import { CODE_BLOCK_PLACEHOLDER_REGEXP, CODE_BLOCK_REGEXP, LATEX_BACKSLASH, LATEX_BLOCKQUOTE_PREFIX_REGEXP, LATEX_CURRENCY_DOLLAR_REGEXP, LATEX_CURRENCY_ESCAPE, LATEX_DIGIT_REGEXP, LATEX_DISPLAY_BLOCK_REGEXP, LATEX_DISPLAY_CLOSE, LATEX_DISPLAY_CONVERT_REGEXP, LATEX_DISPLAY_DELIMITER, LATEX_DISPLAY_OPEN, LATEX_INLINE_CLOSE, LATEX_INLINE_CONVERT_REGEXP, LATEX_INLINE_DELIMITER, LATEX_INLINE_OPEN, LATEX_LINEBREAK_REGEXP, LATEX_MATH_AND_CODE_PATTERN, LATEX_MHCHEM_CE, LATEX_MHCHEM_PU, LATEX_NEIGHBOR_CHAR_REGEXP, LATEX_NON_WHITESPACE_REGEXP, LATEX_PLACEHOLDER_REGEXP, LATEX_PROTECT_REGEXP, LATEX_TRIGGER_REGEXP, MHCHEM_PATTERN_MAP, NEWLINE } from '$lib/constants'; /** * Replaces inline LaTeX expressions enclosed in `$...$` with placeholders, avoiding dollar signs * that appear to be part of monetary values or identifiers. * * This function processes the input line by line and skips `$` sequences that are likely * part of money amounts (e.g., `$5`, `$100.99`) or code-like tokens (e.g., `var$`, `$var`). * Valid LaTeX inline math is replaced with a placeholder like `<>`, and the * actual LaTeX content is stored in the provided `latexExpressions` array. * * @param content - The input text potentially containing LaTeX expressions. * @param latexExpressions - An array used to collect extracted LaTeX expressions. * @returns The processed string with LaTeX replaced by placeholders. */ export function maskInlineLaTeX(content: string, latexExpressions: string[]): string { if (!content.includes(LATEX_INLINE_DELIMITER)) { return content; } return content .split(NEWLINE) .map((line) => { if (line.indexOf(LATEX_INLINE_DELIMITER) == -1) { return line; } let processedLine = ''; let currentPosition = 0; while (currentPosition < line.length) { const openDollarIndex = line.indexOf(LATEX_INLINE_DELIMITER, currentPosition); if (openDollarIndex == -1) { processedLine += line.slice(currentPosition); break; } // Is there a next $-sign? const closeDollarIndex = line.indexOf(LATEX_INLINE_DELIMITER, openDollarIndex + 1); if (closeDollarIndex == -1) { processedLine += line.slice(currentPosition); break; } const charBeforeOpen = openDollarIndex > 0 ? line[openDollarIndex - 1] : ''; const charAfterOpen = line[openDollarIndex + 1]; const charBeforeClose = openDollarIndex + 1 < closeDollarIndex ? line[closeDollarIndex - 1] : ''; const charAfterClose = closeDollarIndex + 1 < line.length ? line[closeDollarIndex + 1] : ''; let shouldSkipAsNonLatex = false; if (closeDollarIndex == currentPosition + 1) { // No content shouldSkipAsNonLatex = true; } if (LATEX_NEIGHBOR_CHAR_REGEXP.test(charBeforeOpen)) { // Character, digit, $, _ or - before first '$', no TeX. shouldSkipAsNonLatex = true; } if ( LATEX_DIGIT_REGEXP.test(charAfterOpen) && (LATEX_NEIGHBOR_CHAR_REGEXP.test(charAfterClose) || ' ' == charBeforeClose) ) { // First $ seems to belong to an amount. shouldSkipAsNonLatex = true; } if (shouldSkipAsNonLatex) { processedLine += line.slice(currentPosition, openDollarIndex + 1); currentPosition = openDollarIndex + 1; continue; } // Treat as LaTeX processedLine += line.slice(currentPosition, openDollarIndex); const latexContent = line.slice(openDollarIndex, closeDollarIndex + 1); latexExpressions.push(latexContent); processedLine += `<>`; currentPosition = closeDollarIndex + 1; } return processedLine; }) .join(NEWLINE); } function escapeBrackets(text: string): string { return text.replace( LATEX_MATH_AND_CODE_PATTERN, ( match: string, codeBlock: string | undefined, squareBracket: string | undefined, roundBracket: string | undefined ): string => { if (codeBlock != null) { return codeBlock; } else if (squareBracket != null) { return `${LATEX_DISPLAY_DELIMITER}${squareBracket}${LATEX_DISPLAY_DELIMITER}`; } else if (roundBracket != null) { return `${LATEX_INLINE_DELIMITER}${roundBracket}${LATEX_INLINE_DELIMITER}`; } return match; } ); } // Escape $\\ce{...} → $\\ce{...} but with proper handling function escapeMhchem(text: string): string { return MHCHEM_PATTERN_MAP.reduce((result, [pattern, replacement]) => { return result.replace(pattern, replacement); }, text); } const doEscapeMhchem = false; /** * Preprocesses markdown content to safely handle LaTeX math expressions while protecting * against false positives (e.g., dollar amounts like $5.99) and ensuring proper rendering. * * This function: * - Protects code blocks (```) and inline code (`...`) * - Safeguards block and inline LaTeX: \(...\), \[...\], $$...$$, and selective $...$ * - Escapes standalone dollar signs before numbers (e.g., $5 → \$5) to prevent misinterpretation * - Restores protected LaTeX and code blocks after processing * - Converts \(...\) → $...$ and \[...\] → $$...$$ for compatibility with math renderers * - Applies additional escaping for brackets and mhchem syntax if needed * * @param content - The raw text (e.g., markdown) that may contain LaTeX or code blocks. * @returns The preprocessed string with properly escaped and normalized LaTeX. * * @example * preprocessLaTeX("Price: $10. The equation is \\(x^2\\).") * // → "Price: $10. The equation is $x^2$." */ /** Bounded cache for preprocessLaTeX results. */ const LATEX_CACHE_MAX_SIZE = 64; const latexCache = new Map(); export function preprocessLaTeX(content: string): string { // See also: // https://github.com/danny-avila/LibreChat/blob/main/client/src/utils/latex.ts // Memoize on the input string. During streaming the prefix before an // incomplete code block stays the same across multiple tokens, so the // full protect/restore pipeline would re-run unnecessarily. const cached = latexCache.get(content); if (cached !== undefined) return cached; // Save original before the function mutates `content` through steps 0-8 const originalContent = content; // Every step below keys off a `$` or a backslash escape (\[ \] \( \) \ce{ \pu{). // With neither present the protect/restore passes round-trip the input // unchanged, so skip them: the step 2 scan is O(n^2) in line length and costs // ~90ms on a 26KB single-line message that contains no math at all. This // matters during streaming, where the whole message is reprocessed per frame. if (!LATEX_TRIGGER_REGEXP.test(content)) { if (latexCache.size >= LATEX_CACHE_MAX_SIZE) { latexCache.delete(latexCache.keys().next().value!); } latexCache.set(originalContent, content); return content; } // Step 0: Temporarily remove blockquote markers (>) to process LaTeX correctly // Store the structure so we can restore it later const blockquoteMarkers: Map = new Map(); const lines = content.split(NEWLINE); const processedLines = lines.map((line, index) => { const match = line.match(LATEX_BLOCKQUOTE_PREFIX_REGEXP); if (match) { blockquoteMarkers.set(index, match[1]); return line.slice(match[1].length); } return line; }); content = processedLines.join(NEWLINE); // Step 1: Protect code blocks const codeBlocks: string[] = []; content = content.replace(CODE_BLOCK_REGEXP, (match) => { codeBlocks.push(match); return `<>`; }); // Step 2: Protect existing LaTeX expressions const latexExpressions: string[] = []; // Match \S...\[...\] and protect them and insert a line-break. // Guarded: with no `\[` present this pattern still probes every start offset, // expanding `.*?` to the end of each line before failing - O(n^2) for nothing. if (content.includes(LATEX_DISPLAY_OPEN)) { content = content.replace(LATEX_DISPLAY_BLOCK_REGEXP, (match, group1, group2, group3) => { // Check if there are characters following the formula (display-formula in a table-cell?) if (group1.endsWith(LATEX_BACKSLASH)) { return match; // Backslash before \[, do nothing. } const hasSuffix = LATEX_NON_WHITESPACE_REGEXP.test(group3); let optBreak; if (hasSuffix) { latexExpressions.push(`${LATEX_INLINE_OPEN}${group2.trim()}${LATEX_INLINE_CLOSE}`); // Convert into inline. optBreak = ''; } else { latexExpressions.push(`${LATEX_DISPLAY_OPEN}${group2}${LATEX_DISPLAY_CLOSE}`); optBreak = NEWLINE; } return `${group1}${optBreak}<>${optBreak}${group3}`; }); } // Match \(...\), \[...\], $$...$$ and protect them content = content.replace(LATEX_PROTECT_REGEXP, (match) => { latexExpressions.push(match); return `<>`; }); // Protect inline $...$ but NOT if it looks like money (e.g., $10, $3.99) content = maskInlineLaTeX(content, latexExpressions); // Step 3: Escape standalone $ before digits (currency like $5 → \$5) // (Now that inline math is protected, this will only escape dollars not already protected) content = content.replace(LATEX_CURRENCY_DOLLAR_REGEXP, LATEX_CURRENCY_ESCAPE); // Step 4: Restore protected LaTeX expressions (they are valid) content = content.replace(LATEX_PLACEHOLDER_REGEXP, (_, index) => { let expr = latexExpressions[parseInt(index)]; const match = expr.match(LATEX_LINEBREAK_REGEXP); if (match) { // Katex: The $$-delimiters should be in their own line // if there are \\-line-breaks. const formula = match[1]; const prefix = formula.startsWith(NEWLINE) ? '' : NEWLINE; const suffix = formula.endsWith(NEWLINE) ? '' : NEWLINE; expr = LATEX_DISPLAY_DELIMITER + prefix + formula + suffix + LATEX_DISPLAY_DELIMITER; } return expr; }); // Step 5: Apply additional escaping functions (brackets and mhchem) // This must happen BEFORE restoring code blocks to avoid affecting code content content = escapeBrackets(content); if (doEscapeMhchem && (content.includes(LATEX_MHCHEM_CE) || content.includes(LATEX_MHCHEM_PU))) { content = escapeMhchem(content); } // Step 6: Convert remaining \(...\) → $...$, \[...\] → $$...$$ // This must happen BEFORE restoring code blocks to avoid affecting code content content = content // Using the look‑behind pattern `(? { return `${LATEX_INLINE_DELIMITER}${formula}${LATEX_INLINE_DELIMITER}`; }) // inline .replace( // Using the look‑behind pattern `(? { return `${LATEX_DISPLAY_DELIMITER}${formula}${LATEX_DISPLAY_DELIMITER}`; } ); // Step 7: Restore code blocks // This happens AFTER all LaTeX conversions to preserve code content content = content.replace(CODE_BLOCK_PLACEHOLDER_REGEXP, (_, index) => { return codeBlocks[parseInt(index)]; }); // Step 8: Restore blockquote markers if (blockquoteMarkers.size > 0) { const finalLines = content.split(NEWLINE); const restoredLines = finalLines.map((line, index) => { const marker = blockquoteMarkers.get(index); return marker ? marker + line : line; }); content = restoredLines.join(NEWLINE); } if (latexCache.size >= LATEX_CACHE_MAX_SIZE) { latexCache.delete(latexCache.keys().next().value!); } latexCache.set(originalContent, content); return content; }