Dogcows Code - chaz/yoink/blob - src/Moof/Math.hh

   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 _MOOF_MATH_HH_
  30 #define _MOOF_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 #include <Moof/OpenGL.hh>               // GLscalar
  41
  42
  43 namespace Mf {
  44
  45
  46 typedef GLscalar                                                                Scalar;
  47
  48 typedef cml::vector< Scalar, cml::fixed<2> >    Vector2;
  49 typedef cml::vector< Scalar, cml::fixed<3> >    Vector3;
  50 typedef cml::vector< Scalar, cml::fixed<4> >    Vector4;
  51
  52 typedef cml::matrix< Scalar, cml::fixed<3,3>,
  53                 cml::col_basis, cml::col_major >                Matrix3;
  54 typedef cml::matrix< Scalar, cml::fixed<4,4>,
  55                 cml::col_basis, cml::col_major >                Matrix4;
  56
  57 typedef cml::quaternion< Scalar, cml::fixed<>, cml::vector_first,
  58                 cml::positive_cross >                                   Quaternion;
  59
  60 typedef cml::constants<Scalar>                                  Constants;
  61
  62
  63 inline Vector3& demoteVector(Vector3& left, const Vector4& right)
  64 {
  65         left[0] = right[0];
  66         left[1] = right[1];
  67         left[2] = right[2];
  68         return left;
  69 }
  70
  71 inline Vector2& demoteVector(Vector2& left, const Vector3& right)
  72 {
  73         left[0] = right[0];
  74         left[1] = right[1];
  75         return left;
  76 }
  77
  78 inline Vector4& promoteVector(Vector4& left, const Vector3& right, Scalar extra = 1.0)
  79 {
  80         left[0] = right[0];
  81         left[1] = right[1];
  82         left[2] = right[2];
  83         left[3] = extra;
  84         return left;
  85 }
  86
  87 inline Vector3& promoteVector(Vector3& left, const Vector2& right, Scalar extra = 1.0)
  88 {
  89         left[0] = right[0];
  90         left[1] = right[1];
  91         left[3] = extra;
  92         return left;
  93 }
  94
  95
  96
  97 const Scalar EPSILON = 0.000001;
  98
  99 /**
 100  * Check the equality of scalars with a certain degree of error allowed.
 101  */
 102
 103 inline bool isEqual(Scalar a, Scalar b, Scalar epsilon = EPSILON)
 104 {
 105         return std::abs(a - b) < epsilon;
 106 }
 107
 108
 109 } // namespace Mf
 110
 111 #endif // _MOOF_MATH_HH_
 112
 113 /** vim: set ts=4 sw=4 tw=80: *************************************************/
 114