namespace Canon.Core.GrammarParser;
public class GrammarBuilder
{
///
/// 指定文法的生成式
///
public Dictionary>> Generators { get; init; } = [];
///
/// 文法的起始符
///
public required NonTerminator Begin { get; init; }
///
/// 文法中所有非终结符的First集合
///
public Dictionary> FirstSet { get; } = [];
public HashSet Automation { get; } = [];
///
/// 构建文法中所有非终结符的First集合
///
private void BuildFirstSet()
{
bool changed = true;
while (changed)
{
changed = false;
foreach (KeyValuePair>> pair in Generators)
{
foreach (List expression in pair.Value)
{
// 对于空产生式直接跳过处理是正确的吗?
TerminatorBase? expressionHead = expression.FirstOrDefault();
if (expressionHead is null)
{
continue;
}
if (expressionHead.IsTerminated)
{
// 产生式的第一个字符是终结符
// 将这个终结符加入该非终结符的First集合
Terminator terminator = (Terminator)expressionHead;
if (FirstSet.TryAdd(pair.Key, [terminator]))
{
changed = true;
}
else
{
if (FirstSet[pair.Key].Add(terminator))
{
changed = true;
}
}
}
else
{
NonTerminator nonTerminator = (NonTerminator)expressionHead;
// 产生式的第一个字符是非终结符
// 将该非终结符的结果合并到该
if (FirstSet.TryGetValue(nonTerminator, out HashSet? value))
{
foreach (Terminator first in value)
{
if (FirstSet.TryAdd(pair.Key, [first]))
{
changed = true;
}
else
{
if (FirstSet[pair.Key].Add(first))
{
changed = true;
}
}
}
}
}
}
}
}
}
///
/// 计算指定语句的First集合
/// 需要用到非终结符的First集合
///
/// 需要计算的语句
/// 指定语句的First集合
private HashSet CalculateFirstSetOfExpression(List expression)
{
HashSet result = [];
TerminatorBase? expressionHead = expression.FirstOrDefault();
if (expressionHead is null)
{
return result;
}
if (expressionHead.IsTerminated)
{
// 指定表达式开头是终结符
Terminator terminator = (Terminator)expressionHead;
result.Add(terminator);
}
else
{
// 指定表达式开头是非终结符
// 将该非终结符的FirstSet加入进来
NonTerminator nonTerminator = (NonTerminator)expressionHead;
if (FirstSet.TryGetValue(nonTerminator, out HashSet? firstSet))
{
result.UnionWith(firstSet);
}
}
return result;
}
///
/// 计算指定表达式的项目集规范族闭包
///
/// 指定的表达式
/// 指定表达式的项目集规范族闭包
private HashSet CalculateClosure(Expression expression)
{
HashSet closure = [expression];
bool changed = true;
while (changed)
{
changed = false;
// 不能在foreach过程中修改集合
// 因此需要在遍历完成之后添加
List addedExpressions = [];
foreach (Expression e in closure)
{
if (e.Pos >= e.Right.Count)
{
// 已经移进到达句型的末尾
continue;
}
TerminatorBase next = e.Right[e.Pos];
if (next.IsTerminated)
{
continue;
}
NonTerminator nonTerminator = (NonTerminator)next;
// 将当前未移进的字符和向前看字符拼接为新的向前看表达式
List ahead = [];
for (int i = e.Pos + 1; i < e.Right.Count; i++)
{
ahead.Add(e.Right[i]);
}
ahead.Add(e.LookAhead);
HashSet lookAheadSet = CalculateFirstSetOfExpression(ahead);
foreach (List nextExpression in Generators[nonTerminator])
{
foreach (Terminator lookAhead in lookAheadSet)
{
Expression newExpression = new()
{
Left = nonTerminator, Right = nextExpression, LookAhead = lookAhead, Pos = 0
};
if (!closure.Contains(newExpression))
{
addedExpressions.Add(newExpression);
}
}
}
}
foreach (Expression addedExpression in addedExpressions)
{
if (closure.Add(addedExpression))
{
changed = true;
}
}
}
return closure;
}
public Grammar Build()
{
// 开始之前构建FirstSet
BuildFirstSet();
Expression begin = new()
{
Left = Begin, Right = Generators[Begin].First(), LookAhead = Terminator.EndTerminator, Pos = 0
};
LrState beginState = new() { Expressions = CalculateClosure(begin) };
Automation.Add(beginState);
bool added = true;
while (added)
{
// 同样不能在foreach期间修改集合
HashSet addedStates = [];
foreach (LrState state in Automation)
{
// 表示使用key进行移进可以生成的新LR(1)句型
Dictionary> nextExpressions = [];
foreach (Expression e in state.Expressions)
{
if (e.Pos >= e.Right.Count)
{
// 已经移进到达末尾
continue;
}
TerminatorBase next = e.Right[e.Pos];
Expression nextExpression = new()
{
Left = e.Left, Right = e.Right, LookAhead = e.LookAhead, Pos = e.Pos + 1
};
if (!nextExpressions.TryAdd(next, [nextExpression]))
{
nextExpressions[next].Add(nextExpression);
}
}
foreach (KeyValuePair> pair in nextExpressions)
{
// 针对每个构建项目集闭包
HashSet closure = [];
foreach (Expression expression in pair.Value)
{
closure.UnionWith(CalculateClosure(expression));
}
LrState newState = new() { Expressions = closure };
if (Automation.TryGetValue(newState, out LrState? oldState))
{
// 存在这个项目集闭包
state.AddTransform(pair.Key, oldState);
}
else
{
// 不存在这个项目集闭包
// 但是需要考虑该状态在addedStates集合中的情况
if (addedStates.TryGetValue(newState, out LrState? addedState))
{
state.AddTransform(pair.Key, addedState);
}
else
{
state.AddTransform(pair.Key, newState);
addedStates.Add(newState);
}
}
}
}
added = addedStates.Count != 0;
Automation.UnionWith(addedStates);
}
return new Grammar { Begin = Begin, BeginState = beginState };
}
}