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1
2 /*******************************************************************************
3
4 Copyright (c) 2009, Charles McGarvey
5 All rights reserved.
6
7 Redistribution and use in source and binary forms, with or without
8 modification, are permitted provided that the following conditions are met:
9
10 * Redistributions of source code must retain the above copyright notice,
11 this list of conditions and the following disclaimer.
12 * Redistributions in binary form must reproduce the above copyright notice,
13 this list of conditions and the following disclaimer in the documentation
14 and/or other materials provided with the distribution.
15
16 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
17 AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18 IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
19 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
20 FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21 DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
22 SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
23 CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
24 OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
25 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26
27 *******************************************************************************/
28
29 #ifndef _MATH_HH_
30 #define _MATH_HH_
31
32 /**
33 * @file math.hh
34 * General math-related types and functions.
35 */
36
37 #include <cmath>
38 #include <cml/cml.h>
39
40
41 namespace dc {
42
43
44 typedef double scalar; ///< Scalar variable.
45
46 typedef cml::vector2d vector2;
47 typedef cml::vector3d vector3;
48 typedef cml::vector4d vector4;
49
50 typedef cml::matrix33d_c matrix3;
51 typedef cml::matrix44d_c matrix4;
52
53 typedef cml::quaterniond_p quaternion;
54
55 typedef cml::vector4f color;
56
57
58 // Here's a simple way to check the equality of floating-point variables more
59 // reliably using approximation.
60
61 const scalar default_epsilon = 0.00001; ///< @see equals()
62
63
64 /**
65 * Check the equality of scalars with a certain degree of error allowed.
66 */
67
68 inline bool equals(scalar a, scalar b, scalar epsilon = default_epsilon)
69 {
70 return std::abs(a - b) < epsilon;
71 }
72
73
74 } // namespace dc
75
76 #endif // _MATH_HH_
77
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