def setup_aut(xmax=15, ymax=15):
fol = _fol.Context()
fol.bdd.configure(reordering=True)
# CAUTION: remember that type hints (safety)
# needs to be added as care set
fol.declare(x=(0, xmax), y=(0, ymax))
x_vars = ['x', 'y']
p_table = lat._parameter_table(
x_vars, fol.vars, a_name='a', b_name='b')
q_table = lat._parameter_table(
x_vars, fol.vars, a_name='u', b_name='v')
fol.declare(**p_table)
fol.declare(**q_table)
px = lat._map_vars_to_parameters(
x_vars, a_name='a', b_name='b')
qx = lat._map_vars_to_parameters(
x_vars, a_name='u', b_name='v')
varmap = lat.parameter_varmap(px, qx)
p_to_q = lat._renaming_between_parameters(px, qx)
prm = lat.Parameters()
prm.x_vars = x_vars
prm.p_vars = set(p_table)
prm.q_vars = set(q_table)
prm.p_to_q = p_to_q
prm._px = px
prm._qx = qx
prm._varmap = varmap
return fol, prm
def setup_orthotope_vars():
fol = _fol.Context()
fol.declare(
x=(0, 5),
y=(2, 14),
px=(0, 5),
qx=(0, 5),
py=(2, 14),
qy=(2, 14),
ax=(0, 5),
bx=(0, 5),
ay=(2, 14),
by=(2, 14),
)
xvars = ['x', 'y']
px = dict(x=dict(a='px', b='qx'), y=dict(a='py', b='qy'))
qx = dict(x=dict(a='ax', b='bx'), y=dict(a='ay', b='by'))
prm = lat.Parameters()
prm.x_vars = xvars
prm._px = px
prm._qx = qx
prm.p_to_q = dict(px='ax', py='ay', qx='bx', qy='by')
prm.p_vars = set(prm.p_to_q)
prm.q_vars = set(prm.p_to_q.values())
varmap = lat.parameter_varmap(px, qx)
prm.p_leq_q = lat.subseteq(varmap, fol)
prm.p_eq_q = lat.eq(varmap, fol)
return fol, prm
def test_scaling_equality():
aut = _fol.Context()
x_vars = dict(x=(0, 10), y=(0, 15), z=(0, 15))
aut.declare(**x_vars)
params = dict(pa='a', pb='b', qa='u', qb='v')
p_dom = lat._parameter_table(x_vars,
aut.vars,
a_name=params['pa'],
b_name=params['pb'])
q_dom = lat._parameter_table(x_vars,
aut.vars,
a_name=params['qa'],
b_name=params['qb'])
aut.declare(**p_dom)
aut.declare(**q_dom)
px = lat._map_vars_to_parameters(x_vars,
a_name=params['pa'],
b_name=params['pb'])
qx = lat._map_vars_to_parameters(x_vars,
a_name=params['qa'],
b_name=params['qb'])
p_to_q = lat._renaming_between_parameters(px, qx)
x_as_x = {xj: dict(a=xj, b=xj) for xj in px}
varmap = lat.parameter_varmap(px, x_as_x)
log.info('Number of variables: {n}'.format(n=len(varmap)))
u = lat.subseteq(varmap, aut)
#
s = ('( '
'(z = 1 /\ y <= 0) \/ '
'(x = 0 /\ z = 1) \/ '
'(y >= 1 /\ x <= 0) \/ '
'(y >= 1 /\ z <= 0) \/ '
'(x >= 1 /\ z <= 0) \/ '
'(x >= 1 /\ y <= 0) '
') ')
f = aut.add_expr(s)
prm = lat.Parameters()
prm._px = px
lat.embed_as_implicants(f, prm, aut)
def setup_orthotope_vars():
fol = _fol.Context()
fol.declare(
x=(0, 5), y=(2, 14),
px=(0, 5), qx=(0, 5),
py=(2, 14), qy=(2, 14),
ax=(0, 5), bx=(0, 5),
ay=(2, 14), by=(2, 14),)
xvars = ['x', 'y']
px = dict(x=dict(a='px', b='qx'),
y=dict(a='py', b='qy'))
qx = dict(x=dict(a='ax', b='bx'),
y=dict(a='ay', b='by'))
prm = lat.Parameters()
prm.x_vars = xvars
prm._px = px
prm._qx = qx
prm.p_to_q = dict(px='ax', py='ay', qx='bx', qy='by')
prm.p_vars = set(prm.p_to_q)
prm.q_vars = set(prm.p_to_q.values())
varmap = lat.parameter_varmap(px, qx)
prm.p_leq_q = lat.subseteq(varmap, fol)
prm.p_eq_q = lat.eq(varmap, fol)
return fol, prm
def test_scaling_equality():
aut = _fol.Context()
x_vars = dict(x=(0, 10), y=(0, 15), z=(0, 15))
aut.declare(**x_vars)
params = dict(pa='a', pb='b', qa='u', qb='v')
p_dom = lat._parameter_table(
x_vars, aut.vars,
a_name=params['pa'], b_name=params['pb'])
q_dom = lat._parameter_table(
x_vars, aut.vars,
a_name=params['qa'], b_name=params['qb'])
aut.declare(**p_dom)
aut.declare(**q_dom)
px = lat._map_vars_to_parameters(
x_vars, a_name=params['pa'], b_name=params['pb'])
qx = lat._map_vars_to_parameters(
x_vars, a_name=params['qa'], b_name=params['qb'])
p_to_q = lat._renaming_between_parameters(px, qx)
x_as_x = {xj: dict(a=xj, b=xj) for xj in px}
varmap = lat.parameter_varmap(px, x_as_x)
log.info('Number of variables: {n}'.format(n=len(varmap)))
u = lat.subseteq(varmap, aut)
#
s = (
'( '
'(z = 1 /\ y <= 0) \/ '
'(x = 0 /\ z = 1) \/ '
'(y >= 1 /\ x <= 0) \/ '
'(y >= 1 /\ z <= 0) \/ '
'(x >= 1 /\ z <= 0) \/ '
'(x >= 1 /\ y <= 0) '
') ')
f = aut.add_expr(s)
prm = lat.Parameters()
prm._px = px
lat.embed_as_implicants(f, prm, aut)
def test_parameter_varmap():
px, qx = dummy_parameters()
d = lat.parameter_varmap(px, qx)
d_ = {('a_x', 'b_x'): ('u_x', 'v_x'),
('a_y', 'b_y'): ('u_y', 'v_y')}
assert d == d_, (d, d_)