Experimented with using Eigen in Cayley implementations - ~4x speedup in Rot3M localCoordinates

release/4.3a0
Alex Cunningham 2012-01-06 16:45:07 +00:00
parent dae02c387f
commit 610faa8439
5 changed files with 177 additions and 147 deletions

281
.cproject
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@ -378,14 +378,6 @@
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@ -466,6 +460,7 @@
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@ -473,6 +468,7 @@
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@ -495,11 +492,20 @@
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@ -526,7 +532,6 @@
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@ -598,7 +603,6 @@
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@ -606,7 +610,6 @@
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@ -614,7 +617,6 @@
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@ -622,7 +624,6 @@
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@ -630,7 +631,6 @@
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@ -700,22 +700,6 @@
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@ -732,6 +716,22 @@
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@ -756,7 +756,15 @@
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@ -804,15 +820,7 @@
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@ -820,14 +828,6 @@
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@ -1150,6 +1150,7 @@
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@ -1443,10 +1444,10 @@
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@ -1581,7 +1582,6 @@
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@ -1621,7 +1621,6 @@
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@ -1629,7 +1628,6 @@
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@ -2090,94 +2127,6 @@
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@ -686,10 +686,15 @@ Matrix expm(const Matrix& A, size_t K) {
/* ************************************************************************* */
Matrix Cayley(const Matrix& A) {
size_t n = A.cols();
int n = A.cols();
assert(A.rows() == n);
const Matrix I = eye(n);
return (I-A)*inverse(I+A);
// original
// const Matrix I = eye(n);
// return (I-A)*inverse(I+A);
// inlined to let Eigen do more optimization
return (Matrix::Identity(n, n) - A)*(Matrix::Identity(n, n) + A).inverse();
}
/* ************************************************************************* */

View File

@ -442,6 +442,14 @@ Matrix expm(const Matrix& A, size_t K=7);
/// Cayley transform
Matrix Cayley(const Matrix& A);
/// Implementation of Cayley transform using fixed size matrices to let
/// Eigen do more optimization
template<int N>
Matrix Cayley(const Eigen::Matrix<double, N, N>& A) {
typedef Eigen::Matrix<double, N, N> FMat;
return Matrix((FMat::Identity() - A)*(FMat::Identity() + A).inverse());
}
} // namespace gtsam
#include <boost/serialization/nvp.hpp>

View File

@ -263,7 +263,18 @@ Vector Rot3::localCoordinates(const Rot3& T) const {
#ifdef CORRECT_ROT3_EXMAP
return Logmap(between(T));
#else
Matrix Omega = Cayley(between(T).matrix());
// original
// Matrix Omega = Cayley(between(T).matrix());
// Create a fixed-size matrix
Eigen::Matrix3d A(between(T).matrix());
// using templated version of Cayley
Matrix Omega = Cayley<3>(A);
// completely inlined Cayley from template
// Eigen::Matrix3d Omega = (Eigen::Matrix3d::Identity() - A)*(Eigen::Matrix3d::Identity() + A).inverse();
return -2*Vector_(3,Omega(2,1),Omega(0,2),Omega(1,0));
#endif
}

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@ -47,7 +47,7 @@ int main()
cout << seconds << " seconds" << endl;
cout << ((double)n/seconds) << " calls/second" << endl;
cout << "Exmpap" << endl;
cout << "Expmap" << endl;
timeLog = clock();
for(int i = 0; i < n; i++)
R*Rot3::Expmap(v);
@ -65,6 +65,15 @@ int main()
cout << seconds << " seconds" << endl;
cout << ((double)n/seconds) << " calls/second" << endl;
cout << "localCoordinates" << endl;
timeLog = clock();
for(int i = 0; i < n; i++)
R.localCoordinates(R);
timeLog2 = clock();
seconds = (double)(timeLog2-timeLog)/CLOCKS_PER_SEC;
cout << seconds << " seconds" << endl;
cout << ((double)n/seconds) << " calls/second" << endl;
cout << "Slow rotation matrix" << endl;
timeLog = clock();
for(int i = 0; i < n; i++)