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#include <boost/algorithm/string.hpp>
#include "gmock/gmock.h"
#include "gtest/gtest.h"
#include <algorithm>
#include <deque>
#include <map>
#include <memory>
#include <string>
#include <utility>
#include <vector>
using namespace std::string_literals;
using BNF = std::map<std::string, std::vector<std::vector<std::string>>>;
using Terminals = std::set<std::string>;
using ProgramNode = std::deque<std::string>;
using PathElement = std::pair<std::string, size_t>; // Name, Index
std::vector<std::string> split(std::string s)
{
std::vector<std::string> result;
boost::algorithm::split(result, s, boost::algorithm::is_any_of(s), boost::algorithm::token_compress_on);
while (result.size() > 0 && result.back() == ""s)
result.pop_back();
return result;
}
auto Reverse(BNF bnf){
std::map<std::string, std::set<std::string>> result;
for (const auto& [from, to] : bnf) {
for (const auto& list : to) {
for (const auto& element : list) {
auto i{result.find(element)};
if (i != result.end()) // already present
i->second.insert(from);
else // new element
result.emplace(element, std::set{from});
}
}
}
return result;
}
using index_t = size_t;
struct TreeNode {
index_t parent{};
std::vector<index_t> childs; // fill char by char
std::vector<std::string> child_names; // fill always
std::string name;
};
class Tree {
private:
std::map<index_t, TreeNode> nodes; // index 0 = non existing; index starting at 1
index_t node_num{};
index_t root{};
index_t last{};
public:
bool Valid(const std::string& Top) const {
// A token is non empty
if (node_num == 0)
return false;
// Start symbol on top
auto rootNode{nodes.find(root)};
if (rootNode == nodes.end())
throw std::runtime_error("Node not found: "s + std::to_string(root));
if (rootNode->second.name != Top)
return false;
// All nodes filled (implies all leaves are terminal)
for (const auto& [index, node]: nodes) {
if (node.childs.size() < node.child_names.size())
return false; // node not filled
}
return true;
}
bool AddFirstNode(char c, const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
node_num ++;
root = node_num;
last = node_num;
std::string node_name(1, char(c));
auto reverseRule{reverseBNF.find(node_name)};
if (reverseRule == reverseBNF.end())
throw std::runtime_error("Reverse rule not found for "s + node_name);
auto rule{bnf.find(node_name)};
if (rule != bnf.end()) { // multiple variants!
throw std::runtime_error("BNF rule for terminal symbol "s + node_name + " found."s);
}
nodes.emplace(root, TreeNode{0, std::vector<index_t>{}, std::vector<std::string>{}, node_name});
return true;
}
std::vector<TreeNode> getParentTreeNode(const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
std::vector<TreeNode> result; // default: empty
auto& root_name {nodes[root].name};
auto bnfParents {reverseBNF.find(root_name)};
if (bnfParents == reverseBNF.end())
return result;
for (const auto& parent_node_name : bnfParents->second) {
auto lists {bnf.at(parent_node_name)};
for (const auto& list : lists) {
if (list.size() > 0 && list[0] == root_name) {
TreeNode node{0, std::vector<index_t>{root}, list, parent_node_name};
result.push_back(node);
}
}
}
return result;
}
index_t GetLast() {
index_t result {root};
while(result != 0 && nodes[result].childs.size() >= 2) {
result = nodes[result].childs[nodes[result].childs.size() - 1];
}
return result;
}
void AddRootNode(const TreeNode& newRootNode) {
node_num++;
nodes[node_num] = newRootNode;
root = node_num;
last = node_num;
}
void RemoveRootNode() {
root = nodes[root].childs[0];
nodes.erase(node_num);
node_num--;
last = GetLast();
}
// Path from leaf to root
std::vector<std::string> GetPath(std::string a, std::string b, const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
std::vector<std::string> result;
while (a != b) {
auto parents {reverseBNF.find(a)};
if (parents == reverseBNF.end())
return {};
bool hit{false};
for (const auto& parent : parents->second) {
for (const auto& list : bnf.at(parent)) {
if (list.size() > 0 && list[0] == a) {
if (!hit) {
result.push_back(a);
a = parent;
hit = true;
} else
throw std::runtime_error("Double match for "s + parent + "/"s + a);
}
}
}
}
if (a == b) {
result.push_back(a);
}
return result;
}
index_t AddNode(const std::string& name, const std::string& child_name, index_t parent_index, const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF)
{
TreeNode& parent {nodes[parent_index]};
node_num++;
index_t index = node_num;
parent.childs.push_back(index);
std::vector<std::string> child_names;
auto rule {bnf.find(name)};
if (rule != bnf.end()) {
for (auto& list : rule->second) {
if (list.size() > 0 && list[0] == child_name)
child_names = list;
}
}
nodes.emplace(index, TreeNode{parent_index, {}, child_names, name});
//root stays
last = GetLast();
return index;
}
void AddPath(const std::vector<std::string>& path, index_t current_index, const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
for (int i = path.size() - 1; i >= 0; i--) {
std::string child_name;
if (i > 0)
child_name = path[i - 1];
current_index = AddNode(path[i], child_name, current_index, bnf, reverseBNF);
}
}
// try to add character to tree
bool Add(char c, const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
if (nodes.empty()) { // first node
return AddFirstNode(c, bnf, reverseBNF);
} else { // at least one character is already present
// Traverse tree until partially filled node found
// or new node can be added
index_t current_index{last};
while (current_index != 0) {
TreeNode& node {nodes[current_index]};
if (node.childs.size() < node.child_names.size()) { // partially filled node
std::vector<std::string> list = GetPath(std::string(1, c), node.child_names[node.childs.size()], bnf, reverseBNF);
if (list.size() > 0) {
AddPath(list, current_index, bnf, reverseBNF);
return true;
} else {
return false; // The path a->b is not available via bnf
}
}
current_index = node.parent;
}
// Add node at root
std::vector<TreeNode> parent_nodes = getParentTreeNode(bnf, reverseBNF);
if (parent_nodes.size() == 0)
throw std::runtime_error("Couldn't add new parent node.");
for (const auto &i : parent_nodes) {
AddRootNode(i);
if (Add(c, bnf, reverseBNF))
return true;
RemoveRootNode();
}
}
return false;
}
// add path to start symbol
void Resolve(const BNF& bnf, const std::map<std::string, std::set<std::string>>& reverseBNF) {
if (nodes.empty()) // only handle non-empty trees
return;
while (true) {
std::string& old_root_name { nodes[root].name }; // current root node name
auto parents {reverseBNF.find(old_root_name)};
if (parents != reverseBNF.end()) { // parents in bnf available
bool hit{false};
for (auto& parent : parents->second) {
for (const auto& list : bnf.at(parent)) {
if (list.size() == 1 && list[0] == old_root_name) {
if (!hit) {
const std::string& new_root_name {parent};
// Add new TreeNode in the direction to root:
// New root with 1 child (old root)
nodes.emplace(++node_num,
TreeNode{0, // parent
std::vector<index_t>{root}, // child indices
std::vector<std::string>{old_root_name}, // child names
new_root_name // name
});
nodes[root].parent = node_num;
root = node_num;
// this->last stays
hit = true;
} else
throw std::runtime_error("Error: Multiple resolve nodes for "s + old_root_name);
}
}
}
if (!hit)
break;
} else
break;
}
}
};
class Lexer
{
private:
const BNF &bnf;
const std::string& Top;
std::map<std::string, std::set<std::string>> ReverseBNF;
// to be called on token end
void FinalizeCandidates(std::deque<Tree>& candidates, std::string& token, std::vector<std::string>& result)
{
if (candidates.empty()) { // skip
if (!token.empty())
throw std::runtime_error("Expected empty token, got "s + token);
} else { // check candidates
bool valid{false};
for (auto& ct : candidates) {
ct.Resolve(bnf, ReverseBNF);
if (ct.Valid(Top)) {
if (valid)
throw std::runtime_error("Found ambiguous token "s + token);
result.push_back(token);
token.clear();
valid = true;
}
}
if (!valid)
throw std::runtime_error("Invalid token: "s + token);
candidates.clear();
}
}
void AddCandidate(char c, std::deque<Tree>& candidates) {
// new candidate: starting with c
auto element {ReverseBNF.find(std::string(1, c))};
if (element != ReverseBNF.end()) {
Tree newTree;
if (newTree.Add(c, bnf, ReverseBNF))
candidates.push_back(newTree);
}
}
public:
Lexer(const BNF& bnf, const std::string& Top): bnf(bnf), Top(Top), ReverseBNF{Reverse(bnf)}
{
}
std::vector<std::string> Lex(const std::string& s)
{
std::vector<std::string> result;
std::string token;
std::string Whitespace{"\t \n\r"};
std::deque<Tree> candidates;
for (size_t pos{0}; pos < s.size(); pos++) {
char c{s[pos]};
std::cout << "Char: |" << c << "|" << std::endl;
if (Whitespace.find(c) != std::string::npos) { // found whitespace character
// evaluate token up to now and skip whitespace
FinalizeCandidates(candidates, token, result);
} else { // no whitespace: try to add to tree
std::deque<index_t> EraseList;
int i = 0;
for (auto ct = candidates.begin(); ct != candidates.end(); ct++, i++) {
if (!ct->Add(c, bnf, ReverseBNF)) { // either add char or delete candidate
// push to front to get reversed order
EraseList.push_front(i); // no candidate anymore
}
}
if (token.empty()) {
AddCandidate(c, candidates);
} else if (candidates.size() - EraseList.size() > 0) { // added to some candidates: Erase invalidated ones
for (const auto& i : EraseList)
candidates.erase(candidates.begin() + i);
} else { // no candidates left: new tree
FinalizeCandidates(candidates, token, result);
AddCandidate(c, candidates);
}
token.push_back(c);
}
}
// Final evaluation of last token
FinalizeCandidates(candidates, token, result);
return result;
}
};
ProgramNode Compile(std::vector<std::string> Tokens, std::string Top, BNF bnf, Terminals terminals)
{
BNF ReverseBNF;//{ Reverse(bnf)};
if (Tokens.size()){
std::string Token = Tokens[0];
#if 0
auto Path = GetPath(Token, ReverseBNF, Top, terminals);
if (Path.size()) {
size_t Index{1};
while (Index < Tokens.size()) {
Path = GetPath(Token, ReverseBNF, Top, terminals, Path);
Index++;
}
} else
throw std::runtime_error("Invalid token: "s + Token);
#endif
} else
throw std::runtime_error("No tokens!");
return {};
}
class Test: public ::testing::Test {
protected:
Test(){}
~Test() override {}
};
TEST_F(Test, BNF) {
std::string LexTop{"preprocessing-token"};
BNF LexBNF{
{"preprocessing-token", {{"identifier"},
{"preprocessing-op-or-punc"},
{"pp-number"}}},
{"identifier", {{"identifier-nondigit"},
{"identifier", "identifier-nondigit"},
{"identifier", "digit"}}},
{"digit", {{"0"}, {"1"}, {"2"}, {"3"}, {"4"}, {"5"}, {"6"}, {"7"}, {"8"}, {"9"} }},
{"identifier-nondigit",
{{"a"}, {"b"}, {"c"}, {"d"}, {"e"}, {"f"}, {"g"}, {"h"}, {"i"}, {"j"}, {"k"}, {"l"}, {"m"},
{"n"}, {"o"}, {"p"}, {"q"}, {"r"}, {"s"}, {"t"}, {"u"}, {"v"}, {"w"}, {"x"}, {"y"}, {"z"},
{"A"}, {"B"}, {"C"}, {"D"}, {"E"}, {"F"}, {"G"}, {"H"}, {"I"}, {"J"}, {"K"}, {"L"}, {"M"},
{"N"}, {"O"}, {"P"}, {"Q"}, {"R"}, {"S"}, {"T"}, {"U"}, {"V"}, {"W"}, {"X"}, {"Y"}, {"Z"}, {"_"}}},
{"preprocessing-op-or-punc", {{";"},
{"="}}},
{"pp-number", {{"digit"},
{"pp-number", "digit"}}}
};
std::string Top{"program"};
BNF bnf{
{"program", {{"statement-list"}}},
{"statement-list", {{"statement", "statement-list"},
{}, }},
{"statement", {{"assigmnent", ";"}}},
{"assignment", {{"identifier", "=", "identifier"}}}
};
std::set<std::string> Terminals{"identifier", "=", ";"};
std::string Code{"a = bc ; c = 123 ; esd = Ff ; 1 = XYZ"};
Lexer lexer(LexBNF, LexTop);
auto tokens = lexer.Lex(Code);
#if 1
for (const auto& i: tokens) {
std::cout << i << std::endl;
}
#endif
//auto Program = Compile(tokens, Top, bnf, Terminals);
}
int main(int argc, char* argv[]) {
::testing::InitGoogleMock(&argc, argv);
return RUN_ALL_TESTS();
}
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