chore: initial git load of code space
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using System.Text.RegularExpressions;
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namespace Strata.SqlTools.Rules.Rule.Expression;
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/// <summary>
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/// Parses markdown/LaTeX mathematical expressions and converts them to Expression objects.
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/// Supports parsing of logical operations, comparisons, properties, and literals.
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/// </summary>
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public static class Markdown
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{
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private static readonly Dictionary<string, Func<Expression, Expression, BoolExpr>> LogicalOperators = new()
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{
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{ "\\land", (left, right) => new And((BoolExpr)left, (BoolExpr)right) },
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{ "\\lor", (left, right) => new Or((BoolExpr)left, (BoolExpr)right) },
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{ "\\wedge", (left, right) => new And((BoolExpr)left, (BoolExpr)right) },
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{ "\\vee", (left, right) => new Or((BoolExpr)left, (BoolExpr)right) },
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{ "AND", (left, right) => new And((BoolExpr)left, (BoolExpr)right) },
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{ "OR", (left, right) => new Or((BoolExpr)left, (BoolExpr)right) },
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};
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private static readonly Dictionary<string, Func<Expression, Expression, Comparison>> ComparisonOperators = new()
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{
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{ "=", (left, right) => new Equal(left, right) },
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{ "\\neq", (left, right) => new NotEqual(left, right) },
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{ "!=", (left, right) => new NotEqual(left, right) },
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{ ">", (left, right) => new GreaterThan(left, right) },
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{ "\\gt", (left, right) => new GreaterThan(left, right) },
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};
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/// <summary>
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/// Parses a markdown/LaTeX string into an Expression object.
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/// </summary>
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/// <param name="markdown">The markdown/LaTeX string to parse.</param>
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/// <returns>The parsed Expression object.</returns>
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/// <exception cref="ArgumentException">Thrown when the markdown cannot be parsed.</exception>
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public static Expression Parse(string markdown)
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{
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if (string.IsNullOrWhiteSpace(markdown))
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{
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throw new ArgumentException("Markdown cannot be null or empty", nameof(markdown));
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}
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// Remove common markdown delimiters
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markdown = markdown.Trim();
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markdown = StripMarkdownDelimiters(markdown);
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return ParseExpression(markdown);
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}
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/// <summary>
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/// Attempts to parse a markdown/LaTeX string into an Expression object.
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/// </summary>
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/// <param name="markdown">The markdown/LaTeX string to parse.</param>
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/// <param name="expression">The parsed Expression object if successful.</param>
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/// <returns>True if parsing was successful, false otherwise.</returns>
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public static bool TryParse(string markdown, out Expression? expression)
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{
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try
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{
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expression = Parse(markdown);
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return true;
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}
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catch
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{
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expression = null;
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return false;
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}
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}
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private static string StripMarkdownDelimiters(string text)
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{
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// Remove $...$ or $$...$$ delimiters
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text = Regex.Replace(text, @"^\$\$?\s*", "");
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text = Regex.Replace(text, @"\s*\$\$?$", "");
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// Remove ```math...``` code fence
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text = Regex.Replace(text, @"^```math\s*", "", RegexOptions.Multiline);
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text = Regex.Replace(text, @"\s*```$", "", RegexOptions.Multiline);
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return text.Trim();
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}
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private static Expression ParseExpression(string text)
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{
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text = text.Trim();
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// Try to parse logical operations (lowest precedence)
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var logicalExpr = TryParseLogicalOperation(text);
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if (logicalExpr is not null)
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{
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return logicalExpr;
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}
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// Try to parse comparison operations
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var comparisonExpr = TryParseComparison(text);
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if (comparisonExpr is not null)
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{
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return comparisonExpr;
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}
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// Handle parentheses
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var parenthesisExpr = TryParseParentheses(text);
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if (parenthesisExpr is not null)
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{
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return parenthesisExpr;
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}
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// Parse property, literal, or other atomic expressions
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return ParseAtomicExpression(text);
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}
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private static Expression? TryParseLogicalOperation(string text)
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{
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foreach (var op in LogicalOperators.Keys)
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{
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var parts = SplitByOperator(text, op);
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if (parts.Length == 2)
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{
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var left = ParseExpression(parts[0]);
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var right = ParseExpression(parts[1]);
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return LogicalOperators[op](left, right);
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}
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}
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return null;
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}
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private static Expression? TryParseComparison(string text)
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{
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foreach (var op in ComparisonOperators.Keys)
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{
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var parts = SplitByOperator(text, op);
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if (parts.Length == 2)
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{
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var left = ParseExpression(parts[0]);
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var right = ParseExpression(parts[1]);
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return ComparisonOperators[op](left, right);
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}
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}
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return null;
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}
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private static Expression? TryParseParentheses(string text)
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{
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// Handle regular parentheses
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if (text.StartsWith('(') && text.EndsWith(')'))
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{
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var inner = text.Substring(1, text.Length - 2);
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if (IsBalanced(inner))
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{
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return ParseExpression(inner);
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}
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}
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// Handle LaTeX \left( and \right)
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if (text.StartsWith("\\left(") && text.EndsWith("\\right)"))
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{
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var inner = text.Substring(6, text.Length - 13);
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if (IsBalanced(inner))
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{
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return ParseExpression(inner);
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}
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}
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return null;
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}
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private static Expression ParseAtomicExpression(string text)
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{
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// Try parsing as property access
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var propertyExpr = TryParseProperty(text);
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if (propertyExpr is not null)
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{
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return propertyExpr;
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}
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// Try parsing as literal
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var literalExpr = TryParseLiteral(text);
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if (literalExpr is not null)
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{
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return literalExpr;
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}
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throw new ArgumentException($"Unable to parse expression: {text}");
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}
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private static Expression? TryParseProperty(string text)
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{
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// Parse property access (e.g., x.PropertyName or \text{x.PropertyName})
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var propertyMatch = Regex.Match(text, @"^([a-zA-Z_][a-zA-Z0-9_]*)\.([a-zA-Z_][a-zA-Z0-9_]*)$");
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if (propertyMatch.Success)
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{
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return new Property(propertyMatch.Groups[1].Value, propertyMatch.Groups[2].Value);
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}
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// Parse \text{...} property access
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var textMatch = Regex.Match(text, @"^\\text\{([^}]+)\}$");
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if (textMatch.Success)
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{
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var textContent = textMatch.Groups[1].Value;
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var propMatch = Regex.Match(textContent, @"^([a-zA-Z_][a-zA-Z0-9_]*)\.([a-zA-Z_][a-zA-Z0-9_]*)$");
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if (propMatch.Success)
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{
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return new Property(propMatch.Groups[1].Value, propMatch.Groups[2].Value);
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}
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// Check for boolean literals in \text{} format
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if (textContent.Equals("true", StringComparison.OrdinalIgnoreCase))
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{
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return new Literal(true);
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}
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if (textContent.Equals("false", StringComparison.OrdinalIgnoreCase))
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{
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return new Literal(false);
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}
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// Single property name
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if (Regex.IsMatch(textContent, @"^[a-zA-Z_][a-zA-Z0-9_]*$"))
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{
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return new Property(textContent);
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}
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// String literal
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return new StringLiteral(textContent);
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}
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// Check for boolean literals before simple property
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if (text.Equals("true", StringComparison.OrdinalIgnoreCase))
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{
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return new Literal(true);
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}
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if (text.Equals("false", StringComparison.OrdinalIgnoreCase))
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{
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return new Literal(false);
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}
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// Parse simple property without parameter
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if (Regex.IsMatch(text, @"^[a-zA-Z_][a-zA-Z0-9_]*$"))
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{
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return new Property(text);
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}
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return null;
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}
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private static Expression? TryParseLiteral(string text)
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{
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// Parse string literals (quoted)
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var stringMatch = Regex.Match(text, @"^[""'](.+?)[""']$");
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if (stringMatch.Success)
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{
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return new StringLiteral(stringMatch.Groups[1].Value);
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}
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// Parse empty string literals
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if (text == "\"\"" || text == "''")
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{
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return new StringLiteral(string.Empty);
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}
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// Parse numeric literals
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if (int.TryParse(text, out var intValue))
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{
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return new NumberLiteral(intValue);
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}
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if (decimal.TryParse(text, out var decimalValue))
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{
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return new NumberLiteral(decimalValue);
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}
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return null;
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}
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private static string[] SplitByOperator(string text, string op)
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{
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var result = new List<string>();
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int depth = 0;
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int lastIndex = 0;
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int i = 0;
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while (i < text.Length)
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{
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i = ProcessParentheses(text, i, ref depth);
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if (i >= text.Length)
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{
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break;
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}
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// Check if we found the operator at depth 0
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if (depth == 0 && i + op.Length <= text.Length && TryMatchOperator(text, i, op))
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{
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result.Add(text.Substring(lastIndex, i - lastIndex).Trim());
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lastIndex = i + op.Length;
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i += op.Length;
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continue;
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}
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i++;
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}
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if (result.Count == 0)
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{
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return new[] { text };
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}
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result.Add(text.Substring(lastIndex).Trim());
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return result.ToArray();
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}
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private static int ProcessParentheses(string text, int index, ref int depth)
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{
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// Track parentheses depth
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if (text[index] == '(' || (index + 5 < text.Length && text.Substring(index, 6) == "\\left("))
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{
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depth++;
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if (text[index] == '\\')
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{
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return index + 6;
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}
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else
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{
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return index + 1;
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}
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}
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if (text[index] == ')' || (index + 6 < text.Length && text.Substring(index, 7) == "\\right)"))
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{
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depth--;
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if (text[index] == '\\')
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{
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return index + 7;
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}
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else
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{
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return index + 1;
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}
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}
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return index;
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}
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private static bool TryMatchOperator(string text, int index, string op)
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{
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var substring = text.Substring(index, op.Length);
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if (substring != op)
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{
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return false;
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}
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// Make sure it's a separate operator, not part of a larger token
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bool validBefore = (index == 0 || char.IsWhiteSpace(text[index - 1]) || text[index] == '\\');
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bool validAfter = (index + op.Length >= text.Length || char.IsWhiteSpace(text[index + op.Length]));
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return validBefore && validAfter;
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}
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private static bool IsBalanced(string text)
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{
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int depth = 0;
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int i = 0;
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while (i < text.Length)
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{
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if (text[i] == '(')
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{
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depth++;
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}
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else if (text[i] == ')')
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{
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depth--;
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if (depth < 0)
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{
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return false;
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}
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}
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else if (i + 5 < text.Length && text.Substring(i, 6) == "\\left(")
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{
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depth++;
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i += 5;
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}
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else if (i + 6 < text.Length && text.Substring(i, 7) == "\\right)")
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{
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depth--;
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if (depth < 0)
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{
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return false;
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}
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i += 6;
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}
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i++;
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}
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return depth == 0;
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}
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}
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