fresnel.h

Go to the documentation of this file.

/* +------------------------------------------------------------------------+
   |                     Mobile Robot Programming Toolkit (MRPT)            |
   |                          http://www.mrpt.org/                          |
   |                                                                        |
   | Copyright (c) 2005-2018, Individual contributors, see AUTHORS file     |
   | See: http://www.mrpt.org/Authors - All rights reserved.                |
   | Released under BSD License. See details in http://www.mrpt.org/License |
   +------------------------------------------------------------------------+ */
 
#pragma once
#include <cstdlib>
 
namespace mrpt
{
namespace math
{
/** @addtogroup  fresnel_integrals_grp Fresnel integrals (`#include
 * <mrpt/math/fresnel.h>`)
  *  \ingroup mrpt_math_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 fresnel_sin_integral(double x) noexcept;
 
/** 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 fresnel_cos_integral(double x) noexcept;
 
/** long double version of fresnel_sin_integral */
long double lfresnel_sin_integral(long double x) noexcept;
 
/** long double version of fresnel_cos_integral */
long double lfresnel_cos_integral(long double x) noexcept;
 
/** @} */
 
}  // End of MATH namespace
 
}  // End of namespace