def test_bad_size(self):
R = MRG_RandomStream(234)
for size in [
(0, 100),
(-1, 100),
(1, 0),
]:
with pytest.raises(ValueError):
R.uniform(size)
with pytest.raises(ValueError):
R.binomial(size)
with pytest.raises(ValueError):
R.multinomial(size, 1, [])
with pytest.raises(ValueError):
R.normal(size)
with pytest.raises(ValueError):
R.truncated_normal(size)
def test_target_parameter():
srng = MRG_RandomStream()
pvals = np.array([[0.98, 0.01, 0.01], [0.01, 0.49, 0.50]])
def basic_target_parameter_test(x):
f = function([], x)
assert isinstance(f(), np.ndarray)
basic_target_parameter_test(srng.uniform((3, 2), target="cpu"))
basic_target_parameter_test(srng.normal((3, 2), target="cpu"))
basic_target_parameter_test(srng.truncated_normal((3, 2), target="cpu"))
basic_target_parameter_test(srng.binomial((3, 2), target="cpu"))
basic_target_parameter_test(
srng.multinomial(pvals=pvals.astype("float32"), target="cpu"))
basic_target_parameter_test(
srng.choice(p=pvals.astype("float32"), replace=False, target="cpu"))
basic_target_parameter_test(
srng.multinomial_wo_replacement(pvals=pvals.astype("float32"),
target="cpu"))
def test_normal_truncation():
# just a copy of test_normal0 with extra bound check
steps = 50
std = 2.0
# standard deviation is slightly less than for a regular Gaussian
# constant taken from scipy.stats.truncnorm.std(a=-2, b=2, loc=0., scale=1.)
target_std = 0.87962566103423978 * std
if (config.mode in ("DEBUG_MODE", "DebugMode", "FAST_COMPILE")
or config.mode == "Mode" and config.linker in ["py"]):
sample_size = (25, 30)
default_rtol = 0.02
else:
sample_size = (999, 50)
default_rtol = 0.01
sample_size_odd = (sample_size[0], sample_size[1] - 1)
x = matrix()
test_cases = [
(sample_size, sample_size, [], [], -5.0, default_rtol, default_rtol),
(
x.shape,
sample_size,
[x],
[np.zeros(sample_size, dtype=config.floatX)],
-5.0,
default_rtol,
default_rtol,
),
# test odd value
(
x.shape,
sample_size_odd,
[x],
[np.zeros(sample_size_odd, dtype=config.floatX)],
-5.0,
default_rtol,
default_rtol,
),
(
sample_size,
sample_size,
[],
[],
np.arange(np.prod(sample_size),
dtype="float32").reshape(sample_size),
10.0 * std / np.sqrt(steps),
default_rtol,
),
# test empty size (scalar)
((), (), [], [], -5.0, default_rtol, 0.02),
# test with few samples at the same time
((1, ), (1, ), [], [], -5.0, default_rtol, 0.02),
((3, ), (3, ), [], [], -5.0, default_rtol, 0.02),
]
for size, const_size, var_input, input, avg, rtol, std_tol in test_cases:
R = MRG_RandomStream(234)
# Note: we specify `nstreams` to avoid a warning.
n = R.normal(
size=size,
avg=avg,
std=std,
truncate=True,
nstreams=rng_mrg.guess_n_streams(size, warn=False),
)
f = function(var_input, n)
# check if truncated at 2*std
samples = f(*input)
assert np.all(
avg + 2 * std - samples >= 0), "bad upper bound? {} {}".format(
samples,
avg + 2 * std,
)
assert np.all(samples -
(avg - 2 * std) >= 0), "bad lower bound? {} {}".format(
samples,
avg - 2 * std,
)
# Increase the number of steps if size implies only a few samples
if np.prod(const_size) < 10:
steps_ = steps * 50
else:
steps_ = steps
check_basics(
f,
steps_,
const_size,
target_avg=avg,
target_std=target_std,
prefix="mrg ",
allow_01=True,
inputs=input,
mean_rtol=rtol,
std_tol=std_tol,
)
sys.stdout.flush()
def test_normal0():
steps = 50
std = 2.0
if (config.mode in ("DEBUG_MODE", "DebugMode", "FAST_COMPILE")
or config.mode == "Mode" and config.linker in ["py"]):
sample_size = (25, 30)
default_rtol = 0.02
else:
sample_size = (999, 50)
default_rtol = 0.01
sample_size_odd = (sample_size[0], sample_size[1] - 1)
x = matrix()
test_cases = [
(sample_size, sample_size, [], [], -5.0, default_rtol, default_rtol),
(
x.shape,
sample_size,
[x],
[np.zeros(sample_size, dtype=config.floatX)],
-5.0,
default_rtol,
default_rtol,
),
# test odd value
(
x.shape,
sample_size_odd,
[x],
[np.zeros(sample_size_odd, dtype=config.floatX)],
-5.0,
default_rtol,
default_rtol,
),
(
sample_size,
sample_size,
[],
[],
np.arange(np.prod(sample_size),
dtype="float32").reshape(sample_size),
10.0 * std / np.sqrt(steps),
default_rtol,
),
# test empty size (scalar)
((), (), [], [], -5.0, default_rtol, 0.02),
# test with few samples at the same time
((1, ), (1, ), [], [], -5.0, default_rtol, 0.02),
((3, ), (3, ), [], [], -5.0, default_rtol, 0.02),
]
for size, const_size, var_input, input, avg, rtol, std_tol in test_cases:
R = MRG_RandomStream(234)
# Note: we specify `nstreams` to avoid a warning.
n = R.normal(
size=size,
avg=avg,
std=std,
nstreams=rng_mrg.guess_n_streams(size, warn=False),
)
f = function(var_input, n)
f(*input)
# Increase the number of steps if size implies only a few samples
if np.prod(const_size) < 10:
steps_ = steps * 50
else:
steps_ = steps
check_basics(
f,
steps_,
const_size,
target_avg=avg,
target_std=std,
prefix="mrg ",
allow_01=True,
inputs=input,
mean_rtol=rtol,
std_tol=std_tol,
)
sys.stdout.flush()
RR = RandomStream(235)
nn = RR.normal(avg, std, size=size)
ff = function(var_input, nn)
check_basics(
ff,
steps_,
const_size,
target_avg=avg,
target_std=std,
prefix="numpy ",
allow_01=True,
inputs=input,
mean_rtol=rtol,
)
def test_undefined_grad():
srng = MRG_RandomStream(seed=1234)
# checking uniform distribution
low = scalar()
out = srng.uniform((), low=low)
with pytest.raises(NullTypeGradError):
grad(out, low)
high = scalar()
out = srng.uniform((), low=0, high=high)
with pytest.raises(NullTypeGradError):
grad(out, high)
out = srng.uniform((), low=low, high=high)
with pytest.raises(NullTypeGradError):
grad(out, (low, high))
# checking binomial distribution
prob = scalar()
out = srng.binomial((), p=prob)
with pytest.raises(NullTypeGradError):
grad(out, prob)
# checking multinomial distribution
prob1 = scalar()
prob2 = scalar()
p = [as_tensor_variable([prob1, 0.5, 0.25])]
out = srng.multinomial(size=None, pvals=p, n=4)[0]
with pytest.raises(NullTypeGradError):
grad(at_sum(out), prob1)
p = [as_tensor_variable([prob1, prob2])]
out = srng.multinomial(size=None, pvals=p, n=4)[0]
with pytest.raises(NullTypeGradError):
grad(at_sum(out), (prob1, prob2))
# checking choice
p = [as_tensor_variable([prob1, prob2, 0.1, 0.2])]
out = srng.choice(a=None, size=1, p=p, replace=False)[0]
with pytest.raises(NullTypeGradError):
grad(out[0], (prob1, prob2))
p = [as_tensor_variable([prob1, prob2])]
out = srng.choice(a=None, size=1, p=p, replace=False)[0]
with pytest.raises(NullTypeGradError):
grad(out[0], (prob1, prob2))
p = [as_tensor_variable([prob1, 0.2, 0.3])]
out = srng.choice(a=None, size=1, p=p, replace=False)[0]
with pytest.raises(NullTypeGradError):
grad(out[0], prob1)
# checking normal distribution
avg = scalar()
out = srng.normal((), avg=avg)
with pytest.raises(NullTypeGradError):
grad(out, avg)
std = scalar()
out = srng.normal((), avg=0, std=std)
with pytest.raises(NullTypeGradError):
grad(out, std)
out = srng.normal((), avg=avg, std=std)
with pytest.raises(NullTypeGradError):
grad(out, (avg, std))
# checking truncated normal distribution
avg = scalar()
out = srng.truncated_normal((), avg=avg)
with pytest.raises(NullTypeGradError):
grad(out, avg)
std = scalar()
out = srng.truncated_normal((), avg=0, std=std)
with pytest.raises(NullTypeGradError):
grad(out, std)
out = srng.truncated_normal((), avg=avg, std=std)
with pytest.raises(NullTypeGradError):
grad(out, (avg, std))
