-- Regex Parser
-- Parses to an internal IL representation used for the construction of an NFA
--[[
MIT License
Copyright (c) 2019 emmachase
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
]]
local parser = {}
function parser.lexRegex(regexStr)
local termEaten
local function peek()
return regexStr:sub(1, 1)
end
local pos = 0
local function eatc()
local c = peek()
termEaten = termEaten .. c
regexStr = regexStr:sub(2)
pos = pos + 1
return c
end
local switchTable = {
["|"] = "union",
["*"] = function()
if peek() == "?" then
eatc()
return "ng-star"
end
return "star"
end,
["+"] = function()
if peek() == "?" then
eatc()
return "ng-plus"
end
return "plus"
end,
["?"] = "optional",
["("] = "l-paren",
[")"] = "r-paren",
["{"] = "l-bracket",
["}"] = "r-bracket",
["."] = "any",
["^"] = "start",
["$"] = "eos",
["\\"] = function()
local metas = {d = "[0-9]", w = "[a-zA-Z]", n = "\n"}
local c = eatc()
if metas[c] then
regexStr = metas[c] .. regexStr
pos = pos - #metas[c]
return false
end
termEaten = termEaten:sub(2)
return "char"
end,
["["] = function()
if peek() == "^" then
eatc()
return "open-negset"
end
return "open-set"
end,
["]"] = "close-set",
["-"] = "range"
}
local tokens = {}
while #regexStr > 0 do
termEaten = ""
local c = eatc()
local lexFn = switchTable[c]
local ret = "char"
if lexFn then
if type(lexFn) == "string" then
ret = lexFn
else
ret = lexFn()
end
end
if ret then
tokens[#tokens + 1] = {
type = ret,
source = termEaten,
position = pos
}
end
end
tokens[#tokens + 1] = {type = "eof", source = "", position = pos + 1}
return tokens
end
--[[
Grammar:
<RE> ::= <simple-RE> <union-list>
<union-list> ::= "|" <simple-RE> <union-list> | <lambda>
<simple-RE> ::= <basic-RE> <basic-RE-list>
<basic-RE-list> ::= <basic-RE> <basic-RE-list> | <lambda>
<basic-RE> ::= <star> | <plus> | <ng-star> | <ng-plus> | <quantifier> | <elementary-RE>
<star> ::= <elementary-RE> "*"
<plus> ::= <elementary-RE> "+"
<ng-star> ::= <elementary-RE> "*?"
<ng-plus> ::= <elementary-RE> "+?"
<quantifier> ::= <elementary-RE> "{" <quantity> "}"
<quantity> ::= <digit> "," <digit> | <digit> ","
<elementary-RE> ::= <group> | <any> | <eos> | <char> | <set>
<group> ::= "(" <RE> ")"
<any> ::= "."
<eos> ::= "$"
<char> ::= any non metacharacter | "\" metacharacter
<set> ::= <positive-set> | <negative-set>
<positive-set> ::= "[" <set-items> "]"
<negative-set> ::= "[^" <set-items> "]"
<set-items> ::= <set-item> | <set-item> <set-items>
<set-item> ::= <range> | <char>
<range> ::= <char> "-" <char>
Special Chars: | * + *? +? ( ) . $ \ [ [^ ] -
]]
function parser.parse(tokenList)
local RE, unionList, simpleRE, basicRE, basicREList, elementaryRE, quantifier, group, set, setItems, setItem
local parseTable = {
unionList = {["union"] = 1, default = 2},
basicREList = {["union"] = 2, ["r-paren"] = 2, ["eof"] = 2, default = 1},
elementaryRE = {["l-paren"] = 1, ["any"] = 2, ["char"] = 3, ["open-set"] = 4, ["open-negset"] = 4},
setItems = {["close-set"] = 1, default = 2}
}
local function eat()
return table.remove(tokenList, 1)
end
local function uneat(token)
table.insert(tokenList, 1, token)
end
local function expect(token, source)
local tok = eat()
if tok.type ~= token then
error("Unexpected token '" .. tok.type .. "' at position " .. tok.position, 0)
end
if source and not tok.source:match(source) then
error("Unexpected '" .. tok.source .. "' at position " .. tok.position, 0)
end
return tok
end
local function getMyType(name, index)
local parseFn = parseTable[name][tokenList[index or 1].type] or parseTable[name].default
if not parseFn then
error("Unexpected token '" .. tokenList[index or 1].type .. "' at position " .. tokenList[index or 1].position, 0)
end
return parseFn
end
local function unrollLoop(container)
local list, i = {}, 1
while container do
list[i], i = container[1], i + 1
container = container[2]
end
return unpack(list)
end
-- <RE> ::= <simple-RE> <union-list>
function RE()
return {type = "RE", simpleRE(), unrollLoop(unionList())}
end
-- <union-list> ::= "|" <simple-RE> <union-list> | <lambda>
function unionList()
local parseFn = getMyType("unionList")
if parseFn == 1 then
eat()
return {type = "unionList", simpleRE(), unionList()}
else
return
end
end
-- <simple-RE> ::= <basic-RE> <basic-RE-list>
function simpleRE()
return {type = "simpleRE", basicRE(), unrollLoop(basicREList())}
end
-- <basic-RE> ::= <star> | <plus> | <ng-star> | <ng-plus> | <quantifier> | <elementary-RE>
function basicRE()
local atom = elementaryRE()
local token = eat()
local type = token.type
if type == "star" then
return {type = "star", atom}
elseif type == "plus" then
return {type = "plus", atom}
elseif type == "ng-star" then
return {type = "ng-star", atom}
elseif type == "ng-plus" then
return {type = "ng-plus", atom}
elseif type == "optional" then
return {type = "optional", atom}
elseif type == "l-bracket" then
uneat(token)
return {type = "quantifier", atom, quantifier = quantifier()}
else
uneat(token)
return {type = "atom", atom}
end
end
-- <quantifier> ::= <elementary-RE> "{" <quantity> "}"
-- <quantity> ::= <digit> "," <digit> | <digit> ","
function quantifier()
expect("l-bracket")
local firstDigit = ""
do
local nextTok = expect("char", "%d")
local src = nextTok.source
repeat
firstDigit = firstDigit .. src
nextTok = eat()
src = nextTok.source
until src:match("%D")
uneat(nextTok)
end
if tokenList[1].type == "r-bracket" then
eat()
local count = tonumber(firstDigit)
return {type = "count", count = count}
end
expect("char", ",")
local secondDigit = ""
if tokenList[1].source:match("%d") then
local src, nextTok = ""
repeat
secondDigit = secondDigit .. src
nextTok = eat()
src = nextTok.source
until src:match("%D")
uneat(nextTok)
end
expect("r-bracket")
return {type = "range", min = tonumber(firstDigit), max = tonumber(secondDigit) or math.huge}
end
-- <basic-RE-list> ::= <basic-RE> <basic-RE-list> | <lambda>
function basicREList()
local parseFn = getMyType("basicREList")
if parseFn == 1 then
return {type = "basicREList", basicRE(), basicREList()}
else
return
end
end
-- <elementary-RE> ::= <group> | <any> | <char> | <set>
function elementaryRE()
local parseFn = getMyType("elementaryRE")
if parseFn == 1 then
return group()
elseif parseFn == 2 then
eat()
return {type = "any"}
elseif parseFn == 3 then
local token = eat()
return {type = "char", value = token.source}
elseif parseFn == 4 then
return set()
end
end
-- <group> ::= "(" <RE> ")"
function group()
eat()
local rexp = RE()
eat()
return {type = "group", rexp}
end
--<set> ::= <positive-set> | <negative-set>
function set()
local openToken = eat()
local ret
if openToken.type == "open-set" then
ret = {type = "set", unrollLoop(setItems())}
else -- open-negset
ret = {type = "negset", unrollLoop(setItems())}
end
eat()
return ret
end
-- <set-items> ::= <set-item> | <set-item> <set-items>
function setItems()
local firstItem = setItem()
local parseFn = getMyType("setItems")
if parseFn == 1 then
return {type = "setItems", firstItem}
else
return {type = "setItems", firstItem, setItems()}
end
end
-- <set-item> ::= <range> | <char>
function setItem()
if tokenList[2].type == "range" then
return {type = "range", start = eat().source, finish = (eat() and eat()).source}
else
return {type = "char", value = eat().source}
end
end
local props = {
clampStart = false,
clampEnd = false
}
if tokenList[1].type == "start" then
props.clampStart = true
table.remove(tokenList, 1)
end
if tokenList[#tokenList - 1].type == "eos" then
props.clampEnd = true
table.remove(tokenList, #tokenList - 1)
end
if #tokenList == 1 then
error("Empty regex", 0)
end
local ret = RE()
ret.properties = props
return ret
end
return parser