Adds an "auto" solver option (#60)

Adds missing components to the auto solver option

Author: goulart-paul

tests/get_info.cpp

@@ -0,0 +1,62 @@
+#include <Clarabel>
+#include <Eigen/Eigen>
+#include <cmath>
+#include <gtest/gtest.h>
+#include <iostream>
+#include <limits>
+#include <vector>
+
+using namespace std;
+using namespace clarabel;
+using namespace Eigen;
+
+class GetInfoTest : public ::testing::Test
+{
+  protected:
+    SparseMatrix<double> P, A;
+    Vector<double, 2> c = { 1., 1. };
+    Vector<double, 6> b = { -1., 0., 0., 1., 0.7, 0.7 };
+    vector<SupportedConeT<double>> cones = {
+        NonnegativeConeT<double>(3),
+        NonnegativeConeT<double>(3)
+    };
+    DefaultSettings<double> settings = DefaultSettings<double>::default_settings();
+
+    GetInfoTest()
+    {
+        MatrixXd P_dense(2, 2);
+        P_dense << 4., 1.,
+            1., 2.;
+        P = P_dense.sparseView();
+        P.makeCompressed();
+
+        MatrixXd A_dense(6, 2);
+        A_dense <<
+            -1., -1.,
+            -1., 0.,
+            0., -1.,
+            1., 1.,
+            1., 0.,
+            0., 1.;
+        A = A_dense.sparseView();
+        A.makeCompressed();
+    }
+};
+
+
+TEST_F(GetInfoTest, Feasible)
+{
+    DefaultSolver<double> solver(P, c, A, b, cones, settings);
+    solver.solve();
+    auto info = solver.info();
+
+    DefaultSolution<double> solution = solver.solution();
+    ASSERT_EQ(solution.status, SolverStatus::Solved);
+
+    // check the linear solver reporting 
+    ASSERT_EQ(info.linsolver.name, ClarabelDirectSolveMethods::QDLDL);
+    ASSERT_EQ(info.linsolver.threads, 1);
+    ASSERT_EQ(info.linsolver.direct, true);
+    ASSERT_EQ(info.linsolver.nnzA, 17);
+    ASSERT_EQ(info.linsolver.nnzL, 9);
+}