415 lines
20 KiB
Plaintext
415 lines
20 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 7,
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"metadata": {},
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"outputs": [],
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"source": [
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"import os,re\n",
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"import win32clipboard as wc\n",
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"import win32con\n",
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"\n",
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"# 获取剪切板内容\n",
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"def getCopy():\n",
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" wc.OpenClipboard()\n",
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" t = wc.GetClipboardData(win32con.CF_UNICODETEXT)\n",
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" wc.CloseClipboard()\n",
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" return t\n",
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"\n",
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"# 写入剪切板内容\n",
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"def setCopy(str):\n",
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" wc.OpenClipboard()\n",
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" wc.EmptyClipboard()\n",
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" wc.SetClipboardData(win32con.CF_UNICODETEXT, str)\n",
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" wc.CloseClipboard()\n",
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"\n",
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"def full_stop(matchobj):\n",
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" if matchobj.group(1) == \"。\" or matchobj.group(1) == \".\":\n",
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" return \". \"\n",
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" else:\n",
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" return \".\\n\"\n",
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"def refine_brackets(matchobj):\n",
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" return matchobj.group(1)[1:-1]\n",
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"def insert_a_blank(matchobj):\n",
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" return matchobj.group(1)[:-1]+\" \"+matchobj.group(1)[-1]\n",
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"def multiple_choice(matchobj):\n",
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" string = \"\\\\fourch\" + \"{\" + matchobj.group(1) + \"}{\" + matchobj.group(2) + \"}{\" + matchobj.group(3) + \"}{\" + matchobj.group(4) + \"}\\n\"\n",
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" return string\n",
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"def boldsymbols(matchobj):\n",
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" return \"\\\\i\"+matchobj.group(1)[:-1]+\"\\\\mathbf{\"+matchobj.group(1)[-1]+\"}\"\n",
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"def boldsymbols_star(matchobj):\n",
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" return \"\\\\in \\\\mathbf{\"+matchobj.group(1)+\"}^*\"\n",
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"def singleboldsymbols(matchobj):\n",
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" return \"$\\\\mathbf{\" + matchobj.group(1) + \"}$\"\n",
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"def blackboardbold(matchobj):\n",
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" string = \"\\\\mathbf\" + \"{\" + matchobj.group(1) + \"}\"\n",
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" return string\n",
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"def limit(matchobj):\n",
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" return \"\\\\displaystyle\\\\lim_{\"+matchobj.group(1)+\"}\"\n",
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"def replace_i(matchobj):\n",
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" string = matchobj.group(1)\n",
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" length = len(string)\n",
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" for i in range(length-1,-1,-1):\n",
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" if string[i] == \"i\" and not \"item\" in string[i:] and not \"overline\" in string[i:]:\n",
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" string = string[:i] + \"\\\\mathrm{i}\" + string[i+1:]\n",
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" return string\n",
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"def refine_log(matchobj):\n",
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" return r\"\\log_\"+matchobj.group(1)\n",
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"def refine_powers(matchobj):\n",
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" base = matchobj.group(1)\n",
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" power = matchobj.group(2)\n",
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" return base + \"^\" + power\n",
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"def refine_sequences(matchobj):\n",
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" return \"\\{\" + matchobj.group(1) + \"\\}\"\n",
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"def refine_starting_brackets(matchobj):\n",
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" return \"$\" + matchobj.group(1)\n",
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"def refine_left_operating_brackets(matchobj):\n",
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" obj = matchobj.group(2)\n",
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" return matchobj.group(1)+obj\n",
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"def refine_right_operating_brackets(matchobj):\n",
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" obj = matchobj.group(1)\n",
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" return obj + matchobj.group(2)\n",
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"def refine_brackets_in_brackets(matchobj):\n",
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" return matchobj.group(1) + matchobj.group(2) + matchobj.group(3)\n",
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"def mathbf(matchobj):\n",
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" return \"\\\\mathbf{\" + matchobj.group(1) + \"}^\" + matchobj.group(2)\n",
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"#以上是202207之前的文本处理机制\n",
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"global layer\n",
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"def rename_bracket(matchobj):\n",
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" return \"leftbracket\" + str(layer) + matchobj.group(1) + \"rightbracket\" + str(layer)\n",
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"def frac_brackets(matchobj):\n",
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" return \"frac{\"+matchobj.group(1)+\"}{\"+matchobj.group(2)+\"}\"\n",
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"def frac_single_second_bracket(matchobj):\n",
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" return \"frac \"+matchobj.group(1)+\"{\"+matchobj.group(2)+\"}\"\n",
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"def recall_vital_bracket(matchobj):\n",
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" return matchobj.group(1) + \"{\" + matchobj.group(2) + \"}\"\n",
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"def sqrt_brackets(matchobj):\n",
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" if matchobj.group(1) == None:\n",
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" first_group = \"\"\n",
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" else:\n",
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" first_group = matchobj.group(1)\n",
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" return \"sqrt \"+ first_group +\"{\" + matchobj.group(2) + \"}\"\n",
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"#def refine_frac(string):\n",
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"# for s in range(7):\n",
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"# for t in range(7):\n",
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"# string = re.sub(r\"frac[\\s]*leftbracket\"+str(s)+\"(.*?)\"+r\"rightbracket\"+str(s)+\"[\\s]*\"+r\"leftbracket\"+str(t)+\"(.*?)\"+r\"rightbracket\"+str(t),frac_brackets,string)\n",
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"# return string\n",
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"def refine_single_second_frac(string):\n",
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" for s in range(7):\n",
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" string = re.sub(r\"frac[\\s]*(\\w)[\\s]*leftbracket\"+str(s)+\"(.*?)\"+r\"rightbracket\"+str(s),frac_single_second_bracket,string)\n",
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" return string\n",
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"def refine_vital_bracket(string):\n",
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" for s in range(7):\n",
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" string = re.sub(r\"(frac)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(line)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(arrow)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(_)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(\\^)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(mathrm)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(mathbf)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(begin)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" string = re.sub(r\"(end)[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),recall_vital_bracket,string)\n",
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" return string\n",
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"def refine_sqrt(string):\n",
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" for s in range(7):\n",
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" string = re.sub(r\"sqrt[\\s]*(\\[\\w*\\])*[\\s]*leftbracket\"+str(s)+\"(.*?)rightbracket\"+str(s),sqrt_brackets,string)\n",
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" return string\n",
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"def give_blanks(string):\n",
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" string = re.sub(r\"(sqrt[\\w])\",insert_a_blank,string)\n",
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" string = re.sub(r\"(frac[\\w])\",insert_a_blank,string)\n",
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" return string\n",
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"def give_brackets(string):\n",
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" string = re.sub(r\"leftbracket\\d\",\"\",string)\n",
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" string = re.sub(r\"rightbracket\\d\",\"\",string)\n",
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" string = re.sub(r\"leftset\",r\"\\{\",string)\n",
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" string = re.sub(r\"rightset\",r\"\\}\",string)\n",
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" return string\n",
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"#以上是20220715新加的文本处理机制\n",
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"def initial_bracket_search(string):\n",
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" t = re.search(r\"^[\\s]*?leftbracket(\\d)\",string)\n",
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" if t == None:\n",
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" return -1\n",
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" else:\n",
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" return t.span()[1]\n",
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"def initial_brackets_pair_search(string,d):\n",
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" t = re.search(\"rightbracket\"+d,string)\n",
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" if t == None:\n",
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" return -1\n",
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" else:\n",
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" return t.span()[1]\n",
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"def refine_frac(string):\n",
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" eq_left = \"\"\n",
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" eq_right = string\n",
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" while re.search(\"frac\",eq_right) != None:\n",
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" pos = re.search(\"frac\",eq_right)\n",
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" eq_left += eq_right[:pos.span()[1]]\n",
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" eq_right = eq_right[pos.span()[1]:]\n",
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" if initial_bracket_search(eq_right)>0:\n",
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" pos = initial_brackets_pair_search(eq_right,eq_right[initial_bracket_search(eq_right)-1])\n",
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" first_bracket = eq_right[:pos]\n",
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" first_layer = first_bracket[-1]\n",
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" eq_remain = eq_right[pos:]\n",
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" if initial_bracket_search(eq_remain)>0:\n",
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" pos = initial_brackets_pair_search(eq_remain,eq_remain[initial_bracket_search(eq_remain)-1])\n",
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" second_bracket = eq_remain[:pos]\n",
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" second_layer = second_bracket[-1]\n",
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" first_bracket = re.sub(r\"leftbracket\"+first_layer,\"{\",first_bracket)\n",
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" second_bracket = re.sub(r\"leftbracket\"+second_layer,\"{\",second_bracket)\n",
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" first_bracket = re.sub(r\"rightbracket\"+first_layer,\"}\",first_bracket)\n",
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" second_bracket = re.sub(r\"rightbracket\"+second_layer,\"}\",second_bracket)\n",
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" eq_right = first_bracket+second_bracket+eq_remain[pos:]\n",
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" return eq_left+eq_right\n",
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"#以上是20220718修改的大括号处理机制, 修复了一个bug\n",
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"def reduce_blank(matchobj):\n",
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" return matchobj.group(1).replace(\" \",\"\")\n",
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"def add_dollars(matchobj):\n",
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" return matchobj.group(1)[0] + r\"$\" + matchobj.group(1)[1:-1] + r\"$\" + matchobj.group(1)[-1]\n",
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"def del_first_char(matchobj):\n",
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" return matchobj.group(1)[1:]\n",
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"def add_underline(matchobj):\n",
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" return matchobj.group(1)[0] + \"_\" + matchobj.group(1)[-1]\n",
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"def brackets_to_cwords(matchobj):\n",
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" return \"左括号\"+matchobj.group(1)+\"右括号\"\n",
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"def cwords_to_brackets(matchobj):\n",
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" return \"(\"+matchobj.group(1)+\")\"\n",
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"def circled_brackets(matchobj):\n",
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" return matchobj.group(1)[:-1]+\"{\"+matchobj.group(1)[-1] + \"}\"\n",
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"\n",
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"# try:\n",
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"# os.chdir(r\"D:\\mathdept\\mathdept\\文本处理程序等\")\n",
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"# except:\n",
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"# os.chdir(r\"D:\\mathdept\\文本处理程序等\")\n",
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"# with open(\"textfile.txt\", \"r\", encoding = \"utf8\") as textfile:\n",
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"# data = textfile.read()\n",
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"\n",
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"data = getCopy()\n",
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"\n",
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"\n",
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"#去除左右括号的前缀\n",
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"data = data.replace(r\"\\rightarrow\",r\"\\to\")\n",
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"data = data.replace(r\"\\left.\",\"\").replace(r\"\\left\",\"\").replace(r\"\\right.\",\"\").replace(r\"\\right\",\"\")\n",
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"\n",
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"#全角半角符号替换\n",
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"data = re.sub(\" \",\" \",data)\n",
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"data = re.sub(\"(。[\\n]*)\",full_stop,data)\n",
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"data = re.sub(\"(.[\\n]*)\",full_stop,data)\n",
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"data = re.sub(\",\",\", \",data)\n",
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"data = re.sub(\":\",\": \",data)\n",
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"data = re.sub(\";\",\"; \",data)\n",
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"data = re.sub(\"(\",\"(\",data)\n",
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"data = re.sub(\")\",\")\",data)\n",
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"data = re.sub(\"?\",\"? \",data)\n",
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"data = re.sub(\"“\",\"``\",data)\n",
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"data = re.sub(\"”\",\"''\",data)\n",
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"data = re.sub(\" ``\",\"``\",data)\n",
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"data = re.sub(\"'' \",\"''\",data)\n",
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"\n",
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"#替换题号\n",
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"data = re.sub(\"(^[例]*[0-9]+[\\s]*\\.[\\s]+)\",\"\\\\n\\\\\\\\item \",data)\n",
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"data = re.sub(\"(^[例]*[0-9]+[\\s]*、[\\s]*)\",\"\\\\n\\\\\\\\item \",data)\n",
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"data = re.sub(\"(\\\\n[例]*[0-9]+[\\s]*\\.[\\s]+)\",\"\\\\n\\\\\\\\item \",data)\n",
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"data = re.sub(\"(\\\\n[例]*[0-9]+[\\s]*、[\\s]*)\",\"\\\\n\\\\\\\\item \",data)\n",
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"\n",
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"#公式标志换成$符号\n",
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"data = re.sub(\"\\\\\\\\\\[\",r\"$\",data)\n",
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"data = re.sub(\"\\\\\\\\\\]\",r\"$\",data)\n",
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"data = re.sub(\"\\$\\$\",\"\",data)\n",
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"\n",
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"#标点和$符号分开\n",
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"data = re.sub(r\"([,.:;])\\$\",lambda x:x.group(1)+\" $\",data)\n",
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"\n",
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"#选择题替换成标准格式\n",
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"data = re.sub(\"A\\.([\\s\\S]*?)B\\.([\\s\\S]*?)C\\.([\\s\\S]*?)D\\.([\\s\\S]*?)\\\\n\",multiple_choice,data)\n",
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"data = re.sub(\"\\(A\\)([\\s\\S]*?)\\(B\\)([\\s\\S]*?)\\(C\\)([\\s\\S]*?)\\(D\\)([\\s\\S]*?)\\\\n\",multiple_choice,data)\n",
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"data = re.sub(\"A\\.([\\s\\S]*?)B\\.([\\s\\S]*?)C\\.([\\s\\S]*?)D\\.([\\s\\S]*?)\\\\n\",multiple_choice,data)\n",
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"data = re.sub(\"\\(A\\)([\\s\\S]*?)\\(B\\)([\\s\\S]*?)\\(C\\)([\\s\\S]*?)\\(D\\)([\\s\\S]*?)\\\\n\",multiple_choice,data)\n",
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"data = re.sub(\"\\$[ ]+\\}\",\"$}\",data)\n",
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"data = re.sub(\"\\{[ ]+\\$\",\"{$\",data)\n",
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"\n",
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"#替换frac为dfrac\n",
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"data = data.replace(\"\\\\frac\",\"\\\\dfrac\")\n",
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"\n",
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"#替换多余的空行\n",
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"for i in range(20):\n",
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" data = re.sub(\"\\n[\\t ]*\\n\",\"\\n\",data)\n",
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"\n",
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"#删除\\quad\n",
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"data = re.sub(r\"\\\\q+uad\",\"\",data)\n",
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"\n",
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"#删除~\n",
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"data = re.sub(r\"~\",\"\",data)\n",
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"\n",
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"\n",
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"\n",
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"data1 = data #替换后暂存data1\n",
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"\n",
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"#分离文字和公式\n",
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"raw_texts = [] #文字数组\n",
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"raw_equations = [] #公式数组\n",
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"d = data\n",
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"while len(d) > 0:\n",
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" interval = re.search(r\"\\$[\\s\\S]*?\\$\",d)\n",
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" if not interval == None:\n",
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" (start, end) = interval.span()\n",
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" raw_texts.append(d[:start])\n",
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" raw_equations.append(d[start:end])\n",
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" d = d[end:]\n",
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" else:\n",
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" raw_texts.append(d)\n",
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" d = \"\"\n",
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"#至此已经分离了文字和公式,公式在两个$之内,包含两个$\n",
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"\n",
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"modified_texts = []\n",
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"modified_equations = []\n",
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"\n",
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"for text in raw_texts:\n",
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" text1 = text\n",
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" #删除选项中无用的空格\n",
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" text1 = re.sub(\"\\{[\\s]+?\",\"{\",text1)\n",
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" text1 = re.sub(\"[\\s]+?\\}\",\"}\",text1)\n",
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" #填空题的处理\n",
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" # text1 = re.sub(\"[ _]{2,}\",r\"\\\\blank{50}\",text1)\n",
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" #选择题的处理\n",
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" text1 = re.sub(r\"\\(\\\\blank\\{50\\}\\)\",\"\\\\\\\\bracket{20}\",text1)\n",
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" text1 = re.sub(r\"\\([\\s]{1,10}\\)\",\"\\\\\\\\bracket{20}\",text1)\n",
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" #逗号后面加空格\n",
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" text1 = re.sub(\",[ ]*\",\", \",text1)\n",
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" text1 = re.sub(r\"\\.\\}\",\"}\",text1)\n",
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" text1 = re.sub(r\"\\n\\d{1,3}\\.\",r\"\\n\\\\item \",text1)\n",
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" # text1 = re.sub(r\"\\s{2,}\\.\",r\"\\\\blank{50}.\",text1)\n",
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" # text1 = re.sub(r\"\\s{2,}\\,\",r\"\\\\blank{50},\",text1)\n",
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" text1 = re.sub(r\"\\s*\\\\bracket\\{20\\}\\s*\\n\",r\"\\\\bracket{20}.\\n\",text1)\n",
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" #改非规范选择题\n",
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" text1 = re.sub(r\"[\\.;]\\}\",\"}\",text1)\n",
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" text1 = re.sub(r\"([\\u4e00-\\u9fa5])[\\s]+([\\d]{1,6})[\\s]+([\\u4e00-\\u9fa5])\",lambda x:x.group(1)+\"$\"+x.group(2)+\"$\"+x.group(3),text1)\n",
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" modified_texts.append(text1)\n",
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" \n",
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"\n",
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"for equation in raw_equations:\n",
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" equation1 = equation\n",
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" #删除一些无效大括号\n",
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" for i in range(3):\n",
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" equation1 = re.sub(r\"_\\{([0-9a-zA-Z])\\}\",lambda x:\"_\"+x.group(1),equation1)\n",
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" equation1 = re.sub(r\"\\^\\{([0-9a-zA-Z])\\}\",lambda x:\"^\"+x.group(1),equation1)\n",
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" #合并一些公式中的无效空格\n",
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" for i in range(2):\n",
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" equation1 = re.sub(r\"([0-9A-Z])\\s+([0-9A-Z])\",lambda x:x.group(1)+x.group(2),equation1)\n",
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" #改变组合数和排列数\n",
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" equation1 = re.sub(r\"([CP])(_[^_\\^]{,5}\\^)\",lambda x:r\"\\mathrm{\"+x.group(1)+\"}\"+x.group(2),equation1)\n",
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" #改单位\n",
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" equation1 = re.sub(r\"mathrm\\{cm\\}\",\"text{cm}\",equation1)\n",
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" equation1 = re.sub(r\"mathrm\\{km\\}\",\"text{km}\",equation1)\n",
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" modified_equations.append(equation1)\n",
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"\n",
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"\n",
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"#整合修改过的文本和公式 \n",
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"modified_data = \"\"\n",
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"for i in range(len(modified_texts)):\n",
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" try:\n",
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" modified_data += modified_texts[i]\n",
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" except:\n",
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||
" a = 1\n",
|
||
" try:\n",
|
||
" modified_data += modified_equations[i]\n",
|
||
" except:\n",
|
||
" a = 1\n",
|
||
"modified_data = re.sub(r\"[ ]+\\n\",\"\\n\",modified_data)\n",
|
||
"modified_data = re.sub(r\"\\$[\\s]*?\\\\parallel[\\s]*?\\$\",r\"\\\\parallel\",modified_data)\n",
|
||
"modified_data = re.sub(r\"\\n例\\s*?\\d{1,3}\\s*\",r\"\\n\\\\item \",modified_data)\n",
|
||
"modified_data = re.sub(r\"(\\$[\\,\\.:;]\\$)\",refine_brackets,modified_data)\n",
|
||
"\n",
|
||
"\n",
|
||
"#以下是mathpix之后的空格去除\n",
|
||
"for i in range(3):\n",
|
||
" modified_data = re.sub(r\"([\\u4e00-\\u9fa5])( )([\\u4e00-\\u9fa5])\",lambda x:x.group(1)+x.group(3),modified_data)\n",
|
||
" modified_data = re.sub(r\"\\$ \",\"$\",modified_data)\n",
|
||
" modified_data = re.sub(r\" \\$\",\"$\",modified_data)\n",
|
||
"#mathpix的错别字修改\n",
|
||
"modified_data = modified_data.replace(\"雉\",\"锥\")\n",
|
||
"modified_data = re.sub(\"[粗秿]圆\",\"椭圆\",modified_data)\n",
|
||
"modified_data = modified_data.replace(\"针角\",\"钝角\")\n",
|
||
"modified_data = re.sub(\"投郑\",\"投掷\",modified_data)\n",
|
||
"modified_data = re.sub(\"抛郑\",\"抛掷\",modified_data)\n",
|
||
"modified_data = re.sub(\"范目\",\"范围\",modified_data)\n",
|
||
"modified_data = re.sub(\"揷\",\"插\",modified_data)\n",
|
||
"#mathpix的自由向量修改\n",
|
||
"modified_data = modified_data.replace(r\"\\vec\",r\"\\overrightarrow \")\n",
|
||
"modified_data = modified_data.replace(r\"\\bar\",r\"\\overline \")\n",
|
||
"#mathpix的极限修改\n",
|
||
"modified_data = re.sub(r\"\\\\lim[\\s]*_\\{n \\\\to \\\\infty\\}\",r\"\\\\displaystyle\\\\lim_{n\\\\to\\\\infty}\",modified_data)\n",
|
||
"#mathpix的顿号修改\n",
|
||
"modified_data = modified_data.replace(r\" 、 \",r\"$、$\")\n",
|
||
"#改slant等\n",
|
||
"modified_data = modified_data.replace(r\"slant\",\"\")\n",
|
||
"modified_data = modified_data.replace(r\"\\mid\",\"|\")\n",
|
||
"modified_data = re.sub(r\"\\\\mathrm\\{\\\\mathrm\\{i\\}\\}\",r\"\\\\mathrm{i}\",modified_data)\n",
|
||
"modified_data = modified_data.replace(\",$\",\", $\")\n",
|
||
"modified_data = modified_data.replace(\" / /\",r\"\\parallel\")\n",
|
||
"modified_data = modified_data.replace(\"mathrmR\",r\"mathbf{R}\")\n",
|
||
"modified_data = modified_data.replace(r\"^{\\prime}\",\"'\")\n",
|
||
"modified_data = re.sub(r\"\\^\\{\\\\dfrac\",r\"^{\\\\frac\",modified_data)\n",
|
||
"modified_data = re.sub(r\"\\^\\{-\\\\dfrac\",r\"^{-\\\\frac\",modified_data)\n",
|
||
"modified_data = re.sub(r\"_\\{\\\\dfrac\",r\"_{\\\\frac\",modified_data)\n",
|
||
"modified_data = re.sub(r\"_\\{-\\\\dfrac\",r\"_{-\\\\frac\",modified_data)\n",
|
||
"\n",
|
||
"#改分段函数等\n",
|
||
"modified_data = re.sub(r\"\\\\{\\\\begin\\{array\\}\\{[rcl]*\\}\",r\"\\\\begin{cases}\",modified_data)\n",
|
||
"modified_data = re.sub(r\"\\\\end{array}\",r\"\\\\end{cases}\",modified_data)\n",
|
||
"\n",
|
||
"#冒号后加空格\n",
|
||
"modified_data = re.sub(r\":([\\S])\", lambda x:\": \"+x.group(1),modified_data)\n",
|
||
"\n",
|
||
"#识别填空题加空格\n",
|
||
"modified_data = re.sub(r\"([\\u4e00-\\u9fa5\\$])[\\s]*\\n\\\\item\",lambda x: x.group(1)+\"\\\\blank{50}.\\n\\\\item\",modified_data)\n",
|
||
"\n",
|
||
"#识别选择题加括号\n",
|
||
"modified_data = re.sub(r\"\\$\\(\\s*\\)\\$\",r\"\\\\bracket{20}\",modified_data)\n",
|
||
"modified_data = re.sub(r\"([\\u4e00-\\u9fa5\\$])[\\s]*\\n\\\\fourch\",lambda x: x.group(1)+\"\\\\bracket{20}.\\n\\\\fourch\",modified_data)\n",
|
||
"\n",
|
||
"#改圆弧\n",
|
||
"modified_data = re.sub(r\"overparen\",r\"overset\\\\frown\",modified_data)\n",
|
||
"\n",
|
||
"setCopy(modified_data)\n",
|
||
"\n",
|
||
"with open(\"临时文件/outputfile.txt\",\"w\",encoding = \"utf8\") as f:\n",
|
||
" f.write(modified_data)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "mathdept",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.9.15"
|
||
},
|
||
"orig_nbformat": 4,
|
||
"vscode": {
|
||
"interpreter": {
|
||
"hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
|
||
}
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 2
|
||
}
|