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// ************************************************************************************************
//
// BornAgain: simulate and fit reflection and scattering
//
//! @file Base/Math/Functions.h
//! @brief Defines namespace Math.
//!
//! @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)
//
// ************************************************************************************************
#ifdef SWIG
#error no need to expose this header to Swig
#endif // SWIG
#ifndef BORNAGAIN_BASE_MATH_FUNCTIONS_H
#define BORNAGAIN_BASE_MATH_FUNCTIONS_H
#include <heinz/Complex.h>
#include <vector>
//! Various mathematical functions.
namespace Math {
// ************************************************************************************************
// Various functions
// ************************************************************************************************
double StandardNormal(double x);
double Gaussian(double x, double average, double std_dev);
double IntegratedGaussian(double x, double average, double std_dev);
double Heaviside(double x);
//! cotangent function: \f$cot(x)\equiv1/tan(x)\f$
double cot(double x);
//! sinc function: \f$sinc(x)\equiv\sin(x)/x\f$
double sinc(double x);
//! Complex sinc function: \f$sinc(x)\equiv\sin(x)/x\f$
complex_t sinc(complex_t z);
//! Complex tanhc function: \f$tanhc(x)\equiv\tanh(x)/x\f$
complex_t tanhc(complex_t z);
//! Real Laue function: \f$Laue(x,N)\equiv\sin(Nx)/sin(x)\f$
double Laue(double x, size_t N);
//! Error function of real-valued argument
double erf(double arg);
// ************************************************************************************************
// Random number generators
// ************************************************************************************************
// double GenerateStandardNormalRandom();
// double GenerateNormalRandom(double average, double std_dev);
double GeneratePoissonRandom(double average);
int GenerateNextSeed(unsigned seed);
} // namespace Math
#endif // BORNAGAIN_BASE_MATH_FUNCTIONS_H
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