def test_field_derivative():
f = Frame()
f.addfield("Y", 1.)
f.addintegrationvariable("x", 0.)
def diff(f, x, Y):
return -Y
f.Y.differentiator = diff
with pytest.raises(RuntimeError):
f.Y.derivative()
f.integrator = Integrator(f.x)
f.integrator._var = None
with pytest.raises(RuntimeError):
f.Y.derivative()
f.integrator = Integrator(f.x)
assert np.all(f.Y.derivative() == -f.Y)
f.addfield("Y", [1., 0])
assert np.all(f.Y.derivative() == 0.)
def jac(f, x):
return [[2., 0], [0., 2.]]
f.Y.jacobinator = jac
assert np.all(f.Y.derivative() == [2., 0.])
def test_namespacewriter_read_empty():
f = Frame()
f.addfield("Y", 1.)
f.writer = writers.namespacewriter()
with pytest.raises(RuntimeError):
Y = f.writer.read.sequence("Y")
with pytest.raises(RuntimeError):
data = f.writer.read.all()
def test_field_set():
f = Frame()
f.addfield("Y", 0.)
f.Y._setvalue(1.)
assert f.Y == 1.
f.Y.constant = True
with pytest.raises(RuntimeError):
f.Y._setvalue(0.)
def test_field_update():
f = Frame()
f.addfield("Y", 1.)
def upd(f):
return 0.
f.Y.updater = upd
f.Y.update()
assert f.Y == 0.
def test_impl_1_euler_gmres_fail():
f = Frame()
f.addfield("Y", 1.)
def jac(f, x):
return np.array([-1.])
f.Y.jacobinator = jac
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.impl_1_euler_gmres,
f.Y,
controller={
"gmres_opt": {
"atol": 0.,
"tol": 1.e-18,
"maxiter": 1
}
})
]
with pytest.raises(StopIteration):
f.run()
def test_expl_5_cash_karp_adptv():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(0.1)
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.expl_5_cash_karp_adptv,
f.Y,
controller={"eps": 1.e-3})
]
f.run()
assert np.allclose(f.Y, 4.57114092616805e-05)
def test_expl_3_gottlieb_shu_adptv():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(0.1)
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.expl_3_gottlieb_shu_adptv,
f.Y,
controller={"eps": 1.e-4})
]
f.run()
assert np.allclose(f.Y, 4.5390485375346277e-05)
def test_expl_2_heun_euler_adaptive():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(0.1)
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.expl_2_heun_euler_adptv,
f.Y,
controller={"eps": 1.e-3})
]
f.run()
assert np.allclose(f.Y, 4.553150014598088e-05)
def test_expl_5_dormand_prince_adptv():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(0.1)
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.expl_5_dormand_prince_adptv,
f.Y,
controller={"eps": 1.e-2})
]
f.run()
assert np.allclose(f.Y, 1.8016162079480785e-06)
def test_namespacewriter_read_out_of_bounds():
f = Frame()
f.addfield("Y", 1.)
f.writer = writers.namespacewriter()
f.writer.verbosity = 0
f.writer.dumping = False
f.writer.write(f)
with pytest.raises(RuntimeError):
f.writer.read.output(1)
data0000 = f.writer.read.output(0)
assert data0000.Y == 1.
f.writer.reset()
def test_write():
f = Frame()
f.writer = writers.hdf5writer
f.writer.verbosity = 0
filename = os.path.join(f.writer.datadir, "test.out")
f.writer.write(f, 0, True, filename=filename)
assert os.path.isfile(filename)
with pytest.raises(RuntimeError):
f.writer.write(f, 0, False, filename=filename)
os.remove(filename)
f.writer.overwrite = True
f.writer.dumping = False
f.writer.verbosity = 1
f.writer.write(f, 0, False, filename=filename)
assert os.path.isfile(filename)
shutil.rmtree(f.writer.datadir)
def test_field_repr_str():
f = Frame()
fi = Field(f, [0., 0.])
assert isinstance(repr(fi), str)
assert isinstance(str(fi), str)
fi = Field(f, 0., constant=True)
assert isinstance(repr(fi), str)
assert isinstance(str(fi), str)
def test_field_attributes():
f = Frame()
fi = Field(f, 1.)
with pytest.raises(TypeError):
fi.constant = "_"
with pytest.raises(TypeError):
fi.save = "_"
with pytest.raises(RuntimeError):
fi.buffer = None
def test_instruction_wrong_step_factor():
f = Frame()
fi = Field(f, 0.)
with pytest.raises(TypeError):
i = Instruction(schemes.expl_1_euler, fi, fstep=None)
with pytest.raises(ValueError):
i = Instruction(schemes.expl_1_euler, fi, fstep=0.)
with pytest.raises(ValueError):
i = Instruction(schemes.expl_1_euler, fi, fstep=1.1)
def test_hdf5writer_skip():
f = Frame()
f.writer = writers.hdf5writer()
f.addfield("x", 0., save=False)
f.writeoutput(0)
with pytest.raises(KeyError):
x = f.writer.read.sequence("x")
shutil.rmtree(f.writer.datadir)
def test_intvar_update():
f = Frame()
intv = IntVar(f, 1.)
def dx(f):
return 1.
intv.updater = dx
assert intv.update() == None
assert intv == 1.
def test_hdf5writer_dict():
f = Frame()
f.n = {1: 1}
f.writer = writers.hdf5writer()
with pytest.raises(NotImplementedError):
f.writeoutput(0)
shutil.rmtree(f.writer.datadir)
def test_simple():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return 1.
f.x.updater = dx
f.x.snapshots = [1.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.expl_1_euler, f.Y)]
f.run()
assert f.Y == 0.
assert f.x.prevstepsize == 1.
def test_intvar_suggest():
f = Frame()
intv = IntVar(f, 0.)
with pytest.raises(RuntimeError):
intv.suggested
with pytest.raises(ValueError):
intv.suggest(-1.)
intv.suggest(1.)
assert intv.suggested == 1.
intv.suggest(2.)
assert intv.suggested == 1.
intv.suggest(2., reset=True)
assert intv.suggested == 2.
def test_frame_attributes():
f = Frame()
with pytest.raises(TypeError):
f.integrator = 1
with pytest.raises(TypeError):
f.progressbar = 1
f.progressbar = Progressbar()
with pytest.raises(TypeError):
f.verbosity = "_"
with pytest.raises(TypeError):
f.writer = "_"
def test_heartbeat_order():
f = Frame()
f.addfield("x", 1.)
f.addfield("y", 2.)
f.addfield("z", 3.)
def sys(f):
f.x = f.y * f.z
def upd(f):
f.y = f.z * f.x
def dia(f):
f.z = f.x * f.y
f.updater = Heartbeat(updater=upd, systole=sys, diastole=dia)
f.update()
assert f.x == 6.
assert f.y == 18.
assert f.z == 108.
def test_namespacewriter_read_sequence():
f = Frame()
f.addfield("Y", [1., 0])
f.addfield("x", 0, save=False)
f.writer = writers.namespacewriter()
f.writer.write(f)
with pytest.raises(TypeError):
f.writer.read.sequence(1)
with pytest.raises(RuntimeError):
f.writer.read.sequence("x")
Y = f.writer.read.sequence("Y")
assert np.all(Y == [1., 0.])
f.writer.reset()
def test_expl_1_euler():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.expl_1_euler, f.Y)]
f.run()
assert np.allclose(f.Y, 2.656139888758694e-05)
def test_expl_2_heun():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.expl_2_heun, f.Y)]
f.run()
assert np.allclose(f.Y, 4.6222977814657625e-05)
def test_adaptive_update():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(100.)
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.expl_5_cash_karp_adptv, f.Y),
Instruction(schemes.update, f.Y)]
f.run()
assert f.Y == 5.34990702474703e-3
def test_impl_1_euler_gmres():
f = Frame()
f.addfield("Y", 1.)
def jac(f, x):
return np.array([-1.])
f.Y.jacobinator = jac
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.impl_1_euler_gmres, f.Y)]
f.run()
assert np.allclose(f.Y, 7.256571590148018e-05)
def test_expl_4_runge_kutta():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(schemes.expl_4_runge_kutta, f.Y)]
f.run()
assert np.allclose(f.Y, 4.540034101629485e-05)
def test_adaptive_fail():
f = Frame()
f.addfield("Y", 1.)
def dYdx(f, x, Y):
return -Y
f.Y.differentiator = dYdx
f.addintegrationvariable("x", 0.)
def dx(f):
return f.x.suggested
f.x.updater = dx
f.x.snapshots = [10.]
f.x.suggest(100.)
f.integrator = Integrator(f.x)
f.integrator.instructions = [Instruction(
schemes.expl_5_cash_karp_adptv, f.Y)]
f.integrator.maxit = 1
with pytest.raises(StopIteration):
f.run()
def test_impl_2_midpoint_direct():
f = Frame()
f.addfield("Y", 1.)
def jac(f, x):
return np.array([-1.])
f.Y.jacobinator = jac
f.addintegrationvariable("x", 0.)
def dx(f):
return 0.1
f.x.updater = dx
f.x.snapshots = [10.]
f.integrator = Integrator(f.x)
f.integrator.instructions = [
Instruction(schemes.impl_2_midpoint_direct, f.Y)
]
f.run()
assert np.allclose(f.Y, 4.5022605238147066e-05)
def test_hdf5writer_list():
f = Frame()
f.n = [1, 1]
f.writer = writers.hdf5writer()
f.writeoutput(0)
f.writeoutput(1)
data0000 = f.writer.read.output(0)
assert np.all(data0000.n == [1, 1])
n = f.writer.read.sequence("n")
assert np.all(n == [[1, 1], [1, 1]])
data = f.writer.read.all()
assert np.all(data.n == [[1, 1], [1, 1]])
shutil.rmtree(f.writer.datadir)
