(pPrec);
   LALFree(pWF);
   XLALDestroyDict(lalParams_aux);
 
   return XLAL_SUCCESS;
 }
 
 /** @} */
 /** @} */
 
 /* *********************************************************************************
  *
  * The following private function generates an IMRPhenomXP frequency-domain waveform
  *   - Precessing spins
  *   - Only the 22 mode in the co-precessing frame
  *   - Physical parameters are passed via the waveform struct
  * *********************************************************************************
  */
int IMRPhenomXPGenerateFD(
  COMPLEX16FrequencySeries **hptilde,       /**< [out] FD waveform           */
  COMPLEX16FrequencySeries **hctilde,       /**< [out] FD waveform           */
  const REAL8Sequence *freqs_In,            /**< Input frequency grid        */
  IMRPhenomXWaveformStruct *pWF,            /**< IMRPhenomX Waveform Struct  */
  IMRPhenomXPrecessionStruct *pPrec,        /**< IMRPhenomXP Waveform Struct */
  LALDict *lalParams                        /**< LAL Dictionary Structure    */
)
{
  #if PHENOMXPDEBUG == 1
    printf("\n **** Now in IMRPhenomXPGenerateFD... **** \n");
  #endif
 
  /* Set tidal version */
  NRTidal_version_type NRTidal_version ;
  NRTidal_version=IMRPhenomX_SetTidalVersion(lalParams);
 
  /* Set LIGOTimeGPS */
  LIGOTimeGPS ligotimegps_zero = LIGOTIMEGPSZERO; // = {0,0}
 
  /* Initialize useful powers of LAL_PI */
  int status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Inherit minimum and maximum frequencies to generate wavefom from input frequency grid */
  double f_min = freqs_In->data[0];
  double f_max = freqs_In->data[freqs_In->length - 1];
 
  /* Size of array */
  size_t npts     = 0;
 
  /* Index shift between freqs and the frequency series */
  UINT4 offset    = 0;
 
  /* Initialize frequency sequence */
  REAL8Sequence *freqs = NULL;
 
  /* Initialize tidal corrections (following tidal code modified from LALSimIMRPhenomP.c) */
  REAL8Sequence *phi_tidal = NULL;
  REAL8Sequence *amp_tidal = NULL;
  REAL8Sequence *planck_taper = NULL;
 
  /* Set matter parameters (set to zero in pWF if NRTidal additions are not turned on) */
  REAL8 lambda1 = pWF->lambda1;
  REAL8 lambda2 = pWF->lambda2;
    
  /* New variables needed for the NRTidalv2 model */
  REAL8 X_A = pWF->m1; // Already scaled by Mtot
  REAL8 X_B = pWF->m2; // Ibid.
  REAL8 pfaN = 3./(128.*X_A*X_B);
 
  /* If deltaF is non-zero then we need to generate a uniformly sampled frequency grid of spacing deltaF. Start at f = 0. */
  if(pWF->deltaF > 0)
  {
    /* Return the closest power of 2 */
    npts = (size_t) (f_max / pWF->deltaF) + 1;
 
    /* Debug information */
    #if PHENOMXPDEBUG == 1
      printf("npts     = %zu\n",npts);
      printf("fMin     = %.4f\n",f_min);
      printf("fMax     = %.4f\n",f_max);
      printf("dF       = %.4f\n",pWF->deltaF);
    #endif
 
    /* Coalescence time is fixed to t=0, shift by overall length in time.  */
    XLAL_CHECK(XLALGPSAdd(&ligotimegps_zero, -1. / pWF->deltaF), XLAL_EFUNC, "Failed to shift the coalescence time to t=0. Tried to apply a shift of -1/df with df = %g.\n", pWF->deltaF);
 
    /* Initialize the htilde frequency series */
    *hptilde = XLALCreateCOMPLEX16FrequencySeries("hptilde: FD waveform",&ligotimegps_zero,0.0,pWF->deltaF,&lalStrainUnit,npts);
    *hctilde = XLALCreateCOMPLEX16FrequencySeries("hctilde: FD waveform",&ligotimegps_zero,0.0,pWF->deltaF,&lalStrainUnit,npts);
 
    /* Check that frequency series generated okay */
    XLAL_CHECK(*hptilde,XLAL_ENOMEM,"Failed to allocate COMPLEX16FrequencySeries h_+ of length %zu for f_max = %f, deltaF = %g.\n",npts,f_max,pWF->deltaF);
    XLAL_CHECK(*hctilde,XLAL_ENOMEM,"Failed to allocate COMPLEX16FrequencySeries h_x of length %zu for f_max = %f, deltaF = %g.\n",npts,f_max,pWF->deltaF);
 
    /* Frequencies will be set using only the lower and upper bounds that we passed */
    size_t iStart = (size_t) (f_min / pWF->deltaF);
    size_t iStop  = (size_t) (f_max / pWF->deltaF) + 1;
 
    XLAL_CHECK ( (iStop <= npts) && (iStart <= iStop), XLAL_EDOM,
          "minimum freq index %zu and maximum freq index %zu do not fulfill 0<=ind_min<=ind_max<=htilde->data>length=%zu.\n", iStart, iStop, npts);
 
    /* Allocate memory for frequency array and terminate if this fails */
    freqs = XLALCreateREAL8Sequence(iStop - iStart);
    if (!freqs)
    {
      XLAL_ERROR(XLAL_EFUNC, "Frequency array allocation failed.");
    }
 
    /* Populate frequency array */
    for (UINT4 i = iStart; i < iStop; i++)
    {
      freqs->data[i-iStart] = i * pWF->deltaF;
    }
    offset = iStart;
  }
  else
  {
    /* freqs is a frequency grid with non-uniform spacing, so we start at the lowest given frequency */
    npts      = freqs_In->length;
    *hptilde  = XLALCreateCOMPLEX16FrequencySeries("hptilde: FD waveform", &ligotimegps_zero, f_min, pWF->deltaF, &lalStrainUnit, npts);
    *hctilde  = XLALCreateCOMPLEX16FrequencySeries("hctilde: FD waveform", &ligotimegps_zero, f_min, pWF->deltaF, &lalStrainUnit, npts);
 
    XLAL_CHECK (*hptilde, XLAL_ENOMEM, "Failed to allocated waveform COMPLEX16FrequencySeries h_+ of length %zu from sequence.\n", npts);
    XLAL_CHECK (*hctilde, XLAL_ENOMEM, "Failed to allocated waveform COMPLEX16FrequencySeries h_x of length %zu from sequence.\n", npts);
 
    offset = 0;
    freqs  = XLALCreateREAL8Sequence(freqs_In->length);
 
    /* Allocate memory for frequency array and terminate if this fails */
    if (!freqs)
    {
      XLAL_ERROR(XLAL_EFUNC, "Frequency array allocation failed.");
    }
 
    /* Populate frequency array */
    for (UINT4 i = 0; i < freqs_In->length; i++)
    {
      freqs->data[i] = freqs_In->data[i];
    }
  }
 
  memset((*hptilde)->data->data, 0, npts * sizeof(COMPLEX16));
  XLALUnitMultiply(&((*hptilde)->sampleUnits), &((*hptilde)->sampleUnits), &lalSecondUnit);
 
  memset((*hctilde)->data->data, 0, npts * sizeof(COMPLEX16));
  XLALUnitMultiply(&((*hctilde)->sampleUnits), &((*hctilde)->sampleUnits), &lalSecondUnit);
 
  /* Check if LAL dictionary exists. If not, create a LAL dictionary. */
  UNUSED INT4 lalParams_In = 0;
  if(lalParams == NULL)
  {
    lalParams_In = 1;
    lalParams    = XLALCreateDict();
  }
 
  #if PHENOMXPDEBUG == 1
    printf("\n\n **** Initializing amplitude struct... **** \n\n");
  #endif
 
    // numerical angles;
    REAL8Sequence *alpha = NULL;
    REAL8Sequence *gamma = NULL;
    REAL8Sequence *cosbeta = NULL;
    
    if(pPrec->precessing_tag==3){
        
        status = IMRPhenomXPSpinTaylorAnglesIMR(&alpha,&cosbeta,&gamma,freqs,pWF,pPrec,lalParams);
        XLAL_CHECK(status == XLAL_SUCCESS, XLAL_EFUNC, "IMRPhenomXPSpinTaylorAnglesIMR failed.");
        
    }
 
 
  /* Allocate and initialize the PhenomX 22 amplitude coefficients struct */
  IMRPhenomXAmpCoefficients *pAmp22;
  pAmp22 = XLALMalloc(sizeof(IMRPhenomXAmpCoefficients));
  status = IMRPhenomXGetAmplitudeCoefficients(pWF,pAmp22);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetAmplitudeCoefficients failed.\n");
 
  #if PHENOMXPDEBUG == 1
    printf("\n\n **** Amplitude struct initialized. **** \n\n");
    printf("\n\n **** Initializing phase struct... **** \n\n");
  #endif
 
  /* Allocate and initialize the PhenomX 22 phase coefficients struct */
  IMRPhenomXPhaseCoefficients *pPhase22;
  pPhase22 = XLALMalloc(sizeof(IMRPhenomXPhaseCoefficients));
  status   = IMRPhenomXGetPhaseCoefficients(pWF,pPhase22);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXGetPhaseCoefficients failed.\n");
    if(NRTidal_version!=NoNRT_V) IMRPhenomXGetTidalPhaseCoefficients(pWF,pPhase22,NRTidal_version);
    
  #if PHENOMXPDEBUG == 1
    printf("\n\n **** Phase struct initialized. **** \n\n");
  #endif
 
  /* Initialize a struct containing useful powers of Mf at fRef */
  IMRPhenomX_UsefulPowers powers_of_MfRef;
  status = IMRPhenomX_Initialize_Powers(&powers_of_MfRef,pWF->MfRef);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for MfRef.\n");
 
  /*
      Time shift so peak amplitude is near t ~ 0.
  */
 
  /* Linear time and phase shifts so that model peaks near t ~ 0                        */
  /* lina provides an additional phase shift, which we currently don't use, but we keep */
  /* the variable in case we change our mind about phase alignement in the future       */
  REAL8 lina = 0;
 
  /* Get phase connection coefficients = phase offsets between calibration regions to achieve C^1 phase */
 
  IMRPhenomX_Phase_22_ConnectionCoefficients(pWF,pPhase22);
 
  /* Apply time shift, see IMRPhenomX_TimeShift_22 for details of current implementation */
  double linb = IMRPhenomX_TimeShift_22(pPhase22, pWF);
   // extra contribution to phi(fRef) due to tidal corrections
  double phiTfRef = 0.;
  
  // correct for time and phase shifts due to tidal phase
  REAL8 f_final=freqs->data[freqs->length-1];
    
  if(NRTidal_version!=NoNRT_V){
      REAL8 f_merger = XLALSimNRTunedTidesMergerFrequency(pWF->Mtot, pWF->kappa2T, pWF->q);
      if(f_merger<f_final)
          f_final = f_merger;
      
      IMRPhenomX_UsefulPowers powers_of_ffinal;
      REAL8 Mf_final = f_final*pWF->M_sec;
      status = IMRPhenomX_Initialize_Powers(&powers_of_ffinal,Mf_final);
      XLAL_CHECK(XLAL_SUCCESS == status, status, "IMRPhenomX_Initialize_Powers failed for f_final.\n");
      REAL8 dphi_fmerger=1/pWF->eta*IMRPhenomX_dPhase_22(Mf_final, &powers_of_ffinal, pPhase22, pWF)+linb-IMRPhenomX_TidalPhaseDerivative(&powers_of_ffinal, pWF, pPhase22, NRTidal_version);
      REAL8 tshift = -dphi_fmerger;
      linb+=tshift;
      // tidal phase will be subtracted from the BBH phase
      phiTfRef = -IMRPhenomX_TidalPhase(&powers_of_MfRef, pWF, pPhase22, NRTidal_version);
  }
    
 
  /* Inverse of the symmetric mass ratio */
  REAL8 inveta    = (1.0 / pWF->eta);
 
  /* Construct reference phase, see discussion in Appendix A of arXiv:2001.11412 */
  pWF->phifRef    = -(inveta * IMRPhenomX_Phase_22(pWF->MfRef, &powers_of_MfRef, pPhase22, pWF) + linb*pWF->MfRef + lina+phiTfRef) + 2.0*pWF->phi0 + LAL_PI_4;
 
  /*
      Here we declare explicit REAL8 variables for main loop in order to avoid numerous
      pointer calls.
  */
  REAL8 C1IM              = pPhase22->C1Int;
  REAL8 C2IM              = pPhase22->C2Int;
  REAL8 C1RD              = pPhase22->C1MRD;
  REAL8 C2RD              = pPhase22->C2MRD;
 
  REAL8 fPhaseIN          = pPhase22->fPhaseMatchIN;
  REAL8 fPhaseIM          = pPhase22->fPhaseMatchIM;
  REAL8 fAmpIN            = pAmp22->fAmpMatchIN;
  REAL8 fAmpIM            = pAmp22->fAmpRDMin;
 
 /* add in PNR-specific code */
 
  int PNRUseTunedAngles     = pPrec->IMRPhenomXPNRUseTunedAngles;
 
  REAL8Sequence* alphaPNR = NULL;
  REAL8Sequence* betaPNR = NULL;
  REAL8Sequence* gammaPNR = NULL;
 
  if(PNRUseTunedAngles) /* Check for PNR angles */
  {
    alphaPNR = XLALCreateREAL8Sequence(freqs->length);
    if (!alphaPNR)
    {
      XLAL_ERROR(XLAL_EFUNC, "alphaPNR array allocation failed in LALSimIMRPhenomX.c");
    }
    betaPNR = XLALCreateREAL8Sequence(freqs->length);
    if (!betaPNR)
    {
      XLAL_ERROR(XLAL_EFUNC, "betaPNR array allocation failed in LALSimIMRPhenomX.c");
    }
    gammaPNR = XLALCreateREAL8Sequence(freqs->length);
    if (!gammaPNR)
    {
      XLAL_ERROR(XLAL_EFUNC, "gammaPNR array allocation failed in LALSimIMRPhenomX.c");
    }
 
    status = IMRPhenomX_PNR_GeneratePNRAngles(
      alphaPNR, betaPNR, gammaPNR,
      freqs, pWF, pPrec,
      lalParams);
    XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomX_PNR_GeneratePNRAngles failed.\n");
 
    #if DEBUG == 1
      // Save angles into a file
      FILE *fileangle2;
      char fileSpec2[40];
      sprintf(fileSpec2, "angles_PNR.dat");
 
      printf("\nOutput angle file: %s\r\n", fileSpec2);
      fileangle2 = fopen(fileSpec2,"w");
 
      fprintf(fileangle2,"# q = %.16e m1 = %.16e m2 = %.16e chi1 = %.16e chi2 = %.16e  Mtot = %.16e distance = %.16e\n", pWF->q, pWF->m1, pWF->m2, pWF->chi1L, pWF->chi2L,  pWF->Mtot, pWF->distance/LAL_PC_SI/1e6);
      fprintf(fileangle2,"#fHz   alpha   beta    gamma\n");
 
      for (UINT4 idx = 0; idx < freqs->length; idx++)
      {
        fprintf(fileangle2, "%.16e  %.16e  %.16e  %.16e\n", freqs->data[idx], alphaPNR->data[idx], betaPNR->data[idx], gammaPNR->data[idx]);
      }
      fclose(fileangle2);
    #endif
  }
 
  #if PHENOMXPDEBUG == 1
    printf("\n\n **** Phase struct initialized. **** \n\n");
    printf("C1IM     = %.4f\n",C1IM);
    printf("C2IM     = %.4f\n",C2IM);
    printf("C1RD     = %.4f\n",C1RD);
    printf("C2RD     = %.4f\n",C2RD);
    printf("fIN      = %.4f\n",fPhaseIN);
    printf("fIM      = %.4f\n",fPhaseIM);
    printf("thetaJN  = %.4f\n",pPrec->thetaJN);
  #endif
 
  /* amplitude definition as in XAS */
 
  REAL8 Amp0          = pWF->amp0 * pWF->ampNorm;
 
 
  
  /* initial_status used to track  */
  UINT4 initial_status = XLAL_SUCCESS;
 
  /* Approximate frequency of the peak */
  REAL8 fmax         = pAmp22->fAmpRDMin;
 
  /* Initialize a struct containing useful powers of fmax */
  IMRPhenomX_UsefulPowers powers_of_fmax;
  initial_status     = IMRPhenomX_Initialize_Powers(&powers_of_fmax,fmax);
  if(initial_status != XLAL_SUCCESS)
  {
    status = initial_status;
    XLALPrintError("IMRPhenomX_Initialize_Powers failed for fmax, initial_status=%d",initial_status);
  }
 
  #if DEBUG == 1
  // Save anles into a file
  FILE *fileangle;
  char fileSpec[40];
  sprintf(fileSpec, "angles_XP.dat");
 
  printf("\nOutput angle file: %s\r\n", fileSpec);
  fileangle = fopen(fileSpec,"w");
 
  fprintf(fileangle,"# q = %.16e m1 = %.16e m2 = %.16e chi1 = %.16e chi2 = %.16e  Mtot = %.16e distance = %.16e\n", pWF->q, pWF->m1, pWF->m2, pWF->chi1L, pWF->chi2L,  pWF->Mtot, pWF->distance/LAL_PC_SI/1e6);
  fprintf(fileangle,"#fHz   cexp_i_alpha(re im)   cexp_i_epsilon(re im)    cexp_i_betah(re im)\n");
 
  fclose(fileangle);
  #endif
 
  if (NRTidal_version == NRTidal_V || NRTidal_version == NRTidalv2_V) {
    int ret = 0;
    UINT4 L_fCut = freqs->length;
    phi_tidal = XLALCreateREAL8Sequence(L_fCut);
    amp_tidal = XLALCreateREAL8Sequence(L_fCut);
    planck_taper = XLALCreateREAL8Sequence(L_fCut);
    /* Get FD tidal phase correction and amplitude factor */
    ret = XLALSimNRTunedTidesFDTidalPhaseFrequencySeries(phi_tidal, amp_tidal, planck_taper, freqs, pWF->m1_SI, pWF->m2_SI, lambda1, lambda2, NRTidal_version);
    XLAL_CHECK(XLAL_SUCCESS == ret, ret, "XLALSimNRTunedTidesFDTidalPhaseFrequencySeries Failed.");
  }
 
 
  int AntisymmetricWaveform = pPrec->IMRPhenomXAntisymmetricWaveform;
 
  /** declare all variables used in anti-symmetric waveform calculation*/
  REAL8Sequence *kappa = NULL;
  REAL8 A0 = 0.0;
  REAL8 phi_A0 = 0.0;
  REAL8 phi_B0 = 0.0;
 
  REAL8 phi_antiSym = 0.0;
  REAL8 amp_antiSym = 0.0;
  double MfT = 0.85 * pWF->fRING; /* note that fRING is already in dimensionaless units  */
 
  if(AntisymmetricWaveform) /* Check for antisymmetric waveform flag */
  {
    if (!PNRUseTunedAngles)
    {
      XLAL_ERROR(XLAL_EFUNC, "Error: Antisymmetric waveform generation not supported without PNR angles, please turn on PNR angles to produce waveform with asymmetries in the (2,2) and (2,-2) modes\n");
    }
    else
    {
      kappa = XLALCreateREAL8Sequence(freqs->length);
      if (!kappa)
      {
        XLAL_ERROR(XLAL_EFUNC, "antisymmetric waveform amplitude ratio array allocation failed in LALSimIMRPhenomX.c");
      }
      status = IMRPhenomX_PNR_GenerateAntisymmetricAmpRatio(kappa, freqs, pWF, pPrec);
      XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomX_PNRAntisymmetricAmpRatio failed.\n");
 
      status = IMRPhenomX_PNR_GenerateAntisymmetricPhaseCoefficients(
      &A0, &phi_A0, &phi_B0, MfT, lina, linb, inveta, pWF,pPrec,pPhase22);
 
    }
  }
 
  /* Now loop over frequencies to generate waveform:  h(f) = A(f) * Exp[I phi(f)] */
  #pragma omp parallel for
  for (UINT4 idx = 0; idx < freqs->length; idx++)
  {
    double Mf    = pWF->M_sec * freqs->data[idx];
    UINT4 jdx    = idx  + offset;
 
    COMPLEX16 hcoprec     = 0.0;  /* Co-precessing waveform */
    COMPLEX16 hcoprec_antiSym  = 0.0;  /* Co-precessing anti-symmetric waveform */
    COMPLEX16 hplus       = 0.0;  /* h_+ */
    COMPLEX16 hcross      = 0.0;  /* h_x */ 
 
    /* We do not want to generate the waveform at frequencies > f_max (default = 0.3 Mf) */
    if(Mf <= (pWF->f_max_prime * pWF->M_sec))
    {
    /* Initialize a struct containing useful powers of Mf */
    IMRPhenomX_UsefulPowers powers_of_Mf;
    initial_status     = IMRPhenomX_Initialize_Powers(&powers_of_Mf,Mf);
    if(initial_status != XLAL_SUCCESS)
    {
      status = initial_status;
      XLALPrintError("IMRPhenomX_Initialize_Powers failed for Mf, initial_status=%d\n",initial_status);
    }
    else
    {
      /* Generate amplitude and phase at Mf */
 
      // initialize amplitude and phase
      REAL8 amp = 0.0;
      REAL8 phi = 0.0;
 
      /* Here we explicitly call the functions which treat the non-overlapping */
      /* inspiral, intermediate and ringdown frequency regions for the non-precessing waveform. */
 
      /* Get phase */
      if(Mf < fPhaseIN)
      {
        phi = IMRPhenomX_Inspiral_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pPhase22);
      }
      else if(Mf > fPhaseIM)
      {
        phi = IMRPhenomX_Ringdown_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pWF, pPhase22) + C1RD + (C2RD * Mf);
      }
      else
      {
        phi = IMRPhenomX_Intermediate_Phase_22_AnsatzInt(Mf, &powers_of_Mf, pWF, pPhase22) + C1IM + (C2IM * Mf);
      }
      /* Scale phase by 1/eta and apply phase and time shifts */
      phi  *= inveta;
      phi  += linb*Mf + lina + pWF->phifRef;
 
      /* Get amplitude */
      if(Mf < fAmpIN)
      {
        amp = IMRPhenomX_Inspiral_Amp_22_Ansatz(Mf, &powers_of_Mf, pWF, pAmp22);
      }
      else if(Mf > fAmpIM)
      {
        amp = IMRPhenomX_Ringdown_Amp_22_Ansatz(Mf, pWF, pAmp22);
      }
      else
      {
        amp = IMRPhenomX_Intermediate_Amp_22_Ansatz(Mf, &powers_of_Mf, pWF, pAmp22);
      }
 
      /* Add NRTidal phase, if selected, code adapted from LALSimIMRPhenomP.c */
 
      if (NRTidal_version == NRTidal_V || NRTidal_version == NRTidalv2_V) {
          
          REAL8 phaseTidal = phi_tidal->data[idx];
          double ampTidal = amp_tidal->data[idx];
          double window = planck_taper->data[idx];
 
          /* Add spin-induced quadrupole moment terms to tidal phasing */
 
          /* 2PN terms */
          phaseTidal += pfaN * pPhase22->c2PN_tidal* powers_of_lalpi.m_one_third * powers_of_Mf.m_one_third;
          /* 3PN terms */
          phaseTidal += pfaN * pPhase22->c3PN_tidal* powers_of_lalpi.one_third* powers_of_Mf.one_third;
 
          /* 3.5PN terms are only in NRTidalv2 */
          if (NRTidal_version == NRTidalv2_V) {
              phaseTidal += pfaN * pPhase22->c3p5PN_tidal * powers_of_lalpi.two_thirds * powers_of_Mf.two_thirds;
          }
          
          /* Waveform in co-precessing frame with NRTidal terms included: h(f) = [A(f) + A_tidal(f)] * Exp{I [phi(f) - phi_tidal(f)]} * window(f) */
          hcoprec = pWF->amp0 * (pWF->ampNorm * powers_of_Mf.m_seven_sixths * amp + 2*sqrt(1/5.)*powers_of_lalpi.sqrt * ampTidal) * cexp(I * (phi - phaseTidal)) * window;
        }
      
      else if (NRTidal_version == NoNRT_V) {
          /* Waveform in co-precessing frame: h(f) = A(f) * Exp[I phi(f)] */
        hcoprec = Amp0 * powers_of_Mf.m_seven_sixths * amp * cexp(I * phi);
      }
      
      else {
            XLAL_PRINT_INFO("Warning: Only NRTidal, NRTidalv2, and NoNRT NRTidal_version values allowed and NRTidal is not implemented completely in IMRPhenomX*.");
            }
 
        /* Transform modes from co-precessing frame to inertial frame */
        /* Only do this if the coprecessing model is not desired */
        if(  pWF->IMRPhenomXReturnCoPrec  )
        {
          //
          hplus  =  0.5 * (hcoprec);
          hcross = -0.5 * I * (hcoprec);
 
        }
        else
        {
 
          if(PNRUseTunedAngles) /* Look for PNR flag */
          {
            pPrec->alphaPNR = alphaPNR->data[idx];
            pPrec->betaPNR = betaPNR->data[idx];
            pPrec->gammaPNR = gammaPNR->data[idx];
          }
          
  
        if(pPrec->precessing_tag==3)
           IMRPhenomXPTwistUp22_NumericalAngles(hcoprec, alpha->data[idx], cosbeta->data[idx], gamma->data[idx], pPrec, &hplus, &hcross);
       else
           IMRPhenomXPTwistUp22(Mf,hcoprec,pWF,pPrec,&hplus,&hcross);
 
          /********************************/
          /*** anti-symmetric waveform ***/
          /*******************************/
 
          if(AntisymmetricWaveform && PNRUseTunedAngles)
          {
            /* phase of anti-symmetric waveform*/
            if(Mf < MfT)
            {
              phi_antiSym = phi/2 + alphaPNR->data[idx] + A0 *Mf + phi_A0;
            }
            else
            {
              phi_antiSym = phi + phi_B0;
            }
 
            COMPLEX16 hplus_antiSym       = 0.0; 
            COMPLEX16 hcross_antiSym      = 0.0; 
            amp_antiSym = cabs(hcoprec)*kappa->data[idx];
            hcoprec_antiSym = amp_antiSym* cexp(I * phi_antiSym);
            pPrec->PolarizationSymmetry = -1;
            IMRPhenomXPTwistUp22(Mf,hcoprec_antiSym,pWF,pPrec,&hplus_antiSym, &hcross_antiSym);
            pPrec->PolarizationSymmetry = 1;
            hplus += hplus_antiSym;
            hcross += hcross_antiSym;
          }
        }
 
 
      /* Populate h_+ and h_x */
      ((*hptilde)->data->data)[jdx] = hplus;
      ((*hctilde)->data->data)[jdx] = hcross;
    }
  }
    else
    {
      /* Mf > Mf_max, so return 0 */
      ((*hptilde)->data->data)[jdx] = 0.0 + I*0.0;
      ((*hctilde)->data->data)[jdx] = 0.0 + I*0.0;
    }
  }
 
XLALDestroyREAL8Sequence(alpha);
XLALDestroyREAL8Sequence(cosbeta);
XLALDestroyREAL8Sequence(gamma);
        
            
    if(pPrec->precessing_tag==3)
    {
        LALFree(pPrec->alpha_params);
        LALFree(pPrec->beta_params);
        
        gsl_spline_free(pPrec->alpha_spline);
        gsl_spline_free(pPrec->cosbeta_spline);
        gsl_spline_free(pPrec->gamma_spline);
      
        gsl_interp_accel_free(pPrec->alpha_acc);
        gsl_interp_accel_free(pPrec->gamma_acc);
        gsl_interp_accel_free(pPrec->cosbeta_acc);
        
    }
        
 
  /*
      Loop over h+ and hx and rotate waveform by 2 \zeta.
 
      Note that we do this here rather than in LALSimInpsiral.c as
      \zeta_polarization is part of the pPrec struct.
 
  */
  COMPLEX16 PhPpolp, PhPpolc;
  REAL8 cosPolFac, sinPolFac;
 
  /* If \zeta is non-zero, we need to rotate h+ and hx */
  if(fabs(pPrec->zeta_polarization) > 0.0)
  {
    cosPolFac = cos(2.0 * pPrec->zeta_polarization);
    sinPolFac = sin(2.0 * pPrec->zeta_polarization);
 
    for (UINT4 i = 0; i < (*hptilde)->data->length; i++)
    {
        PhPpolp = (*hptilde)->data->data[i];
        PhPpolc = (*hctilde)->data->data[i];
 
        (*hptilde)->data->data[i] = (cosPolFac * PhPpolp) + (sinPolFac * PhPpolc);
        (*hctilde)->data->data[i] = (cosPolFac * PhPpolc) - (sinPolFac * PhPpolp);
    }
  }
 
  /* Free allocated memory */
  LALFree(pAmp22);
  LALFree(pPhase22);
  XLALDestroyREAL8Sequence(freqs);
  
  // Free allocated memory for tidal extension
  XLALDestroyREAL8Sequence(phi_tidal);
  XLALDestroyREAL8Sequence(amp_tidal);
  XLALDestroyREAL8Sequence(planck_taper);
 
  if(PNRUseTunedAngles){
    XLALDestroyREAL8Sequence(alphaPNR);
    XLALDestroyREAL8Sequence(betaPNR);
    XLALDestroyREAL8Sequence(gammaPNR);
  }
 
  if(AntisymmetricWaveform){
    XLALDestroyREAL8Sequence(kappa);
  }
 
  if(lalParams_In == 1)
  {
    XLALDestroyDict(lalParams);
  }
 
  return status;
}
 
 
/* ~~~~~~~~~~ Effective Ringdown Frequency ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRfRingEff(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
  /* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
    //
  REAL8 fRING22_prec = pWF->fRING22_prec - 2 * pWF->fRINGEffShiftDividedByEmm;
  // return pWF->fRING22_prec - 2 * pWF->fRINGEffShiftDividedByEmm;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  return fRING22_prec;
 
}
 
 
/* ~~~~~~~~~~ fRINGEffShiftDividedByEmm ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRfRINGEffShiftDividedByEmm(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
  REAL8 fRINGEffShiftDividedByEmm = pWF->fRINGEffShiftDividedByEmm;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  //
  return fRINGEffShiftDividedByEmm;
 
}
 
 
 
 
/* ~~~~~~~~~~ Final Beta ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRbetaRD(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
 
  UINT4 status;
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
  //
  REAL8 betaRD = pWF->betaRD;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  //
  return betaRD;
 
}
 
 
 
 
/* ~~~~~~~~~~ Final spin ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRafinal_prec(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
    //
  REAL8 afinal_prec = pWF->afinal_prec;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  //
  return afinal_prec;
 
}
 
 
 
 
/* ~~~~~~~~~~ Final spin ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRafinal_nonprec(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
  REAL8 afinal_nonprec = pWF->afinal_nonprec;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  //
  return afinal_nonprec;
 
}
 
 
 
 
 
 
 
/* ~~~~~~~~~~ Final spin ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRafinal(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
 
  //
  REAL8 afinal = pWF->afinal;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  return afinal;
 
}
 
 
 
/* ~~~~~~~~~~ Window function ~~~~~~~~~~ */
REAL8 XLALSimPhenomPNRwindow(  REAL8 m1_SI, REAL8 m2_SI, REAL8 chi1x, REAL8 chi1y, REAL8 chi1z, REAL8 chi2x, REAL8 chi2y, REAL8 chi2z, LALDict *lalParams ) {
  UINT4 status;
 
  status = XLALIMRPhenomXPCheckMassesAndSpins(&m1_SI,&m2_SI,&chi1x,&chi1y,&chi1z,&chi2x,&chi2y,&chi2z);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: XLALIMRPhenomXPCheckMassesAndSpins failed.\n");
 
  /* Perform initial sanity checks */
  if(m1_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m1 must be positive.\n");                                              }
  if(m2_SI    <= 0.0) { XLAL_ERROR(XLAL_EDOM, "m2 must be positive.\n");     }
 
  /* Use an auxiliar laldict to not overwrite the input argument */
  LALDict *lalParams_aux;
  /* setup mode array */
  if (lalParams == NULL)
  {
      lalParams_aux = XLALCreateDict();
  }
  else{
      lalParams_aux = XLALDictDuplicate(lalParams);
  }
 
/* Spins aligned with the orbital angular momenta */
  const REAL8 chi1L = chi1z;
  const REAL8 chi2L = chi2z;
 
  const REAL8 deltaF = 0.0001;
  const REAL8 f_min = 20;
  const REAL8 f_max = 1024;
  const REAL8 distance = 1.0;
  const REAL8 inclination = 0.0;
  const REAL8 fRef = f_min;
  const REAL8 phiRef = 0.0;
 
  /* Initialize useful powers of LAL_PI - this is used in the code called by IMRPhenomXPGenerateFD */
  status = IMRPhenomX_Initialize_Powers(&powers_of_lalpi, LAL_PI);
  XLAL_CHECK(XLAL_SUCCESS == status, status, "Failed to initialize useful powers of LAL_PI.\n");
 
  /* Initialize IMR PhenomX Waveform struct and check that it initialized correctly */
  IMRPhenomXWaveformStruct *pWF;
  pWF    = XLALMalloc(sizeof(IMRPhenomXWaveformStruct));
  status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, fRef, phiRef, f_min, f_max, distance, inclination, lalParams_aux, 0);
  // status = IMRPhenomXSetWaveformVariables(pWF, m1_SI, m2_SI, chi1L, chi2L, deltaF, 20.0, 20.0, 10.0, 1024.0, 3.085677581491367e24, 0, lalParams_aux, 0);
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetWaveformVariables failed.\n");
 
  /* Initialize IMR PhenomX Precession struct and check that it generated successfully */
  IMRPhenomXPrecessionStruct *pPrec;
  pPrec  = XLALMalloc(sizeof(IMRPhenomXPrecessionStruct));
 
  status = IMRPhenomXGetAndSetPrecessionVariables(
           pWF,
           pPrec,
           m1_SI,
           m2_SI,
           chi1x,
           chi1y,
           chi1z,
           chi2x,
           chi2y,
           chi2z,
           lalParams_aux,
           PHENOMXPDEBUG
         );
  XLAL_CHECK(XLAL_SUCCESS == status, XLAL_EFUNC, "Error: IMRPhenomXSetPrecessionVariables failed.\n");
 
  //
  REAL8 pnr_window = pWF->pnr_window;
 
  /* free up memory allocation */
  LALFree(pPrec);
  LALFree(pWF);
  XLALDestroyDict(lalParams_aux);
 
  return pnr_window;
 
}