diff --git a/tests/test_trivial.py b/tests/test_trivial.py
new file mode 100644
index 0000000..fb0c83e
--- /dev/null
+++ b/tests/test_trivial.py
@@ -0,0 +1,188 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+import functools
+import pytest
+from checkpoint_schedules.schedule import \
+    Forward, Reverse, Copy, Move, EndForward, EndReverse, StorageType
+from checkpoint_schedules import SingleDiskStorageSchedule, \
+    SingleMemoryStorageSchedule
+
+
+def single_disk_copy(n):
+    checkpointing = SingleDiskStorageSchedule()
+    return (checkpointing,
+            {StorageType.RAM: 0, StorageType.DISK: n}, 1)
+
+
+def single_disk_move(n):
+    checkpointing = SingleDiskStorageSchedule(move_data=True)
+    return (checkpointing,
+            {StorageType.RAM: 0, StorageType.DISK: n}, 1)
+
+
+def single_memory(n):
+    checkpointing = SingleMemoryStorageSchedule()
+    return (checkpointing,
+            {StorageType.RAM: 0, StorageType.DISK: 0}, n)
+
+
+@pytest.mark.parametrize(
+    "schedule",
+    [
+     single_disk_copy,
+     single_disk_move,
+     single_memory,
+     ]
+     )
+def test_validity(schedule, n=10):
+    """Test the checkpoint revolvers.
+
+    Parameters
+    ----------
+    schedule : object
+        Revolver schedule.
+    n : int
+        Total forward steps.
+    S : int
+        Snapshots.
+    """
+    @functools.singledispatch
+    def action(cp_action):
+        raise TypeError("Unexpected action")
+
+    @action.register(Forward)
+    def action_forward(cp_action):
+        nonlocal model_n
+        # Start at the current location of the forward
+        assert model_n is not None and model_n == cp_action.n0
+
+        assert cp_action.storage == StorageType.WORK or \
+            cp_action.storage == StorageType.DISK
+        # If the schedule has been finalized, end at or before the end of the
+        # forward
+        assert cp_schedule.max_n is None or cp_action.n1 <= n
+        if cp_schedule.max_n is not None:
+            # Do not advance further than the current location of the adjoint
+            assert cp_action.n1 <= n - model_r
+
+        n1 = min(cp_action.n1, n)
+
+        model_n = n1
+        data.clear()
+        assert not cp_action.write_ics
+        assert cp_action.write_adj_deps is True
+        assert len(data.intersection(range(cp_action.n0, n1))) == 0
+        if cp_action.storage == StorageType.DISK:
+            for step in range(cp_action.n0, n1):
+                data.update(range(step, step + 1))
+                snapshots[cp_action.storage][step] = (set(ics), set(data))
+                data.clear()
+            assert cp_action.n0 == min(snapshots[cp_action.storage])
+        else:
+            data.update(range(cp_action.n0, n1))
+            assert cp_action.n0 == min(data)
+
+        assert len(ics) == 0
+
+        if n1 == n:
+            cp_schedule.finalize(n1)
+
+    @action.register(Reverse)
+    def action_reverse(cp_action):
+        nonlocal model_r
+
+        # Start at the current location of the adjoint
+        assert cp_action.n1 == n - model_r
+        # Advance at least one step
+        assert cp_action.n0 < cp_action.n1
+        # Non-linear dependency data for these steps is stored
+        assert data.issuperset(range(cp_action.n0, cp_action.n1))
+
+        model_r += cp_action.n1 - cp_action.n0
+        if cp_action.clear_adj_deps:
+            data.clear()
+
+    @action.register(Copy)
+    def action_copy(cp_action):
+        nonlocal model_n
+        # The checkpoint exists
+        assert cp_action.n in snapshots[cp_action.from_storage]
+        cp = snapshots[cp_action.from_storage][cp_action.n]
+
+        # No data is currently stored for this step
+        assert cp_action.n not in ics
+        assert cp_action.n not in data
+
+        # The checkpoint contains forward data
+        assert len(cp[0]) == 0 and len(cp[1]) > 0
+
+        # The checkpoint data is before the current location of the adjoint
+        assert cp_action.n < n - model_r
+        model_n = None
+
+        data.clear()
+        data.update(cp[1])
+
+    @action.register(Move)
+    def action_move(cp_action):
+        nonlocal model_n
+        # The checkpoint exists
+        assert cp_action.n in snapshots[cp_action.from_storage]
+        assert cp_action.n == max(snapshots[cp_action.from_storage])
+        cp = snapshots[cp_action.from_storage][cp_action.n]
+
+        # No data is currently stored for this step
+        assert cp_action.n not in ics
+        assert cp_action.n not in data
+
+        # The checkpoint contains forward data
+        assert len(cp[0]) == 0 and len(cp[1]) > 0
+
+        # The checkpoint data is before the current location of the adjoint
+        assert cp_action.n < n - model_r
+        model_n = None
+        data.clear()
+        data.update(cp[1])
+        del snapshots[cp_action.from_storage][cp_action.n]
+
+    @action.register(EndForward)
+    def action_end_forward(cp_action):
+        # The correct number of forward steps has been taken
+        assert model_n is not None and model_n == n
+
+    @action.register(EndReverse)
+    def action_end_reverse(cp_action):
+        nonlocal model_r, cp_schedule
+
+        # The correct number of adjoint steps has been taken
+        assert model_r == n
+        is_exhausted = cp_schedule.is_exhausted
+        if is_exhausted is False:
+            model_r = 0
+
+    model_n = 0
+    model_r = 0
+    ics = set()
+    data = set()
+    assert isinstance(n, int)
+    snapshots = {StorageType.RAM: {}, StorageType.DISK: {}}
+    cp_schedule, storage_limits, data_limit = schedule(n)
+    if cp_schedule is None:
+        raise TypeError("Incompatible with schedule type.")
+    assert cp_schedule.n == 0
+    assert cp_schedule.r == 0
+    assert cp_schedule.max_n is None or cp_schedule.max_n == n
+
+    for _, cp_action in enumerate(cp_schedule):
+        action(cp_action)
+        assert model_n is None or model_n == cp_schedule.n
+        assert model_r == cp_schedule.r
+
+        # Checkpoint storage limits are not exceeded
+        for storage_type, storage_limit in storage_limits.items():
+            assert len(snapshots[storage_type]) <= storage_limit
+        # Data storage limit is not exceeded
+        assert min(1, len(ics)) + len(data) <= data_limit
+
+        if isinstance(cp_action, EndReverse):
+            break