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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>
38 lines
1.1 KiB
Python
38 lines
1.1 KiB
Python
"""Quantum-style finance sandbox."""
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from __future__ import annotations
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from dataclasses import dataclass, field
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from typing import List
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import matplotlib.pyplot as plt
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import numpy as np
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@dataclass
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class QuantumFinanceSimulator:
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price: float
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volatility: float
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history: List[float] = field(default_factory=list)
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def step(self, samples: int = 1000) -> np.ndarray:
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"""Simulate a probabilistic price distribution."""
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distribution = np.random.normal(self.price, self.volatility, samples)
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self.history.append(distribution.mean())
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return distribution
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def observe(self, distribution: np.ndarray) -> float:
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"""Collapse the distribution to a single price."""
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self.price = float(np.random.choice(distribution))
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return self.price
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def plot(self, distribution: np.ndarray) -> plt.Figure:
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fig, ax = plt.subplots(2, 1, figsize=(6, 6))
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ax[0].hist(distribution, bins=30)
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ax[0].set_title("Probability distribution")
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ax[1].plot(self.history + [self.price])
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ax[1].set_title("Collapsed price over time")
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return fig
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