Loading...
Searching...
No Matches
MathDefs.hh
/* ========================================================================= *
* *
* OpenMesh *
* Copyright (c) 2001-2025, RWTH-Aachen University *
* Department of Computer Graphics and Multimedia *
* All rights reserved. *
* www.openmesh.org *
* *
*---------------------------------------------------------------------------*
* This file is part of OpenMesh. *
*---------------------------------------------------------------------------*
* *
* Redistribution and use in source and binary forms, with or without *
* modification, are permitted provided that the following conditions *
* are met: *
* *
* 1. Redistributions of source code must retain the above copyright notice, *
* this list of conditions and the following disclaimer. *
* *
* 2. Redistributions in binary form must reproduce the above copyright *
* notice, this list of conditions and the following disclaimer in the *
* documentation and/or other materials provided with the distribution. *
* *
* 3. Neither the name of the copyright holder nor the names of its *
* contributors may be used to endorse or promote products derived from *
* this software without specific prior written permission. *
* *
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS *
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED *
* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A *
* PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER *
* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, *
* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR *
* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING *
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS *
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
* *
* ========================================================================= */
#ifndef MATHDEFS_HH
#define MATHDEFS_HH
#include <cmath>
#include <cfloat>
#ifndef M_PI
#define M_PI 3.14159265359
#endif
namespace OpenMesh
{
template <class T, typename Real>
inline bool is_zero(const T& _a, Real _eps)
{ return fabs(_a) < _eps; }
template <class T1, class T2, typename Real>
inline bool is_eq(const T1& a, const T2& b, Real _eps)
{ return is_zero(a-b, _eps); }
template <class T1, class T2, typename Real>
inline bool is_gt(const T1& a, const T2& b, Real _eps)
{ return (a > b) && !is_eq(a,b,_eps); }
template <class T1, class T2, typename Real>
inline bool is_ge(const T1& a, const T2& b, Real _eps)
{ return (a > b) || is_eq(a,b,_eps); }
template <class T1, class T2, typename Real>
inline bool is_lt(const T1& a, const T2& b, Real _eps)
{ return (a < b) && !is_eq(a,b,_eps); }
template <class T1, class T2, typename Real>
inline bool is_le(const T1& a, const T2& b, Real _eps)
{ return (a < b) || is_eq(a,b,_eps); }
/*const float flt_eps__ = 10*FLT_EPSILON;
const double dbl_eps__ = 10*DBL_EPSILON;*/
const float flt_eps__ = (float)1e-05;
const double dbl_eps__ = 1e-09;
inline float eps__(float)
{ return flt_eps__; }
inline double eps__(double)
{ return dbl_eps__; }
template <class T>
inline bool is_zero(const T& a)
{ return is_zero(a, eps__(a)); }
template <class T1, class T2>
inline bool is_eq(const T1& a, const T2& b)
{ return is_zero(a-b); }
template <class T1, class T2>
inline bool is_gt(const T1& a, const T2& b)
{ return (a > b) && !is_eq(a,b); }
template <class T1, class T2>
inline bool is_ge(const T1& a, const T2& b)
{ return (a > b) || is_eq(a,b); }
template <class T1, class T2>
inline bool is_lt(const T1& a, const T2& b)
{ return (a < b) && !is_eq(a,b); }
template <class T1, class T2>
inline bool is_le(const T1& a, const T2& b)
{ return (a < b) || is_eq(a,b); }
template <class T>
inline T sane_aarg(T _aarg)
{
if (_aarg < -1)
{
_aarg = -1;
}
else if (_aarg > 1)
{
_aarg = 1;
}
return _aarg;
}
template <class T>
T angle(T _cos_angle, T _sin_angle)
{//sanity checks - otherwise acos will return nan
_cos_angle = sane_aarg(_cos_angle);
return (T) _sin_angle >= 0 ? acos(_cos_angle) : -acos(_cos_angle);
}
template <class T>
inline T positive_angle(T _angle)
{ return _angle < 0 ? (2*M_PI + _angle) : _angle; }
template <class T>
inline T positive_angle(T _cos_angle, T _sin_angle)
{ return positive_angle(angle(_cos_angle, _sin_angle)); }
template <class T>
inline T deg_to_rad(const T& _angle)
{ return M_PI*(_angle/180); }
template <class T>
inline T rad_to_deg(const T& _angle)
{ return 180*(_angle/M_PI); }
inline double log_(double _value)
{ return log(_value); }
}//namespace OpenMesh
#endif//MATHDEFS_HH
OpenMesh
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition MeshItems.hh:59
OpenMesh::angle
T angle(T _cos_angle, T _sin_angle)
returns the angle determined by its cos and the sign of its sin result is positive if the angle is in...
Definition MathDefs.hh:140
OpenMesh::is_zero
bool is_zero(const T &_a, Real _eps)
comparison operators with user-selected precision control
Definition MathDefs.hh:61
OpenMesh::sane_aarg
T sane_aarg(T _aarg)
Trigonometry/angles - related.
Definition MathDefs.hh:122