CVP verified calculation capability
Convert between decimal and scientific/engineering notation; normalize and operate on A×10ⁿ forms.
Math Capability ID math.scientific_notation version 2.0.1 CVP VERIFIED CURRENT Core
Scientific
x = A × 10ⁿ, 1 ≤ |A| < 10, for x ≠ 00 → 0(A×10ᵐ)(B×10ⁿ) = (A·B)×10^(m+n)(A×10ᵐ)/(B×10ⁿ) = (A/B)×10^(m−n)Align exponents, then add coefficientsModes: convert · engineering · normalize · operate
Canonical symbols for this capability. Agent schemas remain the contract.
| Symbol | Quantity | Unit | Role |
|---|---|---|---|
value | Decimal, E-notation, or A×10ⁿ literal | — | input / output |
coef | Coefficient A | — | input / output |
exp | Integer exponent n | — | input / output |
op | — | — | input / output |
a | Operand A | — | input |
b | Operand B | — | input |
eng_coef | Engineering coefficient | — | input / output |
eng_exp | Engineering exponent, multiple of 3 | — | input / output |
Inspectable numeric contract for this Capability@Version. Not a rewrite of the engine.
| Field | Declaration |
|---|---|
numeric_domain | real |
exactness | float64 |
algorithm | decimal scientific-string parse / format (coefficient × 10^n) |
valid_domain | finite real; published coefficient/exponent grammar |
singularity_policy | not applicable — notation conversion, not a pole |
branch_policy | not applicable — real decimal |
tolerance | CVP coefficient and reconstructed value ≤2 ULP against recorded independent partitions; exponent exact; not a whole-domain guarantee |
convergence | not applicable — non-iterative |
conditioning | Binary64 rounding, loss of low-order terms and subtraction cancellation; shortest round-trip display is not significant-figure tracking. Decimal exponents combine before one parse; finite subnormals accepted; nonzero round-to-zero rejected.512-character tokens; integer normalization exponent ±10000. |
rounding | IEEE-754 binary64 operands/results; shortest round-trip decimal display; no significant-figure tracking |
overflow | coded error outside the published exponent window |
reproducibility | deterministic format + Capability@Version |
independent_oracle | cvp:math.scientific_notation / Evidence published cases |
golden_vectors | Evidence golden + boundary + property (and published_reference_case when listed) |
Declared scope for this capability. Do not use it outside this domain.
Assumptions
One numerical check. The calculator page holds worked steps and FAQ.
0.00042 → 4.2×10⁻⁴; 0 → 0; (3×10⁴)(2×10⁶)=6×10¹⁰
CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance · all published modes. Computational verification is defined by CVP. Supplemental domain review (internal) and named expert review are defined by the Review policy and do not by themselves determine CVP conformance.
Human page, REST, and MCP share the same engine and calculation_version.
Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json
and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 6/6.
curl -sS -X POST 'https://www.calculatorx.com/api/v1/calc/scientific-notation' \
-H 'Content-Type: application/json' \
-d '{"inputs":{"mode":"convert","value":12300},"calculation_version":"2.0.1"}'{
"inputs": {
"mode": "convert",
"value": 12300
},
"calculation_version": "2.0.1"
}POST /api/v1/calc/scientific-notation. This is a POST calculate endpoint — do not GET it.
Full REST contract: REST API docs.
Declared calculation modes for this capability.
convertengineeringnormalizeoperateHuman-readable sources plus CVP reference evidence classes.
Sources
Reference evidence classes: O1 model · O2 expected_values · O2 expected_values · O2 numerical_behavior
Inspect, then execute. Same engine as REST and the human calculator.
curl -sS -X POST 'https://www.calculatorx.com/mcp' \
-H 'Content-Type: application/json' \
-H 'MCP-Protocol-Version: 2026-07-28' \
-H 'Mcp-Method: tools/call' \
-H 'Mcp-Name: inspect_capability' \
-d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"math.scientific_notation"},"_meta":{"io.modelcontextprotocol/protocolVersion":"2026-07-28","io.modelcontextprotocol/clientInfo":{"name":"calculatorx-docs-example","version":"1.0.0"},"io.modelcontextprotocol/clientCapabilities":{}}}}'curl -sS -X POST 'https://www.calculatorx.com/mcp' \
-H 'Content-Type: application/json' \
-H 'MCP-Protocol-Version: 2026-07-28' \
-H 'Mcp-Method: tools/call' \
-H 'Mcp-Name: execute_calculation' \
-d '{"jsonrpc":"2.0","id":2,"method":"tools/call","params":{"name":"execute_calculation","arguments":{"capability_id":"math.scientific_notation","inputs":{"mode":"convert","value":12300},"calculation_version":"2.0.1"},"_meta":{"io.modelcontextprotocol/protocolVersion":"2026-07-28","io.modelcontextprotocol/clientInfo":{"name":"calculatorx-docs-example","version":"1.0.0"},"io.modelcontextprotocol/clientCapabilities":{}}}}'Pin calculation_version (2.0.1) when the result must stay reproducible.
Inspect the trust tier and required assurance level before execution. Full protocol notes: MCP docs.