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| # Copyright 2024 Bytedance Ltd. and/or its affiliates | |
| # | |
| # Licensed under the Apache License, Version 2.0 (the "License"); | |
| # you may not use this file except in compliance with the License. | |
| # You may obtain a copy of the License at | |
| # | |
| # http://www.apache.org/licenses/LICENSE-2.0 | |
| # | |
| # Unless required by applicable law or agreed to in writing, software | |
| # distributed under the License is distributed on an "AS IS" BASIS, | |
| # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
| # See the License for the specific language governing permissions and | |
| # limitations under the License. | |
| import re | |
| from typing import Any, Dict, List | |
| # Constants for normalization | |
| SUBSTITUTIONS = [ | |
| ("an ", ""), | |
| ("a ", ""), | |
| (".$", "$"), | |
| ("\\$", ""), | |
| (r"\ ", ""), | |
| (" ", ""), | |
| ("mbox", "text"), | |
| (",\\text{and}", ","), | |
| ("\\text{and}", ","), | |
| ("\\text{m}", "\\text{}"), | |
| ] | |
| REMOVED_EXPRESSIONS = [ | |
| "square", | |
| "ways", | |
| "integers", | |
| "dollars", | |
| "mph", | |
| "inches", | |
| "hours", | |
| "km", | |
| "units", | |
| "\\ldots", | |
| "sue", | |
| "points", | |
| "feet", | |
| "minutes", | |
| "digits", | |
| "cents", | |
| "degrees", | |
| "cm", | |
| "gm", | |
| "pounds", | |
| "meters", | |
| "meals", | |
| "edges", | |
| "students", | |
| "childrentickets", | |
| "multiples", | |
| "\\text{s}", | |
| "\\text{.}", | |
| "\\text{\ns}", | |
| "\\text{}^2", | |
| "\\text{}^3", | |
| "\\text{\n}", | |
| "\\text{}", | |
| r"\mathrm{th}", | |
| r"^\circ", | |
| r"^{\circ}", | |
| r"\;", | |
| r",\!", | |
| "{,}", | |
| '"', | |
| "\\dots", | |
| ] | |
| def normalize_final_answer(final_answer: str) -> str: | |
| """Normalize a final answer to a quantitative reasoning question. | |
| Args: | |
| final_answer: The answer string to normalize | |
| Returns: | |
| Normalized answer string | |
| """ | |
| final_answer = final_answer.split("=")[-1] | |
| # Apply substitutions and removals | |
| for before, after in SUBSTITUTIONS: | |
| final_answer = final_answer.replace(before, after) | |
| for expr in REMOVED_EXPRESSIONS: | |
| final_answer = final_answer.replace(expr, "") | |
| # Extract and normalize LaTeX math | |
| final_answer = re.sub(r"(.*?)(\$)(.*?)(\$)(.*)", "$\\3$", final_answer) | |
| final_answer = re.sub(r"(\\text\{)(.*?)(\})", "\\2", final_answer) | |
| final_answer = re.sub(r"(\\textbf\{)(.*?)(\})", "\\2", final_answer) | |
| final_answer = re.sub(r"(\\overline\{)(.*?)(\})", "\\2", final_answer) | |
| final_answer = re.sub(r"(\\boxed\{)(.*)(\})", "\\2", final_answer) | |
| # Normalize shorthand TeX: | |
| # \fracab -> \frac{a}{b} | |
| # \frac{abc}{bef} -> \frac{abc}{bef} | |
| # \fracabc -> \frac{a}{b}c | |
| # \sqrta -> \sqrt{a} | |
| # \sqrtab -> sqrt{a}b | |
| final_answer = re.sub(r"(frac)([^{])(.)", "frac{\\2}{\\3}", final_answer) | |
| final_answer = re.sub(r"(sqrt)([^{])", "sqrt{\\2}", final_answer) | |
| final_answer = final_answer.replace("$", "") | |
| # Normalize numbers | |
| if final_answer.replace(",", "").isdigit(): | |
| final_answer = final_answer.replace(",", "") | |
| return final_answer.strip() | |
| def accuracy_reward(response: str, ground_truth: str) -> float: | |
| match = re.findall(r"(?i)Answer\s*:\s*([^\n]+)", response) | |
| answer = match[-1] if match else "[INVALID]" | |
| if normalize_final_answer(answer) == normalize_final_answer(ground_truth): | |
| return 1.0 | |
| else: | |
| return -1.0 | |
| def soft_overlong_punishment(response_length: int, max_response_length: int, overlong_buffer_length: int): | |
| expected_len = max_response_length - overlong_buffer_length | |
| if response_length <= expected_len: | |
| return 0.0 | |
| elif response_length <= max_response_length: | |
| return (expected_len - response_length) / overlong_buffer_length | |
| else: | |
| return -1.0 | |
| def compute_score( | |
| reward_inputs: List[Dict[str, Any]], | |
| max_response_length: int, | |
| overlong_buffer_length: int, | |
| overlong_penalty_factor: float, | |
| ) -> List[Dict[str, float]]: | |
| if not isinstance(reward_inputs, list): | |
| raise ValueError("Please use `reward_type=batch` for dapo reward function.") | |
| scores = [] | |
| for reward_input in reward_inputs: | |
| response = reward_input["response"][-300:] # The longest answer in MATH-500 has 159 characters | |
| accuracy_score = accuracy_reward(response, reward_input["ground_truth"]) | |
| overlong_score = soft_overlong_punishment( | |
| reward_input["response_length"], max_response_length, overlong_buffer_length | |
| ) | |
| scores.append( | |
| { | |
| "overall": accuracy_score + overlong_score * overlong_penalty_factor, | |
| "accuracy": accuracy_score, | |
| "overlong": overlong_score, | |
| "accuracy_normalized": 0.5 * (accuracy_score + 1.0), | |
| } | |
| ) | |
| return scores | |