reasoning-gym/reasoning_gym/arithmetic/gsm_symbolic/generator_26.py

57 lines
2.1 KiB
Python

from random import Random
from typing import Dict, Any
def generate_from_variables(n: int, ball_type: str, color: str, frac_1: float, frac_2: float) -> Dict[str, Any]:
first_calc = int(n * frac_1)
final_calc = int(first_calc * frac_2)
question = f"A juggler can juggle {n} balls. {frac_1:.0%} of the balls are {ball_type} balls, and {frac_2:.0%} of the {ball_type} balls are {color}. How many {color} {ball_type} balls are there?"
answer_cot = f"{ball_type} balls:{n} * {frac_1}={first_calc}\n{color} {ball_type} balls:{first_calc}*{frac_2}={final_calc} balls\n#### {final_calc}"
return {
'question': question,
'answer': str(final_calc),
'answer_cot': answer_cot,
'answer_value': final_calc,
'variables': {
'total_balls': n,
'ball_type': ball_type,
'color': color,
'fraction_first': frac_1,
'fraction_second': frac_2,
'first_calculation': first_calc,
'final_calculation': final_calc
}
}
def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
ball_types = ["golf", "tennis"]
colors = ["blue", "red", "green", "yellow", "white"]
fractions = [0.5, 0.25, 0.75]
ball_type = rng.choice(ball_types)
color = rng.choice(colors)
frac_1 = rng.choice(fractions)
frac_2 = rng.choice(fractions)
# Generate n that ensures integer results
n = int(rng.randint(10, int(100 * difficulty)))
while not (n * frac_1).is_integer() or not (n * frac_1 * frac_2).is_integer():
n = int(rng.randint(10, int(100 * difficulty)))
result = generate_from_variables(n, ball_type, color, frac_1, frac_2)
return {
'question': result['question'],
'answer': result['answer'],
'metadata': {
'difficulty': difficulty,
'answer_value': result['answer_value'],
'answer_cot': result['answer_cot'],
'variables': result['variables']
}
}
def original_example() -> Dict[str, Any]:
return generate_from_variables(16, "golf", "blue", 0.5, 0.5)