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+#!/usr/bin/env python
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+
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+# This file is part of DarkFi (https://dark.fi)
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+#
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+# Copyright (C) 2020-2025 Dyne.org foundation
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+#
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+# This program is free software: you can redistribute it and/or modify
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+# it under the terms of the GNU Affero General Public License as
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+# published by the Free Software Foundation, either version 3 of the
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+# License, or (at your option) any later version.
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+#
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+# This program is distributed in the hope that it will be useful,
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+# but WITHOUT ANY WARRANTY; without even the implied warranty of
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+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+# GNU Affero General Public License for more details.
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+#
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+# You should have received a copy of the GNU Affero General Public License
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+# along with this program. If not, see <https://www.gnu.org/licenses/>.
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+
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+import hashlib
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+import time
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+
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+EventId = str
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+EventIds = list[EventId]
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+
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+class Header:
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+ def __init__(self, timestamp : float, layer: int, parents: EventIds):
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+ self.timestamp = timestamp
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+ self.layer = layer
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+ self.parents = parents
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+
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+ def id(self):
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+ h = hashlib.sha256()
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+ h.update(str(self.timestamp).encode())
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+ for parent in self.parents:
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+ h.update(parent.encode())
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+ h.update(str(self.layer).encode())
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+ return h.hexdigest()
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+
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+ def __str__(self):
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+ res = f"Header [\n\ttimestamp = {self.timestamp}, \n\tlayer = {self.layer}, \n\tparents = {self.parents}, \n ]"
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+ return res
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+
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+class Event:
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+ def __init__(self, header: Header, content: str):
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+ self.header = header
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+ self.content = content
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+
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+ def id(self):
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+ return self.header.id()
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+
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+ def __str__(self):
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+ res = f"Event [\n header = {self.header},\n content = {self.content} \n]"
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+ return res
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+
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+class EventGraph:
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+ def __init__(self):
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+ self.db : dict[EventId, Event] = {}
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+ self.tips : EventIds = []
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+ self.genesis = self.add_genesis()
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+
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+ def add_genesis(self) -> Event:
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+ event = Event(Header(time.time(), 0, []), "GENESIS_EVENT")
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+ self.add_event(event)
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+ return event
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+
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+ def add_event(self, event: Event):
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+ event_id = event.id()
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+ self.db[event_id] = event
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+ for parent in event.header.parents:
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+ if parent in self.tips:
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+ self.tips.remove(parent)
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+
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+ self.tips.append(event_id)
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+
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+ def get_tip_events(self) -> list[Event]:
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+ events = []
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+ for tip in self.tips:
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+ events.append(self.db[tip])
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+
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+ return events
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+
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+ def find_paths_to_genesis(self, event: Event) -> list[list[Event]]:
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+ paths = []
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+
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+ def traverse(curr_path: list[Event], event: Event, paths: list[list[Event]]):
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+ if len(event.header.parents) == 0:
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+ paths.append(list(curr_path))
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+ return
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+
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+ for parent_hash in event.header.parents:
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+ parent_event = self.db[parent_hash]
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+ curr_path.append(parent_event)
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+ traverse(curr_path, parent_event, paths)
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+ curr_path.pop()
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+
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+ traverse([event], event, paths)
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+ return paths
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+
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+ def ancestors(self, event: Event) -> set[EventId] :
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+ visited = set()
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+ stack = [event]
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+ while stack:
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+ ev = stack.pop()
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+ for parent_hash in ev.header.parents:
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+ if parent_hash not in visited:
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+ visited.add(parent_hash)
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+ stack.append(self.db[parent_hash])
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+
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+ return visited
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+
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+ def least_common_ancestors(self, event1: Event, event2: Event) -> set [EventId]:
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+
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+ anc_ev1 = self.ancestors(event1)
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+ anc_ev2 = self.ancestors(event2)
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+
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+ common = anc_ev1 & anc_ev2
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+ lca = set(common)
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+
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+ for h in common:
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+ ev = self.db[h]
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+ for parent in ev.header.parents:
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+ if parent in lca:
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+ lca.remove(parent)
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+
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+ return lca
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+
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+ # given tips (representatives of the DAG we have) find all events
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+ # that are not ancestors of these tips meaning the events we don't have in our dag
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+ def find_non_ancestor_events(self, tips: EventIds) -> set [EventId]:
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+ ancestor_events = set()
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+ for tip in tips:
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+ ancestor_events.add(tip)
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+ ancestor_events |= self.ancestors(self.db[tip])
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+
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+ all_events = self.db.keys()
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+
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+ return all_events - ancestor_events
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+
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+ # builds a specific graph to test finding all paths, common ancestors
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+ def build_graph(self):
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+ '''
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+ This code builds the following graph
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+
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+ Layer 3 2 1 0
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+ [Event3A]-----[Event2A]-------|
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+ |-----[Event1A]-----|
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+ | |
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+ ---------| |
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+ [Event3B]-----[Event2B]-------| |
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+ | |
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+ |-----[Event1B]-----|-----[GENESIS]
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+ |
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+ [Event3C]-----[Event2C]----| |
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+ | |-----[Event1C]-----|
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+ ---| |
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+ | | |
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+ [Event3D]-----[Event2D]----| |------[Event1D]----|
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+ '''
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+ event1a = Event(Header(time.time(), 1, [self.genesis.id()]), "Event1A")
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+ event1b = Event(Header(time.time(), 1, [self.genesis.id()]), "Event1B")
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+ event1c = Event(Header(time.time(), 1, [self.genesis.id()]), "Event1C")
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+ event1d = Event(Header(time.time(), 1, [self.genesis.id()]), "Event1D")
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+
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+ self.add_event(event1a)
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+ self.add_event(event1b)
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+ self.add_event(event1c)
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+ self.add_event(event1d)
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+
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+ event2a = Event(Header(time.time(), 2, [event1a.id()]), "Event2A")
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+ event2b = Event(Header(time.time(), 2, [event1a.id(), event1b.id()]), "Event2B")
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+ event2c = Event(Header(time.time(), 2, [event1c.id(), event1d.id()]), "Event2C")
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+ event2d = Event(Header(time.time(), 2, [event1c.id(), event1d.id()]), "Event2D")
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+
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+ self.add_event(event2a)
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+ self.add_event(event2b)
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+ self.add_event(event2c)
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+ self.add_event(event2d)
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+
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+ event3a = Event(Header(time.time(), 3, [event2a.id()]), "Event3A")
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+ event3b = Event(Header(time.time(), 3, [event2b.id()]), "Event3B")
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+ event3c = Event(Header(time.time(), 3, [event2c.id()]), "Event3C")
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+ event3d = Event(Header(time.time(), 3, [event2d.id()]), "Event3D")
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+
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+ self.add_event(event3a)
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+ self.add_event(event3b)
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+ self.add_event(event3c)
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+ self.add_event(event3d)
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+
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+def main():
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+ graph = EventGraph()
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+ graph.build_graph()
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+ for event in graph.get_tip_events():
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+ print(f"Paths for {event.content}")
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+ paths = graph.find_paths_to_genesis(event)
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+ for path in paths:
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+ print("->".join([evt.content for evt in path]))
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+
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+ print("\n")
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+
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+ tips = graph.get_tip_events()
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+ print(f"Least Common Ancestors of {tips[0].content} and {tips[1].content}")
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+ lca = graph.least_common_ancestors(tips[0], tips[1])
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+ print([graph.db[hash].content for hash in lca])
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+ print("\n")
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+
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+ print(f"Least Common Ancestors of {tips[1].content} and {tips[2].content}")
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+ lca = graph.least_common_ancestors(tips[1], tips[2])
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+ print([graph.db[hash].content for hash in lca])
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+ print("\n")
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+
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+ print(f"Least Common Ancestors of {tips[2].content} and {tips[3].content}")
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+ lca = graph.least_common_ancestors(tips[2], tips[3])
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+ print([graph.db[hash].content for hash in lca])
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+ print("\n")
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+
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+ non_ancestors = graph.find_non_ancestor_events([graph.tips[0]])
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+ print(f"Non Ancestors to {tips[0].content}")
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+ print([graph.db[hash].content for hash in non_ancestors])
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+ print("\n")
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+
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+ non_ancestors = graph.find_non_ancestor_events([graph.tips[1]])
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+ print(f"Non Ancestors to {tips[1].content}")
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+ print([graph.db[hash].content for hash in non_ancestors])
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+ print("\n")
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+
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+ non_ancestors = graph.find_non_ancestor_events([graph.tips[2]])
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+ print(f"Non Ancestors to {tips[2].content}")
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+ print([graph.db[hash].content for hash in non_ancestors])
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+ print("\n")
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+
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+ non_ancestors = graph.find_non_ancestor_events([graph.tips[3]])
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+ print(f"Non Ancestors to {tips[3].content}")
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+ print([graph.db[hash].content for hash in non_ancestors])
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+ print("\n")
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+
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+if __name__ == "__main__":
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+ main()
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