feat: add test for LinearProblem

test/LinearProblem_test.cpp

@@ -0,0 +1,35 @@
+#include <suboptimal/LinearProblem.h>
+
+#include <Eigen/Core>
+#include <catch2/catch_test_macros.hpp>
+
+using namespace suboptimal;
+using namespace Eigen;
+
+TEST_CASE("LinearProblem - Problem initialization") {
+  auto problem = LinearProblem::maximizationProblem(Vector2d{{3, 2}});
+  problem.addLessThanConstraint(Vector2d{{2, 1}}, 50);
+  problem.addGreaterThanConstraint(Vector2d{{1, 3}}, 15);
+  problem.addEqualityConstraint(Vector2d{{5, 6}}, 60);
+
+  CHECK(problem.numConstraints() == 3);
+  CHECK(problem.numDecisionVars() == 2);
+  CHECK(problem.numSlackVars() == 2);
+  CHECK(problem.numArtificialVars() == 2);
+
+  const Matrix<double, 3, 6> expected_mat{{2, 1, 1, 0, 0, 0},    //
+                                          {5, 6, 0, 0, 1, 0},    //
+                                          {1, 3, 0, -1, 0, 1}};  //
+  const Vector3d expected_rhs{{50, 60, 15}};
+
+  MatrixXd mat;
+  VectorXd rhs;
+  problem.buildConstraints(mat, rhs);
+
+  REQUIRE(mat.rows() == expected_mat.rows());
+  REQUIRE(mat.cols() == expected_mat.cols());
+  REQUIRE(rhs.size() == expected_rhs.size());
+
+  CHECK(mat == expected_mat);
+  CHECK(rhs == expected_rhs);
+}