gtsam/gtsam/inference/tests/testBayesTreeObsolete.cpp

564 lines
21 KiB
C++

/* ----------------------------------------------------------------------------
* GTSAM Copyright 2010, Georgia Tech Research Corporation,
* Atlanta, Georgia 30332-0415
* All Rights Reserved
* Authors: Frank Dellaert, et al. (see THANKS for the full author list)
* See LICENSE for the license information
* -------------------------------------------------------------------------- */
/**
* @file testBayesTree.cpp
* @brief Unit tests for Bayes Tree
* @author Frank Dellaert
* @author Michael Kaess
* @author Viorela Ila
*/
#include <boost/assign/std/list.hpp> // for operator +=
#include <boost/assign/std/vector.hpp>
#include <boost/assign/std/set.hpp>
#include <boost/assign/list_of.hpp>
using namespace boost::assign;
#include <CppUnitLite/TestHarness.h>
#include <gtsam/base/TestableAssertions.h>
#include <gtsam/inference/SymbolicFactorGraphOrdered.h>
#include <gtsam/inference/BayesTreeOrdered.h>
#include <gtsam/inference/IndexFactorOrdered.h>
#include <gtsam/inference/SymbolicSequentialSolverOrdered.h>
using namespace std;
using namespace gtsam;
///* ************************************************************************* */
//// SLAM example from RSS sqrtSAM paper
static const Index _x3_=0, _x2_=1;
//static const Index _x1_=2, _l2_=3, _l1_=4; // unused
//IndexConditionalOrdered::shared_ptr
// x3(new IndexConditionalOrdered(_x3_)),
// x2(new IndexConditionalOrdered(_x2_,_x3_)),
// x1(new IndexConditionalOrdered(_x1_,_x2_,_x3_)),
// l1(new IndexConditionalOrdered(_l1_,_x1_,_x2_)),
// l2(new IndexConditionalOrdered(_l2_,_x1_,_x3_));
//
//// Bayes Tree for sqrtSAM example
//SymbolicBayesTreeOrdered createSlamSymbolicBayesTree(){
// // Create using insert
//// Ordering slamOrdering; slamOrdering += _x3_, _x2_, _x1_, _l2_, _l1_;
// SymbolicBayesTreeOrdered bayesTree_slam;
// bayesTree_slam.insert(x3);
// bayesTree_slam.insert(x2);
// bayesTree_slam.insert(x1);
// bayesTree_slam.insert(l2);
// bayesTree_slam.insert(l1);
// return bayesTree_slam;
//}
/* ************************************************************************* */
// Conditionals for ASIA example from the tutorial with A and D evidence
static const Index _X_=0, _T_=1, _S_=2, _E_=3, _L_=4, _B_=5;
static IndexConditionalOrdered::shared_ptr
B(new IndexConditionalOrdered(_B_)),
L(new IndexConditionalOrdered(_L_, _B_)),
E(new IndexConditionalOrdered(_E_, _L_, _B_)),
S(new IndexConditionalOrdered(_S_, _L_, _B_)),
T(new IndexConditionalOrdered(_T_, _E_, _L_)),
X(new IndexConditionalOrdered(_X_, _E_));
// Cliques
static IndexConditionalOrdered::shared_ptr
ELB(IndexConditionalOrdered::FromKeys(cref_list_of<3>(_E_)(_L_)(_B_), 3));
// Bayes Tree for Asia example
static SymbolicBayesTreeOrdered createAsiaSymbolicBayesTree() {
SymbolicBayesTreeOrdered bayesTree;
// Ordering asiaOrdering; asiaOrdering += _X_, _T_, _S_, _E_, _L_, _B_;
SymbolicBayesTreeOrdered::insert(bayesTree, B);
SymbolicBayesTreeOrdered::insert(bayesTree, L);
SymbolicBayesTreeOrdered::insert(bayesTree, E);
SymbolicBayesTreeOrdered::insert(bayesTree, S);
SymbolicBayesTreeOrdered::insert(bayesTree, T);
SymbolicBayesTreeOrdered::insert(bayesTree, X);
return bayesTree;
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, constructor )
{
// Create using insert
SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
bayesTree.print("bayesTree (ordered): ");
// Check Size
LONGS_EQUAL(4,bayesTree.size());
EXPECT(!bayesTree.empty());
// Check root
boost::shared_ptr<IndexConditionalOrdered> actual_root = bayesTree.root()->conditional();
CHECK(assert_equal(*ELB,*actual_root));
// Create from symbolic Bayes chain in which we want to discover cliques
BayesNetOrdered<IndexConditionalOrdered> ASIA;
ASIA.push_back(X);
ASIA.push_back(T);
ASIA.push_back(S);
ASIA.push_back(E);
ASIA.push_back(L);
ASIA.push_back(B);
SymbolicBayesTreeOrdered bayesTree2(ASIA);
// Check whether the same
CHECK(assert_equal(bayesTree,bayesTree2));
// CHECK findParentClique, should *not depend on order of parents*
// Ordering ordering; ordering += _X_, _T_, _S_, _E_, _L_, _B_;
// IndexTable<Symbol> index(ordering);
list<Index> parents1; parents1 += _E_, _L_;
CHECK(assert_equal(_E_, bayesTree.findParentClique(parents1)));
list<Index> parents2; parents2 += _L_, _E_;
CHECK(assert_equal(_E_, bayesTree.findParentClique(parents2)));
list<Index> parents3; parents3 += _L_, _B_;
CHECK(assert_equal(_L_, bayesTree.findParentClique(parents3)));
}
/* ************************************************************************* */
TEST(BayesTreeOrdered, clear)
{
// SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
// bayesTree.clear();
//
// SymbolicBayesTreeOrdered expected;
//
// // Check whether cleared BayesTreeOrdered is equal to a new BayesTreeOrdered
// CHECK(assert_equal(expected, bayesTree));
}
/* ************************************************************************* *
Bayes Tree for testing conversion to a forest of orphans needed for incremental.
A,B
C|A E|B
D|C F|E
*/
/* ************************************************************************* */
TEST( BayesTreeOrdered, removePath )
{
const Index _A_=5, _B_=4, _C_=3, _D_=2, _E_=1, _F_=0;
IndexConditionalOrdered::shared_ptr
A(new IndexConditionalOrdered(_A_)),
B(new IndexConditionalOrdered(_B_, _A_)),
C(new IndexConditionalOrdered(_C_, _A_)),
D(new IndexConditionalOrdered(_D_, _C_)),
E(new IndexConditionalOrdered(_E_, _B_)),
F(new IndexConditionalOrdered(_F_, _E_));
SymbolicBayesTreeOrdered bayesTree;
EXPECT(bayesTree.empty());
// Ordering ord; ord += _A_,_B_,_C_,_D_,_E_,_F_;
SymbolicBayesTreeOrdered::insert(bayesTree, A);
SymbolicBayesTreeOrdered::insert(bayesTree, B);
SymbolicBayesTreeOrdered::insert(bayesTree, C);
SymbolicBayesTreeOrdered::insert(bayesTree, D);
SymbolicBayesTreeOrdered::insert(bayesTree, E);
SymbolicBayesTreeOrdered::insert(bayesTree, F);
// remove C, expected outcome: factor graph with ABC,
// Bayes Tree now contains two orphan trees: D|C and E|B,F|E
SymbolicFactorGraphOrdered expected;
expected.push_factor(_B_,_A_);
// expected.push_factor(_A_);
expected.push_factor(_C_,_A_);
SymbolicBayesTreeOrdered::Cliques expectedOrphans;
expectedOrphans += bayesTree[_D_], bayesTree[_E_];
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
bayesTree.removePath(bayesTree[_C_], bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
CHECK(assert_equal((SymbolicFactorGraphOrdered)expected, factors));
CHECK(assert_equal(expectedOrphans, orphans));
// remove E: factor graph with EB; E|B removed from second orphan tree
SymbolicFactorGraphOrdered expected2;
expected2.push_factor(_E_,_B_);
SymbolicBayesTreeOrdered::Cliques expectedOrphans2;
expectedOrphans2 += bayesTree[_F_];
BayesNetOrdered<IndexConditionalOrdered> bn2;
SymbolicBayesTreeOrdered::Cliques orphans2;
bayesTree.removePath(bayesTree[_E_], bn2, orphans2);
SymbolicFactorGraphOrdered factors2(bn2);
CHECK(assert_equal((SymbolicFactorGraphOrdered)expected2, factors2));
CHECK(assert_equal(expectedOrphans2, orphans2));
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, removePath2 )
{
SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
// Call remove-path with clique B
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
bayesTree.removePath(bayesTree[_B_], bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
// Check expected outcome
SymbolicFactorGraphOrdered expected;
expected.push_factor(_E_,_L_,_B_);
// expected.push_factor(_L_,_B_);
// expected.push_factor(_B_);
CHECK(assert_equal(expected, factors));
SymbolicBayesTreeOrdered::Cliques expectedOrphans;
expectedOrphans += bayesTree[_S_], bayesTree[_T_], bayesTree[_X_];
CHECK(assert_equal(expectedOrphans, orphans));
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, removePath3 )
{
SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
// Call remove-path with clique S
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
bayesTree.removePath(bayesTree[_S_], bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
// Check expected outcome
SymbolicFactorGraphOrdered expected;
expected.push_factor(_E_,_L_,_B_);
// expected.push_factor(_L_,_B_);
// expected.push_factor(_B_);
expected.push_factor(_S_,_L_,_B_);
CHECK(assert_equal(expected, factors));
SymbolicBayesTreeOrdered::Cliques expectedOrphans;
expectedOrphans += bayesTree[_T_], bayesTree[_X_];
CHECK(assert_equal(expectedOrphans, orphans));
}
void getAllCliques(const SymbolicBayesTreeOrdered::sharedClique& subtree, SymbolicBayesTreeOrdered::Cliques& cliques) {
// Check if subtree exists
if (subtree) {
cliques.push_back(subtree);
// Recursive call over all child cliques
BOOST_FOREACH(SymbolicBayesTreeOrdered::sharedClique& childClique, subtree->children()) {
getAllCliques(childClique,cliques);
}
}
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, shortcutCheck )
{
const Index _A_=6, _B_=5, _C_=4, _D_=3, _E_=2, _F_=1, _G_=0;
IndexConditionalOrdered::shared_ptr
A(new IndexConditionalOrdered(_A_)),
B(new IndexConditionalOrdered(_B_, _A_)),
C(new IndexConditionalOrdered(_C_, _A_)),
D(new IndexConditionalOrdered(_D_, _C_)),
E(new IndexConditionalOrdered(_E_, _B_)),
F(new IndexConditionalOrdered(_F_, _E_)),
G(new IndexConditionalOrdered(_G_, _F_));
SymbolicBayesTreeOrdered bayesTree;
// Ordering ord; ord += _A_,_B_,_C_,_D_,_E_,_F_;
SymbolicBayesTreeOrdered::insert(bayesTree, A);
SymbolicBayesTreeOrdered::insert(bayesTree, B);
SymbolicBayesTreeOrdered::insert(bayesTree, C);
SymbolicBayesTreeOrdered::insert(bayesTree, D);
SymbolicBayesTreeOrdered::insert(bayesTree, E);
SymbolicBayesTreeOrdered::insert(bayesTree, F);
SymbolicBayesTreeOrdered::insert(bayesTree, G);
//bayesTree.print("BayesTreeOrdered");
//bayesTree.saveGraph("BT1.dot");
SymbolicBayesTreeOrdered::sharedClique rootClique= bayesTree.root();
//rootClique->printTree();
SymbolicBayesTreeOrdered::Cliques allCliques;
getAllCliques(rootClique,allCliques);
BayesNetOrdered<IndexConditionalOrdered> bn;
BOOST_FOREACH(SymbolicBayesTreeOrdered::sharedClique& clique, allCliques) {
//clique->print("Clique#");
bn = clique->shortcut(rootClique, &EliminateSymbolic);
//bn.print("Shortcut:\n");
//cout << endl;
}
// Check if all the cached shortcuts are cleared
rootClique->deleteCachedShortcuts();
BOOST_FOREACH(SymbolicBayesTreeOrdered::sharedClique& clique, allCliques) {
bool notCleared = clique->cachedSeparatorMarginal();
CHECK( notCleared == false);
}
EXPECT_LONGS_EQUAL(0, rootClique->numCachedSeparatorMarginals());
// BOOST_FOREACH(SymbolicBayesTreeOrdered::sharedClique& clique, allCliques) {
// clique->print("Clique#");
// if(clique->cachedShortcut()){
// bn = clique->cachedShortcut().get();
// bn.print("Shortcut:\n");
// }
// else
// cout << "Not Initialized" << endl;
// cout << endl;
// }
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, removeTop )
{
SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
// create a new factor to be inserted
boost::shared_ptr<IndexFactorOrdered> newFactor(new IndexFactorOrdered(_S_,_B_));
// Remove the contaminated part of the Bayes tree
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
list<Index> keys; keys += _B_,_S_;
bayesTree.removeTop(keys, bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
// Check expected outcome
SymbolicFactorGraphOrdered expected;
expected.push_factor(_E_,_L_,_B_);
// expected.push_factor(_L_,_B_);
// expected.push_factor(_B_);
expected.push_factor(_S_,_L_,_B_);
CHECK(assert_equal(expected, factors));
SymbolicBayesTreeOrdered::Cliques expectedOrphans;
expectedOrphans += bayesTree[_T_], bayesTree[_X_];
CHECK(assert_equal(expectedOrphans, orphans));
// Try removeTop again with a factor that should not change a thing
boost::shared_ptr<IndexFactorOrdered> newFactor2(new IndexFactorOrdered(_B_));
BayesNetOrdered<IndexConditionalOrdered> bn2;
SymbolicBayesTreeOrdered::Cliques orphans2;
keys.clear(); keys += _B_;
bayesTree.removeTop(keys, bn2, orphans2);
SymbolicFactorGraphOrdered factors2(bn2);
SymbolicFactorGraphOrdered expected2;
CHECK(assert_equal(expected2, factors2));
SymbolicBayesTreeOrdered::Cliques expectedOrphans2;
CHECK(assert_equal(expectedOrphans2, orphans2));
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, removeTop2 )
{
SymbolicBayesTreeOrdered bayesTree = createAsiaSymbolicBayesTree();
// create two factors to be inserted
SymbolicFactorGraphOrdered newFactors;
newFactors.push_factor(_B_);
newFactors.push_factor(_S_);
// Remove the contaminated part of the Bayes tree
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
list<Index> keys; keys += _B_,_S_;
bayesTree.removeTop(keys, bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
// Check expected outcome
SymbolicFactorGraphOrdered expected;
expected.push_factor(_E_,_L_,_B_);
// expected.push_factor(_L_,_B_);
// expected.push_factor(_B_);
expected.push_factor(_S_,_L_,_B_);
CHECK(assert_equal(expected, factors));
SymbolicBayesTreeOrdered::Cliques expectedOrphans;
expectedOrphans += bayesTree[_T_], bayesTree[_X_];
CHECK(assert_equal(expectedOrphans, orphans));
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, removeTop3 )
{
const Index _x4_=5, _l5_=6;
// simple test case that failed after COLAMD was fixed/activated
IndexConditionalOrdered::shared_ptr
X(new IndexConditionalOrdered(_l5_)),
A(new IndexConditionalOrdered(_x4_, _l5_)),
B(new IndexConditionalOrdered(_x2_, _x4_)),
C(new IndexConditionalOrdered(_x3_, _x2_));
// Ordering newOrdering;
// newOrdering += _x3_, _x2_, _x1_, _l2_, _l1_, _x4_, _l5_;
SymbolicBayesTreeOrdered bayesTree;
SymbolicBayesTreeOrdered::insert(bayesTree, X);
SymbolicBayesTreeOrdered::insert(bayesTree, A);
SymbolicBayesTreeOrdered::insert(bayesTree, B);
SymbolicBayesTreeOrdered::insert(bayesTree, C);
// remove all
list<Index> keys;
keys += _l5_, _x2_, _x3_, _x4_;
BayesNetOrdered<IndexConditionalOrdered> bn;
SymbolicBayesTreeOrdered::Cliques orphans;
bayesTree.removeTop(keys, bn, orphans);
SymbolicFactorGraphOrdered factors(bn);
CHECK(orphans.size() == 0);
}
/* ************************************************************************* */
TEST( BayesTreeOrdered, permute )
{
// creates a permutation and ensures that the nodes listing is updated
// initial keys - more than just 6 variables - for a system with 9 variables
const Index _A0_=8, _B0_=7, _C0_=6, _D0_=5, _E0_=4, _F0_=0;
// reduced keys - back to just 6 variables
const Index _A_=5, _B_=4, _C_=3, _D_=2, _E_=1, _F_=0;
// Create and verify the permutation
std::set<Index> indices; indices += _A0_, _B0_, _C0_, _D0_, _E0_, _F0_;
Permutation actReducingPermutation = gtsam::internal::createReducingPermutation(indices);
Permutation expReducingPermutation(6);
expReducingPermutation[_A_] = _A0_;
expReducingPermutation[_B_] = _B0_;
expReducingPermutation[_C_] = _C0_;
expReducingPermutation[_D_] = _D0_;
expReducingPermutation[_E_] = _E0_;
expReducingPermutation[_F_] = _F0_;
EXPECT(assert_equal(expReducingPermutation, actReducingPermutation));
// Invert the permutation
gtsam::internal::Reduction inv_reduction = gtsam::internal::Reduction::CreateAsInverse(expReducingPermutation);
// Build a bayes tree around reduced keys as if just eliminated from subset of factors/variables
IndexConditionalOrdered::shared_ptr
A(new IndexConditionalOrdered(_A_)),
B(new IndexConditionalOrdered(_B_, _A_)),
C(new IndexConditionalOrdered(_C_, _A_)),
D(new IndexConditionalOrdered(_D_, _C_)),
E(new IndexConditionalOrdered(_E_, _B_)),
F(new IndexConditionalOrdered(_F_, _E_));
SymbolicBayesTreeOrdered bayesTreeReduced;
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, A);
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, B);
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, C);
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, D);
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, E);
SymbolicBayesTreeOrdered::insert(bayesTreeReduced, F);
// bayesTreeReduced.print("Reduced bayes tree");
// P( 4 5)
// P( 3 | 5)
// P( 2 | 3)
// P( 1 | 4)
// P( 0 | 1)
// Apply the permutation - should add placeholders for variables not present in nodes
SymbolicBayesTreeOrdered actBayesTree = *bayesTreeReduced.clone();
actBayesTree.permuteWithInverse(expReducingPermutation);
// actBayesTree.print("Full bayes tree");
// P( 7 8)
// P( 6 | 8)
// P( 5 | 6)
// P( 4 | 7)
// P( 0 | 4)
// check keys in cliques
std::vector<Index> expRootIndices; expRootIndices += _B0_, _A0_;
IndexConditionalOrdered::shared_ptr
expRoot(new IndexConditionalOrdered(expRootIndices, 2)), // root
A0(new IndexConditionalOrdered(_A0_)),
B0(new IndexConditionalOrdered(_B0_, _A0_)),
C0(new IndexConditionalOrdered(_C0_, _A0_)), // leaf level 1
D0(new IndexConditionalOrdered(_D0_, _C0_)), // leaf level 2
E0(new IndexConditionalOrdered(_E0_, _B0_)), // leaf level 2
F0(new IndexConditionalOrdered(_F0_, _E0_)); // leaf level 3
CHECK(actBayesTree.root());
EXPECT(assert_equal(*expRoot, *actBayesTree.root()->conditional()));
EXPECT(assert_equal(*C0, *actBayesTree.root()->children().front()->conditional()));
EXPECT(assert_equal(*D0, *actBayesTree.root()->children().front()->children().front()->conditional()));
EXPECT(assert_equal(*E0, *actBayesTree.root()->children().back()->conditional()));
EXPECT(assert_equal(*F0, *actBayesTree.root()->children().back()->children().front()->conditional()));
// check nodes structure
LONGS_EQUAL(9, actBayesTree.nodes().size());
SymbolicBayesTreeOrdered expFullTree;
SymbolicBayesTreeOrdered::insert(expFullTree, A0);
SymbolicBayesTreeOrdered::insert(expFullTree, B0);
SymbolicBayesTreeOrdered::insert(expFullTree, C0);
SymbolicBayesTreeOrdered::insert(expFullTree, D0);
SymbolicBayesTreeOrdered::insert(expFullTree, E0);
SymbolicBayesTreeOrdered::insert(expFullTree, F0);
EXPECT(assert_equal(expFullTree, actBayesTree));
}
///* ************************************************************************* */
///**
// * x2 - x3 - x4 - x5
// * | / \ |
// * x1 / \ x6
// */
//TEST( BayesTreeOrdered, insert )
//{
// // construct bayes tree by split the graph along the separator x3 - x4
// const Index _x1_=0, _x2_=1, _x6_=2, _x5_=3, _x3_=4, _x4_=5;
// SymbolicFactorGraphOrdered fg1, fg2, fg3;
// fg1.push_factor(_x3_, _x4_);
// fg2.push_factor(_x1_, _x2_);
// fg2.push_factor(_x2_, _x3_);
// fg2.push_factor(_x1_, _x3_);
// fg3.push_factor(_x5_, _x4_);
// fg3.push_factor(_x6_, _x5_);
// fg3.push_factor(_x6_, _x4_);
//
//// Ordering ordering1; ordering1 += _x3_, _x4_;
//// Ordering ordering2; ordering2 += _x1_, _x2_;
//// Ordering ordering3; ordering3 += _x6_, _x5_;
//
// BayesNetOrdered<IndexConditionalOrdered> bn1, bn2, bn3;
// bn1 = *SymbolicSequentialSolver::EliminateUntil(fg1, _x4_+1);
// bn2 = *SymbolicSequentialSolver::EliminateUntil(fg2, _x2_+1);
// bn3 = *SymbolicSequentialSolver::EliminateUntil(fg3, _x5_+1);
//
// // insert child cliques
// SymbolicBayesTreeOrdered actual;
// list<SymbolicBayesTreeOrdered::sharedClique> children;
// SymbolicBayesTreeOrdered::sharedClique r1 = actual.insert(bn2, children);
// SymbolicBayesTreeOrdered::sharedClique r2 = actual.insert(bn3, children);
//
// // insert root clique
// children.push_back(r1);
// children.push_back(r2);
// actual.insert(bn1, children, true);
//
// // traditional way
// SymbolicFactorGraphOrdered fg;
// fg.push_factor(_x3_, _x4_);
// fg.push_factor(_x1_, _x2_);
// fg.push_factor(_x2_, _x3_);
// fg.push_factor(_x1_, _x3_);
// fg.push_factor(_x5_, _x4_);
// fg.push_factor(_x6_, _x5_);
// fg.push_factor(_x6_, _x4_);
//
//// Ordering ordering; ordering += _x1_, _x2_, _x6_, _x5_, _x3_, _x4_;
// BayesNetOrdered<IndexConditionalOrdered> bn(*SymbolicSequentialSolver(fg).eliminate());
// SymbolicBayesTreeOrdered expected(bn);
// CHECK(assert_equal(expected, actual));
//
//}
/* ************************************************************************* */
int main() { TestResult tr; return TestRegistry::runAllTests(tr); }
/* ************************************************************************* */