diff options
Diffstat (limited to 'compat/euler.cpp')
-rw-r--r-- | compat/euler.cpp | 118 |
1 files changed, 22 insertions, 96 deletions
diff --git a/compat/euler.cpp b/compat/euler.cpp index 7c753214..39d2b116 100644 --- a/compat/euler.cpp +++ b/compat/euler.cpp @@ -2,113 +2,39 @@ #include "math-imports.hpp" #include <cmath> +// rotation order is XYZ + namespace euler { euler_t OTR_COMPAT_EXPORT rmat_to_euler(const rmat& R) { - const double cy = sqrt(R(2,2)*R(2, 2) + R(2, 1)*R(2, 1)); - const bool large_enough = cy > 1e-10; - if (large_enough) - return { - atan2(-R(1, 0), R(0, 0)), - atan2(R(2, 0), cy), - atan2(-R(2, 1), R(2, 2)) - }; - else - return { - atan2(R(0, 1), R(1, 1)), - atan2(R(2, 0), cy), - 0 - }; -} - -// tait-bryan angles, not euler -rmat OTR_COMPAT_EXPORT euler_to_rmat(const euler_t& input) -{ - const double H = -input(0); - const double P = -input(1); - const double B = -input(2); + double alpha, beta, gamma; - const auto c1 = cos(H); - const auto s1 = sin(H); - const auto c2 = cos(P); - const auto s2 = sin(P); - const auto c3 = cos(B); - const auto s3 = sin(B); + beta = atan2( -R(2,0), sqrt(R(2,1)*R(2,1) + R(2,2)*R(2,2)) ); + alpha = atan2( R(1,0), R(0,0)); + gamma = atan2( R(2,1), R(2,2)); - return { - // z - c1*c2, - c1*s2*s3 - c3*s1, - s1*s3 + c1*c3*s2, - // y - c2*s1, - c1*c3 + s1*s2*s3, - c3*s1*s2 - c1*s3, - // x - -s2, - c2*s3, - c2*c3 - }; + return { alpha, -beta, gamma }; } -// https://en.wikipedia.org/wiki/Davenport_chained_rotations#Tait.E2.80.93Bryan_chained_rotations -void OTR_COMPAT_EXPORT tait_bryan_to_matrices(const euler_t& input, - rmat& r_roll, - rmat& r_pitch, - rmat& r_yaw) +rmat OTR_COMPAT_EXPORT euler_to_rmat(const euler_t& e) { - { - const double phi = -input(2); - const double sin_phi = sin(phi); - const double cos_phi = cos(phi); - - r_roll = { - 1, 0, 0, - 0, cos_phi, -sin_phi, - 0, sin_phi, cos_phi - }; - } - - { - const double theta = input(1); - const double sin_theta = sin(theta); - const double cos_theta = cos(theta); + const double X = e(2); + const double Y = -e(1); + const double Z = e(0); - r_pitch = { - cos_theta, 0, -sin_theta, - 0, 1, 0, - sin_theta, 0, cos_theta - }; - } + const double cx = cos(X); + const double sx = sin(X); + const double cy = cos(Y); + const double sy = sin(Y); + const double cz = cos(Z); + const double sz = sin(Z); - { - const double psi = -input(0); - const double sin_psi = sin(psi); - const double cos_psi = cos(psi); - - r_yaw = { - cos_psi, -sin_psi, 0, - sin_psi, cos_psi, 0, - 0, 0, 1 - }; - } -} - -template<int H, int W, typename f = double> -rmat quaternion_to_mat_(const Mat<f, H, W>& q) -{ - const double w = q.w(), x = q.x(), y = q.y(), z = q.z(); - const double ww = w*w, xx = x*x, yy = y*y, zz = z*z; - - return rmat( - ww + xx - yy - zz, 2 * (x*y - w*z), 2 * (x*z + w*y), - 2 * (x*z - w*y), 2 * (y*z + w*x), ww - xx - yy + zz, - 2 * (x*y + w*z), ww - xx + yy - zz, 2 * (y*z - w*x) - ); + return { + cy*cz, -cy*sz, sy, + cz*sx*sy + cx*sz, cx*cz - sx*sy*sz, -cy*sx, + -cx*cz*sy + sx*sz, cz*sx + cx*sy*sz, cx*cy, + }; } -rmat OTR_COMPAT_EXPORT quaternion_to_mat(const dmat<1, 4>& q) { return quaternion_to_mat_(q); } -//rmat OTR_COMPAT_EXPORT quaternion_to_mat(const dmat<4, 1>& q) { return quaternion_to_mat_(q); } - } // end ns euler |