def test_bound_variable(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxMPQManager()
variables = [PyVar('x0'), PyVar('y')]
intervals = [PyMPQInterval(-3, 2), PyMPQInterval(-2, 2, 1, 1)]
b = PyBox(man, e, variables=variables, intervals=intervals)
self.assertEqual(str(b.bound_variable(PyVar('y'))), '[-2,2]')
def test_forget(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxMPQManager()
variables = [PyVar('x0'), PyVar('y')]
intervals = [PyMPQInterval(-3, 2), PyMPQInterval(-2, 2, 1, 1)]
b = PyBox(man, e, variables=variables, intervals=intervals)
self.assertEqual(str(b.forget([PyVar('y')])),
'1·x0 + 3 >= 0 ∧ -1·x0 + 2 >= 0')
def test_bound_texpr(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxMPQManager()
variables = [PyVar('x0'), PyVar('y')]
intervals = [PyMPQInterval(-3, 2), PyMPQInterval(-2, 2, 1, 1)]
b = PyBox(man, e, variables=variables, intervals=intervals)
x0 = PyTexpr1.var(e, PyVar('x0'))
x1 = PyTexpr1.var(e, PyVar('y'))
add = PyTexpr1.binop(TexprOp.AP_TEXPR_ADD, x0, x1,
TexprRtype.AP_RTYPE_REAL, TexprRdir.AP_RDIR_RND)
self.assertEqual(str(b.bound_texpr(add)), '[-5,4]')
def test_deepcopy(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxDManager()
b0 = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyDoubleInterval(-2.5, 2.5)])
b1 = deepcopy(b0)
b2 = b0
self.assertNotEqual(id(b0), id(b1))
self.assertEqual(id(b0), id(b2))
def test_meet(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxDManager()
b0 = PyBox.bottom(man, e)
b1d = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyDoubleInterval(-2.5, 0.0)])
b1q = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPQInterval(-5, 0, 2, 1)])
b1f = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPFRInterval(-2.5, 0.0)])
b2d = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyDoubleInterval(0.0, 2.5)])
b2q = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPQInterval(0, 5, 1, 2)])
b2f = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPFRInterval(0.0, 2.5)])
b3d = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyDoubleInterval(0.0, 0.0)])
b3q = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPQInterval(0, 0, 1, 1)])
b3f = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyMPFRInterval(0.0, 0.0)])
b4 = PyBox.top(man, e)
self.assertTrue(b0.meet(b1d) == b0)
self.assertTrue(b0.meet(b1q) == b0)
self.assertTrue(b0.meet(b1f) == b0)
self.assertTrue(b0.meet(b2d) == b0)
self.assertTrue(b0.meet(b2q) == b0)
self.assertTrue(b0.meet(b2f) == b0)
self.assertTrue(b0.meet(b3d) == b0)
self.assertTrue(b0.meet(b3q) == b0)
self.assertTrue(b0.meet(b3f) == b0)
self.assertTrue(b1d.meet(b2d) == b3d)
self.assertTrue(b1d.meet(b3d) == b3d)
self.assertTrue(b2d.meet(b3d) == b3d)
self.assertTrue(b1q.meet(b2q) == b3q)
self.assertTrue(b1q.meet(b3q) == b3q)
self.assertTrue(b2q.meet(b3q) == b3q)
self.assertTrue(b1f.meet(b2f) == b3f)
self.assertTrue(b1f.meet(b3f) == b3f)
self.assertTrue(b2f.meet(b3f) == b3f)
self.assertTrue(b1d.meet(b4) == b1d)
self.assertTrue(b1q.meet(b4) == b1q)
self.assertTrue(b1f.meet(b4) == b1f)
self.assertTrue(b2d.meet(b4) == b2d)
self.assertTrue(b2q.meet(b4) == b2q)
self.assertTrue(b2f.meet(b4) == b2f)
self.assertTrue(b3d.meet(b4) == b3d)
self.assertTrue(b3q.meet(b4) == b3q)
self.assertTrue(b3f.meet(b4) == b3f)
def test_top(self):
e = PyEnvironment([PyVar('x0'), PyVar('y')], [PyVar('z')])
man: PyManager = PyBoxDManager()
self.assertFalse(PyBox.bottom(man, e).is_top())
b1 = PyBox(man,
e,
variables=[PyVar('x0')],
intervals=[PyDoubleInterval(-2.5, 2.5)])
self.assertFalse(b1.is_bottom())
b2 = PyBox(man,
e,
variables=[PyVar('y')],
intervals=[PyMPQInterval(-5, 5, 2, 2)])
self.assertFalse(b2.is_bottom())
b3 = PyBox(man,
e,
variables=[PyVar('z')],
intervals=[PyMPFRInterval(-2.5, 2.5)])
self.assertFalse(b3.is_bottom())
self.assertTrue(PyBox.top(man, e).is_top())