Interference1DLattice.cpp

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//  ************************************************************************************************
//
//  BornAgain: simulate and fit reflection and scattering
//
//! @file      Sample/Aggregate/Interference1DLattice.cpp
//! @brief     Implements class Interference1DLattice.
//!
//! @homepage  http://www.bornagainproject.org
//! @license   GNU General Public License v3 or higher (see COPYING)
//! @copyright Forschungszentrum Jülich GmbH 2018
//! @authors   Scientific Computing Group at MLZ (see CITATION, AUTHORS)
//
//  ************************************************************************************************
 
#include "Sample/Aggregate/Interference1DLattice.h"
#include "Base/Util/Assert.h"
#include "Fit/Param/RealLimits.h"
#include "Sample/Correlations/Profiles1D.h"
#include "Sample/Correlations/Profiles2D.h"
#include <algorithm>
 
namespace {
 
// maximum value for qx*Lambdax
const int nmax = 20;
// minimum number of neighboring reciprocal lattice points to use
const int min_points = 4;
 
} // namespace
 
//! Constructor of interference function of one-dimensional lattice.
//! @param length: lattice constant in nanometers
//! @param xi: rotation of lattice with respect to x-axis in radians
Interference1DLattice::Interference1DLattice(double length, double xi)
    : IInterference(0)
    , m_length(length)
    , m_xi(xi)
    , m_na{0}
{
    RealLimits::nonnegative().check("Length", m_length);
}
 
Interference1DLattice::~Interference1DLattice() = default;
 
Interference1DLattice* Interference1DLattice::clone() const
{
    auto* result = new Interference1DLattice(m_length, m_xi);
    result->setPositionVariance(m_position_var);
    result->m_na = m_na;
    if (m_decay)
        result->setDecayFunction(*m_decay);
    return result;
}
 
//! Sets one-dimensional decay function.
//! @param decay: one-dimensional decay function in reciprocal space
void Interference1DLattice::setDecayFunction(const IProfile1D& decay)
{
    m_decay.reset(decay.clone());
    double decay_length = m_decay->decayLength();
    double qa_max = m_length * nmax / decay_length / M_TWOPI;
    m_na = static_cast<int>(std::lround(std::abs(qa_max) + 0.5));
    m_na = std::max(m_na, min_points);
}
 
std::vector<const INode*> Interference1DLattice::nodeChildren() const
{
    return std::vector<const INode*>() << m_decay;
}
 
double Interference1DLattice::iff_without_dw(const R3 q) const
{
    ASSERT(m_decay);
    double result = 0.0;
    double qxr = q.x();
    double qyr = q.y();
    double qx_frac;
    double xi = m_xi;
    double a = m_length;
    double a_rec = M_TWOPI / a;
 
    // rotate the q vector to xi angle
    // so that qx_prime is along the a axis of lattice
    double qx_prime = qxr * std::cos(xi) + qyr * std::sin(xi);
 
    // calculate reciprocal vector fraction
    int qa_int = static_cast<int>(qx_prime / a_rec);
    qx_frac = qx_prime - qa_int * a_rec;
 
    for (int i = -m_na; i < m_na + 1; ++i) {
        double qx = qx_frac + i * a_rec;
        result += m_decay->decayFT(qx);
    }
    return result / a;
}