Show full Gaussian probability tooltip

frontend/components/dashboard/scan-terminal/TemperatureTooltipContent.tsx

@@ -77,8 +77,8 @@ export function TemperatureTooltipContent({
         </div>
       )}
       {probabilityRows.length > 0 && (
-        <div className={rows.length > 0 ? "mt-1.5 grid gap-1 border-t border-slate-100 pt-1.5" : "grid gap-1"}>
+        <div className={rows.length > 0 ? "mt-1.5 grid max-h-[260px] gap-1 overflow-y-auto border-t border-slate-100 pt-1.5 pr-1" : "grid max-h-[260px] gap-1 overflow-y-auto pr-1"}>
-          {probabilityRows.slice(0, 8).map((item) => (
+          {probabilityRows.map((item) => (
             <div key={item.key} className="flex min-w-[160px] items-center justify-between gap-4">
               <span className="inline-flex items-center gap-1.5 text-violet-700">
                 <span className="h-2 w-2 rounded-full" style={{ backgroundColor: item.color }} />
@@ -118,6 +118,18 @@ function buildTooltipRows(
     .filter((item): item is TooltipRow => item !== null);
 }
 
+function formatProbabilityRangeValue(value: number) {
+  return Number(value.toFixed(1)).toString();
+}
+
+function formatProbabilityRangeLabel(
+  lower: number,
+  upper: number,
+  tempSymbol: string,
+) {
+  return `${formatProbabilityRangeValue(lower)}-${formatProbabilityRangeValue(upper)}${tempSymbol}`;
+}
+
 function buildTooltipProbabilityRows(
   probabilityOverlay: ProbabilityOverlay | null | undefined,
   tempSymbol: string,
@@ -135,18 +147,20 @@ function buildTooltipProbabilityRows(
     });
   }
 
-  const topBand = [...probabilityOverlay.bands]
+  rows.push(
-    .filter((band) => validNumber(band.probability) !== null)
+    ...[...probabilityOverlay.bands]
-    .sort((a, b) => b.probability - a.probability)[0];
+      .filter((band) => validNumber(band.probability) !== null && band.probability > 0)
-  if (topBand) {
+      .sort((a, b) => a.lower - b.lower)
-    const probabilityPct = Math.round(topBand.probability * 100);
+      .map((band) => {
-    rows.push({
+        const probabilityPct = Math.round(band.probability * 100);
-      key: topBand.key,
+        return {
-      label: topBand.label,
+          key: band.key,
-      value: `${probabilityPct}%`,
+          label: formatProbabilityRangeLabel(band.lower, band.upper, tempSymbol),
-      color: "#a78bfa",
+          value: `${probabilityPct}%`,
-    });
+          color: "#a78bfa",
-  }
+        };
+      }),
+  );
   return rows;
 }
 

frontend/components/dashboard/scan-terminal/__tests__/temperatureTooltipContent.test.ts

@@ -61,6 +61,15 @@ export function runTests() {
       engine: "legacy",
       muLine: { value: 27.4, label: "Gaussian μ 27.4°C" },
       bands: [
+        {
+          key: "legacy_probability_26_0",
+          value: 26,
+          lower: 25.5,
+          upper: 26.5,
+          probability: 0.18,
+          label: "26°C 18%",
+          opacity: 0.08,
+        },
         {
           key: "legacy_probability_27_0",
           value: 27,
@@ -70,6 +79,15 @@ export function runTests() {
           label: "27°C 42%",
           opacity: 0.13,
         },
+        {
+          key: "legacy_probability_28_0",
+          value: 28,
+          lower: 27.5,
+          upper: 28.5,
+          probability: 0.31,
+          label: "28°C 31%",
+          opacity: 0.11,
+        },
       ],
     },
     "°C",
@@ -77,13 +95,15 @@ export function runTests() {
   );
 
   assert(
-    probabilityRows.length === 2,
+    probabilityRows.length === 4,
-    "temperature tooltip should show Gaussian μ and the leading probability bucket as compact context",
+    "temperature tooltip should show Gaussian μ and every available probability bucket as compact context",
   );
   assert(
     probabilityRows.some((row) => row.key === "legacy_probability_mu" && row.value === "27.4°C") &&
-      probabilityRows.some((row) => row.key === "legacy_probability_27_0" && row.value === "42%"),
+      probabilityRows.some((row) => row.key === "legacy_probability_26_0" && row.label === "25.5-26.5°C" && row.value === "18%") &&
-    "temperature tooltip should format Gaussian μ and probability values without drawing a full probability band on the main chart",
+      probabilityRows.some((row) => row.key === "legacy_probability_27_0" && row.label === "26.5-27.5°C" && row.value === "42%") &&
+      probabilityRows.some((row) => row.key === "legacy_probability_28_0" && row.label === "27.5-28.5°C" && row.value === "31%"),
+    "temperature tooltip should format the full Gaussian probability distribution by temperature range without drawing it on the main chart",
   );
 
   const projectRoot = process.cwd();