wrap2pi.h

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/* +------------------------------------------------------------------------+
   |                     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 |
   +------------------------------------------------------------------------+ */
#ifndef MRPT_MATH_WRAP2PI_H
#define MRPT_MATH_WRAP2PI_H
 
#include <cmath>
#include <cstddef>  // size_t
 
namespace mrpt
{
namespace math
{
/** \addtogroup container_ops_grp
  * @{ */
 
/** Modifies the given angle to translate it into the [0,2pi[ range.
  * \note Take care of not instancing this template for integer numbers, since
 * it only works for float, double and long double.
  * \sa wrapToPi, wrapTo2Pi, unwrap2PiSequence
  */
template <class T>
inline void wrapTo2PiInPlace(T& a)
{
        bool was_neg = a < 0;
        a = fmod(a, static_cast<T>(2.0 * M_PI));
        if (was_neg) a += static_cast<T>(2.0 * M_PI);
}
 
/** Modifies the given angle to translate it into the [0,2pi[ range.
  * \note Take care of not instancing this template for integer numbers, since
 * it only works for float, double and long double.
  * \sa wrapToPi, wrapTo2Pi, unwrap2PiSequence
  */
template <class T>
inline T wrapTo2Pi(T a)
{
        wrapTo2PiInPlace(a);
        return a;
}
 
/** Modifies the given angle to translate it into the ]-pi,pi] range.
  * \note Take care of not instancing this template for integer numbers, since
 * it only works for float, double and long double.
  * \sa wrapTo2Pi, wrapToPiInPlace, unwrap2PiSequence
  */
template <class T>
inline T wrapToPi(T a)
{
        return wrapTo2Pi(a + static_cast<T>(M_PI)) - static_cast<T>(M_PI);
}
 
/** Modifies the given angle to translate it into the ]-pi,pi] range.
  * \note Take care of not instancing this template for integer numbers, since
 * it only works for float, double and long double.
  * \sa wrapToPi,wrapTo2Pi, unwrap2PiSequence
  */
template <class T>
inline void wrapToPiInPlace(T& a)
{
        a = wrapToPi(a);
}
 
/** Modify a sequence of angle values such as no consecutive values have a jump
 * larger than PI in absolute value.
  * \sa wrapToPi
  */
template <class VECTOR>
void unwrap2PiSequence(VECTOR& x)
{
        const size_t N = x.size();
        for (size_t i = 0; i < N; i++)
        {
                mrpt::math::wrapToPiInPlace(x[i]);  // assure it's in the -pi,pi range.
                if (!i) continue;
                double Ap = x[i] - x[i - 1];
                if (Ap > M_PI) x[i] -= 2. * M_PI;
                if (Ap < -M_PI) x[i] += 2. * M_PI;
        }
}
 
/** Computes the shortest angular increment (or distance) between two planar
 * orientations,
  * such that it is constrained to [-pi,pi] and is correct for any combination
 * of angles (e.g. near +-pi)
  * Examples: angDistance(0,pi) -> +pi; angDistance(pi,0) -> -pi;
  *           angDistance(-3.1,3.1) -> -0.08; angDistance(3.1,-3.1) -> +0.08;
  * \note Take care of not instancing this template for integer numbers, since
 * it only works for float, double and long double.
  * \sa wrapToPi, wrapTo2Pi
  */
template <class T>
inline T angDistance(T from, T to)
{
        wrapToPiInPlace(from);
        wrapToPiInPlace(to);
        T d = to - from;
        if (d > M_PI)
                d -= 2. * M_PI;
        else if (d < -M_PI)
                d += 2. * M_PI;
        return d;
}
 
/** @} */
 
}  // End of MATH namespace
}  // End of namespace
 
#endif