Squashed 'third_party/osqp/' content from commit 33454b3e23

Change-Id: I056df0582ca06664e86554c341a94c47ab932001
git-subtree-dir: third_party/osqp
git-subtree-split: 33454b3e236f1f44193bfbbb6b8c8e71f8f04e9a
Signed-off-by: Austin Schuh <austin.linux@gmail.com>
diff --git a/tests/basic_qp/CMakeLists.txt b/tests/basic_qp/CMakeLists.txt
new file mode 100644
index 0000000..7adac5e
--- /dev/null
+++ b/tests/basic_qp/CMakeLists.txt
@@ -0,0 +1,13 @@
+get_directory_property(headers
+                        DIRECTORY ${PROJECT_SOURCE_DIR}/tests
+                        DEFINITION headers)
+                        
+set(headers ${headers}
+    ${CMAKE_CURRENT_SOURCE_DIR}/test_basic_qp.h PARENT_SCOPE)
+
+get_directory_property(codegen_headers
+                        DIRECTORY ${PROJECT_SOURCE_DIR}/tests
+                        DEFINITION codegen_headers)
+
+set(codegen_headers ${codegen_headers}
+        ${CMAKE_CURRENT_SOURCE_DIR}/data.h PARENT_SCOPE)
diff --git a/tests/basic_qp/__init__.py b/tests/basic_qp/__init__.py
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/tests/basic_qp/__init__.py
diff --git a/tests/basic_qp/generate_problem.py b/tests/basic_qp/generate_problem.py
new file mode 100644
index 0000000..a8defb1
--- /dev/null
+++ b/tests/basic_qp/generate_problem.py
@@ -0,0 +1,30 @@
+import numpy as np
+from scipy import sparse
+import utils.codegen_utils as cu
+
+P = sparse.triu([[4., 1.], [1., 2.]], format='csc')
+q = np.ones(2)
+
+A = sparse.csc_matrix(np.array([[1., 1.], [1., 0.], [0., 1.], [0., 1.]]))
+l = np.array([1., 0., 0., -np.inf])
+u = np.array([1., 0.7, 0.7, np.inf])
+
+n = P.shape[0]
+m = A.shape[0]
+
+# New data
+q_new = np.array([2.5, 3.2])
+l_new = np.array([0.8, -3.4, -np.inf, 0.5])
+u_new = np.array([1.6, 1.0, np.inf, 0.5])
+
+# Generate problem solutions
+sols_data = {'x_test': np.array([0.3, 0.7]),
+             'y_test': np.array([-2.9, 0.0, 0.2, 0.0]),
+             'obj_value_test': 1.88,
+             'status_test': 'optimal',
+             'q_new': q_new,
+             'l_new': l_new,
+             'u_new': u_new}
+
+# Generate problem data
+cu.generate_problem_data(P, q, A, l, u, 'basic_qp', sols_data)
diff --git a/tests/basic_qp/test_basic_qp.h b/tests/basic_qp/test_basic_qp.h
new file mode 100644
index 0000000..3fb85f5
--- /dev/null
+++ b/tests/basic_qp/test_basic_qp.h
@@ -0,0 +1,904 @@
+#include "osqp.h"        // OSQP API
+#include "auxil.h"       // Needed for cold_start()
+#include "cs.h"          // CSC data structure
+#include "util.h"        // Utilities for testing
+#include "osqp_tester.h" // Basic testing script header
+
+#include "basic_qp/data.h"
+
+
+void test_basic_qp_solve()
+{
+  c_int exitflag, tmp_int;
+  c_float tmp_float;
+  csc *tmp_mat, *P_tmp;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->max_iter   = 2000;
+  settings->alpha      = 1.6;
+  settings->polish     = 1;
+  settings->scaling    = 0;
+  settings->verbose    = 1;
+  settings->warm_start = 0;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test solve: Setup error!", exitflag == 0);
+
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test solve: Error in solver status!",
+	    work->info->status_val == sols_data->status_test);
+
+  // Compare primal solutions
+  mu_assert("Basic QP test solve: Error in primal solution!",
+	    vec_norm_inf_diff(work->solution->x, sols_data->x_test,
+			      data->n) < TESTS_TOL);
+
+  // Compare dual solutions
+  mu_assert("Basic QP test solve: Error in dual solution!",
+	    vec_norm_inf_diff(work->solution->y, sols_data->y_test,
+			      data->m) < TESTS_TOL);
+
+
+  // Compare objective values
+  mu_assert("Basic QP test solve: Error in objective value!",
+	    c_absval(work->info->obj_val - sols_data->obj_value_test) <
+	    TESTS_TOL);
+
+  // Try to set wrong settings
+  mu_assert("Basic QP test solve: Wrong value of rho not caught!",
+	    osqp_update_rho(work, -0.1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of max_iter not caught!",
+	    osqp_update_max_iter(work, -1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of eps_abs not caught!",
+	    osqp_update_eps_abs(work, -1.) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of eps_rel not caught!",
+	    osqp_update_eps_rel(work, -1.) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of eps_prim_inf not caught!",
+	    osqp_update_eps_prim_inf(work, -0.1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of eps_dual_inf not caught!",
+	    osqp_update_eps_dual_inf(work, -0.1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of alpha not caught!",
+	    osqp_update_alpha(work, 2.0) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of warm_start not caught!",
+	    osqp_update_warm_start(work, -1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of scaled_termination not caught!",
+	    osqp_update_scaled_termination(work, 2) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of check_termination not caught!",
+	    osqp_update_check_termination(work, -1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of delta not caught!",
+	    osqp_update_delta(work, 0.) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of polish not caught!",
+	    osqp_update_polish(work, 2) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of polish_refine_iter not caught!",
+	    osqp_update_polish_refine_iter(work, -1) == 1);
+
+  mu_assert("Basic QP test solve: Wrong value of verbose not caught!",
+	    osqp_update_verbose(work, 2) == 1);
+
+  // Clean workspace
+  osqp_cleanup(work);
+
+  /* =============================
+       SETUP WITH WRONG SETTINGS
+     ============================= */
+
+  // Setup workspace with empty settings
+  exitflag = osqp_setup(&work, data, OSQP_NULL);
+  mu_assert("Basic QP test solve: Setup should result in error due to empty settings",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+
+  // Setup workspace with a wrong number of scaling iterations
+  tmp_int = settings->scaling;
+  settings->scaling = -1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to a negative number of scaling iterations",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->scaling = tmp_int;
+
+  // Setup workspace with wrong settings->adaptive_rho
+  tmp_int = settings->adaptive_rho;
+  settings->adaptive_rho = 2;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-boolean settings->adaptive_rho",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->adaptive_rho = tmp_int;
+
+  // Setup workspace with wrong settings->adaptive_rho_interval
+  tmp_int = settings->adaptive_rho_interval;
+  settings->adaptive_rho_interval = -1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to negative settings->adaptive_rho_interval",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->adaptive_rho_interval = tmp_int;
+
+#ifdef PROFILING
+  // Setup workspace with wrong settings->adaptive_rho_fraction
+  tmp_float = settings->adaptive_rho_fraction;
+  settings->adaptive_rho_fraction = -1.5;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->adaptive_rho_fraction",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->adaptive_rho_fraction = tmp_float;
+#endif
+
+  // Setup workspace with wrong settings->adaptive_rho_tolerance
+  tmp_float = settings->adaptive_rho_tolerance;
+  settings->adaptive_rho_tolerance = 0.5;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong settings->adaptive_rho_tolerance",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->adaptive_rho_tolerance = tmp_float;
+
+  // Setup workspace with wrong settings->polish_refine_iter
+  tmp_int = settings->polish_refine_iter;
+  settings->polish_refine_iter = -3;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to negative settings->polish_refine_iter",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->polish_refine_iter = tmp_int;
+
+  // Setup workspace with wrong settings->rho
+  tmp_float = settings->rho;
+  settings->rho = 0.0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->rho",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->rho = tmp_float;
+
+  // Setup workspace with wrong settings->sigma
+  tmp_float = settings->sigma;
+  settings->sigma = -0.1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->sigma",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->sigma = tmp_float;
+
+  // Setup workspace with wrong settings->delta
+  tmp_float = settings->delta;
+  settings->delta = -1.1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->delta",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->delta = tmp_float;
+
+  // Setup workspace with wrong settings->max_iter
+  tmp_int = settings->max_iter;
+  settings->max_iter = 0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->max_iter",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->max_iter = tmp_int;
+
+  // Setup workspace with wrong settings->eps_abs
+  tmp_float = settings->eps_abs;
+  settings->eps_abs = -1.1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to negative settings->eps_abs",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->eps_abs = tmp_float;
+
+  // Setup workspace with wrong settings->eps_rel
+  tmp_float = settings->eps_rel;
+  settings->eps_rel = -0.1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to negative settings->eps_rel",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->eps_rel = tmp_float;
+
+  // Setup workspace with wrong settings->eps_prim_inf
+  tmp_float = settings->eps_prim_inf;
+  settings->eps_prim_inf = -0.1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->eps_prim_inf",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->eps_prim_inf = tmp_float;
+
+  // Setup workspace with wrong settings->eps_dual_inf
+  tmp_float = settings->eps_dual_inf;
+  settings->eps_dual_inf = 0.0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-positive settings->eps_dual_inf",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->eps_dual_inf = tmp_float;
+
+  // Setup workspace with wrong settings->alpha
+  tmp_float = settings->alpha;
+  settings->alpha = 2.0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong settings->alpha",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->alpha = tmp_float;
+
+  // Setup workspace with wrong settings->linsys_solver
+  enum linsys_solver_type tmp_solver_type= settings->linsys_solver;
+  settings->linsys_solver = UNKNOWN_SOLVER;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong settings->linsys_solver",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->linsys_solver = tmp_solver_type;
+
+  // Setup workspace with wrong settings->verbose
+  tmp_int = settings->verbose;
+  settings->verbose = 2;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-boolean settings->verbose",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->verbose = tmp_int;
+
+  // Setup workspace with wrong settings->scaled_termination
+  tmp_int = settings->scaled_termination;
+  settings->scaled_termination = 2;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-boolean settings->scaled_termination",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->scaled_termination = tmp_int;
+
+  // Setup workspace with wrong settings->check_termination
+  tmp_int = settings->check_termination;
+  settings->check_termination = -1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-boolean settings->check_termination",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->check_termination = tmp_int;
+
+  // Setup workspace with wrong settings->warm_start
+  tmp_int = settings->warm_start;
+  settings->warm_start = 5;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-boolean settings->warm_start",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->warm_start = tmp_int;
+
+#ifdef PROFILING
+  // Setup workspace with wrong settings->time_limit
+  tmp_float = settings->time_limit;
+  settings->time_limit = -0.2;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong settings->time_limit",
+            exitflag == OSQP_SETTINGS_VALIDATION_ERROR);
+  settings->time_limit = tmp_float;
+#endif
+
+
+  /* =========================
+       SETUP WITH WRONG DATA
+     ========================= */
+
+  // Setup workspace with empty data
+  exitflag = osqp_setup(&work, OSQP_NULL, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to empty data",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+
+  // Setup workspace with wrong data->m
+  tmp_int = data->m;
+  data->m = data->m - 1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong data->m",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+  data->m = tmp_int;
+
+  // Setup workspace with wrong data->n
+  tmp_int = data->n;
+  data->n = data->n + 1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong data->n",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+
+  // Setup workspace with zero data->n
+  data->n = 0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to zero data->n",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+  data->n = tmp_int;
+
+  // Setup workspace with wrong P->m
+  tmp_int = data->P->m;
+  data->P->m = data->n + 1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong P->m",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+  data->P->m = tmp_int;
+
+  // Setup workspace with wrong P->n
+  tmp_int = data->P->n;
+  data->P->n = data->n + 1;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to wrong P->n",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+  data->P->n = tmp_int;
+
+  // Setup workspace with non-upper-triangular P
+  tmp_mat = data->P;
+
+  // Construct non-upper-triangular P
+  P_tmp = (csc*) c_malloc(sizeof(csc));
+  P_tmp->m = 2;
+  P_tmp->n = 2;
+  P_tmp->nz = -1;
+  P_tmp->nzmax = 4;
+  P_tmp->x = (c_float*) c_malloc(4 * sizeof(c_float));
+  P_tmp->x[0] = 4.0;
+  P_tmp->x[1] = 1.0;
+  P_tmp->x[2] = 1.0;
+  P_tmp->x[3] = 2.0;
+  P_tmp->i = (c_int*) c_malloc(4 * sizeof(c_int));
+  P_tmp->i[0] = 0;
+  P_tmp->i[1] = 1;
+  P_tmp->i[2] = 0;
+  P_tmp->i[3] = 1;
+  P_tmp->p = (c_int*) c_malloc((2 + 1) * sizeof(c_int));
+  P_tmp->p[0] = 0;
+  P_tmp->p[1] = 2;
+  P_tmp->p[2] = 4;
+
+  data->P = P_tmp;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-triu structure of P",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+  data->P = tmp_mat;
+
+  // Setup workspace with non-consistent bounds
+  data->l[0] = data->u[0] + 1.0;
+  exitflag = osqp_setup(&work, data, settings);
+  mu_assert("Basic QP test solve: Setup should result in error due to non-consistent bounds",
+            exitflag == OSQP_DATA_VALIDATION_ERROR);
+
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+  c_free(P_tmp->x);
+  c_free(P_tmp->i);
+  c_free(P_tmp->p);
+  c_free(P_tmp);
+}
+
+#ifdef ENABLE_MKL_PARDISO
+void test_basic_qp_solve_pardiso()
+{
+  c_int exitflag;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->max_iter      = 2000;
+  settings->alpha         = 1.6;
+  settings->polish        = 1;
+  settings->scaling       = 0;
+  settings->verbose       = 1;
+  settings->warm_start    = 0;
+  settings->linsys_solver = MKL_PARDISO_SOLVER;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test solve Pardiso: Setup error!", exitflag == 0);
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test solve Pardiso: Error in solver status!",
+            work->info->status_val == sols_data->status_test);
+
+  // Compare primal solutions
+  mu_assert("Basic QP test solve Pardiso: Error in primal solution!",
+            vec_norm_inf_diff(work->solution->x, sols_data->x_test,
+                              data->n) < TESTS_TOL);
+
+  // Compare dual solutions
+  mu_assert("Basic QP test solve Pardiso: Error in dual solution!",
+            vec_norm_inf_diff(work->solution->y, sols_data->y_test,
+                              data->m) < TESTS_TOL);
+
+
+  // Compare objective values
+  mu_assert("Basic QP test solve Pardiso: Error in objective value!",
+            c_absval(work->info->obj_val - sols_data->obj_value_test) <
+            TESTS_TOL);
+
+  // Clean workspace
+  osqp_cleanup(work);
+
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
+#endif
+
+void test_basic_qp_update()
+{
+  c_int exitflag;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->max_iter   = 200;
+  settings->alpha      = 1.6;
+  settings->polish     = 1;
+  settings->scaling    = 0;
+  settings->verbose    = 1;
+  settings->warm_start = 0;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test update: Setup error!", exitflag == 0);
+
+
+  // ====================================================================
+  //  Update data
+  // ====================================================================
+
+  // Update linear cost
+  osqp_update_lin_cost(work, sols_data->q_new);
+  mu_assert("Basic QP test update: Error in updating linear cost!",
+            vec_norm_inf_diff(work->data->q, sols_data->q_new,
+                              data->n) < TESTS_TOL);
+
+  // UPDATE BOUND
+  // Try to update with non-consistent values
+  mu_assert("Basic QP test update: Error in bounds update ordering not caught!",
+            osqp_update_bounds(work, sols_data->u_new, sols_data->l_new) == 1);
+
+  // Now update with correct values
+  mu_assert("Basic QP test update: Error in bounds update ordering!",
+            osqp_update_bounds(work, sols_data->l_new, sols_data->u_new) == 0);
+
+  mu_assert("Basic QP test update: Error in bounds update, lower bound!",
+            vec_norm_inf_diff(work->data->l, sols_data->l_new,
+                              data->m) < TESTS_TOL);
+
+  mu_assert("Basic QP test update: Error in bounds update, upper bound!",
+            vec_norm_inf_diff(work->data->u, sols_data->u_new,
+                              data->m) < TESTS_TOL);
+
+  // Return original values
+  osqp_update_bounds(work, data->l, data->u);
+
+
+  // UPDATE LOWER BOUND
+  // Try to update with non-consistent values
+  mu_assert(
+    "Basic QP test update: Error in lower bound update ordering not caught!",
+    osqp_update_lower_bound(work, sols_data->u_new) == 1);
+
+  // Now update with correct values
+  mu_assert("Basic QP test update: Error in lower bound update ordering!",
+            osqp_update_lower_bound(work, sols_data->l_new) == 0);
+
+  mu_assert("Basic QP test update: Error in updating lower bound!",
+            vec_norm_inf_diff(work->data->l, sols_data->l_new,
+                              data->m) < TESTS_TOL);
+
+  // Return original values
+  osqp_update_lower_bound(work, data->l);
+
+
+  // UPDATE UPPER BOUND
+  // Try to update with non-consistent values
+  mu_assert(
+    "Basic QP test update: Error in upper bound update: ordering not caught!",
+    osqp_update_upper_bound(work, sols_data->l_new) == 1);
+
+  // Now update with correct values
+  mu_assert("Basic QP test update: Error in upper bound update: ordering!",
+            osqp_update_upper_bound(work, sols_data->u_new) == 0);
+
+  mu_assert("Basic QP test update: Error in updating upper bound!",
+            vec_norm_inf_diff(work->data->u, sols_data->u_new,
+                              data->m) < TESTS_TOL);
+
+
+  // Clean workspace
+  osqp_cleanup(work);
+
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
+
+void test_basic_qp_check_termination()
+{
+  c_int exitflag;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->max_iter          = 200;
+  settings->alpha             = 1.6;
+  settings->polish            = 0;
+  settings->scaling           = 0;
+  settings->verbose           = 1;
+  settings->check_termination = 0;
+  settings->warm_start        = 0;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test solve: Setup error!", exitflag == 0);
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Check if iter == max_iter
+  mu_assert(
+    "Basic QP test check termination: Error in number of iterations taken!",
+    work->info->iter == work->settings->max_iter);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test check termination: Error in solver status!",
+            work->info->status_val == sols_data->status_test);
+
+  // Compare primal solutions
+  mu_assert("Basic QP test check termination: Error in primal solution!",
+            vec_norm_inf_diff(work->solution->x, sols_data->x_test,
+                              data->n) < TESTS_TOL);
+
+  // Compare dual solutions
+  // print_vec(work->solution->y, data->m, "y_sol");
+  // print_vec(sols_data->y_test, data->m, "y_test");
+  mu_assert("Basic QP test check termination: Error in dual solution!",
+            vec_norm_inf_diff(work->solution->y, sols_data->y_test,
+                              data->m) < TESTS_TOL);
+
+  // Compare objective values
+  mu_assert("Basic QP test check termination: Error in objective value!",
+            c_absval(work->info->obj_val - sols_data->obj_value_test) <
+            TESTS_TOL);
+
+  // Clean workspace
+  osqp_cleanup(work);
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
+
+void test_basic_qp_update_rho()
+{
+  c_int extiflag;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Exitflag
+  c_int exitflag;
+
+  // rho to use
+  c_float rho;
+
+  // Define number of iterations to compare
+  c_int n_iter_new_solver, n_iter_update_rho;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+
+  // Define Solver settings as default
+  rho = 0.7;
+  osqp_set_default_settings(settings);
+  settings->rho               = rho;
+  settings->adaptive_rho      = 0; // Disable adaptive rho for this test
+  settings->eps_abs           = 5e-05;
+  settings->eps_rel           = 5e-05;
+  settings->check_termination = 1;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test update rho: Setup error!", exitflag == 0);
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Store number of iterations
+  n_iter_new_solver = work->info->iter;
+
+  // Compare solver statuses
+  mu_assert("Update rho test solve: Error in solver status!",
+            work->info->status_val == sols_data->status_test);
+
+  // Compare primal solutions
+  mu_assert("Update rho test solve: Error in primal solution!",
+            vec_norm_inf_diff(work->solution->x, sols_data->x_test,
+                              data->n)/vec_norm_inf(sols_data->x_test, data->n) < TESTS_TOL);
+
+  // Compare dual solutions
+  mu_assert("Update rho test solve: Error in dual solution!",
+            vec_norm_inf_diff(work->solution->y, sols_data->y_test,
+                              data->m)/vec_norm_inf(sols_data->y_test, data->m) < TESTS_TOL);
+
+  // Compare objective values
+  mu_assert("Update rho test solve: Error in objective value!",
+            c_absval(work->info->obj_val - sols_data->obj_value_test) <
+            TESTS_TOL);
+
+  // Clean workspace
+  osqp_cleanup(work);
+
+
+  // Create new problem with different rho and update it
+  osqp_set_default_settings(settings);
+  settings->rho               = 0.1;
+  settings->adaptive_rho      = 0;
+  settings->check_termination = 1;
+  settings->eps_abs           = 5e-05;
+  settings->eps_rel           = 5e-05;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test update rho: Setup error!", exitflag == 0);
+
+  // Update rho
+  exitflag = osqp_update_rho(work, rho);
+  mu_assert("Basic QP test update rho: Error update rho!", exitflag == 0);
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test update rho: Error in solver status!",
+            work->info->status_val == sols_data->status_test);
+
+  // Compare primal solutions
+  mu_assert("Basic QP test update rho: Error in primal solution!",
+            vec_norm_inf_diff(work->solution->x, sols_data->x_test,
+                              data->n)/vec_norm_inf(sols_data->x_test, data->n) < TESTS_TOL);
+
+  // Compare dual solutions
+  mu_assert("Basic QP test update rho: Error in dual solution!",
+            vec_norm_inf_diff(work->solution->y, sols_data->y_test,
+                              data->m)/vec_norm_inf(sols_data->y_test, data->m)< TESTS_TOL);
+
+  // Compare objective values
+  mu_assert("Basic QP test update rho: Error in objective value!",
+            c_absval(work->info->obj_val - sols_data->obj_value_test) <
+            TESTS_TOL);
+
+  // Get number of iterations
+  n_iter_update_rho = work->info->iter;
+
+  // Assert same number of iterations
+  mu_assert("Basic QP test update rho: Error in number of iterations!",
+            n_iter_new_solver == n_iter_update_rho);
+
+  // Cleanup solver
+  osqp_cleanup(work);
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
+
+#ifdef PROFILING
+void test_basic_qp_time_limit()
+{
+  c_int exitflag;
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->rho = 20;
+  settings->adaptive_rho = 0;
+
+  // Check default time limit
+  mu_assert("Basic QP test time limit: Default not correct", settings->time_limit == 0);
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Setup correct
+  mu_assert("Basic QP test time limit: Setup error!", exitflag == 0);
+
+  // Solve Problem
+  osqp_solve(work);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test time limit: Error in no time limit solver status!",
+	    work->info->status_val == sols_data->status_test);
+
+  // Update time limit
+# ifdef PRINTING
+  osqp_update_time_limit(work, 1e-5);
+  osqp_update_eps_rel(work, 1e-09);
+  osqp_update_eps_abs(work, 1e-09);
+# else
+  // Not printing makes the code run a lot faster, so we need to make it work harder
+  // to fail by time limit exceeded
+  osqp_update_time_limit(work, 1e-7);
+  osqp_update_eps_rel(work, 1e-12);
+  osqp_update_eps_abs(work, 1e-12);
+# endif
+  osqp_update_max_iter(work, (c_int)2e9);
+  osqp_update_check_termination(work, 0);
+
+  // Solve Problem
+  cold_start(work);
+  osqp_solve(work);
+
+  // Compare solver statuses
+  mu_assert("Basic QP test time limit: Error in timed out solver status!",
+	    work->info->status_val == OSQP_TIME_LIMIT_REACHED);
+
+  // Cleanup solver
+  osqp_cleanup(work);
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
+#endif // PROFILING
+
+
+void test_basic_qp_warm_start()
+{
+  c_int exitflag, iter;
+
+  // Cold started variables
+  c_float x0[2] = { 0.0, 0.0, };
+  c_float y0[4] = { 0.0, 0.0, 0.0, 0.0, };
+
+  // Optimal solution
+  c_float xopt[2] = { 0.3, 0.7, };
+  c_float yopt[4] = {-2.9, 0.0, 0.2, 0.0, };
+
+  // Problem settings
+  OSQPSettings *settings = (OSQPSettings *)c_malloc(sizeof(OSQPSettings));
+
+  // Structures
+  OSQPWorkspace *work; // Workspace
+  OSQPData *data;      // Data
+  basic_qp_sols_data *sols_data;
+
+  // Populate data
+  data = generate_problem_basic_qp();
+  sols_data = generate_problem_basic_qp_sols_data();
+
+  // Define Solver settings as default
+  osqp_set_default_settings(settings);
+  settings->check_termination = 1;
+
+  // Setup workspace
+  exitflag = osqp_setup(&work, data, settings);
+
+  // Solve Problem
+  osqp_solve(work);
+  iter = work->info->iter;
+
+  // Cold start and solve again
+  osqp_warm_start(work, x0, y0);
+  osqp_solve(work);
+
+  // Check if the number of iterations is the same
+  mu_assert("Basic QP test warm start: Cold start error!", work->info->iter == iter);
+
+  // Warm start from the solution and solve again
+  osqp_warm_start_x(work, xopt);
+  osqp_warm_start_y(work, yopt);
+  osqp_solve(work);
+
+  // Check that the number of iterations equals 1
+  mu_assert("Basic QP test warm start: Warm start error!", work->info->iter == 1);
+
+  // Cleanup solver
+  osqp_cleanup(work);
+
+  // Cleanup data
+  clean_problem_basic_qp(data);
+  clean_problem_basic_qp_sols_data(sols_data);
+
+  // Cleanup
+  c_free(settings);
+}
\ No newline at end of file