ucon-mcp
Verified unit conversion and dimensional analysis for AI agents. 190+ units, 31 domain formulas (clinical, physics, aerospace, SRE), physical constants with uncertainty propagation. Refuses invalid conversions structurally: the tool that won't convert mg to mL and knows the difference between torque and energy.
README
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ucon-tools
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Hostable interfaces for the ucon dimensional analysis engine.
Documentation · MCP Server Guide · Tool Reference
What is ucon-tools?
ucon is a unit-aware computation library for Python. ucon-tools packages it into interfaces that other systems can consume — MCP servers for AI agents, REST APIs for web services, CLIs for humans at a terminal.
Each interface lives under ucon.tools.<interface> and is installable as an optional extra:
| Interface | Package | Extra | Status |
|---|---|---|---|
| MCP server | ucon.tools.mcp |
ucon-tools[mcp] |
Available |
| REST API | ucon.tools.rest |
ucon-tools[rest] |
Planned |
| CLI | ucon.tools.cli |
ucon-tools[cli] |
Planned |
MCP Server
The MCP server gives AI agents (Claude, Cursor, and other MCP clients) dimensionally-verified unit conversion and computation.
Agent: "Convert 5 mcg/kg/min for an 80 kg patient to mL/h. Drug is 400 mg in 250 mL."
decompose → constraint solver places quantities, auto-bridges mcg→mg and min→h
compute → 5 × 80 kg × (60 min/h) × (1 mg/1000 mcg) × (250 mL/400 mg) = 15 mL/h
validate → result dimension matches expected unit ✓
Installation
pip install ucon-tools[mcp]
Requires Python 3.10+.
Configuration
Claude Desktop / Claude Code — add to your MCP configuration:
{
"mcpServers": {
"ucon": {
"command": "uvx",
"args": ["--from", "ucon-tools[mcp]", "ucon-mcp"]
}
}
}
Standalone:
ucon-mcp # stdio transport (default)
ucon-mcp --transport sse # SSE transport for remote clients
Tools
Core — conversion and computation:
| Tool | Description |
|---|---|
convert |
Convert a value between compatible units |
compute |
Multi-step factor-label calculation with dimensional tracking |
decompose |
Build a factor chain from natural-language or structured input |
check_dimensions |
Check if two units share the same dimension |
Discovery — explore the unit system:
| Tool | Description |
|---|---|
list_units |
List available units, optionally filtered by dimension |
list_scales |
List SI decimal and binary prefixes |
list_dimensions |
List available physical dimensions |
list_constants |
List physical constants (CODATA 2022) |
list_formulas |
List registered domain formulas |
Runtime extension — add units and conversions per session:
| Tool | Description |
|---|---|
define_unit |
Register a custom unit for the session |
define_conversion |
Add a conversion edge (linear or affine) |
define_constant |
Define a custom physical constant |
call_formula |
Call a registered dimensionally-typed formula |
reset_session |
Clear all session-defined units, conversions, and constants |
Kind-of-Quantity (KOQ) — semantic disambiguation:
| Tool | Description |
|---|---|
define_quantity_kind |
Register a quantity kind for disambiguation |
declare_computation |
Declare expected quantity kind before computing |
validate_result |
Validate that a result matches the declared kind |
list_quantity_kinds |
List registered quantity kinds |
extend_basis |
Create an extended dimensional basis |
list_extended_bases |
List session-defined extended bases |
Architecture
ucon-tools is an interface layer. It does not reimplement dimensional analysis — it delegates to ucon for all unit resolution, conversion, and dimensional algebra. What it adds is interface-specific logic: session state, protocol handling, error suggestions, and agent-oriented features like the decompose constraint solver and KOQ disambiguation.
┌───────────────────────────────────────────────────────┐
│ Clients │
│ MCP (Claude, Cursor) · HTTP · Terminal │
└──────────┬──────────────────┬──────────────┬──────────┘
│ │ │
┌──────────▼───┐ ┌──────────▼───┐ ┌───────▼──────┐
│ ucon.tools │ │ ucon.tools │ │ ucon.tools │
│ .mcp │ │ .rest │ │ .cli │
│ │ │ │ │ │
│ sessions │ │ (planned) │ │ (planned) │
│ decompose │ │ │ │ │
│ KOQ │ │ │ │ │
│ suggestions │ │ │ │ │
└──────┬───────┘ └──────┬───────┘ └──────┬───────┘
│ │ │
└──────────────────┼─────────────────┘
│ Python imports
┌──────────▼──────────┐
│ ucon │
│ │
│ Units, Dimensions │
│ ConversionGraph │
│ Scales, Constants │
└─────────────────────┘
Development
make venv # Create virtual environment
source .ucon-tools-3.12/bin/activate # Activate
make test # Run tests
make test-all # Run across all supported Python versions
Running the MCP server locally
make mcp-server # Foreground (stdio)
make mcp-server-bg # Background
make mcp-server-stop # Stop background server
License
AGPL-3.0. See LICENSE.
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