Create python generator files for gsm symbolic templates

reasoning_gym/arithmetic/gsm_symbolic/generator_8.py

@@ -0,0 +1,57 @@
+from random import Random
+from typing import Dict, Any
+
+def generate_from_variables(name: str, drink: str, sugar_ratio: int, water_ratio: int, 
+                          total_items: int) -> Dict[str, Any]:
+    total_ratio = sugar_ratio + water_ratio
+    sugar_amount = (sugar_ratio * total_items) // total_ratio
+    
+    question = f"{name} makes {drink} using teaspoons of sugar and cups of water in the ratio of {sugar_ratio}:{water_ratio}. If she used a total of {total_items} teaspoons of sugar and cups of water, calculate the number of teaspoonfuls of sugar she used."
+    
+    answer_cot = f"The total ratio representing the ingredients she used to make the {drink} is {sugar_ratio}+{water_ratio} = {total_ratio}\nSince the fraction representing the number of teaspoons she used is {sugar_ratio}/{total_ratio}, she used {sugar_ratio}/{total_ratio}*{total_items} = {sugar_amount}\n#### {sugar_amount}"
+    
+    return {
+        'question': question,
+        'answer': str(sugar_amount),
+        'answer_cot': answer_cot,
+        'answer_value': sugar_amount,
+        'variables': {
+            'name': name,
+            'drink': drink,
+            'sugar_ratio': sugar_ratio,
+            'water_ratio': water_ratio,
+            'total_items': total_items,
+            'sugar_amount': sugar_amount
+        }
+    }
+
+def generate_example(rng: Random, difficulty: float = 1.0) -> Dict[str, Any]:
+    names_female = ['Emma', 'Olivia', 'Ava', 'Isabella', 'Sophia', 'Mia', 'Charlotte']
+    drinks = ['coffee', 'tea']
+    
+    name = rng.choice(names_female)
+    drink = rng.choice(drinks)
+    
+    sugar_ratio = int(rng.randint(25, int(201 * difficulty)))
+    water_ratio = int(rng.randint(5, int(101 * difficulty)))
+    
+    # Ensure total is divisible by ratio sum
+    total_ratio = sugar_ratio + water_ratio
+    num_multiples = rng.randint(1, int(10 * difficulty))
+    total_items = total_ratio * num_multiples
+    
+    result = generate_from_variables(name, drink, sugar_ratio, water_ratio, total_items)
+    
+    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("Katy", "coffee", 7, 13, 120)