# compute-metrics

`station__bicone__compute-metrics` · external (needs EXECUTION_BACKEND_URL configured) · domain `bicone` · pv-relevance `non-pv`

Compute all bicone metrics from a width sequence: volume, entropy, asymmetry, convergence rate, singularity index, and peak index. The width sequence represents cross-sectional widths along the axis of a convergent-divergent shape.

> **Note:** This tool routes through an external execution backend. If `EXECUTION_BACKEND_URL` is unset on the server, calls return JSON-RPC error `-32603 "Tool execution backend not configured"`. Tools with `backend: native` execute in-process and are always callable.

## Agent metadata

- `idempotent`: unknown
- `read_only`: unknown
- `expected_latency_ms`: unknown (not yet contract-tested)
- `cost_tokens_estimate`: unknown

## Input schema

- `widths` *array* (required) — Width values along the bicone axis (e.g., [10, 8, 5, 2, 1, 2, 5, 8, 10]). Minimum 3 values.

## Example call

```json
POST /api/mcp
Content-Type: application/json

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "station__bicone__compute-metrics",
    "arguments": {
      "widths": []
    }
  }
}
```

## Related

- [/tools](/tools) — all 3062 tools
- [/tools/bicone__compute-metrics](/tools/bicone__compute-metrics) — HTML page
- [/tools/bicone__compute-metrics/json](/tools/bicone__compute-metrics/json) — JSON form (agent-friendly)
- [/api/mcp](/api/mcp) — endpoint
- [/AGENTS.md](/AGENTS.md) — agent guide