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diff --git a/internal/ceres/schur_ordering_test.cc b/internal/ceres/schur_ordering_test.cc
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+// Ceres Solver - A fast non-linear least squares minimizer
+// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
+// http://code.google.com/p/ceres-solver/
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are met:
+//
+// * Redistributions of source code must retain the above copyright notice,
+//   this list of conditions and the following disclaimer.
+// * Redistributions in binary form must reproduce the above copyright notice,
+//   this list of conditions and the following disclaimer in the documentation
+//   and/or other materials provided with the distribution.
+// * Neither the name of Google Inc. nor the names of its contributors may be
+//   used to endorse or promote products derived from this software without
+//   specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+// POSSIBILITY OF SUCH DAMAGE.
+//
+// Author: sameeragarwal@google.com (Sameer Agarwal)
+
+#include "ceres/schur_ordering.h"
+
+#include <cstddef>
+#include <vector>
+#include "gtest/gtest.h"
+#include "ceres/collections_port.h"
+#include "ceres/graph.h"
+#include "ceres/problem_impl.h"
+#include "ceres/program.h"
+#include "ceres/stl_util.h"
+#include "ceres/cost_function.h"
+#include "ceres/internal/scoped_ptr.h"
+#include "ceres/sized_cost_function.h"
+
+namespace ceres {
+namespace internal {
+
+typedef Graph<ParameterBlock*> HessianGraph;
+typedef HashSet<ParameterBlock*> VertexSet;
+
+template <int M, int N1 = 0, int N2 = 0, int N3 = 0>
+class DummyCostFunction: public SizedCostFunction<M, N1, N2, N3> {
+  virtual bool Evaluate(double const* const* parameters,
+                        double* residuals,
+                        double** jacobians) const {
+    return true;
+  }
+};
+
+class SchurOrderingTest : public ::testing::Test {
+ protected :
+  virtual void SetUp() {
+    // The explicit calls to AddParameterBlock are necessary because
+    // the below tests depend on the specific numbering of the
+    // parameter blocks.
+    problem_.AddParameterBlock(x_, 3);
+    problem_.AddParameterBlock(y_, 4);
+    problem_.AddParameterBlock(z_, 5);
+    problem_.AddParameterBlock(w_, 6);
+
+    problem_.AddResidualBlock(new DummyCostFunction<2, 3>, NULL, x_);
+    problem_.AddResidualBlock(new DummyCostFunction<6, 5, 4>, NULL, z_, y_);
+    problem_.AddResidualBlock(new DummyCostFunction<3, 3, 5>, NULL, x_, z_);
+    problem_.AddResidualBlock(new DummyCostFunction<7, 5, 3>, NULL, z_, x_);
+    problem_.AddResidualBlock(new DummyCostFunction<1, 5, 3, 6>, NULL,
+                              z_, x_, w_);
+  }
+
+  ProblemImpl problem_;
+  double x_[3], y_[4], z_[5], w_[6];
+};
+
+TEST_F(SchurOrderingTest, NoFixed) {
+  const Program& program = problem_.program();
+  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
+  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
+
+  const VertexSet& vertices = graph->vertices();
+  EXPECT_EQ(vertices.size(), 4);
+
+  for (int i = 0; i < 4; ++i) {
+    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[0]);
+    EXPECT_EQ(neighbors.size(), 2);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
+    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
+    EXPECT_EQ(neighbors.size(), 1);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
+    EXPECT_EQ(neighbors.size(), 3);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
+    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
+    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
+    EXPECT_EQ(neighbors.size(), 2);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
+    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
+  }
+}
+
+TEST_F(SchurOrderingTest, AllFixed) {
+  problem_.SetParameterBlockConstant(x_);
+  problem_.SetParameterBlockConstant(y_);
+  problem_.SetParameterBlockConstant(z_);
+  problem_.SetParameterBlockConstant(w_);
+
+  const Program& program = problem_.program();
+  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
+  EXPECT_EQ(graph->vertices().size(), 0);
+}
+
+TEST_F(SchurOrderingTest, OneFixed) {
+  problem_.SetParameterBlockConstant(x_);
+
+  const Program& program = problem_.program();
+  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
+  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
+
+  const VertexSet& vertices = graph->vertices();
+
+  EXPECT_EQ(vertices.size(), 3);
+  EXPECT_TRUE(vertices.find(parameter_blocks[0]) == vertices.end());
+
+  for (int i = 1; i < 3; ++i) {
+    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
+    EXPECT_EQ(neighbors.size(), 1);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
+    EXPECT_EQ(neighbors.size(), 2);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
+    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
+  }
+
+  {
+    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
+    EXPECT_EQ(neighbors.size(), 1);
+    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
+  }
+
+  // The constant parameter block is at the end.
+  vector<ParameterBlock*> ordering;
+  ComputeSchurOrdering(program, &ordering);
+  EXPECT_EQ(ordering.back(), parameter_blocks[0]);
+}
+
+}  // namespace internal
+}  // namespace ceres