# Answer parsing and normalization code, from # https://github.com/ruixiangcui/AGIEval/blob/main/src/ # math_equivalence.py and post_process.py import re from typing import Dict, List import numpy as np def parse_math_answer(raw_string): def remove_boxed(s): left = "\\boxed{" try: assert s[: len(left)] == left assert s[-1] == "}" answer = s[len(left) : -1] if "=" in answer: answer = answer.split("=")[-1].lstrip(" ") return answer except Exception: return None def last_boxed_only_string(string): idx = string.rfind("\\boxed") if idx < 0: idx = string.rfind("\\fbox") if idx < 0: return None i = idx right_brace_idx = None num_left_braces_open = 0 while i < len(string): if string[i] == "{": num_left_braces_open += 1 if string[i] == "}": num_left_braces_open -= 1 if num_left_braces_open == 0: right_brace_idx = i break i += 1 if right_brace_idx is None: retval = None else: retval = string[idx : right_brace_idx + 1] return retval def get_answer_with_dollar_sign(s): first_pattern = "\$(.*)\$" last_match = None matches = re.findall(first_pattern, s) if matches: last_match = matches[-1] if "=" in last_match: last_match = last_match.split("=")[-1].lstrip(" ") return last_match def get_answer_without_dollar_sign(s): last_match = None if "=" in s: last_match = s.split("=")[-1].lstrip(" ").rstrip(".") if "\\n" in last_match: last_match = last_match.split("\\n")[0] else: pattern = "(?:\\$)?\d+(?:\.\d+)?(?![\w\d])" matches = re.findall(pattern, s) if matches: last_match = matches[-1] return last_match if "\\boxed" in raw_string: answer = remove_boxed(last_boxed_only_string(raw_string)) else: answer = get_answer_with_dollar_sign(raw_string) if not answer: answer = get_answer_without_dollar_sign(raw_string) return answer # code from https://github.com/hendrycks/math/blob/main/modeling/math_equivalence.py def _fix_fracs(string): substrs = string.split("\\frac") new_str = substrs[0] if len(substrs) > 1: substrs = substrs[1:] for substr in substrs: new_str += "\\frac" if substr[0] == "{": new_str += substr else: try: assert len(substr) >= 2 except Exception: return string a = substr[0] b = substr[1] if b != "{": if len(substr) > 2: post_substr = substr[2:] new_str += "{" + a + "}{" + b + "}" + post_substr else: new_str += "{" + a + "}{" + b + "}" else: if len(substr) > 2: post_substr = substr[2:] new_str += "{" + a + "}" + b + post_substr else: new_str += "{" + a + "}" + b string = new_str return string def _fix_a_slash_b(string): if len(string.split("/")) != 2: return string a = string.split("/")[0] b = string.split("/")[1] try: a = int(a) b = int(b) assert string == "{}/{}".format(a, b) new_string = "\\frac{" + str(a) + "}{" + str(b) + "}" return new_string except Exception: return string def _remove_right_units(string): # "\\text{ " only ever occurs (at least in the val set) when describing units if "\\text{ " in string: splits = string.split("\\text{ ") assert len(splits) == 2 return splits[0] else: return string def _fix_sqrt(string): if "\\sqrt" not in string: return string splits = string.split("\\sqrt") new_string = splits[0] for split in splits[1:]: if split[0] != "{": a = split[0] new_substr = "\\sqrt{" + a + "}" + split[1:] else: new_substr = "\\sqrt" + split new_string += new_substr return new_string def _strip_string(string): # linebreaks string = string.replace("\n", "") # print(string) # remove inverse spaces string = string.replace("\\!", "") # print(string) # replace \\ with \ string = string.replace("\\\\", "\\") # print(string) # replace tfrac and dfrac with frac string = string.replace("tfrac", "frac") string = string.replace("dfrac", "frac") # print(string) # remove \left and \right string = string.replace("\\left", "") string = string.replace("\\right", "") # print(string) # Remove circ (degrees) string = string.replace("^{\\circ}", "") string = string.replace("^\\circ", "") # remove dollar signs string = string.replace("\\$", "") # remove units (on the right) string = _remove_right_units(string) # remove percentage string = string.replace("\\%", "") string = string.replace("\%", "") # " 0." equivalent to " ." and "{0." equivalent to "{." Alternatively, add "0" if "." is the start of the string string = string.replace(" .", " 0.") string = string.replace("{.", "{0.") # if empty, return empty string if len(string) == 0: return string if string[0] == ".": string = "0" + string # to consider: get rid of e.g. "k = " or "q = " at beginning if len(string.split("=")) == 2: if len(string.split("=")[0]) <= 2: string = string.split("=")[1] # fix sqrt3 --> sqrt{3} string = _fix_sqrt(string) # remove spaces string = string.replace(" ", "") # \frac1b or \frac12 --> \frac{1}{b} and \frac{1}{2}, etc. Even works with \frac1{72} (but not \frac{72}1). Also does a/b --> \\frac{a}{b} string = _fix_fracs(string) # manually change 0.5 --> \frac{1}{2} if string == "0.5": string = "\\frac{1}{2}" # NOTE: X/Y changed to \frac{X}{Y} in dataset, but in simple cases fix in case the model output is X/Y string = _fix_a_slash_b(string) return string def is_equiv(str1, str2, verbose=False): if str1 is None and str2 is None: print("WARNING: Both None") return True if str1 is None or str2 is None: return False str1, str2 = parse_math_answer(str1), parse_math_answer(str2) try: ss1 = _strip_string(str1) ss2 = _strip_string(str2) if verbose: print(ss1, ss2) return ss1 == ss2 except Exception: return str1 == str2 def process_results(doc: dict, results: List[str]) -> Dict[str, int]: candidate = results[0] gold = doc["answer"] if not gold: print(doc, candidate, gold) if is_equiv(candidate, gold): retval = 1 else: retval = 0 results = { "acc": retval, } return results # use a custom process_results() function, because AGIEval can have multiple valid answers def process_results_mcqa(doc, results): results = [result[0] for result in results] gold = doc["gold"] acc = 1.0 if int(np.argmax(results)) in gold else 0.0 completion_len = np.array([float(len(i)) for i in doc["choices"]]) acc_norm = 1.0 if int(np.argmax(results / completion_len)) in gold else 0.0 return { "acc": acc, "acc_norm": acc_norm, }