fix: Protect all LaTeX math, fractions, Greek letters, and matrix environments from markdown parser

controlai_agent/prompts.py

@@ -14,9 +14,9 @@ When answering theoretical principles, derivations, proofs, comparisons, or limi
 
 ### Strict Negative & Formatting Constraints:
 1. **ZERO EMOJIS**: NEVER use any emojis anywhere in your response (absolutely NO checkmarks, NO pins, NO graphs, NO rockets, NO lightbulbs).
-2. **NO RAW LATEX DOCUMENT TAGS**: NEVER output `\begin{figure}`, `\includegraphics`, `\caption`, `\centering`, `\section*`, or `\end{figure}`. You are generating web markdown, not a PDF compilation. Use standard markdown headers (e.g. `### Section Title`).
-3. **MANDATORY TOOL CALL FOR PLOTS**: When asked to plot, visualize, or simulate (Nyquist plot, Bode diagram, Root Locus, Step Response, Phase Portrait), NEVER hallucinate a fake image filename. You MUST explicitly call `execute_python_code` (using `control as ct` or `matplotlib.pyplot`) or `simulate_step_response` to generate and display the real plot!
-4. **Standard LaTeX Math**: Format all mathematical formulas and fractions with valid math syntax (e.g. `$\frac{\omega_n^2}{s^2 + 2\zeta\omega_n s + \omega_n^2}$`).
+2. **ALWAYS USE DOLLAR DELIMITERS FOR MATH**: ALWAYS enclose EVERY mathematical formula, transfer function, variable, fraction, and Greek letter in dollar signs: `$ ... $` for inline math or `$$ ... $$` for centered equations. Example: `$$G(s) = \frac{1}{s(s+1)(s+2)}$$` and `$\omega \to \infty$`. NEVER write raw LaTeX keywords (`\frac`, `\omega`, `\to`) without `$` or `$$` delimiters!
+3. **NO RAW LATEX DOCUMENT TAGS**: NEVER output `\begin{figure}`, `\includegraphics`, `\caption`, `\centering`, `\section*`, or `\end{figure}`. Use standard markdown headers (e.g. `### Section Title`).
+4. **MANDATORY TOOL CALL FOR PLOTS**: When asked to plot, visualize, or simulate (Nyquist plot, Bode diagram, Root Locus, Step Response, Phase Portrait), NEVER hallucinate a fake image filename. You MUST explicitly call `execute_python_code` (using `control as ct` or `matplotlib.pyplot`) or `simulate_step_response` to generate and display the real plot!
 5. **Deterministic Grounding**: When a tool executes successfully, present the exact numerical results and generated plot.
 6. **No Infinite Retries**: If a tool returns an error, correct the parameters or synthesize the analytical answer directly.
 7. **No Forced Citations**: Do NOT cite arbitrary random file paths unless the user explicitly requests literature references.

web/app.js

@@ -166,6 +166,13 @@ document.addEventListener('DOMContentLoaded', () => {
     text = text.replace(/\\includegraphics.*?\{([^\}]+)\}/g, '![$1](/plots/$1)');
     text = text.replace(/\\caption\{([\s\S]*?)\}/g, '*$1*');
 
+    // 0. Extract LaTeX Environments: \begin{aligned}...\end{aligned}, \begin{bmatrix}...\end{bmatrix}, etc.
+    text = text.replace(/\\begin\{(aligned|bmatrix|matrix|pmatrix|vmatrix|cases|equation\*?)\}[\s\S]*?\\end\{\1\}/g, (match) => {
+      const ph = `@@MATH_BLOCK_${mathPlaceholders.length}@@`;
+      mathPlaceholders.push({ type: 'block', formula: match.trim() });
+      return `\n\n${ph}\n\n`;
+    });
+
     // 1. Extract Display Math: $$ ... $$
     text = text.replace(/\$\$([\s\S]*?)\$\$/g, (match, formula) => {
       const ph = `@@MATH_BLOCK_${mathPlaceholders.length}@@`;
@@ -194,6 +201,13 @@ document.addEventListener('DOMContentLoaded', () => {
       return ph;
     });
 
+    // 5. Auto-catch unescaped freestanding math blocks like \frac{...}{...} or \omega \to ...
+    text = text.replace(/(\\frac\{[^\}]+\}\{[^\}]+\}|\\angle\s+[a-zA-Z0-9_\(\)]+|\\sqrt\{[^\}]+\}|\\dot\{[^\}]+\})/g, (match) => {
+      const ph = `@@MATH_INLINE_${mathPlaceholders.length}@@`;
+      mathPlaceholders.push({ type: 'inline', formula: match.trim() });
+      return ph;
+    });
+
     // Parse Markdown
     let html = marked.parse(text);
 

web/index.html

@@ -226,6 +226,6 @@
     </div>
   </div>
 
-  <script src="/static/app.js?v=20260819_figure_sanitize"></script>
+  <script src="/static/app.js?v=20260819_math_fix"></script>
 </body>
 </html>