diff --git a/maximum-indep-set-python/.gitignore b/maximum-indep-set-python/.gitignore new file mode 100644 index 0000000..68bc17f --- /dev/null +++ b/maximum-indep-set-python/.gitignore @@ -0,0 +1,160 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ +cover/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +.pybuilder/ +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# pyenv +# For a library or package, you might want to ignore these files since the code is +# intended to run in multiple environments; otherwise, check them in: +# .python-version + +# pipenv +# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. +# However, in case of collaboration, if having platform-specific dependencies or dependencies +# having no cross-platform support, pipenv may install dependencies that don't work, or not +# install all needed dependencies. +#Pipfile.lock + +# poetry +# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control. +# This is especially recommended for binary packages to ensure reproducibility, and is more +# commonly ignored for libraries. +# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control +#poetry.lock + +# pdm +# Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control. +#pdm.lock +# pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it +# in version control. +# https://pdm.fming.dev/#use-with-ide +.pdm.toml + +# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm +__pypackages__/ + +# Celery stuff +celerybeat-schedule +celerybeat.pid + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ + +# pytype static type analyzer +.pytype/ + +# Cython debug symbols +cython_debug/ + +# PyCharm +# JetBrains specific template is maintained in a separate JetBrains.gitignore that can +# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore +# and can be added to the global gitignore or merged into this file. 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Nextmv-maxindset +An application for solving the maximum independent set problem + +Given an undirect graph $G(V, E)$, the goal is to find the largest possible subset of vertices $I \subset V$ such that no two vertices in $I$ are adjacent. + +In this implementation, pure Python is used without need for requirements specification. + +## Heuristics +To solve this problem, two heuristics are proposed: +- Greedy algorithm: chooses the next element by 'degree' +- Random choice (with multistart): Chooses randomly a feasible element from the ground set at each step + +## Options +When executing the solver via `main.py` you can specify the algorithm via cmd line and also the number of iterations in case of random choice with multistart. + +The arguments accepted are: +- `-input`: Path to input file (by default considers `stdin`) +- `-output`: Path to output file (by default considers `stdout`) +- `-algorithm`: Either `random` or `greedy` (by default considers `greedy`) +- `-maxiter`: The number of iterations in case of random choice with multistart (by default considers `1`) +- `-seed`: The random seed for random choice with multistart (by default considers `None`) + +## Input file +The expected input file is a json with field "edges" which should be a list of lists (pairs) of edges from the graph. + +```json +{ + "edges": [ + [0, 1], + [2, 1], + [3, 0] + ] +} +``` diff --git a/maximum-indep-set-python/app.yaml b/maximum-indep-set-python/app.yaml new file mode 100644 index 0000000..9c9954f --- /dev/null +++ b/maximum-indep-set-python/app.yaml @@ -0,0 +1,9 @@ +# This manifest holds the information the app needs to run on the Nextmv Cloud. +type: python +runtime: ghcr.io/nextmv-io/runtime/pyomo:latest +# List all files/directories that should be included in the app. Globbing +# (e.g.: configs/*.json) is supported. +files: + - optimizer/*.py + - logs/*.json + - main.py diff --git a/maximum-indep-set-python/inputs/create.py b/maximum-indep-set-python/inputs/create.py new file mode 100644 index 0000000..43d73a8 --- /dev/null +++ b/maximum-indep-set-python/inputs/create.py @@ -0,0 +1,79 @@ +import argparse +import json +import random +from typing import Optional + + +def instance(n: int, frac: float, seed: Optional[int] = None) -> dict: + """Creates random instance of undirected graph + + Parameters + ---------- + n : int + Number of nodes + frac : float + Average connectivity + + seed : Optional[int], optional + Random generator seed, by default None + + Returns + ------- + dict + Data with keys: + - "nodes" : a list of integers + - "edges" : a list of lists of integers + - "n" : number of nodes + - "e" : number of edges + """ + + # Compute nodes and number of connections + nodes = list(range(n)) + edges = [] + k = max(1, int(n * n * frac / 2)) + random.seed(seed) + + # No connections if n = 1 + if n == 1: + k = 0 + + # Otherwise include pairs randomly + while k > 0: + i, j = random.sample(nodes, 2) + if [j, i] not in edges: + edges.append([i, j]) + k = k - 1 + + data = { + "nodes": nodes, + "edges": edges, + "n": n, + "e": len(edges) + } + return data + + +def parse_arguments(): + # Create the parser + parser = argparse.ArgumentParser() + + # Add arguments + parser.add_argument("n", type=int, help="Number of nodes") + parser.add_argument("frac", type=float, help="Average fraction of connections created from node") + parser.add_argument('--seed', type=int, default=None, help="Random seed for reproducibility (optional).") + + # Parse the arguments + args = parser.parse_args() + return args + + +def main(): + args = parse_arguments() + n, frac, seed = args.n, args.frac, args.seed + data = instance(n, frac, seed) + with open(f"n{n}_frac{frac}_s{seed}.json", mode="w", encoding="utf8") as file: + json.dump(data, file, indent=4) + + +if __name__ == "__main__": + main() diff --git a/maximum-indep-set-python/inputs/n100_frac0.3_s42.json b/maximum-indep-set-python/inputs/n100_frac0.3_s42.json new file mode 100644 index 0000000..9ab1698 --- 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100644 index 0000000..1671a69 --- /dev/null +++ b/maximum-indep-set-python/logs/config.json @@ -0,0 +1,27 @@ +{ + "version": 1, + "disable_existing_loggers": false, + "formatters": { + "standard": { + "format": "%(asctime)s - %(name)s - %(levelname)s - %(message)s", + "datefmt": "%Y-%m-%d %H:%M:%S" + } + }, + "handlers": { + "fileHandler": { + "class": "logging.FileHandler", + "formatter": "standard", + "filename": "logs/info.log", + "mode": "a", + "encoding": "utf-8" + }, + "consoleHandler": { + "class": "logging.StreamHandler", + "formatter": "standard" + } + }, + "root": { + "level": "INFO", + "handlers": ["fileHandler", "consoleHandler"] + } +} diff --git a/maximum-indep-set-python/main.py b/maximum-indep-set-python/main.py new file mode 100644 index 0000000..8e18bfc --- /dev/null +++ b/maximum-indep-set-python/main.py @@ -0,0 +1,109 @@ +""" +Main execution file in maximum-independent set problem +""" + +import argparse +import json +import logging +import logging.config +import os +from typing import List, Optional + +from optimizer import GreedyChoice, MultiRandom, read_input + + +log = logging.getLogger(__name__) + + +def setup_logging(): + logs_dir = os.path.join(os.path.dirname(__name__), "logs") + if not os.path.exists(logs_dir): + os.makedirs(logs_dir) + + # Load the logging configuration from the JSON file + config_path = os.path.join(logs_dir, "config.json") + if os.path.exists(config_path): + with open(config_path, "rt") as f: + config = json.load(f) + logging.config.dictConfig(config) + else: + print(f"Error: Could not find the logging configuration file {config_path}. Using default settings.") + + +def solve( + data: dict, + algo: Optional[str] = None, + maxiter: int = 1, + seed: Optional[int] = None +) -> List[int]: + if algo == "greedy" or algo is None: + G = GreedyChoice(data["edges"], nodes=data.get("nodes", None)) + G() + elif algo == "random": + G = MultiRandom(data["edges"], nodes=data.get("nodes", None), seed=seed) + G(n_iter=maxiter) + else: + raise ValueError(f"Algorithm should be 'greedy' or 'random' - {algo} is invalid") + sol = G.output + return sol + + +def main() -> None: + """Entry point for the template.""" + + parser = argparse.ArgumentParser() + parser.add_argument( + "--input", "-i", + default=None, + dest="input", + help="Path to input file. Default is stdin.", + ) + parser.add_argument( + "-output", + default=None, + dest="output", + help="Path to output file. Default is stdout.", + ) + parser.add_argument( + "-algorithm", + default=None, + dest="algorithm", + help="greedy or random", + ) + parser.add_argument( + "-seed", + default=None, + dest="seed", + type=int, + help="Random seed (in case of random choice)", + ) + parser.add_argument( + "-maxiter", + default=1, + dest="maxiter", + type=int, + help="Number of iterations in multistart - Only used in case of RandomChoice", + ) + args = parser.parse_args() + + # Read input data, solve the problem and write the solution. + input_data = read_input(args.input) + log.info("Solving maximum independent set problem problem:") + solution = solve(input_data) + solution = solve(input_data, args.algorithm, args.maxiter, args.seed) + write_output(args.output, solution) + + +def write_output(output_path, output) -> None: + """Writes the output to stdout or a given output file.""" + + content = json.dumps(output, indent=2) + if output_path: + with open(output_path, "w", encoding="utf-8") as file: + file.write(content + "\n") + else: + print(content) + + +if __name__ == "__main__": + main() diff --git a/maximum-indep-set-python/optimizer/__init__.py b/maximum-indep-set-python/optimizer/__init__.py new file mode 100644 index 0000000..9162769 --- /dev/null +++ b/maximum-indep-set-python/optimizer/__init__.py @@ -0,0 +1,2 @@ +from optimizer.dataloader import read_input +from optimizer.heuristic import GreedyChoice, MultiRandom, RandomChoice \ No newline at end of file diff --git a/maximum-indep-set-python/optimizer/dataloader.py b/maximum-indep-set-python/optimizer/dataloader.py new file mode 100644 index 0000000..bac4de4 --- /dev/null +++ b/maximum-indep-set-python/optimizer/dataloader.py @@ -0,0 +1,28 @@ +import json +import sys +from typing import Any, Dict, Optional + + +def read_input(input_path: Optional[str] = None) -> Dict[str, Any]: + """Given an input path returns a structured input + + Parameters + ---------- + input_path : Optional[str], optional + Input path (relative to main.py). By default None, which uses `sys.stdin` + + Returns + ------- + Dict[str, Any] + Structured data for solving problem in a dict with fields + - "nodes": list of integer with node ids + - "edges": list of lists with pairs of connected nodes + """ + input_file = {} + if input_path: + with open(input_path, encoding="utf-8") as file: + input_file = json.load(file) + else: + input_file = json.load(sys.stdin) + + return input_file diff --git a/maximum-indep-set-python/optimizer/graph.py b/maximum-indep-set-python/optimizer/graph.py new file mode 100644 index 0000000..b977dce --- /dev/null +++ b/maximum-indep-set-python/optimizer/graph.py @@ -0,0 +1,119 @@ +import copy +from typing import Dict, List, Optional, Tuple + + +class Node: + + neighbors: List['Node'] + index: int + selected: bool + + def __init__(self, index): + self.index = index + self.neighbors = [] + self.selected = False + + def __repr__(self) -> str: + return f"N{self.index}" + + def add_neighbor(self, node: 'Node'): + if node not in self.neighbors: + self.neighbors.append(node) + + def delete(self): + for n in self.neighbors: + n.neighbors.remove(self) + + @property + def degree(self): + return len(self.neighbors) + + +class Graph: + + N: Dict[int, Node] + history: List[Node] + + def __init__( + self, + edges: List[Tuple[int, int]], + nodes: Optional[List[int]] = None + ): + """Undirected Graph base class + + Parameters + ---------- + edges : List[Tuple[int, int]] + List of edges for which nodes can't be assigned to the same color + + nodes : Optional[List[int]], optional + List of node indexes for which colors should be defined, by default None + """ + + # Start the set + if nodes is None: + self.N = {} + else: + self.N = {i: Node(i) for i in nodes} + + # Include all neighbors + for i, j in edges: + self._new_edge(i, j) + + self.history = [] + + @property + def active_nodes(self): + return [node for node in self.N.values() if node.selected] + + @property + def inactive_nodes(self): + return [node for node in self.N.values() if not node.selected] + + @property + def nodelist(self): + return list(self.N.values()) + + @property + def queue(self): + return [n for n in self.nodelist if not n.selected] + + @property + def size(self): + return len(self.N) + + def _new_node(self, i: int): + if i not in self.N: + self.N[i] = Node(i) + + def _new_edge(self, i: int, j: int): + self._new_node(i) + self._new_node(j) + self.N[i].add_neighbor(self.N[j]) + self.N[j].add_neighbor(self.N[i]) + + def select(self, node: Node): + node.selected = True + selected_neighbors = node.neighbors.copy() + for n in selected_neighbors: + other = self.N.pop(n.index) + other.delete() + self.history.append(node) + + def deactivate(self): + for n in self.N.values(): + n.selected = False + + def activate(self): + for n in self.N.values(): + n.selected = True + + def copy(self): + """Creates deepcopy of a graph + + Returns + ------- + Graph + Deepcopy of instance + """ + return copy.deepcopy(self) diff --git a/maximum-indep-set-python/optimizer/heuristic.py b/maximum-indep-set-python/optimizer/heuristic.py new file mode 100644 index 0000000..4e07622 --- /dev/null +++ b/maximum-indep-set-python/optimizer/heuristic.py @@ -0,0 +1,110 @@ +import random +from abc import ABC, abstractmethod +from optimizer.graph import Graph, Node +from typing import List, Optional, Tuple + + +class BaseConstructive(ABC): + + graph: Graph + + def __init__( + self, + edges: List[Tuple[int, int]], + nodes: Optional[List[int]] = None, + ): + self.graph = Graph(edges, nodes) + + def __call__(self, *args, **kwargs): + S = self.solve(*args, **kwargs) + for i, n in S.N.items(): + self.graph.N[i].selected = n.selected + self.graph.history = S.history + + @property + def cost(self): + return len(self.graph.active_nodes) + + @property + def N(self): + return self.graph.N + + @property + def nodelist(self): + return self.graph.nodelist + + @property + def solution(self): + return self.graph.active_nodes + + @property + def statistics(self): + return { + "result": { + "value": self.cost, + }, + "schema": "v1", + } + + @property + def output(self): + return { + "solutions": [{"items": [n.index for n in self.solution]}], + "statistics": self.statistics, + } + + @property + def history(self): + return self.graph.history + + def solve(self, *args, **kwargs) -> Graph: + self.graph.deactivate() + G = self.graph.copy() + for i in range(len(G.N)): + n = self.choice(G) + G.select(n) + if len(G.queue) == 0: + assert len(G.N) == i + 1, "Unexpected behavior in remaining nodes and iterations" + break + + return G + + @abstractmethod + def choice(self, graph: Graph) -> Node: + pass + + +class RandomChoice(BaseConstructive): + + rng: random.Random + + def __init__( + self, + edges: List[Tuple[int, int]], + nodes: Optional[List[int]] = None, + seed=None + ): + super().__init__(edges, nodes) + self.rng = random.Random(seed) + + def choice(self, graph: Graph) -> Node: + return self.rng.choice(graph.queue) + + +class GreedyChoice(BaseConstructive): + + def choice(self, graph: Graph) -> Node: + return min([n for n in graph.queue], key=lambda x: x.degree) + + +class MultiRandom(RandomChoice): + + def solve(self, n_iter: int = 10) -> Graph: + best_sol = None + best_cost = 0 + for _ in range(n_iter): + G = super().solve() + if len(G.N) > best_cost: + best_cost = len(G.N) + best_sol = G + return best_sol diff --git a/maximum-indep-set-python/requirements.txt b/maximum-indep-set-python/requirements.txt new file mode 100644 index 0000000..e69de29