Home Developers Capabilities Discrete Fourier transform

Verified calculation capability

Discrete Fourier transform Calculation Capability

Direct DFT / IDFT and radix-2 FFT / IFFT of a length-N sequence, N≤64. FFT requires N=2^k. Numpy backward: unnormalized forward, 1/N inverse. Discovery /dft, /inverse-dft, /fft, /ifft. Not Laplace, not Z, not CAS. · Math · Transform

Capability ID math.transform.dft · version 1.2.0

Open calculator REST API MCP Evidence Evidence JSON Review policy

Model

Forward DFT

Solve modes: dft · idft · fft · ifft

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

SymbolQuantityUnitRole
samples——input
x——input
re——input / output
im——input / output
namount of substance—output
algorithm——output
normalization——output
x_re——output
x_im——output
mag——output
formula——output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Example

One numerical check. The calculator page holds worked steps and FAQ.

mode=dft samples=1,0,0,0 → X=[1,1,1,1]

Open this example in the calculator

Trust

Review-policy: engine tested — automated tests, sources, version lock, and evidence published. Supplemental to CVP; not Domain Expert Review. See CVP and Review policy.

Tier
Engine tested — catalog token engine_tested
Calculation version
1.2.0
Evidence tests
17/17 calculation tests · golden 6/6 · boundary 3/3 · property 8/8
Engine tested
Yes
Source checked
Yes
Supplemental domain review
Not performed
Named expert review
Not performed
Version lock
Supported (409 VERSION_MISMATCH)
Artifact consistency
Build verified · 1.2.0 (workspace artifacts agree)
Production attestation
Embedded snapshot: unpublished · Build schema 1.2.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status STALE (2 capabilities; 162 remain CURRENT) @ 2026-09-20T09:01:12.147Z
Semantic contract
PASS
Evidence attested at
2026-09-18T21:41:55.460Z
Last production check
2026-09-18T21:41:55.460Z
Public / cache
—
Origin
—

Call this capability

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 3/3.

Tool id
discrete-fourier-transform
Engine
discrete-fourier-transform
REST
POST /api/v1/calc/discrete-fourier-transform
MCP
execute_calculation with capability_id: "math.transform.dft"
Agent input schema
Canonical (MCP / Agent)
Output schema
JSON Schema (latest)
Versioned input schema
Immutable pin (1.2.0)
Versioned output schema
Immutable pin (1.2.0)

References

Human-readable sources plus CVP reference evidence classes.

Sources

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

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.transform.dft"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.2.0) when reproducibility matters. Full protocol notes: MCP docs.