Merged in feature/BAD_VerticalBlockMatrix (pull request #29)
Straight copy into VerticalBlockMatrixrelease/4.3a0
commit
a1c6c3cbe5
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@ -23,6 +23,7 @@
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#include <gtsam/base/Matrix.h>
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#include <gtsam/base/Testable.h>
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#include <gtsam/base/Manifold.h>
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#include <gtsam/base/VerticalBlockMatrix.h>
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#include <boost/foreach.hpp>
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#include <boost/tuple/tuple.hpp>
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@ -49,8 +50,25 @@ namespace gtsam {
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template<typename T>
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class Expression;
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typedef std::pair<Key, Eigen::Block<Matrix> > JacobianPair;
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typedef std::vector<JacobianPair> JacobianMap;
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/**
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* Expressions are designed to write their derivatives into an already allocated
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* Jacobian of the correct size, of type VerticalBlockMatrix.
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* The JacobianMap provides a mapping from keys to the underlying blocks.
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*/
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class JacobianMap {
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const FastVector<Key>& keys_;
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VerticalBlockMatrix& Ab_;
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public:
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JacobianMap(const FastVector<Key>& keys, VerticalBlockMatrix& Ab) :
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keys_(keys), Ab_(Ab) {
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}
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/// Access via key
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VerticalBlockMatrix::Block operator()(Key key) {
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FastVector<Key>::const_iterator it = std::find(keys_.begin(),keys_.end(),key);
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DenseIndex block = it - keys_.begin();
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return Ab_(block);
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}
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};
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//-----------------------------------------------------------------------------
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/**
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@ -80,20 +98,14 @@ struct CallRecord {
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template<int ROWS, int COLS>
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void handleLeafCase(const Eigen::Matrix<double, ROWS, COLS>& dTdA,
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JacobianMap& jacobians, Key key) {
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JacobianMap::iterator it = std::find_if(jacobians.begin(), jacobians.end(),
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boost::bind(&JacobianPair::first, _1) == key);
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assert(it!=jacobians.end());
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it->second.block < ROWS, COLS > (0, 0) += dTdA; // block makes HUGE difference
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jacobians(key).block < ROWS, COLS > (0, 0) += dTdA; // block makes HUGE difference
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}
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/// Handle Leaf Case for Dynamic Matrix type (slower)
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template<>
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void handleLeafCase(
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const Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic>& dTdA,
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JacobianMap& jacobians, Key key) {
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JacobianMap::iterator it = std::find_if(jacobians.begin(), jacobians.end(),
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boost::bind(&JacobianPair::first, _1) == key);
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assert(it!=jacobians.end());
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it->second += dTdA;
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jacobians(key) += dTdA;
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}
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//-----------------------------------------------------------------------------
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@ -123,7 +123,7 @@ public:
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}
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/// Return value and derivatives, reverse AD version
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T reverse(const Values& values, JacobianMap& jacobians) const {
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T value(const Values& values, JacobianMap& jacobians) const {
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// The following piece of code is absolutely crucial for performance.
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// We allocate a block of memory on the stack, which can be done at runtime
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// with modern C++ compilers. The traceExecution then fills this memory
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@ -142,11 +142,6 @@ public:
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return root_->value(values);
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}
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/// Return value and derivatives
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T value(const Values& values, JacobianMap& jacobians) const {
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return reverse(values, jacobians);
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}
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const boost::shared_ptr<ExpressionNode<T> >& root() const {
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return root_;
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}
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@ -75,7 +75,7 @@ public:
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}
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/**
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* Error function *without* the NoiseModel, \f$ z-h(x) \f$.
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* Error function *without* the NoiseModel, \f$ h(x)-z \f$.
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* We override this method to provide
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* both the function evaluation and its derivative(s) in H.
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*/
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@ -85,18 +85,19 @@ public:
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// H should be pre-allocated
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assert(H->size()==size());
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// Create and zero out blocks to be passed to expression_
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JacobianMap blocks;
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blocks.reserve(size());
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for (DenseIndex i = 0; i < size(); i++) {
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Matrix& Hi = H->at(i);
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Hi.resize(Dim, dimensions_[i]);
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Hi.setZero(); // zero out
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Eigen::Block<Matrix> block = Hi.block(0, 0, Dim, dimensions_[i]);
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blocks.push_back(std::make_pair(keys_[i], block));
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}
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VerticalBlockMatrix Ab(dimensions_, Dim);
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// Wrap keys and VerticalBlockMatrix into structure passed to expression_
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JacobianMap map(keys_, Ab);
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Ab.matrix().setZero();
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// Evaluate error to get Jacobians and RHS vector b
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T value = expression_.value(x, map); // <<< Reverse AD happens here !
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// Copy blocks into the vector of jacobians passed in
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for (DenseIndex i = 0; i < size(); i++)
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H->at(i) = Ab(i);
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T value = expression_.value(x, blocks);
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return measurement_.localCoordinates(value);
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} else {
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const T& value = expression_.value(x);
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@ -108,8 +109,8 @@ public:
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// This method has been heavily optimized for maximum performance.
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// We allocate a VerticalBlockMatrix on the stack first, and then create
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// Eigen::Block<Matrix> views on this piece of memory which is then passed
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// to [expression_.value] below, which writes directly into Ab_.
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// a JacobianMap view onto it, which is then passed
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// to [expression_.value] to allow it to write directly into Ab_.
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// Another malloc saved by creating a Matrix on the stack
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double memory[Dim * augmentedCols_];
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@ -120,14 +121,11 @@ public:
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// Construct block matrix, is of right size but un-initialized
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VerticalBlockMatrix Ab(dimensions_, matrix, true);
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// Create blocks into Ab_ to be passed to expression_
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JacobianMap blocks;
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blocks.reserve(size());
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for (DenseIndex i = 0; i < size(); i++)
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blocks.push_back(std::make_pair(keys_[i], Ab(i)));
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// Wrap keys and VerticalBlockMatrix into structure passed to expression_
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JacobianMap map(keys_, Ab);
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// Evaluate error to get Jacobians and RHS vector b
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T value = expression_.value(x, blocks); // <<< Reverse AD happens here !
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T value = expression_.value(x, map); // <<< Reverse AD happens here !
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Ab(size()).col(0) = -measurement_.localCoordinates(value);
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// Whiten the corresponding system now
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@ -46,11 +46,8 @@ static const Rot3 someR = Rot3::RzRyRx(1, 2, 3);
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TEST(Expression, constant) {
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Expression<Rot3> R(someR);
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Values values;
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JacobianMap actualMap;
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Rot3 actual = R.value(values, actualMap);
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Rot3 actual = R.value(values);
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EXPECT(assert_equal(someR, actual));
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JacobianMap expected;
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EXPECT(actualMap == expected);
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EXPECT_LONGS_EQUAL(0, R.traceSize())
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}
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@ -61,15 +58,8 @@ TEST(Expression, Leaf) {
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Values values;
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values.insert(100, someR);
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JacobianMap expected;
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Matrix H = eye(3);
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expected.push_back(make_pair(100, H.block(0, 0, 3, 3)));
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JacobianMap actualMap2;
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actualMap2.push_back(make_pair(100, H.block(0, 0, 3, 3)));
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Rot3 actual2 = R.reverse(values, actualMap2);
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Rot3 actual2 = R.value(values);
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EXPECT(assert_equal(someR, actual2));
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EXPECT(actualMap2 == expected);
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}
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/* ************************************************************************* */
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