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#include "simple-mat.hpp"
#include "opentrack-compat/pi-constant.hpp"
namespace euler {
static constexpr double pi = OPENTRACK_PI;
euler_t rmat_to_euler(const dmat<3, 3>& R)
{
const double pitch_1 = asin(-R(0, 2));
const double pitch_2 = pi - pitch_1;
const double cos_p1 = cos(pitch_1), cos_p2 = cos(pitch_2);
const double roll_1 = atan2(R(1, 2) / cos_p1, R(2, 2) / cos_p1);
const double roll_2 = atan2(R(1, 2) / cos_p2, R(2, 2) / cos_p2);
const double yaw_1 = atan2(R(0, 1) / cos_p1, R(0, 0) / cos_p1);
const double yaw_2 = atan2(R(0, 1) / cos_p2, R(0, 0) / cos_p2);
using std::fabs;
const double err1 = fabs(pitch_1) + fabs(roll_1) + fabs(yaw_1);
const double err2 = fabs(pitch_2) + fabs(roll_2) + fabs(yaw_2);
if (err1 > err2)
{
bool fix_neg_pitch = pitch_1 < 0;
return euler_t(yaw_2, fix_neg_pitch ? -pi - pitch_1 : pitch_2, roll_2);
}
else
return euler_t(yaw_1, pitch_1, roll_1);
}
// tait-bryan angles, not euler
rmat euler_to_rmat(const euler_t input)
{
const double H = input(0);
const double P = input(1);
const double B = input(2);
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);
return dmat<3, 3>(
// 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
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