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formatting
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37 changed files with 504 additions and 666 deletions
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@ -1,21 +1,24 @@
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"""Fraction simplification task generator"""
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from dataclasses import dataclass
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from random import Random
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from typing import Optional, Tuple, Sequence
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from ..dataset import ProceduralDataset
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from math import gcd
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from random import Random
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from typing import Optional, Sequence, Tuple
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from ..dataset import ProceduralDataset
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@dataclass
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class FractionSimplificationConfig:
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"""Configuration for fraction simplification task generation"""
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min_value: int = 1 # Minimum value for numerator/denominator
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max_value: int = 1000 # Maximum value for numerator/denominator
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min_factor: int = 1 # Minimum multiplication factor
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max_factor: int = 100 # Maximum multiplication factor
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min_value: int = 1 # Minimum value for numerator/denominator
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max_value: int = 1000 # Maximum value for numerator/denominator
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min_factor: int = 1 # Minimum multiplication factor
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max_factor: int = 100 # Maximum multiplication factor
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styles: Sequence[str] = ("plain", "latex_inline", "latex_frac", "latex_dfrac") # Allowed fraction formatting styles
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seed: Optional[int] = None
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size: int = 500 # Virtual dataset size
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size: int = 500 # Virtual dataset size
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def validate(self):
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"""Validate configuration parameters"""
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@ -23,7 +26,7 @@ class FractionSimplificationConfig:
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assert self.max_value > self.min_value, "max_value must be > min_value"
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assert self.min_factor >= 1, "min_factor must be at least 1"
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assert self.max_factor >= self.min_factor, "max_factor must be >= min_factor"
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# Validate styles
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valid_styles = {"plain", "latex_inline", "latex_frac", "latex_dfrac"}
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for style in self.styles:
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@ -46,37 +49,38 @@ class FractionSimplificationDataset(ProceduralDataset):
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# Generate the simplified fraction first
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simplified_num = rng.randint(self.config.min_value, self.config.max_value)
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simplified_den = rng.randint(self.config.min_value, self.config.max_value)
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# Make sure they're coprime by dividing by their GCD
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common = gcd(simplified_num, simplified_den)
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simplified_num //= common
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simplified_den //= common
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# Check if simplified fraction is within bounds
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if (self.config.min_value <= simplified_num <= self.config.max_value and
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self.config.min_value <= simplified_den <= self.config.max_value):
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if (
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self.config.min_value <= simplified_num <= self.config.max_value
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and self.config.min_value <= simplified_den <= self.config.max_value
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):
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# Ensure numerator is smaller than denominator
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if simplified_num > simplified_den:
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simplified_num, simplified_den = simplified_den, simplified_num
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# Multiply both by a random factor to create the unsimplified version
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factor = rng.randint(self.config.min_factor, self.config.max_factor)
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numerator = simplified_num * factor
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denominator = simplified_den * factor
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return numerator, denominator, simplified_num, simplified_den
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# If we failed to find a good fraction after max attempts,
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# generate one that's guaranteed to be within bounds
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simplified_num = rng.randint(self.config.min_value, self.config.max_value)
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simplified_den = rng.randint(self.config.min_value, self.config.max_value)
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# Ensure numerator is smaller than denominator
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if simplified_num > simplified_den:
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simplified_num, simplified_den = simplified_den, simplified_num
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factor = rng.randint(self.config.min_factor, self.config.max_factor)
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return (simplified_num * factor, simplified_den * factor,
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simplified_num, simplified_den)
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return (simplified_num * factor, simplified_den * factor, simplified_num, simplified_den)
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def _format_fraction(self, num: int, den: int, style: str = "plain") -> str:
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"""Format a fraction in various styles"""
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@ -95,16 +99,16 @@ class FractionSimplificationDataset(ProceduralDataset):
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def __getitem__(self, idx: int) -> dict:
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"""Generate a single fraction simplification task"""
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rng = Random(self.seed + idx)
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num, den, simple_num, simple_den = self._generate_fraction(rng)
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# Choose a random style from configured styles
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style = self.config.styles[rng.randint(0, len(self.config.styles)-1)]
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style = self.config.styles[rng.randint(0, len(self.config.styles) - 1)]
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# Format both question and answer in the same style
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question_fraction = self._format_fraction(num, den, style)
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answer_fraction = self._format_fraction(simple_num, simple_den, style)
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return {
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"question": f"Simplify the fraction {question_fraction} to its lowest terms",
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"answer": answer_fraction,
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@ -114,8 +118,8 @@ class FractionSimplificationDataset(ProceduralDataset):
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"simplified_numerator": simple_num,
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"simplified_denominator": simple_den,
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"reduction_factor": num // simple_num, # Will be same as den // simple_den
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"style": style
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}
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"style": style,
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},
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}
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