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#include "utils.hpp"
matrix::Dcmf taitBryan312ToRotMat(const matrix::Vector3f &rot312)
{
// Calculate the frame2 to frame 1 rotation matrix from a 312 Tait-Bryan rotation sequence
const float c2 = cosf(rot312(2)); // third rotation is pitch
const float s2 = sinf(rot312(2));
const float s1 = sinf(rot312(1)); // second rotation is roll
const float c1 = cosf(rot312(1));
const float s0 = sinf(rot312(0)); // first rotation is yaw
const float c0 = cosf(rot312(0));
matrix::Dcmf R;
R(0, 0) = c0 * c2 - s0 * s1 * s2;
R(1, 1) = c0 * c1;
R(2, 2) = c2 * c1;
R(0, 1) = -c1 * s0;
R(0, 2) = s2 * c0 + c2 * s1 * s0;
R(1, 0) = c2 * s0 + s2 * s1 * c0;
R(1, 2) = s0 * s2 - s1 * c0 * c2;
R(2, 0) = -s2 * c1;
R(2, 1) = s1;
return R;
}
float kahanSummation(float sum_previous, float input, float &accumulator)
{
const float y = input - accumulator;
const float t = sum_previous + y;
accumulator = (t - sum_previous) - y;
return t;
}
matrix::Dcmf quatToInverseRotMat(const matrix::Quatf &quat)
{
const float q00 = quat(0) * quat(0);
const float q11 = quat(1) * quat(1);
const float q22 = quat(2) * quat(2);
const float q33 = quat(3) * quat(3);
const float q01 = quat(0) * quat(1);
const float q02 = quat(0) * quat(2);
const float q03 = quat(0) * quat(3);
const float q12 = quat(1) * quat(2);
const float q13 = quat(1) * quat(3);
const float q23 = quat(2) * quat(3);
matrix::Dcmf dcm;
dcm(0, 0) = q00 + q11 - q22 - q33;
dcm(1, 1) = q00 - q11 + q22 - q33;
dcm(2, 2) = q00 - q11 - q22 + q33;
dcm(1, 0) = 2.0f * (q12 - q03);
dcm(2, 0) = 2.0f * (q13 + q02);
dcm(0, 1) = 2.0f * (q12 + q03);
dcm(2, 1) = 2.0f * (q23 - q01);
dcm(0, 2) = 2.0f * (q13 - q02);
dcm(1, 2) = 2.0f * (q23 + q01);
return dcm;
}