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diff --git a/tests/test_pyhegp.py b/tests/test_pyhegp.py
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+### pyhegp --- Homomorphic encryption of genotypes and phenotypes
+### Copyright © 2025 Arun Isaac <arunisaac@systemreboot.net>
+###
+### This file is part of pyhegp.
+###
+### pyhegp is free software: you can redistribute it and/or modify it
+### under the terms of the GNU General Public License as published by
+### the Free Software Foundation, either version 3 of the License, or
+### (at your option) any later version.
+###
+### pyhegp is distributed in the hope that it will be useful, but
+### WITHOUT ANY WARRANTY; without even the implied warranty of
+### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+### General Public License for more details.
+###
+### You should have received a copy of the GNU General Public License
+### along with pyhegp. If not, see <https://www.gnu.org/licenses/>.
+
+from hypothesis import given, settings, strategies as st
+from hypothesis.extra.numpy import arrays, array_shapes
+import numpy as np
+from pytest import approx
+
+from pyhegp.pyhegp import hegp_encrypt, hegp_decrypt, random_key
+
+@given(st.one_of(
+    arrays("int32",
+           array_shapes(min_dims=2, max_dims=2, min_side=2, max_side=200),
+           elements=st.integers(min_value=0, max_value=2)),
+    # The array above is the only realistic input, but we test more
+    # kinds of inputs for good measure.
+    arrays("int32",
+           array_shapes(min_dims=2, max_dims=2, min_side=2, max_side=200),
+           elements=st.integers(min_value=0, max_value=100)),
+    arrays("float64",
+           array_shapes(min_dims=2, max_dims=2, min_side=2, max_side=200),
+           elements=st.floats(min_value=0, max_value=100)))
+)
+@settings(deadline=None)
+def test_hegp_encryption_decryption_are_inverses(plaintext):
+    rng = np.random.default_rng()
+    key = random_key(rng, len(plaintext))
+    # FIXME: We don't use maf at the moment.
+    maf = None
+    assert hegp_decrypt(hegp_encrypt(plaintext, maf, key), key) == approx(plaintext)