feat: instrument analysis

frontend/src/pages/CausalLab.tsx

@@ -1,4 +1,5 @@
 import { useState, useEffect, useRef, useCallback } from 'react'
+import { useSearchParams } from 'react-router-dom'
 import {
   FlaskConical, Library, Zap, BarChart3, RefreshCw, Edit3,
   Sliders, Brain, Search, CheckCircle, XCircle, Minus, AlertCircle,
@@ -372,7 +373,7 @@ function GraphLegend() {
 
 // ── Tab: Bibliothèque ─────────────────────────────────────────────────────────
 
-function TabLibrary() {
+function TabLibrary({ initialTemplateId }: { initialTemplateId?: number | null }) {
   const [templates, setTemplates] = useState<Template[]>([])
   const [selected, setSelected]   = useState<Template | null>(null)
   const [catFilter, setCatFilter] = useState('')
@@ -396,6 +397,13 @@ function TabLibrary() {
       .finally(() => setLoading(false))
   }, [catFilter])
 
+  // Auto-select template when arriving from a deep-link (?template=ID)
+  useEffect(() => {
+    if (!initialTemplateId || !templates.length || selected) return
+    const t = templates.find(t => t.id === initialTemplateId)
+    if (t) selectTemplate(t)
+  }, [templates, initialTemplateId])
+
   function selectTemplate(t: Template) {
     setSelected(t)
     setEditCoefs(Object.fromEntries(
@@ -1676,7 +1684,9 @@ const TABS = [
 ]
 
 export default function CausalLab() {
-  const [tab, setTab] = useState('library')
+  const [searchParams]    = useSearchParams()
+  const initialTemplateId = searchParams.get('template') ? parseInt(searchParams.get('template')!) : null
+  const [tab, setTab]     = useState('library')
 
   return (
     <div className="p-6 min-h-screen">
@@ -1702,7 +1712,7 @@ export default function CausalLab() {
       </div>
 
       <div className="bg-dark-800 rounded-xl p-5 border border-slate-700/30">
-        {tab === 'library' && <TabLibrary />}
+        {tab === 'library' && <TabLibrary initialTemplateId={initialTemplateId} />}
         {tab === 'editor'  && <TabEditor />}
         {tab === 'analyze' && <TabAnalyze />}
         {tab === 'calib'   && <TabCalibration />}