IDistribution1DSampler.cpp

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//  ************************************************************************************************
//
//  BornAgain: simulate and fit reflection and scattering
//
//! @file      Sample/Correlations/IDistribution1DSampler.cpp
//! @brief     Defines interface class IProfile1D, and children thereof
//!
//! @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/Correlations/IDistribution1DSampler.h"
#include <random>
 
IDistribution1DSampler::~IDistribution1DSampler() = default;
 
double Distribution1DCauchySampler::randomSample() const
{
    // BornAgain Cauchy Distribution = std library Exponential distribution
    std::random_device rd;  // random device class instance
    std::mt19937 gen(rd()); // Standard mersenne_twister_engine seeded with rd()
    std::exponential_distribution<double> expDist(m_lambda);
    double value = expDist(gen);
 
    std::bernoulli_distribution bernoulliDist(0.5);
    bool sign = bernoulliDist(gen);
 
    return sign ? value : -value;
}
 
double Distribution1DGaussSampler::randomSample() const
{
    // BornAgain Gauss Distribution = std library Normal distribution
    std::random_device rd;
    std::mt19937 gen(rd());
    std::normal_distribution<double> normalDist(m_mean, m_stddev);
 
    return normalDist(gen);
}
 
double Distribution1DGateSampler::randomSample() const
{
    // BornAgain Gate Distribution = std library Uniform distribution
    std::random_device rd;
    std::mt19937 gen(rd());
    std::uniform_real_distribution<double> uniformDist(m_a, m_b);
 
    return uniformDist(gen);
}
 
double Distribution1DTriangleSampler::randomSample() const
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    // generate a cdf value between 0 and 1
    std::uniform_real_distribution<> uniformDist(0.0, 1.0);
    double cdf_value = uniformDist(gen);
 
    // solve for x by inverting the cdf of Triangle Distribution
    if (cdf_value <= 0.5)
        return (-m_omega + m_omega * std::sqrt(2 * cdf_value));
    return (m_omega - m_omega * std::sqrt(2 * (1 - cdf_value)));
}
 
double Distribution1DCosineSampler::randomSample() const
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    // generate a cdf value between 0 and 1
    std::uniform_real_distribution<> uniformDist(0.0, 1.0);
    double cdf_value = uniformDist(gen);
 
    // solve for x from the cdf of Cosine Distribution using Newton-Raphson method
    double func = 0.0, funcDeriv = 0.0, x = 0.0;
 
    // initial guess for x
    if (cdf_value <= 0.5)
        x = -m_omega / 2;
    else
        x = m_omega / 2;
 
    bool convergedSoln = false;
    while (!convergedSoln) {
        func = x + m_omega / M_PI * std::sin(M_PI * x / m_omega) + m_omega * (1 - 2 * cdf_value);
        funcDeriv = 1 + std::cos(M_PI * x / m_omega);
 
        x = x - func / funcDeriv;
 
        if (std::abs(func / funcDeriv) < 0.001)
            convergedSoln = true;
    }
 
    return x;
}