def test_lax_slice(self):
self.check(lambda x: lax.slice(x, (1,), (x.shape[0],)), ['n'], 'n+-1',
{'n': 2}, [(3,)], ['float_'], jtu.rand_default(self.rng()))
# TODO self.check(lambda x: lax.slice(x, (x.shape[0] // 2,), (x.shape[0],)),
# ['2*n'], 'n', {'n': 2}, [(6,)], ['float_'], jtu.rand_default(self.rng()))
self.check(lambda x: lax.slice(x, (0,), (x.shape[0],), (x.shape[0],)),
['n'], '1', {'n': 2}, [(5,)], ['float_'],
jtu.rand_default(self.rng()))
def test_lax_slice(self):
raise SkipTest("Failing after fixing Poly unsoundness #4878")
self.check(lambda x: lax.slice(x, (1,), (x.shape[0],)), ['n'], 'n+-1',
{'n': 2}, [(3,)], ['float_'], jtu.rand_default(self.rng()))
# TODO self.check(lambda x: lax.slice(x, (x.shape[0] // 2,), (x.shape[0],)),
# ['2*n'], 'n', {'n': 2}, [(6,)], ['float_'], jtu.rand_default(self.rng()))
self.check(lambda x: lax.slice(x, (0,), (x.shape[0],), (x.shape[0],)),
['n'], '1', {'n': 2}, [(5,)], ['float_'],
jtu.rand_default(self.rng()))
class JAX2DexTest(unittest.TestCase):
test_sin = lax_test(lax.sin, lambda: (rn(10, 10), ))
test_cos = lax_test(lax.cos, lambda: (rn(10, 10), ))
test_neg = lax_test(lax.neg, lambda: (rn(10, 10), ))
test_log = lax_test(lax.log, lambda: (rn(10, 10), ))
test_exp = lax_test(lax.exp, lambda: (rn(10, 10), ))
test_pow = lax_test(lax.pow, lambda:
(rn(10), jnp.arange(10, dtype=np.float32)))
test_integer_pow = lax_test(lambda x: lax.integer_pow(x, 2), lambda:
(rn(10, 10), ))
test_scalar_select_lt = lax_test(lambda i, x, y: lax.select(i < 2.0, x, y),
lambda: (1.0, rn(10), rn(10)))
test_squeeze_none = lax_test(lambda x: lax.squeeze(x, []), lambda:
(rn(10, 10), ))
test_squeeze_one = lax_test(lambda x: lax.squeeze(x, [1]), lambda:
(rn(10, 1, 10), ))
test_squeeze_two = lax_test(lambda x: lax.squeeze(x, [0, 2]), lambda:
(rn(1, 10, 1), ))
test_squeeze_all = lax_test(lambda x: lax.squeeze(x, [0, 1]), lambda:
(rn(1, 1), ))
test_slice_1d = lax_test(lambda x: lax.slice(x, [2], [5], None), lambda:
(rn(10), ))
test_slice_3d = lax_test(
lambda x: lax.slice(x, [2, 0, 0], [5, 10, 2], None), lambda:
(rn(10, 10, 2), ))
test_concat_uniform = lax_test(partial(lax.concatenate, dimension=0),
lambda: ([rn(4, 2) for _ in range(3)], ))
test_concat_ragged = lax_test(
partial(lax.concatenate, dimension=0), lambda:
([rn(1, 2, 4), rn(5, 2, 4), rn(2, 2, 4)], ))
test_dot_general_matmul = lax_test(
partial(lax.dot_general, dimension_numbers=(((1, ), (0, )), ((), ()))),
lambda: (rn(4, 8), rn(8, 16)))
test_dot_general_matvec = lax_test(
partial(lax.dot_general, dimension_numbers=(((1, ), (0, )), ((), ()))),
lambda: (rn(4, 8), rn(8)))
def test_canonicalize_dtype(self):
c = np.arange(5, dtype=np.float64)
f = lambda x: x * c
x = np.ones(5, dtype=np.float64)
dy = dexjit(f)(x)
jy = jax.jit(f)(x)
np.testing.assert_allclose(dy, jy)
self.assertEqual(dy.dtype, jy.dtype)
def split(ary, indices_or_sections, axis=0):
dummy_val = onp.broadcast_to(0, ary.shape) # zero strides
subarrays = onp.split(dummy_val, indices_or_sections, axis) # shapes
split_indices = onp.cumsum([0] + [onp.shape(sub)[axis] for sub in subarrays])
starts, ends = [0] * ndim(ary), shape(ary)
_subval = lambda x, i, v: lax.subvals(x, [(i, v)])
return [lax.slice(ary, _subval(starts, axis, start), _subval(ends, axis, end))
for start, end in zip(split_indices[:-1], split_indices[1:])]
def testSliceLax(self):
fun = lambda x: lax.slice(x, (2,), (4,))
R = np.random.RandomState(0).randn
x = R(5, 10)
ans = vmap(fun)(x)
expected_ans = x[:, 2:4]
self.assertAllClose(ans, expected_ans, check_dtypes=False)
def _matrix_take(ndarray, idx, block_size=1):
"""Similar to numpy.take using LAX operations."""
idx_i, idx_j = idx
sli, row_rev = _canonical_idx(ndarray.shape, idx_i, -2, block_size)
slj, col_rev = _canonical_idx(ndarray.shape, idx_j, -1, block_size)
start_indices = [0] * (ndarray.ndim - 2) + [sli.start, slj.start]
limit_indices = list(ndarray.shape[:-2]) + [sli.stop, slj.stop]
strides = [1] * (ndarray.ndim - 2) + [sli.step, slj.step]
out = lax.slice(ndarray, start_indices, limit_indices, strides)
if row_rev or col_rev:
out = lax.rev(out, *onp.where([row_rev, col_rev]))
return out
def slice_dependency_rule(outstart, outcount, operand, start_indices,
limit_indices, strides):
out_shape = np.asarray(outcount.shape)
if strides is None:
inbox = start_indices + outstart, out_shape
return [inbox], [np.ones(inbox[1], int)], lambda inslice: inslice
else:
strides = np.asarray(strides)
inbox = (start_indices + outstart * strides,
(out_shape - 1) * strides + 1)
count = np.zeros(inbox[1], int)
count_slice = tuple(slice(None, None, s) for s in strides)
count[count_slice] = 1
return ([inbox], [count], lambda inslice: lax.slice(
inslice, np.zeros_like(strides), inslice.shape, strides))
def onnx_split(x, split=None, axis=0, n_out=None):
if split is None:
split = [x.shape[axis] // n_out] * n_out
starts = []
ends = []
starts.append([0] * x.ndim)
for idx in range(1, n_out):
st = [0] * x.ndim
st[axis] = sum(split[:idx])
starts.append(st)
en = list(x.shape)
en[axis] = sum(split[:idx])
ends.append(en)
ends.append(list(x.shape))
return [lax.slice(x, start, end) for start, end in zip(starts, ends)]
def _update_slice(operand, update, start_indices, update_dims):
"""
Similar to lax.dynamic_update_slice, but handles padded updates where padding
values should not overwrite existing values in the array.
Args:
operand: the array to update
update: the padded array to write
start_indices: the offset at which to write `update`.
update_dims: the true dimensions of the padded update `update`. Only values
inside the rectangle given by `update_dims` will be overwritten."""
operand_shape = operand.shape
operand = lax.pad(operand, jnp.array(0, operand.dtype),
[(0, d, 0) for d in update.shape])
start_indices = tuple(jnp.int32(i) for i in start_indices)
t = lax.dynamic_slice(operand, start_indices, update.shape)
t = _mask(update, update_dims, t)
operand = lax.dynamic_update_slice(operand, t, start_indices)
return lax.slice(operand, [0] * operand.ndim, operand_shape)
def thunk():
if primitive.multiple_results:
raise NotImplementedError
# TODO (j-towns): add option to disable this assert statement
assert np.all(getbox(arr.state, box) == REQUESTED), \
'Repeated computation detected'
invals_ = [
val.cache if isinstance(val, LazyArray) else jnp.asarray(val)
for val in invals
]
inslices = [
None if ibox is None else lax.slice(inval, ibox[0],
np.add(ibox[0], ibox[1]))
for inval, ibox, count in zip(invals_, inboxes, counts)
]
outslice = outslice_from_inslices(*inslices)
outstart, _ = box
arr.cache = inplace_dynamic_update_slice(arr.cache, outslice, outstart)
setbox(arr.state, box, KNOWN)
def _use_qr(u, m, n, params):
"""QDWH iteration using QR decomposition.
Args:
u: a matrix, with static (padded) shape M x N.
m, n: the dynamic shape of the matrix, where m <= M and n <= N.
params: the QDWH parameters.
"""
a, b, c = params
M, N = u.shape
y = _dynamic_concat(jnp.sqrt(c) * u, jnp.eye(N, dtype=jnp.dtype(u)), m)
q, _ = lax_linalg.qr(y, full_matrices=False)
# q1 = q[:m, :]
q1 = _mask(lax.slice(q, (0, 0), (M, N)), (m, n))
# q2 = (q[m:, :]).T.conj()
q2 = lax.dynamic_slice_in_dim(q, m, N, axis=0)
q2 = _mask(q2, (n, n)).T.conj()
e = b / c
u = (e * u + (a - e) / jnp.sqrt(c) * jnp.einsum('ij,jk->ik', q1, q2))
return u
def test_slice(shape, dtype, starts, limits, strides, rng_factory):
rng = rng_factory(np.random)
args = [rng(shape, dtype)]
op = lambda x: lax.slice(x, starts, limits, strides)
tu.check_lazy_fun(op, *args)
def testSlice(self, shape, dtype, starts, limits, strides, bdims):
rng = jtu.rand_default(self.rng())
op = lambda x: lax.slice(x, starts, limits, strides)
self._CheckBatching(op, 5, bdims, (shape, ), (dtype, ), rng)
def fixed_point(x):
first_row = np.concatenate(
[np.array([[1.]]), 2 * lax.slice(x, [0, 0], [1, 3])], -1)
second_row = np.concatenate([lax.slice(first_row, [0, 2], [1, 4]),
np.array([[3., 4]])], -1)
return np.concatenate([first_row, second_row], 0)
_make_harness("jnp_squeeze", "axis=1",
jnp.squeeze,
[RandArg((4, 1), _f32), StaticArg((1,))],
poly_axes=[0]),
_make_harness("scatter_add", "",
partial(lax.scatter_add, indices_are_sorted=False, unique_indices=True),
[RandArg((7, 4), _f32),
np.array([[1], [2]], np.int32), # indices
RandArg((7, 2), _f32), # upd
StaticArg(lax.ScatterDimensionNumbers((0,), (1,), (1,)))],
poly_axes=[0, None, 0]),
_make_harness("slice", "entire_axis",
lambda x: lax.slice(x, start_indices=(0, 1), limit_indices=(x.shape[0], 3)),
[RandArg((7, 3), _f32)],
poly_axes=[0]),
_make_harness("select", "0",
# x.shape = (b, 3)
lambda x: lax.select(x > 5., x, x),
[RandArg((7, 3), _f32)],
poly_axes=[0]),
_make_harness("select", "1",
# x.shape = (b, 3); y.shape = (3,)
jax.vmap(lambda x, y: lax.select(x > 5., x, y), in_axes=[0, None]),
[RandArg((7, 3), _f32), RandArg((3,), _f32)],
poly_axes=[0, None]),
def f_jax(x): # x.shape = (b, 3)
return lax.slice(x,
start_indices=(0, 1),
limit_indices=(x.shape[0], 3))
def test_lax_slice(self):
self.check(lambda x: lax.slice(x, (1, ), (x.shape[0], )), ['n'],
'n+-1', {'n': 2}, [(3, )], ['float_'],
jtu.rand_default(self.rng()))
def testSliceGrad(self, shape, dtype, starts, limits, strides, rng_factory): rng = rng_factory(self.rng()) operand = rng(shape, dtype) slice = lambda x: lax.slice(x, starts, limits, strides) check_grads(slice, (operand,), 2, ["fwd", "rev"], eps=1.)
def testSlice(self, shape, dtype, starts, limits, strides, bdims,
rng_factory):
rng = rng_factory(self.rng())
op = lambda x: lax.slice(x, starts, limits, strides)
self._CheckBatching(op, 5, bdims, (shape, ), (dtype, ), rng)
def fixed_point(x): return np.concatenate([np.array([1.]), 2 * lax.slice(x, [0], [3])])
