GPT-5·续2

Recursion is when a function solves a problem by calling itself on a smaller version of the same problem, stopping at a simple “base case.”

Simple example: factorial
- Definition: n! (n factorial) is n × (n−1) × (n−2) × … × 1, and 0! = 1.
- Recursive idea: n! = n × (n−1)! with base case 0! = 1.

How factorial(4) works:
- fact(4) = 4 × fact(3)
- fact(3) = 3 × fact(2)
- fact(2) = 2 × fact(1)
- fact(1) = 1 × fact(0)
- fact(0) = 1  ← base case
- Unwinding: 1 → 1 → 2 → 6 → 24, so fact(4) = 24.

Tiny Python version:
def fact(n):
    if n == 0:          # base case
        return 1
    return n * fact(n-1)  # recursive step

Key points:
- Always have a base case to stop.
- Each call must move toward the base case (smaller/simpler input).
- Missing either leads to infinite recursion (and a crash).

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</details>

<details>

<summary>Web Search — Letting the model use OpenAI's built-in web search tool to answer with current information</summary>

const response = await env.AI.run(
  'openai/gpt-5',
  {
    input: 'What were the top news stories about Cloudflare this week? Summarise in three bullets.',
    max_output_tokens: 4096,
    tools: [{ type: 'web_search_preview' }],
  },
)
console.log(response)

curl https://api.cloudflare.com/client/v4/accounts/$CLOUDFLARE_ACCOUNT_ID/ai/v1/responses \
  --header "Authorization: Bearer $CLOUDFLARE_API_TOKEN" \
  --header "Content-Type: application/json" \
  --data '{
  "model": "openai/gpt-5",
  "input": "What were the top news stories about Cloudflare this week? Summarise in three bullets.",
  "max_output_tokens": 4096,
  "tools": [
    {
      "type": "web_search_preview"
    }
  ]
}'

- June 22, 2026: Cloudflare reported increased error rates and latency tied to a fiber cut in Eastern North America, leading to a partial outage and degraded CDN/Cache performance before traffic engineering mitigations stabilized services later in the day. ([cloudflarestatus.com](https://www.cloudflarestatus.com/))
- June 17–18, 2026: Cloudflare expanded its channel focus—launching a Cloudflare One “Design Partner” designation and AI-powered migration toolkit for SASE/Zero Trust deployments—and signed Westcon‑Comstor as an EMEA‑wide distributor to scale partner-led delivery. ([itpro.com](https://www.itpro.com/technology/artificial-intelligence/cloudflare-launches-new-partner-initiative-to-support-ai-and-sase-adoption?utm_source=openai))
- June 16, 2026: Investor group JLens urged Cloudflare shareholders to withhold votes for two directors at the June 30 annual meeting, citing an ADL report criticizing Cloudflare’s services being used by extremist sites; the campaign was covered across financial wires. ([investing.com](https://www.investing.com/news/company-news/jlens-urges-cloudflare-shareholders-to-withhold-board-votes-93CH-4744895))

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        "queries": [
          "Cloudflare news this week June 2026",
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          "Cloudflare earnings June 2026"
        ],
        "query": "Cloudflare news this week June 2026"
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        "type": "open_page",
        "url": "https://www.cloudflarestatus.com/"
      }
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      "type": "web_search_call",
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        "type": "search",
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        ],
        "query": "site:cloudflare.com blog June 2026 Cloudflare announcement"
      }
    },
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          "Cloudflare June 20 2026 news",
          "Cloudflare June 19 2026 news",
          "Cloudflare June 16 2026 news"
        ],
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      }
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      "type": "reasoning",
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      "summary": []
    },
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      "id": "ws_02d60b161a01d826016a3990622f28819bbabde7f244f20734",
      "type": "web_search_call",
      "status": "completed",
      "action": {
        "type": "find_in_page",
        "pattern": "Jun 22",
        "url": "https://www.cloudflarestatus.com/"
      }
    },
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      "id": "rs_02d60b161a01d826016a399065ff30819b9c45d7c98a8f4e39",
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      "type": "web_search_call",
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        "url": "https://www.investing.com/news/company-news/jlens-urges-cloudflare-shareholders-to-withhold-board-votes-93CH-4744895"
      }
    },
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      }
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... response truncated ...

</details>

Parameters

Schema variant

ResponsesChat Completions

▶input

one ofrequired

instructions

string

temperature

numberminimum: 0maximum: 2

max_output_tokens

numberexclusiveMinimum: 0

top_p

numberminimum: 0maximum: 1

stream

boolean

▶tools[]

array

tool_choice

▶text{}

object

▶reasoning{}

object

▶messages[]

arrayrequired

temperature

numberminimum: 0maximum: 2

max_tokens

numberexclusiveMinimum: 0

max_completion_tokens

numberexclusiveMinimum: 0

top_p

numberminimum: 0maximum: 1

frequency_penalty

numberminimum: -2maximum: 2

presence_penalty

numberminimum: -2maximum: 2

stream

boolean

▶stream_options{}

object

▶tools[]

array

tool_choice

response_format

▶modalities[]

array

▶audio{}

object

reasoning_effort

stringOptional reasoning control; availability and accepted values are model-dependent.

id

string

object

stringconst: response

created_at

number

model

string

▶output[]

array

output_text

string

status

stringenum: in_progress, completed, failed, incomplete

▶usage{}

object

id

string

object

string

created

number

model

string

▶choices[]

array

▶usage{}

object

API Schemas (Raw)

Input Open Download

Output Open Download

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description: GPT-5 Mini is the lightweight, low-cost variant of GPT-5, well suited to high-volume coding and reasoning tasks. title: GPT-5 mini image: https://developers.cloudflare.com/og-docs.png

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