Binary Trace compiles, runs
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				|  | @ -75,6 +75,12 @@ public: | |||
|     add(H, jacobians); | ||||
|   } | ||||
| 
 | ||||
|   /// Construct from value and two disjoint JacobianMaps
 | ||||
|   Augmented(const T& t, const JacobianMap& jacobians1, const JacobianMap& jacobians2) : | ||||
|       value_(t), jacobians_(jacobians1) { | ||||
|     jacobians_.insert(jacobians2.begin(), jacobians2.end()); | ||||
|   } | ||||
| 
 | ||||
|   /// Construct value, pre-multiply jacobians by H
 | ||||
|   Augmented(const T& t, const Matrix& H1, const JacobianMap& jacobians1, | ||||
|       const Matrix& H2, const JacobianMap& jacobians2) : | ||||
|  | @ -107,84 +113,6 @@ public: | |||
|   } | ||||
| }; | ||||
| 
 | ||||
| //-----------------------------------------------------------------------------
 | ||||
| /**
 | ||||
|  * Execution trace for reverse AD | ||||
|  */ | ||||
| template<class T> | ||||
| class JacobianTrace { | ||||
| 
 | ||||
| public: | ||||
| 
 | ||||
|   /// Constructor
 | ||||
|   JacobianTrace() { | ||||
|   } | ||||
| 
 | ||||
|   virtual ~JacobianTrace() { | ||||
|   } | ||||
| 
 | ||||
|   /// Return value
 | ||||
|   const T& value() const = 0; | ||||
| 
 | ||||
|   /// Return value and derivatives
 | ||||
|   virtual Augmented<T> augmented() const = 0; | ||||
| }; | ||||
| 
 | ||||
| template<class T> | ||||
| class JacobianTraceConstant : public JacobianTrace<T> { | ||||
| 
 | ||||
| protected: | ||||
| 
 | ||||
|   T constant_; | ||||
| 
 | ||||
| public: | ||||
| 
 | ||||
|   /// Constructor
 | ||||
|   JacobianTraceConstant(const T& constant) : | ||||
|     constant_(constant) { | ||||
|   } | ||||
| 
 | ||||
|   virtual ~JacobianTraceConstant() { | ||||
|   } | ||||
| 
 | ||||
|   /// Return value
 | ||||
|   const T& value() const { | ||||
|     return constant_; | ||||
|   } | ||||
| 
 | ||||
|   /// Return value and derivatives
 | ||||
|   virtual Augmented<T> augmented() const { | ||||
|     return Augmented<T>(constant_); | ||||
|   } | ||||
| }; | ||||
| 
 | ||||
| template<class T> | ||||
| class JacobianTraceLeaf : public JacobianTrace<T> { | ||||
| 
 | ||||
| protected: | ||||
| 
 | ||||
|   T value_; | ||||
| 
 | ||||
| public: | ||||
| 
 | ||||
|   /// Constructor
 | ||||
|   JacobianTraceLeaf(const T& value) : | ||||
|       value_(value) { | ||||
|   } | ||||
| 
 | ||||
|   virtual ~JacobianTraceLeaf() { | ||||
|   } | ||||
| 
 | ||||
|   /// Return value
 | ||||
|   const T& value() const { | ||||
|     return value_; | ||||
|   } | ||||
| 
 | ||||
|   /// Return value and derivatives
 | ||||
|   virtual Augmented<T> augmented() const { | ||||
|     return Augmented<T>(value_); | ||||
|   } | ||||
| }; | ||||
| //-----------------------------------------------------------------------------
 | ||||
| /**
 | ||||
|  * Expression node. The superclass for objects that do the heavy lifting | ||||
|  | @ -202,6 +130,13 @@ protected: | |||
| 
 | ||||
| public: | ||||
| 
 | ||||
|   struct Trace { | ||||
|     T value() const { | ||||
|       return T(); | ||||
|     } | ||||
|     virtual Augmented<T> augmented(const Matrix& H) const = 0; | ||||
|   }; | ||||
| 
 | ||||
|   /// Destructor
 | ||||
|   virtual ~ExpressionNode() { | ||||
|   } | ||||
|  | @ -216,8 +151,8 @@ public: | |||
|   virtual Augmented<T> forward(const Values& values) const = 0; | ||||
| 
 | ||||
|   /// Construct an execution trace for reverse AD
 | ||||
|   virtual JacobianTrace<T> reverse(const Values& values) const { | ||||
|     return JacobianTrace<T>(T()); | ||||
|   virtual boost::shared_ptr<Trace> reverse(const Values& values) const { | ||||
|     return boost::shared_ptr<Trace>(); | ||||
|   } | ||||
| }; | ||||
| 
 | ||||
|  | @ -259,8 +194,9 @@ public: | |||
|   } | ||||
| 
 | ||||
|   /// Construct an execution trace for reverse AD
 | ||||
|   virtual JacobianTrace<T> reverse(const Values& values) const { | ||||
|     return JacobianTrace<T>(constant_); | ||||
|   virtual boost::shared_ptr<typename ExpressionNode<T>::Trace> reverse( | ||||
|       const Values& values) const { | ||||
|     return boost::shared_ptr<typename ExpressionNode<T>::Trace>(); | ||||
|   } | ||||
| }; | ||||
| 
 | ||||
|  | @ -413,7 +349,37 @@ public: | |||
|     return Augmented<T>(t, H1, argument1.jacobians(), H2, argument2.jacobians()); | ||||
|   } | ||||
| 
 | ||||
| }; | ||||
|   /// Trace structure for reverse AD
 | ||||
|   typedef typename ExpressionNode<T>::Trace BaseTrace; | ||||
|   struct Trace: public BaseTrace { | ||||
|     boost::shared_ptr<typename ExpressionNode<A1>::Trace> trace1; | ||||
|     boost::shared_ptr<typename ExpressionNode<A2>::Trace> trace2; | ||||
|     Matrix H1, H2; | ||||
|     T t; | ||||
|     /// Return value and derivatives
 | ||||
|     virtual Augmented<T> augmented(const Matrix& H) const { | ||||
|       // This is a top-down calculation
 | ||||
|       // The end-result needs Jacobians to all leaf nodes.
 | ||||
|       // Since this is not a leaf node, we compute what is needed for leaf nodes here
 | ||||
|       // The binary node represents a fork in the tree, and hence we will get two Augmented maps
 | ||||
|       Augmented<A1> augmented1 = trace1->augmented(H*H1); | ||||
|       Augmented<A1> augmented2 = trace1->augmented(H*H2); | ||||
|       return Augmented<T>(t, augmented1.jacobians(), augmented2.jacobians()); | ||||
|     } | ||||
|   }; | ||||
| 
 | ||||
|   /// Construct an execution trace for reverse AD
 | ||||
|   virtual boost::shared_ptr<BaseTrace> reverse(const Values& values) const { | ||||
|     boost::shared_ptr<Trace> trace = boost::make_shared<Trace>(); | ||||
|     trace->trace1 = this->expressionA1_->reverse(values); | ||||
|     trace->trace2 = this->expressionA2_->reverse(values); | ||||
|     trace->t = function_(trace->trace1->value(), trace->trace2->value(), | ||||
|         trace->H1, trace->H2); | ||||
|     return trace; | ||||
|   } | ||||
| 
 | ||||
| } | ||||
| ; | ||||
| //-----------------------------------------------------------------------------
 | ||||
| 
 | ||||
| } | ||||
|  |  | |||
|  | @ -103,8 +103,9 @@ public: | |||
| 
 | ||||
|   /// Return value and derivatives
 | ||||
|   Augmented<T> augmented(const Values& values) const { | ||||
|     JacobianTrace<T> trace = root_->reverse(values); | ||||
|     return trace.augmented(); | ||||
|     boost::shared_ptr<typename ExpressionNode<T>::Trace> trace = root_->reverse(values); | ||||
|     size_t n = T::Dim(); | ||||
|     return trace->augmented(Eigen::MatrixXd::Identity(n, n)); | ||||
| //    return root_->forward(values);
 | ||||
|   } | ||||
| 
 | ||||
|  |  | |||
|  | @ -22,6 +22,7 @@ | |||
| #include <gtsam/geometry/Cal3_S2.h> | ||||
| #include <gtsam_unstable/nonlinear/Expression.h> | ||||
| #include <gtsam/base/Testable.h> | ||||
| #include <gtsam/base/LieScalar.h> | ||||
| 
 | ||||
| #include <CppUnitLite/TestHarness.h> | ||||
| 
 | ||||
|  | @ -64,17 +65,17 @@ TEST(Expression, leaf) { | |||
| 
 | ||||
| /* ************************************************************************* */ | ||||
| 
 | ||||
| TEST(Expression, nullaryMethod) { | ||||
|   Expression<Point3> p(67); | ||||
|   Expression<double> norm(p, &Point3::norm); | ||||
|   Values values; | ||||
|   values.insert(67,Point3(3,4,5)); | ||||
|   Augmented<double> a = norm.augmented(values); | ||||
|   EXPECT(a.value() == sqrt(50)); | ||||
|   JacobianMap expected; | ||||
|   expected[67] = (Matrix(1,3) << 3/sqrt(50),4/sqrt(50),5/sqrt(50)); | ||||
|   EXPECT(assert_equal(expected.at(67),a.jacobians().at(67))); | ||||
| } | ||||
| //TEST(Expression, nullaryMethod) {
 | ||||
| //  Expression<Point3> p(67);
 | ||||
| //  Expression<LieScalar> norm(p, &Point3::norm);
 | ||||
| //  Values values;
 | ||||
| //  values.insert(67,Point3(3,4,5));
 | ||||
| //  Augmented<LieScalar> a = norm.augmented(values);
 | ||||
| //  EXPECT(a.value() == sqrt(50));
 | ||||
| //  JacobianMap expected;
 | ||||
| //  expected[67] = (Matrix(1,3) << 3/sqrt(50),4/sqrt(50),5/sqrt(50));
 | ||||
| //  EXPECT(assert_equal(expected.at(67),a.jacobians().at(67)));
 | ||||
| //}
 | ||||
| 
 | ||||
| /* ************************************************************************* */ | ||||
| 
 | ||||
|  |  | |||
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