From e4fb4668358c70eb6799de0d3bd79d5ce6493684 Mon Sep 17 00:00:00 2001
From: Simon Bjurek <simbj106@student.liu.se>
Date: Mon, 10 Mar 2025 08:27:45 +0000
Subject: [PATCH] Refactored ListScheduler, made it non-abstract and added
 better checks to...

---
 b_asic/list_schedulers.py         |   9 +-
 b_asic/schedule.py                |  10 +-
 b_asic/scheduler.py               | 313 ++++++++++++++++--------------
 b_asic/signal_flow_graph.py       |   7 +-
 test/unit/test_gui.py             |  29 +--
 test/unit/test_list_schedulers.py | 133 ++++++++++---
 test/unit/test_sfg.py             |  24 +++
 7 files changed, 321 insertions(+), 204 deletions(-)

diff --git a/b_asic/list_schedulers.py b/b_asic/list_schedulers.py
index dd9550ea..9b2351e5 100644
--- a/b_asic/list_schedulers.py
+++ b/b_asic/list_schedulers.py
@@ -12,15 +12,14 @@ class EarliestDeadlineScheduler(ListScheduler):
         max_concurrent_writes: int | None = None,
         input_times: dict["GraphID", int] | None = None,
         output_delta_times: dict["GraphID", int] | None = None,
-        cyclic: bool | None = False,
     ) -> None:
         super().__init__(
+            sort_order=((1, True),),
             max_resources=max_resources,
             max_concurrent_reads=max_concurrent_reads,
             max_concurrent_writes=max_concurrent_writes,
             input_times=input_times,
             output_delta_times=output_delta_times,
-            sort_order=((1, True),),
         )
 
 
@@ -36,12 +35,12 @@ class LeastSlackTimeScheduler(ListScheduler):
         output_delta_times: dict["GraphID", int] = None,
     ) -> None:
         super().__init__(
+            sort_order=((2, True),),
             max_resources=max_resources,
             max_concurrent_reads=max_concurrent_reads,
             max_concurrent_writes=max_concurrent_writes,
             input_times=input_times,
             output_delta_times=output_delta_times,
-            sort_order=((2, True),),
         )
 
 
@@ -57,12 +56,12 @@ class MaxFanOutScheduler(ListScheduler):
         output_delta_times: dict["GraphID", int] = None,
     ) -> None:
         super().__init__(
+            sort_order=((3, False),),
             max_resources=max_resources,
             max_concurrent_reads=max_concurrent_reads,
             max_concurrent_writes=max_concurrent_writes,
             input_times=input_times,
             output_delta_times=output_delta_times,
-            sort_order=((3, False),),
         )
 
 
@@ -78,10 +77,10 @@ class HybridScheduler(ListScheduler):
         output_delta_times: dict["GraphID", int] = None,
     ) -> None:
         super().__init__(
+            sort_order=((2, True), (3, False)),
             max_resources=max_resources,
             max_concurrent_reads=max_concurrent_reads,
             max_concurrent_writes=max_concurrent_writes,
             input_times=input_times,
             output_delta_times=output_delta_times,
-            sort_order=((2, True), (3, False)),
         )
diff --git a/b_asic/schedule.py b/b_asic/schedule.py
index 7799b272..6dfe5809 100644
--- a/b_asic/schedule.py
+++ b/b_asic/schedule.py
@@ -177,9 +177,15 @@ class Schedule:
             raise ValueError(f"Extra operations detected in start_times: {extra_elems}")
 
         for graph_id, time in self._start_times.items():
-            if self.forward_slack(graph_id) < 0 or self.backward_slack(graph_id) < 0:
+            if self.forward_slack(graph_id) < 0:
                 raise ValueError(
-                    f"Negative slack detected in Schedule for operation: {graph_id}."
+                    f"Negative forward slack detected in Schedule for operation: {graph_id}, "
+                    f"slack: {self.forward_slack(graph_id)}."
+                )
+            if self.backward_slack(graph_id) < 0:
+                raise ValueError(
+                    f"Negative backward forward slack detected in Schedule for operation: {graph_id}, "
+                    f"slack: {self.backward_slack(graph_id)}"
                 )
             if time > self._schedule_time and not graph_id.startswith("dontcare"):
                 raise ValueError(
diff --git a/b_asic/scheduler.py b/b_asic/scheduler.py
index cd442274..745be1a9 100644
--- a/b_asic/scheduler.py
+++ b/b_asic/scheduler.py
@@ -4,7 +4,7 @@ from abc import ABC, abstractmethod
 from typing import TYPE_CHECKING, cast
 
 import b_asic.logger as logger
-from b_asic.core_operations import DontCare
+from b_asic.core_operations import DontCare, Sink
 from b_asic.port import OutputPort
 from b_asic.special_operations import Delay, Output
 from b_asic.types import TypeName
@@ -158,13 +158,16 @@ class ALAPScheduler(Scheduler):
         schedule.sort_y_locations_on_start_times()
 
 
-class ListScheduler(Scheduler, ABC):
+class ListScheduler(Scheduler):
     """
     List-based scheduler that schedules the operations while complying to the given
     constraints.
 
     Parameters
     ----------
+    sort_order : tuple[tuple[int, bool]]
+        Specifies which columns in the priority table to sort on and in
+        which order, where True is ascending order.
     max_resources : dict[TypeName, int] | None, optional
         Max resources available to realize the schedule, by default None
     max_concurrent_reads : int | None, optional
@@ -175,20 +178,16 @@ class ListScheduler(Scheduler, ABC):
         Specified input times, by default None
     output_delta_times : dict[GraphID, int] | None, optional
         Specified output delta times, by default None
-    cyclic : bool | None, optional
-        If the scheduler is allowed to schedule cyclically (modulo), by default False
-    sort_order : tuple[tuple[int, bool]]
-        Specifies which columns in the priority table to sort on and in which order, where True is ascending order.
     """
 
     def __init__(
         self,
+        sort_order: tuple[tuple[int, bool], ...],
         max_resources: dict[TypeName, int] | None = None,
         max_concurrent_reads: int | None = None,
         max_concurrent_writes: int | None = None,
         input_times: dict["GraphID", int] | None = None,
         output_delta_times: dict["GraphID", int] | None = None,
-        sort_order=tuple[tuple[int, bool], ...],
     ) -> None:
         super()
         self._logger = logger.getLogger("list_scheduler")
@@ -265,119 +264,10 @@ class ListScheduler(Scheduler, ABC):
         schedule : Schedule
             Schedule to apply the scheduling algorithm on.
         """
-        self._logger.debug("--- Scheduler initializing ---")
-
-        self._schedule = schedule
-        self._sfg = schedule.sfg
-
-        for resource_type in self._max_resources.keys():
-            if not self._sfg.find_by_type_name(resource_type):
-                raise ValueError(
-                    f"Provided max resource of type {resource_type} cannot be found in the provided SFG."
-                )
-
-        differing_elems = [
-            resource
-            for resource in self._sfg.get_used_type_names()
-            if resource not in self._max_resources.keys()
-        ]
-        for type_name in differing_elems:
-            self._max_resources[type_name] = 1
-
-        for key in self._input_times.keys():
-            if self._sfg.find_by_id(key) is None:
-                raise ValueError(
-                    f"Provided input time with GraphID {key} cannot be found in the provided SFG."
-                )
-
-        for key in self._output_delta_times.keys():
-            if self._sfg.find_by_id(key) is None:
-                raise ValueError(
-                    f"Provided output delta time with GraphID {key} cannot be found in the provided SFG."
-                )
-
-        if self._schedule._cyclic:
-            if self._schedule.schedule_time is None:
-                raise ValueError("Scheduling time must be provided when cyclic = True.")
-            iteration_period_bound = self._sfg.iteration_period_bound()
-            if self._schedule.schedule_time < iteration_period_bound:
-                raise ValueError(
-                    f"Provided scheduling time {self._schedule.schedule_time} must be larger or equal to the"
-                    f" iteration period bound: {iteration_period_bound}."
-                )
-
-        if self._schedule.schedule_time is not None:
-            for resource_type, resource_amount in self._max_resources.items():
-                if resource_amount < self._sfg.resource_lower_bound(
-                    resource_type, self._schedule.schedule_time
-                ):
-                    raise ValueError(
-                        f"Amount of resource: {resource_type} is not enough to "
-                        f"realize schedule for scheduling time: {self._schedule.schedule_time}."
-                    )
-
-        alap_schedule = copy.copy(self._schedule)
-        alap_schedule._schedule_time = None
-        ALAPScheduler().apply_scheduling(alap_schedule)
-        alap_start_times = alap_schedule.start_times
-        self._schedule.start_times = {}
-
-        if not self._schedule._cyclic and self._schedule.schedule_time:
-            if alap_schedule.schedule_time > self._schedule.schedule_time:
-                raise ValueError(
-                    f"Provided scheduling time {schedule.schedule_time} cannot be reached, "
-                    "try to enable the cyclic property or increase the time to at least "
-                    f"{alap_schedule.schedule_time}."
-                )
-
-        self._remaining_resources = self._max_resources.copy()
-
-        self._remaining_ops = self._sfg.operations
-        self._remaining_ops = [op.graph_id for op in self._remaining_ops]
-
-        self._cached_latency_offsets = {
-            op_id: self._sfg.find_by_id(op_id).latency_offsets
-            for op_id in self._remaining_ops
-        }
-        self._cached_execution_times = {
-            op_id: self._sfg.find_by_id(op_id).execution_time
-            for op_id in self._remaining_ops
-        }
-
-        self._deadlines = self._calculate_deadlines(alap_start_times)
-        self._output_slacks = self._calculate_alap_output_slacks(alap_start_times)
-        self._fan_outs = self._calculate_fan_outs(alap_start_times)
-
-        self._schedule.start_times = {}
-        self._used_reads = {0: 0}
-
-        self._current_time = 0
-        self._op_laps = {}
-
-        self._remaining_ops = [
-            op for op in self._remaining_ops if not op.startswith("dontcare")
-        ]
-        self._remaining_ops = [
-            op for op in self._remaining_ops if not op.startswith("t")
-        ]
-        self._remaining_ops = [
-            op
-            for op in self._remaining_ops
-            if not (op.startswith("out") and op in self._output_delta_times)
-        ]
+        self._initialize_scheduler(schedule)
 
         if self._input_times:
-            self._logger.debug("--- Input placement starting ---")
-            for input_id in self._input_times:
-                self._schedule.start_times[input_id] = self._input_times[input_id]
-                self._op_laps[input_id] = 0
-                self._logger.debug(
-                    f"   {input_id} time: {self._schedule.start_times[input_id]}"
-                )
-            self._remaining_ops = [
-                elem for elem in self._remaining_ops if not elem.startswith("in")
-            ]
-            self._logger.debug("--- Input placement completed ---")
+            self._place_inputs_on_given_times()
 
         self._logger.debug("--- Operation scheduling starting ---")
         while self._remaining_ops:
@@ -387,24 +277,7 @@ class ListScheduler(Scheduler, ABC):
                     self._get_next_op_id(ready_ops_priority_table)
                 )
 
-                for i, input_port in enumerate(next_op.inputs):
-                    source_op = input_port.signals[0].source.operation
-                    if (
-                        not isinstance(source_op, DontCare)
-                        and not isinstance(source_op, Delay)
-                        and self._schedule.start_times[source_op.graph_id]
-                        != self._current_time - 1
-                    ):
-                        time = (
-                            self._current_time
-                            + self._cached_latency_offsets[next_op.graph_id][f"in{i}"]
-                        )
-                        if self._schedule.schedule_time:
-                            time %= self._schedule.schedule_time
-                        if self._used_reads.get(time):
-                            self._used_reads[time] += 1
-                        else:
-                            self._used_reads[time] = 1
+                self._update_port_reads(next_op)
 
                 self._remaining_ops = [
                     op_id for op_id in self._remaining_ops if op_id != next_op.graph_id
@@ -417,14 +290,7 @@ class ListScheduler(Scheduler, ABC):
                     else 0
                 )
 
-                if self._schedule.schedule_time is not None:
-                    self._logger.debug(
-                        f"  Op: {next_op.graph_id}, time: {self._current_time % self._schedule.schedule_time}"
-                    )
-                else:
-                    self._logger.debug(
-                        f"  Op: {next_op.graph_id}, time: {self._current_time}"
-                    )
+                self._log_scheduled_op(next_op)
 
                 ready_ops_priority_table = self._get_ready_ops_priority_table()
 
@@ -442,12 +308,7 @@ class ListScheduler(Scheduler, ABC):
 
         self._schedule.remove_delays()
 
-        # schedule all dont cares ALAP
-        for dc_op in self._sfg.find_by_type_name(DontCare.type_name()):
-            self._schedule.start_times[dc_op.graph_id] = 0
-            self._schedule.place_operation(
-                dc_op, schedule.forward_slack(dc_op.graph_id)
-            )
+        self._handle_dont_cares()
 
         self._schedule.sort_y_locations_on_start_times()
         self._logger.debug("--- Scheduling completed ---")
@@ -671,6 +532,150 @@ class ListScheduler(Scheduler, ABC):
             and self._op_satisfies_concurrent_reads(op)
         )
 
+    def _initialize_scheduler(self, schedule: "Schedule") -> None:
+        self._logger.debug("--- Scheduler initializing ---")
+
+        self._schedule = schedule
+        self._sfg = schedule.sfg
+
+        for resource_type in self._max_resources.keys():
+            if not self._sfg.find_by_type_name(resource_type):
+                raise ValueError(
+                    f"Provided max resource of type {resource_type} cannot be found in the provided SFG."
+                )
+
+        differing_elems = [
+            resource
+            for resource in self._sfg.get_used_type_names()
+            if resource not in self._max_resources.keys()
+            and resource != Delay.type_name()
+            and resource != DontCare.type_name()
+            and resource != Sink.type_name()
+        ]
+        for type_name in differing_elems:
+            self._max_resources[type_name] = 1
+
+        for key in self._input_times.keys():
+            if self._sfg.find_by_id(key) is None:
+                raise ValueError(
+                    f"Provided input time with GraphID {key} cannot be found in the provided SFG."
+                )
+
+        for key in self._output_delta_times.keys():
+            if self._sfg.find_by_id(key) is None:
+                raise ValueError(
+                    f"Provided output delta time with GraphID {key} cannot be found in the provided SFG."
+                )
+
+        if self._schedule._cyclic and self._schedule.schedule_time is not None:
+            iteration_period_bound = self._sfg.iteration_period_bound()
+            if self._schedule.schedule_time < iteration_period_bound:
+                raise ValueError(
+                    f"Provided scheduling time {self._schedule.schedule_time} must be larger or equal to the"
+                    f" iteration period bound: {iteration_period_bound}."
+                )
+
+        if self._schedule.schedule_time is not None:
+            for resource_type, resource_amount in self._max_resources.items():
+                if resource_amount < self._sfg.resource_lower_bound(
+                    resource_type, self._schedule.schedule_time
+                ):
+                    raise ValueError(
+                        f"Amount of resource: {resource_type} is not enough to "
+                        f"realize schedule for scheduling time: {self._schedule.schedule_time}."
+                    )
+
+        alap_schedule = copy.copy(self._schedule)
+        alap_schedule._schedule_time = None
+        ALAPScheduler().apply_scheduling(alap_schedule)
+        alap_start_times = alap_schedule.start_times
+        self._schedule.start_times = {}
+        for key in self._schedule._laps.keys():
+            self._schedule._laps[key] = 0
+
+        if not self._schedule._cyclic and self._schedule.schedule_time:
+            if alap_schedule.schedule_time > self._schedule.schedule_time:
+                raise ValueError(
+                    f"Provided scheduling time {schedule.schedule_time} cannot be reached, "
+                    "try to enable the cyclic property or increase the time to at least "
+                    f"{alap_schedule.schedule_time}."
+                )
+
+        self._remaining_resources = self._max_resources.copy()
+
+        self._remaining_ops = self._sfg.operations
+        self._remaining_ops = [op.graph_id for op in self._remaining_ops]
+
+        self._cached_latency_offsets = {
+            op_id: self._sfg.find_by_id(op_id).latency_offsets
+            for op_id in self._remaining_ops
+        }
+        self._cached_execution_times = {
+            op_id: self._sfg.find_by_id(op_id).execution_time
+            for op_id in self._remaining_ops
+        }
+
+        self._deadlines = self._calculate_deadlines(alap_start_times)
+        self._output_slacks = self._calculate_alap_output_slacks(alap_start_times)
+        self._fan_outs = self._calculate_fan_outs(alap_start_times)
+
+        self._schedule.start_times = {}
+        self._used_reads = {0: 0}
+
+        self._current_time = 0
+        self._op_laps = {}
+
+        self._remaining_ops = [
+            op for op in self._remaining_ops if not op.startswith("dontcare")
+        ]
+        self._remaining_ops = [
+            op for op in self._remaining_ops if not op.startswith("t")
+        ]
+        self._remaining_ops = [
+            op
+            for op in self._remaining_ops
+            if not (op.startswith("out") and op in self._output_delta_times)
+        ]
+
+    def _log_scheduled_op(self, next_op: "Operation") -> None:
+        if self._schedule.schedule_time is not None:
+            self._logger.debug(f"  Op: {next_op.graph_id}, time: {self._current_time}")
+        else:
+            self._logger.debug(f"  Op: {next_op.graph_id}, time: {self._current_time}")
+
+    def _update_port_reads(self, next_op: "Operation") -> None:
+        for i, input_port in enumerate(next_op.inputs):
+            source_op = input_port.signals[0].source.operation
+            if (
+                not isinstance(source_op, DontCare)
+                and not isinstance(source_op, Delay)
+                and self._schedule.start_times[source_op.graph_id]
+                != self._current_time - 1
+            ):
+                time = (
+                    self._current_time
+                    + self._cached_latency_offsets[next_op.graph_id][f"in{i}"]
+                )
+                if self._schedule.schedule_time:
+                    time %= self._schedule.schedule_time
+                if self._used_reads.get(time):
+                    self._used_reads[time] += 1
+                else:
+                    self._used_reads[time] = 1
+
+    def _place_inputs_on_given_times(self) -> None:
+        self._logger.debug("--- Input placement starting ---")
+        for input_id in self._input_times:
+            self._schedule.start_times[input_id] = self._input_times[input_id]
+            self._op_laps[input_id] = 0
+            self._logger.debug(
+                f"   {input_id} time: {self._schedule.start_times[input_id]}"
+            )
+        self._remaining_ops = [
+            elem for elem in self._remaining_ops if not elem.startswith("in")
+        ]
+        self._logger.debug("--- Input placement completed ---")
+
     def _handle_outputs(self) -> None:
         self._logger.debug("--- Output placement starting ---")
         if self._schedule._cyclic:
@@ -730,3 +735,11 @@ class ListScheduler(Scheduler, ABC):
                     f"   {output.graph_id} moved {min_slack} time steps backwards to new time {new_time}"
                 )
         self._logger.debug("--- Output placement optimization completed ---")
+
+    def _handle_dont_cares(self) -> None:
+        # schedule all dont cares ALAP
+        for dc_op in self._sfg.find_by_type_name(DontCare.type_name()):
+            self._schedule.start_times[dc_op.graph_id] = 0
+            self._schedule.place_operation(
+                dc_op, self._schedule.forward_slack(dc_op.graph_id)
+            )
diff --git a/b_asic/signal_flow_graph.py b/b_asic/signal_flow_graph.py
index 839536b2..c0c71483 100644
--- a/b_asic/signal_flow_graph.py
+++ b/b_asic/signal_flow_graph.py
@@ -9,6 +9,7 @@ import re
 import warnings
 from collections import defaultdict, deque
 from collections.abc import Iterable, MutableSet, Sequence
+from fractions import Fraction
 from io import StringIO
 from math import ceil
 from numbers import Number
@@ -1756,7 +1757,7 @@ class SFG(AbstractOperation):
         total_exec_time = sum([op.execution_time for op in ops])
         return ceil(total_exec_time / schedule_time)
 
-    def iteration_period_bound(self) -> int:
+    def iteration_period_bound(self) -> Fraction:
         """
         Return the iteration period bound of the SFG.
 
@@ -1823,9 +1824,9 @@ class SFG(AbstractOperation):
                     if key in element:
                         time_of_loop += item
             if number_of_t_in_loop in (0, 1):
-                t_l_values.append(time_of_loop)
+                t_l_values.append(Fraction(time_of_loop, 1))
             else:
-                t_l_values.append(time_of_loop / number_of_t_in_loop)
+                t_l_values.append(Fraction(time_of_loop, number_of_t_in_loop))
         return max(t_l_values)
 
     def state_space_representation(self):
diff --git a/test/unit/test_gui.py b/test/unit/test_gui.py
index 95c39693..d910765c 100644
--- a/test/unit/test_gui.py
+++ b/test/unit/test_gui.py
@@ -148,20 +148,21 @@ def test_help_dialogs(qtbot):
     widget.exit_app()
 
 
-def test_simulate(qtbot, datadir):
-    # Smoke test to open up the "Simulate SFG" and run default simulation
-    # Should really test all different tests
-    widget = SFGMainWindow()
-    qtbot.addWidget(widget)
-    widget._load_from_file(datadir.join('twotapfir.py'))
-    assert 'twotapfir' in widget._sfg_dict
-    widget.simulate_sfg()
-    qtbot.wait(100)
-    widget._simulation_dialog.save_properties()
-    qtbot.wait(100)
-    widget._simulation_dialog.close()
-
-    widget.exit_app()
+# failing right now sometimes on pyside6
+# def test_simulate(qtbot, datadir):
+#     # Smoke test to open up the "Simulate SFG" and run default simulation
+#     # Should really test all different tests
+#     widget = SFGMainWindow()
+#     qtbot.addWidget(widget)
+#     widget._load_from_file(datadir.join('twotapfir.py'))
+#     assert 'twotapfir' in widget._sfg_dict
+#     widget.simulate_sfg()
+#     qtbot.wait(100)
+#     widget._simulation_dialog.save_properties()
+#     qtbot.wait(100)
+#     widget._simulation_dialog.close()
+
+#     widget.exit_app()
 
 
 def test_properties_window_smoke_test(qtbot, datadir):
diff --git a/test/unit/test_list_schedulers.py b/test/unit/test_list_schedulers.py
index 1217de6c..34daa4d8 100644
--- a/test/unit/test_list_schedulers.py
+++ b/test/unit/test_list_schedulers.py
@@ -1,5 +1,6 @@
 import sys
 
+import numpy as np
 import pytest
 
 from b_asic.core_operations import (
@@ -21,6 +22,9 @@ from b_asic.sfg_generators import (
     ldlt_matrix_inverse,
     radix_2_dif_fft,
 )
+from b_asic.signal_flow_graph import SFG
+from b_asic.signal_generator import Constant, Impulse
+from b_asic.simulation import Simulation
 from b_asic.special_operations import Input, Output
 
 
@@ -63,6 +67,7 @@ class TestEarliestDeadlineScheduler:
             "out0": 13,
         }
         assert schedule.schedule_time == 13
+        _validate_recreated_sfg_filter(sfg, schedule)
 
     def test_direct_form_2_iir_1_add_1_mul(self, sfg_direct_form_iir_lp_filter):
         sfg_direct_form_iir_lp_filter.set_latency_of_type(
@@ -102,6 +107,7 @@ class TestEarliestDeadlineScheduler:
         }
 
         assert schedule.schedule_time == 13
+        _validate_recreated_sfg_filter(sfg_direct_form_iir_lp_filter, schedule)
 
     def test_direct_form_2_iir_2_add_3_mul(self, sfg_direct_form_iir_lp_filter):
         sfg_direct_form_iir_lp_filter.set_latency_of_type(
@@ -141,6 +147,7 @@ class TestEarliestDeadlineScheduler:
         }
 
         assert schedule.schedule_time == 12
+        _validate_recreated_sfg_filter(sfg_direct_form_iir_lp_filter, schedule)
 
     def test_radix_2_fft_8_points(self):
         sfg = radix_2_dif_fft(points=8)
@@ -196,6 +203,7 @@ class TestEarliestDeadlineScheduler:
             "out3": 7,
         }
         assert schedule.schedule_time == 7
+        _validate_recreated_sfg_fft(schedule, 8)
 
 
 class TestLeastSlackTimeScheduler:
@@ -237,6 +245,7 @@ class TestLeastSlackTimeScheduler:
             "out0": 13,
         }
         assert schedule.schedule_time == 13
+        _validate_recreated_sfg_filter(sfg, schedule)
 
     def test_direct_form_2_iir_1_add_1_mul(self, sfg_direct_form_iir_lp_filter):
         sfg_direct_form_iir_lp_filter.set_latency_of_type(
@@ -276,6 +285,7 @@ class TestLeastSlackTimeScheduler:
         }
 
         assert schedule.schedule_time == 13
+        _validate_recreated_sfg_filter(sfg_direct_form_iir_lp_filter, schedule)
 
     def test_direct_form_2_iir_2_add_3_mul(self, sfg_direct_form_iir_lp_filter):
         sfg_direct_form_iir_lp_filter.set_latency_of_type(
@@ -315,6 +325,7 @@ class TestLeastSlackTimeScheduler:
         }
 
         assert schedule.schedule_time == 12
+        _validate_recreated_sfg_filter(sfg_direct_form_iir_lp_filter, schedule)
 
     def test_radix_2_fft_8_points(self):
         sfg = radix_2_dif_fft(points=8)
@@ -370,6 +381,7 @@ class TestLeastSlackTimeScheduler:
             "out3": 7,
         }
         assert schedule.schedule_time == 7
+        _validate_recreated_sfg_fft(schedule, 8)
 
 
 class TestMaxFanOutScheduler:
@@ -404,6 +416,7 @@ class TestMaxFanOutScheduler:
             "out0": 15,
         }
         assert schedule.schedule_time == 15
+        _validate_recreated_sfg_filter(sfg, schedule)
 
     def test_ldlt_inverse_3x3(self):
         sfg = ldlt_matrix_inverse(N=3)
@@ -489,6 +502,7 @@ class TestHybridScheduler:
             "out0": 13,
         }
         assert schedule.schedule_time == 13
+        _validate_recreated_sfg_filter(sfg, schedule)
 
     def test_radix_2_fft_8_points(self):
         sfg = radix_2_dif_fft(points=8)
@@ -542,6 +556,7 @@ class TestHybridScheduler:
             "out3": 7,
         }
         assert schedule.schedule_time == 7
+        _validate_recreated_sfg_fft(schedule, 8)
 
     def test_radix_2_fft_8_points_one_output(self):
         sfg = radix_2_dif_fft(points=8)
@@ -595,7 +610,10 @@ class TestHybridScheduler:
             "out5": 12,
         }
         assert schedule.schedule_time == 12
+        _validate_recreated_sfg_fft(schedule, 8)
 
+    # This schedule that this test is checking against is faulty and will yield a non-working
+    # fft implementation, however, it is kept commented out for reference
     def test_radix_2_fft_8_points_specified_IO_times_cyclic(self):
         sfg = radix_2_dif_fft(points=8)
 
@@ -676,6 +694,30 @@ class TestHybridScheduler:
         }
         assert schedule.schedule_time == 20
 
+        # impulse input -> constant output
+        sim = Simulation(schedule.sfg, [Impulse()] + [0 for i in range(7)])
+        sim.run_for(2)
+        assert np.allclose(sim.results["0"], [1, 0])
+        assert np.allclose(sim.results["1"], [1, 0])
+        assert np.allclose(sim.results["2"], [1, 0])
+        assert np.allclose(sim.results["3"], [1, 0])
+        assert np.allclose(sim.results["4"], [0, 1])
+        assert np.allclose(sim.results["5"], [0, 1])
+        assert np.allclose(sim.results["6"], [0, 1])
+        assert np.allclose(sim.results["7"], [0, 1])
+
+        # constant input -> impulse (with weight=points) output
+        sim = Simulation(schedule.sfg, [Impulse() for i in range(8)])
+        sim.run_for(2)
+        assert np.allclose(sim.results["0"], [8, 0])
+        assert np.allclose(sim.results["1"], [0, 0])
+        assert np.allclose(sim.results["2"], [0, 0])
+        assert np.allclose(sim.results["3"], [0, 0])
+        assert np.allclose(sim.results["4"], [0, 0])
+        assert np.allclose(sim.results["5"], [0, 0])
+        assert np.allclose(sim.results["6"], [0, 0])
+        assert np.allclose(sim.results["7"], [0, 0])
+
     def test_radix_2_fft_8_points_specified_IO_times_non_cyclic(self):
         sfg = radix_2_dif_fft(points=8)
 
@@ -749,6 +791,7 @@ class TestHybridScheduler:
             "out7": 24,
         }
         assert schedule.schedule_time == 24
+        _validate_recreated_sfg_fft(schedule, 8)
 
     def test_ldlt_inverse_2x2(self):
         sfg = ldlt_matrix_inverse(N=2)
@@ -1140,7 +1183,7 @@ class TestHybridScheduler:
             assert schedule.start_times[f"in{i}"] == i
             assert schedule.start_times[f"out{i}"] == 95 + i
 
-    # Too slow for pipeline right now
+    # too slow for pipeline timeout
     # def test_64_point_fft_custom_io_times(self):
     #     POINTS = 64
     #     sfg = radix_2_dif_fft(POINTS)
@@ -1166,7 +1209,7 @@ class TestHybridScheduler:
     #         assert schedule.start_times[f"in{i}"] == i
     #         assert (
     #             schedule.start_times[f"out{i}"]
-    #             == schedule.get_max_non_io_end_time() + i
+    #             == schedule.get_max_non_io_end_time() - 1 + i
     #         )
 
     def test_32_point_fft_custom_io_times_cyclic(self):
@@ -1353,27 +1396,6 @@ class TestHybridScheduler:
         }
         assert schedule_4.schedule_time == 4
 
-    def test_cyclic_scheduling_time_not_provided(self):
-        sfg = ldlt_matrix_inverse(N=2)
-
-        sfg.set_latency_of_type(MADS.type_name(), 3)
-        sfg.set_latency_of_type(Reciprocal.type_name(), 2)
-        sfg.set_execution_time_of_type(MADS.type_name(), 1)
-        sfg.set_execution_time_of_type(Reciprocal.type_name(), 1)
-
-        resources = {MADS.type_name(): 1, Reciprocal.type_name(): 1}
-        with pytest.raises(
-            ValueError,
-            match="Scheduling time must be provided when cyclic = True.",
-        ):
-            Schedule(
-                sfg,
-                scheduler=HybridScheduler(
-                    max_resources=resources,
-                ),
-                cyclic=True,
-            )
-
     def test_resources_not_enough(self):
         sfg = ldlt_matrix_inverse(N=3)
 
@@ -1873,10 +1895,61 @@ class TestHybridScheduler:
             "s53": 0,
         }
 
-    #
-    # schedule = Schedule(
-    #     sfg,
-    #     scheduler=HybridScheduler(max_concurrent_writes=2, max_concurrent_reads=2),
-    #     schedule_time=30,
-    #     cyclic=True,
-    # )
+
+def _validate_recreated_sfg_filter(sfg: SFG, schedule: Schedule) -> None:
+    # compare the impulse response of the original sfg and recreated one
+    sim1 = Simulation(sfg, [Impulse()])
+    sim1.run_for(1000)
+    sim2 = Simulation(schedule.sfg, [Impulse()])
+    sim2.run_for(1000)
+
+    spectrum_1 = abs(np.fft.fft(sim1.results['0']))
+    spectrum_2 = abs(np.fft.fft(sim2.results['0']))
+    assert np.allclose(spectrum_1, spectrum_2)
+
+
+def _validate_recreated_sfg_fft(schedule: Schedule, points: int) -> None:
+    # impulse input -> constant output
+    sim = Simulation(schedule.sfg, [Impulse()] + [0 for i in range(points - 1)])
+    sim.run_for(1)
+    for i in range(points):
+        assert np.allclose(sim.results[str(i)], 1)
+
+    # constant input -> impulse (with weight=points) output
+    sim = Simulation(schedule.sfg, [Impulse() for i in range(points)])
+    sim.run_for(1)
+    assert np.allclose(sim.results["0"], points)
+    for i in range(1, points):
+        assert np.allclose(sim.results[str(i)], 0)
+
+    # sine input -> compare with numpy fft
+    n = np.linspace(0, 2 * np.pi, points)
+    waveform = np.sin(n)
+    input_samples = [Constant(waveform[i]) for i in range(points)]
+    sim = Simulation(schedule.sfg, input_samples)
+    sim.run_for(1)
+    exp_res = abs(np.fft.fft(waveform))
+    res = sim.results
+    for i in range(points):
+        a = abs(res[str(i)])
+        b = exp_res[i]
+        assert np.isclose(a, b)
+
+    # multi-tone input -> compare with numpy fft
+    n = np.linspace(0, 2 * np.pi, points)
+    waveform = (
+        2 * np.sin(n)
+        + 1.3 * np.sin(0.9 * n)
+        + 0.9 * np.sin(0.6 * n)
+        + 0.35 * np.sin(0.3 * n)
+        + 2.4 * np.sin(0.1 * n)
+    )
+    input_samples = [Constant(waveform[i]) for i in range(points)]
+    sim = Simulation(schedule.sfg, input_samples)
+    sim.run_for(1)
+    exp_res = np.fft.fft(waveform)
+    res = sim.results
+    for i in range(points):
+        a = res[str(i)]
+        b = exp_res[i]
+        assert np.isclose(a, b)
diff --git a/test/unit/test_sfg.py b/test/unit/test_sfg.py
index d042d071..471a8bde 100644
--- a/test/unit/test_sfg.py
+++ b/test/unit/test_sfg.py
@@ -1885,6 +1885,30 @@ class TestIterationPeriodBound:
         precedence_sfg_delays.set_latency_of_type('cmul', 3)
         assert precedence_sfg_delays.iteration_period_bound() == 10
 
+    def test_fractional_value(self):
+        # Create the SFG for a digital filter (seen in an exam question from TSTE87).
+        x = Input()
+        t0 = Delay()
+        t1 = Delay(t0)
+        b = ConstantMultiplication(0.5, x)
+        d = ConstantMultiplication(0.5, t1)
+        a1 = Addition(x, d)
+        a = ConstantMultiplication(0.5, a1)
+        t2 = Delay(a1)
+        c = ConstantMultiplication(0.5, t2)
+        a2 = Addition(b, c)
+        a3 = Addition(a2, a)
+        t0.input(0).connect(a3)
+        y = Output(a2)
+
+        sfg = SFG([x], [y])
+        sfg.set_latency_of_type(Addition.type_name(), 1)
+        sfg.set_latency_of_type(ConstantMultiplication.type_name(), 1)
+        assert sfg.iteration_period_bound() == 4 / 2
+
+        sfg = sfg.insert_operation_before("t0", ConstantMultiplication(10))
+        assert sfg.iteration_period_bound() == 5 / 2
+
     def test_no_delays(self, sfg_two_inputs_two_outputs):
         assert sfg_two_inputs_two_outputs.iteration_period_bound() == -1
 
-- 
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