diff --git a/cyipopt/tests/unit/test_deriv_errors.py b/cyipopt/tests/unit/test_deriv_errors.py
new file mode 100644
index 00000000..4c7cb436
--- /dev/null
+++ b/cyipopt/tests/unit/test_deriv_errors.py
@@ -0,0 +1,182 @@
+import numpy as np
+
+import cyipopt
+
+import pytest
+
+
+def full_indices(shape):
+    def indices():
+        r, c = np.indices(shape)
+        return r.flatten(), c.flatten()
+
+    return indices
+
+
+def tril_indices(size):
+    def indices():
+        return np.tril_indices(size)
+
+    return indices
+
+
+def flatten(func):
+    def _func(*args):
+        return func(*args).flatten()
+
+    return _func
+
+
+@pytest.fixture
+def hs071_sparse_definition_fixture(hs071_variable_lower_bounds_fixture,
+                                    hs071_constraint_lower_bounds_fixture,
+                                    hs071_definition_instance_fixture):
+    problem = hs071_definition_instance_fixture
+    n = len(hs071_variable_lower_bounds_fixture)
+    m = len(hs071_constraint_lower_bounds_fixture)
+
+    problem.jacobianstructure = full_indices((m, n))
+    problem.hessianstructure = tril_indices(n)
+
+    problem.jacobian = flatten(problem.jacobian)
+    problem.hessian = flatten(problem.hessian)
+
+    return problem
+
+
+@pytest.fixture
+def hs071_sparse_instance(hs071_initial_guess_fixture,
+                          hs071_variable_lower_bounds_fixture,
+                          hs071_variable_upper_bounds_fixture,
+                          hs071_constraint_lower_bounds_fixture,
+                          hs071_constraint_upper_bounds_fixture,
+                          hs071_sparse_definition_fixture):
+
+    class Instance:
+        pass
+
+    instance = Instance()
+    instance.problem_definition = hs071_sparse_definition_fixture
+    instance.x0 = hs071_initial_guess_fixture
+    instance.lb = hs071_variable_lower_bounds_fixture
+    instance.ub = hs071_variable_upper_bounds_fixture
+    instance.cl = hs071_constraint_lower_bounds_fixture
+    instance.cu = hs071_constraint_upper_bounds_fixture
+    instance.n = len(instance.x0)
+    instance.m = len(instance.cl)
+
+    return instance
+
+
+def problem_for_instance(instance):
+    return cyipopt.Problem(n=instance.n,
+                           m=instance.m,
+                           problem_obj=instance.problem_definition,
+                           lb=instance.lb,
+                           ub=instance.ub,
+                           cl=instance.cl,
+                           cu=instance.cu)
+
+
+def test_solve_sparse(hs071_sparse_instance):
+    instance = hs071_sparse_instance
+    problem = problem_for_instance(instance)
+
+    x, info = problem.solve(instance.x0)
+
+    assert info['status'] == 0
+
+
+def ensure_invalid_option(instance):
+    problem = problem_for_instance(instance)
+
+    problem.add_option('max_iter', 50)
+    x, info = problem.solve(instance.x0)
+
+    # -12: Invalid option
+    assert info['status'] == -12
+
+
+@pytest.mark.skip
+def test_solve_neg_jac(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    m = hs071_sparse_instance.m
+    problem_definition = hs071_sparse_instance.problem_definition
+
+    def jacobianstructure():
+        r = np.full((m*n,), fill_value=-1, dtype=int)
+        c = np.full((m*n,), fill_value=-1, dtype=int)
+        return r, c
+
+    problem_definition.jacobianstructure = jacobianstructure
+
+    ensure_invalid_option(hs071_sparse_instance)
+
+
+@pytest.mark.skip
+def test_solve_large_jac(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    m = hs071_sparse_instance.m
+    problem_definition = hs071_sparse_instance.problem_definition
+
+    import logging
+    logging.basicConfig(level=logging.DEBUG)
+
+    def jacobianstructure():
+        r = np.full((m*n,), fill_value=(m + n + 100), dtype=int)
+        c = np.full((m*n,), fill_value=(m + n + 100), dtype=int)
+        return r, c
+
+    problem_definition.jacobianstructure = jacobianstructure
+
+    ensure_invalid_option(hs071_sparse_instance)
+
+
+def test_solve_triu_hess(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    problem_definition = hs071_sparse_instance.problem_definition
+    problem_definition.hessianstructure = lambda: np.triu_indices(n)
+
+    ensure_invalid_option(hs071_sparse_instance)
+
+
+def test_solve_neg_hess_entries(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    problem_definition = hs071_sparse_instance.problem_definition
+
+    def hessianstructure():
+        r, c = np.tril_indices(n)
+        rneg = np.full_like(r, -1, dtype=int)
+        cneg = np.full_like(c, -1, dtype=int)
+        return rneg, cneg
+
+    problem_definition.hessianstructure = hessianstructure
+
+    ensure_invalid_option(hs071_sparse_instance)
+
+
+def test_solve_large_hess_entries(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    problem_definition = hs071_sparse_instance.problem_definition
+
+    def hessianstructure():
+        r, c = np.tril_indices(n)
+        rlarge = np.full_like(r, n + 100, dtype=int)
+        clarge = np.full_like(c, n + 100, dtype=int)
+        return rlarge, clarge
+
+    problem_definition.hessianstructure = hessianstructure
+
+    ensure_invalid_option(hs071_sparse_instance)
+
+
+def test_solve_wrong_size(hs071_sparse_instance):
+    n = hs071_sparse_instance.n
+    problem_definition = hs071_sparse_instance.problem_definition
+
+    def hessianstructure():
+        return np.tril_indices(n + 10)
+
+    problem_definition.hessianstructure = hessianstructure
+
+    ensure_invalid_option(hs071_sparse_instance)