Add example for CustomMultiChildLayout (#96632)

This adds a simple example to CustomMultiChildLayout that lays out colored containers in a cascade.
diff --git a/examples/api/lib/widgets/basic/custom_multi_child_layout.0.dart b/examples/api/lib/widgets/basic/custom_multi_child_layout.0.dart
new file mode 100644
index 0000000..332754e
--- /dev/null
+++ b/examples/api/lib/widgets/basic/custom_multi_child_layout.0.dart
@@ -0,0 +1,124 @@
+// Copyright 2014 The Flutter Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+// Flutter code sample for CustomMultiChildLayout
+
+import 'package:flutter/material.dart';
+
+void main() => runApp(const ExampleApp());
+
+class ExampleApp extends StatelessWidget {
+  const ExampleApp({Key? key}) : super(key: key);
+
+  @override
+  Widget build(BuildContext context) {
+    return const MaterialApp(
+      home: Directionality(
+        // TRY THIS: Try changing the direction here and hot-reloading to
+        // see the layout change.
+        textDirection: TextDirection.ltr,
+        child: Scaffold(
+          body: ExampleWidget(),
+        ),
+      ),
+    );
+  }
+}
+
+/// Lays out the children in a cascade, where the top corner of the next child
+/// is a little above (`overlap`) the lower end corner of the previous child.
+///
+/// Will relayout if the text direction changes.
+class _CascadeLayoutDelegate extends MultiChildLayoutDelegate {
+  _CascadeLayoutDelegate({
+    required this.colors,
+    required this.overlap,
+    required this.textDirection,
+  });
+
+  final Map<String, Color> colors;
+  final double overlap;
+  final TextDirection textDirection;
+
+  // Perform layout will be called when re-layout is needed.
+  @override
+  void performLayout(Size size) {
+    final double columnWidth = size.width / colors.length;
+    Offset childPosition = Offset.zero;
+    switch (textDirection) {
+      case TextDirection.rtl:
+        childPosition += Offset(size.width, 0);
+        break;
+      case TextDirection.ltr:
+        break;
+    }
+    for (final String color in colors.keys) {
+      // layoutChild must be called exactly once for each child.
+      final Size currentSize = layoutChild(
+        color,
+        BoxConstraints(maxHeight: size.height, maxWidth: columnWidth),
+      );
+      // positionChild must be called to change the position of a child from
+      // what it was in the previous layout. Each child starts at (0, 0) for the
+      // first layout.
+      switch (textDirection) {
+        case TextDirection.rtl:
+          positionChild(color, childPosition - Offset(currentSize.width, 0));
+          childPosition += Offset(-currentSize.width, currentSize.height - overlap);
+          break;
+        case TextDirection.ltr:
+          positionChild(color, childPosition);
+          childPosition += Offset(currentSize.width, currentSize.height - overlap);
+          break;
+      }
+    }
+  }
+
+  // shouldRelayout is called to see if the delegate has changed and requires a
+  // layout to occur. Should only return true if the delegate state itself
+  // changes: changes in the CustomMultiChildLayout attributes will
+  // automatically cause a relayout, like any other widget.
+  @override
+  bool shouldRelayout(_CascadeLayoutDelegate oldDelegate) {
+    return oldDelegate.textDirection != textDirection
+        || oldDelegate.overlap != overlap;
+  }
+}
+
+class ExampleWidget extends StatelessWidget {
+  const ExampleWidget({Key? key}) : super(key: key);
+
+  static const Map<String, Color> _colors = <String, Color>{
+    'Red': Colors.red,
+    'Green': Colors.green,
+    'Blue': Colors.blue,
+    'Cyan': Colors.cyan,
+  };
+
+  @override
+  Widget build(BuildContext context) {
+    return CustomMultiChildLayout(
+      delegate: _CascadeLayoutDelegate(
+        colors: _colors,
+        overlap: 30.0,
+        textDirection: Directionality.of(context),
+      ),
+      children: <Widget>[
+        // Create all of the colored boxes in the colors map.
+        for (MapEntry<String, Color> entry in _colors.entries)
+          // The "id" can be any Object, not just a String.
+          LayoutId(
+            id: entry.key,
+            child: Container(
+              color: entry.value,
+              width: 100.0,
+              height: 100.0,
+              alignment: Alignment.center,
+              child: Text(entry.key),
+            ),
+          ),
+      ],
+    );
+  }
+}
diff --git a/examples/api/test/widgets/basic/custom_multi_child_layout.0_test.dart b/examples/api/test/widgets/basic/custom_multi_child_layout.0_test.dart
new file mode 100644
index 0000000..c762a58
--- /dev/null
+++ b/examples/api/test/widgets/basic/custom_multi_child_layout.0_test.dart
@@ -0,0 +1,59 @@
+// Copyright 2014 The Flutter Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+import 'package:flutter/material.dart';
+import 'package:flutter_api_samples/widgets/basic/custom_multi_child_layout.0.dart'
+    as example;
+import 'package:flutter_test/flutter_test.dart';
+
+void main() {
+  testWidgets('has four containers', (WidgetTester tester) async {
+    await tester.pumpWidget(
+      const MaterialApp(
+        home: Scaffold(
+          body: example.ExampleWidget(),
+        ),
+      ),
+    );
+    final Finder containerFinder = find.byType(Container);
+    expect(containerFinder, findsNWidgets(4));
+  });
+
+  testWidgets('containers are the same size', (WidgetTester tester) async {
+    await tester.pumpWidget(
+      const MaterialApp(
+        home: Scaffold(
+          body: example.ExampleWidget(),
+        ),
+      ),
+    );
+    final Finder containerFinder = find.byType(Container);
+    const Size expectedSize = Size(100, 100);
+    for (int i = 0; i < 4; i += 1) {
+      expect(tester.getSize(containerFinder.at(i)), equals(expectedSize));
+    }
+    expect(containerFinder, findsNWidgets(4));
+  });
+
+  testWidgets('containers are offset', (WidgetTester tester) async {
+    await tester.pumpWidget(
+      const MaterialApp(
+        home: Scaffold(
+          body: example.ExampleWidget(),
+        ),
+      ),
+    );
+    final Finder containerFinder = find.byType(Container);
+    Rect previousRect = tester.getRect(containerFinder.first);
+    for (int i = 1; i < 4; i += 1) {
+      expect(
+        tester.getRect(containerFinder.at(i)),
+        equals(previousRect.shift(const Offset(100, 70))),
+        reason: 'Rect $i not correct size',
+      );
+      previousRect = tester.getRect(containerFinder.at(i));
+    }
+    expect(containerFinder, findsNWidgets(4));
+  });
+}
diff --git a/packages/flutter/lib/src/widgets/basic.dart b/packages/flutter/lib/src/widgets/basic.dart
index 775faeb..cf25026 100644
--- a/packages/flutter/lib/src/widgets/basic.dart
+++ b/packages/flutter/lib/src/widgets/basic.dart
@@ -2138,6 +2138,15 @@
 /// Each child must be wrapped in a [LayoutId] widget to identify the widget for
 /// the delegate.
 ///
+/// {@tool dartpad}
+/// This example shows a [CustomMultiChildLayout] widget being used to lay out
+/// colored blocks from start to finish in a cascade that has some overlap.
+///
+/// It responds to changes in [Directionality] by re-laying out its children.
+///
+/// ** See code in examples/api/lib/widgets/basic/custom_multi_child_layout.0.dart **
+/// {@end-tool}
+///
 /// See also:
 ///
 ///  * [MultiChildLayoutDelegate], for details about how to control the layout of