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diff --git a/opentrack-logic/simple-mat.cpp b/opentrack-logic/simple-mat.cpp
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+#include "simple-mat.hpp"
+#include "opentrack-compat/pi-constant.hpp"
+#include <cmath>
+
+namespace euler {
+
+euler_t rmat_to_euler(const dmat<3, 3>& 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(2, 1), R(2, 2)),
+ atan2(R(2, 0), cy),
+ atan2(-R(1, 0), R(0, 0)));
+ else
+ return euler_t(0.,
+ atan2(R(2, 0), cy),
+ atan2(R(0, 1), R(1, 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);
+
+ using std::cos;
+ using std::sin;
+
+ 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