f5f1551964
Lucidia Math - Advanced mathematical engines: forge/ - Mathematical Foundations: - consciousness.py (650 lines) - Consciousness modeling - unified_geometry.py (402 lines) - Geometric transformations - advanced_tools.py (356 lines) - Advanced utilities - main.py (209 lines) - CLI orchestration - numbers.py, proofs.py, fractals.py, dimensions.py lab/ - Experimental Mathematics: - unified_geometry_engine.py (492 lines) - Geometry engine - amundson_equations.py (284 lines) - Custom equations - iterative_math_build.py (198 lines) - Iterative construction - trinary_logic.py (111 lines) - Three-valued logic - prime_explorer.py (108 lines) - Prime exploration - quantum_finance.py (83 lines) - Quantum finance models 3,664 lines of Python. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
79 lines
3.1 KiB
Python
79 lines
3.1 KiB
Python
"""Lucidia Math Lab modules with optional backend selection."""
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from __future__ import annotations
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from importlib import import_module
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from typing import Any, Dict, Tuple
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__all__ = [
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"TrinaryLogicEngine",
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"ulam_spiral",
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"residue_grid",
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"fourier_prime_gaps",
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"RecursiveSandbox",
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"superposition",
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"classify_wave",
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"QuantumFinanceSimulator",
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"available_backends",
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"backend_names",
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"select_backend",
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"GaussianSignalAnalyzer",
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"ArithmeticSymmetryEngine",
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"ComplexMatrixMapper",
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"QuaternionicRotationEngine",
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"QuantumFieldManifold",
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"FractalMobiusCoupler",
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"NoetherAnalyzer",
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"EntropyFieldMapper",
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"HilbertPhaseAnalyzer",
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"AmundsonCoherenceModel",
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"coherence",
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"decoherence_energy",
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"phase_derivative",
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"amundson_energy_balance",
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"amundson_learning_update",
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]
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_MODULE_MAP: Dict[str, Tuple[str, str]] = {
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"TrinaryLogicEngine": ("trinary_logic", "TrinaryLogicEngine"),
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"SimpleDiGraph": ("trinary_logic", "SimpleDiGraph"),
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"SimpleEdge": ("trinary_logic", "SimpleEdge"),
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"ulam_spiral": ("prime_explorer", "ulam_spiral"),
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"residue_grid": ("prime_explorer", "residue_grid"),
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"fourier_prime_gaps": ("prime_explorer", "fourier_prime_gaps"),
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"RecursiveSandbox": ("recursion_sandbox", "RecursiveSandbox"),
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"superposition": ("sine_wave_codex", "superposition"),
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"classify_wave": ("sine_wave_codex", "classify_wave"),
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"QuantumFinanceSimulator": ("quantum_finance", "QuantumFinanceSimulator"),
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"available_backends": ("frameworks", "available_backends"),
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"backend_names": ("frameworks", "backend_names"),
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"select_backend": ("frameworks", "select_backend"),
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"GaussianSignalAnalyzer": ("unified_geometry_engine", "GaussianSignalAnalyzer"),
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"ArithmeticSymmetryEngine": ("unified_geometry_engine", "ArithmeticSymmetryEngine"),
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"ComplexMatrixMapper": ("unified_geometry_engine", "ComplexMatrixMapper"),
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"QuaternionicRotationEngine": ("unified_geometry_engine", "QuaternionicRotationEngine"),
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"QuantumFieldManifold": ("unified_geometry_engine", "QuantumFieldManifold"),
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"FractalMobiusCoupler": ("unified_geometry_engine", "FractalMobiusCoupler"),
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"NoetherAnalyzer": ("unified_geometry_engine", "NoetherAnalyzer"),
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"EntropyFieldMapper": ("unified_geometry_engine", "EntropyFieldMapper"),
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"HilbertPhaseAnalyzer": ("unified_geometry_engine", "HilbertPhaseAnalyzer"),
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"AmundsonCoherenceModel": ("amundson_equations", "AmundsonCoherenceModel"),
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"coherence": ("amundson_equations", "coherence"),
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"decoherence_energy": ("amundson_equations", "decoherence_energy"),
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"phase_derivative": ("amundson_equations", "phase_derivative"),
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"amundson_energy_balance": ("amundson_equations", "amundson_energy_balance"),
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"amundson_learning_update": ("amundson_equations", "amundson_learning_update"),
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}
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def __getattr__(name: str) -> Any:
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if name not in _MODULE_MAP:
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raise AttributeError(f"module {__name__!r} has no attribute {name!r}")
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module_name, attr_name = _MODULE_MAP[name]
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module = import_module(f".{module_name}", __name__)
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return getattr(module, attr_name)
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def __dir__() -> list[str]:
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return sorted(__all__)
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