fresnel.h

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/* +---------------------------------------------------------------------------+
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   | Copyright (c) 2005-2017, Individual contributors, see AUTHORS file        |
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#pragma once

#include <cstdlib>
#include <mrpt/utils/mrpt_macros.h>
#include <mrpt/base/link_pragmas.h>
#include <mrpt/config.h>

namespace mrpt
{
        namespace math
        {
                /** @addtogroup  fresnel_integrals_grp Fresnel integrals (`#include <mrpt/math/fresnel.h>`)
                  *  \ingroup mrpt_base_grp
                  * @{ */

                /** Evaluates the integral from 0 to x of sqrt(2/pi) sin(t^2) dt. Equivalent to MATLAB fresnels()
                  * \sa https://en.wikipedia.org/wiki/Fresnel_integral  
                  * \note Code based on http://www.mymathlib.com/functions/fresnel_sin_cos_integrals.html */
                double BASE_IMPEXP fresnel_sin_integral(double x) MRPT_NO_THROWS;

                /** Evaluates the integral from 0 to x of sqrt(2/pi) cos(t^2) dt. Equivalent to MATLAB fresnelc()
                  * \sa https://en.wikipedia.org/wiki/Fresnel_integral  
                  *\note Code based on http://www.mymathlib.com/functions/fresnel_sin_cos_integrals.html */
                double BASE_IMPEXP fresnel_cos_integral(double x) MRPT_NO_THROWS;

#ifdef HAVE_LONG_DOUBLE
                /** long double version of fresnel_sin_integral */
                long double BASE_IMPEXP lfresnel_sin_integral(long double x) MRPT_NO_THROWS;

                /** long double version of fresnel_cos_integral */
                long double BASE_IMPEXP lfresnel_cos_integral(long double x) MRPT_NO_THROWS;
#endif


                /** @} */

        } // End of MATH namespace

} // End of namespace