/* ---------------------------------
Jacobi
---------------------------------- */
void jacobi( Matrix *m, int num_of_file ) {
Matrix *eigen_values = m
, *eigen_vectors = generateIdentityMatrix( m->height )
;
Coordinate position;
Trigonometry angle;
int count = 0
, not_change = 0
;
double previous = 0;
while(1) {
position = locateMaxValue( eigen_values );
if ( position.value < THRESHOLD )
break;
if ( position.value == previous )
not_change++;
else
not_change = 0;
if ( not_change == 100 )
break;
previous = position.value;
// printf("%d回目 : %lf\n", count++, position.value );
angle = calcAngle( eigen_values, position );
rotate( eigen_values, position, angle );
append( eigen_vectors, position, angle );
repair( eigen_values );
}
printEigen( eigen_values, eigen_vectors, num_of_file );
}
int test_eigen(int argc, char *argv[])
{
int rc = 0;
warnx("testing eigen");
{
Eigen::Vector2f v;
Eigen::Vector2f v1(1.0f, 2.0f);
Eigen::Vector2f v2(1.0f, -1.0f);
float data[2] = {1.0f, 2.0f};
TEST_OP("Constructor Vector2f()", Eigen::Vector2f v3);
TEST_OP_VERIFY("Constructor Vector2f(Vector2f)", Eigen::Vector2f v3(v1), v3.isApprox(v1));
TEST_OP_VERIFY("Constructor Vector2f(float[])", Eigen::Vector2f v3(data), v3[0] == data[0] && v3[1] == data[1]);
TEST_OP_VERIFY("Constructor Vector2f(float, float)", Eigen::Vector2f v3(1.0f, 2.0f), v3(0) == 1.0f && v3(1) == 2.0f);
TEST_OP_VERIFY("Vector2f = Vector2f", v = v1, v.isApprox(v1));
VERIFY_OP("Vector2f + Vector2f", v = v + v1, v.isApprox(v1 + v1));
VERIFY_OP("Vector2f - Vector2f", v = v - v1, v.isApprox(v1));
VERIFY_OP("Vector2f += Vector2f", v += v1, v.isApprox(v1 + v1));
VERIFY_OP("Vector2f -= Vector2f", v -= v1, v.isApprox(v1));
TEST_OP_VERIFY("Vector2f dot Vector2f", v.dot(v1), fabs(v.dot(v1) - 5.0f) <= FLT_EPSILON);
//TEST_OP("Vector2f cross Vector2f", v1.cross(v2)); //cross product for 2d array?
}
{
Eigen::Vector3f v;
Eigen::Vector3f v1(1.0f, 2.0f, 0.0f);
Eigen::Vector3f v2(1.0f, -1.0f, 2.0f);
float data[3] = {1.0f, 2.0f, 3.0f};
TEST_OP("Constructor Vector3f()", Eigen::Vector3f v3);
TEST_OP("Constructor Vector3f(Vector3f)", Eigen::Vector3f v3(v1));
TEST_OP("Constructor Vector3f(float[])", Eigen::Vector3f v3(data));
TEST_OP("Constructor Vector3f(float, float, float)", Eigen::Vector3f v3(1.0f, 2.0f, 3.0f));
TEST_OP("Vector3f = Vector3f", v = v1);
TEST_OP("Vector3f + Vector3f", v + v1);
TEST_OP("Vector3f - Vector3f", v - v1);
TEST_OP("Vector3f += Vector3f", v += v1);
TEST_OP("Vector3f -= Vector3f", v -= v1);
TEST_OP("Vector3f * float", v1 * 2.0f);
TEST_OP("Vector3f / float", v1 / 2.0f);
TEST_OP("Vector3f *= float", v1 *= 2.0f);
TEST_OP("Vector3f /= float", v1 /= 2.0f);
TEST_OP("Vector3f dot Vector3f", v.dot(v1));
TEST_OP("Vector3f cross Vector3f", v1.cross(v2));
TEST_OP("Vector3f length", v1.norm());
TEST_OP("Vector3f length squared", v1.squaredNorm());
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-variable"
// Need pragma here intead of moving variable out of TEST_OP and just reference because
// TEST_OP measures performance of vector operations.
TEST_OP("Vector<3> element read", volatile float a = v1(0));
TEST_OP("Vector<3> element read direct", volatile float a = v1.data()[0]);
#pragma GCC diagnostic pop
TEST_OP("Vector<3> element write", v1(0) = 1.0f);
TEST_OP("Vector<3> element write direct", v1.data()[0] = 1.0f);
}
{
Eigen::Vector4f v(0.0f, 0.0f, 0.0f, 0.0f);
Eigen::Vector4f v1(1.0f, 2.0f, 0.0f, -1.0f);
Eigen::Vector4f v2(1.0f, -1.0f, 2.0f, 0.0f);
Eigen::Vector4f vres;
float data[4] = {1.0f, 2.0f, 3.0f, 4.0f};
TEST_OP("Constructor Vector<4>()", Eigen::Vector4f v3);
TEST_OP("Constructor Vector<4>(Vector<4>)", Eigen::Vector4f v3(v1));
TEST_OP("Constructor Vector<4>(float[])", Eigen::Vector4f v3(data));
TEST_OP("Constructor Vector<4>(float, float, float, float)", Eigen::Vector4f v3(1.0f, 2.0f, 3.0f, 4.0f));
TEST_OP("Vector<4> = Vector<4>", v = v1);
TEST_OP("Vector<4> + Vector<4>", v + v1);
TEST_OP("Vector<4> - Vector<4>", v - v1);
TEST_OP("Vector<4> += Vector<4>", v += v1);
TEST_OP("Vector<4> -= Vector<4>", v -= v1);
TEST_OP("Vector<4> dot Vector<4>", v.dot(v1));
}
{
Eigen::Vector10f v1;
v1.Zero();
float data[10];
TEST_OP("Constructor Vector<10>()", Eigen::Vector10f v3);
TEST_OP("Constructor Vector<10>(Vector<10>)", Eigen::Vector10f v3(v1));
TEST_OP("Constructor Vector<10>(float[])", Eigen::Vector10f v3(data));
}
{
Eigen::Matrix3f m1;
m1.setIdentity();
Eigen::Matrix3f m2;
m2.setIdentity();
Eigen::Vector3f v1(1.0f, 2.0f, 0.0f);
TEST_OP("Matrix3f * Vector3f", m1 * v1);
TEST_OP("Matrix3f + Matrix3f", m1 + m2);
TEST_OP("Matrix3f * Matrix3f", m1 * m2);
}
{
Eigen::Matrix<float, 10, 10> m1;
m1.setIdentity();
Eigen::Matrix<float, 10, 10> m2;
m2.setIdentity();
Eigen::Vector10f v1;
v1.Zero();
TEST_OP("Matrix<10, 10> * Vector<10>", m1 * v1);
TEST_OP("Matrix<10, 10> + Matrix<10, 10>", m1 + m2);
TEST_OP("Matrix<10, 10> * Matrix<10, 10>", m1 * m2);
}
{
warnx("Nonsymmetric matrix operations test");
// test nonsymmetric +, -, +=, -=
const Eigen::Matrix<float, 2, 3> m1_orig =
(Eigen::Matrix<float, 2, 3>() << 1, 2, 3,
4, 5, 6).finished();
Eigen::Matrix<float, 2, 3> m1(m1_orig);
Eigen::Matrix<float, 2, 3> m2;
m2 << 2, 4, 6,
8, 10, 12;
Eigen::Matrix<float, 2, 3> m3;
m3 << 3, 6, 9,
12, 15, 18;
if (m1 + m2 != m3) {
warnx("Matrix<2, 3> + Matrix<2, 3> failed!");
printEigen(m1 + m2);
printf("!=\n");
printEigen(m3);
rc = 1;
}
if (m3 - m2 != m1) {
warnx("Matrix<2, 3> - Matrix<2, 3> failed!");
printEigen(m3 - m2);
printf("!=\n");
printEigen(m1);
rc = 1;
}
m1 += m2;
if (m1 != m3) {
warnx("Matrix<2, 3> += Matrix<2, 3> failed!");
printEigen(m1);
printf("!=\n");
printEigen(m3);
rc = 1;
}
m1 -= m2;
if (m1 != m1_orig) {
warnx("Matrix<2, 3> -= Matrix<2, 3> failed!");
printEigen(m1);
printf("!=\n");
printEigen(m1_orig);
rc = 1;
}
}
/* QUATERNION TESTS CURRENTLY FAILING
{
// test conversion rotation matrix to quaternion and back
Eigen::Matrix3f R_orig;
Eigen::Matrix3f R;
Eigen::Quaternionf q;
float diff = 0.1f;
float tol = 0.00001f;
warnx("Quaternion transformation methods test.");
for (float roll = -M_PI_F; roll <= M_PI_F; roll += diff) {
for (float pitch = -M_PI_2_F; pitch <= M_PI_2_F; pitch += diff) {
for (float yaw = -M_PI_F; yaw <= M_PI_F; yaw += diff) {
R_orig.eulerAngles(roll, pitch, yaw);
q = R_orig; //from_dcm
R = q.toRotationMatrix();
for (size_t i = 0; i < 3; i++) {
for (size_t j = 0; j < 3; j++) {
if (fabsf(R_orig(i, j) - R(i, j)) > tol) {
warnx("Quaternion method 'from_dcm' or 'toRotationMatrix' outside tolerance!");
rc = 1;
}
}
}
}
}
}
// test against some known values
tol = 0.0001f;
Eigen::Quaternionf q_true = {1.0f, 0.0f, 0.0f, 0.0f};
R_orig.setIdentity();
q = R_orig;
for (size_t i = 0; i < 4; i++) {
if (!q.isApprox(q_true, tol)) {
warnx("Quaternion method 'from_dcm()' outside tolerance!");
rc = 1;
}
}
q_true = quatFromEuler(0.3f, 0.2f, 0.1f);
q = {0.9833f, 0.1436f, 0.1060f, 0.0343f};
for (size_t i = 0; i < 4; i++) {
if (!q.isApprox(q_true, tol)) {
warnx("Quaternion method 'eulerAngles()' outside tolerance!");
rc = 1;
}
}
q_true = quatFromEuler(-1.5f, -0.2f, 0.5f);
q = {0.7222f, -0.6391f, -0.2386f, 0.1142f};
for (size_t i = 0; i < 4; i++) {
if (!q.isApprox(q_true, tol)) {
warnx("Quaternion method 'eulerAngles()' outside tolerance!");
rc = 1;
}
}
q_true = quatFromEuler(M_PI_2_F, -M_PI_2_F, -M_PI_F / 3);
q = {0.6830f, 0.1830f, -0.6830f, 0.1830f};
for (size_t i = 0; i < 4; i++) {
if (!q.isApprox(q_true, tol)) {
warnx("Quaternion method 'eulerAngles()' outside tolerance!");
rc = 1;
}
}
}
{
// test quaternion method "rotate" (rotate vector by quaternion)
Eigen::Vector3f vector = {1.0f, 1.0f, 1.0f};
Eigen::Vector3f vector_q;
Eigen::Vector3f vector_r;
Eigen::Quaternionf q;
Eigen::Matrix3f R;
float diff = 0.1f;
float tol = 0.00001f;
warnx("Quaternion vector rotation method test.");
for (float roll = -M_PI_F; roll <= M_PI_F; roll += diff) {
for (float pitch = -M_PI_2_F; pitch <= M_PI_2_F; pitch += diff) {
for (float yaw = -M_PI_F; yaw <= M_PI_F; yaw += diff) {
R.eulerAngles(roll, pitch, yaw);
q = quatFromEuler(roll, pitch, yaw);
vector_r = R * vector;
vector_q = q._transformVector(vector);
for (int i = 0; i < 3; i++) {
if (fabsf(vector_r(i) - vector_q(i)) > tol) {
warnx("Quaternion method 'rotate' outside tolerance");
rc = 1;
}
}
}
}
}
// test some values calculated with matlab
tol = 0.0001f;
q = quatFromEuler(M_PI_2_F, 0.0f, 0.0f);
vector_q = q._transformVector(vector);
Eigen::Vector3f vector_true = {1.00f, -1.00f, 1.00f};
for (size_t i = 0; i < 3; i++) {
if (fabsf(vector_true(i) - vector_q(i)) > tol) {
warnx("Quaternion method 'rotate' outside tolerance");
rc = 1;
}
}
q = quatFromEuler(0.3f, 0.2f, 0.1f);
vector_q = q._transformVector(vector);
vector_true = {1.1566, 0.7792, 1.0273};
for (size_t i = 0; i < 3; i++) {
if (fabsf(vector_true(i) - vector_q(i)) > tol) {
warnx("Quaternion method 'rotate' outside tolerance");
rc = 1;
}
}
q = quatFromEuler(-1.5f, -0.2f, 0.5f);
vector_q = q._transformVector(vector);
vector_true = {0.5095, 1.4956, -0.7096};
for (size_t i = 0; i < 3; i++) {
if (fabsf(vector_true(i) - vector_q(i)) > tol) {
warnx("Quaternion method 'rotate' outside tolerance");
rc = 1;
}
}
q = quatFromEuler(M_PI_2_F, -M_PI_2_F, -M_PI_F / 3.0f);
vector_q = q._transformVector(vector);
vector_true = { -1.3660, 0.3660, 1.0000};
for (size_t i = 0; i < 3; i++) {
if (fabsf(vector_true(i) - vector_q(i)) > tol) {
warnx("Quaternion method 'rotate' outside tolerance");
rc = 1;
}
}
}
*/
return rc;
}