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MathDefs.hh
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40 * ========================================================================= */
41
42
43 /*===========================================================================*\
44 * *
45 * $Revision$ *
46 * $Date$ *
47 * *
48 \*===========================================================================*/
49
50 #ifndef MATHDEFS_HH
51 #define MATHDEFS_HH
52
53 #include <cmath>
54 #include <cfloat>
55
56 #ifndef M_PI
57 #define M_PI 3.14159265359
58 #endif
59
60 namespace OpenMesh
61 {
62
65 template <class T, typename Real>
66 inline bool is_zero(const T& _a, Real _eps)
67 { return fabs(_a) < _eps; }
68
69 template <class T1, class T2, typename Real>
70 inline bool is_eq(const T1& a, const T2& b, Real _eps)
71 { return is_zero(a-b, _eps); }
72
73 template <class T1, class T2, typename Real>
74 inline bool is_gt(const T1& a, const T2& b, Real _eps)
75 { return (a > b) && !is_eq(a,b,_eps); }
76
77 template <class T1, class T2, typename Real>
78 inline bool is_ge(const T1& a, const T2& b, Real _eps)
79 { return (a > b) || is_eq(a,b,_eps); }
80
81 template <class T1, class T2, typename Real>
82 inline bool is_lt(const T1& a, const T2& b, Real _eps)
83 { return (a < b) && !is_eq(a,b,_eps); }
84
85 template <class T1, class T2, typename Real>
86 inline bool is_le(const T1& a, const T2& b, Real _eps)
87 { return (a < b) || is_eq(a,b,_eps); }
88
89 /*const float flt_eps__ = 10*FLT_EPSILON;
90 const double dbl_eps__ = 10*DBL_EPSILON;*/
91 const float flt_eps__ = (float)1e-05;
92 const double dbl_eps__ = 1e-09;
93
94 inline float eps__(float)
95 { return flt_eps__; }
96
97 inline double eps__(double)
98 { return dbl_eps__; }
99
100 template <class T>
101 inline bool is_zero(const T& a)
102 { return is_zero(a, eps__(a)); }
103
104 template <class T1, class T2>
105 inline bool is_eq(const T1& a, const T2& b)
106 { return is_zero(a-b); }
107
108 template <class T1, class T2>
109 inline bool is_gt(const T1& a, const T2& b)
110 { return (a > b) && !is_eq(a,b); }
111
112 template <class T1, class T2>
113 inline bool is_ge(const T1& a, const T2& b)
114 { return (a > b) || is_eq(a,b); }
115
116 template <class T1, class T2>
117 inline bool is_lt(const T1& a, const T2& b)
118 { return (a < b) && !is_eq(a,b); }
119
120 template <class T1, class T2>
121 inline bool is_le(const T1& a, const T2& b)
122 { return (a < b) || is_eq(a,b); }
123
125
126 template <class T>
127 inline T sane_aarg(T _aarg)
128 {
129 if (_aarg < -1)
130 {
131 _aarg = -1;
132 }
133 else if (_aarg > 1)
134 {
135 _aarg = 1;
136 }
137 return _aarg;
138 }
139
144 template <class T>
145 T angle(T _cos_angle, T _sin_angle)
146 {//sanity checks - otherwise acos will return nan
147 _cos_angle = sane_aarg(_cos_angle);
148 return (T) _sin_angle >= 0 ? acos(_cos_angle) : -acos(_cos_angle);
149 }
150
151 template <class T>
152 inline T positive_angle(T _angle)
153 { return _angle < 0 ? (2*M_PI + _angle) : _angle; }
154
155 template <class T>
156 inline T positive_angle(T _cos_angle, T _sin_angle)
157 { return positive_angle(angle(_cos_angle, _sin_angle)); }
158
159 template <class T>
160 inline T deg_to_rad(const T& _angle)
161 { return M_PI*(_angle/180); }
162
163 template <class T>
164 inline T rad_to_deg(const T& _angle)
165 { return 180*(_angle/M_PI); }
166
167 inline double log_(double _value)
168 { return log(_value); }
169
170 }//namespace OpenMesh
171
172 #endif//MATHDEFS_HH
OpenMesh::sane_aarg
T sane_aarg(T _aarg)
Trigonometry/angles - related.
Definition: MathDefs.hh:127
OpenMesh
Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...
Definition: MeshItems.hh:64
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:145
OpenMesh::is_zero
bool is_zero(const T &_a, Real _eps)
comparison operators with user-selected precision control
Definition: MathDefs.hh:66