example: fix

Author: jcarpent

examples/cpp/solve_without_api.cpp

@@ -1,10 +1,12 @@
 #include <iostream>
 #include "proxsuite/proxqp/sparse/sparse.hpp" // get the sparse backend of ProxQP
 #include "proxsuite/proxqp/dense/dense.hpp"   // get the dense backend of ProxQP
-#include <proxsuite/proxqp/utils/random_qp_problems.hpp> // used for generating a random convex qp
+#include "proxsuite/proxqp/utils/random_qp_problems.hpp" // used for generating a random convex qp
 
 using namespace proxsuite::proxqp;
 using T = double;
+using Mat = dense::Mat<T>;
+using Vec = dense::Vec<T>;
 
 int
 main()
@@ -15,13 +17,17 @@ main()
   T p = 0.15;            // level of sparsity
   T conditioning = 10.0; // conditioning level for H
   auto H = utils::rand::sparse_positive_definite_rand(n, conditioning, p);
-  auto g = utils::rand::vector_rand<T>(n);
+  Mat H_dense = Mat(H);
+  Vec g = utils::rand::vector_rand<T>(n);
   auto A = utils::rand::sparse_matrix_rand<T>(n_eq, n, p);
+  Mat A_dense = Mat(A);
   auto C = utils::rand::sparse_matrix_rand<T>(n_in, n, p);
-  auto x_sol = utils::rand::vector_rand<T>(n);
-  auto b = (A * x_sol).eval();
-  auto l = (C * x_sol).eval();
-  auto u = (l.array() + 10).matrix().eval();
+  Mat C_dense = Mat(C);
+  Vec x_sol = utils::rand::vector_rand<T>(n);
+  Vec b = A * x_sol;
+  Vec l = C * x_sol;
+  Vec u = (l.array() + 10).matrix();
+
   // Solve the problem using the sparse backend
   Results<T> results_sparse_solver =
     sparse::solve<T, isize>(H, g, A, b, C, l, u);
@@ -32,8 +38,9 @@ main()
   std::cout << "optimal z from sparse solver: " << results_sparse_solver.z
             << std::endl;
   // Solve the problem using the dense backend
-  Results<T> results_dense_solver = dense::solve<T>(
-    dense::Mat<T>(H), g, dense::Mat<T>(A), b, dense::Mat<T>(C), u, l);
+  Results<T> results_dense_solver =
+    dense::solve<T>(H_dense, g, A_dense, b, C_dense, l, u);
+
   // print an optimal solution x,y and z
   std::cout << "optimal x from dense solver: " << results_dense_solver.x
             << std::endl;