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In some environments this appears to import the config module rather than the config object.
128 lines
4.3 KiB
Python
128 lines
4.3 KiB
Python
# Copyright 2019 The JAX Authors.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# https://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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from functools import partial
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import numpy as np
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from scipy.sparse import csgraph, csr_matrix
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from absl.testing import absltest
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import jax
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from jax._src import dtypes
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from jax import numpy as jnp
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from jax._src import test_util as jtu
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jax.config.parse_flags_with_absl()
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all_dtypes = jtu.dtypes.floating + jtu.dtypes.integer + jtu.dtypes.complex
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# TODO: these tests fail without fixed PRNG seeds.
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class TestPolynomial(jtu.JaxTestCase):
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def assertSetsAllClose(self, x, y, rtol=None, atol=None, check_dtypes=True):
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"""Assert that x and y contain permutations of the same approximate set of values.
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For non-complex inputs, this is accomplished by comparing the sorted inputs.
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For complex, such an approach can be confounded by numerical errors. In this case,
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we compute the structural rank of the pairwise comparison matrix: if the structural
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rank is full, it implies that the matrix can be permuted so that the diagonal is
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non-zero, which implies a one-to-one approximate match between the permuted sets.
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"""
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x = np.asarray(x).ravel()
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y = np.asarray(y).ravel()
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atol = max(jtu.tolerance(x.dtype, atol), jtu.tolerance(y.dtype, atol))
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rtol = max(jtu.tolerance(x.dtype, rtol), jtu.tolerance(y.dtype, rtol))
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if not (np.issubdtype(x.dtype, np.complexfloating) or
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np.issubdtype(y.dtype, np.complexfloating)):
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return self.assertAllClose(np.sort(x), np.sort(y), atol=atol, rtol=rtol,
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check_dtypes=check_dtypes)
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if check_dtypes:
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self.assertEqual(x.dtype, y.dtype)
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self.assertEqual(x.size, y.size)
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pairwise = np.isclose(x[:, None], x[None, :],
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atol=atol, rtol=rtol, equal_nan=True)
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rank = csgraph.structural_rank(csr_matrix(pairwise))
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self.assertEqual(rank, x.size)
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@jtu.sample_product(
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dtype=all_dtypes,
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length=[0, 3, 5],
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leading=[0, 2],
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trailing=[0, 2],
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)
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# TODO(phawkins): no nonsymmetric eigendecomposition implementation on GPU.
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@jtu.run_on_devices("cpu")
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def testRoots(self, dtype, length, leading, trailing):
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rng = jtu.rand_some_zero(self.rng())
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def args_maker():
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p = rng((length,), dtype)
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return [jnp.concatenate(
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[jnp.zeros(leading, p.dtype), p, jnp.zeros(trailing, p.dtype)])]
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jnp_fun = jnp.roots
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def np_fun(arg):
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return np.roots(arg).astype(dtypes.to_complex_dtype(arg.dtype))
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# Note: outputs have no defined order, so we need to use a special comparator.
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args = args_maker()
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np_roots = np_fun(*args)
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jnp_roots = jnp_fun(*args)
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self.assertSetsAllClose(np_roots, jnp_roots)
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@jtu.sample_product(
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dtype=all_dtypes,
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length=[0, 3, 5],
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leading=[0, 2],
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trailing=[0, 2],
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)
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# TODO(phawkins): no nonsymmetric eigendecomposition implementation on GPU.
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@jtu.run_on_devices("cpu")
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def testRootsNoStrip(self, dtype, length, leading, trailing):
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rng = jtu.rand_some_zero(self.rng())
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def args_maker():
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p = rng((length,), dtype)
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return [jnp.concatenate(
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[jnp.zeros(leading, p.dtype), p, jnp.zeros(trailing, p.dtype)])]
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jnp_fun = partial(jnp.roots, strip_zeros=False)
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def np_fun(arg):
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roots = np.roots(arg).astype(dtypes.to_complex_dtype(arg.dtype))
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if len(roots) < len(arg) - 1:
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roots = np.pad(roots, (0, len(arg) - len(roots) - 1),
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constant_values=complex(np.nan, np.nan))
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return roots
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# Note: outputs have no defined order, so we need to use a special comparator.
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args = args_maker()
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np_roots = np_fun(*args)
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jnp_roots = jnp_fun(*args)
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self.assertSetsAllClose(np_roots, jnp_roots)
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self._CompileAndCheck(jnp_fun, args_maker)
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if __name__ == "__main__":
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absltest.main(testLoader=jtu.JaxTestLoader())
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