mirror of
https://github.com/blackboxprogramming/BlackRoad-Operating-System.git
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0108860bff
Create comprehensive research-lab pack structure with mathematical and quantum computing modules from blackroad-prism-console: Math Modules: - hilbert_core.py: Hilbert space symbolic reasoning - collatz/: Distributed Collatz conjecture verification - linmath/: Linear mathematics C library - lucidia_math_forge/: Symbolic proof engine - lucidia_math_lab/: Experimental mathematics Quantum Modules: - lucidia_quantum/: Quantum core - quantum_engine/: Circuit simulation Experiments: - br_math/: Gödel gap, quantum experiments Includes pack.yaml manifest and comprehensive README. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
106 lines
3.3 KiB
Python
106 lines
3.3 KiB
Python
"""Lucidia Math Forge interactive shell."""
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from __future__ import annotations
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import cmd
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import json
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import sys
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from pathlib import Path
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from .dimensions import HyperPoint, hyper_equation, plot_projection
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from .fractals import generate_fractal
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from .numbers import Infinitesimal, SurrealNumber, WaveNumber
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from .operators import infinite_fold, paradox_merge
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from .proofs import ProofEngine
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from .sinewave import SineWave, test_properties
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class LucidiaShell(cmd.Cmd):
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intro = "Welcome to the Lucidia Math Forge. Type help or ? to list commands."
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prompt = "forge> "
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def __init__(self) -> None:
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super().__init__()
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self.engine = ProofEngine()
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self.history: list[dict[str, str]] = []
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def do_numbers(self, arg: str) -> None:
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"""Demonstrate the alternative number systems."""
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s = SurrealNumber(1, 2) + SurrealNumber(3, 4)
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i = Infinitesimal(1, 1) * Infinitesimal(2, -0.5)
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w = WaveNumber(2, 1) * WaveNumber(0.5, 3)
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print("Surreal:", s)
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print("Infinitesimal:", i)
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print("Wave:", w)
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self.history.append({"numbers": "shown"})
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def do_operator(self, arg: str) -> None:
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"""Demonstrate custom operators."""
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merged = paradox_merge(3, 1)
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folded = infinite_fold(lambda a, b: a + b, [1, 2, 3])
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print("paradox_merge(3,1) ->", merged)
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print("infinite_fold sum ->", folded)
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self.history.append({"operator": str(merged)})
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def do_proof(self, arg: str) -> None:
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"""Assume a statement: ``proof <statement>``."""
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statement = arg.strip()
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self.engine.assume(statement)
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self.history.append({"assume": statement})
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print("Assumed", statement)
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def do_fractal(self, arg: str) -> None:
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"""Generate a fractal image."""
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filename = generate_fractal()
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self.history.append({"fractal": filename})
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print("Fractal written to", filename)
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def do_dimension(self, arg: str) -> None:
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"""Plot 4D points projected into 3D."""
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pts = [HyperPoint([x, x, x, hyper_equation(x, x, x)]) for x in range(3)]
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filename = plot_projection(pts)
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self.history.append({"projection": filename})
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print("Projection saved to", filename)
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def do_sine(self, arg: str) -> None:
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"""Test sine wave algebra properties."""
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waves = [SineWave(1, 1), SineWave(2, 3), SineWave(-1, -0.5)]
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test_properties(waves)
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self.history.append({"sine_test": "done"})
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print("Sine wave algebra tested; see contradiction log for issues.")
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def do_save(self, arg: str) -> None:
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"""Save session history to JSON: ``save <file>``."""
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path = Path(arg.strip() or "session.json")
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path.write_text(json.dumps(self.history, indent=2))
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print("History saved to", path)
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def do_exit(self, arg: str) -> bool: # pragma: no cover - interactive
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"""Exit the REPL."""
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return True
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def main() -> None:
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shell = LucidiaShell()
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if len(sys.argv) > 1 and sys.argv[1] == "--demo":
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shell.do_numbers("")
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shell.do_operator("")
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shell.do_proof("p")
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shell.do_fractal("")
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shell.do_dimension("")
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shell.do_sine("")
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shell.do_save("demo_session.json")
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else:
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shell.cmdloop()
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if __name__ == "__main__":
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main()
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