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62 lines
2 KiB
Python
62 lines
2 KiB
Python
"""Computhe the power of a number."""
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from dataclasses import dataclass
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from math import pow
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from random import Random
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from typing import Dict, Optional
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from ..factory import ProceduralDataset, register_dataset
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QUESTION_TEMPLATE = """Compute {base}^{exponent}"""
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@dataclass
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class PowerFunctionConfig:
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"""Configuration for Power Function dataset generation"""
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min_base: float = -(10**6) # Minimum base value
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max_base: float = 10**6 # Maximum base value
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min_exponent: int = -50 # Minimum exponent value
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max_exponent: int = 50 # Maximum exponent value
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size: int = 500 # Virtual dataset size
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seed: Optional[int] = None
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class PowerFunctionDataset(ProceduralDataset):
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"""Generates Power Function exercises with configurable difficulty"""
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def __init__(self, config: PowerFunctionConfig):
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super().__init__(config=config, seed=config.seed, size=config.size)
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def score_answer(self, answer: Optional[str], entry: Dict[str, any]) -> float:
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"""Overwrite this method in derived classes if a single oracle answer is not available."""
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oracle_answer = entry["answer"]
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reward = 0.0
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if answer is not None:
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difference = abs(float(answer) - float(oracle_answer))
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if difference < 1e-6:
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reward = 1.0
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elif difference < 1e-1:
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reward = 0.5
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else:
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reward = 0.01
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return reward
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def __getitem__(self, idx: int) -> dict:
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"""Generate a single Power Function question"""
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rng = Random(self.seed + idx)
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base = rng.uniform(self.config.min_base, self.config.max_base)
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exponent = rng.randint(self.config.min_exponent, self.config.max_exponent)
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answer = pow(base, exponent)
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return {
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"question": f"Compute {base}^{exponent}",
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"answer": str(answer),
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"metadata": {"base": base, "exponent": exponent, "solution": answer},
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}
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register_dataset("power_function", PowerFunctionDataset, PowerFunctionConfig)
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