diff options
author | Tal Hadad <tal_hd@hotmail.com> | 2016-06-12 23:40:17 +0300 |
---|---|---|
committer | Tal Hadad <tal_hd@hotmail.com> | 2016-06-12 23:40:17 +0300 |
commit | 06206482d9964835b201c682884360dd0d1e73a5 (patch) | |
tree | ef872fc19c76307183f2cf1f8b1865b35fbca08d /unsupported/Eigen/src/EulerAngles/EulerSystem.h | |
parent | e30133e439c98fa5ec981339fc3d6bc6be7f2e1b (diff) |
More docs, and minor code fixes
Diffstat (limited to 'unsupported/Eigen/src/EulerAngles/EulerSystem.h')
-rw-r--r-- | unsupported/Eigen/src/EulerAngles/EulerSystem.h | 95 |
1 files changed, 88 insertions, 7 deletions
diff --git a/unsupported/Eigen/src/EulerAngles/EulerSystem.h b/unsupported/Eigen/src/EulerAngles/EulerSystem.h index a5ef56a5e..ac73b48a0 100644 --- a/unsupported/Eigen/src/EulerAngles/EulerSystem.h +++ b/unsupported/Eigen/src/EulerAngles/EulerSystem.h @@ -38,27 +38,107 @@ namespace Eigen }; } + /** \brief Representation of a fixed signed rotation axis for EulerAngles. + * + * Values here represent: + * - The axis of the rotation: X, Y or Z. + * - The sign (i.e. direction of the rotation along the axis): possitive(+) or negative(-) + * + * Therefore, this could express all the axes {+X,+Y,+Z,-X,-Y,-Z} + * + * For positive axis, use +EULER_{axis}, and for negative axis use -EULER_{axis}. + * + * !TODO! Add examples + */ enum EulerAxis { - EULER_X = 1, - EULER_Y = 2, - EULER_Z = 3 + EULER_X = 1, /*!< the X axis */ + EULER_Y = 2, /*!< the Y axis */ + EULER_Z = 3 /*!< the Z axis */ }; - + + /** \class EulerSystem + * + * \brief Represents a fixed Euler rotation system. + * + * This meta-class goal is to represent the Euler system in compilation time, for EulerAngles. + * + * You can use this class to get two things: + * - Build an Euler system, and then pass it as a template parameter to EulerAngles. + * - Query some compile time data about an Euler system. (e.g. Whether it's tait bryan) + * + * Euler rotation is a set of three rotation on fixed axes. (see EulerAngles) + * This meta-class store constantly those signed axes. (see EulerAxis) + * + * ### Types of Euler systems ### + * + * All and only valid 3 dimension Euler rotation over standard + * signed axes{+X,+Y,+Z,-X,-Y,-Z} are supported: + * - all axes X, Y, Z in each valid order (see below what order is valid) + * - rotation over the axis is supported both over the positive and negative directions. + * - both tait bryan and classic Euler angles (i.e. the opposite). + * + * Since EulerSystem support both positive and negative directions, + * you may call this rotation distinction in other names: + * - right handed or left handed + * - counterclockwise or clockwise + * + * Notice all axed combination are valid, and would trigger an assertion !TODO!. + * Same unsigned axes can't be neighbors, e.g. {X,X,Y} is invalid. + * This yield two and only two classes: + * - tait bryan - all unsigned axes are distinct, e.g. {X,Y,Z} + * - proper/classic Euler angles - The first and the third unsigned axes is equal, + * and the second is different, e.g. {X,Y,X} + * + * !TODO! Add some example code. + * + * ### Intrinsic vs extrinsic Euler systems ### + * + * Only intrinsic Euler systems are supported for simplicity. + * If you want to use extrinsic Euler systems, + * just use the equal intrinsic opposite order for axes and angles. + * I.E axes (A,B,C) becomes (C,B,A), and angles (a,b,c) becomes (c,b,a). + * !TODO! Make it more clear and add some example code. + * + * ### Convenient user typedefs ### + * + * Convenient typedefs for EulerSystem exist (only for positive axes Euler systems), + * in a form of EulerSystem{A}{B}{C}, e.g. EulerSystemXYZd. + * !TODO! Make it more clear + * + * ### Additional reading ### + * + * More information about Euler angles: https://en.wikipedia.org/wiki/Euler_angles + * + * \tparam _AlphaAxis the first fixed EulerAxis + * + * \tparam _AlphaAxis the second fixed EulerAxis + * + * \tparam _AlphaAxis the third fixed EulerAxis + */ template <int _AlphaAxis, int _BetaAxis, int _GammaAxis> class EulerSystem { public: // It's defined this way and not as enum, because I think // that enum is not guerantee to support negative numbers + + /** The first rotation axis */ static const int AlphaAxis = _AlphaAxis; + + /** The second rotation axis */ static const int BetaAxis = _BetaAxis; + + /** The third rotation axis */ static const int GammaAxis = _GammaAxis; enum { + /** The first rotation axis unsigned */ AlphaAxisAbs = internal::Abs<AlphaAxis>::value, + /** The second rotation axis unsigned */ BetaAxisAbs = internal::Abs<BetaAxis>::value, + /** The third rotation axis unsigned */ GammaAxisAbs = internal::Abs<GammaAxis>::value, IsAlphaOpposite = (AlphaAxis < 0) ? 1 : 0, @@ -81,7 +161,7 @@ namespace Eigen enum { - // I, J, K are the pivot indexes permutation for the rotation matrix, that match this euler system. + // I, J, K are the pivot indexes permutation for the rotation matrix, that match this Euler system. // They are used in this class converters. // They are always different from each other, and their possible values are: 0, 1, or 2. I = AlphaAxisAbs - 1, @@ -150,8 +230,6 @@ namespace Eigen Scalar c1 = cos(res[0]); res[2] = atan2(c1*mat(J,K)-s1*mat(K,K), c1*mat(J,J) - s1 * mat(K,J)); } - - public: template<typename Scalar> static void CalcEulerAngles( @@ -204,6 +282,9 @@ namespace Eigen if (PositiveRangeGamma && (res.gamma() < 0)) res.gamma() += Scalar(2 * EIGEN_PI); } + + template <typename _Scalar, class _System> + friend class Eigen::EulerAngles; }; #define EIGEN_EULER_SYSTEM_TYPEDEF(A, B, C) \ |