mirror of
https://github.com/open-thought/reasoning-gym.git
synced 2026-04-19 12:58:07 +00:00
123 lines
5.5 KiB
Python
123 lines
5.5 KiB
Python
"""Fraction simplification task generator"""
|
|
|
|
from dataclasses import dataclass
|
|
from math import gcd
|
|
from random import Random
|
|
from typing import Optional, Sequence, Tuple
|
|
|
|
from ..factory import ProceduralDataset, register_dataset
|
|
|
|
|
|
@dataclass
|
|
class FractionSimplificationConfig:
|
|
"""Configuration for fraction simplification task generation"""
|
|
|
|
min_value: int = 1 # Minimum value for numerator/denominator
|
|
max_value: int = 1000 # Maximum value for numerator/denominator
|
|
min_factor: int = 1 # Minimum multiplication factor
|
|
max_factor: int = 100 # Maximum multiplication factor
|
|
styles: Sequence[str] = ("plain", "latex_inline", "latex_frac", "latex_dfrac") # Allowed fraction formatting styles
|
|
seed: Optional[int] = None
|
|
size: int = 500 # Virtual dataset size
|
|
|
|
def validate(self) -> None:
|
|
"""Validate configuration parameters"""
|
|
assert self.min_value > 0, "min_value must be positive"
|
|
assert self.max_value > self.min_value, "max_value must be > min_value"
|
|
assert self.min_factor >= 1, "min_factor must be at least 1"
|
|
assert self.max_factor >= self.min_factor, "max_factor must be >= min_factor"
|
|
|
|
# Validate styles
|
|
valid_styles = {"plain", "latex_inline", "latex_frac", "latex_dfrac"}
|
|
for style in self.styles:
|
|
assert style in valid_styles, f"Invalid style: {style}. Must be one of {valid_styles}"
|
|
|
|
|
|
class FractionSimplificationDataset(ProceduralDataset):
|
|
"""Generates fraction simplification tasks"""
|
|
|
|
def __init__(self, config: FractionSimplificationConfig):
|
|
super().__init__(config=config, seed=config.seed, size=config.size)
|
|
|
|
def _generate_fraction(self, rng: Random) -> Tuple[int, int, int, int]:
|
|
"""Generate a random fraction and its simplified form.
|
|
Returns (numerator, denominator, simplified_num, simplified_den)"""
|
|
# Try to generate valid fractions until we get one that meets our criteria
|
|
for _ in range(10): # Limit attempts to avoid infinite loop
|
|
# Generate the simplified fraction first
|
|
simplified_num = rng.randint(self.config.min_value, self.config.max_value)
|
|
simplified_den = rng.randint(self.config.min_value, self.config.max_value)
|
|
|
|
# Make sure they're coprime by dividing by their GCD
|
|
common = gcd(simplified_num, simplified_den)
|
|
simplified_num //= common
|
|
simplified_den //= common
|
|
|
|
# Check if simplified fraction is within bounds
|
|
if (
|
|
self.config.min_value <= simplified_num <= self.config.max_value
|
|
and self.config.min_value <= simplified_den <= self.config.max_value
|
|
):
|
|
# Ensure numerator is smaller than denominator
|
|
if simplified_num > simplified_den:
|
|
simplified_num, simplified_den = simplified_den, simplified_num
|
|
|
|
# Multiply both by a random factor to create the unsimplified version
|
|
factor = rng.randint(self.config.min_factor, self.config.max_factor)
|
|
numerator = simplified_num * factor
|
|
denominator = simplified_den * factor
|
|
return numerator, denominator, simplified_num, simplified_den
|
|
|
|
# If we failed to find a good fraction after max attempts,
|
|
# generate one that's guaranteed to be within bounds
|
|
simplified_num = rng.randint(self.config.min_value, self.config.max_value)
|
|
simplified_den = rng.randint(self.config.min_value, self.config.max_value)
|
|
|
|
# Ensure numerator is smaller than denominator
|
|
if simplified_num > simplified_den:
|
|
simplified_num, simplified_den = simplified_den, simplified_num
|
|
|
|
factor = rng.randint(self.config.min_factor, self.config.max_factor)
|
|
return (simplified_num * factor, simplified_den * factor, simplified_num, simplified_den)
|
|
|
|
def _format_fraction(self, num: int, den: int, style: str = "plain") -> str:
|
|
"""Format a fraction in various styles"""
|
|
if style == "plain":
|
|
return f"{num}/{den}"
|
|
elif style == "latex_inline":
|
|
return f"${num}/{den}$"
|
|
elif style == "latex_frac":
|
|
return f"$\\frac{{{num}}}{{{den}}}$"
|
|
elif style == "latex_dfrac":
|
|
return f"$\\dfrac{{{num}}}{{{den}}}$"
|
|
else:
|
|
raise ValueError(f"Unknown fraction style: {style}")
|
|
|
|
def __getitem__(self, idx: int) -> dict:
|
|
"""Generate a single fraction simplification task"""
|
|
rng = Random(self.seed + idx)
|
|
|
|
num, den, simple_num, simple_den = self._generate_fraction(rng)
|
|
|
|
# Choose a random style from configured styles
|
|
style = self.config.styles[rng.randint(0, len(self.config.styles) - 1)]
|
|
|
|
# Format both question and answer in the same style
|
|
question_fraction = self._format_fraction(num, den, style)
|
|
answer_fraction = self._format_fraction(simple_num, simple_den, style)
|
|
|
|
return {
|
|
"question": f"Simplify the fraction {question_fraction} to its lowest terms",
|
|
"answer": answer_fraction,
|
|
"metadata": {
|
|
"numerator": num,
|
|
"denominator": den,
|
|
"simplified_numerator": simple_num,
|
|
"simplified_denominator": simple_den,
|
|
"reduction_factor": num // simple_num, # Will be same as den // simple_den
|
|
"style": style,
|
|
},
|
|
}
|
|
|
|
|
|
register_dataset("fraction_simplification", FractionSimplificationDataset, FractionSimplificationConfig)
|