diff --git a/src/utils/homeTopMask.js b/src/utils/homeTopMask.js
new file mode 100644
index 0000000..39e0273
--- /dev/null
+++ b/src/utils/homeTopMask.js
@@ -0,0 +1,11 @@
+export function getTopMaskProgress({ scrollTop, startY, rangeY }) {
+  const safeScrollTop = Number.isFinite(scrollTop) ? scrollTop : 0
+  const start = Math.max(0, Number.isFinite(startY) ? startY : 0)
+  const range = Math.max(1, Number.isFinite(rangeY) ? rangeY : 1)
+
+  if (safeScrollTop <= start) {
+    return 0
+  }
+
+  return Math.min(1, (safeScrollTop - start) / range)
+}
diff --git a/tools/homeTopMask.test.mjs b/tools/homeTopMask.test.mjs
new file mode 100644
index 0000000..7873cf8
--- /dev/null
+++ b/tools/homeTopMask.test.mjs
@@ -0,0 +1,30 @@
+import test from 'node:test'
+import assert from 'node:assert/strict'
+import { getTopMaskProgress } from '../src/utils/homeTopMask.js'
+
+test('returns 0 before the title reaches the status-bar area', () => {
+  assert.equal(
+    getTopMaskProgress({ scrollTop: 30, startY: 80, rangeY: 40 }),
+    0
+  )
+})
+
+test('ramps linearly through the transition range', () => {
+  assert.equal(
+    getTopMaskProgress({ scrollTop: 100, startY: 80, rangeY: 40 }),
+    0.5
+  )
+})
+
+test('returns 1 after the full transition range', () => {
+  assert.equal(
+    getTopMaskProgress({ scrollTop: 180, startY: 80, rangeY: 40 }),
+    1
+  )
+})
+
+test('clamps invalid values into a stable progress range', () => {
+  assert.equal(getTopMaskProgress({ scrollTop: -10, startY: 80, rangeY: 40 }), 0)
+  assert.equal(getTopMaskProgress({ scrollTop: 90, startY: 80, rangeY: 0 }), 1)
+  assert.equal(getTopMaskProgress({ scrollTop: Number.NaN, startY: 80, rangeY: 40 }), 0)
+})