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// ************************************************************************************************
//
// BornAgain: simulate and fit reflection and scattering
//
//! @file Base/Math/Numeric.h
//! @brief Defines constants and "almost equal" in namespace Numeric.
//!
//! @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)
//
// ************************************************************************************************
#ifndef BORNAGAIN_BASE_MATH_NUMERIC_H
#define BORNAGAIN_BASE_MATH_NUMERIC_H
#include <heinz/Complex.h>
#include <heinz/Vectors3D.h>
void check_scalar(double a, double b, int ulp);
#ifndef SWIG
//! Floating-point approximations.
namespace Numeric {
//! Returns the safe relative difference, which is 2(|a-b|)/(|a|+|b|) except in special cases.
double relativeDifference(double a, double b);
//! Returns true if two doubles agree within machine epsilon times ulp (units in the last place).
bool almostEqual(double a, double b, int ulp);
bool almostEqual(complex_t a, complex_t b, int ulp);
bool almostEqual(const R3& a, const R3& b, int ulp);
double ignoreDenormalized(double value);
double round_decimal(double val, double digits);
int orderOfMagnitude(double x);
} // namespace Numeric
#endif // SWIG
#endif // BORNAGAIN_BASE_MATH_NUMERIC_H
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