97f515985d
git-svn-id: http://www.openmesh.org/svnrepo/OpenMesh/trunk@2 fdac6126-5c0c-442c-9429-916003d36597
149 lines
4.8 KiB
C++
149 lines
4.8 KiB
C++
/*===========================================================================*\
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* *
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* OpenMesh *
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* Copyright (C) 2003 by Computer Graphics Group, RWTH Aachen *
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* www.openmesh.org *
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* *
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*---------------------------------------------------------------------------*
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* *
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* License *
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* *
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* This library is free software; you can redistribute it and/or modify it *
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* under the terms of the GNU Lesser General Public License as published *
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* by the Free Software Foundation, version 2.1. *
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* *
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* This library is distributed in the hope that it will be useful, but *
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* WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
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* Lesser General Public License for more details. *
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* *
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* You should have received a copy of the GNU Lesser General Public *
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* License along with this library; if not, write to the Free Software *
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* Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. *
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* *
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\*===========================================================================*/
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#ifndef MATHDEFS_HH
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#define MATHDEFS_HH
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#include <math.h>
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#include <float.h>
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#ifndef M_PI
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#define M_PI 3.14159265359
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#endif
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namespace OpenMesh
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{
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/** comparison operators with user-selected precision control
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*/
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template <class T, typename Real>
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inline bool is_zero(const T& _a, Real _eps)
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{ return fabs(_a) < _eps; }
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template <class T1, class T2, typename Real>
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inline bool is_eq(const T1& a, const T2& b, Real _eps)
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{ return is_zero(a-b, _eps); }
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template <class T1, class T2, typename Real>
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inline bool is_gt(const T1& a, const T2& b, Real _eps)
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{ return (a > b) && !is_eq(a,b,_eps); }
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template <class T1, class T2, typename Real>
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inline bool is_ge(const T1& a, const T2& b, Real _eps)
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{ return (a > b) || is_eq(a,b,_eps); }
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template <class T1, class T2, typename Real>
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inline bool is_lt(const T1& a, const T2& b, Real _eps)
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{ return (a < b) && !is_eq(a,b,_eps); }
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template <class T1, class T2, typename Real>
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inline bool is_le(const T1& a, const T2& b, Real _eps)
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{ return (a < b) || is_eq(a,b,_eps); }
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/*const float flt_eps__ = 10*FLT_EPSILON;
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const double dbl_eps__ = 10*DBL_EPSILON;*/
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const float flt_eps__ = (float)1e-05;
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const double dbl_eps__ = 1e-09;
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inline float eps__(float)
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{ return flt_eps__; }
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inline double eps__(double)
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{ return dbl_eps__; }
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template <class T>
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inline bool is_zero(const T& a)
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{ return is_zero(a, eps__(a)); }
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template <class T1, class T2>
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inline bool is_eq(const T1& a, const T2& b)
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{ return is_zero(a-b); }
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template <class T1, class T2>
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inline bool is_gt(const T1& a, const T2& b)
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{ return (a > b) && !is_eq(a,b); }
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template <class T1, class T2>
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inline bool is_ge(const T1& a, const T2& b)
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{ return (a > b) || is_eq(a,b); }
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template <class T1, class T2>
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inline bool is_lt(const T1& a, const T2& b)
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{ return (a < b) && !is_eq(a,b); }
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template <class T1, class T2>
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inline bool is_le(const T1& a, const T2& b)
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{ return (a < b) || is_eq(a,b); }
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/// Trigonometry/angles - related
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template <class T>
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inline T sane_aarg(T _aarg)
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{
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if (_aarg < -1)
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{
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_aarg = -1;
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}
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else if (_aarg > 1)
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{
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_aarg = 1;
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}
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return _aarg;
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}
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/** returns the angle determined by its cos and the sign of its sin
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result is positive if the angle is in [0:pi]
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and negative if it is in [pi:2pi]
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*/
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template <class T>
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T angle(T _cos_angle, T _sin_angle)
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{//sanity checks - otherwise acos will return nan
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_cos_angle = sane_aarg(_cos_angle);
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return (T) _sin_angle >= 0 ? acos(_cos_angle) : -acos(_cos_angle);
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}
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template <class T>
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inline T positive_angle(T _angle)
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{ return _angle < 0 ? (2*M_PI + _angle) : _angle; }
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template <class T>
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inline T positive_angle(T _cos_angle, T _sin_angle)
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{ return positive_angle(angle(_cos_angle, _sin_angle)); }
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template <class T>
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inline T deg_to_rad(const T& _angle)
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{ return M_PI*(_angle/180); }
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template <class T>
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inline T rad_to_deg(const T& _angle)
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{ return 180*(_angle/M_PI); }
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inline double log_(double _value)
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{ return log(_value); }
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};//namespace OpenMesh
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#endif//MATHDEFS_HH
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