168 lines
6.0 KiB
C++
168 lines
6.0 KiB
C++
/* ========================================================================= *
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* *
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* OpenMesh *
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* Copyright (c) 2001-2015, RWTH-Aachen University *
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* Department of Computer Graphics and Multimedia *
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* All rights reserved. *
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* www.openmesh.org *
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* *
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*---------------------------------------------------------------------------*
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* This file is part of OpenMesh. *
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*---------------------------------------------------------------------------*
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* *
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* Redistribution and use in source and binary forms, with or without *
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* modification, are permitted provided that the following conditions *
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* are met: *
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* *
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* 1. Redistributions of source code must retain the above copyright notice, *
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* this list of conditions and the following disclaimer. *
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* *
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* 2. Redistributions in binary form must reproduce the above copyright *
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* notice, this list of conditions and the following disclaimer in the *
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* documentation and/or other materials provided with the distribution. *
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* *
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* 3. Neither the name of the copyright holder nor the names of its *
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* contributors may be used to endorse or promote products derived from *
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* this software without specific prior written permission. *
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* *
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS *
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED *
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* TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A *
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* PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER *
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* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, *
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* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
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* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR *
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* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
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* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING *
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* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS *
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* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
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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 <cmath>
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#include <cfloat>
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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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