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-rw-r--r--compat/euler.cpp134
1 files changed, 27 insertions, 107 deletions
diff --git a/compat/euler.cpp b/compat/euler.cpp
index e48d977b..5d6fb25b 100644
--- a/compat/euler.cpp
+++ b/compat/euler.cpp
@@ -1,35 +1,34 @@
#include "euler.hpp"
+#include "math-imports.hpp"
#include <cmath>
namespace euler {
-euler_t OTR_COMPAT_EXPORT rmat_to_euler(const rmat& R)
+Pose_ rmat_to_euler(const rmat& R)
{
- using std::atan2;
- using std::sqrt;
-
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 euler_t(atan2(-R(1, 0), R(0, 0)),
- atan2(R(2, 0), cy),
- atan2(-R(2, 1), R(2, 2)));
+ return {
+ atan2(-R(1, 0), R(0, 0)),
+ atan2(R(2, 0), cy),
+ atan2(-R(2, 1), R(2, 2))
+ };
else
- return euler_t(atan2(R(0, 1), R(1, 1)),
- atan2(R(2, 0), cy),
- 0);
+ 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)
+rmat euler_to_rmat(const Pose_& input)
{
const double H = -input(0);
const double P = -input(1);
const double B = -input(2);
- using std::cos;
- using std::sin;
-
const auto c1 = cos(H);
const auto s1 = sin(H);
const auto c2 = cos(P);
@@ -37,99 +36,20 @@ rmat OTR_COMPAT_EXPORT euler_to_rmat(const euler_t& input)
const auto c3 = cos(B);
const auto s3 = sin(B);
- return rmat(
- // 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
- );
-}
-
-// 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)
-{
- using std::cos;
- using std::sin;
-
- {
- const double phi = -input(2);
- const double sin_phi = sin(phi);
- const double cos_phi = cos(phi);
-
- r_roll = rmat(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);
-
- r_pitch = rmat(cos_theta, 0, -sin_theta,
- 0, 1, 0,
- sin_theta, 0, cos_theta);
- }
-
- {
- const double psi = -input(0);
- const double sin_psi = sin(psi);
- const double cos_psi = cos(psi);
-
- r_yaw = rmat(cos_psi, -sin_psi, 0,
- sin_psi, cos_psi, 0,
- 0, 0, 1);
- }
-}
-
-// from http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/
-Quat matrix_to_quat(const rmat& M)
-{
- Quat q(1, 0, 0, 0);
-
- using std::sqrt;
-
- double trace = M(0, 0) + M(1, 1) + M(2, 2); // I removed + 1.0; see discussion with Ethan
- if( trace > 0 ) {// I changed M_EPSILON to 0
- double s = .5 / std::sqrt(trace + 1);
- q.w() = .25 / s;
- q.x() = ( M(2, 1) - M(1, 2) ) * s;
- q.y() = ( M(0, 2) - M(2, 0) ) * s;
- q.z() = ( M(1, 0) - M(0, 1) ) * s;
- } else {
- if ( M(0, 0) > M(1, 1) && M(0, 0) > M(2, 2) ) {
- double s = 2.0 * sqrt( 1.0 + M(0, 0) - M(1, 1) - M(2, 2));
- q.w() = (M(2, 1) - M(1, 2) ) / s;
- q.x() = .25 * s;
- q.y() = (M(0, 1) + M(1, 0) ) / s;
- q.z() = (M(0, 2) + M(2, 0) ) / s;
- } else if (M(1, 1) > M(2, 2)) {
- double s = 2.0 * sqrt( 1.0 + M(1, 1) - M(0, 0) - M(2, 2));
- q.w() = (M(0, 2) - M(2, 0) ) / s;
- q.x() = (M(0, 1) + M(1, 0) ) / s;
- q.y() = .25 * s;
- q.z() = (M(1, 2) + M(2, 1) ) / s;
- } else {
- double s = 2.0 * sqrt( 1.0 + M(2, 2) - M(0, 0) - M(1, 1) );
- q.w() = (M(1, 0) - M(0, 1) ) / s;
- q.x() = (M(0, 2) + M(2, 0) ) / s;
- q.y() = (M(1, 2) + M(2, 1) ) / s;
- q.z() = .25 * s;
- }
- }
-
- return q;
+ 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
+ };
}
} // end ns euler