Support streaming background responses

Author: pakrym-oai

examples/responses/stream_background.ts

@@ -0,0 +1,42 @@
+#!/usr/bin/env -S npm run tsn -T
+
+import OpenAI from 'openai';
+
+const openai = new OpenAI();
+
+async function main() {
+  const runner = openai.responses.stream({
+    model: 'gpt-4o-2024-08-06',
+    input: 'solve 8x + 31 = 2',
+    background: true,
+  });
+
+  var id: string | null = null;
+
+  for await (const event of runner) {
+    if (event.type == 'response.created') {
+      id = event.response.id;
+    }
+
+    console.log('event', event);
+    if (event.sequence_number == 10) {
+      break;
+    }
+  }
+
+  console.log('Interrupted. Continuing...');
+
+  const runner2 = openai.responses.stream({
+    response_id: id!,
+    starting_after: 10,
+  });
+
+  for await (const event of runner2) {
+    console.log('event', event);
+  }
+
+  const result = await runner2.finalResponse();
+  console.log(result);
+}
+
+main();