Files
universal-computer/tests/test_utm.py
Alexa Amundson efffc8e4d6 Add CI pipeline, 15-test suite, enhanced README
- GitHub Actions CI: Python 3.10/3.11/3.12, pytest, smoke tests
- Tests: tape representation, incrementer, even/odd, halt detection,
  step limits, missing transitions, stay direction
- README with badges, theory section, machine creation docs

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

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2026-03-09 16:25:11 -05:00

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Python

"""Tests for the Universal Turing Machine simulator."""
import json
import os
import pytest
import sys
sys.path.insert(0, os.path.join(os.path.dirname(__file__), '..'))
from utm import TuringMachine, parse_tape, tape_to_string
MACHINES_DIR = os.path.join(os.path.dirname(__file__), '..', 'machines')
def load_machine(name: str) -> TuringMachine:
path = os.path.join(MACHINES_DIR, name)
with open(path, 'r') as f:
return TuringMachine(json.load(f))
# ── Tape representation ────────────────────────────────────────────────────
class TestTape:
def test_parse_tape_basic(self):
tape = parse_tape("1101", "_")
assert tape == {0: "1", 1: "1", 2: "0", 3: "1"}
def test_parse_tape_empty(self):
tape = parse_tape("", "_")
assert tape == {}
def test_parse_tape_with_blanks(self):
tape = parse_tape("1_0", "_")
assert tape == {0: "1", 2: "0"}
def test_tape_to_string(self):
tape = {0: "1", 1: "1", 2: "1", 3: "0"}
assert tape_to_string(tape, "_") == "1110"
def test_tape_to_string_empty(self):
assert tape_to_string({}, "_") == ""
def test_tape_to_string_with_gaps(self):
tape = {0: "1", 2: "1"}
result = tape_to_string(tape, "_")
assert result == "1_1"
# ── Incrementer machine ────────────────────────────────────────────────────
class TestIncrementer:
def test_increment_unary_3(self):
"""111 (unary 3) should become 1111 (unary 4)."""
tm = load_machine("incrementer.json")
tape = parse_tape("111", tm.blank)
final_tape, steps, state = tm.run(tape)
result = tape_to_string(final_tape, tm.blank)
assert result == "1111"
assert state == tm.halt
def test_increment_unary_1(self):
"""1 (unary 1) should become 11 (unary 2)."""
tm = load_machine("incrementer.json")
tape = parse_tape("1", tm.blank)
final_tape, steps, state = tm.run(tape)
result = tape_to_string(final_tape, tm.blank)
assert result == "11"
def test_increment_empty(self):
"""Empty tape should become 1 (unary 1)."""
tm = load_machine("incrementer.json")
tape = parse_tape("", tm.blank)
final_tape, steps, state = tm.run(tape)
result = tape_to_string(final_tape, tm.blank)
assert result == "1"
# ── Even/odd machine ──────────────────────────────────────────────────────
class TestEvenOdd:
def test_even_length(self):
tm = load_machine("even_odd.json")
tape = parse_tape("1111", tm.blank)
final_tape, steps, state = tm.run(tape)
assert state == tm.halt
def test_odd_length(self):
tm = load_machine("even_odd.json")
tape = parse_tape("111", tm.blank)
final_tape, steps, state = tm.run(tape)
assert state == tm.halt
# ── Machine behavior ──────────────────────────────────────────────────────
class TestMachineBehavior:
def test_halts_within_step_limit(self):
tm = load_machine("incrementer.json")
tape = parse_tape("1", tm.blank)
_, steps, _ = tm.run(tape, max_steps=100)
assert steps < 100
def test_step_limit_prevents_infinite_loop(self):
"""A machine that never halts should stop at max_steps."""
desc = {
"states": ["q0"],
"alphabet": ["0", "1"],
"blank": "_",
"transitions": {"q0:0": ["q0", "1", "R"], "q0:1": ["q0", "0", "R"], "q0:_": ["q0", "0", "R"]},
"start": "q0",
"halt": "halt"
}
tm = TuringMachine(desc)
tape = parse_tape("0", tm.blank)
_, steps, state = tm.run(tape, max_steps=50)
assert steps == 50
assert state != tm.halt
def test_missing_transition_stops(self):
"""Machine should stop when no transition exists."""
desc = {
"states": ["q0", "halt"],
"alphabet": ["a"],
"blank": "_",
"transitions": {},
"start": "q0",
"halt": "halt"
}
tm = TuringMachine(desc)
tape = parse_tape("a", tm.blank)
_, steps, state = tm.run(tape)
assert steps == 0
assert state == "q0"
def test_stay_direction(self):
"""S direction should not move the head."""
desc = {
"states": ["q0", "halt"],
"alphabet": ["a"],
"blank": "_",
"transitions": {"q0:a": ["halt", "b", "S"]},
"start": "q0",
"halt": "halt"
}
tm = TuringMachine(desc)
tape = parse_tape("a", "_")
final_tape, steps, state = tm.run(tape)
assert state == "halt"
assert final_tape[0] == "b"
assert steps == 1