{ "name": "CalculatorX Core Capabilities", "version": "1.0.0", "generatedAt": "2026-11-10T06:33:20.001Z", "homepage": "https://www.calculatorx.com", "openapi": "https://www.calculatorx.com/openapi.json", "documentation": "https://www.calculatorx.com/developers", "agent_guide": "https://www.calculatorx.com/for-agents", "review_policy": "https://www.calculatorx.com/review-policy", "tiers": { "candidate": "Review-policy candidate — schema + catalog entry; engine tests incomplete or failing. Not a CVP status.", "engine_tested": "Review-policy: engine tested — automated tests, sources, version lock, and evidence published. Supplemental to CVP; not Domain Expert Review. See CVP and Review policy.", "internally_reviewed": "Review-policy: internally reviewed — engine tested plus CalculatorX domain review. Supplemental to CVP; not an expert-verified reviewedBy record.", "expert_verified": "Review-policy: expert-verified tier — engine tested plus an identified external reviewer or independent review team. Catalog L3 token; supplemental to CVP." }, "tier_counts": { "candidate": 3, "engine_tested": 263, "internally_reviewed": 110, "expert_verified": 0 }, "discovery": { "search": "Use this catalog; do not load all 500 site tools as MCP natives. Prefer tier=engine_tested or higher (internally_reviewed / expert_verified). Catalog token verified is L3 only (alias of expert_verified).", "execute": "POST /api/v1/calc/{toolId} with inputs; pin calculation_version when required." }, "version_lock": { "header": "CalculatorX-Spec-Version", "body_field": "calculation_version", "body_alias": "calculationVersion", "consistency": "all_supplied_pins_must_agree", "mismatch_status": 409, "mismatch_code": "VERSION_MISMATCH", "conflict_status": 409, "conflict_code": "VERSION_PIN_CONFLICT", "invalid_status": 400, "invalid_code": "INVALID_VERSION_PIN" }, "input_transport": { "api_contract_version": "1.0.2", "scope": "REST calculation inputs and MCP execute_calculation inputs, including nested arrays/objects", "nonzero_to_zero": "NUMERIC_UNDERFLOW", "http_status": 400, "limitation": "Does not recover precision already lost before sending. Other finite binary64 rounding remains permitted; this is not arbitrary-precision input." }, "count": 376, "capabilities": [ { "capability_id": "electrical.apparent_power", "tool_id": "amps-to-va", "engine": "amps-va", "title": "Electrical apparent power", "summary": "Single-phase or balanced sinusoidal three-phase (L-L) AC apparent power: amps↔VA and amps→kVA. (calculation_version 1.4.3)", "page": "https://www.calculatorx.com/calc/electric/amps-to-va", "api": "https://www.calculatorx.com/api/v1/calc/amps-to-va", "calculation_version": "1.4.3", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.apparent_power.input.json", "output": "https://www.calculatorx.com/schemas/electrical.apparent_power.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.apparent_power/1.4.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.apparent_power/1.4.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.apparent_power/1.4.3", "capability_page": "https://www.calculatorx.com/capabilities/electrical.apparent_power", "verification": { "tests": { "passed": 36, "total": 36, "golden": 9, "boundary": 13, "property": 14 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 36, "passed": 36, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 13, "passed": 13 }, "property": { "total": 14, "passed": 14 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not for DC systems", "Not for unbalanced or nonsinusoidal three-phase; √3 formula assumes balanced sinusoidal V_LL = √3 V_LN and equal line currents", "Not for line-to-neutral three-phase mode", "Not for equipment protection or conductor sizing", "When power_factor is supplied, REST/MCP include derived.estimated_real_power; omitted when λ is absent" ], "methods": [], "operations": [ "amps-va", "va-amps", "amps-kva" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.3", "artifacts": { "engine": "1.4.3", "page": "1.4.3", "capability": "1.4.3", "evidence": "1.4.3", "input_schema": "1.4.3", "output_schema": "1.4.3", "mcp_contract": "1.4.3" }, "digests": { "input_schema_sha256": "5bf23cb0b374dc943d075d420a742cbbfabfe8dd5b7f4a26a608ec186c0b9835", "output_schema_sha256": "550be97c601f18e5c860c9a6aaf3d5f117474eda14f4121568ae369861f1b19c", "evidence_sha256": "5a2953f6e477fe8209fcf7c24d5e04f38452fda1a88096f95fd879301bc6aec7", "evidence_core_sha256": "5a2953f6e477fe8209fcf7c24d5e04f38452fda1a88096f95fd879301bc6aec7", "capability_sha256": "759a302daeeb7c5d5a1fcf4cd35dde92fe57a341d4c24e8fc570487a7494f20e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.ohms_law", "tool_id": "ohms-law", "engine": "ohms-law", "title": "Ohm's law", "summary": "Solve any two of V, I, R, P for resistive DC / AC RMS circuits. (calculation_version 1.5.1)", "page": "https://www.calculatorx.com/calc/electric/ohms-law", "api": "https://www.calculatorx.com/api/v1/calc/ohms-law", "calculation_version": "1.5.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.ohms_law.input.json", "output": "https://www.calculatorx.com/schemas/electrical.ohms_law.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.ohms_law/1.5.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.ohms_law/1.5.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.ohms_law/1.5.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.ohms_law", "verification": { "tests": { "passed": 18, "total": 18, "golden": 8, "boundary": 4, "property": 6 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 18, "passed": 18, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Resistive model only", "Not for reactive impedance networks", "Fewer than two inputs → NEEDS_TWO_INPUTS; non-finite → INVALID_NUMBER", "Zero divisors yield 0 for dependents (soft boundary)" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.1", "artifacts": { "engine": "1.5.1", "page": "1.5.1", "capability": "1.5.1", "evidence": "1.5.1", "input_schema": "1.5.1", "output_schema": "1.5.1", "mcp_contract": "1.5.1" }, "digests": { "input_schema_sha256": "a57a0030ddac026cdbc3f5ac8722a6df635bee154adbb29c68e19f2897e79b20", "output_schema_sha256": "796c868957dd0501e42d16a60ad1c67434f36023b0560cf2b0ff77222988f4e9", "evidence_sha256": "f12cf426050df66a04d903b1036627e7a5c0c9812364b9f2ad6377c5763b2beb", "evidence_core_sha256": "f12cf426050df66a04d903b1036627e7a5c0c9812364b9f2ad6377c5763b2beb", "capability_sha256": "0de84c2531cb3a3902efa21a487a5e8ce3f0d0c023638014df550766707ba976", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watts_amps", "tool_id": "watts-to-amps", "engine": "watts-amps", "title": "Watts ↔ amps", "summary": "Convert real power and current for DC, single-phase, or three-phase with power factor. (calculation_version 1.4.1)", "page": "https://www.calculatorx.com/calc/electric/watts-to-amps", "api": "https://www.calculatorx.com/api/v1/calc/watts-to-amps", "calculation_version": "1.4.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watts_amps.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watts_amps.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_amps/1.4.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_amps/1.4.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_amps/1.4.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_amps", "verification": { "tests": { "passed": 24, "total": 24, "golden": 12, "boundary": 4, "property": 8 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 24, "passed": 24, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 8, "passed": 8 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not for unbalanced three-phase", "Not for line-to-neutral three-phase as a separate mode", "Not a substitute for breaker or conductor sizing" ], "methods": [], "operations": [ "w-a", "a-w" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.1", "artifacts": { "engine": "1.4.1", "page": "1.4.1", "capability": "1.4.1", "evidence": "1.4.1", "input_schema": "1.4.1", "output_schema": "1.4.1", "mcp_contract": "1.4.1" }, "digests": { "input_schema_sha256": "c81941dfc9e2bdc8d5f422b5af389c2e47a9e6c6420d547e1f8ea49b4bff2cdb", "output_schema_sha256": "fbed785a3393b689760e84859b8c45ae7bdbc696a9f826b9c83e0684d3fd3958", "evidence_sha256": "68717dcc741fec42b74f9f9b361247a93b188dd02014e2ecc6776cbdef928f29", "evidence_core_sha256": "68717dcc741fec42b74f9f9b361247a93b188dd02014e2ecc6776cbdef928f29", "capability_sha256": "b3afa52dad2e45ea682dfa556d8301394d96d757c6a2c923d257fcc5eaa329fb", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.power_factor", "tool_id": "power-factor", "engine": "power-factor", "title": "Power factor", "summary": "Compute apparent power S, power factor λ, and reactive power Q from RMS V, I, and real power P for 1φ or balanced 3φ. (calculation_version 1.5.1)", "page": "https://www.calculatorx.com/calc/electric/power-factor", "api": "https://www.calculatorx.com/api/v1/calc/power-factor", "calculation_version": "1.5.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.power_factor.input.json", "output": "https://www.calculatorx.com/schemas/electrical.power_factor.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.power_factor/1.5.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.power_factor/1.5.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.power_factor/1.5.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.power_factor/1.5.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.power_factor", "verification": { "tests": { "passed": 26, "total": 26, "golden": 10, "boundary": 8, "property": 8 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 26, "passed": 26, "failed": 0, "golden": { "total": 10, "passed": 10 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 8, "passed": 8 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Correction capacitor estimate is UI-only (not part of the API result)", "Not for harmonic-rich or engineered bank design", "When P > S, PF is capped at 1 and Q = 0 (soft clamp)", "Voltage must be > 0 (VOLTAGE_MUST_BE_POSITIVE); zero volts is not a valid S=0 shortcut" ], "methods": [], "operations": [ "single", "three-ll", "three-ln" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.1", "artifacts": { "engine": "1.5.1", "page": "1.5.1", "capability": "1.5.1", "evidence": "1.5.1", "input_schema": "1.5.1", "output_schema": "1.5.1", "mcp_contract": "1.5.1" }, "digests": { "input_schema_sha256": "58f7124c7fa45a14a497899c2e332e231b44ed54732eafc036000d910742d5cb", "output_schema_sha256": "033f5d62f827aa868e68783f3c570dd404f88eb2ad51504f45fb99dbbd307933", "evidence_sha256": "de338588572a08b398aca691d7b4b53ef288b400592283bcbb0885ee198bc85c", "evidence_core_sha256": "de338588572a08b398aca691d7b4b53ef288b400592283bcbb0885ee198bc85c", "capability_sha256": "eced46491a37196e22a9caf71a200dc84a3472c967fbe00d53f39dad21c49046", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.voltage_drop", "tool_id": "voltage-drop", "engine": "voltage-drop", "title": "Voltage drop", "summary": "Estimate conductor voltage drop from current, one-way length, and Ω/km for DC / resistive 1φ or balanced 3φ (resistance-only, PF≈1). Always returns conductor I²R loss P_loss. Optional V_system adds percent drop and estimated load voltage; optional u_* compose expanded uncertainty on V_drop via Uncertainty Engine. (calculation_version 1.5.2)", "page": "https://www.calculatorx.com/calc/wire/voltage-drop", "api": "https://www.calculatorx.com/api/v1/calc/voltage-drop", "calculation_version": "1.5.2", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.voltage_drop.input.json", "output": "https://www.calculatorx.com/schemas/electrical.voltage_drop.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_drop/1.5.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_drop/1.5.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.voltage_drop/1.5.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.voltage_drop", "verification": { "tests": { "passed": 38, "total": 38, "golden": 12, "boundary": 12, "property": 14 }, "contract_checks": { "passed": 8, "total": 8 } }, "evidence_tests": { "total": 38, "passed": 38, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 12, "passed": 12 }, "property": { "total": 14, "passed": 14 }, "contract": { "total": 8, "passed": 8, "failed": 0 } }, "limitations": [ "Resistance-only estimate — AC reactance neglected; AC modes assume PF ≈ 1", "Not a substitute for code-compliant cable sizing or ampacity", "3φ V_system is line-to-line; percent_drop and V_load use that same basis", "Zero I/length/R → 0 V (valid); negatives → VALUE_MUST_BE_NON_NEGATIVE", "mode must be dc or three (INVALID_MODE otherwise); REST/UI default dc if omitted", "V_system if set must be > 0 (VALUE_MUST_BE_POSITIVE); omit it to return volts only", "Optional u_* use GUM sensitivity only; empty u_* still returns { V_drop, R_one_way, P_loss, … } without uncertainty", "Engine tested, source checked, evidence published (L1). Named expert review is a higher assurance tier (L3), not required for engine-tested status. Not a code-compliance certification." ], "methods": [], "operations": [ "dc", "three" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.2", "artifacts": { "engine": "1.5.2", "page": "1.5.2", "capability": "1.5.2", "evidence": "1.5.2", "input_schema": "1.5.2", "output_schema": "1.5.2", "mcp_contract": "1.5.2" }, "digests": { "input_schema_sha256": "3bfb5b8d5c9afbe1a91d8aeecdd27df18b533a1ffd75dd2f33b9b214e8fdd429", "output_schema_sha256": "4f13f3ba3869b287cbb38a6c062ea47c40fbd60156baf76d993ec648fb392075", "evidence_sha256": "c859fc50d87f33b26a58f1533e8337e0adaea32a9a712b8019fc67257b5b9b0f", "evidence_core_sha256": "c859fc50d87f33b26a58f1533e8337e0adaea32a9a712b8019fc67257b5b9b0f", "capability_sha256": "4e3609124e99adac2132b325853eb2190cb4e06918576e019bdc47a74e3c659c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 8, "passed": 8, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "schema-coverage-requires-u", "status": "pass" }, { "id": "schema-rejects-boundary-unc-k-without-u", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.voltage_divider", "tool_id": "voltage-divider", "engine": "voltage-divider", "title": "Voltage divider", "summary": "Solve unloaded two-resistor divider networks from exactly three of Vin, R1, R2, Vout; also returns series current, resistor power, divider ratio, and Thevenin output resistance Rth. (calculation_version 1.5.1)", "page": "https://www.calculatorx.com/calc/electric/voltage-divider", "api": "https://www.calculatorx.com/api/v1/calc/voltage-divider", "calculation_version": "1.5.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.voltage_divider.input.json", "output": "https://www.calculatorx.com/schemas/electrical.voltage_divider.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_divider/1.5.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.voltage_divider/1.5.1/output.json", "by_operation": { "solve-Vout": "https://www.calculatorx.com/schemas/electrical.voltage_divider/solve-Vout.input.json", "solve-R2": "https://www.calculatorx.com/schemas/electrical.voltage_divider/solve-R2.input.json", "solve-R1": "https://www.calculatorx.com/schemas/electrical.voltage_divider/solve-R1.input.json", "solve-Vin": "https://www.calculatorx.com/schemas/electrical.voltage_divider/solve-Vin.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.voltage_divider/1.5.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.voltage_divider", "verification": { "tests": { "passed": 28, "total": 28, "golden": 9, "boundary": 8, "property": 11 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 28, "passed": 28, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 11, "passed": 11 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Unloaded two-resistor divider only", "Canonical input is exactly three of Vin, R1, R2, Vout", "Fewer than three inputs → NEEDS_THREE_INPUTS", "All four inputs → TOO_MANY_INPUTS (not a consistency check)", "Solving R1/R2 requires Vin > Vout > 0 (INVALID_DIVIDER_VOLTAGES otherwise)", "R1+R2=0 when solving Vout → RESISTANCE_MUST_BE_POSITIVE", "Not for loaded dividers, AC reactive dividers, or RF" ], "methods": [], "operations": [ "solve-Vout", "solve-R2", "solve-R1", "solve-Vin" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.1", "artifacts": { "engine": "1.5.1", "page": "1.5.1", "capability": "1.5.1", "evidence": "1.5.1", "input_schema": "1.5.1", "output_schema": "1.5.1", "mcp_contract": "1.5.1" }, "digests": { "input_schema_sha256": "0663ccfc519ce176d1634215338c442f4b6b6f5e1961f0e49f06188d6ac947fa", "output_schema_sha256": "e6d562f2f93ce1cf437a532b25eec76c06c605f1eb72d36d7d7000957ba515df", "evidence_sha256": "db4d5c042ad0fefb601201628f159f93125b571d290e0b4ba5dc3dbe1546a836", "evidence_core_sha256": "db4d5c042ad0fefb601201628f159f93125b571d290e0b4ba5dc3dbe1546a836", "capability_sha256": "44db47c6701e24aef2105f6e441c71fb271fb102179b485e17e996a183c76024", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.energy_consumption", "tool_id": "energy-consumption", "engine": "energy", "title": "Energy consumption", "summary": "Convert watts and hours to kilowatt-hours. (calculation_version 1.4.2)", "page": "https://www.calculatorx.com/calc/electric/energy-consumption", "api": "https://www.calculatorx.com/api/v1/calc/energy-consumption", "calculation_version": "1.4.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-13", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.energy_consumption.input.json", "output": "https://www.calculatorx.com/schemas/electrical.energy_consumption.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.energy_consumption/1.4.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.energy_consumption/1.4.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.energy_consumption/1.4.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.energy_consumption/1.4.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.energy_consumption", "verification": { "tests": { "passed": 16, "total": 16, "golden": 9, "boundary": 3, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Assumes constant power over the stated hours", "W and hours must be ≥ 0 (VALUE_MUST_BE_NON_NEGATIVE)", "UI daily month/year projections are presentation-only; engine returns period kWh" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.2", "artifacts": { "engine": "1.4.2", "page": "1.4.2", "capability": "1.4.2", "evidence": "1.4.2", "input_schema": "1.4.2", "output_schema": "1.4.2", "mcp_contract": "1.4.2" }, "digests": { "input_schema_sha256": "4fbea79f291b0be2d402bcdf35e1ee32958364497986406299f9bc995d16ad71", "output_schema_sha256": "513207640dd3f6145f0da67434085aa12ebf3bc9a84d9250d53dda64ead66e47", "evidence_sha256": "88bb112a74695ed62e5fb53f2fad494f685f60085d00276d8ec0add393392ae8", "evidence_core_sha256": "88bb112a74695ed62e5fb53f2fad494f685f60085d00276d8ec0add393392ae8", "capability_sha256": "e6d89a81e90e41bcf66b0564ac4eb45ded36d7b685a17ee70fe73dac7bc678ff", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.energy_cost", "tool_id": "energy-cost", "engine": "energy-cost", "title": "Energy cost", "summary": "Estimate electricity cost from watts/hours or kWh and a unit rate. (calculation_version 1.4.2)", "page": "https://www.calculatorx.com/calc/electric/energy-cost", "api": "https://www.calculatorx.com/api/v1/calc/energy-cost", "calculation_version": "1.4.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-13", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.energy_cost.input.json", "output": "https://www.calculatorx.com/schemas/electrical.energy_cost.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.energy_cost/1.4.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.energy_cost/1.4.2/output.json", "by_operation": { "watts": "https://www.calculatorx.com/schemas/electrical.energy_cost/watts.input.json", "kwh": "https://www.calculatorx.com/schemas/electrical.energy_cost/kwh.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.energy_cost/1.4.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.energy_cost/1.4.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.energy_cost", "verification": { "tests": { "passed": 28, "total": 28, "golden": 10, "boundary": 13, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 28, "passed": 28, "failed": 0, "golden": { "total": 10, "passed": 10 }, "boundary": { "total": 13, "passed": 13 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Usage cost only — standing charge and tax not included", "W, hours, days, kWh, and rate must be ≥ 0", "Hours per day must be ≤ 24 (HOURS_PER_DAY_OUT_OF_RANGE)", "Zero W/hours/days/kWh/rate → 0" ], "methods": [], "operations": [ "watts", "kwh" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.2", "artifacts": { "engine": "1.4.2", "page": "1.4.2", "capability": "1.4.2", "evidence": "1.4.2", "input_schema": "1.4.2", "output_schema": "1.4.2", "mcp_contract": "1.4.2" }, "digests": { "input_schema_sha256": "12262cc56ba4bd37d19d307cb4bd0bc5d9dce4fde5270bd9146c57e088dabaf9", "output_schema_sha256": "e11e90e9c7aa944658f65c395d04a726024128cf3a15b9b48dae535fb46aa2fa", "evidence_sha256": "88adc40899e760f9c43c52c17cab924e8249a30d8e5c1623d4c1c1d7453fdc65", "evidence_core_sha256": "88adc40899e760f9c43c52c17cab924e8249a30d8e5c1623d4c1c1d7453fdc65", "capability_sha256": "56a98c73cc3de58d00ff0e13b062b492614db834d0c9068b51917fb2877ecf28", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.ev_voltage", "tool_id": "ev-to-volts", "engine": "ev-voltage", "title": "eV to Volts", "summary": "Relate electronvolt energy to electric potential difference through E = qV using charge magnitude and the exact SI elementary charge. (calculation_version 1.3.0)", "page": "https://www.calculatorx.com/calc/electric/ev-to-volts", "page_aliases": [ { "tool_id": "volts-to-ev", "page": "https://www.calculatorx.com/calc/electric/ev-to-volts", "api": "https://www.calculatorx.com/api/v1/calc/volts-to-ev" } ], "api": "https://www.calculatorx.com/api/v1/calc/ev-to-volts", "calculation_version": "1.3.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.ev_voltage.input.json", "output": "https://www.calculatorx.com/schemas/electrical.ev_voltage.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.ev_voltage/1.3.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.ev_voltage/1.3.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.ev_voltage/1.3.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.ev_voltage/1.3.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.ev_voltage", "verification": { "tests": { "passed": 21, "total": 21, "golden": 12, "boundary": 5, "property": 4 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 21, "passed": 21, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Charge is magnitude only — electron (−e) vs proton (+e) sign is not modeled", "Q = 0 when solving for voltage → ZERO_CHARGE (not 0 V)", "Uses exact SI e = 1.602176634×10⁻¹⁹ C", "Not a pure eV↔V unit conversion; ΔE = qΔV" ], "methods": [], "operations": [ "ev-v-e", "ev-v-c", "v-ev-e", "v-ev-c" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.0", "artifacts": { "engine": "1.3.0", "page": "1.3.0", "capability": "1.3.0", "evidence": "1.3.0", "input_schema": "1.3.0", "output_schema": "1.3.0", "mcp_contract": "1.3.0" }, "digests": { "input_schema_sha256": "372f3e8d25563732b3d1c97d63a4d5f012c97419053504fc14cd7a335e7f7d80", "output_schema_sha256": "3fb400eaf4fae09a6c405dd8ddfa34747286b5ca3615d9f4792e25aee4d3f58b", "evidence_sha256": "1ff5fbce6b57514d8ab42b01d86c7dcfb0b40dee4209f995d2c760ed1609693a", "evidence_core_sha256": "1ff5fbce6b57514d8ab42b01d86c7dcfb0b40dee4209f995d2c760ed1609693a", "capability_sha256": "4bb2dec1492123d2e913b9eb333f62e9637cfffb70668be1caa3df6fce6c63d8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watt_volt_amp", "tool_id": "watt-volt-amp", "engine": "watt-volt-amp", "title": "Watt / volt / amp", "summary": "Solve any two of P, V, I, R for simple resistive power relationships. (calculation_version 1.5.1)", "page": "https://www.calculatorx.com/calc/electric/watt-volt-amp", "api": "https://www.calculatorx.com/api/v1/calc/watt-volt-amp", "calculation_version": "1.5.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp/1.5.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watt_volt_amp/1.5.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watt_volt_amp/1.5.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watt_volt_amp/1.5.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watt_volt_amp", "verification": { "tests": { "passed": 17, "total": 17, "golden": 8, "boundary": 4, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Resistive model only", "Fewer than two inputs throws; zero divisors yield 0 for dependents" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.1", "artifacts": { "engine": "1.5.1", "page": "1.5.1", "capability": "1.5.1", "evidence": "1.5.1", "input_schema": "1.5.1", "output_schema": "1.5.1", "mcp_contract": "1.5.1" }, "digests": { "input_schema_sha256": "bc49ebb92a15d482954fc73412070f669f8ccacc9667b4ace21e613c8ba12d8e", "output_schema_sha256": "2bff83a1041be8c7a8cffcea93ccc74e7d0d2c8b882a5bfe394dd201b3a0f55a", "evidence_sha256": "44a892192934a5a39dc628e3aa58c539b0d974b9e3cd05b580fd31b386ba9532", "evidence_core_sha256": "44a892192934a5a39dc628e3aa58c539b0d974b9e3cd05b580fd31b386ba9532", "capability_sha256": "0de3cdb6a4e3c750f374f6380ffb53dd973144d4c50b52fd60a8fe2e17cffa2f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.power", "tool_id": "power", "engine": "electric-power", "title": "Electric power", "summary": "Real power in watts from V×I×PF (DC / 1φ / balanced 3φ L-L), from I²R, or average power E/Δt. PF=0 is valid (P=0); blank PF defaults to 1. Δt=0 is INVALID_TIME_INTERVAL. (calculation_version 1.3.0)", "page": "https://www.calculatorx.com/calc/electric/power", "api": "https://www.calculatorx.com/api/v1/calc/power", "calculation_version": "1.3.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.power.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/electrical.power.input.json", "agent_input": "https://www.calculatorx.com/schemas/electrical.power.agent.input.json", "output": "https://www.calculatorx.com/schemas/electrical.power.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.power/1.3.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.power/1.3.0/output.json", "by_operation": { "vi_dc": "https://www.calculatorx.com/schemas/electrical.power/vi_dc.input.json", "vi_ac_single": "https://www.calculatorx.com/schemas/electrical.power/vi_ac_single.input.json", "vi_ac_three_phase_ll": "https://www.calculatorx.com/schemas/electrical.power/vi_ac_three_phase_ll.input.json", "i2r": "https://www.calculatorx.com/schemas/electrical.power/i2r.input.json", "energy_average": "https://www.calculatorx.com/schemas/electrical.power/energy_average.input.json", "power-vi": "https://www.calculatorx.com/schemas/electrical.power/power-vi.input.json", "vi": "https://www.calculatorx.com/schemas/electrical.power/vi.input.json", "power-ir": "https://www.calculatorx.com/schemas/electrical.power/power-ir.input.json", "power-energy": "https://www.calculatorx.com/schemas/electrical.power/power-energy.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.power/1.3.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.power/1.3.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.power", "verification": { "tests": { "passed": 26, "total": 26, "golden": 14, "boundary": 7, "property": 5 }, "contract_checks": { "passed": 3, "total": 3 } }, "evidence_tests": { "total": 26, "passed": 26, "failed": 0, "golden": { "total": 14, "passed": 14 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 3, "passed": 3, "failed": 0 } }, "limitations": [ "V×I path is real power P, not apparent power S (use amps-to-va)", "Three-phase is balanced sinusoidal L-L only", "I²R tab is I+R only; V²/R is Ohm’s law, not a third tab", "PF blank → 1; PF=0 → P=0; PF outside [0,1] → INVALID_POWER_FACTOR", "Δt ≤ 0 → INVALID_TIME_INTERVAL (not a soft 0 W)", "Sinusoidal PF teaching model; true PF with harmonics is not computed" ], "methods": [], "operations": [ "power-vi", "power-ir", "power-energy", "vi_dc", "vi_ac_single", "vi_ac_three_phase_ll", "i2r", "energy_average" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.0", "artifacts": { "engine": "1.3.0", "page": "1.3.0", "capability": "1.3.0", "evidence": "1.3.0", "input_schema": "1.3.0", "output_schema": "1.3.0", "mcp_contract": "1.3.0" }, "digests": { "input_schema_sha256": "2e541d9c0ab753ca0b0140f198ccdec21056ab1f12cc61f59078c2cb5c22c6c7", "output_schema_sha256": "f6df0c7463bbd2fff8bf0bc4c2ba6082e86d1558b9597b25c8dc670a80c83bcc", "evidence_sha256": "e538f10bbfc752b24fa82bf80318fbdc86686071f57c6c8cd5fe78d64fe39c13", "evidence_core_sha256": "e538f10bbfc752b24fa82bf80318fbdc86686071f57c6c8cd5fe78d64fe39c13", "capability_sha256": "1c8c9e84ddf267aaf53429e7ae810475c25687e8096a1cac4a1c5be6db08ac7c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 3, "passed": 3, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.electricity_bill", "tool_id": "electricity", "engine": "electricity-bill", "title": "Electricity bill", "summary": "Estimate a simple electricity bill from kWh or meter readings plus rates and fees. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/electricity", "api": "https://www.calculatorx.com/api/v1/calc/electricity", "calculation_version": "1.3.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-13", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.electricity_bill.input.json", "output": "https://www.calculatorx.com/schemas/electrical.electricity_bill.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.electricity_bill/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.electricity_bill/1.3.1/output.json", "by_operation": { "kwh": "https://www.calculatorx.com/schemas/electrical.electricity_bill/kwh.input.json", "meter": "https://www.calculatorx.com/schemas/electrical.electricity_bill/meter.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.electricity_bill/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.electricity_bill/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.electricity_bill", "verification": { "tests": { "passed": 21, "total": 21, "golden": 10, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 21, "passed": 21, "failed": 0, "golden": { "total": 10, "passed": 10 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not for TOU / slab tariffs / export credits", "Current meter reading must be ≥ previous reading; otherwise METER_READING_DECREASED is returned", "Fee is a lump sum only; percentage and per-kWh taxes are not calculated" ], "methods": [], "operations": [ "kwh", "meter" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "8e57ad145969881ae2da285855f712bef698997f05f5855af3274f92b9737e57", "output_schema_sha256": "49a507d762717fa8939a7268df765f51b15e13725f6e4ba1f9e1952da789a2a3", "evidence_sha256": "83d0ad2ffcd8ef332055c800b162d6405e6216dcfd4c102cafb2cddd23dfb14d", "evidence_core_sha256": "83d0ad2ffcd8ef332055c800b162d6405e6216dcfd4c102cafb2cddd23dfb14d", "capability_sha256": "2574bc7b6d5f919b894239e49b75a272bee12f0ab69a84a6324bbcf798ce731b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.amps_to_kw", "tool_id": "amps-to-kw", "engine": "amps-kw", "title": "Amps to kW", "summary": "Convert current and voltage to real power in kW (or reverse) for DC, single-phase AC, and balanced three-phase L-L. (calculation_version 1.4.3)", "page": "https://www.calculatorx.com/calc/electric/amps-to-kw", "api": "https://www.calculatorx.com/api/v1/calc/amps-to-kw", "calculation_version": "1.4.3", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-05", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.input.json", "output": "https://www.calculatorx.com/schemas/electrical.amps_to_kw.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.amps_to_kw/1.4.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.amps_to_kw/1.4.3/output.json", "by_operation": { "a-kw": "https://www.calculatorx.com/schemas/electrical.amps_to_kw/a-kw.input.json", "kw-a": "https://www.calculatorx.com/schemas/electrical.amps_to_kw/kw-a.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_kw/1.4.3.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.amps_to_kw/1.4.3", "capability_page": "https://www.calculatorx.com/capabilities/electrical.amps_to_kw", "verification": { "tests": { "passed": 16, "total": 16, "golden": 8, "boundary": 3, "property": 5 }, "contract_checks": { "passed": 36, "total": 36 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 36, "passed": 36, "failed": 0 } }, "limitations": [ "DC, single-phase AC, or balanced three-phase L-L only", "DC payloads must omit power_factor", "Not for unbalanced three-phase", "Not for line-to-neutral three-phase as a selectable mode", "AC power_factor must be in (0, 1] — no soft coerce", "V ≤ 0 → VOLTAGE_MUST_BE_POSITIVE", "factor is an implementation constant (0.001) and is not an Agent input" ], "methods": [], "operations": [ "a-kw", "kw-a" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.3", "artifacts": { "engine": "1.4.3", "page": "1.4.3", "capability": "1.4.3", "evidence": "1.4.3", "input_schema": "1.4.3", "output_schema": "1.4.3", "mcp_contract": "1.4.3" }, "digests": { "input_schema_sha256": "1c75b76701130204769f10dd9f62bcc89d62d36d3551bbfbb00fcfdd362a412c", "output_schema_sha256": "910992de9e00b5727f5c85689adf1d565c3eab3a0a467055c893403dd631c190", "evidence_sha256": "126919d5dc91b8df95725f0fa2221e131bc30bfab2456568927cff45adee1f8e", "evidence_core_sha256": "126919d5dc91b8df95725f0fa2221e131bc30bfab2456568927cff45adee1f8e", "capability_sha256": "6aeb6fcbb1243aaf9d91d9a609256c6fd7db41baca9e07f7d4d6b77120ba30da", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 36, "passed": 36, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.4.3" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.4.3" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.4.3" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.4.3" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.4.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "operation-input-oneof", "status": "pass", "detail": "a-kw,kw-a" }, { "id": "factor-not-in-canonical-schema", "status": "pass" }, { "id": "output-units-include-kw-and-a", "status": "pass", "detail": "[\"kW\",\"A\"]" }, { "id": "operation-a-kw-schema-valid", "status": "pass" }, { "id": "operation-kw-a-schema-valid", "status": "pass" }, { "id": "operation-dc-omits-pf", "status": "pass" }, { "id": "operation-dc-rejects-power-factor", "status": "pass" }, { "id": "operation-requires-mode", "status": "pass" }, { "id": "operation-rejects-factor", "status": "pass" }, { "id": "operation-ac-requires-power-factor", "status": "pass" }, { "id": "operation-a-kw-unit-kW", "status": "pass", "detail": "kW" }, { "id": "operation-kw-a-unit-A", "status": "pass", "detail": "A" }, { "id": "output-mode-unit-binding", "status": "pass" }, { "id": "operation-result-matches-detail", "status": "pass" }, { "id": "operation-formula-matches-system", "status": "pass" }, { "id": "versioned-schema-pin", "status": "pass" }, { "id": "versioned-schema-id", "status": "pass", "detail": "https://www.calculatorx.com/schemas/electrical.amps_to_kw/1.4.3/input.json" }, { "id": "jsonld-valid-json", "status": "pass" }, { "id": "jsonld-type-webapplication", "status": "pass" }, { "id": "jsonld-name-match", "status": "pass" }, { "id": "jsonld-canonical-url", "status": "pass" }, { "id": "jsonld-software-version-match", "status": "pass" }, { "id": "jsonld-system-semantics", "status": "pass" }, { "id": "jsonld-offer-free-match", "status": "pass" }, { "id": "jsonld-breadcrumb-match", "status": "pass" }, { "id": "jsonld-visible-content-match", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.amps_to_volts", "tool_id": "amps-to-volts", "engine": "amps-volts", "title": "Amps to volts", "summary": "Solve voltage from current plus resistance or power, and reverse to current. Watts paths cover DC, AC single-phase, and balanced three-phase L-L. (calculation_version 1.4.2)", "page": "https://www.calculatorx.com/calc/electric/amps-to-volts", "api": "https://www.calculatorx.com/api/v1/calc/amps-to-volts", "calculation_version": "1.4.2", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.input.json", "output": "https://www.calculatorx.com/schemas/electrical.amps_to_volts.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/1.4.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/1.4.2/output.json", "by_operation": { "a-v-ohm": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/a-v-ohm.input.json", "v-a-ohm": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/v-a-ohm.input.json", "a-v-watt": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/a-v-watt.input.json", "v-a-watt": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/v-a-watt.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.amps_to_volts/1.4.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.amps_to_volts/1.4.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.amps_to_volts", "verification": { "tests": { "passed": 42, "total": 42, "golden": 11, "boundary": 20, "property": 11 }, "contract_checks": { "passed": 38, "total": 38 } }, "evidence_tests": { "total": 42, "passed": 42, "failed": 0, "golden": { "total": 11, "passed": 11 }, "boundary": { "total": 20, "passed": 20 }, "property": { "total": 11, "passed": 11 }, "contract": { "total": 38, "passed": 38, "failed": 0 } }, "limitations": [ "Composite page: ohms path is V=IR; watts path is P/(I·PF) with optional √3", "Not for converting amps to volts from current alone", "JSON Schema is a callable-input envelope (types/required/enums). Zeros, negatives, and PF outside (0,1] may be schema-valid; the engine returns stable error codes", "DC payloads must omit power_factor. REST may still send PF on DC: ignored with POWER_FACTOR_IGNORED", "AC watts paths require power_factor in (0, 1]. UI initializes AC PF to 1.0; Agent/API clients must send it. Explicit PF=0 is POWER_FACTOR_OUT_OF_RANGE, not a silent 1", "P>0 with I=0 → CURRENT_MUST_BE_NONZERO; V≠0 with R=0 → RESISTANCE_MUST_BE_NONZERO; 0/0 → UNDEFINED", "IEEE-754 binary64; non-finite results → NON_FINITE_RESULT", "Not for unbalanced three-phase" ], "methods": [], "operations": [ "a-v-ohm", "a-v-watt", "v-a-ohm", "v-a-watt" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.2", "artifacts": { "engine": "1.4.2", "page": "1.4.2", "capability": "1.4.2", "evidence": "1.4.2", "input_schema": "1.4.2", "output_schema": "1.4.2", "mcp_contract": "1.4.2" }, "digests": { "input_schema_sha256": "13f02e679f92360d7a2e0bd2cab9f2adb37b7e99488fdafbe821d198caf95f6b", "output_schema_sha256": "d370c0ab19dd413a6bb72ef3b6593168cb1d174f439e77495b8b32a313dad36f", "evidence_sha256": "2446074a048ebbf41418eedc3afbd89f65ab65c8e62d32313eab10cbc3c56ebf", "evidence_core_sha256": "2446074a048ebbf41418eedc3afbd89f65ab65c8e62d32313eab10cbc3c56ebf", "capability_sha256": "0fb834ba9ad04284da1da9ba5b4dbfbde446e388ccb528a3708809807e17996a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 38, "passed": 38, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.4.2" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.4.2" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.4.2" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.4.2" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.4.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "operation-input-oneof", "status": "pass", "detail": "a-v-ohm,v-a-ohm,a-v-watt,v-a-watt" }, { "id": "output-units-include-v-and-a", "status": "pass", "detail": "[\"V\",\"A\"]" }, { "id": "operation-a-v-ohm-schema-valid", "status": "pass" }, { "id": "operation-v-a-ohm-schema-valid", "status": "pass" }, { "id": "operation-a-v-watt-schema-valid", "status": "pass" }, { "id": "operation-v-a-watt-schema-valid", "status": "pass" }, { "id": "operation-dc-omits-pf", "status": "pass" }, { "id": "operation-dc-rejects-power-factor", "status": "pass" }, { "id": "operation-requires-mode", "status": "pass" }, { "id": "operation-ac-requires-power-factor", "status": "pass" }, { "id": "operation-a-v-ohm-unit-V", "status": "pass", "detail": "V" }, { "id": "operation-a-v-watt-unit-V", "status": "pass", "detail": "V" }, { "id": "operation-v-a-ohm-unit-A", "status": "pass", "detail": "A" }, { "id": "operation-v-a-watt-unit-A", "status": "pass", "detail": "A" }, { "id": "output-mode-unit-binding", "status": "pass" }, { "id": "operation-result-matches-detail", "status": "pass" }, { "id": "operation-formula-matches-system", "status": "pass" }, { "id": "versioned-schema-pin", "status": "pass" }, { "id": "versioned-schema-id", "status": "pass", "detail": "https://www.calculatorx.com/schemas/electrical.amps_to_volts/1.4.2/input.json" }, { "id": "jsonld-valid-json", "status": "pass" }, { "id": "jsonld-type-webapplication", "status": "pass" }, { "id": "jsonld-name-match", "status": "pass" }, { "id": "jsonld-canonical-url", "status": "pass" }, { "id": "jsonld-software-version-match", "status": "pass" }, { "id": "jsonld-system-semantics", "status": "pass" }, { "id": "jsonld-offer-free-match", "status": "pass" }, { "id": "jsonld-breadcrumb-match", "status": "pass" }, { "id": "jsonld-visible-content-match", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kva_to_amps", "tool_id": "kva-to-amps", "engine": "kva-amps", "title": "kVA to amps", "summary": "Convert apparent power in kVA to line current for single- or three-phase systems. (calculation_version 1.4.1)", "page": "https://www.calculatorx.com/calc/electric/kva-to-amps", "api": "https://www.calculatorx.com/api/v1/calc/kva-to-amps", "calculation_version": "1.4.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kva_to_amps.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kva_to_amps/1.4.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kva_to_amps/1.4.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_amps/1.4.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kva_to_amps/1.4.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kva_to_amps", "verification": { "tests": { "passed": 14, "total": 14, "golden": 8, "boundary": 5, "property": 1 }, "contract_checks": { "passed": 4, "total": 4 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 4, "passed": 4, "failed": 0 } }, "limitations": [ "Not for unbalanced three-phase", "Not for line-to-neutral as a separate UI mode", "No power factor on apparent path", "V>0 hard — VOLTAGE_MUST_BE_POSITIVE" ], "methods": [], "operations": [ "kva-a", "a-kva" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.1", "artifacts": { "engine": "1.4.1", "page": "1.4.1", "capability": "1.4.1", "evidence": "1.4.1", "input_schema": "1.4.1", "output_schema": "1.4.1", "mcp_contract": "1.4.1" }, "digests": { "input_schema_sha256": "8d77bc785fbe8ad52bc89259ecbc05c2beda9b823bfb6f3452eaf7a177a111c4", "output_schema_sha256": "34a2ea313a05a759531f6111191ff8ae85d61b2421568ae2258296c8f47512ba", "evidence_sha256": "f816b6f271df0562606fd92788ca14b8e11968d16c830b660c4ea317b8b38441", "evidence_core_sha256": "f816b6f271df0562606fd92788ca14b8e11968d16c830b660c4ea317b8b38441", "capability_sha256": "666c533236f906bc112852481d64f3f472369760fb6ee0f442cdd9ecbc12ca16", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 4, "passed": 4, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.va_to_kva", "tool_id": "va-to-kva", "engine": "scale", "title": "VA to kVA", "summary": "Scale volt-amperes to kilovolt-amperes (÷1000) or reverse (×1000). (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/va-to-kva", "api": "https://www.calculatorx.com/api/v1/calc/va-to-kva", "calculation_version": "1.3.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.va_to_kva.input.json", "output": "https://www.calculatorx.com/schemas/electrical.va_to_kva.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.va_to_kva/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.va_to_kva/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.va_to_kva/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.va_to_kva/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.va_to_kva", "verification": { "tests": { "passed": 15, "total": 15, "golden": 9, "boundary": 2, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not a watts/kW conversion — power factor is not used", "Physical use assumes non-negative apparent power" ], "methods": [], "operations": [ "va-kva", "kva-va" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "c4b09156fc5adbf37a96f7327c4a7ba5c61c66d6f7cfcbf81ea6f4d122eb1141", "output_schema_sha256": "3c4486fcc884dd9d86023cab517609a99601c70ea59adb4a522ef466cbae1548", "evidence_sha256": "6ef0cf7709c86e83b9887d3b1600f7b218b9afc30c432919a8acc2ff53ab57b4", "evidence_core_sha256": "6ef0cf7709c86e83b9887d3b1600f7b218b9afc30c432919a8acc2ff53ab57b4", "capability_sha256": "8f1d9622aab44bd7b2c60c8b8cf76661db8983b13fe8098df1fe16c69c7cce43", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kva_to_kw", "tool_id": "kva-to-kw", "engine": "kva-kw", "title": "kVA to kW", "summary": "Convert apparent power to real power using power factor: kW = kVA × PF. (calculation_version 1.4.1)", "page": "https://www.calculatorx.com/calc/electric/kva-to-kw", "api": "https://www.calculatorx.com/api/v1/calc/kva-to-kw", "calculation_version": "1.4.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kva_to_kw.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kva_to_kw/1.4.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kva_to_kw/1.4.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kva_to_kw/1.4.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kva_to_kw/1.4.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kva_to_kw", "verification": { "tests": { "passed": 14, "total": 14, "golden": 7, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 4, "total": 4 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 4, "passed": 4, "failed": 0 } }, "limitations": [ "PF ∈ (0,1] hard", "No voltage/phase required" ], "methods": [], "operations": [ "kva-kw", "kw-kva" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.1", "artifacts": { "engine": "1.4.1", "page": "1.4.1", "capability": "1.4.1", "evidence": "1.4.1", "input_schema": "1.4.1", "output_schema": "1.4.1", "mcp_contract": "1.4.1" }, "digests": { "input_schema_sha256": "c543a92bf4e2fbc8d5bd563b71251aed29823ed93b26fe1c1427cfeae56cea92", "output_schema_sha256": "9919c77307a02ce1ce73fabc6190eacee2bb290c8bfe28b187406f53cc7750f8", "evidence_sha256": "ab72594408e9aeed4281a51bcb246d3349cf3479ff0075ac2c0f7f75022474f3", "evidence_core_sha256": "ab72594408e9aeed4281a51bcb246d3349cf3479ff0075ac2c0f7f75022474f3", "capability_sha256": "c862f5a4edb4bd83204194fe27b9800c70bb157baa979c1cadd831bad80429c4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 4, "passed": 4, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.4.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kw_to_va", "tool_id": "kw-to-va", "engine": "kw-va", "title": "kW to VA", "summary": "Estimate apparent power in VA from real power and power factor. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/kw-to-va", "api": "https://www.calculatorx.com/api/v1/calc/kw-to-va", "calculation_version": "1.3.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kw_to_va.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kw_to_va.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kw_to_va/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kw_to_va/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kw_to_va/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kw_to_va/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kw_to_va", "verification": { "tests": { "passed": 14, "total": 14, "golden": 7, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 4, "total": 4 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 4, "passed": 4, "failed": 0 } }, "limitations": [ "PF ∈ (0,1] hard", "Built-in kW↔VA scale ×1000" ], "methods": [], "operations": [ "kw-va", "va-kw" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "134a5597d6cd10eecd1dc00ed0790bb87e6851af2e415303d907a73e7dcef857", "output_schema_sha256": "2a177fd7dffe1815a8bbe0cf7277330f4cdb44a1a5864a58e003d7431d746a9f", "evidence_sha256": "aba1fe8bdf6ffd88a9216fc095eff31c5429b07808a5827113bd88581a8ad2fb", "evidence_core_sha256": "aba1fe8bdf6ffd88a9216fc095eff31c5429b07808a5827113bd88581a8ad2fb", "capability_sha256": "680493372c460ee3e42c191037a607333231f94eb36294133c206cfa43cf636d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 4, "passed": 4, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watts_to_va", "tool_id": "watts-to-va", "engine": "watts-va", "title": "Watts to VA", "summary": "Convert real power (W) and apparent power (VA) using power factor — PF required (electrical.active_power_from_apparent_power / apparent_from_P_pf). (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/watts-to-va", "api": "https://www.calculatorx.com/api/v1/calc/watts-to-va", "calculation_version": "1.3.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watts_to_va.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watts_to_va.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_va/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_va/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_va/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_to_va/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_to_va", "verification": { "tests": { "passed": 16, "total": 16, "golden": 9, "boundary": 2, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not for voltage/current→VA (use amps-to-va)", "PF must be in (0, 1] — PF=0 → POWER_FACTOR_OUT_OF_RANGE (not a soft zero)", "Roadmap model op: real_from_S_pf / apparent_from_P_pf" ], "methods": [], "operations": [ "w-va", "va-w" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "7b6c952cbb6fc0459a203690db986cfdc7c776a850c8892addf86e30f1adcdb6", "output_schema_sha256": "9f90e949875b4de22527a32e88ea7a9bef5d533c1a2aa6bc4c406a0d08fa0089", "evidence_sha256": "25237ad029fbda9f2e882ef8d0774fa4e7cb491e016af372482a24cecf9d62d3", "evidence_core_sha256": "25237ad029fbda9f2e882ef8d0774fa4e7cb491e016af372482a24cecf9d62d3", "capability_sha256": "814efb13bfcbc89cd89eabe97711035867ad8f2bd6b96fafec9f24df61d7e09d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watts_to_kva", "tool_id": "watts-to-kva", "engine": "scale-quotient", "title": "Watts to kVA", "summary": "Convert real power in watts to apparent power in kVA using power factor: kVA = W ÷ (1000 × PF). Same PF rule as Watts to VA, scaled to kilovolt-amperes. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/watts-to-kva", "api": "https://www.calculatorx.com/api/v1/calc/watts-to-kva", "calculation_version": "1.3.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watts_to_kva.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_kva/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_kva/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_kva/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_to_kva/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_to_kva", "verification": { "tests": { "passed": 11, "total": 11, "golden": 11, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 11, "passed": 11 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "PF ∈ (0,1] hard", "No voltage/phase required", "Shares the scale-quotient helper with kWh→W; contracts are distinct (PF vs time)" ], "methods": [], "operations": [ "w-kva", "kva-w" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "c5c4cd498c7801cf23ae00b091e1c7b0d4621f02d00abb306e08d8cdd287e39a", "output_schema_sha256": "3e4e1d7c02b0977888f8662c53faec045f16f67ddf9d0c50840942af558a9e26", "evidence_sha256": "ce18f8eccc7876a9d9e0c51d51fb06f17537a5233262e971366cf47125f9b211", "evidence_core_sha256": "ce18f8eccc7876a9d9e0c51d51fb06f17537a5233262e971366cf47125f9b211", "capability_sha256": "1be23f34fc9a61739aee204ec7c145cba3d298899c1c54495fbff8dd39c29780", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kwh_to_watts", "tool_id": "kwh-to-watts", "engine": "scale-quotient", "title": "kWh to Watts", "summary": "Convert energy in kWh and a time period into average power in watts: W = 1000 × kWh ÷ h. Reverse: kWh = W × h ÷ 1000. (calculation_version 1.2.1)", "page": "https://www.calculatorx.com/calc/electric/kwh-to-watts", "api": "https://www.calculatorx.com/api/v1/calc/kwh-to-watts", "calculation_version": "1.2.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts/1.2.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kwh_to_watts/1.2.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kwh_to_watts/1.2.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kwh_to_watts/1.2.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kwh_to_watts", "verification": { "tests": { "passed": 12, "total": 12, "golden": 12, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Average power over the interval — not instantaneous peak", "Time must be in hours", "Shares the scale-quotient helper with W→kVA; contracts are distinct (time vs PF)" ], "methods": [], "operations": [ "kwh-w", "w-kwh" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.1", "artifacts": { "engine": "1.2.1", "page": "1.2.1", "capability": "1.2.1", "evidence": "1.2.1", "input_schema": "1.2.1", "output_schema": "1.2.1", "mcp_contract": "1.2.1" }, "digests": { "input_schema_sha256": "36e03de4cc6a5f64bdde21771eed9c9ef1588b32cd0bf841ea44730e408d23cb", "output_schema_sha256": "ebe8b63eb3d9e96be3160fd6e10cb21f9aca1d8ca48e6fefe6f1a2c5f3f91e75", "evidence_sha256": "aaf75cc224c92fff35b11be5891d10ca0049e897c2c81af1070e8fabdef864ac", "evidence_core_sha256": "aaf75cc224c92fff35b11be5891d10ca0049e897c2c81af1070e8fabdef864ac", "capability_sha256": "45ccb2ec49efd7f0fbbed3cb2099209e7db01f4fce426e72754484aacc44e0f8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kwh_to_kw", "tool_id": "kwh-to-kw", "engine": "kwh-to-kw", "title": "kWh to kW", "summary": "Convert energy in kWh and a time period into average power in kilowatts: kW = kWh ÷ h. Reverse: kWh = kW × h. (calculation_version 1.2.1)", "page": "https://www.calculatorx.com/calc/electric/kwh-to-kw", "api": "https://www.calculatorx.com/api/v1/calc/kwh-to-kw", "calculation_version": "1.2.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw/1.2.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kwh_to_kw/1.2.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kwh_to_kw/1.2.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kwh_to_kw/1.2.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kwh_to_kw", "verification": { "tests": { "passed": 12, "total": 12, "golden": 12, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Average power over the interval — not instantaneous peak", "Time must be in hours" ], "methods": [], "operations": [ "kwh-kw", "kw-kwh" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.1", "artifacts": { "engine": "1.2.1", "page": "1.2.1", "capability": "1.2.1", "evidence": "1.2.1", "input_schema": "1.2.1", "output_schema": "1.2.1", "mcp_contract": "1.2.1" }, "digests": { "input_schema_sha256": "15e94bdaeb369eb16884b7f23b5426fcda9615d3442831a89762b371f15a39ea", "output_schema_sha256": "36d2af1e3c274cf69da1c84268972a401f587d80e51258da41112048624e1531", "evidence_sha256": "cec228d393d6f92ce800f3f88472055d627dc36cbded1440573d5a7785d3c153", "evidence_core_sha256": "cec228d393d6f92ce800f3f88472055d627dc36cbded1440573d5a7785d3c153", "capability_sha256": "3ee15b82c7de7efab9297511dfd05405f1e1661ad44168cdaee0bb37b5c1af12", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watts_to_volts", "tool_id": "watts-to-volts", "engine": "watts-to-volts", "title": "Watts to Volts", "summary": "Find voltage from power and current, or from power and resistance. Reverse: watts from volts and current. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/watts-to-volts", "api": "https://www.calculatorx.com/api/v1/calc/watts-to-volts", "calculation_version": "1.3.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watts_to_volts.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watts_to_volts.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_volts/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_volts/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_volts/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_to_volts/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_to_volts", "verification": { "tests": { "passed": 13, "total": 13, "golden": 13, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 4, "total": 4 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 13, "passed": 13 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 4, "passed": 4, "failed": 0 } }, "limitations": [ "RMS quantities for AC", "Balanced three-phase when phase is three", "Ohms path is resistive magnitude, V = √(P·R)" ], "methods": [], "operations": [ "w-v-a", "w-v-r", "v-w" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "99ac5e80af45491165a11fc9e03cbf553b639dee45bc84ec7b63327a26602f8b", "output_schema_sha256": "6f0594702054be60fbdf476ae690caebfa74cac4dba5822b2533109281c7f4a5", "evidence_sha256": "f042154d5527caf359b077d9ba408548cd4687f6628b4bace342e2903e615a96", "evidence_core_sha256": "f042154d5527caf359b077d9ba408548cd4687f6628b4bace342e2903e615a96", "capability_sha256": "bfc08678ce69aea18eb18a1500107da0a3c4954719d2a96368701a9fba1e5ed9", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 4, "passed": 4, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.volts_to_joules", "tool_id": "volts-to-joules", "engine": "product", "title": "Volts to Joules", "summary": "Relate voltage and charge to energy: E = V × Q (1 V = 1 J/C). Reverse: V = E ÷ Q. (calculation_version 1.2.0)", "page": "https://www.calculatorx.com/calc/electric/volts-to-joules", "api": "https://www.calculatorx.com/api/v1/calc/volts-to-joules", "calculation_version": "1.2.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.input.json", "output": "https://www.calculatorx.com/schemas/electrical.volts_to_joules.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.volts_to_joules/1.2.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.volts_to_joules/1.2.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.volts_to_joules/1.2.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.volts_to_joules/1.2.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.volts_to_joules", "verification": { "tests": { "passed": 12, "total": 12, "golden": 12, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Cannot convert volts to joules without a charge (or equivalent)", "Shares the product helper with W→J; contracts are distinct (Q vs t)" ], "methods": [], "operations": [ "v-j", "j-v" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.0", "artifacts": { "engine": "1.2.0", "page": "1.2.0", "capability": "1.2.0", "evidence": "1.2.0", "input_schema": "1.2.0", "output_schema": "1.2.0", "mcp_contract": "1.2.0" }, "digests": { "input_schema_sha256": "0f0b3f5dddab328203bf44120bd3ba0659f61d56e9915d36d8e31100d2986b34", "output_schema_sha256": "a186863406b9c7290c635c276a3b34612abc70cb54a82c0a62308d9c67c80d4d", "evidence_sha256": "34442f796f02717b2e41b4b6879d1cdcc77ed0c71d9279f30bd995bffcd3f2f5", "evidence_core_sha256": "34442f796f02717b2e41b4b6879d1cdcc77ed0c71d9279f30bd995bffcd3f2f5", "capability_sha256": "55bc464ad1b11a8add6eecd3b9ce88e91c8c086c72583cd5c3d2dc7e342931c0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.watts_to_joules", "tool_id": "watts-to-joules", "engine": "product", "title": "Watts to Joules", "summary": "Convert power and time to energy: E(J) = P(W) × t(s). Reverse: P = E ÷ t. 1 W = 1 J/s. (calculation_version 1.2.1)", "page": "https://www.calculatorx.com/calc/electric/watts-to-joules", "api": "https://www.calculatorx.com/api/v1/calc/watts-to-joules", "calculation_version": "1.2.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.input.json", "output": "https://www.calculatorx.com/schemas/electrical.watts_to_joules.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_joules/1.2.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.watts_to_joules/1.2.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.watts_to_joules/1.2.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.watts_to_joules/1.2.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.watts_to_joules", "verification": { "tests": { "passed": 12, "total": 12, "golden": 12, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Cannot convert watts to joules without a duration", "Shares the product helper with V→J; contracts are distinct (t vs Q)" ], "methods": [], "operations": [ "w-j", "j-w" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.1", "artifacts": { "engine": "1.2.1", "page": "1.2.1", "capability": "1.2.1", "evidence": "1.2.1", "input_schema": "1.2.1", "output_schema": "1.2.1", "mcp_contract": "1.2.1" }, "digests": { "input_schema_sha256": "da3d1b267a74f132e3257403f322dc1bb601395a234ecd1fef9d7536f9f91843", "output_schema_sha256": "72d67f9137352c1ceafea373b07c571e8e34cdede5a47e2c582c589dbb506844", "evidence_sha256": "505b0b12ec93d841459fc2ba70e3a2c15aa5126dcea13a30b69de50f6e5f9eef", "evidence_core_sha256": "505b0b12ec93d841459fc2ba70e3a2c15aa5126dcea13a30b69de50f6e5f9eef", "capability_sha256": "589da383443f00450c3d02a31cd286a71c4e105ea43ec49c98e869d37243fff2", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.volts_to_kw", "tool_id": "volts-to-kw", "engine": "volts-kw", "title": "Volts to kW", "summary": "Estimate real power from voltage, current, phase, and power factor. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/volts-to-kw", "api": "https://www.calculatorx.com/api/v1/calc/volts-to-kw", "calculation_version": "1.3.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.volts_to_kw.input.json", "output": "https://www.calculatorx.com/schemas/electrical.volts_to_kw.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.volts_to_kw/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.volts_to_kw/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.volts_to_kw/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.volts_to_kw/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.volts_to_kw", "verification": { "tests": { "passed": 12, "total": 12, "golden": 7, "boundary": 4, "property": 1 }, "contract_checks": { "passed": 4, "total": 4 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 4, "passed": 4, "failed": 0 } }, "limitations": [ "PF ∈ (0,1] hard — FRACTION_OUT_OF_RANGE", "V>0 on forward; I>0 on reverse" ], "methods": [], "operations": [ "v-kw", "kw-v" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "44ca986561a6fb76f5701ef94ea3a32828c0dd2994593dc11f8b16c874e7ceb0", "output_schema_sha256": "2c8d5f92df8897df800d37d497e7cfe8676f093915530fa415205777ca40c2a3", "evidence_sha256": "6f5e6515a19098ae05555df084e63dc39b6c02c7deb4b6034ebdccf51ee0928e", "evidence_core_sha256": "6f5e6515a19098ae05555df084e63dc39b6c02c7deb4b6034ebdccf51ee0928e", "capability_sha256": "eece02672c51e011b1438908ac8ca09069906902285f1ecd50dd35f48a35b1dc", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 4, "passed": 4, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.awg_to_mm", "tool_id": "awg-to-mm", "engine": "awg", "title": "AWG to mm / mm²", "summary": "Look up American Wire Gauge geometry: unrounded ASTM B258 geometric progression (primary) plus Table 1 SI standard nominals for integer 4/0–56; copper resistance at 20 °C; educational NFPA 70–style ampacity reference (edition not pinned). Accepts 12, 1/0, 4/0, or legacy −3…0. (calculation_version 1.5.0)", "page": "https://www.calculatorx.com/calc/wire/awg-to-mm", "page_aliases": [ { "tool_id": "wire-gauge-chart", "page": "https://www.calculatorx.com/calc/wire/wire-gauge-chart", "api": "https://www.calculatorx.com/api/v1/calc/wire-gauge-chart" } ], "api": "https://www.calculatorx.com/api/v1/calc/awg-to-mm", "calculation_version": "1.5.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.input.json", "output": "https://www.calculatorx.com/schemas/electrical.awg_to_mm.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.awg_to_mm/1.5.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.awg_to_mm/1.5.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.awg_to_mm/1.5.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.awg_to_mm/1.5.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.awg_to_mm", "verification": { "tests": { "passed": 46, "total": 46, "golden": 13, "boundary": 6, "property": 27 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 46, "passed": 46, "failed": 0, "golden": { "total": 13, "passed": 13 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 27, "passed": 27 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Solid round conductor geometric model (ASTM B258-18(2026); 2026 reapproval of B258-18)", "Primary geometry is unrounded geometric progression (formula_derived); ASTM Table 1 SI nominals are a separate standard_nominal track for integer 4/0–56", "Not stranded equivalent area or insulated OD", "Copper Ω/km is a 20 °C material model, not AWG geometry", "Ampacity is an educational NFPA 70–style thermal reference (table-like 310.16, edition not pinned); copper 14–4/0 include 60/75/90 °C; 16 AWG and finer not tabulated; not jurisdiction-usable and not a branch-circuit rating", "CVP numeric goldens cover AWG diameter/area geometry; resistance is a 20 °C IACS material model; ampacity is dataset-integrity only, not NEC compliance", "Integer 4/0 (−3) through 56 = standard_range + formula_derived (+ standard_nominal); non-integer n in that span → AWG_NONSTANDARD_GAUGE + formula_interpolation; n outside the span → AWG_OUTSIDE_STANDARD_RANGE + formula_extrapolation", "Missing/empty awg → MISSING_REQUIRED_INPUT (empty is not AWG 0 / 1/0)", "Unparseable awg → INVALID_NUMBER; field not mm|mm2 → INVALID_MODE" ], "methods": [], "operations": [ "mm", "mm2" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.5.0", "artifacts": { "engine": "1.5.0", "page": "1.5.0", "capability": "1.5.0", "evidence": "1.5.0", "input_schema": "1.5.0", "output_schema": "1.5.0", "mcp_contract": "1.5.0" }, "digests": { "input_schema_sha256": "871fc2ccfe8d3ea3aa8bbd7c74d37445f684f6926de3b69c4be5c80e5034648c", "output_schema_sha256": "602cbe63d52662bc4b179c09784aa891368df1ab86d1592620fdd16166f94682", "evidence_sha256": "90158d106fe39ab27ebe526550502d7d8dc24da04ce4d539fdadf21e937d7e57", "evidence_core_sha256": "90158d106fe39ab27ebe526550502d7d8dc24da04ce4d539fdadf21e937d7e57", "capability_sha256": "d744f931c28d03e04e50138bfe75c4422d15534ed4e6248c2ac65b58f0fbc72d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.5.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.swg_to_mm", "tool_id": "swg-to-mm", "engine": "swg", "title": "SWG to mm / mm²", "summary": "Convert Standard Wire Gauge to diameter (mm) or cross-section (mm²). (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/wire/swg-to-mm", "api": "https://www.calculatorx.com/api/v1/calc/swg-to-mm", "calculation_version": "1.3.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.input.json", "output": "https://www.calculatorx.com/schemas/electrical.swg_to_mm.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.swg_to_mm/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.swg_to_mm/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.swg_to_mm/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.swg_to_mm/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.swg_to_mm", "verification": { "tests": { "passed": 76, "total": 76, "golden": 63, "boundary": 8, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 76, "passed": 76, "failed": 0, "golden": { "total": 63, "passed": 63 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Lookup table only for integer SWG 7/0 (−6) through 50", "Out-of-range → SWG_OUT_OF_RANGE (not 0 mm)", "Non-integer → SWG_NOT_INTEGER (not Math.round)", "Canonical diameter is inch; mm = inch × 25.4 (exact); area uses that mm", "SWG ≠ AWG; same number different diameter" ], "methods": [], "operations": [ "mm", "mm2" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "86262535bd5cf3d7af1106f20ae6d1ee4c4e3e4b01dc827e8f6a5b202b8e5b7c", "output_schema_sha256": "e6a848b5ea8b44c3868034828fca95d72270e291ca16e3e92bdfb8284f7b808a", "evidence_sha256": "cdc4fc9604a4cc13d242a602b85583f643612436a3d04bf3ac3a19469c55edc7", "evidence_core_sha256": "cdc4fc9604a4cc13d242a602b85583f643612436a3d04bf3ac3a19469c55edc7", "capability_sha256": "0411ff98316a0f671e29dfd4669c5c3713e430ce74abe94a377f9c6d694fe219", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mah_to_wh", "tool_id": "mah-to-wh", "engine": "mah-to-wh", "title": "mAh to Wh", "summary": "Convert battery capacity in milliamp-hours and voltage to watt-hours. (calculation_version 1.3.1)", "page": "https://www.calculatorx.com/calc/electric/mah-to-wh", "api": "https://www.calculatorx.com/api/v1/calc/mah-to-wh", "calculation_version": "1.3.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.input.json", "output": "https://www.calculatorx.com/schemas/electrical.mah_to_wh.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.mah_to_wh/1.3.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.mah_to_wh/1.3.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.mah_to_wh/1.3.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.mah_to_wh/1.3.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.mah_to_wh", "verification": { "tests": { "passed": 13, "total": 13, "golden": 8, "boundary": 2, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ignores charge/discharge efficiency and Peukert effects", "V ≤ 0 → VOLTAGE_MUST_BE_POSITIVE" ], "methods": [], "operations": [ "mah-wh", "wh-mah" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.1", "artifacts": { "engine": "1.3.1", "page": "1.3.1", "capability": "1.3.1", "evidence": "1.3.1", "input_schema": "1.3.1", "output_schema": "1.3.1", "mcp_contract": "1.3.1" }, "digests": { "input_schema_sha256": "e84d3e6f3dcd836b717ffad12fadd65f6ca418d209a761c0b816b4e10e2c3dcb", "output_schema_sha256": "4fb56170345c6b278e5fa8d5d607babc3477f3d6beb2ac6f4d423314342b1d9e", "evidence_sha256": "d43f90e1cd78adc617cc98a38a29c0bb8363a7ef8b10143ab979776c673e427b", "evidence_core_sha256": "d43f90e1cd78adc617cc98a38a29c0bb8363a7ef8b10143ab979776c673e427b", "capability_sha256": "39a640b20f43c4271ae6dbe6afac351025a011c3abc5354cdf26561f512a81d6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.battery_runtime", "tool_id": "battery-runtime", "engine": "battery-runtime", "title": "Battery runtime", "summary": "Estimate constant-load battery runtime from capacity, voltage, load (W load-side or A battery-side), DoD, and load-side efficiency (watts mode); optional u_* compose expanded uncertainty on t_h via Uncertainty Engine. (calculation_version 1.2.1)", "page": "https://www.calculatorx.com/calc/electric/battery-runtime", "api": "https://www.calculatorx.com/api/v1/calc/battery-runtime", "calculation_version": "1.2.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-12", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.battery_runtime.input.json", "output": "https://www.calculatorx.com/schemas/electrical.battery_runtime.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.battery_runtime/1.2.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.battery_runtime/1.2.1/output.json", "by_operation": { "watts": "https://www.calculatorx.com/schemas/electrical.battery_runtime/watts.input.json", "amps": "https://www.calculatorx.com/schemas/electrical.battery_runtime/amps.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.battery_runtime/1.2.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.battery_runtime/1.2.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.battery_runtime", "verification": { "tests": { "passed": 25, "total": 25, "golden": 5, "boundary": 10, "property": 10 }, "contract_checks": { "passed": 8, "total": 8 } }, "evidence_tests": { "total": 25, "passed": 25, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 10, "passed": 10 }, "contract": { "total": 8, "passed": 8, "failed": 0 } }, "limitations": [ "Constant-load idealization only — not Peukert, temperature, or BMS cutoffs", "Not a substitute for manufacturer runtime curves or pack design", "Amps mode = battery-side discharge current; η does not enter runtime", "capacity_Ah XOR capacity_mAh; both → INVALID_INPUT", "Missing capacity → MISSING_REQUIRED_INPUT; P_W/I_A ≤ 0 → LOAD_MUST_BE_POSITIVE", "dod/eta outside (0,1] → FRACTION_OUT_OF_RANGE", "mode=watts requires P_W; mode=amps requires I_A", "Optional u_* use GUM sensitivity only (no MC/ρ/νeff UI); empty u_* preserves nominal-only result", "Response inputs[] is mode-canonical (capacity_Ah only; amps omits eta)", "Basic frozen at calculation_version 1.2.1 — Agent schema requires u_* when uncertainty_k/confidence is set; do not stack Peukert/temperature/duty-cycle into this capability" ], "methods": [], "operations": [ "watts", "amps" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.1", "artifacts": { "engine": "1.2.1", "page": "1.2.1", "capability": "1.2.1", "evidence": "1.2.1", "input_schema": "1.2.1", "output_schema": "1.2.1", "mcp_contract": "1.2.1" }, "digests": { "input_schema_sha256": "5673a4cc4dd654ce3bdd613dc2174cd5d5591604a43e73681c464862ffec5733", "output_schema_sha256": "86500ba515b67ff0044fb2eb13ae1eee5034f456be67655a1d650620b5010ee0", "evidence_sha256": "3f35f6d44c54e1bfeb063ebf4a97c36b436800eac848c602b59a469a58ff9e5e", "evidence_core_sha256": "3f35f6d44c54e1bfeb063ebf4a97c36b436800eac848c602b59a469a58ff9e5e", "capability_sha256": "215d4f020e167e56fb6c098a1203553bb3ec70c60c608b08ee42db1bf2b1f556", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 8, "passed": 8, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "schema-coverage-requires-u", "status": "pass" }, { "id": "schema-rejects-boundary-unc-k-without-u", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rc_time_constant", "tool_id": "rc-time-constant", "engine": "rc-time-constant", "title": "RC time constant", "summary": "Solve series RC time constant τ = R·C from any two of R, C, tau; also returns −3 dB frequency and common timing multiples. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/rc-time-constant", "api": "https://www.calculatorx.com/api/v1/calc/rc-time-constant", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rc_time_constant.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rc_time_constant/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rc_time_constant/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rc_time_constant/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rc_time_constant/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rc_time_constant", "verification": { "tests": { "passed": 16, "total": 16, "golden": 3, "boundary": 6, "property": 7 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Series first-order RC only — not parallel networks or distributed RC", "f_c is the ideal LPF −3 dB corner; not a filter design tool", "Fewer than two inputs → NEEDS_TWO_INPUTS; non-positive → VALUE_MUST_BE_POSITIVE", "When R and C are both provided, tau is recomputed from R·C" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "8a19eb36a0c3b41066244d15a89316bfa9dfabf56fcf73af20fcf0f65e039d54", "output_schema_sha256": "30ce3b2538ef51fc1e36f697a136c9298d78e3d0fcca4fd8dc96ceae6705b3c3", "evidence_sha256": "85122205ddb168a44703f292b2433510683b9f269a553434f72826f60025ffe4", "evidence_core_sha256": "85122205ddb168a44703f292b2433510683b9f269a553434f72826f60025ffe4", "capability_sha256": "1a7175c1fd2e24c8117cd35ae922a0b723c5667b297c55c8003669c3c4cac77d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rlc_resonance", "tool_id": "rlc-resonance", "engine": "rlc-resonance", "title": "RLC resonance", "summary": "Compute ideal series or parallel RLC resonant frequency, Q, bandwidth, and reactance at resonance from L, C, and R. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/rlc-resonance", "api": "https://www.calculatorx.com/api/v1/calc/rlc-resonance", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rlc_resonance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rlc_resonance/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rlc_resonance/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rlc_resonance/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rlc_resonance/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rlc_resonance", "verification": { "tests": { "passed": 14, "total": 14, "golden": 2, "boundary": 5, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ideal lumped RLC only — not coupled coils, transmission lines, or crystal models", "Parallel mode assumes ideal parallel R with L and C (no ESR/ESL)", "Missing/non-positive L/C/R → MISSING_REQUIRED_INPUT / VALUE_MUST_BE_POSITIVE", "Unknown mode → INVALID_MODE" ], "methods": [], "operations": [ "series", "parallel" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "af0d832636c5bd05d0d7acab828a193972b9fe496492ccc81f7e63b90b26c5b7", "output_schema_sha256": "4f23bb998c98ff258e3e15be0a5aafcd9961449c77a6ef3b7f237ce5ba6bea16", "evidence_sha256": "06044c5b2550eddfc2a9ad1d94890cff4bc52f43c5b71cf8c76c10bb01285adb", "evidence_core_sha256": "06044c5b2550eddfc2a9ad1d94890cff4bc52f43c5b71cf8c76c10bb01285adb", "capability_sha256": "49fbc6df310901f3c0235220478075cf1cccef901bc6153533a2bc86409c1d00", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mosfet.conduction_loss", "tool_id": "mosfet-conduction-loss", "engine": "mosfet-conduction-loss", "title": "MOSFET conduction loss", "summary": "Compute MOSFET conduction loss from I, Rds(on), current_basis (dc / on-interval RMS / full-cycle MOSFET RMS), and optional Rds(Tj) via linear α or datasheet ratio. (calculation_version 1.2.2)", "page": "https://www.calculatorx.com/calc/electric/mosfet-conduction-loss", "api": "https://www.calculatorx.com/api/v1/calc/mosfet-conduction-loss", "calculation_version": "1.2.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review (EE-001)", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-14", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.input.json", "output": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss/1.2.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.conduction_loss/1.2.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.conduction_loss/1.2.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.mosfet.conduction_loss/1.2.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.mosfet.conduction_loss", "verification": { "tests": { "passed": 32, "total": 32, "golden": 7, "boundary": 13, "property": 8, "formula_crosscheck": 4 }, "contract_checks": { "passed": 14, "total": 14 } }, "evidence_tests": { "total": 32, "passed": 32, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 13, "passed": 13 }, "property": { "total": 8, "passed": 8 }, "formula_crosscheck": { "total": 4, "passed": 4 }, "contract": { "total": 14, "passed": 14, "failed": 0 } }, "limitations": [ "Conduction loss only — not switching, reverse recovery, or gate drive", "Rds(Tj) is optional first-order linear or datasheet-ratio — not a physics compact model", "Default α = 0.006 /°C is a Si MOSFET planning default, not manufacturer validated", "current_basis selects the I definition; mixing full-cycle RMS with D double-counts duty", "V_drop is I·Rds_Tj at the entered current, not a measured VDS(on) waveform point", "Missing/non-positive I/Rds → MISSING_REQUIRED_INPUT / VALUE_MUST_BE_POSITIVE; D outside (0,1] → FRACTION_OUT_OF_RANGE; unknown current_basis or temperature_model → INVALID_MODE" ], "methods": [], "operations": [ "dc", "on_interval_rms", "full_cycle_rms" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.2", "artifacts": { "engine": "1.2.2", "page": "1.2.2", "capability": "1.2.2", "evidence": "1.2.2", "input_schema": "1.2.2", "output_schema": "1.2.2", "mcp_contract": "1.2.2" }, "digests": { "input_schema_sha256": "20a3903576755b30cf90912ba3998e62c6529eeec8bd978f32390c50c5db13e7", "output_schema_sha256": "2f495e23acd9d7e343c9d6a1012542973b61e700ab54442d17409528dab9d7ac", "evidence_sha256": "8970d356587f09ba190c6bd708d020bcdfdf0b23d70b9f470f66c3a308163862", "evidence_core_sha256": "8970d356587f09ba190c6bd708d020bcdfdf0b23d70b9f470f66c3a308163862", "capability_sha256": "8c8e44343efc72fae2d68ca1f85766683ee336709f82cbf8a899fca3d150ae2a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 14, "passed": 14, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.2.2" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.2.2" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.2.2" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.2.2" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.2.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "temperature-linear-schema-requires-Tj_C", "status": "pass" }, { "id": "temperature-ratio-schema-requires-rds_ratio", "status": "pass" }, { "id": "temperature-inference-precedence", "status": "pass", "detail": "Rds(Tj) correction. none (default): use Rds as entered. linear: Rds_Tj=Rds·(1+α·(Tj−Tref)). ratio: Rds_Tj=Rds·rds_ratio. Omitting temperature_model infers ratio" }, { "id": "share-url-roundtrip-ohm-milliohm", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.propagate", "tool_id": "uncertainty-propagate", "engine": "uncertainty-propagate", "title": "Uncertainty propagation", "summary": "Propagate standard uncertainties: GUM linear (binary/sensitivity/RSS/budget) or Monte Carlo (JCGM 101); optional correlations, contributions, νeff, Student-t/percentile coverage → U. 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Runtime still accepts legacy aliases (ua/uncertainty/sensitivity/value) for compatibility." ], "methods": [], "operations": [ "sum", "difference", "product", "quotient", "sensitivity", "rss", "budget", "montecarlo" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.9.8", "artifacts": { "engine": "1.9.8", "page": "1.9.8", "capability": "1.9.8", "evidence": "1.9.8", "input_schema": "1.9.8", "output_schema": "1.9.8", "mcp_contract": "1.9.8" }, "digests": { "input_schema_sha256": "263d0ba0dda3ea81aa635bcd61d0eb9e9e9fc347ab4890b6cc20ccacc3a6843f", "output_schema_sha256": "d1d0c1d06cbe6b38725a8566ba4273291b9558081c5786b8e0b65b862a8e66b1", "evidence_sha256": "036b103a86ee1e5506c2b50e304f262ebc62c8a710c306eb022918c77773aff3", "evidence_core_sha256": "036b103a86ee1e5506c2b50e304f262ebc62c8a710c306eb022918c77773aff3", "capability_sha256": "c99d36a336e8db9868666dfd8c0c09f638c09cd747525229580c2a39903d68a9", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.9.8" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.9.8" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.9.8" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.9.8" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.9.8" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.pcb.trace_width", "tool_id": "pcb-trace-width", "engine": "pcb-trace-width", "title": "PCB trace width", "summary": "Size PCB copper traces or check ampacity with the IPC-2221 I = k·ΔT^0.44·A^0.725 relation for external and internal layers; optional u_* compose expanded uncertainty on width or I via Uncertainty Engine. (calculation_version 1.1.1)", "page": "https://www.calculatorx.com/calc/electric/pcb-trace-width", "api": "https://www.calculatorx.com/api/v1/calc/pcb-trace-width", "calculation_version": "1.1.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-10", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.input.json", "output": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width/1.1.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.trace_width/1.1.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_width/1.1.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.pcb.trace_width/1.1.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.pcb.trace_width", "verification": { "tests": { "passed": 15, "total": 15, "golden": 3, "boundary": 6, "property": 6 }, "contract_checks": { "passed": 8, "total": 8 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 8, "passed": 8, "failed": 0 } }, "limitations": [ "IPC-2221 closed form only — not IPC-2152 chart interpolation", "1 oz/ft² modeled as 1.378 mil thickness", "Bad mode/layer → INVALID_MODE; non-positive → VALUE_MUST_BE_POSITIVE", "Optional u_* use GUM sensitivity on the primary result only; uncertainty_k is coverage (not IPC k)" ], "methods": [], "operations": [ "width", "current" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.1", "artifacts": { "engine": "1.1.1", "page": "1.1.1", "capability": "1.1.1", "evidence": "1.1.1", "input_schema": "1.1.1", "output_schema": "1.1.1", "mcp_contract": "1.1.1" }, "digests": { "input_schema_sha256": "d1e90b3da4e4ecf021381bab0a4c623086bd91906768ffafc94d8d33959bade4", "output_schema_sha256": "bdf90386bd1c257900163ad73f8c237dd5a9b884b32e9f2b95a0342d529a89e3", "evidence_sha256": "37d651ca80602daea81916d6c242ec385ef294e9e43e1d1d1ad836d7679886ab", "evidence_core_sha256": "37d651ca80602daea81916d6c242ec385ef294e9e43e1d1d1ad836d7679886ab", "capability_sha256": "d814bd729334eab6fc10eaa7ee6913292fdd9fa26bdd032ddd63febf78687aae", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 8, "passed": 8, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "schema-coverage-requires-u", "status": "pass" }, { "id": "schema-rejects-boundary-unc-k-without-u", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.lpf", "tool_id": "lpf", "engine": "lpf", "title": "Low-pass filter", "summary": "Solve first-order RC LPF cutoff fc = 1/(2πRC) from any two of R, C, fc; optional magnitude |H(f)| in linear and dB. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/lpf", "api": "https://www.calculatorx.com/api/v1/calc/lpf", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.lpf.input.json", "output": "https://www.calculatorx.com/schemas/electrical.lpf.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.lpf/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.lpf/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.lpf/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.lpf/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.lpf", "verification": { "tests": { "passed": 10, "total": 10, "golden": 3, "boundary": 3, "property": 4 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "First-order passive RC LPF only", "Fewer than two of R/C/fc → NEEDS_TWO_INPUTS", "When R and C both provided, fc is recomputed" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "3ea9dcf4d535ac29b41a21e58a64dbc11f409315913a92db011a8e8d109600e1", "output_schema_sha256": "f5197a7821076ed820bfe25c3093c4d8c1a326cca1b61b661761d67d4b6c570c", "evidence_sha256": "7362ae26c748cc53b11854ac439f86bf9c569eeaeae1edcce3f8e1f9dc1367de", "evidence_core_sha256": "7362ae26c748cc53b11854ac439f86bf9c569eeaeae1edcce3f8e1f9dc1367de", "capability_sha256": "8e63b6ae0fc9ac83ee75939f0a2f134751d98662256872491b48117033da3be0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.fspl", "tool_id": "fspl", "engine": "fspl", "title": "Free-space path loss", "summary": "Compute Friis free-space path loss from distance and frequency, with optional antenna gains Gt/Gr in dBi. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/fspl", "api": "https://www.calculatorx.com/api/v1/calc/fspl", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.fspl.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.fspl.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.fspl/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.fspl/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.fspl/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.fspl/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.fspl", "verification": { "tests": { "passed": 10, "total": 10, "golden": 2, "boundary": 4, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ideal free-space only — no atmosphere, multipath, or cable loss", "d_m/f_Hz ≤ 0 → VALUE_MUST_BE_POSITIVE" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "15a38c2c350af9df0aa158b3922ecbf7bb4ca0c425c2052715ea6b2091759591", "output_schema_sha256": "05956bcab131a871e415bc3b8b424c44a4a6abdc6b6b8841cc85cef1533e09ad", "evidence_sha256": "460e9b19e93cf7e677383ac0d104865f671ac2aa1af2f06ae388e45d4f005929", "evidence_core_sha256": "460e9b19e93cf7e677383ac0d104865f671ac2aa1af2f06ae388e45d4f005929", "capability_sha256": "703adb5fa1f6b9417a91b344176abe8579b50a455f85e84bf13c2e3cb09f533c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mosfet.switching_loss", "tool_id": "mosfet-switching-loss", "engine": "mosfet-switching-loss", "title": "MOSFET switching loss", "summary": "First-order hard-switching overlap loss P_sw = ½·Vds·Id·(tr+tf)·f_sw and optional gate-drive power Qg·Vdrive·f_sw. Not a full MOSFET loss stack. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/mosfet-switching-loss", "api": "https://www.calculatorx.com/api/v1/calc/mosfet-switching-loss", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-16", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.input.json", "output": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.switching_loss/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.switching_loss/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.mosfet.switching_loss/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.mosfet.switching_loss", "verification": { "tests": { "passed": 13, "total": 13, "golden": 2, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 13, "total": 13 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 13, "passed": 13, "failed": 0 } }, "limitations": [ "Hard-switching linear transition only — not soft-switching or Eon/Eoff tables", "Qg and Vdrive must both be present or both omitted (else NEEDS_TWO_INPUTS)", "Conduction loss is a separate capability", "P_gate is gate-drive power — not necessarily dissipated entirely in the MOSFET junction" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "691a1017c9dc2931d1dc3d0dbb6d5b5323d77bedf81a182526d195503eb741b2", "output_schema_sha256": "5fb55f7eccfcd2870897ca921972e8b1212bea9ab915f39863c854ff1812c67e", "evidence_sha256": "3b6318b7ba292de0692c8bce31642b81d422516d9002fee44434b60bd45e0c0f", "evidence_core_sha256": "3b6318b7ba292de0692c8bce31642b81d422516d9002fee44434b60bd45e0c0f", "capability_sha256": "84e25bd05e04e23c99911ff035435c132a0ec7888b744627c869301e3824930c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 13, "passed": 13, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.0.0" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.0.0" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.0.0" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.0.0" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "share-url-roundtrip-si", "status": "pass" }, { "id": "share-url-qg-overlap-heading", "status": "pass" }, { "id": "unit-hydrate-ns-khz-nc", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mosfet.total_loss", "tool_id": "mosfet-total-loss", "engine": "mosfet-total-loss", "title": "MOSFET total loss", "summary": "Compose MOSFET loss workspace: device dissipation (conduction + hard-switching + optional Coss/Eoss) plus optional gate-drive and Qrr commutation, with optional Tj = Ta + P_device·Rth. Omitted optional terms are not treated as 0 W. (calculation_version 1.1.2)", "page": "https://www.calculatorx.com/calc/electric/mosfet-total-loss", "api": "https://www.calculatorx.com/api/v1/calc/mosfet-total-loss", "calculation_version": "1.1.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review (EE-001)", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-19", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.input.json", "output": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss/1.1.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.total_loss/1.1.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.total_loss/1.1.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.mosfet.total_loss/1.1.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.mosfet.total_loss", "verification": { "tests": { "passed": 39, "total": 39, "golden": 7, "boundary": 22, "property": 8, "formula_crosscheck": 2 }, "contract_checks": { "passed": 20, "total": 20 } }, "evidence_tests": { "total": 39, "passed": 39, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 22, "passed": 22 }, "property": { "total": 8, "passed": 8 }, "formula_crosscheck": { "total": 2, "passed": 2 }, "contract": { "total": 20, "passed": 20, "failed": 0 } }, "limitations": [ "First-order hard-switching workspace — not Eon/Eoff tables, Qoss(V) curves, or compact models", "Conduction uses electrical.mosfet.conduction_loss; switching/gate use electrical.mosfet.switching_loss", "Default α = 0.006 /°C is a Si planning default, not manufacturer validated", "P_coss from ½·Coss·V²·f is a lumped equivalent — prefer datasheet Eoss at Vds", "Overlap P_sw plus P_coss may overestimate due to double counting; first-order only — validate against measured Eon/Eoff", "P_rr = Qrr·Vds·f is recovered-charge commutation loss, usually attributed to the complementary switch — not this die", "P_gate is gate-drive power (driver + Rg + Rg,int) — not MOSFET junction dissipation; Tj_est uses P_device only", "Tj_est is steady-state RthJA only — not Zth or CFD", "Numeric 0 on omitted P_gate/P_coss/P_rr means not included (see terms_omitted), not a measured zero", "Optional Qg/Coss/Eoss/Qrr if present must be > 0; explicit 0 is not yet a supported known-zero state", "Qg and Vdrive must both be present or both omitted (else NEEDS_TWO_INPUTS)" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.2", "artifacts": { "engine": "1.1.2", "page": "1.1.2", "capability": "1.1.2", "evidence": "1.1.2", "input_schema": "1.1.2", "output_schema": "1.1.2", "mcp_contract": "1.1.2" }, "digests": { "input_schema_sha256": "cd71e7633305576f0635af201a746a518b735993cc5a997b458ad543f4ed3b05", "output_schema_sha256": "1905f96b840a7a6cc79298022264e09a3c9031a1276ed4686145711363dbfe16", "evidence_sha256": "07f6761361b825720188b33101efc9cf8151f0ad4731ffa064b7e31a90b85fc5", "evidence_core_sha256": "07f6761361b825720188b33101efc9cf8151f0ad4731ffa064b7e31a90b85fc5", "capability_sha256": "8a998f24e14716c5378727093b9aae41bf19a30ae8897a33a04df9094b96348b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 20, "passed": 20, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.1.2" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.1.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "temperature-linear-schema-requires-Tj_C", "status": "pass" }, { "id": "temperature-ratio-schema-requires-rds_ratio", "status": "pass" }, { "id": "share-url-roundtrip-dc", "status": "pass" }, { "id": "share-url-roundtrip-pwm", "status": "pass" }, { "id": "qg-xor-vdrive-rejected", "status": "pass" }, { "id": "schema-rejects-qg-without-vdrive", "status": "pass" }, { "id": "schema-rejects-incomplete-coss-mode", "status": "pass" }, { "id": "device-excludes-gate-qrr", "status": "pass" }, { "id": "omitted-terms-listed", "status": "pass" }, { "id": "eoss-overrides-coss", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.battery.runtime_temp", "tool_id": "battery-runtime-temp", "engine": "battery-runtime-temp", "title": "Battery runtime with temperature", "summary": "Constant-load battery runtime with a generic cold-derating temperature capacity factor about 25 °C (extends Battery Runtime base: watts load-side / amps battery-side). Planning model — not chemistry. (calculation_version 1.2.1)", "page": "https://www.calculatorx.com/calc/electric/battery-runtime-temp", "api": "https://www.calculatorx.com/api/v1/calc/battery-runtime-temp", "calculation_version": "1.2.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-12", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.input.json", "output": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp/1.2.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp/1.2.1/output.json", "by_operation": { "watts": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp/watts.input.json", "amps": "https://www.calculatorx.com/schemas/electrical.battery.runtime_temp/amps.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.battery.runtime_temp/1.2.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.battery.runtime_temp/1.2.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.battery.runtime_temp", "verification": { "tests": { "passed": 31, "total": 31, "golden": 5, "boundary": 10, "property": 16 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 31, "passed": 31, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 16, "passed": 16 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Generic cold-derating planning model by default — not Peukert, Arrhenius, or manufacturer curves", "Default k_T=0.006 is a planning default (parameter_validated=false), not a validated chemistry coefficient", "Clamp is a numerical safeguard, not an operating-temperature envelope", "T≥25 °C under generic_cold_derating does not increase capacity (no high-temp bonus)", "custom_symmetric_linear is advanced opt-in and still a first-order heuristic", "Amps mode = battery-side current; η does not enter runtime", "capacity_Ah XOR capacity_mAh; both → INVALID_INPUT", "k_T < 0 → VALUE_MUST_BE_NON_NEGATIVE", "Intermediate layer toward chemistry/manufacturer profile runtime — not a Battery Simulator" ], "methods": [], "operations": [ "watts", "amps" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.1", "artifacts": { "engine": "1.2.1", "page": "1.2.1", "capability": "1.2.1", "evidence": "1.2.1", "input_schema": "1.2.1", "output_schema": "1.2.1", "mcp_contract": "1.2.1" }, "digests": { "input_schema_sha256": "1f6dc4f1560deb6a6dc6773554e9402f11937cad9a9add1b3ce3bd2b81e77624", "output_schema_sha256": "b86641f8a4c60c84fe3c975df10a72394fe8a16220513508156a50fede69cae6", "evidence_sha256": "2348c4f1a9a3007a111156fbd248179b250d0e91bf61199873dedb0f7d80d911", "evidence_core_sha256": "2348c4f1a9a3007a111156fbd248179b250d0e91bf61199873dedb0f7d80d911", "capability_sha256": "ae57e65f67141a4030abfe30eca9c67932f1dec2ae8277c351d1eac58fb54974", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.parallel_resistor", "tool_id": "parallel-resistor", "engine": "parallel-resistor", "title": "Parallel resistor", "summary": "Equivalent resistance of N≥2 parallel resistors: 1/Req = Σ 1/Ri. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/parallel-resistor", "api": "https://www.calculatorx.com/api/v1/calc/parallel-resistor", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.input.json", "output": "https://www.calculatorx.com/schemas/electrical.parallel_resistor.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.parallel_resistor/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.parallel_resistor/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.parallel_resistor/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.parallel_resistor/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.parallel_resistor", "verification": { "tests": { "passed": 10, "total": 10, "golden": 2, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Parallel only", "N<2 → NEEDS_TWO_INPUTS" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "bacaa7d70b434aaa1c2da1490baf2dfa0e9dda77fc7db415e684f05d50798de5", "output_schema_sha256": "03865f3008fb064fd424aaec85fc0ecd358e6cb007737af98166727424915e25", "evidence_sha256": "f9c2f9c315e27c3109a3b9f966918d14c87685c4a57c8a3323822f740b53054c", "evidence_core_sha256": "f9c2f9c315e27c3109a3b9f966918d14c87685c4a57c8a3323822f740b53054c", "capability_sha256": "f73fb635d94e76122faec6aaf3f25c0278998dd64d006941e4ff999acc390599", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.pcb.microstrip", "tool_id": "pcb-microstrip", "engine": "pcb-microstrip", "title": "Microstrip impedance", "summary": "IPC-2141 / Hammerstad zero-thickness microstrip Z0 or width synthesis. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/pcb-microstrip", "api": "https://www.calculatorx.com/api/v1/calc/pcb-microstrip", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.input.json", "output": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.microstrip/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.microstrip/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.pcb.microstrip/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.pcb.microstrip", "verification": { "tests": { "passed": 8, "total": 8, "golden": 2, "boundary": 3, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Zero thickness; no soldermask", "er≤1 → ER_MUST_BE_GT_1" ], "methods": [], "operations": [ "z0", "width" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c8f5e89b40a159bb8ae10cc9546adf06871634916d84967655d046ed1c738017", "output_schema_sha256": "adc7277017778b89ecd94bee3383302bc7bf9f2922053350d668009ed176b57a", "evidence_sha256": "76bacf99c288b9330ad1ef86ea9cf85574e14ee4d37c69bbf4e9d7eca60235bf", "evidence_core_sha256": "76bacf99c288b9330ad1ef86ea9cf85574e14ee4d37c69bbf4e9d7eca60235bf", "capability_sha256": "4b40c263ec42b9da78e12dc3062c102e6b6717fe01865ecb2de40bd12aef878a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.pcb.via_current", "tool_id": "pcb-via-current", "engine": "pcb-via-current", "title": "Via current capacity", "summary": "IPC-2221 via ampacity from plating cross-section A=πt(d−t). (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/pcb-via-current", "api": "https://www.calculatorx.com/api/v1/calc/pcb-via-current", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.input.json", "output": "https://www.calculatorx.com/schemas/electrical.pcb.via_current.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.via_current/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.via_current/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.via_current/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.pcb.via_current/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.pcb.via_current", "verification": { "tests": { "passed": 7, "total": 7, "golden": 2, "boundary": 2, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "IPC-2221 closed form", "t≥d/2 → PLATING_TOO_THICK" ], "methods": [], "operations": [ "current", "drill" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "a6b70951cddd4e72f68a1b23fe9d088b2d79a0220d309e2d5b9e7aef13e7a607", "output_schema_sha256": "f832e6cd5e52dbbe128c58037a48a2dea4ab27d1c59da5f09da25f2f7f030f45", "evidence_sha256": "c2e41db0d3f8f56afd7c3f5aad3330eb3b21beace0e13a9595759a3ae54e4761", "evidence_core_sha256": "c2e41db0d3f8f56afd7c3f5aad3330eb3b21beace0e13a9595759a3ae54e4761", "capability_sha256": "eadb4a8556f9a695697a03de48eb9d2b402bb7046ae521291ba4b2ad39d2e80a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.link_budget", "tool_id": "rf-link-budget", "engine": "rf-link-budget", "title": "RF link budget", "summary": "Friis FSPL link budget with gains, misc loss, received power, and optional margin; optional u_* compose expanded uncertainty on Pr_dBm via Uncertainty Engine. (calculation_version 1.1.1)", "page": "https://www.calculatorx.com/calc/electric/rf-link-budget", "api": "https://www.calculatorx.com/api/v1/calc/rf-link-budget", "calculation_version": "1.1.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-10", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.link_budget.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.link_budget/1.1.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.link_budget/1.1.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.link_budget/1.1.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.link_budget/1.1.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.link_budget", "verification": { "tests": { "passed": 12, "total": 12, "golden": 2, "boundary": 5, "property": 5 }, "contract_checks": { "passed": 8, "total": 8 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 8, "passed": 8, "failed": 0 } }, "limitations": [ "Ideal free space only", "Extends electrical.rf.fspl", "Optional u_* use GUM sensitivity on Pr only (no MC/ρ/νeff UI); empty u_* preserves 1.0.0 fields" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.1", "artifacts": { "engine": "1.1.1", "page": "1.1.1", "capability": "1.1.1", "evidence": "1.1.1", "input_schema": "1.1.1", "output_schema": "1.1.1", "mcp_contract": "1.1.1" }, "digests": { "input_schema_sha256": "d4f87ff5a30d278b278738952b8cf80685f3f4ee5fa2a3e0f59d51ccf1cccdcc", "output_schema_sha256": "a641d8b98b7cca0f17a0f66b45ece3c39aebf00d149567eea2ad7aa981c2eb34", "evidence_sha256": "ed48d64d2ee560d207de491cf1e8fbe35be18343c37a9c9a99561711fd4e5c42", "evidence_core_sha256": "ed48d64d2ee560d207de491cf1e8fbe35be18343c37a9c9a99561711fd4e5c42", "capability_sha256": "0f855192c1c4d434bc1fc1bd9379f14f79f0b2c24daab3b3f485f725a528fb75", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 8, "passed": 8, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "schema-coverage-requires-u", "status": "pass" }, { "id": "schema-rejects-boundary-unc-k-without-u", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.battery.pack_sizing", "tool_id": "battery-pack-sizing", "engine": "battery-pack-sizing", "title": "Battery pack sizing", "summary": "Invert BatteryRuntimeBaseInput constant-load model to size Ah from runtime/load (watts load-side / amps battery-side); optional nominal Ns/Np packing estimate. (calculation_version 1.2.0)", "page": "https://www.calculatorx.com/calc/electric/battery-pack-sizing", "api": "https://www.calculatorx.com/api/v1/calc/battery-pack-sizing", "calculation_version": "1.2.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-05", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.input.json", "output": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing/1.2.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing/1.2.0/output.json", "by_operation": { "watts": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing/watts.input.json", "amps": "https://www.calculatorx.com/schemas/electrical.battery.pack_sizing/amps.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.battery.pack_sizing/1.2.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.battery.pack_sizing/1.2.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.battery.pack_sizing", "verification": { "tests": { "passed": 27, "total": 27, "golden": 3, "boundary": 17, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 27, "passed": 27, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 17, "passed": 17 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Constant-load inverse of BatteryRuntimeBaseInput / battery_runtime 1.2+", "Amps mode = battery-side current; η does not enter Ah", "Cell Ns/Np use ceil — nominal packing estimate only, not BMS / chemistry pack design", "When V_pack ≠ V_target the result includes warning PACK_VOLTAGE_DIFFERS_FROM_TARGET", "mode=watts requires P_W; mode=amps requires I_A", "V_cell XOR incomplete pair → NEEDS_TWO_INPUTS (both or neither)" ], "methods": [ "derived_from:electrical.battery_runtime@1.2.0 — inverse constant-load watts/amps model" ], "operations": [ "watts", "amps" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.0", "artifacts": { "engine": "1.2.0", "page": "1.2.0", "capability": "1.2.0", "evidence": "1.2.0", "input_schema": "1.2.0", "output_schema": "1.2.0", "mcp_contract": "1.2.0" }, "digests": { "input_schema_sha256": "efbfe6f1c002ef9ba44af12ce224324e0618ece83cfc78c98f4db8b38c5f70f3", "output_schema_sha256": "acb2f259f709c99aca6f4aac55846212b216b63f875beae2644fd0d8aecde756", "evidence_sha256": "a27cacfb99345074574bad3d6579d2a4bdfe1eeb65e7d87a30f66a0e3673342c", "evidence_core_sha256": "a27cacfb99345074574bad3d6579d2a4bdfe1eeb65e7d87a30f66a0e3673342c", "capability_sha256": "d8484f01246f2cd0bbbcc8759b9eead84de916cfa86dc34dd8cd5b8a8a787d43", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.wheatstone", "tool_id": "wheatstone-bridge", "engine": "wheatstone-bridge", "title": "Wheatstone bridge", "summary": "Four-arm Wheatstone bridge Vout and balance from Vin and R1…R4. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/wheatstone-bridge", "api": "https://www.calculatorx.com/api/v1/calc/wheatstone-bridge", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.wheatstone.input.json", "output": "https://www.calculatorx.com/schemas/electrical.wheatstone.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.wheatstone/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.wheatstone/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.wheatstone/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.wheatstone/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.wheatstone", "verification": { "tests": { "passed": 6, "total": 6, "golden": 2, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Unloaded ideal bridge only" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "51d643d5bf63db29ae0569e2da47aec8fab741d62b59ae63d58e4e9d599c9183", "output_schema_sha256": "b7886da7e240b9f203692bcacebd4283501a4b87ce063e40e954f5d6098bcaf5", "evidence_sha256": "3dba4baf32dfd15b1e810128e6d4f63e7e1e0d6cc5408677cee3bfffac9aa5fa", "evidence_core_sha256": "3dba4baf32dfd15b1e810128e6d4f63e7e1e0d6cc5408677cee3bfffac9aa5fa", "capability_sha256": "943519492cd305288bbff18c74c1fba179af61aa360c1ac702b76dbee099b38e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.kirchhoff", "tool_id": "kirchhoff", "engine": "kirchhoff", "title": "Kirchhoff's laws", "summary": "Series KVL loop or parallel KCL node with N resistors. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/kirchhoff", "api": "https://www.calculatorx.com/api/v1/calc/kirchhoff", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.kirchhoff.input.json", "output": "https://www.calculatorx.com/schemas/electrical.kirchhoff.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.kirchhoff/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.kirchhoff/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.kirchhoff/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.kirchhoff/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.kirchhoff", "verification": { "tests": { "passed": 7, "total": 7, "golden": 2, "boundary": 3, "property": 2 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Single loop/node demo only" ], "methods": [], "operations": [ "series", "parallel" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "eb3cd6153708f7d03a4a0f9cd0aea187a59dbd54cf89be94cee121858c468a8a", "output_schema_sha256": "458fc4674a20c7c393ac05662092291bda95b815733c897671eae8ec0e98d5d7", "evidence_sha256": "e463809d0c965532fc547405bd702ee1a9a84774b6ff486e6d0e7ff075250925", "evidence_core_sha256": "e463809d0c965532fc547405bd702ee1a9a84774b6ff486e6d0e7ff075250925", "capability_sha256": "867dc2d6e7f30b211cd3e379a70feffe23547cc84b2c98c045e1b6d5ea264c8f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.led_resistor", "tool_id": "led-resistor", "engine": "led-resistor", "title": "LED resistor", "summary": "Series LED current-limit resistor R=(Vs−n·Vf)/If. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/led-resistor", "api": "https://www.calculatorx.com/api/v1/calc/led-resistor", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.led_resistor.input.json", "output": "https://www.calculatorx.com/schemas/electrical.led_resistor.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.led_resistor/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.led_resistor/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.led_resistor/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.led_resistor/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.led_resistor", "verification": { "tests": { "passed": 7, "total": 7, "golden": 2, "boundary": 3, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Vs ≤ n·Vf → SUPPLY_TOO_LOW" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "48affd725874560e6d754555aa761fe454e1a60bfaae53f033192436713920d7", "output_schema_sha256": "3aa10d5b0c3d531fdbc2950f67df62bc7633c6e5ef395c30f9cce6e85b2df26e", "evidence_sha256": "37c3a594c5133668e01ffb3cbbb217807a32a976a0054e37ced26a39e80fdf7d", "evidence_core_sha256": "37c3a594c5133668e01ffb3cbbb217807a32a976a0054e37ced26a39e80fdf7d", "capability_sha256": "2265d741790b1f9e7f3bcc8e97fec7bdaf8c4b93de72dbfbba1dc987311cb2fc", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mosfet.tj", "tool_id": "mosfet-tj", "engine": "mosfet-tj", "title": "MOSFET junction temperature", "summary": "Steady-state Tj = Ta + P·Rth. Effective RθJA, or case/heatsink-dominant RθJC+RθCA (not equivalent models). Mixing both paths is CONFLICTING_INPUTS. (calculation_version 1.1.2)", "page": "https://www.calculatorx.com/calc/electric/mosfet-tj", "api": "https://www.calculatorx.com/api/v1/calc/mosfet-tj", "calculation_version": "1.1.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review (EE-001)", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-16", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.input.json", "output": "https://www.calculatorx.com/schemas/electrical.mosfet.tj.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.tj/1.1.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.mosfet.tj/1.1.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.mosfet.tj/1.1.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.mosfet.tj/1.1.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.mosfet.tj", "verification": { "tests": { "passed": 18, "total": 18, "golden": 3, "boundary": 8, "property": 5, "formula_crosscheck": 2 }, "contract_checks": { "passed": 16, "total": 16 } }, "evidence_tests": { "total": 18, "passed": 18, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 5, "passed": 5 }, "formula_crosscheck": { "total": 2, "passed": 2 }, "contract": { "total": 16, "passed": 16, "failed": 0 } }, "limitations": [ "Steady-state only; not Zth or CFD", "Rth_JA is effective/application RθJA for the user's PCB and cooling environment, not a universal JEDEC package constant", "JC+CA is a case/heatsink-dominant lumped single-path approximation; it is not a universal equivalent of RθJA and ignores parallel PCB/package heat flow", "Rth_JA and Rth_JC or Rth_CA together is schema-invalid and CONFLICTING_INPUTS" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.2", "artifacts": { "engine": "1.1.2", "page": "1.1.2", "capability": "1.1.2", "evidence": "1.1.2", "input_schema": "1.1.2", "output_schema": "1.1.2", "mcp_contract": "1.1.2" }, "digests": { "input_schema_sha256": "bacbec2deaa82d91b5c2fcf2739bdc94f97e8b6f23cd8352b9b46d77394c1d2d", "output_schema_sha256": "dcdbc531b378ec3e1fa5f3fe4540141378cdacfcff6b8f91e92f0d3ae5220ead", "evidence_sha256": "afd12396b17b6e0fb74f60dbf4a5425f9ef16eeeb759b006e0d1dd9122d2820d", "evidence_core_sha256": "afd12396b17b6e0fb74f60dbf4a5425f9ef16eeeb759b006e0d1dd9122d2820d", "capability_sha256": "627f9181087e1e06341c5ae94a75ec634c540b52c3b99543fd858a6d20673ef9", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 16, "passed": 16, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.1.2" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.1.2" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.1.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "schema-rejects-missing-rth", "status": "pass" }, { "id": "share-url-roundtrip-ja", "status": "pass" }, { "id": "share-url-roundtrip-jc-ca", "status": "pass" }, { "id": "conflicting-paths-rejected", "status": "pass" }, { "id": "schema-rejects-conflicting-paths", "status": "pass" }, { "id": "output-schema-enforces-path-consistency", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.cascaded_nf", "tool_id": "cascaded-nf", "engine": "cascaded-nf", "title": "Cascaded noise figure", "summary": "Friis cascaded NF and total gain from stage NF/G in dB. (calculation_version 1.1.1)", "page": "https://www.calculatorx.com/calc/electric/cascaded-nf", "api": "https://www.calculatorx.com/api/v1/calc/cascaded-nf", "calculation_version": "1.1.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-12", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf/1.1.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.cascaded_nf/1.1.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.cascaded_nf/1.1.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.cascaded_nf/1.1.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.cascaded_nf", "verification": { "tests": { "passed": 22, "total": 22, "golden": 5, "boundary": 10, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 22, "passed": 22, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Mismatch effects are not modeled", "Image-noise / special mixer sideband behavior is not modeled", "REST/MCP arrays NF_dB[]/G_dB[] are limited to 64 stages (TOO_MANY_STAGES); field encoding NF1…NF8 is limited to 8", "Field encoding and array encoding are mutually exclusive (MIXED_INPUT_ENCODING); field stages must be contiguous from stage 1 (NONCONTIGUOUS_STAGES)", "When 10^(G_tot_dB/10) overflows IEEE-754 binary64, G_tot_lin is null and LINEAR_GAIN_OVERFLOW is returned; G_tot_dB remains finite" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.1", "artifacts": { "engine": "1.1.1", "page": "1.1.1", "capability": "1.1.1", "evidence": "1.1.1", "input_schema": "1.1.1", "output_schema": "1.1.1", "mcp_contract": "1.1.1" }, "digests": { "input_schema_sha256": "bfb7a1226de15f901673da5b7e001c641f416e175640fe463850a6d56761ae1d", "output_schema_sha256": "7df2c407d15f6a571ccf19a4e5ad5c0eeeed041efe0b9fcb75ba77483d71de62", "evidence_sha256": "f53d99914d237ea3d808552511f329e2556d5dec54890db87628512df9362418", "evidence_core_sha256": "f53d99914d237ea3d808552511f329e2556d5dec54890db87628512df9362418", "capability_sha256": "0533c36ff2dd615da13a85c2d9b22b4594bb6605e37d8c6c0f56eb553864f471", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.current_divider", "tool_id": "current-divider", "engine": "current-divider", "title": "Current divider", "summary": "Two-branch parallel current divider. Web UI: It, R1, R2 → I1, I2, V. API also solves selected inverse combinations (not arbitrary any-three; It+I1+I2 is underdetermined). (calculation_version 1.0.2)", "page": "https://www.calculatorx.com/calc/electric/current-divider", "api": "https://www.calculatorx.com/api/v1/calc/current-divider", "calculation_version": "1.0.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-14", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.current_divider.input.json", "output": "https://www.calculatorx.com/schemas/electrical.current_divider.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.current_divider/1.0.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.current_divider/1.0.2/output.json", "by_operation": { "from-It-R": "https://www.calculatorx.com/schemas/electrical.current_divider/from-It-R.input.json", "from-I1-R": "https://www.calculatorx.com/schemas/electrical.current_divider/from-I1-R.input.json", "from-I2-R": "https://www.calculatorx.com/schemas/electrical.current_divider/from-I2-R.input.json", "from-It-I1-R1": "https://www.calculatorx.com/schemas/electrical.current_divider/from-It-I1-R1.input.json", "from-It-I1-R2": "https://www.calculatorx.com/schemas/electrical.current_divider/from-It-I1-R2.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.current_divider/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.current_divider/1.0.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.current_divider", "verification": { "tests": { "passed": 23, "total": 23, "golden": 5, "boundary": 12, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 23, "passed": 23, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 12, "passed": 12 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Exactly two ideal resistive parallel branches; no additional branch or load", "Currents are non-negative magnitudes", "Web UI is It+R1+R2 only", "API supported combinations: It+R1+R2, R1+R2+I1, R1+R2+I2, It+I1+R1, It+I1+R2", "It+I1+I2 is underdetermined → UNSUPPORTED_COMBINATION", "Inverse It+I1+R1/R2 requires 0 < I1 < It for a finite R>0; I1=0 or I1=It → CURRENT_SPLIT_INVALID", "It=0 and I1=0 with R1 or R2 is underdetermined → UNSUPPORTED_COMBINATION", "<3 inputs → NEEDS_THREE_INPUTS" ], "methods": [ "Kirchhoff's current law (KCL): I1 + I2 = It", "Ohm's law: V = I1·R1 = I2·R2" ], "operations": [ "from-It-R", "from-I1-R", "from-I2-R", "from-It-I1-R1", "from-It-I1-R2" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.2", "artifacts": { "engine": "1.0.2", "page": "1.0.2", "capability": "1.0.2", "evidence": "1.0.2", "input_schema": "1.0.2", "output_schema": "1.0.2", "mcp_contract": "1.0.2" }, "digests": { "input_schema_sha256": "fd2d62434ceb76f8c2f295d990f1727eac827ffc06a620cee27bd74671500934", "output_schema_sha256": "38d5757df93af788f9c6c92980690a4fcf9221950a9be94f3fd32febb3ec5251", "evidence_sha256": "d2ee1d59e89d17cde08f2b8bb165619c6035ed5cb5a5c0554315c9f70dc92c7c", "evidence_core_sha256": "d2ee1d59e89d17cde08f2b8bb165619c6035ed5cb5a5c0554315c9f70dc92c7c", "capability_sha256": "86abb5f8437d343e4af03b0a198ae08ba82cb792002aaea3a5ad8c1716e3f4a0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.hpf", "tool_id": "hpf", "engine": "hpf", "title": "High-pass filter", "summary": "First-order RC HPF cutoff and optional |H(f)|. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/hpf", "api": "https://www.calculatorx.com/api/v1/calc/hpf", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.hpf.input.json", "output": "https://www.calculatorx.com/schemas/electrical.hpf.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.hpf/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.hpf/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.hpf/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.hpf/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.hpf", "verification": { "tests": { "passed": 6, "total": 6, "golden": 2, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "First-order RC only" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "7f2076d3e9b0806aab39a5f00d8f1d6c80877b69d0d2921501352c29870b1173", "output_schema_sha256": "03d8636997fb94a62fa5a13d0925ce01f3c37d297e5ac7f1eec76e092712925b", "evidence_sha256": "6b69dce32842a7944505071bd995a158a6d28d961c2f9cf1133022b2273116d2", "evidence_core_sha256": "6b69dce32842a7944505071bd995a158a6d28d961c2f9cf1133022b2273116d2", "capability_sha256": "fad5a6819bcf75b75b7b944a9b25605697a55e9f198fea13924e7d1cb018ac76", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.vswr", "tool_id": "vswr", "engine": "vswr", "title": "VSWR", "summary": "Convert |Γ|, VSWR, and return loss (plus mismatch loss). (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/vswr", "api": "https://www.calculatorx.com/api/v1/calc/vswr", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.vswr.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.vswr.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.vswr/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.vswr/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.vswr/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.vswr/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.vswr", "verification": { "tests": { "passed": 6, "total": 6, "golden": 2, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Scalar |Γ| only", "|Γ|≥1 → GAMMA_OUT_OF_RANGE" ], "methods": [], "operations": [ "gamma", "vswr", "rl" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "dc946260afa0c151587a0def8a6f2570a18ec5d475633432a524ffbc9573ad60", "output_schema_sha256": "42930fa6d0e26b20030c08e66bd951756ec952e0493345271e3b4d65ee5981f2", "evidence_sha256": "94a0980c1e31770b56597647f4233332f96b99fe7fe1ad3467a04e80cb82b7e0", "evidence_core_sha256": "94a0980c1e31770b56597647f4233332f96b99fe7fe1ad3467a04e80cb82b7e0", "capability_sha256": "42a69f0c6ebe50e232bf6c8240cd7cb0f04baadb6b603798be86b474d43e5462", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.tolerance.stackup", "tool_id": "tolerance-stackup", "engine": "tolerance-stackup", "title": "Tolerance stack-up", "summary": "1-D RSS or worst-case tolerance stack — Basic tol list or Engineering dimensions (nominal, ±tol, direction). (calculation_version 1.4.0)", "page": "https://www.calculatorx.com/calc/engineering/tolerance-stackup", "api": "https://www.calculatorx.com/api/v1/calc/tolerance-stackup", "calculation_version": "1.4.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX engineering review", "reviewer_role": "metrology-engineer", "last_reviewed": "2026-08-11", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.input.json", "output": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup/1.4.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.tolerance.stackup/1.4.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.stackup/1.4.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.tolerance.stackup/1.4.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.tolerance.stackup", "verification": { "tests": { "passed": 35, "total": 35, "golden": 4, "boundary": 13, "property": 18 }, "contract_checks": { "passed": 10, "total": 10 } }, "evidence_tests": { "total": 35, "passed": 35, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 13, "passed": 13 }, "property": { "total": 18, "passed": 18 }, "contract": { "total": 10, "passed": 10, "failed": 0 } }, "limitations": [ "1-D linear stack only — not geometric GD&T or Monte Carlo", "Basic inputs are treated as comparable tolerance magnitudes, not automatically as 1σ / 3σ / drawing limits", "RSS is a statistical estimate under independence; it is not a guaranteed assembly limit", "Engineering statistical_basis: magnitude (default, no coverage) and 1sigma use a; 3sigma uses a/3; uniform uses a/√3", "Uniform asymmetric ±tol shifts statistical center to interval midpoint (NIST Type B rectangular); stack_nom stays drawing nominal", "Legacy distribution=normal→1sigma, unknown→magnitude, uniform→uniform", "stack_half_range is not a hard worst-case bound when +Tol/−Tol are asymmetric about nominal — use stack_worst_plus / stack_worst_minus" ], "methods": [], "operations": [ "rss", "worst_case" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.4.0", "artifacts": { "engine": "1.4.0", "page": "1.4.0", "capability": "1.4.0", "evidence": "1.4.0", "input_schema": "1.4.0", "output_schema": "1.4.0", "mcp_contract": "1.4.0" }, "digests": { "input_schema_sha256": "036120d8f0e42fcc1ca177d0349b60957414b83b1e96effa9e22fa042525ed6a", "output_schema_sha256": "1b287114a9eeb904ab9cc4dc18a33ccf7c997be16d2d695a3cc074445c7f2405", "evidence_sha256": "b3ac478e694a4952fb28fbe2268ae98ce725a6d6aba50cca76b8f1933994ff4a", "evidence_core_sha256": "b3ac478e694a4952fb28fbe2268ae98ce725a6d6aba50cca76b8f1933994ff4a", "capability_sha256": "cc5809a731907d1264429a2f34b27f1ca682c9176b97c31f69a19734a425ae1b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.4.0" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.4.0" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.4.0" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.4.0" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.4.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.opamp.error_budget", "tool_id": "opamp-error-budget", "engine": "opamp-error-budget", "title": "Op-amp error budget", "summary": "DC Vos/Ib/Ios error budget with Rf/Rg (RSS or worst-case). (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/opamp-error-budget", "api": "https://www.calculatorx.com/api/v1/calc/opamp-error-budget", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.input.json", "output": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.opamp.error_budget/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.error_budget/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.opamp.error_budget/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.opamp.error_budget", "verification": { "tests": { "passed": 7, "total": 7, "golden": 2, "boundary": 3, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "DC Vos/Ib/Ios only — not noise/CMRR/PSRR" ], "methods": [], "operations": [ "noninv", "inv" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f07d31a9e7ba617b070e8a37fe1e663f50f63cc50eb89e7e0cee8b6fc672c684", "output_schema_sha256": "b1661dff540121de443cc46959bff65c134647b2183d65cb0807fbb78840d1f5", "evidence_sha256": "d4974f083ebcca781dd1484a44bdfd295897fe78e72ad4ed8fe7475e98f6c599", "evidence_core_sha256": "d4974f083ebcca781dd1484a44bdfd295897fe78e72ad4ed8fe7475e98f6c599", "capability_sha256": "cb9dfd2b75b6966307308b8acb4fb621a9aa67dd9780e6d78097fcf6d6afa8c3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.opamp_gain", "tool_id": "opamp-gain", "engine": "opamp-gain", "title": "Op-amp gain", "summary": "Closed-loop non-inverting / inverting gain from Rf and Rg. 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(calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/electric/antenna-length", "api": "https://www.calculatorx.com/api/v1/calc/antenna-length", "calculation_version": "1.0.3", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-05", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.antenna_length/1.0.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.antenna_length/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.antenna_length/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.antenna_length", "verification": { "tests": { "passed": 28, "total": 28, "golden": 5, "boundary": 10, "property": 13 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 28, "passed": 28, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 13, "passed": 13 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not a full antenna model — no ground, diameter, end-effect, loading coils, or NEC geometry." ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "75b65082e2c05ac7dbf5c781b5ff86c212308cf737ff4a604ac9cac9ac8f98e1", "output_schema_sha256": "ff32ffc407c1a9cc313e7e4d0ad861649ee2505fe640584d39ae92091a39b93c", "evidence_sha256": "c706c6c4b5c03eb31296fd8ba0e72a32ee9b072ddee9974051468d59b628ef0b", "evidence_core_sha256": "c706c6c4b5c03eb31296fd8ba0e72a32ee9b072ddee9974051468d59b628ef0b", "capability_sha256": "33472cda41d9fd4f7cf3d20ab536613c2c57147c817a5acb01dc770e6cef9a2b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.ac_dc_rectifier", "tool_id": "ac-dc-rectifier", "engine": "ac-dc-rectifier", "title": "AC↔DC rectifier", "summary": "Ideal half/full-wave rectified waveform (Vpeak/Vavg/Vrms) or capacitor-smoothed DC estimate — two circuit models. 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REST signed values ignore sign (SIGN_IGNORED_FOR_TOLERANCE_MAGNITUDE)", "Unit is a shared label; all contributors must already use the same unit — no conversion" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.0", "artifacts": { "engine": "1.3.0", "page": "1.3.0", "capability": "1.3.0", "evidence": "1.3.0", "input_schema": "1.3.0", "output_schema": "1.3.0", "mcp_contract": "1.3.0" }, "digests": { "input_schema_sha256": "9aad061f476a351cdcbe3256b8acc8d684a701499f9a3a35e97058aa2e141f80", "output_schema_sha256": "abd371ac9a76f0e7e9c13648cb220b15a2e9d154c98dd00d109186bda1f48251", "evidence_sha256": "6a904fb277c0b7a4f86ebcde9ae28ab9d5796323bdca2b58c97eb561601330f1", "evidence_core_sha256": "6a904fb277c0b7a4f86ebcde9ae28ab9d5796323bdca2b58c97eb561601330f1", "capability_sha256": "273b093356020ad29f9d4ad2afa615ef2010732de381707fd9e1f97de52eebb6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.3.0" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.3.0" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.3.0" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.3.0" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.3.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.series_capacitor", "tool_id": "series-capacitor", "engine": "series-capacitor", "title": "Series Capacitor", "summary": "Series equivalent capacitance 1/C=Σ1/Ci. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/series-capacitor", "api": "https://www.calculatorx.com/api/v1/calc/series-capacitor", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.series_capacitor.input.json", "output": "https://www.calculatorx.com/schemas/electrical.series_capacitor.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.series_capacitor/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.series_capacitor/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.series_capacitor/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.series_capacitor/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.series_capacitor", "verification": { "tests": { "passed": 5, "total": 5, "golden": 2, "boundary": 2, "property": 1 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 5, "passed": 5, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Ideal capacitors" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "6ae73b701540f94eef4c4906bd057912bc1aec84657e96bf40ad0d137d6af84b", "output_schema_sha256": "7528721cac83668146dbfbd345f173656cf0abb5dbc01c23f326be74fd4f4686", "evidence_sha256": "78ec210ff6dc6967ec7caf235551ee1c8a625db40071b343f3b3c2ebb0f82f65", "evidence_core_sha256": "78ec210ff6dc6967ec7caf235551ee1c8a625db40071b343f3b3c2ebb0f82f65", "capability_sha256": "11753619fb2d191abb8cee414084dd9fcb88756c4f8e53f24482ffc5326ef99f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.timer_555", "tool_id": "timer-555", "engine": "timer-555", "title": "555 Timer", "summary": "Astable frequency/duty/timing and monostable pulse width for the classic 555 using ln(2)-canonical NE555 timing (TI 0.693/1.44 are documented rounded aliases). (calculation_version 1.2.0)", "page": "https://www.calculatorx.com/calc/electric/timer-555", "api": "https://www.calculatorx.com/api/v1/calc/timer-555", "calculation_version": "1.2.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-13", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.timer_555.input.json", "output": "https://www.calculatorx.com/schemas/electrical.timer_555.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.timer_555/1.2.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.timer_555/1.2.0/output.json", "by_operation": { "astable": "https://www.calculatorx.com/schemas/electrical.timer_555/astable.input.json", "monostable": "https://www.calculatorx.com/schemas/electrical.timer_555/monostable.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.timer_555/1.2.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.timer_555/1.2.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.timer_555", "verification": { "tests": { "passed": 30, "total": 30, "golden": 3, "boundary": 7, "property": 20 }, "contract_checks": { "passed": 10, "total": 10 } }, "evidence_tests": { "total": 30, "passed": 30, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 20, "passed": 20 }, "contract": { "total": 10, "passed": 10, "failed": 0 } }, "limitations": [ "Classic NE555 ideal timing — astable uses ln(2) canonical model; TI 0.693/1.44 are rounded aliases", "Device families differ in timing accuracy, leakage, output/discharge characteristics and usable frequency range; verify the selected device datasheet", "Standard astable wiring always yields duty > 50%; diode-across-R2 <50% trick is not modeled", "f > 100 kHz → NE555_HIGH_FREQUENCY warning (NE555 distortion guidance)", "Monostable pulse_width < ~10 µs → MONOSTABLE_SHORT_PULSE warning", "mode-discriminated oneOf: astable requires R1,R2,C; monostable requires R,C", "Frozen at calculation_version 1.2.0 for forward timing — Designer / E-series / tolerance are separate surfaces" ], "methods": [], "operations": [ "astable", "monostable" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.0", "artifacts": { "engine": "1.2.0", "page": "1.2.0", "capability": "1.2.0", "evidence": "1.2.0", "input_schema": "1.2.0", "output_schema": "1.2.0", "mcp_contract": "1.2.0" }, "digests": { "input_schema_sha256": "28c7a7495fb90986ab08fc38e0861f68022f58ce939c9a2f4d7325767a94301b", "output_schema_sha256": "fbf0aeb7cd3b62a5f0749610a7a4c6a0bec3152dee5773f0e965d687b4a4d633", "evidence_sha256": "d6674f27b9ced72c022dc85e39b261f08d188f7149f428fea678777d5188e157", "evidence_core_sha256": "d6674f27b9ced72c022dc85e39b261f08d188f7149f428fea678777d5188e157", "capability_sha256": "0dd0afa06aeacab1f0d1a90ac526df97ef64b8b66e35ba411314b6356e7efcd3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.2.0" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.2.0" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.2.0" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.2.0" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.2.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.skin_depth", "tool_id": "skin-depth", "engine": "skin-depth", "title": "Skin Depth", "summary": "Electromagnetic skin depth δ=√(ρ/(πfμ)). (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/skin-depth", "api": "https://www.calculatorx.com/api/v1/calc/skin-depth", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.skin_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.skin_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.skin_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.skin_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 2, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Good-conductor approximation" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "53e2a079a2ade8b6e84248da892dc274102496951a6de1eeace8263eb744ee3f", "output_schema_sha256": "077d9f5f5237c36c8d07e781e1ecf0d69f4a5818530b7ac7c3ed034b81a908f1", "evidence_sha256": "1dc13d9ebada31715b10c3fb2ff6f1dea6100e8adad7fff82ed49426dc3971eb", "evidence_core_sha256": "1dc13d9ebada31715b10c3fb2ff6f1dea6100e8adad7fff82ed49426dc3971eb", "capability_sha256": "a704d212c7a2a8ed2861b19deb8d306bd2af027b173f7cc04836c0eb01cfa85e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.capability", "tool_id": "process-capability", "engine": "process-capability", "title": "Process Capability (Cp/Cpk)", "summary": "Design-stage Cp/Cpk from μ, σ, LSL, USL. Not in-control SPC and not Monte Carlo simulated indices. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/process-capability", "api": "https://www.calculatorx.com/api/v1/calc/process-capability", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.capability.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.capability.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.capability/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.capability/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.capability/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.capability/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.capability", "verification": { "tests": { "passed": 5, "total": 5, "golden": 1, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 5, "passed": 5, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Design-stage indices from μ and σ — not measured in-control SPC", "Not Monte Carlo simulated Cp/Cpk", "Two-sided LSL/USL required; USL must be greater than LSL" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "1fded02ee1287a641eb5645f574818b51c4a1e06e236456287f2b5303ffc5af9", "output_schema_sha256": "2c5af670b13dd55f0e6913e4c9a824fb041cece92dda81a6538a4698b5bf506b", "evidence_sha256": "8aec9a656230be187af97fbd148b2082e8e50ecb6f86e4db2be49f289e0a9f8a", "evidence_core_sha256": "8aec9a656230be187af97fbd148b2082e8e50ecb6f86e4db2be49f289e0a9f8a", "capability_sha256": "782c09136aba2dd027b991b0bddee6094d596e9cb2538e35880e05c83eb1d1c0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.cpm", "tool_id": "cpm", "engine": "cpm", "title": "Process capability (Cpm)", "summary": "Taguchi Cpm = (USL−LSL)/(6√(σ²+(μ−target)²)) from stated μ, σ, LSL, USL, and a target. Not Cp/Cpk, not Pp/Ppk, and not a Cpm≥1.33 verdict. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpm", "api": "https://www.calculatorx.com/api/v1/calc/cpm", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.cpm.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.cpm.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpm/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpm/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.cpm/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.cpm", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 3, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Design-stage from stated μ and σ — not measured in-control SPC", "Not Cp/Cpk (those ignore the target in the denominator)", "Not Pp/Ppk (those use sample s and have no target)", "This page does not issue a Cpm≥1.33 verdict" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "df0231edd4b959b812174c682b498b44b1219713e181874c708c6b4979359733", "output_schema_sha256": "a76bedd43a0e3384a5a3ace2e1a509aa726fbed2ff0d1c5fc3675e001d05bac7", "evidence_sha256": "84af9de6710fdd0b1711dd6a475754ecd45dd585aedca29b224014e5853e550c", "evidence_core_sha256": "84af9de6710fdd0b1711dd6a475754ecd45dd585aedca29b224014e5853e550c", "capability_sha256": "cdb24fba8b092c3ece0491e638c6f842bee63e6734d58a32ca77e961b15b73d1", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.cpm_performance", "tool_id": "cpm-performance", "engine": "cpm-performance", "title": "Process performance (Ppm)", "summary": "Overall Taguchi Ppm = (USL−LSL)/(6√(s²+(x̄−target)²)) from a sample. Not design-stage Cpm, not Pp/Ppk, and not a Ppm≥1.33 verdict. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/process-performance-ppm", "api": "https://www.calculatorx.com/api/v1/calc/cpm-performance", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpm_performance/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpm_performance/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.cpm_performance/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.cpm_performance", "verification": { "tests": { "passed": 10, "total": 10, "golden": 1, "boundary": 6, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Overall sample s — not design-stage Cpm from a stated σ", "Not Pp/Ppk (those have no target in the denominator)", "This page does not issue a Ppm≥1.33 verdict" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "04e3e9d1a28e00fe749a3b4b47abdd6e6a4259dee0cac2370238e22cb85382fc", "output_schema_sha256": "7c2278c6e981dcb2a6ec940bbeaaadc1e46bb6cbabea7760d99d6abd3cd952db", "evidence_sha256": "4ac5ecf6bdaa1667f623d064c98427851cf426f1b570608a962cf05b34e24e88", "evidence_core_sha256": "4ac5ecf6bdaa1667f623d064c98427851cf426f1b570608a962cf05b34e24e88", "capability_sha256": "ad6fda5d939478ec3f7bbf7175addf554a023e7606f715853dd1eced85d7aa01", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.cpmk", "tool_id": "cpmk", "engine": "cpmk", "title": "Process capability (Cpmk)", "summary": "Taguchi Cpmk = min(USL−μ, μ−LSL)/(3√(σ²+(μ−target)²)) from stated μ, σ, LSL, USL, and a target. Not Cpm, not Cpk, not Ppm, and not a Cpmk≥1.33 verdict. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/process-capability-cpmk", "api": "https://www.calculatorx.com/api/v1/calc/cpmk", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.cpmk.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.cpmk.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpmk/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpmk/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpmk/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.cpmk/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.cpmk", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 3, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Design-stage from stated μ and σ — not measured in-control SPC", "Not Cpm (that uses the two-sided span USL−LSL)", "Not Cpk (Cpk has no target in the denominator)", "Not Ppm (that uses sample s)", "This page does not issue a Cpmk≥1.33 verdict" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "3eb459ae841daa82da452238d03086d37dda245dc745a5843990d0211e813531", "output_schema_sha256": "a83138ed0e66c55e99eb987cd7a6cbe86ba87e064ad5a8ca8ac3b1a3418c2da8", "evidence_sha256": "a44fa5fe6a8b136ddd81246e2c814ee7e974dc591aa5de1ed32aef7e63293a0c", "evidence_core_sha256": "a44fa5fe6a8b136ddd81246e2c814ee7e974dc591aa5de1ed32aef7e63293a0c", "capability_sha256": "0cf292a7d8af0c1f9bca6e23c7bdf9fb1bdcfa9f5a6acc03fc96eb943473b4b6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.cpmk_performance", "tool_id": "cpmk-performance", "engine": "cpmk-performance", "title": "Process performance (Ppmk)", "summary": "Overall Taguchi Ppmk = min(USL−x̄, x̄−LSL)/(3√(s²+(x̄−target)²)) from a sample. Not Cpmk, not Ppk, not Ppm, and not a Ppmk≥1.33 verdict. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/process-performance-ppmk", "api": "https://www.calculatorx.com/api/v1/calc/cpmk-performance", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.cpmk_performance/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.cpmk_performance/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.cpmk_performance", "verification": { "tests": { "passed": 10, "total": 10, "golden": 1, "boundary": 6, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Overall sample s — not design-stage Cpmk from a stated σ", "Not Ppk (Ppk has no target in the denominator)", "Not Ppm (that uses the two-sided span USL−LSL)", "This page does not issue a Ppmk≥1.33 verdict" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "f7de48327bd4697a7a21aeb1e479a5789091dcfd0eceecfa40f3604d0617c75e", "output_schema_sha256": "2fbca1a04606e89fbc19a7be7782debb87e1b86781cfacd2287f3b0e1e0793f8", "evidence_sha256": "04ce9fce5608795af262865654b33b67ecd93b4eaffa06d8ef1f899237ffdb4b", "evidence_core_sha256": "04ce9fce5608795af262865654b33b67ecd93b4eaffa06d8ef1f899237ffdb4b", "capability_sha256": "5b0b9b82657518d5f2e2316e2608cdc7a914c112dac3764dc10cdfdb26865440", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.performance", "tool_id": "process-performance", "engine": "process-performance", "title": "Process performance (Pp/Ppk)", "summary": "Overall Pp/Ppk from a sample of process observations. σ is the overall sample s (ddof=1). Not design-stage Cp/Cpk, not Type A u_A, and not Monte Carlo simulated indices. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/process-performance", "api": "https://www.calculatorx.com/api/v1/calc/process-performance", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.performance.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.performance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.performance/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.performance/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.performance/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.performance/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.performance", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 5, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Overall sample s — not a stated design σ and not within-subgroup SPC", "Not design-stage Cp/Cpk and not Type A u_A = s/√n", "Not Monte Carlo simulated indices", "Two-sided LSL/USL required; USL must be greater than LSL" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "3968d12d5dc28d7f1a26050802323b1300115ab711e7253d6b0aaad3d61a1431", "output_schema_sha256": "3f75d729e8362ae3e8f8c654dd07db03b5fffc6931166a70dd2f3c6e3bce1be6", "evidence_sha256": "e797756b9d6a9300181c550a55910e7d31ff61620dbf0eaf1af467c8c7879167", "evidence_core_sha256": "e797756b9d6a9300181c550a55910e7d31ff61620dbf0eaf1af467c8c7879167", "capability_sha256": "71a032eb26a5b0a2dc1bd90e05bc4ce94ebd8188012c3b21f6fefece7b7970ad", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.process.guard_band", "tool_id": "guard-band", "engine": "guard-band", "title": "Guard Band", "summary": "Simple guard band GB=k·u with optional acceptance limits. Not ILAC G8 / JCGM 106 risk-based decision rules. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/guard-band", "api": "https://www.calculatorx.com/api/v1/calc/guard-band", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.process.guard_band.input.json", "output": "https://www.calculatorx.com/schemas/engineering.process.guard_band.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.process.guard_band/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.process.guard_band/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.process.guard_band/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.process.guard_band/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.process.guard_band", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 3, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "GB = k·u with k default 2 — not ILAC G8 / JCGM 106 risk-based rules", "USL and LSL optional; omitted limits skip that acceptance output", "Not Cp/Cpk and not Monte Carlo" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "016985412089204a0464c005ecf8a90ab1f7340907f5e294be02e2fd7209d30b", "output_schema_sha256": "727853f8a26875295a768f3fbe8b1edcfbe471c65d73674a6453d9d1d510d7f6", "evidence_sha256": "af6da1d1b8f767de88d5b7cddfac059a38dca279d9763673d91f85858ba54b94", "evidence_core_sha256": "af6da1d1b8f767de88d5b7cddfac059a38dca279d9763673d91f85858ba54b94", "capability_sha256": "d1bb6f52e8494315c85ee34a48fbd7b4ae2947950d81715caeeb42ea2d5b2e30", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.type_a", "tool_id": "type-a", "engine": "type-a", "title": "Type A Uncertainty", "summary": "Type A standard uncertainty u_A = s/√n from repeated observations. Not GUM combination and not Monte Carlo. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/type-a-uncertainty", "api": "https://www.calculatorx.com/api/v1/calc/type-a", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_a.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_a.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_a/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_a/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_a/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_a/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.type_a", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 3, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Type A from a sample — not GUM RSS of several uᵢ", "Not Monte Carlo", "ddof=1 requires n≥2" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "8cd2753b3d27d89ca2d63c7fc2d854103e5aa4db1d51e454eb70909d76d2ec82", "output_schema_sha256": "81b14f1a196e3f3448dddad91670038b910b106a21811ced1c5b0f62eb86b714", "evidence_sha256": "f64a593fe969739220710ba94856ab89347cd77483410de082792f945d0946be", "evidence_core_sha256": "f64a593fe969739220710ba94856ab89347cd77483410de082792f945d0946be", "capability_sha256": "863784a56f5036464c3efb68d68d7f6ba9a21d86caa7fed12122f947db064836", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.type_b", "tool_id": "type-b", "engine": "type-b", "title": "Type B Uncertainty", "summary": "Type B standard uncertainty from a half-width a. Rectangular u_B=a/√3, triangular u_B=a/√6. Not GUM combination and not Monte Carlo. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/type-b-uncertainty", "api": "https://www.calculatorx.com/api/v1/calc/type-b", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_b/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_b/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.type_b", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "One Type B component from a half-width — not GUM RSS of several uᵢ", "Not Monte Carlo", "Seeded distributions: rectangular and triangular only" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "6080180add3b3e3f6ea07297c66079905ded37d2111f71e63280aff62259290d", "output_schema_sha256": "4173e7a353bcc72cd370af3b7dc7958835fd6bb511d24a743296041b2cc1a277", "evidence_sha256": "908087f0435926cbc081ba00df756ebcded9cf0d4f74fcb00159a80716035465", "evidence_core_sha256": "908087f0435926cbc081ba00df756ebcded9cf0d4f74fcb00159a80716035465", "capability_sha256": "5875ae8af7c7ad0ec2251ee30a80751ce1294e9bef34d0fed8e178f585472952", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.type_b_nu", "tool_id": "type-b-nu", "engine": "type-b-nu", "title": "Type B degrees of freedom", "summary": "GUM G.4.2 Type B degrees of freedom: ν = ½(u/σ(u))². σ(u)=0 → ν is infinite. Not Type B u_B from a half-width, not Welch ν_eff, and not U = k·u_c. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/type-b-degrees-of-freedom", "api": "https://www.calculatorx.com/api/v1/calc/type-b-nu", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b_nu.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b_nu.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b_nu/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.type_b_nu/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_b_nu/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.type_b_nu/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.type_b_nu", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "GUM G.4.2 ν from stated u and σ(u) — not Type B u_B = a/√3", "Not Welch–Satterthwaite ν_eff from several u_i, ν_i", "Not expanded U = k·u_c", "Does not take half-width a" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "7b22b0d63d6e02d6665b31db6243dc6f28ac663223a6656463f1b12b0dfd2817", "output_schema_sha256": "cf26d94dacd5758ad6abd0a6c918c65e209e07652decb2eba100305caf88d321", "evidence_sha256": "5ad5f1c3e01c4d7d188835eda542494acd36c4531bc5b2a641454f54b897d55e", "evidence_core_sha256": "5ad5f1c3e01c4d7d188835eda542494acd36c4531bc5b2a641454f54b897d55e", "capability_sha256": "b1c5bfbaaf302910fcc6db04a0e37708afe4b2a47562bd57c72d75e84fbf64b3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.welch_satterthwaite", "tool_id": "welch-satterthwaite", "engine": "welch-satterthwaite", "title": "Welch–Satterthwaite ν_eff", "summary": "Effective degrees of freedom ν_eff = u_c⁴ / Σ (u_i⁴ / ν_i) (GUM G.4). If uc is omitted, u_c is the uncorrelated RSS of u_i. Not combined RSS as a product page and not expanded U = k·u_c. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/welch-satterthwaite", "api": "https://www.calculatorx.com/api/v1/calc/welch-satterthwaite", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.welch_satterthwaite.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.welch_satterthwaite.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.welch_satterthwaite/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.welch_satterthwaite/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.welch_satterthwaite/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.welch_satterthwaite/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.welch_satterthwaite", "verification": { "tests": { "passed": 10, "total": 10, "golden": 1, "boundary": 5, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Does not combine a measurement model (use Uncertainty propagate)", "Does not look up coverage factor k from a t-table", "Does not compute expanded U = k·u_c", "Uncorrelated RSS only when uc is omitted" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "69ed3e7bd7690295bcdc384fd8f592f2257a4d676cf6a129e1d2ac2653377127", "output_schema_sha256": "45740d021dc33caeee449d18a8bc0b5cbc49290f54af70b49443ce930fee34b6", "evidence_sha256": "186e7826e99b7aa674a48a6ce40250fe3046dfb0eb7216a070493949ffd88533", "evidence_core_sha256": "186e7826e99b7aa674a48a6ce40250fe3046dfb0eb7216a070493949ffd88533", "capability_sha256": "704210049499afd99280ca8780de7140095ac6888a82062cd117a1114f74c11e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.weighted_mean", "tool_id": "weighted-mean", "engine": "weighted-mean", "title": "Inverse-variance weighted mean", "summary": "GUM H.3 inverse-variance weighted mean of independent results of the same measurand: x_w = Σ(x_i/u_i²)/Σ(1/u_i²), u_w = 1/√Σ(1/u_i²). Not combined RSS, not Type A u_A = s/√n, and not GUM propagate. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/weighted-mean", "api": "https://www.calculatorx.com/api/v1/calc/weighted-mean", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.weighted_mean.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.weighted_mean.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.weighted_mean/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.weighted_mean/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.weighted_mean/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.weighted_mean/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.weighted_mean", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Independent uncorrelated results of the same measurand — not RSS of a measurement model", "Does not compute Type A u_A = s/√n from repeats without individual u_i", "Does not compute expanded U = k·u_w", "χ² / Birge are diagnostics, not a pass/fail verdict" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "da008f579c37f7c7c08cd298509b622dfe4ee81c41ed32349e926b804c153c47", "output_schema_sha256": "d2629b5ce5875b7414b46d84e47b0e0793e4e7c060d9f4e49b8747c6cd45997d", "evidence_sha256": "2499c222f5eea21ae0c95c9f3cd10e4ddca9f85bd870b2c604d8571c96ff4fee", "evidence_core_sha256": "2499c222f5eea21ae0c95c9f3cd10e4ddca9f85bd870b2c604d8571c96ff4fee", "capability_sha256": "41fec6d567265863aff2193280cac3b6127bc2f91139e4984516b9855e540d7a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.coverage_factor", "tool_id": "coverage-factor", "engine": "coverage-factor", "title": "Coverage factor k", "summary": "Two-sided coverage factor k = t_{(1+p)/2}(ν) from degrees of freedom and confidence (GUM G.3 / G.4). Infinite ν uses the normal quantile. Not expanded U = k·u_c and not GUM propagate. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/engineering/coverage-factor", "api": "https://www.calculatorx.com/api/v1/calc/coverage-factor", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.coverage_factor.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.coverage_factor.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.coverage_factor/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.coverage_factor/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.coverage_factor/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.coverage_factor", "verification": { "tests": { "passed": 10, "total": 10, "golden": 1, "boundary": 5, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Does not compute expanded U = k·u_c (use Uncertainty propagate)", "Does not combine a measurement model", "Does not look up ν_eff (use Welch–Satterthwaite)" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "20893f1fb226455a702cbda171b92f0b4b3d1c226266deecc18af0c59cd6ec83", "output_schema_sha256": "daaf8adbcbffabcd2ab99d1546bea58f7b62ec619902a8a0141e9ea3698fd2a1", "evidence_sha256": "3538d03bd256f38c25c3ddc9726a8d7e0b217ee35811330a104fbe8b38ba2871", "evidence_core_sha256": "3538d03bd256f38c25c3ddc9726a8d7e0b217ee35811330a104fbe8b38ba2871", "capability_sha256": "6d1acd008f148257efe32175b604951c672e2aec905ae161da7b992e4b8a5fc8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.tur", "tool_id": "tur", "engine": "tur", "title": "Test uncertainty ratio TUR", "summary": "Two-sided TUR = (USL−LSL)/(2U) from an already-expanded U (ANSI/NCSL Z540.3). Spec via lsl+usl, T, or half-width tol. Not pass/fail, not guard band, and not combined RSS. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/test-uncertainty-ratio", "api": "https://www.calculatorx.com/api/v1/calc/tur", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.tur.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.tur.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.tur/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.tur/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.tur/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.tur/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.tur", "verification": { "tests": { "passed": 12, "total": 12, "golden": 1, "boundary": 7, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "U is already expanded — this page does not compute U = k·u_c", "Does not combine a measurement model or RSS of u_i", "Does not issue a TUR≥4 pass/fail or an ILAC G8 decision", "Not a guard band and not Cp/Cpk" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "374568c238feb49ca1bddd71820deea630ae505652d019cb90f19d0ea5460d41", "output_schema_sha256": "a800db86156365a097a111ab1f505e06b58af2796d9068548e169ec13b9ce29b", "evidence_sha256": "57caf367b1d7350d5b469249098f9878ecf48b039a5bbfc4637d40c8eb6bfd6c", "evidence_core_sha256": "57caf367b1d7350d5b469249098f9878ecf48b039a5bbfc4637d40c8eb6bfd6c", "capability_sha256": "148b1a60fea4dd323925a7ef69fc715467477cb04936fa6bc087f17445295c18", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.decision_rule", "tool_id": "decision-rule", "engine": "decision-rule", "title": "Conformity decision rule", "summary": "Binary ILAC G8-style decision on a measured y: simple acceptance (w=0) or guarded acceptance (LSL+w ≤ y ≤ USL−w). The guard-band zone is fail, not conditional. Not JCGM 106 risk, not TUR, and not GB-only. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/decision-rule", "api": "https://www.calculatorx.com/api/v1/calc/decision-rule", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.decision_rule.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.decision_rule.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.decision_rule/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.decision_rule/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.decision_rule/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.decision_rule/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.decision_rule", "verification": { "tests": { "passed": 11, "total": 11, "golden": 1, "boundary": 6, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Binary pass/fail only — the guard-band zone is fail, not conditional", "Does not compute ILAC G8 / JCGM 106 consumer or producer risk", "Does not compute TUR or GB = k·u as a product (use those pages)", "U or w is the already-stated band; this page does not expand u_c" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "2f885ee0c51bad80b168b8d33a85f09ef246fbba92dbebb3181d700d012cbc10", "output_schema_sha256": "62130b2c75d1323b192384b792792b35107341b6e3b09b4d6ed13891a997e49f", "evidence_sha256": "6e4a121c9d9159f3a4ad777e1876264151d97eb58dc6bd8fc5a419fa81a49386", "evidence_core_sha256": "6e4a121c9d9159f3a4ad777e1876264151d97eb58dc6bd8fc5a419fa81a49386", "capability_sha256": "b6f9690d0b99bfaf71cb4192da0b8a780ffc4f22f65898abd16e19800f55f019", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.mpe", "tool_id": "mpe", "engine": "mpe", "title": "Maximum permissible error MPE", "summary": "VIM MPE: pass iff |ylab−xref| ≤ MPE. ratio = |ε|/MPE. Equality is pass. Not an ILAC G8 spec decision on y, not En (no U), and not ε without a limit. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/maximum-permissible-error", "api": "https://www.calculatorx.com/api/v1/calc/mpe", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.mpe.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.mpe.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.mpe/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.mpe/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.mpe/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.mpe/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.mpe", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Binary |ε| ≤ MPE — equality is pass", "Does not compare y to LSL/USL (use the decision-rule page)", "Does not divide by U (that is En) and does not report ε without a limit", "U, Ulab, and T are not aliases for MPE" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "97902045444aeb0f07e3272599fe810504ecc7a90ae0377bc71f0f58b7e51ed9", "output_schema_sha256": "9cd4fefc2b226695a42f7dbc23b3c412f0f8c1e1e931f9c271d7651d0354f97d", "evidence_sha256": "9fdeaa13ca6fb8d7b3c100d6fe4dc82a3fe200f9f7955b46ea7bcebf77cb706c", "evidence_core_sha256": "9fdeaa13ca6fb8d7b3c100d6fe4dc82a3fe200f9f7955b46ea7bcebf77cb706c", "capability_sha256": "0ebd4c15465adc95a8dc551eace14b902cc8d2ab566e333b4543d199edbb7519", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.normalized_error", "tool_id": "normalized-error", "engine": "normalized-error", "title": "Normalized error En", "summary": "Proficiency-testing En = (ylab−xref)/√(Ulab²+Uref²). |En| ≤ 1 is pass (ISO 13528 / ISO/IEC 17043). Ulab and Uref are already expanded. Not zeta, not TUR, and not an ILAC G8 spec decision. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/normalized-error", "api": "https://www.calculatorx.com/api/v1/calc/normalized-error", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.normalized_error.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.normalized_error.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.normalized_error/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.normalized_error/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.normalized_error/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.normalized_error/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.normalized_error", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 4, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ulab and Uref are already expanded — this page does not compute U = k·u", "Not the zeta-score (that uses standard u, not U)", "Not TUR and not an ILAC G8 specification decision on y", "|En| ≤ 1 is pass; the test does not add a warning zone" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "43d7d78ee321f3895d41974819980f5f1a3b01d3ca5d500573979af783e1d06b", "output_schema_sha256": "23b69c8ef3da6010a7217fa7afd23f653303e816debcb1193711d2b2aeb6c0b6", "evidence_sha256": "10629c7349f8ecb500f1115f2e9240051dd183dd3c73eda528bfd191ba7bfdde", "evidence_core_sha256": "10629c7349f8ecb500f1115f2e9240051dd183dd3c73eda528bfd191ba7bfdde", "capability_sha256": "7d3c93d2247ae1557de444cab2ff58525d5b4507661e07d0894f6f1b0fa439e0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.zeta_score", "tool_id": "zeta-score", "engine": "zeta-score", "title": "Zeta-score", "summary": "Proficiency-testing zeta-score ζ = (ylab−xref)/√(ulab²+uref²). ulab and uref are standard uncertainties (ISO 13528). |ζ| ≤ 2 pass, 2 < |ζ| < 3 warning, |ζ| ≥ 3 fail. Not En, not TUR, and not an ILAC G8 spec decision. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/zeta-score", "api": "https://www.calculatorx.com/api/v1/calc/zeta-score", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.zeta_score.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.zeta_score.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.zeta_score/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.zeta_score/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.zeta_score/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.zeta_score/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.zeta_score", "verification": { "tests": { "passed": 11, "total": 11, "golden": 1, "boundary": 5, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ulab and uref are standard uncertainties — this page does not compute U = k·u or En", "Not the normalized error En (that uses already-expanded U)", "Not TUR and not an ILAC G8 specification decision on y", "|ζ| ≤ 2 is pass; 2 < |ζ| < 3 is warning; |ζ| ≥ 3 is fail" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "2ae38a9c85afacf28630860e0c5f2fd7e75539404aec3b0e1bab1e008b160923", "output_schema_sha256": "f1a743506ba087bd815b41e9a086ad0c38c994fb52208b1431005a211cd59529", "evidence_sha256": "a868cc755d0269bf379c647bad24e6bd93239ceeabfc6f765bb8bb35b8958925", "evidence_core_sha256": "a868cc755d0269bf379c647bad24e6bd93239ceeabfc6f765bb8bb35b8958925", "capability_sha256": "6a17beb1cfdacf78733e1bdba0220320c439c84f288399a806a76f2d1da24a8a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.z_score", "tool_id": "z-score", "engine": "z-score", "title": "Proficiency-testing z-score", "summary": "ISO 13528 z-score z = (ylab−xref)/σ_pt. σ_pt is the scheme standard deviation for proficiency assessment (SDPA), not laboratory u and not expanded U. |z| ≤ 2 pass, 2 < |z| < 3 warning, |z| ≥ 3 fail. Not zeta, not En, and not an ILAC G8 spec decision. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/proficiency-z-score", "api": "https://www.calculatorx.com/api/v1/calc/z-score", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.z_score.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.z_score.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.z_score/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.z_score/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.z_score/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.z_score/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.z_score", "verification": { "tests": { "passed": 13, "total": 13, "golden": 1, "boundary": 6, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "σ_pt is the scheme SDPA — this page does not compute lab u or U = k·u", "Not the zeta-score (that uses √(ulab²+uref²))", "Not the normalized error En (that uses already-expanded U)", "Not TUR and not an ILAC G8 specification decision on y", "|z| ≤ 2 is pass; 2 < |z| < 3 is warning; |z| ≥ 3 is fail" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "891fbf40a7ed8b147f092e7fcf6df696938c211d814d44423039ec5aef1f1936", "output_schema_sha256": "6534410340fd21a04b80659cdedefa4ea48ed1f7221a9f6bd3d5c72cdf318f1a", "evidence_sha256": "1a34146265bac606ccd92cea2f21baf52f7604dcc94a0b7242b6d4eecde36269", "evidence_core_sha256": "1a34146265bac606ccd92cea2f21baf52f7604dcc94a0b7242b6d4eecde36269", "capability_sha256": "6b8f82c0e5ffb30ff594ebe2d366e786738f716d3b84b12bd83de639394e6014", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.conformity.z_prime", "tool_id": "z-prime", "engine": "z-prime", "title": "Proficiency-testing z′", "summary": "ISO 13528 z′ = (ylab−xref)/√(σ_pt²+u(x_pt)²). σ_pt and u(x_pt) must both be > 0 so this cannot wrap z-score. |z′| ≤ 2 pass, 2 < |z′| < 3 warning, |z′| ≥ 3 fail. Not z-score, not zeta, and not En. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/proficiency-z-prime", "api": "https://www.calculatorx.com/api/v1/calc/z-prime", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.conformity.z_prime.input.json", "output": "https://www.calculatorx.com/schemas/engineering.conformity.z_prime.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.z_prime/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.conformity.z_prime/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.conformity.z_prime/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.conformity.z_prime/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.conformity.z_prime", "verification": { "tests": { "passed": 12, "total": 12, "golden": 1, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Requires σ_pt > 0 and u(x_pt) > 0 — this page does not wrap z-score", "Not the z-score (that divides by σ_pt alone)", "Not the zeta-score (that uses √(ulab²+uref²))", "Not the normalized error En (that uses already-expanded U)", "Not TUR and not an ILAC G8 specification decision on y" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "b1d51fce95843a970031fcadbc343fb9eef3621d6589b0b35452c83a0529baac", "output_schema_sha256": "36998eed90cf5a6490fedfc72b699f332374c51359781d0888b173c1699864b4", "evidence_sha256": "99cd2c2d3967f9b98e3bcb56ef70d82787fac9d9b81015ae2caa015e2ff4ac11", "evidence_core_sha256": "99cd2c2d3967f9b98e3bcb56ef70d82787fac9d9b81015ae2caa015e2ff4ac11", "capability_sha256": "30b1b14374d0d595278d3353ed81069ff7030fe06d76f3c5ef1a0f44f10b33e3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.error", "tool_id": "measurement-error", "engine": "measurement-error", "title": "Measurement error", "summary": "VIM measurement error ε = ylab − xref (signed). Relative error is ε/xref when xref ≠ 0. Not percent error (×100), not En, not zeta, and not a z-score. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/measurement-error", "api": "https://www.calculatorx.com/api/v1/calc/measurement-error", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.error.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.error.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.error/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.error/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.error/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.error/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.error", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 2, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Signed error — this page does not multiply by 100 (that is percent error)", "Not En, zeta, or z-score (those divide by U, u, or σ_pt)", "Not an ILAC G8 specification decision", "Relative error is undefined when xref = 0" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "b18c8d2bcfc95a619bed620ec0ecd564ad9b1ee49f4572657e38eda2033f8f07", "output_schema_sha256": "fc710d774412f0e9f9fa075970c94eea14bf873bad7ef68aeb95ed8ad04da7d6", "evidence_sha256": "0c8deeb5c0e0ca499bdb044f4a2bc07b9c70ffd3e14854b095a86cf3b83ea011", "evidence_core_sha256": "0c8deeb5c0e0ca499bdb044f4a2bc07b9c70ffd3e14854b095a86cf3b83ea011", "capability_sha256": "df1330fbedfb4630a3057deba8545ce3cdbf511ce25e736fb589ec64687e1aa4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.accuracy", "tool_id": "accuracy", "engine": "accuracy", "title": "Measurement bias (trueness)", "summary": "VIM trueness: signed bias = x̄ − xm from repeats on a master. s may be zero. Not a single-shot measurement error, not Type A u_A, and not Type-1 Cg (no T). (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/measurement-bias", "api": "https://www.calculatorx.com/api/v1/calc/accuracy", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.accuracy.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.accuracy.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.accuracy/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.accuracy/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.accuracy/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.accuracy", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 4, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Signed bias from a sample mean — not a single-shot measurement error ε", "Does not report Type A u_A = s/√n", "Does not need a tolerance T (that is Type-1 Cg/Cgk)", "s = 0 is valid; n = 1 with ddof = 1 is VALUE_OUT_OF_RANGE" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "dd207a5a0ffc822fb75b18576a250ff74d79e654909808201ac7633f084372d0", "output_schema_sha256": "e4b7a26f0681937e954120961cc1088c43205bcf402a55178378e7e9a113b5a8", "evidence_sha256": "f9be4699d07ddb2f2664768647ba1e2d59d0c1137957a3088b1449970d253a8e", "evidence_core_sha256": "f9be4699d07ddb2f2664768647ba1e2d59d0c1137957a3088b1449970d253a8e", "capability_sha256": "98d1757ca9c26eefbe23caaec7d8b35b11d0c5259269ac4e27bd6d652b920499", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.precision", "tool_id": "precision", "engine": "precision", "title": "Measurement precision (repeatability)", "summary": "ISO 5725 repeatability from a sample: s, CV = s/|x̄| when x̄ ≠ 0, and r = 2.8·s. Not Type A u_A, not Gauge R&R EV, and not percent CV (×100). (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/precision", "api": "https://www.calculatorx.com/api/v1/calc/precision", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.precision.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.precision.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.precision/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.precision/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.precision/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.precision/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.precision", "verification": { "tests": { "passed": 11, "total": 11, "golden": 1, "boundary": 5, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "r = 2.8·s is the ISO 5725 conventional repeatability limit, not coverage factor k", "Does not report Type A u_A = s/√n", "Not Gauge R&R repeatability (EV)", "CV is not multiplied by 100; CV is undefined when x̄ = 0" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "d22d8b50bcb4ff55ce899f141ca46e040a64db7b88513714880f426e65028cb0", "output_schema_sha256": "661330b4dfa40adf9e45c5359f0d7cd64a21d783f07d8cd31eec5abbf00ba02d", "evidence_sha256": "ac41b3475203b49bbe224db34d1b5cc64e86dc0da1457a359295e2b90cad6344", "evidence_core_sha256": "ac41b3475203b49bbe224db34d1b5cc64e86dc0da1457a359295e2b90cad6344", "capability_sha256": "c36e360d8e15f4b3e65d5bb56324e83e82bc4165c706de4978f4186e8702bbd4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.reproducibility", "tool_id": "reproducibility", "engine": "reproducibility", "title": "ISO 5725 reproducibility limit", "summary": "ISO 5725 reproducibility from stated components: s_R = √(s_r²+s_L²), R = 2.8·s_R. Not r = 2.8·s from a sample, not AIAG GRR, and not combined RSS of a measurement model. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/reproducibility", "api": "https://www.calculatorx.com/api/v1/calc/reproducibility", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.reproducibility/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.reproducibility/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.reproducibility/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.reproducibility", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Takes stated s_r and s_L — not a sample and not a single s_R wrap", "Not ISO 5725 r = 2.8·s from repeats", "Not AIAG Gauge R&R AV / GRR", "Not combined RSS of a measurement model" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "42f7bae2c0f0dd8090378838e8c7631a9be58f1f647110cacec416fb8d177ad6", "output_schema_sha256": "891a33166441a9676a3331fbe8fd1dc3fcdf4db7a3f3f8822965c786d70aa563", "evidence_sha256": "bea12c38ab2e8a6323680580b0b83206d96e31e2a4482905846e6407f83d556a", "evidence_core_sha256": "bea12c38ab2e8a6323680580b0b83206d96e31e2a4482905846e6407f83d556a", "capability_sha256": "4d3bc11f0e8cebf19f2a034503340fabf454e4349594c671fdfc629cd3f5b6ec", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.precision_mean", "tool_id": "precision-uncertainty", "engine": "precision-uncertainty", "title": "Uncertainty of a mean from precision", "summary": "ISO 21748 u = √(s_L²+s_r²/n) of a mean of n≥2 replicates from stated precision components. Not R = 2.8·s_R, not Type A from a sample, and not U = k·u. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/precision-uncertainty", "api": "https://www.calculatorx.com/api/v1/calc/precision-uncertainty", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.precision_mean/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.precision_mean/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.precision_mean/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.precision_mean", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Takes stated s_r, s_L, and n≥2 — not a sample of observations", "n=1 is rejected so this cannot wrap s_R", "Not ISO 5725 R = 2.8·s_R and not Type A u_A = s/√n from values", "Does not compute expanded U = k·u" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "cdbf42690f6344f56212f6f86accd1ae12e1b6299530d706be92f4482531fa22", "output_schema_sha256": "5f5d57b20a3a795bbd3651f849cb4e0ebf55a5844ae803071e46f1d7f2f1a33c", "evidence_sha256": "09f491922f045d782daf2dcd8bd71320d60cb7fe518abeb303a9140241ae8400", "evidence_core_sha256": "09f491922f045d782daf2dcd8bd71320d60cb7fe518abeb303a9140241ae8400", "capability_sha256": "9091fbcf089277e805b3ca697d38aa1441069b4c8ae0ae387c00425989a2fc60", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.uncertainty.pooled_sd", "tool_id": "pooled-sd", "engine": "pooled-sd", "title": "Pooled standard deviation", "summary": "Pooled s_p = √(Σ ν_i s_i² / Σ ν_i) from k≥2 stated sample standard deviations and their degrees of freedom. Not Type A from one sample, not Welch–Satterthwaite ν_eff, and not ISO 21748 u of a mean. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/pooled-standard-deviation", "api": "https://www.calculatorx.com/api/v1/calc/pooled-sd", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd.input.json", "output": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.uncertainty.pooled_sd/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.uncertainty.pooled_sd/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.uncertainty.pooled_sd/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.uncertainty.pooled_sd", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Takes stated s_i and ν_i — not a single sample of observations", "k=1 is rejected so this cannot wrap Type A / identity s", "Does not compute Welch–Satterthwaite ν_eff", "Does not compute ISO 21748 u of a mean" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "4cbf584cea32d116db72e4e8b97853e345acda42e629d71862a261cce916aeb4", "output_schema_sha256": "2d51663f8669526f3d5d2ce13d8f750c0828e44a381a35ce56af34cf244e247a", "evidence_sha256": "f1681a6267a627ecb8db50fb463fad887501d62c225fca72d32bd910aab81b3d", "evidence_core_sha256": "f1681a6267a627ecb8db50fb463fad887501d62c225fca72d32bd910aab81b3d", "capability_sha256": "9dbdce76bc230b01cb84efe1793935da60d5f4a7bcd38d01f5ffd3d5aed318f8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.duplicate_sd", "tool_id": "duplicate-sd", "engine": "duplicate-sd", "title": "Repeatability from duplicates", "summary": "ISO 5725 repeatability s_r = √(Σ d_i² / (2m)) from m≥2 duplicate differences. Not Type A from a sample of observations, not r = 2.8·s, and not AIAG GRR EV = R̄/d2. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/repeatability-from-duplicates", "api": "https://www.calculatorx.com/api/v1/calc/duplicate-sd", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.duplicate_sd/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.duplicate_sd/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.duplicate_sd/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.duplicate_sd", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Takes duplicate differences — not a sample of observations", "m=1 is rejected so this cannot wrap |d|/√2", "Does not report r = 2.8·s_r", "Not AIAG GRR EV = R̄/d2" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "8c3e695177b7646874c27e0351185c153ffb865e99a5eab3d153db147c112ac7", "output_schema_sha256": "eca2e8d7374c35a286cb1100f2b1e987acbbad987497935ee137d3c45284081d", "evidence_sha256": "15400d13473335de5d2fca34933070957f0cf650704e8bb92aa3669cd96e3645", "evidence_core_sha256": "15400d13473335de5d2fca34933070957f0cf650704e8bb92aa3669cd96e3645", "capability_sha256": "1d2564eee10799366975a8741661aa740a1aae0ace18de8fa9007ff191758325", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.measurement.cochran", "tool_id": "cochran", "engine": "cochran", "title": "Cochran's C", "summary": "ISO 5725-2 Cochran C = s_max² / Σ s_i² from k≥2 stated laboratory sample standard deviations. Not pooled s_p, not Hartley's F_max, and not a tabulated Ccrit pass/fail. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/cochrans-c", "api": "https://www.calculatorx.com/api/v1/calc/cochran", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.input.json", "output": "https://www.calculatorx.com/schemas/engineering.measurement.cochran.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.cochran/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.measurement.cochran/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.measurement.cochran/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.measurement.cochran/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.measurement.cochran", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Takes stated laboratory s_i — not a sample of observations", "k=1 is rejected so this cannot wrap identity C=1", "All-zero s is rejected (Σ s² must be > 0)", "Does not compare C to a tabulated Ccrit(p, n, α)", "Not pooled s_p and not Hartley's F_max" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "1fa7f4bad9eafe23562601eb868af034c62528ec37bbedeb038463599a3d561a", "output_schema_sha256": "ab0c31baf89f18c4d0ae79def9aaa3f1b2052fc2c2758407fdf444201a29d34f", "evidence_sha256": "4ff40131e8b12193e768120f7c76d22b2d40b7047af29f23ae6f8f177d5682dd", "evidence_core_sha256": "4ff40131e8b12193e768120f7c76d22b2d40b7047af29f23ae6f8f177d5682dd", "capability_sha256": "9021c77870d38f616dd7be276df73aefe113c75efde803a61125689b70b3e722", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.msa.gauge_capability", "tool_id": "gauge-capability", "engine": "gauge-capability", "title": "Gauge capability (Cg/Cgk)", "summary": "Type-1 Cg/Cgk from repeats on a master: Cg=(frac·T)/(6s), Cgk=(frac·T/2−|x̄−xm|)/(3s). frac defaults to 0.2 (Bosch / VDA 5). Not AIAG GRR, not Cp/Cpk, and not a Cg≥1.33 verdict. 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Not a single-master bias, not Type-1 Cg, and not a %Linearity pass/fail. 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Not OLS linearity, not a %Hysteresis pass/fail, and not AIAG GRR. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/engineering/hysteresis", "api": "https://www.calculatorx.com/api/v1/calc/hysteresis", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/engineering.msa.hysteresis.input.json", "output": "https://www.calculatorx.com/schemas/engineering.msa.hysteresis.output.json", "input_versioned": "https://www.calculatorx.com/schemas/engineering.msa.hysteresis/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/engineering.msa.hysteresis/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/engineering.msa.hysteresis/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.msa.hysteresis/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/engineering.msa.hysteresis", "verification": { "tests": { "passed": 8, "total": 8, "golden": 1, "boundary": 4, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Maximum paired |y_up − y_down| — not a %Hysteresis / process-variation verdict", "Not OLS of ε versus xref (Linearity) and not a single-shot measurement error", "Does not take T and does not issue pass/fail", "n≥2 index-paired points; not AIAG GRR" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "1f2b30bb499681531fdf96098a7ce1538158b21e2c3f8ed0ef056c85ea3c3f2d", "output_schema_sha256": "34e21b114f51288c9cfdc1494576170079926b1b9a4ca3c4e1c556a4384c77e5", "evidence_sha256": "f84d2b2ab4f7aa4a1e1d3e81c035e5f1323b1c6afbccb832b9adf529f39691d8", "evidence_core_sha256": "f84d2b2ab4f7aa4a1e1d3e81c035e5f1323b1c6afbccb832b9adf529f39691d8", "capability_sha256": "e8f47df747c45abaaa3dec05474b55f3107913a741c73fe547d48fd46ac26329", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "engineering.msa.gauge_rr", "tool_id": "gauge-rr", "engine": "gauge-rr", "title": "Gauge R&R", "summary": "AIAG Gauge R&R compose: GRR=√(EV²+AV²), TV=√(GRR²+PV²), %GRR, ndc. Optional range-method EV=R̄/d2. Not a full ANOVA study. 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(calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/opamp-noise", "api": "https://www.calculatorx.com/api/v1/calc/opamp-noise", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.opamp.noise.input.json", "output": "https://www.calculatorx.com/schemas/electrical.opamp.noise.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.opamp.noise/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.opamp.noise/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.opamp.noise/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.opamp.noise/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.opamp.noise", "verification": { "tests": { "passed": 5, "total": 5, "golden": 2, "boundary": 2, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 5, "passed": 5, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Flat-band only; no 1/f" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f906de2c05a7dd719cc3b6f89d309ea3d35b10b8938c65ef5b3d7a3d8b0997e8", "output_schema_sha256": "5c44a705983598be3ec90760af1f231ce2a94a4b001ba5027d95ca1a46c8b9cf", "evidence_sha256": "0ffd66465be5a57124ebb7e1739df456d2461a76cbef1e14098beeaf2f4e4b14", "evidence_core_sha256": "0ffd66465be5a57124ebb7e1739df456d2461a76cbef1e14098beeaf2f4e4b14", "capability_sha256": "5fb1a1b048c22ce6ac9599155ced8b5efe49961b25c6710f355a51ede8e38089", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.thermal.heatsink_rth", "tool_id": "heatsink-rth", "engine": "heatsink-rth", "title": "Heatsink Thermal Resistance", "summary": "Junction temperature from effective θJA or θJC+θCS+θSA, or required heatsink θSA,max = (Tj,max−Ta)/P − θJC − θCS. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/electric/heatsink-rth", "api": "https://www.calculatorx.com/api/v1/calc/heatsink-rth", "calculation_version": "1.1.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review (EE-001)", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-14", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.input.json", "output": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth/1.1.0/output.json", "by_operation": { "junction_effective_ja": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth/junction_effective_ja.input.json", "junction_heatsink_stack": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth/junction_heatsink_stack.input.json", "required_heatsink_sa": "https://www.calculatorx.com/schemas/electrical.thermal.heatsink_rth/required_heatsink_sa.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.thermal.heatsink_rth/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.thermal.heatsink_rth/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.thermal.heatsink_rth", "verification": { "tests": { "passed": 17, "total": 17, "golden": 4, "boundary": 5, "property": 8 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 8, "passed": 8 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Steady-state lumped Rθ only; not Zth(t) or CFD", "θJA and θJC+θCS+θSA are exclusive models — mixing them is CONFLICTING_INPUTS", "Required mode reports θSA,max, not total θJA", "θCA / Rth_HS are rejected: θCA already includes the ambient-side path", "Parallel PCB/package heat-flow paths are ignored on the explicit stack", "P is device dissipation converted to heat, not load or output power", "θSA,max ≤ 0 returns HEATSINK_INFEASIBLE and is not a purchasable heatsink" ], "methods": [], "operations": [ "junction_effective_ja", "junction_heatsink_stack", "required_heatsink_sa" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "e0368bf8a72142969285ce1e69ef710a5a43f00276ab16322c9e8cfc0061058d", "output_schema_sha256": "ba3caefa631d7ec1c7571e9d97c0ffb097099dcfed5105f8dc46fb4d5086cc26", "evidence_sha256": "6979ef5559a4ace504d7d5ac980b9a57d3c76da0dbd911978478435771acd1f7", "evidence_core_sha256": "6979ef5559a4ace504d7d5ac980b9a57d3c76da0dbd911978478435771acd1f7", "capability_sha256": "3ccdb9e591ef9df648c32e694a726552012d7d388998e296827364d37aa81638", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.pcb.trace_thermal", "tool_id": "pcb-trace-thermal", "engine": "pcb-trace-thermal", "title": "PCB Trace Thermal", "summary": "Copper trace I²R power and temperature rise with board Rth. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/pcb-trace-thermal", "api": "https://www.calculatorx.com/api/v1/calc/pcb-trace-thermal", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.input.json", "output": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.pcb.trace_thermal/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.pcb.trace_thermal/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.pcb.trace_thermal/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.pcb.trace_thermal", "verification": { "tests": { "passed": 4, "total": 4, "golden": 2, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 4, "passed": 4, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Uniform copper; lumped board Rth" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "48f72081a3f83919941edcb1332c070d71af16d2dedb850179655860e454ac7c", "output_schema_sha256": "ebf06f24de63198fff85739d66316d2d79b25f2fd65ec7d545f3af857f739f59", "evidence_sha256": "82177b0adf216f21076b56ed507f39a82a3ca4455c479f070488ffe9114109cb", "evidence_core_sha256": "82177b0adf216f21076b56ed507f39a82a3ca4455c479f070488ffe9114109cb", "capability_sha256": "f29ab4b8982bea23d496f8e1bef485a8a89ab212c317495b5c063e6f7b9266ac", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rectifier.ripple_cap", "tool_id": "rectifier-ripple-cap", "engine": "rectifier-ripple-cap", "title": "Rectifier Ripple Capacitor", "summary": "Filter C or Vripple for half/full-wave capacitor-input rectifiers. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/rectifier-ripple-cap", "api": "https://www.calculatorx.com/api/v1/calc/rectifier-ripple-cap", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rectifier.ripple_cap/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rectifier.ripple_cap/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rectifier.ripple_cap/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rectifier.ripple_cap", "verification": { "tests": { "passed": 5, "total": 5, "golden": 2, "boundary": 1, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 5, "passed": 5, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Constant load current; ideal diodes" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "ddac7a52731f8aa2b838370c42b537aee30a6707ebe5eaf734b41a09126d2792", "output_schema_sha256": "cfeb02dcc846f9e66e83f5ef3726467ce5de22229ca82360a915eadaff79aee1", "evidence_sha256": "d6ff33537f558cc511f6ff798f6c214a8e4f1623d8e3b002d1ef71265c031e35", "evidence_core_sha256": "d6ff33537f558cc511f6ff798f6c214a8e4f1623d8e3b002d1ef71265c031e35", "capability_sha256": "9de85060a42437184b0fd019f35103f20647ae26f0065f992ffcaa1eb4989e76", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.em.coulomb", "tool_id": "coulomb", "engine": "coulomb", "title": "Coulomb's Law", "summary": "Electrostatic force F = k·|q1·q2|/r² between point charges. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/coulomb", "api": "https://www.calculatorx.com/api/v1/calc/coulomb", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.em.coulomb.input.json", "output": "https://www.calculatorx.com/schemas/physics.em.coulomb.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.em.coulomb/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.em.coulomb/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.em.coulomb/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.em.coulomb/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.em.coulomb", "verification": { "tests": { "passed": 4, "total": 4, "golden": 2, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 4, "passed": 4, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Point charges; εr=1" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "9e4420a50311bbe512be5530c9a5aed56b4ea1ca5852417c5eab6a77d5ab8acc", "output_schema_sha256": "213ae3cbd0052169df135a60be17f590909372421ca06d2601078403a347efea", "evidence_sha256": "b218e926bbf55a8c85d48d04610a028d0d0efbdf39b9afd8c6c1b03cf879d861", "evidence_core_sha256": "b218e926bbf55a8c85d48d04610a028d0d0efbdf39b9afd8c6c1b03cf879d861", "capability_sha256": "76465e464de97e5645150605877e14bb4e48d96a745524f7cd0495a843e4f5b8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.digital.logic_gate", "tool_id": "logic-gate", "engine": "logic-gate", "title": "Logic Gate", "summary": "Basic Boolean gate outputs from binary inputs. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/logic-gate", "api": "https://www.calculatorx.com/api/v1/calc/logic-gate", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-08-08", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.input.json", "output": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.digital.logic_gate/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.digital.logic_gate/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.digital.logic_gate/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.digital.logic_gate", "verification": { "tests": { "passed": 7, "total": 7, "golden": 2, "boundary": 3, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Combinational Boolean only" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c94eecbac04975e5ab6dfd28fb6f2c11bb23322bd4deb29e46d713b86170c783", "output_schema_sha256": "ee9481ed53e7aa646c9cc972dffe03917724bda4af624228c354f1b98d8c91bf", "evidence_sha256": "a7ed6f2c176ffc4798e9482d22fd1ea2888b9dcd7ef725d6b2d7c444df905a9d", "evidence_core_sha256": "a7ed6f2c176ffc4798e9482d22fd1ea2888b9dcd7ef725d6b2d7c444df905a9d", "capability_sha256": "7cf709c3753e2e66e730c96dbfb848168a73b611e610833f7c7ed873f4b225f9", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.battery.aging", "tool_id": "battery-aging", "engine": "battery-aging", "title": "Linear Battery Aging", "summary": "Linear capacity fade from independent cycle and calendar aging. Default k_cycle=0.0002/cycle and k_cal=0.02/year are illustrative. (calculation_version 1.0.2)", "page": "https://www.calculatorx.com/calc/electric/battery-aging", "api": "https://www.calculatorx.com/api/v1/calc/battery-aging", "calculation_version": "1.0.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-05", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.battery.aging.input.json", "output": "https://www.calculatorx.com/schemas/electrical.battery.aging.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.battery.aging/1.0.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.battery.aging/1.0.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.battery.aging/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.battery.aging/1.0.2", "capability_page": "https://www.calculatorx.com/capabilities/electrical.battery.aging", "verification": { "tests": { "passed": 14, "total": 14, "golden": 3, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Linear independent cycle+calendar fade — not temperature, SOC, DoD, C-rate, or chemistry aware", "Default k_cycle=0.0002/cycle and k_cal=0.02/year are illustrative", "fade_frac is unclamped exposure and may exceed 1; SOH and capacity_Ah are clamped at 0" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.2", "artifacts": { "engine": "1.0.2", "page": "1.0.2", "capability": "1.0.2", "evidence": "1.0.2", "input_schema": "1.0.2", "output_schema": "1.0.2", "mcp_contract": "1.0.2" }, "digests": { "input_schema_sha256": "530a01f1f22d5c7d69bfd54543b215b1d53999fc6d19102e02a920f8be4f32cb", "output_schema_sha256": "e003d668697e01cb9d53db19b3bff48e2afe6529c26da8af007393f2acc076ff", "evidence_sha256": "b0e45f90a51c1f380ae21787ec50a371eb36d0e9732502b89787be223185cc97", "evidence_core_sha256": "b0e45f90a51c1f380ae21787ec50a371eb36d0e9732502b89787be223185cc97", "capability_sha256": "12d6c34bac5f83dd3232637db56b370025ecfe018aae81257cfb9589f500f7ec", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.buck.ripple", "tool_id": "buck-ripple", "engine": "buck-ripple", "title": "Buck Converter Ripple", "summary": "Assumed-CCM buck peak-to-peak inductor ripple ΔI_L,pp and optional capacitor-only ΔV_C,pp (ESR=0). (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/electric/buck-ripple", "api": "https://www.calculatorx.com/api/v1/calc/buck-ripple", "calculation_version": "1.1.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": "electrical-engineer", "last_reviewed": "2026-09-11", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.buck.ripple.input.json", "output": "https://www.calculatorx.com/schemas/electrical.buck.ripple.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.buck.ripple/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.buck.ripple/1.1.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.buck.ripple/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.buck.ripple/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.buck.ripple", "verification": { "tests": { "passed": 15, "total": 15, "golden": 1, "boundary": 10, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ideal CCM is assumed, not measured — no Iout, so CCM/DCM is not certified", "ΔI_L_A and ΔV_out_V are peak-to-peak, not RMS or amplitude", "ΔV_out_V is capacitor-only (ESR=0); ESR and switching transients are neglected", "DCM, current-mode control dynamics, and non-ideal switch/diode drops are out of scope" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "c877e8a833a24fc7d74ecd9af3a2d84df1aa2d5c82b0076e7d2a965ba872ea5d", "output_schema_sha256": "800d2d0f8dca7da1b6f17b885c435390030c1a705a4444e66484757b3c7498d6", "evidence_sha256": "b1cdfd06981d513d661cd01a4fd079e78520e0d6e38c00311716ac2acc1d9fdf", "evidence_core_sha256": "b1cdfd06981d513d661cd01a4fd079e78520e0d6e38c00311716ac2acc1d9fdf", "capability_sha256": "7b44b86de4d5b40dd67ea76ffed25293a48d54915294d21cb15a7f3cd7ff9ef1", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "units.temperature.celsius_kelvin", "tool_id": "celsius-kelvin", "engine": "celsius-kelvin", "title": "Celsius ↔ Kelvin", "summary": "Affine °C↔K with absolute-zero guards. (calculation_version 1.0.2)", "page": "https://www.calculatorx.com/calc/physics/celsius-kelvin", "api": "https://www.calculatorx.com/api/v1/calc/celsius-kelvin", "calculation_version": "1.0.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.input.json", "output": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin.output.json", "input_versioned": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin/1.0.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/units.temperature.celsius_kelvin/1.0.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/units.temperature.celsius_kelvin/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/units.temperature.celsius_kelvin/1.0.2", "capability_page": "https://www.calculatorx.com/capabilities/units.temperature.celsius_kelvin", "verification": { "tests": { "passed": 6, "total": 6, "golden": 2, "boundary": 2, "property": 2 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 2, "passed": 2 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not Fahrenheit/Rankine" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.2", "artifacts": { "engine": "1.0.2", "page": "1.0.2", "capability": "1.0.2", "evidence": "1.0.2", "input_schema": "1.0.2", "output_schema": "1.0.2", "mcp_contract": "1.0.2" }, "digests": { "input_schema_sha256": "afcc050eb5a57f499db2da7cb139986f5f1e0981d008ab32ee243be6bc03890a", "output_schema_sha256": "058bc19115573bebcd6ca791427779ce152e9b83f841a098a46e3887e6bee717", "evidence_sha256": "c5d2af3241d1d9545358628aeb65173b0a21709343d96b4ddb338713848e3010", "evidence_core_sha256": "c5d2af3241d1d9545358628aeb65173b0a21709343d96b4ddb338713848e3010", "capability_sha256": "9fcaad7d43d7455cc63586898e31ac1f09f0af4d1c33af2f4b6e4a2eb01927ba", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "units.pressure.psi_bar", "tool_id": "psi-bar", "engine": "psi-bar", "title": "PSI ↔ Bar", "summary": "Positive pressure conversion using the international pound-force and inch. 1 bar ≈ 14.503773773020923 psi. (calculation_version 1.0.2)", "page": "https://www.calculatorx.com/calc/physics/psi-bar", "api": "https://www.calculatorx.com/api/v1/calc/psi-bar", "calculation_version": "1.0.2", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX electrical review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.input.json", "output": "https://www.calculatorx.com/schemas/units.pressure.psi_bar.output.json", "input_versioned": "https://www.calculatorx.com/schemas/units.pressure.psi_bar/1.0.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/units.pressure.psi_bar/1.0.2/output.json" }, "evidence": "https://www.calculatorx.com/evidence/units.pressure.psi_bar/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/units.pressure.psi_bar/1.0.2", "capability_page": "https://www.calculatorx.com/capabilities/units.pressure.psi_bar", "verification": { "tests": { "passed": 4, "total": 4, "golden": 2, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 4, "passed": 4, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Magnitude only; not gauge→absolute" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.2", "artifacts": { "engine": "1.0.2", "page": "1.0.2", "capability": "1.0.2", "evidence": "1.0.2", "input_schema": "1.0.2", "output_schema": "1.0.2", "mcp_contract": "1.0.2" }, "digests": { "input_schema_sha256": "042097a88842c7ddd594a114f578b06e8a78a57d4f0940681e0abd9f9c68971a", "output_schema_sha256": "9d5f1551088a11d7898656b7b90d7c55f519a0f962c7aab560815848c7e5f231", "evidence_sha256": "0506c42976a39bb8d717fd0a76a54728dbbd576f0bc52e4cf29b392b14991a60", "evidence_core_sha256": "0506c42976a39bb8d717fd0a76a54728dbbd576f0bc52e4cf29b392b14991a60", "capability_sha256": "0479b5050a81a3436f822f76012cf57e132e9d84d7a5e09aad6f9c6e82b9d74d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.mosfet.vth", "tool_id": "mosfet-vth", "engine": "mosfet-vth", "title": "MOSFET Threshold / Overdrive", "summary": "Overdrive, square-law Id (cutoff / linear / saturation), or solve model Vth, with optional linear Vth(Tj). Vth is the long-channel square-law parameter, not datasheet VGS(th). 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Omitted εr defaults to 1.0. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/electric/coax-impedance", "api": "https://www.calculatorx.com/api/v1/calc/coax-impedance", "calculation_version": "1.0.1", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX physics/RF review", "reviewer_role": "rf-engineering", "last_reviewed": "2026-09-12", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.coax.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.coax.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.coax/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.coax/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.coax/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.coax/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.coax", "verification": { "tests": { "passed": 21, "total": 21, "golden": 4, "boundary": 8, "property": 9 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 21, "passed": 21, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 9, "passed": 9 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Does not model conductor loss", "Does not model dielectric loss / tanδ", "Does not model dispersion", "Does not model connectors or discontinuities", "Does not model higher-order modes" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "238096127bce9b927422b6f723d34b14a1361ca5931027a5ca9c3d366706b204", "output_schema_sha256": "8402a00ce0ce19cd0a0fd73b6cc066e2d8b452a2340ac3a5ab8bd1c443b561d0", "evidence_sha256": "7572e26243b5298bd8c28fb033dbbaba3c66bf503dbf54ff220599d21118f325", "evidence_core_sha256": "7572e26243b5298bd8c28fb033dbbaba3c66bf503dbf54ff220599d21118f325", "capability_sha256": "f0a2b17597e4f7f21f50e4887b684633a070c292bd7401f258b2f2231df4e211", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.lc_match", "tool_id": "lc-match", "engine": "lc-match", "title": "L-section LC Match", "summary": "Narrowband real RL→Z0 L-section dual solutions. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/lc-match", "api": "https://www.calculatorx.com/api/v1/calc/lc-match", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX physics/RF review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.lc_match.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.lc_match/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.lc_match/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.lc_match/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.lc_match/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.lc_match", "verification": { "tests": { "passed": 3, "total": 3, "golden": 1, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 3, "passed": 3, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Real ZL only; narrowband; no stub match" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f53a4a3fc52cf494315fde93b212040024511d659c94922df54a8ec2af2673d4", "output_schema_sha256": "029449b40c7384e75997faaf59ff69fc07e1a5bc8f202b326f8cf2823a19ece4", "evidence_sha256": "1333cf79dda1e90b345a15409f58126b444f2712298aa9cef7ce8069e07c567d", "evidence_core_sha256": "1333cf79dda1e90b345a15409f58126b444f2712298aa9cef7ce8069e07c567d", "capability_sha256": "373cfec7164bc7060582c2a3c9bedb22283a4c0d5154822f8eed8e820db8bb40", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.smith", "tool_id": "smith-chart", "engine": "smith-chart", "title": "Smith Chart (Impedance Matching)", "summary": "RF Smith Chart & Matching Workspace: mode-discriminated Agent API, strict match-steps, Touchstone S11, auto-match, SVG overlays. (calculation_version 1.6.3)", "page": "https://www.calculatorx.com/calc/electric/smith-chart", "api": "https://www.calculatorx.com/api/v1/calc/smith-chart", "calculation_version": "1.6.3", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX Internal RF review", "reviewer_role": "Internal RF review", "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.smith.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.smith.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.smith/1.6.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.smith/1.6.3/output.json", "by_operation": { "z-gamma": "https://www.calculatorx.com/schemas/electrical.rf.smith/z-gamma.input.json", "gamma-z": "https://www.calculatorx.com/schemas/electrical.rf.smith/gamma-z.input.json", "match": "https://www.calculatorx.com/schemas/electrical.rf.smith/match.input.json", "match-steps": "https://www.calculatorx.com/schemas/electrical.rf.smith/match-steps.input.json", "s11-touchstone": "https://www.calculatorx.com/schemas/electrical.rf.smith/s11-touchstone.input.json", "auto-match": "https://www.calculatorx.com/schemas/electrical.rf.smith/auto-match.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.smith/1.6.3.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.smith/1.6.3", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.smith", "verification": { "tests": { "passed": 21, "total": 21, "golden": 9, "boundary": 5, "property": 7 }, "contract_checks": { "passed": 10, "total": 10 } }, "evidence_tests": { "total": 21, "passed": 21, "failed": 0, "golden": { "total": 9, "passed": 9 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 10, "passed": 10, "failed": 0 } }, "limitations": [ "No multi-section Chebyshev / broadband optimizer", "Full bilateral gain redesign with S12 feedback not supported", "Drag-to-tune and S21/stability overlays are UI-side (API returns numerical modes)", "Noise circles require Touchstone noise params (NFmin, Γopt, Rn); not inferred from S alone", "Passive Z↔Γ / matching: R≥0 and |Γ|≤1; active overlay circles may extend outside the unit circle" ], "methods": [], "operations": [ "z-gamma", "gamma-z", "match", "match-steps", "s11-touchstone", "auto-match" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.6.3", "artifacts": { "engine": "1.6.3", "page": "1.6.3", "capability": "1.6.3", "evidence": "1.6.3", "input_schema": "1.6.3", "output_schema": "1.6.3", "mcp_contract": "1.6.3" }, "digests": { "input_schema_sha256": "a05ef25ca7cf35bc01f6722b882e746a008756fc0dd54724052d34e5ddac35b7", "output_schema_sha256": "5736600d32f028e3ae48b600659781b97c032b017db38f2bb489284177b06234", "evidence_sha256": "b994da939d2d3931643582e997ec0120bfbbbc7ecdb29163a78c03cb0f9e3613", "evidence_core_sha256": "b994da939d2d3931643582e997ec0120bfbbbc7ecdb29163a78c03cb0f9e3613", "capability_sha256": "f44a0733548c8eaebe0d64224306e372f4e588c66d6e768498302b4c252aa081", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "contract-page-version", "status": "pass", "detail": "1.6.3" }, { "id": "contract-capability-version", "status": "pass", "detail": "1.6.3" }, { "id": "contract-input-schema-version", "status": "pass", "detail": "1.6.3" }, { "id": "contract-output-schema-version", "status": "pass", "detail": "1.6.3" }, { "id": "evidence-version-matches-manifest", "status": "pass", "detail": "1.6.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "electrical.rf.gamma_z", "tool_id": "gamma-z", "engine": "gamma-z", "title": "Γ ↔ Z (Complex)", "summary": "Complex reflection coefficient ↔ normalized impedance with VSWR/RL. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/electric/gamma-z", "api": "https://www.calculatorx.com/api/v1/calc/gamma-z", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX physics/RF review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.input.json", "output": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z.output.json", "input_versioned": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/electrical.rf.gamma_z/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/electrical.rf.gamma_z/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/electrical.rf.gamma_z/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/electrical.rf.gamma_z", "verification": { "tests": { "passed": 3, "total": 3, "golden": 1, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 3, "passed": 3, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Normalized z; |Γ|≤1 for passive" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f9c7e18fb8d970bbb2d2305d69d20675ec4717c9b61e482493d04674fdec4b7e", "output_schema_sha256": "3565267c74b93991c06b6d40415e1381d2a32053bcb9c1e833b640cd471fd705", "evidence_sha256": "3323fd594f691a6269ce6a6bce2136251541b59c6441aac45e20aee9f0eea006", "evidence_core_sha256": "3323fd594f691a6269ce6a6bce2136251541b59c6441aac45e20aee9f0eea006", "capability_sha256": "a79cb7ff5f0719b336e0fe9cab48777cda0a440d5315c350fd42c4ef1f59e2f4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "units.energy.kwh_joule", "tool_id": "kwh-joule", "engine": "kwh-joule", "title": "kWh ↔ Joule", "summary": "Energy conversion with 1 kWh = 3.6 MJ. 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(calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/force", "api": "https://www.calculatorx.com/api/v1/calc/force", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX physics review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.dynamics.force.input.json", "output": "https://www.calculatorx.com/schemas/physics.dynamics.force.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.dynamics.force/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.dynamics.force/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.dynamics.force/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.dynamics.force/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.dynamics.force", "verification": { "tests": { "passed": 3, "total": 3, "golden": 1, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 3, "passed": 3, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Point-mass Newtonian; no relativity" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "38dd94e0c3da0a2190b0bfbd538b12c92169eb83307fb07d3a25b99b65561c85", "output_schema_sha256": "24edcc6af3929ac2eaaf23198ed4e4d16572b7b2bb791e441ce8f013ce3e63a2", "evidence_sha256": "59a93664c4f23dac029dd4a5844423c8a928acf3dccd1a103125de8ab43d459e", "evidence_core_sha256": "59a93664c4f23dac029dd4a5844423c8a928acf3dccd1a103125de8ab43d459e", "capability_sha256": "f673e46d6819e61930b97f9ee5e1b8d10849f305c9d2ad77bcd060b7ba51f1d0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.reynolds", "tool_id": "reynolds", "engine": "reynolds", "title": "Reynolds Number", "summary": "Re = ρvL/μ with laminar/turbulent pipe guidance bands. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/reynolds", "api": "https://www.calculatorx.com/api/v1/calc/reynolds", "calculation_version": "1.0.0", "tier": "internally_reviewed", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": true, "review_kind": "internal", "source_checked": true, "reviewed_by": "CalculatorX physics review", "reviewer_role": null, "last_reviewed": "2026-08-09", "version_lock_supported": true, "expert_review_status": "not_applicable", "internal_review_status": "approved" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.reynolds.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.reynolds/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.reynolds/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.reynolds/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.reynolds/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.reynolds", "verification": { "tests": { "passed": 3, "total": 3, "golden": 1, "boundary": 1, "property": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 3, "passed": 3, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Pipe guidance bands 2300/4000; not a stability proof" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "778f6b7e614381f28618ffffb8236dcff27df728b49c9b78350bb534681c551c", "output_schema_sha256": "3768f6d13db36cccd6460f4f716a796475b50d06b1305e777c163b93837a4dd2", "evidence_sha256": "9a41464961d9137555b4c3cde46ec5d1f442dca0f772951041cf0c8d4c614044", "evidence_core_sha256": "9a41464961d9137555b4c3cde46ec5d1f442dca0f772951041cf0c8d4c614044", "capability_sha256": "99a2324b0c208e910913a1e79a2322b52c11b9007ecfbd18beb34b3b698b8e34", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.colebrook", "tool_id": "colebrook", "engine": "colebrook", "title": "Colebrook Friction Factor", "summary": "Colebrook–White Darcy friction factor f from Re and ε/D. Turbulent pipes Re≥4000. Not laminar 64/Re. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/colebrook", "api": "https://www.calculatorx.com/api/v1/calc/colebrook", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.colebrook.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.colebrook.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.colebrook/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.colebrook/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.colebrook/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.colebrook/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.colebrook", "verification": { "tests": { "passed": 9, "total": 9, "golden": 1, "boundary": 5, "property": 3 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 3, "passed": 3 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Turbulent pipes Re ≥ 4000 — not laminar f=64/Re", "Not a Moody-chart lookup", "Does not compose Darcy–Weisbach head loss" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "3e523ba459b82af86a656a663688e2321e8b4a9592f9c1c2ff0745ff4ee5f09f", "output_schema_sha256": "cd6d361ae837cd914f7c599c1f47a85cac544494a582e3e14d95dcd625ed27f8", "evidence_sha256": "fd8e198fbbdbb00ba7348f84e4a912b58cb8c4edbd48deef606e6c65d4afe370", "evidence_core_sha256": "fd8e198fbbdbb00ba7348f84e4a912b58cb8c4edbd48deef606e6c65d4afe370", "capability_sha256": "40451a85c18a0de98eb18eb2da71a100c14181aa0cfba9b3a5300fc9f267a08e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.darcy_weisbach", "tool_id": "darcy-weisbach", "engine": "darcy-weisbach", "title": "Darcy–Weisbach", "summary": "Pipe head loss hf = f L v²/(2 g D) and Δp = ρ g hf from a given Darcy friction factor. Does not solve Colebrook for f. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/darcy-weisbach", "api": "https://www.calculatorx.com/api/v1/calc/darcy-weisbach", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.darcy_weisbach.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.darcy_weisbach.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.darcy_weisbach/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.darcy_weisbach/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.darcy_weisbach/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.darcy_weisbach/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.darcy_weisbach", "verification": { "tests": { "passed": 11, "total": 11, "golden": 1, "boundary": 5, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Incompressible; constant Darcy friction factor; circular pipe", "Does not solve Colebrook for f", "Not Hazen–Williams, not minor-loss K v²/2g", "Not volumetric flow Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "87a5120e0303b9bef2ee820592411248e0e9ab8fcca99ecc1fd7b70c07a3939c", "output_schema_sha256": "facaec23d012cbdcfe4ff878408123158e08e664d0f509ad52d2624349669601", "evidence_sha256": "ca55491cde358a40cd764fea35b2fc749a42c6c8e14cb960d460e5efb9b495d3", "evidence_core_sha256": "ca55491cde358a40cd764fea35b2fc749a42c6c8e14cb960d460e5efb9b495d3", "capability_sha256": "458b5163ba903f17f31c8e82d7dd24e35883a53bc2a876db10d1d341580d39f0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.manning", "tool_id": "manning-formula", "engine": "manning-formula", "title": "Manning formula", "summary": "SI Manning open-channel discharge Q = (1/n) A R^{2/3} S^{1/2}. k=1. Not Q=Av, not Darcy–Weisbach, not a weir, not US customary 1.486. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/manning-formula", "api": "https://www.calculatorx.com/api/v1/calc/manning-formula", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.manning.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.manning.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.manning/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.manning/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.manning/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.manning/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.manning", "verification": { "tests": { "passed": 13, "total": 13, "golden": 1, "boundary": 7, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "SI only: k=1. US customary 1.486 is out of scope", "Uniform open-channel flow; R=A/P", "Not Q=Av identities (see /calc/physics/flow-rate)", "Not Darcy–Weisbach pipe head loss", "Not a weir or orifice" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "ce75b3f712d318b9be8b796e369ab70b38e9ae1e2beb31e450bd3d90afb698a4", "output_schema_sha256": "1fb3e4b2796c9eca80d859ad82e7749283a0367586f02b6a82a2c52f47694d62", "evidence_sha256": "458f2bed20f72ff143950674191a294c597ff098eafb10b995636150e04dd00e", "evidence_core_sha256": "458f2bed20f72ff143950674191a294c597ff098eafb10b995636150e04dd00e", "capability_sha256": "22c9c59b2c50f9b1b33d40106402edca5771e3db46ee0484d463ca3da0e3821b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.weir", "tool_id": "weir-discharge", "engine": "weir-discharge", "title": "Weir discharge", "summary": "Thin-plate weir discharge. Rectangular Q=(2/3) C_d L √(2g) H^{3/2}. Triangular Q=(8/15) C_d √(2g) tan(θ/2) H^{5/2}. Not Manning, not Q=Av, not Darcy, not an orifice, not Francis contractions. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/weir-discharge", "api": "https://www.calculatorx.com/api/v1/calc/weir-discharge", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.weir.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.weir.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.weir/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.weir/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.weir/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.weir/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.weir", "verification": { "tests": { "passed": 15, "total": 15, "golden": 1, "boundary": 9, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 9, "passed": 9 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Thin-plate weir; free nappe; SI g=9.80665 unless given", "Rectangular: Q=(2/3) C_d L √(2g) H^{3/2}; not Francis contractions", "Triangular: Q=(8/15) C_d √(2g) tan(θ/2) H^{5/2}", "Not Manning, not Q=Av, not Darcy, not an orifice" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "2a4b8c2260cb328e0b5d7d09678ab65c431ca7e6f44cef407664bfeaad0fc564", "output_schema_sha256": "0fb770b1938aaa0ccc3fbc75ffcf04311171ef33a53871b941e2481fa2ac0a86", "evidence_sha256": "641be05a9cb20cf2d771a31c66360dc821ef91685ff093ea6a259e952694ced5", "evidence_core_sha256": "641be05a9cb20cf2d771a31c66360dc821ef91685ff093ea6a259e952694ced5", "capability_sha256": "3a699e27f98cdc3f9e019a3624d760c2e105bf95edea41b54d55b458211116ba", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.orifice", "tool_id": "orifice-discharge", "engine": "orifice-discharge", "title": "Orifice discharge", "summary": "Sharp-edged orifice. Tank Q=C_d A √(2gH). Meter Q=C_d E A_t √(2Δp/ρ) with E=1/√(1−β⁴). Not a weir, not Q=Av, not Darcy, not Manning, not compressible ISO ε. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/orifice-discharge", "api": "https://www.calculatorx.com/api/v1/calc/orifice-discharge", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.orifice.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.orifice.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.orifice/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.orifice/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.orifice/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.orifice/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.orifice", "verification": { "tests": { "passed": 15, "total": 15, "golden": 1, "boundary": 9, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 9, "passed": 9 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Sharp-edged orifice; SI; default C_d=0.61", "Tank: Q=C_d A √(2gH); not a weir H^{3/2}", "Meter: Q=C_d E A_t √(2Δp/ρ); incompressible; user C_d; not ISO ε(Re)", "Not weir, not Q=Av, not Darcy, not Manning" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d8551d05b48e99a9d3b08efe16cb0d7e572b0ed5732c51bf4354fb167d7b9803", "output_schema_sha256": "311b9a157e98906228f1cb054519fb02a8930d12413e1aab86cc1ed23351eb8b", "evidence_sha256": "6e232d943ca96320ac0eb1b4a184f9083d1313a9802b6ed26e4b5c68aa5edb2d", "evidence_core_sha256": "6e232d943ca96320ac0eb1b4a184f9083d1313a9802b6ed26e4b5c68aa5edb2d", "capability_sha256": "bf11c9f4559fd84727fbdc877dd98f55890d9cc109078b122d7e941eddc6d9f0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pump", "tool_id": "pump-power", "engine": "pump-power", "title": "Pump power", "summary": "Pump hydraulic and shaft power P_h=ρgQH, P=P_h/η, plus affinity Q∝ND, H∝N²D², P∝N³D³. Not an orifice, not a weir, not Q=Av, not Darcy, not NPSH. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pump-power", "api": "https://www.calculatorx.com/api/v1/calc/pump-power", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pump.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pump.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pump/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pump/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pump/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pump/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pump", "verification": { "tests": { "passed": 16, "total": 16, "golden": 1, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Incompressible pump; P_h = ρ g Q H; P = P_h/η; default ρ=1000 kg/m³; η in (0, 1]", "Affinity: Q∝N D, H∝N² D², P∝N³ D³; geometrically similar; same fluid", "Not orifice, not weir, not Q=Av, not Darcy, not NPSH, not a catalog curve" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "40679a1922b661cf8397d3a0b39f72c7ebe43092725a1f013141b13770d1b535", "output_schema_sha256": "96571cfaaac63c39da0ba12d54717ead1979be93e5717c2f3ddc3da0f21faab0", "evidence_sha256": "72a54758f7f920e23eaf979dc9f24d552e2a8dfe56fc325b90eb10f4922da7b3", "evidence_core_sha256": "72a54758f7f920e23eaf979dc9f24d552e2a8dfe56fc325b90eb10f4922da7b3", "capability_sha256": "659c9b0104b0902c9e4f772ecf6c14cab60a2e9945a841c362b04e643f761411", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.npsh", "tool_id": "npsh", "engine": "npsh", "title": "Net positive suction head", "summary": "NPSH available: open tank (p_atm−p_v)/ρg + z − hf, or suction flange (p_s−p_v)/ρg + v_s²/2g + z_s. Optional NPSHr margin. Not pump power, not orifice, not weir, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/npsh", "api": "https://www.calculatorx.com/api/v1/calc/npsh", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.npsh.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.npsh.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.npsh/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.npsh/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.npsh/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.npsh/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.npsh", "verification": { "tests": { "passed": 14, "total": 14, "golden": 2, "boundary": 7, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "NPSHa = (p_s − p_v)/(ρ g) + v_s²/(2g) + z_s; pressures absolute; SI", "Open tank: p_s=p_atm (default 101325 Pa), z_s=z−hf, v_s=0; hf is an input", "Not pump power, not orifice, not weir, not Q=Av, not Darcy, not a catalog NPSHr curve, not steam p_v(T)" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "4d99adcedf50829825531778ad1444c70c70aea4e5079b77a91f01e7814a4e34", "output_schema_sha256": "38d11ab23ad0d1d705d2d3d584e0fa3b4a702f6486b4eaa3ae638c46b13a9a24", "evidence_sha256": "c61db01d21b11529dcf16c338826ffbc58c36d1ba3e5e3ec53908e9e556401fb", "evidence_core_sha256": "c61db01d21b11529dcf16c338826ffbc58c36d1ba3e5e3ec53908e9e556401fb", "capability_sha256": "15f9e451a847696bb95ac6df0264ff4acc3c6576a26e30656de08382e94e2ac8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.hydraulic_diameter", "tool_id": "hydraulic-diameter", "engine": "hydraulic-diameter", "title": "Hydraulic diameter", "summary": "Hydraulic diameter D_h=4A/P_w. Full circular pipe D_h=D, closed rectangular duct 2ab/(a+b), annulus D_o−D_i. Not Q=Av, not Manning Q, not Reynolds, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/hydraulic-diameter", "api": "https://www.calculatorx.com/api/v1/calc/hydraulic-diameter", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_diameter.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_diameter.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_diameter/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_diameter/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.hydraulic_diameter/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.hydraulic_diameter/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.hydraulic_diameter", "verification": { "tests": { "passed": 15, "total": 15, "golden": 2, "boundary": 8, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "D_h = 4 A / P_w; R = A / P_w = D_h / 4", "Full circular pipe: D_h = D; closed rectangular duct: D_h = 2ab/(a+b); annulus: D_h = D_o − D_i", "Not Q=Av, not Manning Q, not Reynolds, not Darcy, not a weir or orifice" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "0f4da45d859137348ae4dff97662c30d93b356e4bdd6d15d787a1c905890b09c", "output_schema_sha256": "b9a5981e47461877ddac5c3cefe15429a50a835dbd1129ba4016a511616ede31", "evidence_sha256": "3621bfc2a8d9b5dd319363300766d71baa6c5862ea0fe895cea45b418efe4776", "evidence_core_sha256": "3621bfc2a8d9b5dd319363300766d71baa6c5862ea0fe895cea45b418efe4776", "capability_sha256": "c323057e8c4c4f8a7e3cce3a489bdaf1213761a060999470f058a2c68ebcb1db", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.hazen_williams", "tool_id": "hazen-williams", "engine": "hazen-williams", "title": "Hazen–Williams", "summary": "SI Hazen–Williams circular water-pipe head loss hf=10.67 L Q^{1.852}/(C^{1.852} D^{4.87}). Invert Q, D, or C. Not Darcy, not Colebrook, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/hazen-williams", "api": "https://www.calculatorx.com/api/v1/calc/hazen-williams", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.hazen_williams.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.hazen_williams.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hazen_williams/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hazen_williams/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.hazen_williams/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.hazen_williams/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.hazen_williams", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "SI Hazen–Williams: hf = 10.67 L Q^{1.852} / (C^{1.852} D^{4.87})", "Circular full-flow water pipe; empirical C; k=10.67; not US gpm/in", "Not Darcy–Weisbach, not Colebrook, not Manning, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "1ba406f7d6fa954f4e1167326caf3a5e5413a77d4616742d63a9e3e51cf6cb25", "output_schema_sha256": "63a1653c24addc4ac4815a5458b81ac356d07614b73de617595f162be7a86808", "evidence_sha256": "5a76e4a967fab3263c09b323b54968a7b80ec6f85978123f3ccc3e5b4591cb34", "evidence_core_sha256": "5a76e4a967fab3263c09b323b54968a7b80ec6f85978123f3ccc3e5b4591cb34", "capability_sha256": "fbe72d8b1d07d65387534ac078ffaed0f1c7dcc9ec6f832c1a589efa94910804", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.minor_loss", "tool_id": "minor-loss", "engine": "minor-loss", "title": "Minor loss", "summary": "Fitting minor loss h_m=K v²/(2g). Optional Δp=ρ g h_m. Invert K or v. Not Darcy, not Hazen–Williams, not orifice, not Q=Av, not equivalent length. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/minor-loss", "api": "https://www.calculatorx.com/api/v1/calc/minor-loss", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.minor_loss.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.minor_loss.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.minor_loss/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.minor_loss/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.minor_loss/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.minor_loss/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.minor_loss", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Minor loss h_m = K v² / (2g); optional Δp = ρ g h_m", "K is an empirical fitting coefficient; not Darcy f, not equivalent length", "Not Darcy–Weisbach, not Hazen–Williams, not orifice, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "10e1af42f9870bab98a30432cd2130d4b540a9cd8f22704b4a56e1610014d442", "output_schema_sha256": "92bab7e73d2b4fe017c62d582bc2ccffa8ce7b804a5bf0e3b4289528fcaef9e2", "evidence_sha256": "5ab1992b5e45ec097657e468e65f9075a902468bb85b7c8d9e379770290f01fc", "evidence_core_sha256": "5ab1992b5e45ec097657e468e65f9075a902468bb85b7c8d9e379770290f01fc", "capability_sha256": "58b6d1bbd714532fe5ca6f9081effb8a3205ddbb2d7e1f31328023ccceccccab", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.venturi", "tool_id": "venturi", "engine": "venturi", "title": "Venturi meter", "summary": "Incompressible venturi Q=C_d A2 √(2Δp/(ρ(1−β⁴))), β=D2/D1. Default C_d=0.98. Optional same-fluid Δh. Not an orifice wrap, not Q=Av, not Darcy, not Cv/Kv. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/venturi", "api": "https://www.calculatorx.com/api/v1/calc/venturi", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.venturi.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.venturi.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.venturi/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.venturi/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.venturi/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.venturi/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.venturi", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Incompressible venturi: Q = C_d A2 √(2Δp/(ρ(1−β⁴))), β=D2/D1; default C_d=0.98", "Ideal Bernoulli Q_ideal uses C_d=1; optional same-fluid manometer Δh, Δp=ρ g Δh", "Not an orifice plate, not Q=Av, not Darcy, not minor-loss K, not valve Cv/Kv" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c4da2ae37ad4ee5e90b9bbaf74312fe153c1c329d3f98a66377ac11f4d52e539", "output_schema_sha256": "6026cf5a2c5ebcdb14abe4f7f002bc1233ea273c3230da7855d0ad4bd663665c", "evidence_sha256": "8700ad6513c840262466a779164f5ddec810991f10c2512ec3fc24b950d58305", "evidence_core_sha256": "8700ad6513c840262466a779164f5ddec810991f10c2512ec3fc24b950d58305", "capability_sha256": "0760b579c913426955505d8191d4a81fe47b7fc3e85d41182b5dc3eaacca1304", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.valve_cv", "tool_id": "valve-flow-coefficient", "engine": "valve-flow-coefficient", "title": "Valve flow coefficient", "summary": "Incompressible liquid valve Q_m³/h=Kv √(Δp_bar/SG). Kv=0.865 Cv (IEC 60534-1). SI Q in m³/s, Δp in Pa. Not a venturi wrap, not orifice, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/valve-flow-coefficient", "api": "https://www.calculatorx.com/api/v1/calc/valve-flow-coefficient", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.valve_cv.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.valve_cv.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.valve_cv/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.valve_cv/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.valve_cv/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.valve_cv/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.valve_cv", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Incompressible liquid valve: Q_m³/h = Kv √(Δp_bar/SG); Kv = 0.865 Cv (IEC 60534-1)", "SI Q in m³/s, Δp in Pa; default SG=1 (water); not gas, not choked", "Not a venturi, not an orifice, not Q=Av, not Darcy, not minor-loss K" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d38cd4dee167c35753ba3e0e80283228a6156ce20f1427cfb683c53a4380dcf4", "output_schema_sha256": "c10b35f24095413db98c2410feefd666b46121f52b69ec7e99fa3ae235b5a7f2", "evidence_sha256": "2ba2768088838431480f1a4454a94f7228a69673287d3debe1420f69a2252415", "evidence_core_sha256": "2ba2768088838431480f1a4454a94f7228a69673287d3debe1420f69a2252415", "capability_sha256": "79d6d47052aec2353e2e09c526581554f15d5b915df254ea4f019c961ad17bc6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.chezy", "tool_id": "chezy-formula", "engine": "chezy-formula", "title": "Chezy formula", "summary": "Open-channel Chezy V=C √(R S). C is Chezy C, not Manning n, not Hazen–Williams pipe C. Not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/chezy-formula", "api": "https://www.calculatorx.com/api/v1/calc/chezy-formula", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.chezy.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.chezy.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.chezy/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.chezy/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.chezy/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.chezy/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.chezy", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Open-channel Chezy: V = C √(R S); C is Chezy C, not Manning n, not Hazen–Williams C", "Uniform flow; R is hydraulic radius; S is friction slope", "Not Manning, not Q=Av, not Darcy, not Hazen–Williams, not a weir" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "a6e6387fdc8ee3a14e970a5c7fc3d2f5ff2a30befa7ceda00dc9c4df67d82b85", "output_schema_sha256": "d4ba08efdb93225367c70ff8df5625dedd5542f87839814d7348c54a7d929fef", "evidence_sha256": "d63eb290f48c87c37cabbdec66f9d070d6a1fcab7a9cafb292698d1a230df449", "evidence_core_sha256": "d63eb290f48c87c37cabbdec66f9d070d6a1fcab7a9cafb292698d1a230df449", "capability_sha256": "e8592815b5f5070bc710e6c42a5e097e9e69f558c5eac62706d5c1fe95205c24", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pitot", "tool_id": "pitot-tube", "engine": "pitot-tube", "title": "Pitot tube", "summary": "Incompressible pitot-static v=C √(2Δp/ρ). Default C=1. Not a venturi wrap, not orifice, not Q=Av, not two-station Bernoulli. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pitot-tube", "api": "https://www.calculatorx.com/api/v1/calc/pitot-tube", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pitot.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pitot.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pitot/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pitot/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pitot/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pitot/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pitot", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Incompressible pitot-static: v = C √(2 Δp / ρ); default C=1", "Δp is dynamic pressure P0 − P_static; C is a probe coefficient, not orifice C_d", "Not a venturi, not an orifice, not Q=Av, not two-station Bernoulli" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "3d2b0288ca0d60d77024070ce92d740aab36efe992b69c32fa9ac1325e302f69", "output_schema_sha256": "4af43f43f88a42898996fac30d314a3e694e36882c3f34037c80a2dcc17f62b9", "evidence_sha256": "e4326155b799e757435626c356dd0be8bc518a3849509320a4c23f430e248e1e", "evidence_core_sha256": "e4326155b799e757435626c356dd0be8bc518a3849509320a4c23f430e248e1e", "capability_sha256": "4915e2257009b64cc30d21fba51ce25b06fd96571015692f2d855076e000990c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.froude", "tool_id": "froude-number", "engine": "froude-number", "title": "Froude number", "summary": "Open-channel Fr=v/√(gL). Default g=9.80665. Not Reynolds, not Manning, not Chezy, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/froude-number", "api": "https://www.calculatorx.com/api/v1/calc/froude-number", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.froude.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.froude.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.froude/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.froude/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.froude/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.froude/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.froude", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Froude Fr = v / √(g L); default g=9.80665 m/s²", "Free-surface: Fr<1 subcritical, Fr=1 critical, Fr>1 supercritical", "Not Reynolds, not Manning, not Chezy, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "189ae3f2990cafd9678e2682774ffa9f92fc7a4a021cd4dd343e8d3a16c0fc19", "output_schema_sha256": "c7004951fec12c24824226e606ee6ad146d2f14da73873fc8cca776d89796f89", "evidence_sha256": "483430480a8f6c9ba5a6107e8510183bd3d8d54552ffd4930668155645c7067c", "evidence_core_sha256": "483430480a8f6c9ba5a6107e8510183bd3d8d54552ffd4930668155645c7067c", "capability_sha256": "99ff0926ecedea28d05cdb2ce0dd6524dc2b070a9e957b2343e32bf578bf293b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.weber", "tool_id": "weber-number", "engine": "weber-number", "title": "Weber number", "summary": "We=ρv²L/σ. Not Reynolds, not Froude, not Manning, not Q=Av, not capillary Ca=μv/σ. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/weber-number", "api": "https://www.calculatorx.com/api/v1/calc/weber-number", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.weber.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.weber.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.weber/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.weber/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.weber/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.weber/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.weber", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Weber We = ρ v² L / σ", "Inertia vs surface tension; σ is interfacial tension, not viscosity μ", "Not Reynolds, not Froude, not Manning, not Q=Av, not capillary Ca=μv/σ" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "dbd0402b1341841a0462d20864bd331f1575d4d378da72aac7419186b8949152", "output_schema_sha256": "81966cd4b362872892078280aaa2a7adfa38b52de0f3f9cc5ae9eb42981d1e5b", "evidence_sha256": "fa0a44652c8c2f2c7c81a6c63c75ea8d0a799b64923db861f1a6ec424e95507e", "evidence_core_sha256": "fa0a44652c8c2f2c7c81a6c63c75ea8d0a799b64923db861f1a6ec424e95507e", "capability_sha256": "2730a9ec2888e1c4f7b054a9a8c4d72344af25cc82a939278f6c6ab8de9660c9", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.hydraulic_jump", "tool_id": "hydraulic-jump", "engine": "hydraulic-jump", "title": "Hydraulic jump", "summary": "Rectangular sequent depths y2/y1=(√(1+8Fr₁²)−1)/2. Fr₁>1. Not a Froude wrap, not Manning, not a weir, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/hydraulic-jump", "api": "https://www.calculatorx.com/api/v1/calc/hydraulic-jump", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_jump.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_jump.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_jump/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.hydraulic_jump/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.hydraulic_jump/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.hydraulic_jump/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.hydraulic_jump", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Rectangular hydraulic jump: y2/y1 = (√(1+8 Fr₁²) − 1)/2; Fr₁ > 1", "ΔE = (y2 − y1)³ / (4 y1 y2); Fr₂ = Fr₁ / (y2/y1)^{3/2}", "Not a Froude wrap, not Manning, not Chezy, not a weir, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "9c041efc9c0f603cf0325801f10b8f90e03e49ef0f7fa74f39df5593b1e6ce4f", "output_schema_sha256": "292f0bd466be0e5ea6c0ecf6289c63deeafed233e31469d519403ce700c6e9ab", "evidence_sha256": "f06581fcf1d879c1db89a0042bd6933bf6eb2988037a01c98a76d1a6d497a1fe", "evidence_core_sha256": "f06581fcf1d879c1db89a0042bd6933bf6eb2988037a01c98a76d1a6d497a1fe", "capability_sha256": "e98a41ceacd2430cb8363abe50a2d5c3905a025a7e3fdd5b069cefbba205ca6f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.poiseuille", "tool_id": "hagen-poiseuille", "engine": "hagen-poiseuille", "title": "Hagen–Poiseuille", "summary": "Laminar circular-pipe Q=πΔpD⁴/(128μL). Not Darcy f, not Colebrook, not Q=Av, not Manning. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/hagen-poiseuille", "api": "https://www.calculatorx.com/api/v1/calc/hagen-poiseuille", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.poiseuille.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.poiseuille.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.poiseuille/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.poiseuille/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.poiseuille/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.poiseuille/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.poiseuille", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Laminar Hagen–Poiseuille: Q = π Δp D⁴ / (128 μ L); circular, fully developed, Newtonian", "Mean speed v = 4Q/(π D²) is reported, not an input", "Not Darcy f, not Colebrook, not Q=Av, not Manning" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "33225c3bfe160c9613a783ce6d8b8126dee629ea35f436e39397562555e05cba", "output_schema_sha256": "fcc12ab2170b5c0db3532ef56c7294cbf991dbcf2f6951f04fc7ed080562b400", "evidence_sha256": "ffa092c758e6ae1097fe42286f14a55c821e8123d6e7fe9505788808336dbec8", "evidence_core_sha256": "ffa092c758e6ae1097fe42286f14a55c821e8123d6e7fe9505788808336dbec8", "capability_sha256": "c23b3c8d602393baee9d5d6cf93f7ae80fc7797ee7f9b4f79f1c8f9755baf7c1", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.specific_energy", "tool_id": "specific-energy", "engine": "specific-energy", "title": "Specific energy", "summary": "Open-channel E=y+v²/(2g). Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/specific-energy", "api": "https://www.calculatorx.com/api/v1/calc/specific-energy", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.specific_energy.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.specific_energy.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.specific_energy/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.specific_energy/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.specific_energy/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.specific_energy/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.specific_energy", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Open-channel specific energy: E = y + v² / (2g); default g=9.80665 m/s²", "Invert y = E − v²/(2g) and v = √(2g(E−y)); require E > y", "Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "99ebbe504852be356d8b50c68278b5b8319290c28246f89d3c685bff1f06b3e8", "output_schema_sha256": "b5c373af8cd3ad35d3f0c9733ef549cdd4447de617b080b2841b4838f24ec341", "evidence_sha256": "9850ec1bcde7660e68440363fd0d5aad1562ca749aa5742cb01ff2a507e897af", "evidence_core_sha256": "9850ec1bcde7660e68440363fd0d5aad1562ca749aa5742cb01ff2a507e897af", "capability_sha256": "0a89f1a6f44690bcf40c078e30e231e83e2129182941a7f97b54d289beeef892", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.critical_depth", "tool_id": "critical-depth", "engine": "critical-depth", "title": "Critical depth", "summary": "Rectangular yc=(q²/g)^{1/3}. Not a Froude wrap, not specific energy, not a hydraulic jump, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/critical-depth", "api": "https://www.calculatorx.com/api/v1/calc/critical-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.critical_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.critical_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.critical_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.critical_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.critical_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.critical_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.critical_depth", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Rectangular critical depth: yc = (q²/g)^{1/3}; q = Q/b; default g=9.80665 m/s²", "Critical speed vc = √(g yc) is reported, not an input; Fr=1 is the definition, not a Froude wrap", "Not a Froude wrap, not specific energy E, not a hydraulic jump, not Manning, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d49a2eacfe2366fc685869d86c01f1c37d7dd297fd06351f4d8e2465063279d7", "output_schema_sha256": "abecc9666596c2b02a611a9636356763de9935f68c5547102e1c88f40ad8703e", "evidence_sha256": "acdd687a6e1b20e68c4a022bf7fc863763b8617c6bcf09775510486312cd2596", "evidence_core_sha256": "acdd687a6e1b20e68c4a022bf7fc863763b8617c6bcf09775510486312cd2596", "capability_sha256": "057273bf6d8683ac923f965a98744312212bf4c171d2efff73f298f677dbd371", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.water_hammer", "tool_id": "water-hammer", "engine": "water-hammer", "title": "Water hammer", "summary": "Joukowsky Δp=ρcΔv. Not Darcy f, not minor-loss K, not Moens–Korteweg, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/water-hammer", "api": "https://www.calculatorx.com/api/v1/calc/water-hammer", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.water_hammer.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.water_hammer.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.water_hammer/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.water_hammer/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.water_hammer/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.water_hammer/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.water_hammer", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Joukowsky water hammer: Δp = ρ c Δv; h = Δp/(ρ g); default ρ=1000 kg/m³; default g=9.80665 m/s²", "c is the given celerity, not Moens–Korteweg from bulk modulus K, D, e, E", "Not Darcy f, not Colebrook, not minor-loss K, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "316c31fd08bed589e6ee4bcb648c719e32eab3bc355546ee6346828e8c13e71a", "output_schema_sha256": "153e5d1a248cdfcd527793193daf0c77f323ac6a061abc9315bbb16fa2ed500a", "evidence_sha256": "0486d2ea5ec28c2a9f49859aba9f6de9e99bb229a9094f7ef7fdbb5009afd415", "evidence_core_sha256": "0486d2ea5ec28c2a9f49859aba9f6de9e99bb229a9094f7ef7fdbb5009afd415", "capability_sha256": "5b9883e79e973f2a7d5d5e45d9ff3dcfec9d030b1aab67e12eac602d4f17d1b8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.wave_celerity", "tool_id": "wave-celerity", "engine": "wave-celerity", "title": "Wave celerity", "summary": "Korteweg–Hall c=√[(K/ρ)/(1+(K D)/(E e))]. Not Joukowsky Δp, not Darcy f, not minor-loss K, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/wave-celerity", "api": "https://www.calculatorx.com/api/v1/calc/wave-celerity", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.wave_celerity.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.wave_celerity.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.wave_celerity/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.wave_celerity/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.wave_celerity/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.wave_celerity/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.wave_celerity", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Korteweg–Hall wave celerity: c = √[(K/ρ)/(1+(K D)/(E e))]; default ρ=1000 kg/m³; thin wall; ψ=1", "K is fluid bulk modulus, E is wall Young’s modulus; not Joukowsky Δp=ρcΔv", "Not Darcy f, not minor-loss K, not Q=Av, not Y=(F/A)/(ΔL/L0)" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "170f5f6153b30b6c2ac8890c7d6a80a829c63648e01a33577749fcbdb3e956e1", "output_schema_sha256": "bf10f686d6e3d6fcf12c21db54d403315ed02b988a7d91539fd42536bf19218a", "evidence_sha256": "0855be69ea475d4b8ce039581183ee2ff888d52474095f3ac09273eb80718763", "evidence_core_sha256": "0855be69ea475d4b8ce039581183ee2ff888d52474095f3ac09273eb80718763", "capability_sha256": "550dfa2d6321139083fe365b26d0ef76c8f06204b2d7d1a511f423101d89999e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_period", "tool_id": "pipe-period", "engine": "pipe-period", "title": "Pipe period", "summary": "T=2L/c. Not Joukowsky Δp, not Korteweg–Hall c from K/D/e/E, not Darcy f, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-period", "api": "https://www.calculatorx.com/api/v1/calc/pipe-period", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_period.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_period.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_period/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_period/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_period/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_period/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_period", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Pipe period T = 2L/c; c is a given celerity, not Korteweg–Hall from K, D, e, E", "Sudden-closure Joukowsky applies when valve time t < T; this page computes T, not Δp", "Not Joukowsky Δp=ρcΔv, not Darcy f, not minor-loss K, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "05e862ab69bd0cb053abfca638facaeb7ab4364ecbe8f338e41661f730c84f84", "output_schema_sha256": "b2002570db2389a561efde18dfc6f856fd07b2b76bd4d8f5e1c0c691decb5f77", "evidence_sha256": "6c1ad4d4a39657e3b019890ae047d6ce5ed83abab9d79e24344c3580d56b9dbe", "evidence_core_sha256": "6c1ad4d4a39657e3b019890ae047d6ce5ed83abab9d79e24344c3580d56b9dbe", "capability_sha256": "d58e5faf1fe6ad98ecc66bf52ad940f13d514f793a91a243fc51a5cbfed2dceb", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.cavitation", "tool_id": "cavitation-number", "engine": "cavitation-number", "title": "Cavitation number", "summary": "σ=(p−p_v)/(½ρv²). Not NPSH, not Thoma NPSH/H, not Weber, not Euler Eu=Δp/(ρv²). (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/cavitation-number", "api": "https://www.calculatorx.com/api/v1/calc/cavitation-number", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.cavitation.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.cavitation.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.cavitation/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.cavitation/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.cavitation/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.cavitation/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.cavitation", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Cavitation number σ = (p − p_v) / (½ ρ v²); default ρ=1000 kg/m³; p and p_v absolute Pa", "Not NPSH head, not Thoma σ_Th=NPSH/H, not Weber We=ρv²L/σ, not Euler Eu=Δp/(ρ v²)", "Not Reynolds, not capillary Ca=μv/σ, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "795dfff7a79de93cdcd92535f6e6e8f07209e56ed5c2831270aa10f8f8ca175c", "output_schema_sha256": "d479c5fa0300f2187cb9e7753be40e05cba41ee98001875e9659d2cc1f2a611d", "evidence_sha256": "a6cd1f65b56609f4c22d63a9c6abddcfa9aee5f2e25c20d101f7ce33996963d5", "evidence_core_sha256": "a6cd1f65b56609f4c22d63a9c6abddcfa9aee5f2e25c20d101f7ce33996963d5", "capability_sha256": "2928c6112b70a5ad3a6d2ea8d57481b876f33571ef56874dd531fe9c811b2b6e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.sudden_expansion", "tool_id": "sudden-expansion", "engine": "sudden-expansion", "title": "Sudden expansion", "summary": "Borda–Carnot h=(v1−v2)²/(2g). Not minor-loss K given, not Darcy f, not orifice C_d, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/sudden-expansion", "api": "https://www.calculatorx.com/api/v1/calc/sudden-expansion", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.sudden_expansion.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.sudden_expansion.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sudden_expansion/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sudden_expansion/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.sudden_expansion/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.sudden_expansion/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.sudden_expansion", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Borda–Carnot sudden expansion: h = (v1 − v2)² / (2g); K = (1 − v2/v1)² is reported, not an input", "Default g=9.80665 m/s²; default ρ=1000 kg/m³ for Δp = ρ (v1−v2)² / 2; incompressible; A2 > A1", "Not minor-loss K given, not Darcy f, not orifice C_d, not Q=Av, not sudden contraction" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "6b4add58c2c638c72023661506e208ca320a2665b10653cfa4bef0ef7649e818", "output_schema_sha256": "2b412c3601a14f099631871122ccefdfbe139c14612db66c6edae1af4d8dbe07", "evidence_sha256": "97543bce2f4172e1e8589fdc3b0c83ebb68353f01e96ac0a4f0e0df47f740bb3", "evidence_core_sha256": "97543bce2f4172e1e8589fdc3b0c83ebb68353f01e96ac0a4f0e0df47f740bb3", "capability_sha256": "e9e34d604b88c1784a156f0b3a98195a72ff8f40d95273053a82ea94e3bfdb2b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.sudden_contraction", "tool_id": "sudden-contraction", "engine": "sudden-contraction", "title": "Sudden contraction", "summary": "Vena-contracta h=(1/C_c−1)² v2²/(2g). Default C_c=0.62. Not expansion (v1−v2)², not minor-loss K given, not orifice C_d, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/sudden-contraction", "api": "https://www.calculatorx.com/api/v1/calc/sudden-contraction", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.sudden_contraction.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.sudden_contraction.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sudden_contraction/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sudden_contraction/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.sudden_contraction/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.sudden_contraction/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.sudden_contraction", "verification": { "tests": { "passed": 18, "total": 18, "golden": 2, "boundary": 11, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 18, "passed": 18, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 11, "passed": 11 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Vena-contracta sudden contraction: h = (1/C_c − 1)² v2² / (2g); default C_c=0.62; K is reported, not an input", "Default g=9.80665 m/s²; default ρ=1000 kg/m³ for Δp = ρ K v2² / 2; incompressible; C_c in (0, 1)", "Not sudden expansion (v1−v2)², not minor-loss K given, not Darcy f, not orifice C_d, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c8e7d066fe9ad79411d7dd0eb1797f4712db8dfefacf2a586d0c84982fa4bab3", "output_schema_sha256": "b382e01ba9f7fd69ef970411279d86fce3fd94cb0e0d2a5999ca66d743cb1f7b", "evidence_sha256": "258a8c299f25c34c31decd4812bcc1366d7272966097781cac2923baf60b0f14", "evidence_core_sha256": "258a8c299f25c34c31decd4812bcc1366d7272966097781cac2923baf60b0f14", "capability_sha256": "ab36580ad03cad9967ea23ebc578c471ae17ddd0f1b9810c4fbd6da2c9e0993e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.gradual_expansion", "tool_id": "gradual-expansion", "engine": "gradual-expansion", "title": "Gradual expansion", "summary": "Conical diffuser h=k(v1−v2)²/(2g), k=2.6 sin(α). Not sudden expansion, not minor-loss K given, not orifice C_d, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/gradual-expansion", "api": "https://www.calculatorx.com/api/v1/calc/gradual-expansion", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.gradual_expansion.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.gradual_expansion.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.gradual_expansion/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.gradual_expansion/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.gradual_expansion/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.gradual_expansion/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.gradual_expansion", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Conical diffuser: h = k (v1 − v2)² / (2g); k = 2.6 sin(α); α is wall half-angle; k and K are reported, not inputs", "Require 0 < α < arcsin(1/2.6); k=1 is sudden expansion, not this page; default g=9.80665; default ρ=1000 for Δp", "Not sudden expansion, not minor-loss K given, not Darcy f, not orifice C_d, not Q=Av, not sudden contraction" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "3343f36611e246e78f963441cd8cb077cf63ed1a0f7a1716f15117fac3115b1b", "output_schema_sha256": "c4249f3a8baad1d127ea38a8d6447982b95d1d2a1501f9f1c0163590d36a0672", "evidence_sha256": "75d84b2496275fafec87aa131b4b43bb10371b6bfa969fccadc5a5d3fbfcba54", "evidence_core_sha256": "75d84b2496275fafec87aa131b4b43bb10371b6bfa969fccadc5a5d3fbfcba54", "capability_sha256": "30d4112021317d61df1cf66e67c6aa60bacc9ae7e040b49d027a0598c9b70558", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.gradual_contraction", "tool_id": "gradual-contraction", "engine": "gradual-contraction", "title": "Gradual contraction", "summary": "Conical contraction h=K v2²/(2g), K=0.5 sin(α)(1−v1/v2). Not sudden contraction, not gradual expansion, not minor-loss K given, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/gradual-contraction", "api": "https://www.calculatorx.com/api/v1/calc/gradual-contraction", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.gradual_contraction.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.gradual_contraction.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.gradual_contraction/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.gradual_contraction/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.gradual_contraction/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.gradual_contraction/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.gradual_contraction", "verification": { "tests": { "passed": 17, "total": 17, "golden": 2, "boundary": 10, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 17, "passed": 17, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Conical contraction: h = K v2² / (2g); K = 0.5 sin(α) (1 − v1/v2); α is wall half-angle; k and K are reported, not inputs", "Require 0 < α < 90°; α=90° is sudden contraction, not this page; default g=9.80665; default ρ=1000 for Δp; v2 > v1", "Not sudden contraction (C_c), not gradual expansion (v1−v2)², not minor-loss K given, not Darcy f, not orifice C_d, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "0a98a436c7ed1874662c57bbc57d7b0c8b8ea185ac938829de8b6e4821ae7cf2", "output_schema_sha256": "be306b8b13ebad159fcb431f1d9ba3cdfacf9249ee684ec496d558e55a43da25", "evidence_sha256": "91ac9a037050ce0fe77adf78b8c77b7bede3b66b93dfe08be6e15b31cb61bca6", "evidence_core_sha256": "91ac9a037050ce0fe77adf78b8c77b7bede3b66b93dfe08be6e15b31cb61bca6", "capability_sha256": "000e15f6a94c7c6039ac9c92b3c9493d111c880e6d114715affd18e597ede4e0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_bend", "tool_id": "pipe-bend", "engine": "pipe-bend", "title": "Pipe bend", "summary": "Circular-arc bend h=K v²/(2g), K=0.21 (θ/90)/√(R/D). Not minor-loss K given, not mitered, not Darcy, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-bend", "api": "https://www.calculatorx.com/api/v1/calc/pipe-bend", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_bend.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_bend.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_bend/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_bend/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_bend/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_bend/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_bend", "verification": { "tests": { "passed": 16, "total": 16, "golden": 2, "boundary": 9, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 9, "passed": 9 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Circular-arc bend: h = K v² / (2g); K = 0.21 (θ/90)/√(R/D); Idelchik 90° B1 scaled linearly in θ; K is reported, not an input", "Require 0 < θ ≤ 180° and R/D ≥ 1; default g=9.80665; default ρ=1000 for Δp; incompressible", "Not minor-loss K given, not mitered R/D<1, not Darcy f, not orifice C_d, not Q=Av, not gradual contraction α" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "0a606d661a87c0430fd19f9ebfdf04cfaf9876fddb36b89502d46cc2be165fdc", "output_schema_sha256": "681ddc07cc28c0117dd7903081532861b726d1148827ae55f89b68e05db3c92c", "evidence_sha256": "6616a3a58feae9ce99c7d995fc90de7b90380c77b17a421e7e97fbe29102fa85", "evidence_core_sha256": "6616a3a58feae9ce99c7d995fc90de7b90380c77b17a421e7e97fbe29102fa85", "capability_sha256": "6d50cced34384fa0757855d1af7ede9c9c3d0aa2fb2ee3f1ccb28641c4c4b965", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.mitered_bend", "tool_id": "mitered-bend", "engine": "mitered-bend", "title": "Mitered bend", "summary": "Sharp miter h=K v²/(2g), K=n [sin²(δ/2)+2 sin⁴(δ/2)], δ=θ/n. Not circular-arc R/D, not minor-loss K given, not Crane f_T, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/mitered-bend", "api": "https://www.calculatorx.com/api/v1/calc/mitered-bend", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.mitered_bend.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.mitered_bend.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.mitered_bend/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.mitered_bend/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.mitered_bend/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.mitered_bend/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.mitered_bend", "verification": { "tests": { "passed": 15, "total": 15, "golden": 2, "boundary": 8, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Sharp segmented miter: h = K v² / (2g); K = n [sin²(δ/2) + 2 sin⁴(δ/2)], δ = θ/n; K is reported, not an input", "Require n ≥ 1 integer, 0 < θ ≤ 180°, and each miter δ ≤ 90° (n=1 therefore θ ≤ 90°); default g=9.80665; default ρ=1000 for Δp; incompressible", "Not circular-arc R/D, not minor-loss K given, not Crane f_T, not Darcy f, not orifice C_d, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "2a585ff14b0fb55cb0fca1fbcb79a7b0a1bf7878c9933b4ae746e820b325be78", "output_schema_sha256": "dcdb1f5772e168f21be9b20a55b03a3221938604bcfd7843f5c05b99e5cc2528", "evidence_sha256": "806eff9f2869f3285b219e7d18442ebe759ab4d2a5aca85c8d81004e17d95076", "evidence_core_sha256": "806eff9f2869f3285b219e7d18442ebe759ab4d2a5aca85c8d81004e17d95076", "capability_sha256": "54939387700627cbdbc08ab64bdc3b53b0bfc52efea6a03e973464ff4bedff75", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_entrance", "tool_id": "pipe-entrance", "engine": "pipe-entrance", "title": "Pipe entrance", "summary": "Geometric inlet h=K v²/(2g): flush K=0.5, reentrant K=0.8, rounded K=0.5/[1+36(rᵢ/D)^1.2]. Not catalog K, not circular-arc R/D, not mitered n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-entrance", "api": "https://www.calculatorx.com/api/v1/calc/pipe-entrance", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_entrance.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_entrance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_entrance/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_entrance/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_entrance/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_entrance/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_entrance", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Geometric pipe inlet: h = K v² / (2g); flush K=0.5, reentrant K=0.8, rounded K=0.5/[1+36(rᵢ/D)^1.2]; K is reported, not an input", "Require kind flush|reentrant|rounded; rounded needs 0 < rᵢ/D ≤ 1; default g=9.80665; default ρ=1000 for Δp; incompressible; from a large reservoir", "Not catalog minor-loss K given, not circular-arc R/D, not mitered n, not Darcy f, not orifice C_d, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "66af4e772b5ed65950ce6e8283822bab6a7f57f7b7306dede64bf41b853707ce", "output_schema_sha256": "8de4af1549910a5dfae4131047c13eaa8d0e8c471d00b2ded89c8bee8f00351f", "evidence_sha256": "a492b4bb9c173e8beda3bc2567b35a90f78809e15fb349bc8703f6f687a70990", "evidence_core_sha256": "a492b4bb9c173e8beda3bc2567b35a90f78809e15fb349bc8703f6f687a70990", "capability_sha256": "d9697df68eb983dd14379911c4c743729b94aeb98b6991cac858363b49688aa0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_exit", "tool_id": "pipe-exit", "engine": "pipe-exit", "title": "Pipe exit", "summary": "Pipe into a large reservoir h=K v²/(2g) with K=1. Not catalog K, not pipe-entrance geometry, not sudden expansion (v1−v2)², not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-exit", "api": "https://www.calculatorx.com/api/v1/calc/pipe-exit", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_exit.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_exit.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_exit/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_exit/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_exit/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_exit/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_exit", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Pipe exit into a large reservoir: h = K v² / (2g) with K=1; kinetic energy is dissipated; K is reported, not an input", "Default g=9.80665; default ρ=1000 for Δp; incompressible; one mean speed in the pipe; exit geometry does not change K", "Not catalog minor-loss K given, not pipe-entrance flush/reentrant/rounded, not sudden expansion (v1−v2)², not Darcy f, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f5ff205517941fe295fc8b8b592b7f88ca6fec912c6e86fbc18dec72b8c93b0a", "output_schema_sha256": "67f6973f229bcefc3a4a0870756b6bca28713d64dc6d247b14a760048cf56e2a", "evidence_sha256": "4cf85f59d8e66b61ac18b474cc94a867b348b510a74ce3ffc000ba09505b8406", "evidence_core_sha256": "4cf85f59d8e66b61ac18b474cc94a867b348b510a74ce3ffc000ba09505b8406", "capability_sha256": "0b21d8e11fa08ca5047f6a21faa73c3b45a2b031cfdc6cdfd96405ec2c6712e0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_tee", "tool_id": "pipe-tee", "engine": "pipe-tee", "title": "Pipe tee", "summary": "Equal-area sharp 90° T h=K v_c²/(2g) from dividing/combining and branch/run split. Not catalog K, not circular-arc, not mitered, not entrance/exit, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-tee", "api": "https://www.calculatorx.com/api/v1/calc/pipe-tee", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_tee.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_tee.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_tee/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_tee/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_tee/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_tee/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_tee", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Equal-area sharp 90° T: h = K v_c² / (2g); K referenced to common-channel speed; K is reported, not an input", "Dividing: branch K=1+q², run K=0.4(1−q)². Combining: branch K=1+q², run K=1.55q−q². q=Q_path/Q_c in [0,1]; default g=9.80665; default ρ=1000 for Δp", "Not catalog minor-loss K given, not circular-arc R/D, not mitered n, not pipe-entrance geometry, not pipe-exit K=1, not a non-90° wye, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "3ed3522dc1f7f22a7988da7fe9016a7b55f737bdb09ece9cd2468d3111d1859f", "output_schema_sha256": "fb05c5560318d746eabf56a4fd2799c910f65c7f3cf7af0844862fa41923ce91", "evidence_sha256": "d1b055ca9592cfc4e8c5d29f8597bd67be142736a82f9afea235736de6a219b2", "evidence_core_sha256": "d1b055ca9592cfc4e8c5d29f8597bd67be142736a82f9afea235736de6a219b2", "capability_sha256": "7e559fa82a2a5e3525297e7d606ef32347a4056e770b396443eff91c2907a837", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_wye", "tool_id": "pipe-wye", "engine": "pipe-wye", "title": "Pipe wye", "summary": "Equal-area sharp wye h=K v_c²/(2g) from α∈(0,90°), dividing/combining, and branch/run split. Not a 90° tee, not catalog K, not circular-arc, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-wye", "api": "https://www.calculatorx.com/api/v1/calc/pipe-wye", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_wye.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_wye.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_wye/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_wye/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_wye/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_wye/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_wye", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Equal-area sharp wye: h = K v_c² / (2g); K referenced to common-channel speed; α ∈ (0, 90°); K is reported, not an input", "Branch K=1+q²−2q cos α. Dividing run K=0.4(1−q)². Combining run K=1−q²−2q(1−q)cos α. q=Q_path/Q_c in [0,1]; default g=9.80665; default ρ=1000 for Δp", "Not a 90° tee, not catalog minor-loss K given, not circular-arc R/D, not mitered n, not pipe-entrance geometry, not pipe-exit K=1, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "e9eeadaff4dcae28fd88a8b7d595639bb3d9cd6ff8eba7bf63e2f9db2ce621bb", "output_schema_sha256": "f2c63780fb2cf7059dcc3ae3f0f0f392d09da8d392126a9caab953afc1d8bf67", "evidence_sha256": "459a73b9cd2fe0683a9ab5eec1e259e33114cb4ec53867b648d344e3e06b5d20", "evidence_core_sha256": "459a73b9cd2fe0683a9ab5eec1e259e33114cb4ec53867b648d344e3e06b5d20", "capability_sha256": "a9a13969ec0905f37539e543552cebf7f4dd9f9d854dfa690c4322ea0bd8f47c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.pipe_cross", "tool_id": "pipe-cross", "engine": "pipe-cross", "title": "Pipe cross", "summary": "Equal-area sharp 90° four-way h=K v_c²/(2g) from dividing/combining and branch/through split with equal opposite laterals. Not a 90° tee, not a wye, not catalog K, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/pipe-cross", "api": "https://www.calculatorx.com/api/v1/calc/pipe-cross", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.pipe_cross.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.pipe_cross.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_cross/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.pipe_cross/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.pipe_cross/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.pipe_cross/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.pipe_cross", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Equal-area sharp 90° four-way cross: h = K v_c² / (2g); K referenced to common-channel speed; two opposite laterals are equal; K is reported, not an input", "Dividing: branch K=(1+q)², run K=0.4(1−q)². Combining: branch K=1+q²−4(1−2q)²/(2−q), run K=1+q²−q²/[1+q(0.75+0.25q)²]. Branch q≤0.5; default g=9.80665; default ρ=1000 for Δp", "Not a 90° tee, not a non-90° wye, not catalog minor-loss K given, not circular-arc R/D, not mitered n, not pipe-entrance geometry, not pipe-exit K=1, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "e09751c8657bf28592452d5c79cc9837052f643e13a3ab812859d276cc9fd736", "output_schema_sha256": "55b6d41a7aff16b41155d013448caca5c0c9854e5ea875eca171a36b56b01ada", "evidence_sha256": "0732939124c472e4559148475af732a80460ef0be39d0a1dbd3ae7d722f19334", "evidence_core_sha256": "0732939124c472e4559148475af732a80460ef0be39d0a1dbd3ae7d722f19334", "capability_sha256": "fc899e1074c9906c2a88690c03a63cd4c0f53e965687a809f15dac80bf83b3a5", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.concentric_reducer", "tool_id": "concentric-reducer", "engine": "concentric-reducer", "title": "Concentric reducer", "summary": "Area-ratio reducer h=K v₂²/(2g) with K=0.5(1−A₂/A₁) referenced to downstream speed. Not sudden expansion, not gradual contraction α, not C_c, not catalog K, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/concentric-reducer", "api": "https://www.calculatorx.com/api/v1/calc/concentric-reducer", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.concentric_reducer.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.concentric_reducer.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.concentric_reducer/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.concentric_reducer/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.concentric_reducer/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.concentric_reducer/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.concentric_reducer", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Concentric reducer: h = K v₂² / (2g); K = 0.5 (1 − A₂/A₁); K referenced to downstream speed; K is reported, not an input", "A₂/A₁ in (0, 1); default g=9.80665; default ρ=1000 for Δp; incompressible; geometry from area_ratio or A1+A2 or D1+D2", "Not sudden expansion (v1−v2)², not gradual contraction α, not vena-contracta C_c, not catalog minor-loss K given, not a four-way cross, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "4de7933ae44ef93289fdd4a502783dd2a4e17dead2f8209d7f01dd2a36de2435", "output_schema_sha256": "658188bba055812aea650f2c22cc7fe94e8ab6189a8b1f07f1e1b952e4f4e79a", "evidence_sha256": "f28592f445a1d92e01bfc8bb978bec8c5f58d782e6af459b3ca66cb28a52eb27", "evidence_core_sha256": "f28592f445a1d92e01bfc8bb978bec8c5f58d782e6af459b3ca66cb28a52eb27", "capability_sha256": "abe381ca1682fecbe2779d26e92e573c7a2d62c68ac8e6130d69605d75873b4e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.iso_nozzle", "tool_id": "iso-nozzle", "engine": "iso-nozzle", "title": "ISO 5167 nozzle", "summary": "ISO 5167-3 ISA 1932 nozzle Q=C E A2 √(2Δp/ρ) with C from β and Re_D. Not a venturi wrap with C_d=0.98, not orifice C_d=0.61, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/iso-nozzle", "api": "https://www.calculatorx.com/api/v1/calc/iso-nozzle", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.iso_nozzle/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.iso_nozzle/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.iso_nozzle", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-3 ISA 1932 nozzle: Q = C E A2 √(2Δp/ρ); C from β and Re_D; incompressible ε=1; C is reported, not an input", "C = 0.9900 − 0.2262 β^4.1 − (0.00175 β² − 0.0033 β^4.15)(10^6/Re_D)^1.15; β∈[0.30,0.80]; Re_D∈[7e4,1e7]; D≥50 mm", "Not a venturi wrap with given C_d=0.98, not orifice C_d=0.61, not Q=Av, not Darcy f, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "2d4dbd4962baab84aaf88c1e9a47004e26093e47228fe0815f1d4875e02202b3", "output_schema_sha256": "658dac1761c1fd399b88615c8c8bd3133e81eaee27c6ced4e511c8f3cacc9560", "evidence_sha256": "a02fb6aa03d66149d696cb338e77a0f46575cdc75265a10482cad689a756295e", "evidence_core_sha256": "a02fb6aa03d66149d696cb338e77a0f46575cdc75265a10482cad689a756295e", "capability_sha256": "2fa2bff409ab2445b8ea3248da4aa4c5ff01c0a687469c6871dd18350882be1a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.iso_orifice", "tool_id": "iso-orifice", "engine": "iso-orifice", "title": "ISO 5167 orifice plate", "summary": "ISO 5167-2 orifice plate Q=C E A2 √(2Δp/ρ) with Reader–Harris/Gallagher C from β, Re_D, and tapping. Not tank orifice C_d A √(2gH), not given C_d=0.61, not ISA 1932, not venturi C_d=0.98, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/iso-orifice", "api": "https://www.calculatorx.com/api/v1/calc/iso-orifice", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.iso_orifice.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.iso_orifice.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_orifice/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_orifice/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.iso_orifice/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.iso_orifice/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.iso_orifice", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-2 orifice plate: Q = C E A2 √(2Δp/ρ); Reader–Harris/Gallagher C from β, Re_D, and tapping; incompressible ε=1; C is reported, not an input", "Corner tappings default (L1=L2′=0); flange L1=L2′=25.4 mm/D; β∈[0.10,0.75]; D∈[50 mm,1000 mm]; d≥12.5 mm; Re_D≥5000 (β≤0.56) or 16000 β² (β>0.56)", "Not tank orifice C_d A √(2gH), not given C_d=0.61, not ISA 1932 nozzle, not venturi C_d=0.98, not Q=Av, not Darcy f, not D-D/2 tappings, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c9462a4c1c1376534bbaf2cdbd8f8ec817236e1cd273f3ca8fa15ce7de8d8b74", "output_schema_sha256": "dacf3ff824d8880071f305497bb66908c4a2ab53df0e3ee608c512df9dab4336", "evidence_sha256": "1ed0232f8e3b537efc922100ae66511090cf0d00c78cb6df6632d524d0ff91c4", "evidence_core_sha256": "1ed0232f8e3b537efc922100ae66511090cf0d00c78cb6df6632d524d0ff91c4", "capability_sha256": "cc87338708f4847c53427588b1dd8797e7086896a1bc9b90437a4ed096957efb", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.iso_venturi", "tool_id": "iso-venturi", "engine": "iso-venturi", "title": "ISO 5167 Venturi tube", "summary": "ISO 5167-4 classical Venturi tube Q=C E A2 √(2Δp/ρ) with C from convergent type. Not given C_d=0.98, not ISA 1932, not RHG orifice, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/iso-venturi", "api": "https://www.calculatorx.com/api/v1/calc/iso-venturi", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.iso_venturi.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.iso_venturi.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_venturi/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_venturi/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.iso_venturi/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.iso_venturi/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.iso_venturi", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-4 classical Venturi tube: Q = C E A2 √(2Δp/ρ); C from convergent type; β and Re_D bound the ISO envelope; incompressible ε=1; C is reported, not an input", "Machined C=0.995, D∈[50 mm,250 mm], β∈[0.40,0.75], Re_D∈[2e5,1e6]. Rough-welded C=0.985. As-cast C=0.984", "Not a given C_d=0.98, not ISA 1932 nozzle, not RHG orifice, not Q=Av, not Darcy f, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "34a7b4bf9eb9c529cbb3db84c9b95e6110b6022113413870dc19c1bb59511405", "output_schema_sha256": "1c709535e6fb11daae178a62b27d70707d7f345f9425433bb407c903ae709632", "evidence_sha256": "7b24a9b25fe9743a9bb86fdf40663574c073e87da5fd8878a8999efd4505bf89", "evidence_core_sha256": "7b24a9b25fe9743a9bb86fdf40663574c073e87da5fd8878a8999efd4505bf89", "capability_sha256": "c87199fbd909352a901e89b1f73e7a5d7da52f9e18329186d22b81c98d4a8fa0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.long_radius_nozzle", "tool_id": "long-radius-nozzle", "engine": "long-radius-nozzle", "title": "ISO 5167 long-radius nozzle", "summary": "ISO 5167-3 long-radius nozzle Q=C E A2 √(2Δp/ρ) with C=0.9965−0.00653 β^{0.5}. Not ISA 1932, not given C_d=0.98, not RHG orifice, not ISO 5167-4 type C, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/long-radius-nozzle", "api": "https://www.calculatorx.com/api/v1/calc/long-radius-nozzle", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.long_radius_nozzle.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.long_radius_nozzle.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.long_radius_nozzle/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.long_radius_nozzle/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.long_radius_nozzle/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.long_radius_nozzle/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.long_radius_nozzle", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-3 long-radius nozzle: Q = C E A2 √(2Δp/ρ); C = 0.9965 − 0.00653 β^{0.5}; incompressible ε=1; C is reported, not an input", "C from β, not Re_D; Re_D∈[1e4,1e7] is the ISO envelope; β∈[0.20,0.80]; D∈[50 mm, 630 mm]", "Not ISA 1932 C(β,Re), not given C_d=0.98, not RHG orifice, not ISO 5167-4 type C, not Q=Av, not Darcy f, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "dd6f154a970456e052db12f8e4d9185c69ce255cb185d85ad764596c98605c15", "output_schema_sha256": "e1ece152967fcac4c131ec4208f7bbab8d1b43815b0bf3306ab90d6cf94a05f1", "evidence_sha256": "ffc35dc4e78c29f64b1beec1e3295412a20c15d455b81ecd61a84ba3979b2598", "evidence_core_sha256": "ffc35dc4e78c29f64b1beec1e3295412a20c15d455b81ecd61a84ba3979b2598", "capability_sha256": "7564b2ce7541ae703e39c20f5599108ab6ddb21b7c012ddf5e1533d3bc2689c4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.iso_cone", "tool_id": "iso-cone", "engine": "iso-cone", "title": "ISO 5167 cone meter", "summary": "ISO 5167-5 uncalibrated cone Q=C E A √(2Δp/ρ) with C=0.82 and β=√(1−(d_c/D)²). Not ISA 1932, not RHG orifice, not ISO 5167-4 type C, not long-radius, not given C_d, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/iso-cone", "api": "https://www.calculatorx.com/api/v1/calc/iso-cone", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.iso_cone.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.iso_cone.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_cone/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_cone/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.iso_cone/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.iso_cone/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.iso_cone", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-5 uncalibrated cone: Q = C E A √(2Δp/ρ); C=0.82; β=√(1−(d_c/D)²); A=(π/4) D² β² annulus; incompressible ε=1; C is reported, not an input", "Uncalibrated C=0.82; Re_D∈[8e4, 1.2e7] is the ISO envelope; β∈[0.45,0.75]; D∈[50 mm, 500 mm]; larger cone lowers β", "Not ISA 1932 C(β,Re), not RHG orifice, not ISO 5167-4 type C, not long-radius C(β), not given C_d, not Q=Av, not Darcy f, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "f933057dc721f24c1340de3ad2c9ee8be6772873925c2af6c30096e94a655112", "output_schema_sha256": "2baab959a4f222e1ebdb6bea7d0c2a3132caa0a5a038421985dad58feb9d9d5a", "evidence_sha256": "8767251db859ba826c567b282ca10f7977f62f2ca6c711abaa41d69a1dff02ae", "evidence_core_sha256": "8767251db859ba826c567b282ca10f7977f62f2ca6c711abaa41d69a1dff02ae", "capability_sha256": "c5f6d33adeed42a462980369c2d6a85089c0dbc020265d0936264178d35c1ce8", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.iso_wedge", "tool_id": "iso-wedge", "engine": "iso-wedge", "title": "ISO 5167 wedge meter", "summary": "ISO 5167-6 uncalibrated wedge Q=C E A √(2Δp/ρ) with C=0.77−0.09β and β from circular-segment h/D. Not cone C=0.82, not ISA 1932, not RHG orifice, not ISO 5167-4 type C, not long-radius, not given C_d, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/iso-wedge", "api": "https://www.calculatorx.com/api/v1/calc/iso-wedge", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.iso_wedge.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.iso_wedge.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_wedge/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.iso_wedge/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.iso_wedge/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.iso_wedge/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.iso_wedge", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "ISO 5167-6 uncalibrated wedge: Q = C E A √(2Δp/ρ); C=0.77−0.09β; β from circular-segment h/D; A=(π/4) D² β²; incompressible ε=1; C is reported, not an input", "C from β, not Re_D; Re_D∈[1e4, 9e6] is the ISO envelope; h/D∈[0.20,0.60]; β∈[0.377,0.791]; D∈[50 mm, 600 mm]; h/D=0.5 → β=√0.5", "Not cone C=0.82, not ISA 1932 C(β,Re), not RHG orifice, not ISO 5167-4 type C, not long-radius C(β), not given C_d, not Q=Av, not Darcy f, not compressible ε" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "22085b561086d82b8f3f26bdd3ff87ee93e5cce92b2eb2903285dd29453c9e17", "output_schema_sha256": "bec792e63a1bf66ef0af377c4036c857bb61e1412404d1bf4a53c8564ffea0ed", "evidence_sha256": "120aba1f96a391c58f90863ceb93d6ef59f14d1fa17cebb0437e6839f416890c", "evidence_core_sha256": "120aba1f96a391c58f90863ceb93d6ef59f14d1fa17cebb0437e6839f416890c", "capability_sha256": "2e06425a912290cd0744b0668c38e2bd98dc5c69ec51e8b67687d8078e056cad", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.elbow_meter", "tool_id": "elbow-meter", "engine": "elbow-meter", "title": "Elbow flow meter", "summary": "90° elbow tap meter Q=C A √(2Δp/ρ) with C=√((R/D)/2). Not pipe-bend K, not Pitot C=1, not venturi, not ISO 5167-6 wedge, not Q=Av, not Darcy. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/elbow-meter", "api": "https://www.calculatorx.com/api/v1/calc/elbow-meter", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.elbow_meter.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.elbow_meter.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.elbow_meter/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.elbow_meter/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.elbow_meter/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.elbow_meter/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.elbow_meter", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "90° elbow tap meter: Q = C A √(2Δp/ρ); C=√((R/D)/2); A=(π/4)D²; inner/outer radius taps; incompressible; C is reported, not an input", "R/D∈[1.0, 3.0]; D∈[25 mm, 600 mm]; 90° only; C from R/D, not a given Pitot C=1", "Not pipe-bend K=0.21 (θ/90)/√(R/D), not Pitot v=C√(2Δp/ρ), not venturi, not ISO 5167-6 wedge, not Q=Av, not Darcy f" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d165c2c6ae6fff639a9cfddb386dc3931489788dc28513c80e2dde8e26c66b4e", "output_schema_sha256": "9de1df83acdc3768f75be3c172b05aa4391a6a48e2ee2fbdaa0430972a1aa356", "evidence_sha256": "bdc09d5bd56cbc96433b6e2a62574366d3605c3735efa14286124f20c8787d9d", "evidence_core_sha256": "bdc09d5bd56cbc96433b6e2a62574366d3605c3735efa14286124f20c8787d9d", "capability_sha256": "58c4577bec6eecf8912d850be1d2cda8fda83c0aae1b49133ce366bc6e682692", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.broad_crested_weir", "tool_id": "broad-crested-weir", "engine": "broad-crested-weir", "title": "Broad-crested weir", "summary": "Rectangular broad-crested weir Q=C_d (2/3)^{3/2} b √g H^{3/2}, default C_d=0.85. Not thin-plate weir, not Manning, not Q=Av, not orifice, not Francis 3.33. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/broad-crested-weir", "api": "https://www.calculatorx.com/api/v1/calc/broad-crested-weir", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.broad_crested_weir.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.broad_crested_weir.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.broad_crested_weir/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.broad_crested_weir/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.broad_crested_weir/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.broad_crested_weir/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.broad_crested_weir", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Rectangular broad-crested weir: Q = C_d (2/3)^{3/2} b √g H^{3/2}; default C_d=0.85; modular free nappe; C_d is an input in (0, 1]", "H is upstream head above the crest, not energy head; optional L_c envelope H/L_c∈[0.08,0.50]; optional P with H/P≤1.5", "Not thin-plate (2/3) C_d L √(2g) H^{3/2}, not Manning n, not Q=Av, not orifice C_d A √(2gH), not Francis 3.33 L H^{3/2}" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "8114fe63a6ba2075facd0231cc59ee9e5b797d81d79eff60b4804621686b6ecc", "output_schema_sha256": "2c7e90576ffe0e85baef653acac9f58cc63d8d6fe08a7657f7fc6a5e2deba89e", "evidence_sha256": "05be5103a1b77380f41a00acc1ea0cd8610de573fadce74e2033883ceb3fa7db", "evidence_core_sha256": "05be5103a1b77380f41a00acc1ea0cd8610de573fadce74e2033883ceb3fa7db", "capability_sha256": "925d2b3b52ab121b3d77a63579ec7da12d6e201c38542e4cf448996ef111209a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.parshall_flume", "tool_id": "parshall-flume", "engine": "parshall-flume", "title": "Parshall flume", "summary": "USBR 1–8 ft Parshall free-flow Q from throat W and gage Ha, n=1.522 W_ft^{0.026}. Not thin-plate weir, not broad-crested weir, not Manning, not Q=Av, not orifice. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/parshall-flume", "api": "https://www.calculatorx.com/api/v1/calc/parshall-flume", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.parshall_flume.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.parshall_flume.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.parshall_flume/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.parshall_flume/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.parshall_flume/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.parshall_flume/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.parshall_flume", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "USBR 1–8 ft Parshall free flow: Q_cfs = 4 W_ft Ha_ft^n, n=1.522 W_ft^{0.026}; SI W, Ha, Q; n is reported, not an input", "Ha is the specified-gage upstream head, not weir crest head H; W∈[0.3048 m, 2.4384 m]; Ha∈[0.03048 m, 1.6764 m]; free nappe only", "Not thin-plate (2/3) C_d L √(2g) H^{3/2}, not broad-crested (2/3)^{3/2} b √g H^{3/2}, not Manning n, not Q=Av, not orifice, not submerged Hb" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "a828b1179d383ead18e23c10c17e5fb871c2d097d4e8686c12785b172209715f", "output_schema_sha256": "f4a4778a5b961065b23de5d1bcb61a5be0e687b6156a0118297bb69599ffc475", "evidence_sha256": "54e8112f32b286e9830ee6b6f82390bb3c48dea6c92c3f0cabdcb32d6e2f95f1", "evidence_core_sha256": "54e8112f32b286e9830ee6b6f82390bb3c48dea6c92c3f0cabdcb32d6e2f95f1", "capability_sha256": "e2fd897e66435270b42f69d602f2bed76a98caa4d4924632ed45a2498a5ca3b5", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.cutthroat_flume", "tool_id": "cutthroat-flume", "engine": "cutthroat-flume", "title": "Cutthroat flume", "summary": "Skogerboe cutthroat free-flow Q from throat W, independent length L_f, and gage Ha. Not Parshall, not thin-plate weir, not broad-crested weir, not Manning, not Q=Av, not orifice. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/cutthroat-flume", "api": "https://www.calculatorx.com/api/v1/calc/cutthroat-flume", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.cutthroat_flume.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.cutthroat_flume.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.cutthroat_flume/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.cutthroat_flume/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.cutthroat_flume/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.cutthroat_flume/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.cutthroat_flume", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Skogerboe cutthroat free flow: Q_cfs = C Ha_ft^n; C=3.50 W_ft^{1.025} (L_f/3 ft)^{0.020}; n=1.56 (L_f/3 ft)^{0.026}; SI W, L_f, Ha, Q; C and n are reported, not inputs", "No diverging section; L_f is independent flume length, not weir crest L; W < L_f; L_f∈[0.4572 m, 2.7432 m]; W∈[0.0508 m, 1.8288 m]; Ha∈[0.03048 m, 1.2192 m]", "Not Parshall 4 W_ft Ha^{1.522 W^{0.026}}, not thin-plate weir, not broad-crested (2/3)^{3/2} √g, not Manning n, not Q=Av, not orifice, not submerged Hb" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "e0952670b41b6a8e44743cd8bfd90a0a3e9a0546a7171f049f83b414bbbfc9db", "output_schema_sha256": "a9150d32f3b394410472be0f139614d280219a6c446223ebbb7ee49210fd11a1", "evidence_sha256": "5a2d5b1c816c858e4557755c4b96172b1c922b5773fd0e4417aaa26e7b5940d5", "evidence_core_sha256": "5a2d5b1c816c858e4557755c4b96172b1c922b5773fd0e4417aaa26e7b5940d5", "capability_sha256": "89bf3ca1f5a16e12795e978003fdd449fe2036ff0732916d30c277c60e1f5a75", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.sluice_gate", "tool_id": "sluice-gate", "engine": "sluice-gate", "title": "Sluice gate", "summary": "Swamee 1992 free-flow undershot sluice Q from opening a, width b, and upstream depth y1. Not tank orifice, not thin-plate weir, not a flume, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/sluice-gate", "api": "https://www.calculatorx.com/api/v1/calc/sluice-gate", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.sluice_gate.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.sluice_gate.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sluice_gate/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.sluice_gate/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.sluice_gate/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.sluice_gate/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.sluice_gate", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Swamee 1992 free-flow undershot sluice: Q = C_d a b √(2g y1); C_d = 0.611 [(y1−a)/y1]^{0.072}; SI a, b, y1, Q; C_d is reported, not an input", "Gate opening a is not orifice area A; y1 is upstream depth, not weir H; a/y1∈[0.05, 0.65]; y1 > a; free flow only", "Not thin-plate weir, not tank orifice C_d A √(2gH), not a flume, not Manning n, not Q=Av, not submerged y2" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d993969a4b3acc364286d780d544a7db26b4b305e6798a650b191be83ab5e457", "output_schema_sha256": "1909de81f8f197e73e2d1c6744a28fb0f9ac23b9faec82ccebd6a0cf168ccb40", "evidence_sha256": "108ea5d270e082dc8084d7658c801f5f8c64a38201f29f1163ea99ee25051534", "evidence_core_sha256": "108ea5d270e082dc8084d7658c801f5f8c64a38201f29f1163ea99ee25051534", "capability_sha256": "85b578893889d0028df216870ed5318d4b43ba90af80218a980ff664bad43e64", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.ogee_spillway", "tool_id": "ogee-spillway", "engine": "ogee-spillway", "title": "Ogee spillway", "summary": "USBR high-overflow ogee Q from crest L, head H, and design head Hd. Not thin-plate weir, not broad-crested weir, not sluice, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/ogee-spillway", "api": "https://www.calculatorx.com/api/v1/calc/ogee-spillway", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.ogee_spillway.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.ogee_spillway.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.ogee_spillway/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.ogee_spillway/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.ogee_spillway/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.ogee_spillway/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.ogee_spillway", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "USBR high-overflow ogee: Q_cfs = C L_ft H_ft^{3/2}; C = 3.98 (H/Hd)^{0.12}; SI L, H, Hd, Q; C is reported, not an input", "H/Hd∈[0.2, 1.33]; optional P with P/Hd≥1.7; vertical upstream face; free overflow", "Not thin-plate (2/3) C_d L √(2g) H^{3/2}, not broad-crested (2/3)^{3/2} b √g H^{3/2}, not sluice, not Manning n, not Q=Av, not Francis 3.33" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "93ca9477199e884579612f4a91cd5f5f8e4289bd096d7e0eddd14b2596b73e99", "output_schema_sha256": "182a3781c40e9a4dd7821c30d292ec76b4fc7e8190759b7ad9c1f379338525cf", "evidence_sha256": "1cc49906946f60ba5978838a5ad77329065bdec9c8246269015bf37cbc3725e1", "evidence_core_sha256": "1cc49906946f60ba5978838a5ad77329065bdec9c8246269015bf37cbc3725e1", "capability_sha256": "694405ce13e7e6e727595d8d0a581f10bd59756547edbae8046fcbf17040d92b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.side_weir", "tool_id": "side-weir", "engine": "side-weir", "title": "Side weir", "summary": "Borghei 1999 sharp-crested side weir Q from B, L, y1, p, and Q1. Not frontal thin-plate weir, not ogee, not sluice, not Manning, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/side-weir", "api": "https://www.calculatorx.com/api/v1/calc/side-weir", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.side_weir.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.side_weir.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.side_weir/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.side_weir/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.side_weir/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.side_weir/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.side_weir", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Borghei 1999 sharp-crested side weir: Q=(2/3) C_d L √(2g) (y1−p)^{3/2}; C_d=0.71−0.41 Fr₁−0.22(p/y1); SI B, L, y1, p, Q1, Q; C_d is reported", "Rectangular channel; subcritical Fr₁∈[0.1, 0.9]; p/y1∈[0.1, 0.9]; y1>p; free lateral overflow; De Marchi-type C_d, not a given frontal C_d", "Not thin-plate frontal weir, not ogee Hd, not sluice a b √(2g y1), not Manning n, not Q=Av, not submerged y2" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "029d0480ebbc750a983b5fc05500bfadb6e4148f3688b42f8e01a7114fdffeb5", "output_schema_sha256": "51594d0e6c8fa928d2a11ecf5efa96036a11d18ce05ffdfdf1e9fd58af76e7e5", "evidence_sha256": "a7c728e822958cc977847ecce7ef7f409652e57a4aa528bb2eb358306f587c8d", "evidence_core_sha256": "a7c728e822958cc977847ecce7ef7f409652e57a4aa528bb2eb358306f587c8d", "capability_sha256": "a220e7a577c8563b63c2f18dd3056f7c421c644914949c0d04a653d1128f1455", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.normal_depth", "tool_id": "normal-depth", "engine": "normal-depth", "title": "Normal depth", "summary": "Rectangular uniform-flow yn from SI Manning with A=b yn and R=b yn/(b+2 yn). Not Manning A,R; not critical depth yc; not specific energy E; not Chezy C; not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/normal-depth", "api": "https://www.calculatorx.com/api/v1/calc/normal-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.normal_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.normal_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.normal_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.normal_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.normal_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.normal_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.normal_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Rectangular uniform-flow normal depth: invert SI Manning Q=(1/n) A R^{2/3} S^{1/2} with A=b yn, R=b yn/(b+2 yn); yn is unknown; n, S, b given", "yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; SI k=1; geometry is rectangular width b, not A and R", "Not Manning Q with given A,R; not critical depth yc=(q²/g)^{1/3}; not specific energy E; not Chezy C; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "9f1ee1cf34321cf4f34229c7d51b50e0d3fc860a5a654ea5c80beb9e7ed60bf0", "output_schema_sha256": "f71e2a05b07017cfd76888d180e536f895b2c002379412bf9ee199472c82f93f", "evidence_sha256": "e11ea1b6d6d9009aca98896112c74a1191fcfea7e9f69523866b255bba3ec2bd", "evidence_core_sha256": "e11ea1b6d6d9009aca98896112c74a1191fcfea7e9f69523866b255bba3ec2bd", "capability_sha256": "b84f29fcc63530c9b24a78c39ab2b523c3212b9cdf04bd909ec7ec0c9d38d5c6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.submerged_weir", "tool_id": "submerged-weir", "engine": "submerged-weir", "title": "Submerged weir", "summary": "Villemonte rectangular submerged weir: Qs=Qf [1−(H2/H1)^{1.5}]^{0.385} on thin-plate Qf. Not free-flow H only, not ogee Hd, not side weir B+Q1, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/submerged-weir", "api": "https://www.calculatorx.com/api/v1/calc/submerged-weir", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.submerged_weir.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.submerged_weir.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.submerged_weir/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.submerged_weir/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.submerged_weir/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.submerged_weir/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.submerged_weir", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Villemonte 1947 rectangular submerged weir: Qs = Qf [1−(H2/H1)^{1.5}]^{0.385}; Qf=(2/3) C_d L √(2g) H1^{3/2}; default C_d=0.62; n=1.5 is not Manning n", "Requires H1 and H2; H2/H1∈[0.20, 0.95]; H1>H2>0; C_d optional in (0, 1]; SI; rectangular thin-plate only", "Not free-flow thin-plate H only, not ogee Hd, not side weir B+Q1, not Manning n, not Q=Av, not V-notch" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "1f6b21a32f617329f54a31f47f7b19c3f3f66f6fa8ca9a82acc4395844f34ef4", "output_schema_sha256": "57d8a0bc73eb02ae72f8bbf3131dadcd56005659de9618fd8d80ad08ce44d0a8", "evidence_sha256": "ba15b5c18e96e21d238eabd20a4e6bb447f1282db187767cbf638f0eab8fd99f", "evidence_core_sha256": "ba15b5c18e96e21d238eabd20a4e6bb447f1282db187767cbf638f0eab8fd99f", "capability_sha256": "b332fbec74743606ea8618745e586a6935e1feccd7b5e92eaa28910142caa50e", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.drowned_sluice", "tool_id": "drowned-sluice", "engine": "drowned-sluice", "title": "Drowned sluice", "summary": "Swamee 1992 drowned undershot sluice: Q=C_d a b √(2g y1) with C_d from y1, a, and y2. Not free-flow sluice, not Villemonte H1+H2, not tank orifice, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/drowned-sluice", "api": "https://www.calculatorx.com/api/v1/calc/drowned-sluice", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.drowned_sluice.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.drowned_sluice.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.drowned_sluice/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.drowned_sluice/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.drowned_sluice/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.drowned_sluice/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.drowned_sluice", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Swamee 1992 drowned undershot sluice: Q=C_d a b √(2g y1); C_d=θ·0.611[(y1−a)/(y1+15a)]^{0.072}; θ from y1, y2, a; C_d is reported", "Requires y2; drowned when y1 < 0.81 y2 (y2/a)^{0.72}; a/y1∈[0.05, 0.65]; y1>y2>a; SI", "Not free-flow sluice without y2, not Villemonte H1+H2 weir, not tank orifice C_d A √(2gH), not Manning n, not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "d496dff247db16ed9c0eb601dd7c693b0b1d7fe92911fe8a0f9b5d40f313dfbc", "output_schema_sha256": "84f6a9167e96b6c4f9ee1c068a260f637fd4adf641662a9b763048af4c2744c6", "evidence_sha256": "e430fdcbd7bea1dcf5e91a7967fd2be18f01617c6ca3575bb040d68f6605ef40", "evidence_core_sha256": "e430fdcbd7bea1dcf5e91a7967fd2be18f01617c6ca3575bb040d68f6605ef40", "capability_sha256": "cc57deba94200ce482a7206e97e0c4f200de854982d1212bf552298bfa9e7886", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.critical_slope", "tool_id": "critical-slope", "engine": "critical-slope", "title": "Critical slope", "summary": "Rectangular Sc such that yn=yc. SI Manning at y=yc. Not Manning A,R; not normal-depth yn invert; not critical-depth yc as the product; not Chezy C; not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/critical-slope", "api": "https://www.calculatorx.com/api/v1/calc/critical-slope", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.critical_slope.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.critical_slope.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.critical_slope/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.critical_slope/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.critical_slope/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.critical_slope/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.critical_slope", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Rectangular critical slope: Sc such that yn=yc; SI Manning at y=yc; yc=(q²/g)^{1/3}; Sc=[n Q/(A R^{2/3})]^2 with A=b yc, R=b yc/(b+2 yc)", "yc/b∈[0.2, 10] so Sc(yc) is one-to-one; n∈[0.008, 0.15]; Sc∈[1e-6, 0.1]; SI k=1; default g=9.80665", "Not Manning Q from A,R,S; not normal-depth yn invert; not critical-depth yc as the product; not Chezy C; not Q=Av; not US k=1.486; not trapezoid z" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "bee92c1340983c10f27f9c26074189b5114bd975d4239a68133acbf4cd8a6e54", "output_schema_sha256": "36cce11023a310bc4ca0d3e3bba85cad8e58b9e240728139dd5d9e60000b873a", "evidence_sha256": "c2689aa6c980bdf20b5f692709fcc5f3af61a693a8c824e5ae722b60717545fe", "evidence_core_sha256": "c2689aa6c980bdf20b5f692709fcc5f3af61a693a8c824e5ae722b60717545fe", "capability_sha256": "5d65525e628c9135eb2b4d71b6f577262a558e23c50dd86d15dce8ba115f3c60", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.specific_force", "tool_id": "specific-force", "engine": "specific-force", "title": "Specific force", "summary": "Rectangular M=Q²/(gA)+A ȳ with ȳ=y/2. Not hydraulic jump y2, not specific energy E, not Froude as the product, not Manning n, not Q=Av, not critical slope Sc. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/specific-force", "api": "https://www.calculatorx.com/api/v1/calc/specific-force", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.specific_force.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.specific_force.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.specific_force/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.specific_force/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.specific_force/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.specific_force/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.specific_force", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Rectangular specific force: M = Q²/(gA) + A ȳ with A=b y and ȳ=y/2; SI; default g=9.80665; M is m²", "Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input", "Not hydraulic jump y2 from Fr₁>1; not specific energy E=y+v²/(2g); not Froude as the product; not Manning n; not Q=Av; not critical slope Sc" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "91df578b8aa1f542f2416839c85d2cfa72ef9bd350ef72b306a5e7377280fdad", "output_schema_sha256": "554ab49b1c781c7aeebf92608cebfd8efd697329cd155b9ad573e8d7a64e25df", "evidence_sha256": "5219409efd7cabc1b633ed4a8ffc91e4674cdf5c5b8609aab4ab56a7e327b39f", "evidence_core_sha256": "5219409efd7cabc1b633ed4a8ffc91e4674cdf5c5b8609aab4ab56a7e327b39f", "capability_sha256": "a93ac0b2b736355e588dfbbb317f489bc68861e575f3a60a66abd0ddcb8a9dd2", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.alternate_depth", "tool_id": "alternate-depth", "engine": "alternate-depth", "title": "Alternate depth", "summary": "Rectangular both y from E, Q, b with E=y+Q²/(2gA²). Not specific energy E from y+v, not specific force M, not hydraulic jump y2, not critical depth yc as the product, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/alternate-depth", "api": "https://www.calculatorx.com/api/v1/calc/alternate-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.alternate_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.alternate_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.alternate_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.alternate_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.alternate_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.alternate_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.alternate_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Rectangular alternate depths: E = y + Q²/(2g A²) with A=b y; both y_sub>yc and y_superEc=1.5 yc; Fr is reported not an input", "Not specific energy E from y+v; not specific force M; not hydraulic jump y2 from Fr₁>1; not critical-depth yc as the product; not Manning n; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "42668cff10d75e5d23233b6827a5e87cd93995ea4db8a8f09300ca9a94693e6c", "output_schema_sha256": "e5934774cd1d8163766103be55e0225fadf909b986b32f3d232014c162f48412", "evidence_sha256": "b0525cd3578776d569c6822ee64a0d830bf8d9d80af20ee7d02432ee01942b14", "evidence_core_sha256": "b0525cd3578776d569c6822ee64a0d830bf8d9d80af20ee7d02432ee01942b14", "capability_sha256": "b5ef806d28f445a988e1531bf3053b2d53630eee7423bcc93a7a5e1d2984ef0a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_critical_depth", "tool_id": "trapezoidal-critical-depth", "engine": "trapezoidal-critical-depth", "title": "Trapezoidal critical depth", "summary": "Trapezoid Fr=1 from Q, b, z with Q² T = g A³, A=(b+z y)y, T=b+2 z y. Not rectangular yc=(q²/g)^{1/3}, not yn, not E, not Manning Q, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-critical-depth", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-critical-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_critical_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_critical_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_critical_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_critical_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_critical_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_critical_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_critical_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid critical depth: Fr=1 with A=(b+z yc) yc and T=b+2 z yc so Q² T = g A³; SI; default g=9.80665; z>0 is run/rise", "Unknown is yc (depth mode) or Q (discharge invert); vc=√(g A/T) is reported; Fr=1 is the definition, not a Froude wrap", "Not rectangular yc=(q²/g)^{1/3}; not normal-depth yn; not specific energy E; not Manning n; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "58e996e1feaef67c68521faa5e5cd2d87c403642356cdad1492611db45b3e669", "output_schema_sha256": "9ade55c11018764030d6a46206ad886218b0a973645928faf4a28da14fdd967c", "evidence_sha256": "97551408f59f35fa788fb54454c8a5c978587eb68c0423cbc96006d6f1e72b35", "evidence_core_sha256": "97551408f59f35fa788fb54454c8a5c978587eb68c0423cbc96006d6f1e72b35", "capability_sha256": "8fa2d3647f2b09eefbba232396ac04d4d039c6ea2b7add5033c4f002f0b35d75", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_normal_depth", "tool_id": "trapezoidal-normal-depth", "engine": "trapezoidal-normal-depth", "title": "Trapezoidal normal depth", "summary": "Trapezoid uniform-flow yn from SI Manning with A=(b+z y)y and P=b+2 y √(1+z²). Not rectangular yn, not trapezoid yc, not Manning A,R, not Chezy C, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-normal-depth", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-normal-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_normal_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_normal_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_normal_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_normal_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_normal_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_normal_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_normal_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid uniform-flow normal depth: invert SI Manning Q=(1/n) A R^{2/3} S^{1/2} with A=(b+z yn) yn, P=b+2 yn √(1+z²), R=A/P; yn is unknown; n, S, b, z given", "yn/b∈[0.01, 10]; n∈[0.008, 0.15]; S∈[1e-6, 0.1]; z∈(0, 10]; SI k=1; geometry is b and z, not A and R", "Not rectangular yn; not trapezoid yc; not Manning Q with given A,R; not Chezy C; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "99bc5f169155fd75e454fcf0eb51aae8e7e17029ed7274f6e42833481d765706", "output_schema_sha256": "2fb50ad9d6f5a25c544c5ea4cf64b2a8c1d2bca4462927751dc728a6400e3c99", "evidence_sha256": "e9999359136fb1fae32372cb9391f11d8c3984261b26a1832d3052802d236101", "evidence_core_sha256": "e9999359136fb1fae32372cb9391f11d8c3984261b26a1832d3052802d236101", "capability_sha256": "ca5bab2cd5b1261005b9b34d4d2dac1544d6b61b8a894b768f2de79ea61bf5c7", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_specific_energy", "tool_id": "trapezoidal-specific-energy", "engine": "trapezoidal-specific-energy", "title": "Trapezoidal specific energy", "summary": "Trapezoid E=y+Q²/(2gA²) with A=(b+z y)y. Not rectangular E=y+v²/(2g), not trapezoid yc, not trapezoid yn, not Manning A,R, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-specific-energy", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-specific-energy", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_energy.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_energy.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_energy/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_energy/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_specific_energy/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_specific_energy/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_specific_energy", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid specific energy: E=y+Q²/(2g A²) with A=(b+z y)y; SI; default g=9.80665; z>0 is run/rise", "Unknown is E (energy mode) or Q (discharge invert); v=Q/A is reported; not y invert (that is alternate depth)", "Not rectangular E=y+v²/(2g); not trapezoid yc; not trapezoid yn; not Manning A,R; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "82759d8a740a667c38e376fb92367ac4bd5b8d4d4971f58f56e6f67a88ec8013", "output_schema_sha256": "67caad0194ecb7b65170797f8edc5f955455b6899c7cfbced9588f827e740443", "evidence_sha256": "ee574d3f2ead0fb9e327cda269ee655346d4b6b8c4bc9bacf6fc441c2154dbf6", "evidence_core_sha256": "ee574d3f2ead0fb9e327cda269ee655346d4b6b8c4bc9bacf6fc441c2154dbf6", "capability_sha256": "7ac6cbaf07d704ea768d15a590c86e96ca0ad44f0852be76766b97a885cc4ade", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_alternate_depth", "tool_id": "trapezoidal-alternate-depth", "engine": "trapezoidal-alternate-depth", "title": "Trapezoidal alternate depth", "summary": "Trapezoid both y from E, Q, b, z with E=y+Q²/(2gA²), A=(b+z y)y. Not rectangular alternate depth, not trapezoid E, not trapezoid yc, not trapezoid yn, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-alternate-depth", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-alternate-depth", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_alternate_depth/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_alternate_depth/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_alternate_depth/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_alternate_depth", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid alternate depths: E = y + Q²/(2g A²) with A=(b+z y)y; both y_sub>yc and y_super0 is run/rise", "Unknown is the pair (depths mode) or E (energy invert from one y); E>Ec=yc+D_c/2; Fr is reported not an input", "Not rectangular alternate depth; not trapezoid E from y+Q; not trapezoid yc as the product; not trapezoid yn; not Manning n; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "6d642655fef31789a1ab59c2e485f2494803b52a1c93cf054c601f5429d47484", "output_schema_sha256": "e5f9db4ab8188483c4087cade377b3e0bc4d1ced90a53255e2d790de2ff6a577", "evidence_sha256": "21accabfe8d53dca37dfbba2836f19fe9b697ed0eca43a62f1d3bf7b0afc2430", "evidence_core_sha256": "21accabfe8d53dca37dfbba2836f19fe9b697ed0eca43a62f1d3bf7b0afc2430", "capability_sha256": "15935a1360409db9f52de061386a08ac5a64aaf38142078bfc0901ef0b991f40", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_hydraulic_jump", "tool_id": "trapezoidal-hydraulic-jump", "engine": "trapezoidal-hydraulic-jump", "title": "Trapezoidal hydraulic jump", "summary": "Trapezoid sequent depths from M=Q²/(gA)+A ȳ on A=(b+z y)y. Not rectangular Bélanger, not trapezoid alternate E-pair, not trapezoid yc, not trapezoid yn, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-hydraulic-jump", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-hydraulic-jump", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_hydraulic_jump/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_hydraulic_jump/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_hydraulic_jump/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_hydraulic_jump", "verification": { "tests": { "passed": 7, "total": 7, "golden": 1, "boundary": 0, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid hydraulic jump: sequent depths from M=Q²/(gA)+A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; z>0 is run/rise; Fr₁>1", "Unknown is y2 (sequent) or y1 (upstream invert) or ΔE (energy); Fr is reported not an input; not Bélanger y2/y1=(√(1+8Fr₁²)−1)/2", "Not rectangular sequent depths; not trapezoid alternate E-pair; not trapezoid yc; not trapezoid yn; not Manning n; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "87f659036ba3c3de3067d7cc33acf783a6e16a458af8a4be3833f303f69ff0cc", "output_schema_sha256": "2d21e5326dc3179382cd12dc5967cb823fa066ac93e4629e4c9e131017bd7588", "evidence_sha256": "ebc6661f6daa5ac5b6f5e3e729c0ed6696e4eee6d53f3983b090949175cbcc3f", "evidence_core_sha256": "ebc6661f6daa5ac5b6f5e3e729c0ed6696e4eee6d53f3983b090949175cbcc3f", "capability_sha256": "f4c5173a7dfe5f93548e12bb95eac22c476025750da66a8d74a8c2c5ee7c03c6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.fluid.trapezoid_specific_force", "tool_id": "trapezoidal-specific-force", "engine": "trapezoidal-specific-force", "title": "Trapezoidal specific force", "summary": "Trapezoid specific force M = Q²/(gA) + A ȳ on A=(b+z y)y with ȳ=y(3b+2zy)/(6(b+zy)). Not rectangular ȳ=y/2, not trapezoid sequent y2, not trapezoid specific energy E, not Manning n, not Q=Av. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/trapezoidal-specific-force", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-specific-force", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force.input.json", "output": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.fluid.trapezoid_specific_force/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_specific_force/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.fluid.trapezoid_specific_force/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.fluid.trapezoid_specific_force", "verification": { "tests": { "passed": 6, "total": 6, "golden": 1, "boundary": 0, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Trapezoid specific force: M = Q²/(gA) + A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; M is m²; z>0 is run/rise", "Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input", "Not rectangular ȳ=y/2; not trapezoid sequent y2; not trapezoid specific energy E; not Manning n; not Q=Av" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "ba86af57a5d9411ba3b304b559ed5872e51eac18ff3a291b859f978c5480ff07", "output_schema_sha256": "ef8c147b4741359949d923614a63f64ef3b038ffd2916b7d77e48572b529e83d", "evidence_sha256": "49ce7ead890d85da4a11246a7010719e3d31f605c2f045b8eead8b7878806f97", "evidence_core_sha256": "49ce7ead890d85da4a11246a7010719e3d31f605c2f045b8eead8b7878806f97", "capability_sha256": "f7a468a84bdc1c1a5b81ffb5aaa62ecb850becccb99ff11782f651dcd67a6720", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.acid_base.henderson_hasselbalch", "tool_id": "henderson-hasselbalch", "engine": "henderson-hasselbalch", "title": "Henderson–Hasselbalch", "summary": "Buffer pH = pKa + log10([A−]/[HA]). Accepts pKa or Ka. Not ICE and not pH = −log10[H+]. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/chemistry/henderson-hasselbalch", "api": "https://www.calculatorx.com/api/v1/calc/henderson-hasselbalch", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.acid_base.henderson_hasselbalch/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.acid_base.henderson_hasselbalch/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.acid_base.henderson_hasselbalch/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.acid_base.henderson_hasselbalch", "verification": { "tests": { "passed": 11, "total": 11, "golden": 1, "boundary": 5, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Monoprotic buffer pair as given — not ICE equilibrium", "Not pH = −log10[H+]", "Not activity coefficients or polyprotic" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "ce20f2f51db961b2a4bd21752670c34893549d02faec96c6656120eeb6fd182d", "output_schema_sha256": "d189af345059376b65ecb82ca089cbab82a24806606b6254ab32d8c14641a0d4", "evidence_sha256": "05962c6ca50a818688c7f76ff78bdd13ee4af81c4aa7f2714b1ba254e9bba35b", "evidence_core_sha256": "05962c6ca50a818688c7f76ff78bdd13ee4af81c4aa7f2714b1ba254e9bba35b", "capability_sha256": "49e287985501c7728d209e6efa7f69e6334058d611c52cb636bd3c0e0dacd474", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.mole.amount", "tool_id": "mole", "engine": "mole", "title": "Mole", "summary": "Amount n = m/M and N = n·N_A. N_A is CODATA 2018 exact. Not molarity and not Henderson–Hasselbalch. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/chemistry/mole", "api": "https://www.calculatorx.com/api/v1/calc/mole", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.mole.amount.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.mole.amount.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.mole.amount/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.mole.amount/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.mole.amount/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.mole.amount/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.mole.amount", "verification": { "tests": { "passed": 12, "total": 12, "golden": 1, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Lab units g, g/mol, mol", "Not molarity c=n/V or dilution C1V1=C2V2", "Not ICE or Henderson–Hasselbalch", "Does not rewrite /convert/chemistry pair pages" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "c4d27473abbef53068956b1ce79a5991118f837a65af5d40c60d58eb66216819", "output_schema_sha256": "d066ffeb7bde857899a9aa02bd53eb064de5c97e28c50b7b917cb70183ee7db9", "evidence_sha256": "ad1cc924958853cbe2cf7d00f4919ff3a837c779d4740e61687aff46a9a7e7e8", "evidence_core_sha256": "ad1cc924958853cbe2cf7d00f4919ff3a837c779d4740e61687aff46a9a7e7e8", "capability_sha256": "739cb1ea770a55390b0d4dc8cd2c256213d7afb2ae43c65b2c98fe1a51f0763f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.solution.molarity", "tool_id": "molarity", "engine": "molarity", "title": "Molarity", "summary": "Molarity c = n/V and dilution C1·V1 = C2·V2. Lab units mol, L, mol/L. Not mole n=m/M and not Henderson–Hasselbalch. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/chemistry/molarity", "api": "https://www.calculatorx.com/api/v1/calc/molarity", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.solution.molarity.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.solution.molarity.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.solution.molarity/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.solution.molarity/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.solution.molarity/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.solution.molarity/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.solution.molarity", "verification": { "tests": { "passed": 14, "total": 14, "golden": 1, "boundary": 8, "property": 5 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Lab units mol, L, mol/L", "Not mole n=m/M or Avogadro", "Not ICE or Henderson–Hasselbalch", "Dilution needs exactly one of c1, v1, c2, v2 omitted" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "ebe50f1b09cd44bb50e46a34a5faa68cbb39b21c2957b28fc8474fadae51627c", "output_schema_sha256": "83540cfa77b8d1ecae781968a25d6ed02b7707a5d115f2d2e930d9957c033d6c", "evidence_sha256": "73d23b76f9fb3c96dd762250ce92739df0fedf1a875de83a67f397273e0b6a22", "evidence_core_sha256": "73d23b76f9fb3c96dd762250ce92739df0fedf1a875de83a67f397273e0b6a22", "capability_sha256": "57371137ce9c496532f230d08b415aa9389ed193221acd4bb5c26aba4b4d9623", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.acid_base.ph", "tool_id": "ph", "engine": "ph", "title": "pH", "summary": "Water-ion pH and pOH identities at 25 °C: pH = −log10[H+], pOH = −log10[OH−], pH + pOH = 14. Not Henderson–Hasselbalch and not ICE. (calculation_version 1.0.1)", "page": "https://www.calculatorx.com/calc/chemistry/ph", "api": "https://www.calculatorx.com/api/v1/calc/ph", "calculation_version": "1.0.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph/1.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.acid_base.ph/1.0.1/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.acid_base.ph/1.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.acid_base.ph/1.0.1", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.acid_base.ph", "verification": { "tests": { "passed": 14, "total": 14, "golden": 1, "boundary": 7, "property": 6 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 14, "passed": 14, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Kw = 1e-14 at 25 °C (not temperature-dependent)", "Not Henderson–Hasselbalch buffer pH", "Not ICE, activity coefficients, or polyprotic" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.1", "artifacts": { "engine": "1.0.1", "page": "1.0.1", "capability": "1.0.1", "evidence": "1.0.1", "input_schema": "1.0.1", "output_schema": "1.0.1", "mcp_contract": "1.0.1" }, "digests": { "input_schema_sha256": "8a616520a7c1716956418626fe11dc5ef7a38e3d4a69ad59f6be891179d3b2f8", "output_schema_sha256": "04ab729484e355638be8ebb990d46f82988bf6794b5a72320a0176784bb2a9e1", "evidence_sha256": "85661f1b4bf4dbdd4c201eb000e8266bc3a74518523a440f30a79f5a7728e30f", "evidence_core_sha256": "85661f1b4bf4dbdd4c201eb000e8266bc3a74518523a440f30a79f5a7728e30f", "capability_sha256": "8f9291b42a9b4b512fb5c11fd4518472996263e17358940a60f5c73cc318266f", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.equilibrium.weak_acid", "tool_id": "weak-acid-equilibrium", "engine": "weak-acid-equilibrium", "title": "Weak-acid ICE", "summary": "Monoprotic weak-acid ICE: HA ⇌ H+ + A− from formal C and Ka or pKa. Charge and mass balance; optional water at 25 °C. Reuses math.numerical.root. Not Henderson–Hasselbalch and not pH=−log10[H+] identities. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/chemistry/weak-acid-equilibrium", "api": "https://www.calculatorx.com/api/v1/calc/weak-acid-equilibrium", "calculation_version": "1.0.4", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_acid/1.0.4/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_acid/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_acid/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.equilibrium.weak_acid", "verification": { "tests": { "passed": 13, "total": 13, "golden": 2, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Monoprotic HA only; not polyprotic, not a weak base, not activity coefficients", "Not Henderson–Hasselbalch (buffer pair as given)", "Not the water-ion identity page pH=−log10[H+]", "Kw = 1e-14 at 25 °C when mode=ice" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "f96d9fa13cfaf31a11c72625387ae8aa21a280ebaa2cb16d03a985b77fd7fe76", "output_schema_sha256": "3dbc9cab1f0a0ba3e6ca058ef943386e3845a94a1d0f27a6aed8e9450e89f7a1", "evidence_sha256": "b5b1764a86cc148becba8d21975176a3bac5624d1c9660bb9b8510943292233f", "evidence_core_sha256": "b5b1764a86cc148becba8d21975176a3bac5624d1c9660bb9b8510943292233f", "capability_sha256": "c5098c697a630eb505db73c841df3bb9443e880ac96275f2b92444317b81f5aa", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "chemistry.equilibrium.weak_base", "tool_id": "weak-base-equilibrium", "engine": "weak-base-equilibrium", "title": "Weak-base ICE", "summary": "Monoprotic weak-base ICE: B + H2O ⇌ BH+ + OH− from formal C and Kb or pKb. Charge and mass balance; optional water at 25 °C. Reuses math.numerical.root. Not Henderson–Hasselbalch and not weak-acid ICE. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/chemistry/weak-base-equilibrium", "api": "https://www.calculatorx.com/api/v1/calc/weak-base-equilibrium", "calculation_version": "1.0.4", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base.input.json", "output": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base.output.json", "input_versioned": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/chemistry.equilibrium.weak_base/1.0.4/output.json" }, "evidence": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/chemistry.equilibrium.weak_base/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/chemistry.equilibrium.weak_base", "verification": { "tests": { "passed": 13, "total": 13, "golden": 2, "boundary": 6, "property": 5 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 5, "passed": 5 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Monoprotic B only; not polyprotic, not a weak acid, not activity coefficients", "Not Henderson–Hasselbalch (buffer pair as given)", "Not weak-acid ICE HA ⇌ H+ + A−", "Not the water-ion identity page pH=−log10[H+]", "Kw = 1e-14 at 25 °C when mode=ice" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "52e11e8bd863347b4b3b8cb1726170da0f7c815e7664d7b4777668e56b6fa1cd", "output_schema_sha256": "8d9e7e9e689b9e7c5666e0c5e86cf313393df800dacc174b84c7aa9c090c9ef1", "evidence_sha256": "4852cad42a6c0c8e164a2fe3a1bf57d4f4423d34e8fd3c7a744c4d9d0e8bd15d", "evidence_core_sha256": "4852cad42a6c0c8e164a2fe3a1bf57d4f4423d34e8fd3c7a744c4d9d0e8bd15d", "capability_sha256": "5619d0ccd3f5883cd1a4d3018867fd6270f432f6eaa5594a9ea422a875f3f5e3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.thermo.stefan_boltzmann", "tool_id": "stefan-boltzmann", "engine": "stefan-boltzmann", "title": "Stefan–Boltzmann", "summary": "Net gray-body flux q = εσ(Th⁴−Tc⁴). Optional Q = A·q. Not Fourier/Newton heat-transfer and not a view-factor solver. 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Conduction R=L/(k A), convection R=1/(h A), series ΣR, parallel 1/R=Σ1/R_i. Optional Q=ΔT/R. Not Fourier/Newton Q, not heatsink θ, not steam, not radiation. (calculation_version 1.0.0)", "page": "https://www.calculatorx.com/calc/physics/thermal-resistance", "api": "https://www.calculatorx.com/api/v1/calc/thermal-resistance", "calculation_version": "1.0.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance.input.json", "output": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance.output.json", "input_versioned": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance/1.0.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/physics.thermo.thermal_resistance/1.0.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/physics.thermo.thermal_resistance/1.0.0.json", "evidence_page": "https://www.calculatorx.com/evidence/physics.thermo.thermal_resistance/1.0.0", "capability_page": "https://www.calculatorx.com/capabilities/physics.thermo.thermal_resistance", "verification": { "tests": { "passed": 16, "total": 16, "golden": 1, "boundary": 9, "property": 6 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 1, "passed": 1 }, "boundary": { "total": 9, "passed": 9 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Lumped R; SI K/W", "Series R=ΣR_i; parallel 1/R=Σ1/R_i; Q=ΔT/R when ΔT is given", "Not Fourier/Newton Q (see /calc/physics/heat-transfer)", "Not heatsink θJC/θSA, not steam, not radiation" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.0", "artifacts": { "engine": "1.0.0", "page": "1.0.0", "capability": "1.0.0", "evidence": "1.0.0", "input_schema": "1.0.0", "output_schema": "1.0.0", "mcp_contract": "1.0.0" }, "digests": { "input_schema_sha256": "c331e6933cc6a01f659c5664c757fb2628060083dde7c46f418b6ad0c73a1911", "output_schema_sha256": "2cc61d569661afa57c1e25d9fc267c2e3d71528b7b4e40c616d7bcd3ccb80cfe", "evidence_sha256": "871888f0841032bb9f934ab525a676e46db4657a6c5ea33b7fff04b5247c5c63", "evidence_core_sha256": "871888f0841032bb9f934ab525a676e46db4657a6c5ea33b7fff04b5247c5c63", "capability_sha256": "734f617ddedb6579cd61f2b39c2c221ebf65acb4509a49eeceb3a88810109d95", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "physics.thermo.composite_wall", "tool_id": "composite-wall", "engine": "composite-wall", "title": "Composite wall", "summary": "Plane composite wall from a layer list. R_i = L_i/(k_i A), optional films 1/(h A), R = R_in + ΣR_i + R_out. Optional Q=ΔT/R. Not Fourier/Newton Q, not lumped R-network, not heatsink θ, not steam, not cylindrical. 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(calculation_version 1.1.1)", "page": "https://www.calculatorx.com/calc/grade/final-grade", "api": "https://www.calculatorx.com/api/v1/calc/final-grade", "calculation_version": "1.1.1", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/education.final_grade.input.json", "output": "https://www.calculatorx.com/schemas/education.final_grade.output.json", "input_versioned": "https://www.calculatorx.com/schemas/education.final_grade/1.1.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/education.final_grade/1.1.1/output.json", "by_operation": { "need": "https://www.calculatorx.com/schemas/education.final_grade/need.input.json", "overall": "https://www.calculatorx.com/schemas/education.final_grade/overall.input.json", "weighted": "https://www.calculatorx.com/schemas/education.final_grade/weighted.input.json", "points": "https://www.calculatorx.com/schemas/education.final_grade/points.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/education.final_grade/1.1.1.json", "evidence_page": "https://www.calculatorx.com/evidence/education.final_grade/1.1.1", "capability_page": "https://www.calculatorx.com/capabilities/education.final_grade", "verification": { "tests": { "passed": 26, "total": 26, "golden": 5, "boundary": 12, "property": 8, "formula_crosscheck": 1 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 26, "passed": 26, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 12, "passed": 12 }, "property": { "total": 8, "passed": 8 }, "formula_crosscheck": { "total": 1, "passed": 1 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Need on final / Overall: Current must exclude the final (pre-final grade). Do not enter an LMS current that already counts the final as 0%.", "Weighted: enter category grades and weights as they actually appear for completed work; remaining weight is optional.", "W is percent (40); w = W/100 is the fraction form. Do not mix W and w in one expression.", "Need on final with W = 0 → status invalid, code WEIGHT_REQUIRED (not a number).", "Points mode total ≤ 0 → TOTAL_POINTS_REQUIRED. Final points > total still computes and warns POINTS_EXCEED_TOTAL.", "Letter cutoffs / GPA points are a reference example, not part of the calculation model.", "Planning estimate only — not an official transcript. No curve, drop-lowest, or extra credit unless you adjust inputs.", "Engine aliases current/goal/W/finalScore/totalPoints are accepted at runtime; prefer share-URL field names in schemas." ], "methods": [], "operations": [ "need", "overall", "weighted", "points" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.1", "artifacts": { "engine": "1.1.1", "page": "1.1.1", "capability": "1.1.1", "evidence": "1.1.1", "input_schema": "1.1.1", "output_schema": "1.1.1", "mcp_contract": "1.1.1" }, "digests": { "input_schema_sha256": "548a9acb12e46491968636cf4991a6f7ab8a701719afbde49b6e02c3921c9df2", "output_schema_sha256": "2fa2caf68de0f94e8f23cae378eed36318bc3b0edbb0cdebcadfd2b07cd7e1ba", "evidence_sha256": "cb7eda64b472a75f59935edace8bd3b21a18c08e62bda430d126726c25caefed", "evidence_core_sha256": "cb7eda64b472a75f59935edace8bd3b21a18c08e62bda430d126726c25caefed", "capability_sha256": "1b42e34d8aea1979f8e61c6909c7f019bbc9e592e52f58cc1172d8620d33f041", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "education.gpa_letter", "tool_id": "gpa-to-letter", "engine": "gpa-letter", "title": "GPA ↔ letter grade", "summary": "Approximate GPA↔letter lookup on plus/minus 4.33, flat 4.0, or linear 5.0 normalization. One table, two SEO entries (GPA→letter and letter→GPA). (calculation_version 1.1.3)", "page": "https://www.calculatorx.com/calc/grade/gpa-to-letter", "page_aliases": [ { "tool_id": "letter-grade-to-gpa", "page": "https://www.calculatorx.com/calc/grade/letter-grade-to-gpa", "api": "https://www.calculatorx.com/api/v1/calc/letter-grade-to-gpa" } ], "api": "https://www.calculatorx.com/api/v1/calc/gpa-to-letter", "calculation_version": "1.1.3", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/education.gpa_letter.input.json", "output": "https://www.calculatorx.com/schemas/education.gpa_letter.output.json", "input_versioned": "https://www.calculatorx.com/schemas/education.gpa_letter/1.1.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/education.gpa_letter/1.1.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/education.gpa_letter/1.1.3.json", "evidence_page": "https://www.calculatorx.com/evidence/education.gpa_letter/1.1.3", "capability_page": "https://www.calculatorx.com/capabilities/education.gpa_letter", "verification": { "tests": { "passed": 16, "total": 16, "golden": 16, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 16, "passed": 16, "failed": 0, "golden": { "total": 16, "passed": 16 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Interpretation of a numeric GPA or a single letter — not a registrar conversion", "Not a term or cumulative GPA from a course list (use the GPA calculator)", "Example percentage bands are syllabus conventions, not derived from GPA" ], "methods": [], "operations": [ "to-letter", "to-gpa" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.3", "artifacts": { "engine": "1.1.3", "page": "1.1.3", "capability": "1.1.3", "evidence": "1.1.3", "input_schema": "1.1.3", "output_schema": "1.1.3", "mcp_contract": "1.1.3" }, "digests": { "input_schema_sha256": "34264687c89f08e41986002cf356b752837057ce0446b8f0b7ea304add7f35e1", "output_schema_sha256": "c02b8c720af9be5cd7928b3e3b7c604acc217b0e65d935eef6fef983aa970c99", "evidence_sha256": "fb2ae8019b681fad6876c1c749b05dbac9f18c23d5fa3661773ab226080963cd", "evidence_core_sha256": "fb2ae8019b681fad6876c1c749b05dbac9f18c23d5fa3661773ab226080963cd", "capability_sha256": "af4a1bd69e9f899624cc5697a15ec43d6bd18358a77a95ac0d1f914f30c6c4a2", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "finance.vat", "tool_id": "vat", "engine": "vat", "title": "VAT / GST", "summary": "Add or remove a single-rate consumption tax (VAT or GST labeling). Gross = Net × (1 + rate/100); Net = Gross × 100 / (100 + rate). (calculation_version 1.3.0)", "page": "https://www.calculatorx.com/calc/finance/vat", "page_aliases": [ { "tool_id": "gst", "page": "https://www.calculatorx.com/calc/finance/gst", "api": "https://www.calculatorx.com/api/v1/calc/gst" } ], "api": "https://www.calculatorx.com/api/v1/calc/vat", "calculation_version": "1.3.0", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/finance.vat.input.json", "output": "https://www.calculatorx.com/schemas/finance.vat.output.json", "input_versioned": "https://www.calculatorx.com/schemas/finance.vat/1.3.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/finance.vat/1.3.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/finance.vat/1.3.0.json", "evidence_page": "https://www.calculatorx.com/evidence/finance.vat/1.3.0", "capability_page": "https://www.calculatorx.com/capabilities/finance.vat", "verification": { "tests": { "passed": 4, "total": 4, "golden": 4, "boundary": 0, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 4, "passed": 4, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 0, "passed": 0 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Single flat rate on the entered amount", "No multi-rate baskets, exemptions, or input-tax credits", "GST page is an SEO entry of this capability — same engine, GST labeling" ], "methods": [], "operations": [ "add", "remove" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.0", "artifacts": { "engine": "1.3.0", "page": "1.3.0", "capability": "1.3.0", "evidence": "1.3.0", "input_schema": "1.3.0", "output_schema": "1.3.0", "mcp_contract": "1.3.0" }, "digests": { "input_schema_sha256": "5d66b6d1b6cda55f6b1f566d99df4c4843973fa2f4576b9ec293d10517ff28da", "output_schema_sha256": "802f8ae25f1a9dd159c6c25296a4f6734b5416995ed2de46bfc0eba5aa50e912", "evidence_sha256": "bd99cb951158e4f45fff11e4376d744b565f3f16b1dfb91bb983f646209d4d66", "evidence_core_sha256": "bd99cb951158e4f45fff11e4376d744b565f3f16b1dfb91bb983f646209d4d66", "capability_sha256": "76bae15bbf288d26f65d9f509cb8eb76f99322ecfe9282a70b0d3fdb12f447a6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.factorial", "tool_id": "factorial", "engine": "factorial", "title": "Ordinary factorial", "summary": "Exact n! for integers 0 ≤ n ≤ 5000 via BigInt arithmetic, with product expansion, digit count, and scientific notation for long integers. Matching n/nInput aliases; unknown fields rejected. Exactness refers to normalized integer input; numeric JSON rounds to binary64. Scientific preview truncates to12 leading digits; complete decimal digits in exact. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/math/factorial", "api": "https://www.calculatorx.com/api/v1/calc/factorial", "calculation_version": "1.0.4", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.factorial.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.factorial.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.factorial.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.factorial.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.factorial/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.factorial/1.0.4/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.factorial/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/math.factorial/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/math.factorial", "verification": { "tests": { "passed": 24, "total": 24, "golden": 8, "boundary": 7, "property": 9 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 24, "passed": 24, "failed": 0, "golden": { "total": 8, "passed": 8 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 9, "passed": 9 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Ordinary (single) factorial only — not multifactorial and not Γ(n+1) for non-integers", "Domain is 0 ≤ n ≤ 5000 (product/resource bound, not a mathematical bound)", "Missing n → MISSING_REQUIRED_INPUT", "Non-numeric or non-integer n → INVALID_NUMBER", "n < 0 → VALUE_MUST_BE_NON_NEGATIVE", "n > 5000 → VALUE_ABOVE_MAX", "Digits-only strings: trimmed length≤64; matching n/nInput aliases; string scientific notation rejected. JSON numeric finite rounding is permitted; raw nonzero underflow rejected.", "Scientific display uses the first12 digits without rounding; exact contains every digit.", "Unknown fields → UNKNOWN_INPUT; aliases disagree → INPUT_ALIAS_CONFLICT; excessive text → INPUT_TOO_LARGE" ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "65b528e8230052d58f33f790dc9d8eed93e982757269a75f1db13264fce18347", "output_schema_sha256": "dc7e95b6f3e83892b07fd746ded7cf1981c8091b887c07dfaa9757fe1269ca40", "evidence_sha256": "8258d5daec5d009f2e69091540bd012cd99685f90dbcd6658078b512aff715da", "evidence_core_sha256": "8258d5daec5d009f2e69091540bd012cd99685f90dbcd6658078b512aff715da", "capability_sha256": "93cdddc53d59aa9b39c77cf8afc8b63062daf3278f58a724241f3072354d5f9d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.fractions", "tool_id": "fractions", "engine": "fractions", "title": "Fractions", "summary": "Exact safe-integer fraction and signed mixed-number arithmetic (+,−,×,÷), simplification and decimal previews. From decimal converts the shortest normalized binary64 decimal to an exact base10 rational, or rejects an unsafe reduced n/d; no continued-fraction or silent-zero substitute. (calculation_version 1.0.8)", "page": "https://www.calculatorx.com/calc/math/fractions", "api": "https://www.calculatorx.com/api/v1/calc/fractions", "calculation_version": "1.0.8", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.fractions.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.fractions.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.fractions.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.fractions.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.fractions/1.0.8/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.fractions/1.0.8/output.json", "by_operation": { "operate": "https://www.calculatorx.com/schemas/math.fractions/operate.input.json", "simplify": "https://www.calculatorx.com/schemas/math.fractions/simplify.input.json", "to-dec": "https://www.calculatorx.com/schemas/math.fractions/to-dec.input.json", "from-dec": "https://www.calculatorx.com/schemas/math.fractions/from-dec.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.fractions/1.0.8.json", "evidence_page": "https://www.calculatorx.com/evidence/math.fractions/1.0.8", "capability_page": "https://www.calculatorx.com/capabilities/math.fractions", "verification": { "tests": { "passed": 32, "total": 32, "golden": 20, "boundary": 8, "property": 4 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 32, "passed": 32, "failed": 0, "golden": { "total": 20, "passed": 20 }, "boundary": { "total": 8, "passed": 8 }, "property": { "total": 4, "passed": 4 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Integer numerators and denominators only (optional mixed-number whole)", "Denominator 0 → DENOMINATOR_MUST_BE_NONZERO", "Division by 0/n → DIVISION_BY_ZERO", "Add/subtract use LCD = LCM(b, d); (ad ± bc)/bd is an equivalent check only", "Negative sign is normalized onto the numerator after reduction", "Expert review pending — L1 engine-tested / source-checked", "Required numerator/denominator or decimal never default; whole alone may be absent/empty. Unknown mode/op/field and conflicting aliases rejected.", "From-dec uses shortest decimal serialization after binary64 normalization, not the exact binary float fraction. Nonzero-to-zero rejected; reduced numerator and denominator must be safe integers.", "rational_exact describes n/d; decimal/decimal_display are rounded previews (12 significant digits normally,9 scientific). Full structured result available in native exports." ], "methods": [ "LCD / LCM addition and subtraction", "Cross-product identity (equivalent to LCD, used as a check)", "GCF reduction", "Reciprocal (keep–change–flip) division" ], "operations": [ "operate", "simplify", "to-dec", "from-dec" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.8", "artifacts": { "engine": "1.0.8", "page": "1.0.8", "capability": "1.0.8", "evidence": "1.0.8", "input_schema": "1.0.8", "output_schema": "1.0.8", "mcp_contract": "1.0.8" }, "digests": { "input_schema_sha256": "454b6e55dc71046ea4bcbf5483ac86c4d82025bd005d603d51bd4b55c68cdd56", "output_schema_sha256": "d451b0103e2d597a9c2cb024fadad14d981603f09616ad1a288ee1780ccfb850", "evidence_sha256": "0b0c63acb50d3967532470d204eed573c80924b98a6a12c03432d52d23103cc1", "evidence_core_sha256": "0b0c63acb50d3967532470d204eed573c80924b98a6a12c03432d52d23103cc1", "capability_sha256": "26ef26e5cb3d857a83e3784aae43aa35d90a9d05b4eca193f0462e3a904106c7", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.8" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.gcf", "tool_id": "gcf", "engine": "gcf", "title": "Greatest common factor", "summary": "Exact GCF/GCD/HCF of2–32 signed integers up to48 digits, with bounded working, strict aliases and complete method results. (calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/math/gcf", "api": "https://www.calculatorx.com/api/v1/calc/gcf", "calculation_version": "1.0.3", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.gcf.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.gcf.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.gcf.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.gcf.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.gcf/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.gcf/1.0.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.gcf/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/math.gcf/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/math.gcf", "verification": { "tests": { "passed": 20, "total": 20, "golden": 6, "boundary": 7, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 20, "passed": 20, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Integers only; negatives treated by absolute value", "Each integer ≤ 48 decimal digits (product bound, not a mathematical bound)", "Zeros are ignored unless every input is 0 (then UNDEFINED)", "Need at least two numbers → NEED_TWO_NUMBERS", "Non-integers → INVALID_NUMBER", "Integers beyond MAX_SAFE_INTEGER must be decimal strings in JSON", "At most32 integers; list text≤4096 characters, individual array strings≤128 characters", "Aliases values/numbers/numsInput must normalize to the same ordered list; unknown fields rejected", "Exactness refers to accepted integers. Nonzero raw JSON underflow and unsafe numeric integers are rejected.", "Method agreement is an internal cross-check, not third-party certification." ], "methods": [ "Pairwise Euclidean fold (canonical engine)", "Prime-factor GCF (cross-check when every |n| ≤ 1,000,000)", "Factor-list GCF (cross-check when every |n| ≤ 10,000)" ], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "ce1ac2ed33e6c016b2012f7aa646efc00ad1121d9ffcb0aea9b01b3c250db6c9", "output_schema_sha256": "8cef94e42e0aa48e26d23b4c8fa246350b2a7245f87eb4934277534da34744f3", "evidence_sha256": "46b8671e022c013eaa3a462531bfe6bf8c8411b3d6dec05044731f5df00ab8b8", "evidence_core_sha256": "46b8671e022c013eaa3a462531bfe6bf8c8411b3d6dec05044731f5df00ab8b8", "capability_sha256": "937cb7a0438c38772fec044aab08313f91f65ebcb9e4e54a65c777d3e1cab5d1", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.lcm", "tool_id": "lcm", "engine": "lcm", "title": "Least common multiple", "summary": "Exact least common multiple of2–32 signed integers of at most48 decimal digits each. Any zero gives0. Complete working and bounded listing/prime cross-checks; unsafe JSON integers must be decimal strings. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/math/lcm", "api": "https://www.calculatorx.com/api/v1/calc/lcm", "calculation_version": "1.0.4", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.lcm.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.lcm.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.lcm.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.lcm.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.lcm/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.lcm/1.0.4/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.lcm/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/math.lcm/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/math.lcm", "verification": { "tests": { "passed": 20, "total": 20, "golden": 6, "boundary": 7, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 20, "passed": 20, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Exact relative to accepted normalized integers; cannot recover precision already lost by the client or JSON numeric parsing.", "2–32 values,48 decimal digits per integer,4096 list characters; matching ordered aliases required.", "Listing bound5000 and inputs≤500, at most80 displayed multiples per row with explicit omission; prime cross-check input bound1000000.", "Result may contain up to1536 decimal digits; summary/full and exports preserve the complete integer." ], "methods": [ "Pairwise GCF-identity fold (canonical engine; divide before multiply)", "Prime-factor LCM (cross-check when every |n| ≤ 1,000,000 and none is 0)", "Listing multiples (cross-check when LCM ≤ 5,000 and every |n| ≤ 500)" ], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "5374ad9a3a62305c7a5982e9b2d82f2c0135d3fc1bed99a6a31cf35b9652afc9", "output_schema_sha256": "ba4aed58d4673eee1b77ab2ad6d7920f38f350bf710369ec73c8dfda97b3c87a", "evidence_sha256": "22ee8ca8d9cdca7ef1f6f2fae8be0d27207f17bb7be5cb3cb12fc08c0c75a629", "evidence_core_sha256": "22ee8ca8d9cdca7ef1f6f2fae8be0d27207f17bb7be5cb3cb12fc08c0c75a629", "capability_sha256": "6a3032a59fab9ce0b3452f453ae05a4396d5c8b22a9c9c7633fa9dcfd394f8f4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.ratio", "tool_id": "ratio", "engine": "ratio", "title": "Ratio", "summary": "Simplify, scale, and compare ratios; solve proportions; split a total; convert part-to-part ratios to fraction, decimal, and part-of-whole percent using exact rationals. (calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/math/ratio", "page_aliases": [ { "tool_id": "proportion", "page": "https://www.calculatorx.com/calc/math/proportion", "api": "https://www.calculatorx.com/api/v1/calc/proportion" } ], "api": "https://www.calculatorx.com/api/v1/calc/ratio", "calculation_version": "1.0.3", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.ratio.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.ratio.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.ratio.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.ratio.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.ratio/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.ratio/1.0.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.ratio/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/math.ratio/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/math.ratio", "verification": { "tests": { "passed": 26, "total": 26, "golden": 11, "boundary": 7, "property": 8 }, "contract_checks": { "passed": 10, "total": 10 } }, "evidence_tests": { "total": 26, "passed": 26, "failed": 0, "golden": { "total": 11, "passed": 11 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 8, "passed": 8 }, "contract": { "total": 10, "passed": 10, "failed": 0 } }, "limitations": [ "Integers, terminating decimals, and simple a/b fractions only (no mixed numbers or scientific notation)", "Simplify / proportion / compare allow negative terms", "All-zero simplify → ALL_ZERO", "Proportion needs exactly one blank among A,B,C,D → PROPORTION_ONE_BLANK", "Expert review pending — L1 engine-tested / source-checked", "Each token≤128 characters;48 digits per integer/decimal or fraction component. Binary64 JSON numbers may already round; unsafe integer numbers rejected; exact strings recommended.", "Aliases must agree; unknown and nonempty inactive fields rejected.", "Proportion requires a unique solution and nonzero B,D including solved denominators.", "Split terms and total must be nonnegative, sum of terms positive.", "Bars approximate; tiny percentages may be invisible, exact text retained." ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "0560f35cdf32bb784bf21fadc9c84c7f47dcdd2ea831eeaacf60a55e90210d44", "output_schema_sha256": "fd4566914572b7c5cd66567757cd4cd599ac0b8652f79ecdaba4de553d8ff975", "evidence_sha256": "8d312e56a26b7219889d5ddb8351de9c22f87aa4eff32dc32f3dca401951bf7a", "evidence_core_sha256": "8d312e56a26b7219889d5ddb8351de9c22f87aa4eff32dc32f3dca401951bf7a", "capability_sha256": "f003ae9b4a38c6d27e9c6ae2397cfe97f246695173b62192c488456cd197d004", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 10, "passed": 10, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "explanation-formula-n-term", "status": "pass", "detail": "r₁:⋯:rₙ → (r₁′÷g):⋯:(rₙ′÷g), rᵢ′=L·rᵢ, L=LCM(dᵢ), g=GCF(|rᵢ′|)" }, { "id": "explanation-steps-match-result", "status": "pass" }, { "id": "explanation-inputs-summary", "status": "pass" }, { "id": "explanation-calculation-version", "status": "pass", "detail": "1.0.3" }, { "id": "explanation-arity", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.log", "tool_id": "log", "engine": "log", "title": "Logarithm", "summary": "Common, natural, and arbitrary-base real logarithms; solve for y, x, or b with change-of-base. (calculation_version 1.1.6)", "page": "https://www.calculatorx.com/calc/math/log", "api": "https://www.calculatorx.com/api/v1/calc/log", "calculation_version": "1.1.6", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.log.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.log.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.log.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.log.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.log/1.1.6/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.log/1.1.6/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.log/1.1.6.json", "evidence_page": "https://www.calculatorx.com/evidence/math.log/1.1.6", "capability_page": "https://www.calculatorx.com/capabilities/math.log", "verification": { "tests": { "passed": 45, "total": 45, "golden": 22, "boundary": 23, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 45, "passed": 45, "failed": 0, "golden": { "total": 22, "passed": 22 }, "boundary": { "total": 23, "passed": 23 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Solve y=log_b(x), x=b^y or b=x^(1/y). Positive finite x and base b>0,b≠1; y finite. Omitted base defaults10 only for forward/argument solve.", "Strict decimal/scientific text up to512 characters or e; matching known-input aliases; unknown keys, nonfinite types and nonzero text rounded to zero reject. Legacy all-three selects y; requested output fields are ignored.", "No numerical snapping near1/2/e/10. Symbolic base e uses Math.log/exp; numeric bases preserve binary64 values. Base1 rounding rejects RESULT_ROUNDED_TO_ONE, distinct from no mathematical solution.", "Independent Decimal200 fixed complete-pack vectors:4ULP for logarithm/argument and128ULP for solved base; known fields exact binary64.16 existing common-log O3 vectors retain2ULP. Neither is a whole-domain guarantee.", "Display normally12 significant digits, preserving extra digits near1; complete native exports retain raw inputs. Conditioning grows near base1 and y=0 for base solve. Local typing; URL/REST/MCP send inputs and may enter logs." ], "methods": [], "operations": [ "y", "x", "b" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.6", "artifacts": { "engine": "1.1.6", "page": "1.1.6", "capability": "1.1.6", "evidence": "1.1.6", "input_schema": "1.1.6", "output_schema": "1.1.6", "mcp_contract": "1.1.6" }, "digests": { "input_schema_sha256": "a1a6766ec07f567848082fb89fb3c34dce8aaa0b252f8702931fc74fe395bf24", "output_schema_sha256": "b069e80c0bb536f1b63e7806faa1ab2dd1aea918a5d35c5abaf997f5df7e611a", "evidence_sha256": "1b64590f3d2035278452f01abf959cd24b989622fd3faa96d2d720f4a638565f", "evidence_core_sha256": "1b64590f3d2035278452f01abf959cd24b989622fd3faa96d2d720f4a638565f", "capability_sha256": "54a73aec78c88867ae755ed5b5f1c959941b4e8e8b2ad8db34039fb2fc806e40", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.6" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.quadratic", "tool_id": "quadratic", "engine": "quadratic", "title": "Quadratic formula", "summary": "Solve ax² + bx + c = 0, or ax² + bx + c ○ rhs for ○ in {<,≤,>,≥}. Sign of a is the outside of the roots. Inequality discovery /quadratic-inequality. Not cubic, not CAS factoring. (calculation_version 1.1.2)", "page": "https://www.calculatorx.com/calc/math/quadratic", "page_aliases": [ { "tool_id": "quadratic-inequality", "page": "https://www.calculatorx.com/calc/math/quadratic-inequality", "api": "https://www.calculatorx.com/api/v1/calc/quadratic-inequality" } ], "api": "https://www.calculatorx.com/api/v1/calc/quadratic", "calculation_version": "1.1.2", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.quadratic.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.quadratic.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.quadratic.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.quadratic.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.quadratic/1.1.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.quadratic/1.1.2/output.json", "by_operation": { "solve": "https://www.calculatorx.com/schemas/math.quadratic/solve.input.json", "inequality": "https://www.calculatorx.com/schemas/math.quadratic/inequality.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2.json", "evidence_page": "https://www.calculatorx.com/evidence/math.quadratic/1.1.2", "capability_page": "https://www.calculatorx.com/capabilities/math.quadratic", "verification": { "tests": { "passed": 9, "total": 9, "golden": 6, "boundary": 3, "property": 0 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Finite real binary64 a,b,c with a nonzero; solve or quadratic inequality lt/le/gt/ge. Decimal/scientific,Unicode minus,en-US grouped inputs andinteger fractions supported; each text token <=512characters. Fractions are projected once tobinary64; exact decisions refer toaccepted binary64 values.", "a/aInput,b/bInput,c/cInput,rhs/d andoperator aliases mustagree. Missing/blank/null required coefficients reject; rawnonzero underflow rejects NUMERIC_UNDERFLOW; unknown keys andinapplicable solve-mode operators/rhs reject. The inequality entry locks mode=inequality.", "Exact bounded rational discriminant,shifted constant andvertex decisions; scaled square root andstableq roots. Required discriminant/root/vertex projection outside finite binary64 or distinct roots collapsing toonefloat rejects NUMERICAL_RANGE_ERROR. This isnot universal success forfinite coefficients; exact arithmetic bounded16384bits.", "65-plus independent CPython Fraction andDecimal800/1100 fullpacks; rootcoordinate ceiling4ULP forfixedvectors,all other numbers/keys/types/presentation strict. Classification/topology exact onaccepted floats. Near multiple roots areillconditioned undercoefficient changes; nocross-runtime/globalULP guarantee.", "Display preservesnonzero/distinct binary64 values; symbolic factors onlywhen exact reconstruction succeeds. Curve samples useexact rational Horner. Finite-window/cluster/tiny graph omissions areexplicit; fullscalar/interval data andnative JSON/CSV remain. CSV text isformula-neutralized.", "Typing computeslocally. ShareURLs andREST/MCP transmitinputs andmayenterbrowser/server/intermediary logs. Oldversionlinks warnbeforecurrent execution; historical numerical runtime isnot replayed." ], "methods": [], "operations": [ "solve", "inequality" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.2", "artifacts": { "engine": "1.1.2", "page": "1.1.2", "capability": "1.1.2", "evidence": "1.1.2", "input_schema": "1.1.2", "output_schema": "1.1.2", "mcp_contract": "1.1.2" }, "digests": { "input_schema_sha256": "d5ac3d081d0f60aad98791fe1ffdb35af0a7adf5331d92de0fb52f30e3bdf887", "output_schema_sha256": "6671a3f4d2755952d89d69cdab67453c815c43abb1da42ab688759508b8a77ae", "evidence_sha256": "e80d3cf9d9e4c3262785fa23315e59c251105441af68afe881730667ba62440a", "evidence_core_sha256": "e80d3cf9d9e4c3262785fa23315e59c251105441af68afe881730667ba62440a", "capability_sha256": "3bf89567b5f28693140ee0b3430df7d8c547c22cfe3c73b8292275ded069c367", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.percentage", "tool_id": "percentage", "engine": "percentage", "title": "Percentage", "summary": "Phrase modes: P% of X, what percent, of-what, percent change, adjust ±P%, and percentage difference. (calculation_version 1.2.0)", "page": "https://www.calculatorx.com/calc/math/percentage", "api": "https://www.calculatorx.com/api/v1/calc/percentage", "calculation_version": "1.2.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.percentage.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.percentage.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.percentage.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.percentage.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.percentage/1.2.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.percentage/1.2.0/output.json", "by_operation": { "of": "https://www.calculatorx.com/schemas/math.percentage/of.input.json", "is-what": "https://www.calculatorx.com/schemas/math.percentage/is-what.input.json", "of-what": "https://www.calculatorx.com/schemas/math.percentage/of-what.input.json", "change": "https://www.calculatorx.com/schemas/math.percentage/change.input.json", "adjust-up": "https://www.calculatorx.com/schemas/math.percentage/adjust-up.input.json", "adjust-down": "https://www.calculatorx.com/schemas/math.percentage/adjust-down.input.json", "difference": "https://www.calculatorx.com/schemas/math.percentage/difference.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.percentage/1.2.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.percentage/1.2.0", "capability_page": "https://www.calculatorx.com/capabilities/math.percentage", "verification": { "tests": { "passed": 19, "total": 19, "golden": 12, "boundary": 7, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 19, "passed": 19, "failed": 0, "golden": { "total": 12, "passed": 12 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Exact formulas of normalized binary64 inputs, output rounded once ties-to-even. Decimal inputs are rounded binary64, not exact decimal arithmetic.", "Reject nonzero values that round to zero and overflow (including published delta/average); rescale on NUMERIC_RANGE.", "Change uses |old|; difference needs nonnegative a,b and nonzero sum. Near zero baseline is ill-conditioned; shortest round-trip display is not significant-figure tracking.", "At most512 characters per scalar; active fields only and aliases must agree." ], "methods": [], "operations": [ "of", "is-what", "of-what", "change", "adjust-up", "adjust-down", "difference" ], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.percentage", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "p": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "pInput": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "P": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "P": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent_change": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent_difference": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "scalar_result_policy": "result.value is percent only in percentage-solving modes; in amount-solving modes it inherits the amount unit. Follow the selected mode and result.unit." }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.0", "artifacts": { "engine": "1.2.0", "page": "1.2.0", "capability": "1.2.0", "evidence": "1.2.0", "input_schema": "1.2.0", "output_schema": "1.2.0", "mcp_contract": "1.2.0" }, "digests": { "input_schema_sha256": "ad83b844b015d62a78cf1580bab0f2c605ef1b837b7ff3ceb9a4cda71865c59f", "output_schema_sha256": "7d4a07c4a7e76728ea14d6abf6051a550bc87c180a32cd2810eb3a22e559161b", "evidence_sha256": "6253968d6a326c7af209a42b273eebc9f0e37e60bcd4ac05411f7d720aace3bd", "evidence_core_sha256": "6253968d6a326c7af209a42b273eebc9f0e37e60bcd4ac05411f7d720aace3bd", "capability_sha256": "32ed7f3a7625dda5d0367425a3426310321b89ef4d37e5dcb246b7a4f3aeeb26", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.2.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.percent_change", "tool_id": "percent-change", "engine": "percent-change", "title": "Percentage change", "summary": "Signed percent change (V₂ − V₁)/|V₁|×100% with reverse solve for V₁ or V₂. (calculation_version 1.2.0)", "page": "https://www.calculatorx.com/calc/math/percentage-change", "api": "https://www.calculatorx.com/api/v1/calc/percent-change", "calculation_version": "1.2.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.percent_change.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.percent_change.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.percent_change.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.percent_change.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.percent_change/1.2.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.percent_change/1.2.0/output.json", "by_operation": { "p": "https://www.calculatorx.com/schemas/math.percent_change/p.input.json", "v1": "https://www.calculatorx.com/schemas/math.percent_change/v1.input.json", "v2": "https://www.calculatorx.com/schemas/math.percent_change/v2.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.percent_change/1.2.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.percent_change/1.2.0", "capability_page": "https://www.calculatorx.com/capabilities/math.percent_change", "verification": { "tests": { "passed": 8, "total": 8, "golden": 6, "boundary": 2, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 8, "passed": 8, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Signed change uses |v1|; nonzero initial value required. Inverse preserves both signed branches or infinite/no-solution outcomes.", "Exact rational expressions of normalized binary64 inputs, one ties-even rounding per published field; not exact decimal measurement arithmetic.", "Reject nonzero underflow/overflow in inputs, secondary fields or valid candidate branches; no partial candidate set. Rescale. Near±100 inverse percentages are ill-conditioned.", "8ULP same-sign nonzero triple consistency, strict zero; preserve requested percent when solving final even if final rounds unchanged." ], "methods": [], "operations": [ "p", "v1", "v2" ], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.percent_change", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "p": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "pInput": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "P": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "pct": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "p": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent_change": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "entered_percent_change": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "percent_of_initial": { "unit": "%", "reference": { "unit_id": "cx:percent", "revision": "1.0.0", "content_digest": "f73c887f011a6f997b183701a1b03417b3c89a863747910a54ae79c6a6b9f963", "dependency_digest": "58d9bc109880e0c8ea6d45264fbba933f64a17cf17586d2a8dbbf7cbea14566d", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, 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"candidate", "role": "scalar" } } }, "scalar_result_policy": "value/candidates/solutions are percentages only when solving p; solving v1/v2 returns amounts in their existing arbitrary unit." }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.2.0", "artifacts": { "engine": "1.2.0", "page": "1.2.0", "capability": "1.2.0", "evidence": "1.2.0", "input_schema": "1.2.0", "output_schema": "1.2.0", "mcp_contract": "1.2.0" }, "digests": { "input_schema_sha256": "99e34ba92b60b5bae3c4aa528fa7df2c03370a46874fc595452a25773c845c19", "output_schema_sha256": "579f01799872189d7ecdee27e44d1fc1a53b3514893d6f8caf742099c9eb568d", "evidence_sha256": "636667e675bc125203f5ec7735b8ea0014b32598cb8c7f51fddf8923c5cb7773", "evidence_core_sha256": "636667e675bc125203f5ec7735b8ea0014b32598cb8c7f51fddf8923c5cb7773", "capability_sha256": "e28b82a6aae07c8bf972a01c0fcd5503cafbd9893d431a35f1d6cdccc4fab473", "engine_sha256": 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plus area and perimeter; verify mode when all three sides given. 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Decimal text at most512characters,strict types and matching aliases. Nonzero-to-zero conversion rejects.", "Four operations:c,a,b,verify. solve_for selects the output;all supplied side tokens still validate. All three without solve_for verify;mode=verify conflicts with solve_for.", "Verification checks nondegenerate geometry and squared relative residual |a²+b²-c²|/c²<=1e-6 with scaled squares. Approximate binary64 diagnostics may differ by2e-15 near the threshold; no exact-equality proof.", "Solved sides must fit positive finite binary64. Unrepresentable positive area/perimeter are null with explicit range status;invalid verify has no right-angle area. Values display12significant digits. Exact radical only for exactly representable safe-integer radicands.", "Diagram is schematic,not to scale;no right-angle diagram for failed verification. 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(calculation_version 1.0.5)", "page": "https://www.calculatorx.com/calc/math/ln", "api": "https://www.calculatorx.com/api/v1/calc/ln", "calculation_version": "1.0.5", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.ln.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.ln.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.ln.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.ln.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.ln/1.0.5/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.ln/1.0.5/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.ln/1.0.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.ln/1.0.5", "capability_page": "https://www.calculatorx.com/capabilities/math.ln", "verification": { "tests": { "passed": 23, "total": 23, "golden": 11, "boundary": 12, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 23, "passed": 23, "failed": 0, "golden": { "total": 11, "passed": 11 }, "boundary": { "total": 12, "passed": 12 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Positive finite binary64 x or symbolic e; strict decimal/scientific text ≤512 characters; nonzero text rounded to zero rejects NUMERIC_UNDERFLOW. Unknown keys/conflicting x aliases reject. Legacy y/yInput ignored.", "Math.log approximates normalized binary64 inputs. Exact flag only x=1 or symbolic e. Display 12 significant digits; native exports retain full pack and input text.", "Independent Decimal180 vectors accept logarithms within4 ULP and inverse values within16 EPS max(1,|y|) relative plus2 subnormal quanta. Existing16 O3 vectors retain2 ULP; neither claim covers the whole domain.", "Near1 input rounding is ill conditioned; inverse check tolerance128 EPS max(1,|y|) relative plus2 subnormal quanta is not exactness proof.", "Typing local; shared URLs/REST/MCP send inputs and may enter logs. Slider0.1–10 only; Focus graph bounded around current input." ], "methods": [], "operations": [ "ln" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.5", "artifacts": { "engine": "1.0.5", "page": "1.0.5", "capability": "1.0.5", "evidence": "1.0.5", "input_schema": "1.0.5", "output_schema": "1.0.5", "mcp_contract": "1.0.5" }, "digests": { "input_schema_sha256": "2a8b0c1068f0f7a4c9bf3dec7f71eb8d42116d06330877ba2e153d270b254158", "output_schema_sha256": "c74a38e7e8eaaf2cd789f297ca082260e2d10430aa2e61965c4ac6447c44471b", "evidence_sha256": "05d270f1d9ab1d6fb51193026720c8c62312fc27b9ad99786b430dfc3c2ed87f", "evidence_core_sha256": "05d270f1d9ab1d6fb51193026720c8c62312fc27b9ad99786b430dfc3c2ed87f", "capability_sha256": "f8c90480b2f9718f4dc90007137088291da45490da683442dc88333d0be279d6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.5" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.square_root", "tool_id": "square-root", "engine": "square-root", "title": "Square root", "summary": "Principal square root of x; non-negative returns real principal, negative returns principal imaginary √|x| i. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/math/square-root", "api": "https://www.calculatorx.com/api/v1/calc/square-root", "calculation_version": "1.0.4", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.square_root.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.square_root.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.square_root.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.square_root.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.square_root/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.square_root/1.0.4/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.square_root/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/math.square_root/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/math.square_root", "verification": { "tests": { "passed": 18, "total": 18, "golden": 11, "boundary": 7, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 18, "passed": 18, "failed": 0, "golden": { "total": 11, "passed": 11 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Principal branch on finite real radicands: x≥0 gives real=principal=√x,imag=0; x<0 gives real=0,imag=√|x|,principal=null. Both real/imag/principal are always present.", "Numbers or strict decimal/scientific strings of at most512 characters; x and xInput must agree. Unknown keys, nonfinite values, null, booleans, hex, commas and nonzero-to-zero underflow reject.", "Binary64 input rounding and Math.sqrt output rounding are distinct; at most2 ULP on declared independent Decimal2000 reference vectors, not an exhaustive or exact-decimal guarantee. Relative condition number1/2 away from zero; derivative unbounded at zero.", "12 significant digit display. Perfect-square claims require safe-integer radicands and roots. Scaled Babylonian working is an illustration, not the engine algorithm.", "Live graph shows the real branch in a bounded window; negative radicands have no real point. Typing computes locally; shared URLs and REST/MCP send inputs and may enter logs." ], "methods": [], "operations": [ "sqrt" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "69b9b78cd467274524000030ed067a5c87391b85c6af4b7d168f00914a774f79", "output_schema_sha256": "dfb5553c678fd2ff8916c23d13c5350a0fde5ceadb85438461be5492923fc37f", "evidence_sha256": "c2068787b531fa02649eb14ed6e9c22f5555014b7516f19a66143cc8a403e5f3", "evidence_core_sha256": "c2068787b531fa02649eb14ed6e9c22f5555014b7516f19a66143cc8a403e5f3", "capability_sha256": "ff8d7705eb5fcc1a11a8edd68fd42f620ff66df5dccd50cdf93df25a9fe82f3c", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.antilog", "tool_id": "anti-log", "engine": "antilog", "title": "Antilogarithm", "summary": "Inverse of log: x = b^y (common, natural, binary, or custom base). (calculation_version 1.0.7)", "page": "https://www.calculatorx.com/calc/math/anti-log", "api": "https://www.calculatorx.com/api/v1/calc/anti-log", "calculation_version": "1.0.7", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.antilog.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.antilog.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.antilog.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.antilog.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.antilog/1.0.7/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.antilog/1.0.7/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.antilog/1.0.7.json", "evidence_page": "https://www.calculatorx.com/evidence/math.antilog/1.0.7", "capability_page": "https://www.calculatorx.com/capabilities/math.antilog", "verification": { "tests": { "passed": 33, "total": 33, "golden": 14, "boundary": 19, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 33, "passed": 33, "failed": 0, "golden": { "total": 14, "passed": 14 }, "boundary": { "total": 19, "passed": 19 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "x=b^y for finite y and positive finite b≠1. Omitted base defaults10. Scalar output remains unrounded binary64; overflow and result rounding tozero reject.", "Selected alias precedence: y then yInput; baseId then base; selected explicit preset/numeric base overrides b/baseInput; custom uses b then baseInput; absent base token uses b then baseInput. Nullish aliases fall through. Ignored shadow fields do not change the selected value.", "Selected numeric text is strict decimal/scientific up to512 characters; nonzero text rounding tozero rejects NUMERIC_UNDERFLOW. Explicit blank/invalid base rejects instead of defaulting. Unknown keys reject; compare/digits are validated presentation-only options.", "Symbolic e means Math.exp(y); numeric/custom Math.E remains binary64 Math.pow. No proximity snapping.51 independent Decimal150/250 scalar references use2ULP fixed-vector budget; existing O3 budget retained, no whole-domain guarantee.", "Display precision is rounding only. Inverse uses unrounded x and is not independent verification; x rounded to1 cannot recover nonzero y. Conditioning depends on |y| nearbase1 and |y ln b| for exponent perturbations.", "Typing local; shared URLs/REST/MCP send inputs and may enter logs. Native exports retain scalar output and raw provided inputs." ], "methods": [], "operations": [ "antilog" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.7", "artifacts": { "engine": "1.0.7", "page": "1.0.7", "capability": "1.0.7", "evidence": "1.0.7", "input_schema": "1.0.7", "output_schema": "1.0.7", "mcp_contract": "1.0.7" }, "digests": { "input_schema_sha256": "d7f0a91df9f97ea561577d07c91bb7270886c6e597b1db4749377c9f4e641a12", "output_schema_sha256": "66582a746c086441bd82d72139063a197673f181b866ca4d55f7053a35c625d4", "evidence_sha256": "94ae9ea6a52babcb4e498678e523aa39eedefb2aface288d91b9cc6d3bc68468", "evidence_core_sha256": "94ae9ea6a52babcb4e498678e523aa39eedefb2aface288d91b9cc6d3bc68468", "capability_sha256": "ed39b4f608b057d2fd2e30c4203fad3acd82e6604d1d420c76b63579477495c3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.7" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.root", "tool_id": "root", "engine": "root", "title": "Nth root", "summary": "Principal real nth root of a with positive safe-integer index n (default 2). (calculation_version 1.0.6)", "page": "https://www.calculatorx.com/calc/math/root", "api": "https://www.calculatorx.com/api/v1/calc/root", "calculation_version": "1.0.6", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.root.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.root.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.root.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.root.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.root/1.0.6/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.root/1.0.6/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.root/1.0.6.json", "evidence_page": "https://www.calculatorx.com/evidence/math.root/1.0.6", "capability_page": "https://www.calculatorx.com/capabilities/math.root", "verification": { "tests": { "passed": 24, "total": 24, "golden": 10, "boundary": 14, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 24, "passed": 24, "failed": 0, "golden": { "total": 10, "passed": 10 }, "boundary": { "total": 14, "passed": 14 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Principal real nth root only. Even index requires a≥0 (NOT_REAL otherwise); odd-negative uses the real negative branch, distinct from complex principal powers.", "Strict decimal/scientific text up to512 characters; reject unknown keys, nonfinite, null, hex, comma, mismatching aliases, nonzero text rounded to zero. Exact positive safe-integer index; omitted index defaults to2, explicit blank/null rejects. Semantic cross-field and exact-text rules run after Schema shape validation.", "Binary64 identity for n=1, Math.sqrt for n=2, Math.cbrt for n=3, signed Math.pow for higher indices. Declared fixed references have≤64 ULP overall; existing path-specific O3 vectors retain0/2/64 ULP. Not a whole-domain guarantee or exact-decimal result.", "Relative condition number in radicand is1/n away from zero; derivative singular at zero for n>1. Input rounding, reciprocal-exponent error and root rounding are distinct. Raising rounded output to n can overflow or amplify error.", "12 significant digit display; exports keep full binary64 scalar, raw inputs and calculation version. Bounded real graph; typing computes locally, shared URLs and REST/MCP send inputs and may enter logs." ], "methods": [], "operations": [ "root" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.6", "artifacts": { "engine": "1.0.6", "page": "1.0.6", "capability": "1.0.6", "evidence": "1.0.6", "input_schema": "1.0.6", "output_schema": "1.0.6", "mcp_contract": "1.0.6" }, "digests": { "input_schema_sha256": "4e390513efa70a86d1eb766085e865373966b168a9c105b772c9b697816e9719", "output_schema_sha256": "47b2dc74f1d8ce5c453fee82059224736347ee808d745cbdb670258b2b4ab21e", "evidence_sha256": "5340f1c3ae482b0fbb5c2e2fb24501f0e36094dc8c57ee472d315bff01e839bc", "evidence_core_sha256": "5340f1c3ae482b0fbb5c2e2fb24501f0e36094dc8c57ee472d315bff01e839bc", "capability_sha256": "0c076b8efdc8025dbd13615bc99ef4ed6240fa86bf76d222fdc0cc6c0c89d29a", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.6" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.exponent", "tool_id": "exponent", "engine": "exponent", "title": "Exponentiation", "summary": "Real power y = aⁿ with solve_for y (default scalar), a, or n. (calculation_version 1.0.5)", "page": "https://www.calculatorx.com/calc/math/exponent", "api": "https://www.calculatorx.com/api/v1/calc/exponent", "calculation_version": "1.0.5", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.exponent.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.exponent.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.exponent.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.exponent.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.exponent/1.0.5/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.exponent/1.0.5/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.exponent/1.0.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.exponent/1.0.5", "capability_page": "https://www.calculatorx.com/capabilities/math.exponent", "verification": { "tests": { "passed": 38, "total": 38, "golden": 16, "boundary": 22, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 38, "passed": 38, "failed": 0, "golden": { "total": 16, "passed": 16 }, "boundary": { "total": 22, "passed": 22 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Real power equation y=a^n. solve_for y/a/n; omit the unknown and provide exactly the two known fields. Omitted mode inferred from the two fields. Matching aliases only, unknown keys reject.", "Strict decimal/scientific tokens up to512 characters; null/blank/nonfinite/hex/boolean reject; nonzero text rounded to zero rejects NUMERIC_UNDERFLOW. Raw JSON numeric underflow rejects before parse loss. Integer exponent must be an exact safe integer. Semantic constraints follow shape validation.", "Only symbolic e uses exp/log; numeric approximations retain their own value. Negative-base forward domain requires integer n; inverse n for negative bases requires an integer reproducing signed y. Base -1 gives infinitely many integer exponents for y=±1. Inverse even integer powers preserve both signs.", "Binary64, not exact decimal. Independent fixed review vectors allow16 ULP forward/log-ratio and128 ULP inverse-base reciprocal powers; legacy O3 six vectors retain2 ULP. Not a whole-domain guarantee. Forward relative sensitivity |n| in a; inverse exponent ill-conditioned near a=1. Subnormal results have low relative accuracy. Overflow/nonzero-to-zero results reject.", "12 significant digit display, full typed outputs/raw inputs/version in exports. Negative-base graphs do not draw a continuous real curve. Typing local; shared URLs/REST/MCP send inputs and may enter logs; links run current version." ], "methods": [], "operations": [ "y", "a", "n" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.5", "artifacts": { "engine": "1.0.5", "page": "1.0.5", "capability": "1.0.5", "evidence": "1.0.5", "input_schema": "1.0.5", "output_schema": "1.0.5", "mcp_contract": "1.0.5" }, "digests": { "input_schema_sha256": "3fd911557db6d76fa297415bd3213a3035cdee322d6ddd6924c90747c8ebf0d9", "output_schema_sha256": "f6e814508aeb4a4b236f001a6be51ffdb55e48e84c48560170944c80a373f757", "evidence_sha256": "7f4ca4e6c7dc0f8d7e3ca170e2635d1c02014a7c4816d52c0d39d87070496274", "evidence_core_sha256": "7f4ca4e6c7dc0f8d7e3ca170e2635d1c02014a7c4816d52c0d39d87070496274", "capability_sha256": "2bb3a4099907f72f3201eb731124492da38696aa4dc7541b7b9f8656964c71b4", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.5" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.sin", "tool_id": "sin", "engine": "sin", "title": "Sine", "summary": "sin(θ) in degrees (default) or radians, with algebraic snap for textbook angles. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/sin", "api": "https://www.calculatorx.com/api/v1/calc/sin", "calculation_version": "1.1.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.sin.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.sin.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.sin.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.sin.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.sin/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.sin/1.1.0/output.json", "by_operation": { "angle": "https://www.calculatorx.com/schemas/math.sin/angle.input.json", "ratio": "https://www.calculatorx.com/schemas/math.sin/ratio.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.sin/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.sin/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.sin", "verification": { "tests": { "passed": 11, "total": 11, "golden": 7, "boundary": 4, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Angle mode: finite binary64 theta; a nonzero degree sine rounding tozero rejects RESULT_UNDERFLOW; deg(default) or rad. Degree reduction uses signed remainder before quadrant reduction; no add360 or angle-proximity epsilon. Listed common degree angles and 17 normalized binary64 radian tokens within ±2π use symbolic recognition, not mathematical exactness of floating-point radians.", "Ratio mode: finite opposite≥0, hypotenuse>0 and opposite≤hypotenuse; returns opposite/hypotenuse. A nonzero ratio rounding tozero rejects RESULT_UNDERFLOW. Angle fields in ratio mode and side fields in angle mode reject UNEXPECTED_INPUT.", "Numeric aliases theta/t/angle/thetaInput, opposite/oppInput and hypotenuse/hypInput must agree; unit/unitInput normalize degree(s)/°/radian(s), case/space accepted. Missing mode defaultsangle. Unknown keys reject. Explicit null/blank numeric fields reject; null/blank unit defaultsdeg.", "Strict decimal/scientific source text ≤512 characters; hexadecimal, booleans and grouped numbers reject. Nonzero text rounding tozero rejects NUMERIC_UNDERFLOW. RawJSON numbers are checked before lossy parse; finite subnormal accepted.", "Independent Decimal420/620 Taylor/Machin and Fraction references:2ULP fixed-vector ceiling; zero/sign/types strict. Legacy18 O3 samples retain2ULP budget; no whole-domain or cross-runtime bitwise guarantee. Radian generic path uses Math.sin; degrees reduced before conversion.", "Nearzeros relative conditioning is unbounded; large input spacing loses source angle information before computation. Sine may legitimately round to±1. Display12significant digits falls back tofull binary64 if rounding changes a boundary. Native exports preserve full scalar and raw inputs.", "Graph omitted in ratio mode and for |theta|>1e6; diagram/derived angle is not independent verification. Typing local; sharedURLs/REST/MCP send inputs and may enter logs." ], "methods": [], "operations": [ "angle", "ratio" ], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.sin", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "theta": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "thetaInput": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "t": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "angle": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." } }, "outputs": { "$": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "e474ba3e79247610c8f8229cf79c4230bb62e79ca796f2bdfbc3c26e9358f0c3", "output_schema_sha256": "b8cf448fa61450ddcc01bda04feefa768d87404106537b96b3aac8438edbb250", "evidence_sha256": "6e1d38d790195a7a67fe0b1328d29062e7c909612a0f4595ed2d0459c05b53d2", "evidence_core_sha256": "6e1d38d790195a7a67fe0b1328d29062e7c909612a0f4595ed2d0459c05b53d2", "capability_sha256": "d014ce07114345051347de5b2e16d216238aa9a2a9fe34540040dbf15cbe51d0", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.cos", "tool_id": "cos", "engine": "cos", "title": "Cosine", "summary": "cos(θ) in degrees (default) or radians, with algebraic snap for textbook angles. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/cos", "api": "https://www.calculatorx.com/api/v1/calc/cos", "calculation_version": "1.1.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.cos.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.cos.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.cos.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.cos.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.cos/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.cos/1.1.0/output.json", "by_operation": { "angle": "https://www.calculatorx.com/schemas/math.cos/angle.input.json", "ratio": "https://www.calculatorx.com/schemas/math.cos/ratio.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.cos/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.cos/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.cos", "verification": { "tests": { "passed": 6, "total": 6, "golden": 4, "boundary": 2, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 6, "passed": 6, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Angle mode: finite binary64 theta; deg(default) or rad. Degree reduction uses signed remainder before quadrant reduction; no add360 or angle-proximity epsilon. Listed common degree angles and 17 normalized binary64 radian tokens within ±2π use symbolic recognition, not mathematical exactness of floating-point radians.", "Ratio mode: finite adjacent≥0, hypotenuse>0 and adjacent≤hypotenuse; returns adjacent/hypotenuse. A nonzero ratio rounding tozero rejects RESULT_UNDERFLOW. Angle fields in ratio mode and side fields in angle mode reject UNEXPECTED_INPUT.", "Numeric aliases theta/t/angle/thetaInput, adjacent/adjInput and hypotenuse/hypInput must agree; unit/unitInput normalize degree(s)/°/radian(s), case/space accepted. Missing mode defaultsangle. Unknown keys reject. Explicit null/blank numeric fields reject; null/blank unit defaultsdeg.", "Strict decimal/scientific source text ≤512 characters; hexadecimal, booleans and grouped numbers reject. Nonzero text rounding tozero rejects NUMERIC_UNDERFLOW. RawJSON numbers are checked before lossy parse; finite subnormal accepted.", "Independent Decimal420/620 Taylor/Machin and Fraction references:2ULP fixed-vector ceiling; zero/sign/types strict. Legacy18 O3 samples retain2ULP budget; no whole-domain or cross-runtime bitwise guarantee. Radian generic path uses Math.cos; degrees reduced before conversion.", "Nearzeros relative conditioning is unbounded; large input spacing loses source angle information before computation. Cosine may legitimately round to±1. Display12significant digits falls back tofull binary64 if rounding changes a boundary. Native exports preserve full scalar and raw inputs.", "Graph omitted in ratio mode and for |theta|>1e6; diagram/derived angle is not independent verification. Typing local; sharedURLs/REST/MCP send inputs and may enter logs." ], "methods": [], "operations": [ "angle", "ratio" ], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.cos", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "theta": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "thetaInput": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "t": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "angle": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." } }, "outputs": { "$": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "57941bf36a0ff95f26433e030f47a3166a2737597df41b0ed2104e814f29a08e", "output_schema_sha256": "2b12eda73bd078d570c58983e4555dd2ff568c689bfbe261c00a2a9d7ee99006", "evidence_sha256": "b54e14f271232c042d8211280e2aee37dca8e82d3a884334a0d83b9ac8b7b53b", "evidence_core_sha256": "b54e14f271232c042d8211280e2aee37dca8e82d3a884334a0d83b9ac8b7b53b", "capability_sha256": "f6ffc82c777151b7b5656454d7bd42736bfc69303ff905d0257c9f5193a4b153", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.tan", "tool_id": "tan", "engine": "tan", "title": "Tangent", "summary": "tan(θ) in degrees (default) or radians; exact odd multiples of 90° are UNDEFINED; near-pole returns finite with NEAR_SINGULARITY. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/tan", "api": "https://www.calculatorx.com/api/v1/calc/tan", "calculation_version": "1.1.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.tan.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.tan.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.tan.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.tan.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.tan/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.tan/1.1.0/output.json", "by_operation": { "angle": "https://www.calculatorx.com/schemas/math.tan/angle.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.tan/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.tan/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.tan", "verification": { "tests": { "passed": 25, "total": 25, "golden": 15, "boundary": 10, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 25, "passed": 25, "failed": 0, "golden": { "total": 15, "passed": 15 }, "boundary": { "total": 10, "passed": 10 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Finite binary64 angle;deg(default) orrad. Strict decimal/scientific text<=512characters;unknownkeys/conflictingaliases reject. Null/blank numeric rejects;null/blankunit defaultsdeg. Nonzero source text rounding0 rejectsNUMERIC_UNDERFLOW.", "Degree reduction before conversion,stable tan/cotangent offsets;exact odd90degree poles rejectUNDEFINED without epsilon.17 listed normalized binary64 radian magnitudes within2pi andsignedcounterparts use symbolic recognition;only pi/2 and3pi/2 pole tokens andtheir negatives reject. Genericradians useMath.tan.", "Nonzero finite input producingzero rejectsRESULT_UNDERFLOW except declaredsymboliczero identities. Nonfinite result rejectsRESULT_OVERFLOW. Finite output is scalar;|value|>5729.57789313059 returns{value,warnings:[NEAR_SINGULARITY]}.", "121 independent Decimal420/620 Taylor/Machin referencevectors:2ULPfixedvector budget;zero/sign/types/warnings strict,actualULP reported;16legacyO3values retainedseparately. Noall-domain/cross-runtime guarantee. Nearpoles inputuncertainty strongly amplifies;huge inputspacing losesphase beforecomputation.", "Display12significantdigits fallsbacktofullbinary64 if rounding erases nonzero orchanges±1. Fullscalar/warnings/rawinputs preservedin native exports. Graph omitted when|theta|>1e6 or|value|>8,not calculation failure.", "Inverse tangent usespublished Arctan capability viaexplicitnavigation. Typinglocal;shareURLs/REST/MCP sendinputs andmayenterlogs." ], "methods": [], "operations": [ "angle" ], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.tan", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "theta": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "thetaInput": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "t": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." }, "angle": { "quantity_kind": "plane_angle", "role": "scalar", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "selector_fields": [ "unit", "unitInput" ], "normalized_default": "deg", "options": { "deg": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" }, "rad": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "applicability": "Angle mode only. Preserve the existing selector aliases, normalization and conflict checks; ratio mode has no angular input." } }, "outputs": { "$": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "c87f4d7e6d55b72cf4b0a18bca0f7c730e52473c50f737e799cb320c8727678e", "output_schema_sha256": "03ea712ae04f2944b804ea959565474ceaed2f1a9c4dd7cc57b05dea58b3f268", "evidence_sha256": "6e31502dbad72432c530c170a4fff135854d64d89ce6fae4fddfeafd4d549bc0", "evidence_core_sha256": "6e31502dbad72432c530c170a4fff135854d64d89ce6fae4fddfeafd4d549bc0", "capability_sha256": "24d70aa934ac5e6a8d80fc6d390e3e44feb4a9d5f99cb1d4583dca14ce2dfd8b", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.arcsin", "tool_id": "arcsin", "engine": "arcsin", "title": "Arcsine", "summary": "Principal arcsin(x) for x ∈ [−1, 1], returning degrees and radians with verification. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/arcsin", "api": "https://www.calculatorx.com/api/v1/calc/arcsin", "calculation_version": "1.1.0", "input_schema": { "$schema": "https://json-schema.org/draft/2020-12/schema", "$id": "https://www.calculatorx.com/schemas/math.arcsin.input.json", "title": "Arcsine — input", "type": "object", "additionalProperties": false, "anyOf": [ { "required": [ "x" ] }, { "required": [ "xInput" ] } ], "properties": { "x": { "anyOf": [ { "type": "number", "minimum": -1, "maximum": 1 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "anyOf": [ { "type": "number", "minimum": -1, "maximum": 1 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "description": "Alias for x. If both fields are supplied their normalized values must agree.", "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "$defs": { "normalized": { "type": "object", "additionalProperties": false, "required": [ "x" ], "properties": { "x": { "type": "number", "minimum": -1, "maximum": 1, "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "description": "Raw calculation inputs: provide x or xInput. JSON numbers and decimal strings are accepted. Strings normalize to binary64; conversion underflow is NUMERIC_UNDERFLOW, overflow/invalid syntax is INVALID_NUMBER, domain violation is NOT_REAL. Unknown fields are UNKNOWN_INPUT; conflicting aliases are AMBIGUOUS_INPUT. Normalized response inputs follow #/$defs/normalized. Version pin belongs in the request envelope. (calculation_version 1.1.0)", "x-unit-contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.arcsin", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.arcsin.input.json", "output": "https://www.calculatorx.com/schemas/math.arcsin.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.arcsin/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.arcsin/1.1.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.arcsin/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.arcsin/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.arcsin", "verification": { "tests": { "passed": 11, "total": 11, "golden": 6, "boundary": 5, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "x outside [−1, 1] → NOT_REAL", "Missing x → MISSING_REQUIRED_INPUT", "Near-common-value hint is display metadata; it does not replace the canonical deg/rad or assert mathematical exactness.", "Raw input accepts finite JSON numbers or decimal strings; normalized inputs contain numeric x only. Nonzero text rounded to zero is NUMERIC_UNDERFLOW.", "Unknown inputs are UNKNOWN_INPUT; x/xInput conflicts are AMBIGUOUS_INPUT.", "Legacy engine test counts are separate from the CVP Manifest suite. CVP identity is included; production status requires the linked report matched by version, revision and digest." ], "methods": [], "operations": [], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.arcsin", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": 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"eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": 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"capability_id": "math.arccos", "tool_id": "arccos", "engine": "arccos", "title": "Arccosine", "summary": "Principal arccos(x) for x ∈ [−1, 1], returning degrees and radians with verification. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/arccos", "api": "https://www.calculatorx.com/api/v1/calc/arccos", "calculation_version": "1.1.0", "input_schema": { "$schema": "https://json-schema.org/draft/2020-12/schema", "$id": "https://www.calculatorx.com/schemas/math.arccos.input.json", "title": "Arccosine — input", "type": "object", "additionalProperties": false, "anyOf": [ { "required": [ "x" ] }, { "required": [ "xInput" ] } ], "properties": { "x": { "anyOf": [ { "type": "number", "minimum": -1, "maximum": 1 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "anyOf": [ { "type": "number", "minimum": -1, "maximum": 1 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "description": "Alias for x. If both fields are supplied their normalized values must agree.", "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "$defs": { "normalized": { "type": "object", "additionalProperties": false, "required": [ "x" ], "properties": { "x": { "type": "number", "minimum": -1, "maximum": 1, "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "description": "Raw calculation inputs: provide x or xInput. JSON numbers and decimal strings are accepted. Strings normalize to binary64; conversion underflow is NUMERIC_UNDERFLOW, overflow/invalid syntax is INVALID_NUMBER, domain violation is NOT_REAL. Unknown fields are UNKNOWN_INPUT; conflicting aliases are AMBIGUOUS_INPUT. Normalized response inputs follow #/$defs/normalized. Version pin belongs in the request envelope. (calculation_version 1.1.0)", "x-unit-contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.arccos", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.arccos.input.json", "output": "https://www.calculatorx.com/schemas/math.arccos.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.arccos/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.arccos/1.1.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.arccos/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.arccos/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.arccos", "verification": { "tests": { "passed": 10, "total": 10, "golden": 5, "boundary": 5, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "x outside [−1, 1] → NOT_REAL", "Missing x → MISSING_REQUIRED_INPUT", "Near-common-value hint is display metadata; it does not replace the canonical deg/rad or assert mathematical exactness.", "Raw input accepts finite JSON numbers or decimal strings; normalized inputs contain numeric x only. Nonzero text rounded to zero is NUMERIC_UNDERFLOW.", "Unknown inputs are UNKNOWN_INPUT; x/xInput conflicts are AMBIGUOUS_INPUT.", "Legacy engine test counts are separate from the CVP Manifest suite. CVP identity is included; production status requires the linked report matched by version, revision and digest." ], "methods": [], "operations": [], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.arccos", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "18e0ece6d572ff8c71d1bbbe42abcb61fb6d86428ddcd7bea19f872ff495ce75", "output_schema_sha256": "146a751dcdf4193e8e9fa445879572f56639d8141d389a4a1cc7af426c468344", "evidence_sha256": "62def4c2fe5e0ecf5f174eca5c822902ab1dfc407db88fa1e525c33704fc4bf9", "evidence_core_sha256": "62def4c2fe5e0ecf5f174eca5c822902ab1dfc407db88fa1e525c33704fc4bf9", "capability_sha256": "98bacb94a384b942de3d3a58002346ef7ad5de7c01481c72ed66f3fb19f813ec", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.arctan", "tool_id": "arctan", "engine": "arctan", "title": "Arctangent", "summary": "Principal arctan(x) for any finite real x, returning degrees and radians with verification. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/arctan", "api": "https://www.calculatorx.com/api/v1/calc/arctan", "calculation_version": "1.1.0", "input_schema": { "$schema": "https://json-schema.org/draft/2020-12/schema", "$id": "https://www.calculatorx.com/schemas/math.arctan.input.json", "title": "Arctangent — input", "type": "object", "additionalProperties": false, "anyOf": [ { "required": [ "x" ] }, { "required": [ "xInput" ] } ], "properties": { "x": { "anyOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "anyOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$", "description": "Decimal text (optional sign, exponent or en-US thousands groups). Semantic validation rejects non-finite conversion, nonzero-to-zero underflow and values outside the numerical domain." } ], "description": "Alias for x. If both fields are supplied their normalized values must agree.", "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "$defs": { "normalized": { "type": "object", "additionalProperties": false, "required": [ "x" ], "properties": { "x": { "type": "number", "x-unit": "1", "x-unit-id": "cx:one", "x-quantity-kind": "ratio", "x-role": "scalar", "x-dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "x-uuce-unit": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "description": "Raw calculation inputs: provide x or xInput. JSON numbers and decimal strings are accepted. Strings normalize to binary64; conversion underflow is NUMERIC_UNDERFLOW, overflow/invalid syntax is INVALID_NUMBER, domain violation is NOT_REAL. Unknown fields are UNKNOWN_INPUT; conflicting aliases are AMBIGUOUS_INPUT. Normalized response inputs follow #/$defs/normalized. Version pin belongs in the request envelope. (calculation_version 1.1.0)", "x-unit-contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.arctan", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } } }, "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.arctan.input.json", "output": "https://www.calculatorx.com/schemas/math.arctan.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.arctan/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.arctan/1.1.0/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.arctan/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.arctan/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.arctan", "verification": { "tests": { "passed": 10, "total": 10, "golden": 7, "boundary": 3, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 10, "passed": 10, "failed": 0, "golden": { "total": 7, "passed": 7 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Missing x → MISSING_REQUIRED_INPUT", "Non-finite → INVALID_NUMBER", "Near-common-value hint is display metadata; it does not replace the canonical deg/rad or assert mathematical exactness.", "Raw input accepts finite JSON numbers or decimal strings; normalized inputs contain numeric x only. 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No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "x": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "xInput": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "hint.rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.0", "artifacts": { "engine": "1.1.0", "page": "1.1.0", "capability": "1.1.0", "evidence": "1.1.0", "input_schema": "1.1.0", "output_schema": "1.1.0", "mcp_contract": "1.1.0" }, "digests": { "input_schema_sha256": "58c29b934de5a3f999c3b49504ef808c926b6e3eb1aca944282be0e60bfef290", "output_schema_sha256": "4578880421b6e5448d36b531878611bc1b6ca3a042e6a06b7a82e24655bfe5ee", "evidence_sha256": "332fb2c2db077a959305c43344e77bd6585e8ba45b44e292937da3c3c4d8e7b4", "evidence_core_sha256": "332fb2c2db077a959305c43344e77bd6585e8ba45b44e292937da3c3c4d8e7b4", "capability_sha256": "8831ddd60e53907e5183f45c1d91f5956cd9ea696719e2f348ca1cbe9b7b576d", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.sum", "tool_id": "add", "engine": "sum", "title": "Sum / addition", "summary": "Exact decimal totals and rational means; scientific lists use finite Neumaier binary64; bounded Long addition shows complete place-value carry work. (calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/math/add", "api": "https://www.calculatorx.com/api/v1/calc/add", "calculation_version": "1.0.3", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.sum.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.sum.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.sum.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.sum.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.sum/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.sum/1.0.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.sum/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/math.sum/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/math.sum", "verification": { "tests": { "passed": 31, "total": 31, "golden": 24, "boundary": 7, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 31, "passed": 31, "failed": 0, "golden": { "total": 24, "passed": 24 }, "boundary": { "total": 7, "passed": 7 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Plain decimals:48 significant digits and48 fractional places;10000 values,65536 total characters,512 per token. Long:32 nonnegative plain decimals and48 aligned columns.", "sumStr/display are exact only for plain decimals and Long. Numeric fields/chart are binary64 conveniences; mean_rational_exact describes the source and numeric approximation flags describe representation. Repeating means round half away to4 decimal places.", "Any scientific token selects Neumaier binary64. Conversion, cancellation and intermediate range affect results; no universal ULP guarantee. Nonzero underflow and nonfinite intermediates rejected.", "Commas separate values, including apparent thousands groups, which issue a warning. Units are not parsed. Share links use the current engine; historical runtimes are not retained." ], "methods": [ "Exact decimal summation for finite decimal tokens", "Neumaier compensated summation when scientific notation is present", "Place-value long addition with carrying" ], "operations": [ "sum", "long" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "0b8022236b6aaf0fc889e544ede24fb9c25860b902d69dfdcecb5ae33f393d40", "output_schema_sha256": "33b3cda2930b518af8c98e2b004bef2b5fce37e604920acb0344dc1d69f5f29f", "evidence_sha256": "3ea319d0b03a4f19695b5f9e62bcf356b46e59b55f95a4037ce1024cbf0e03c6", "evidence_core_sha256": "3ea319d0b03a4f19695b5f9e62bcf356b46e59b55f95a4037ce1024cbf0e03c6", "capability_sha256": "bcc934584fe63383f1c0db40386cdca5967ccd472ae91fd4e51b1c41c7bc96e1", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.subtraction", "tool_id": "subtraction", "engine": "subtraction", "title": "Subtraction", "summary": "Solve any missing subtraction term with binary64, or exact non-negative decimal Long subtraction with borrowing up to48 aligned columns. (calculation_version 1.0.2)", "page": "https://www.calculatorx.com/calc/math/subtraction", "api": "https://www.calculatorx.com/api/v1/calc/subtraction", "calculation_version": "1.0.2", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.subtraction.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.subtraction.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.subtraction.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.subtraction.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.subtraction/1.0.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.subtraction/1.0.2/output.json", "by_operation": { "difference": "https://www.calculatorx.com/schemas/math.subtraction/difference.input.json", "long": "https://www.calculatorx.com/schemas/math.subtraction/long.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.subtraction/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/math.subtraction/1.0.2", "capability_page": "https://www.calculatorx.com/capabilities/math.subtraction", "verification": { "tests": { "passed": 7, "total": 7, "golden": 6, "boundary": 1, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 7, "passed": 7, "failed": 0, "golden": { "total": 6, "passed": 6 }, "boundary": { "total": 1, "passed": 1 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Difference requires exactly two terms and uses binary64, not exact decimal arithmetic. All normalized integral operands must be safe integers. Cancellation may amplify input/conversion error; measurement uncertainty is not modeled.", "Long uses exact decimal strings; display and exact_value are authoritative. Numeric fields are approximate binary64 conveniences. Up to48 aligned columns, non-negative inputs, negative result allowed; no scientific notation.", "Tokens at most512 characters, without commas. Unknown fields, invalid types/modes, conflicting aliases and text nonzero underflow rejected.", "Shared links run the current engine; they do not retain historical runtimes." ], "methods": [], "operations": [ "difference", "long" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.2", "artifacts": { "engine": "1.0.2", "page": "1.0.2", "capability": "1.0.2", "evidence": "1.0.2", "input_schema": "1.0.2", "output_schema": "1.0.2", "mcp_contract": "1.0.2" }, "digests": { "input_schema_sha256": "9c1ec7b28cf3db713c746af9b7c016edd000313cd43b41beef982823a07ce98c", "output_schema_sha256": "e09c05e6abaec6df6a02613c008f543607e5cd1e7174e36a5cceb8bf92951299", "evidence_sha256": "73cea6764fb8fb66701c44192bac87dc249e5690978ae6b9e7d3064d0fe4fb18", "evidence_core_sha256": "73cea6764fb8fb66701c44192bac87dc249e5690978ae6b9e7d3064d0fe4fb18", "capability_sha256": "1c416f77cf6aebf695a6aa668912968324ceb84e3a975c5eaae8da1f0ab67be6", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.divide", "tool_id": "division", "engine": "divide", "title": "Division", "summary": "Binary64 quotient with0–16 display places, or exact non-negative integer long division and full working up to48 digits. 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Use Long mode with non-negative integer strings for larger values, up to48 digits.", "Tokens at most512 characters; unknown fields, mode/type errors and conflicting aliases rejected. Nonzero text/JSON/result underflow is rejected; subnormal nonzero values accepted.", "Division by zero and overflow rejected. 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Any three of x₀, r/k, t, x(t) solve the fourth; all four verify displayed-precision consistency. (calculation_version 1.1.0)", "page": "https://www.calculatorx.com/calc/math/exponential-growth", "api": "https://www.calculatorx.com/api/v1/calc/exponential-growth", "calculation_version": "1.1.0", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.exponential_growth.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.exponential_growth.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.exponential_growth.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.exponential_growth.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.exponential_growth/1.1.0/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.exponential_growth/1.1.0/output.json", "by_operation": { "xt": "https://www.calculatorx.com/schemas/math.exponential_growth/xt.input.json", "t": "https://www.calculatorx.com/schemas/math.exponential_growth/t.input.json", "x0": "https://www.calculatorx.com/schemas/math.exponential_growth/x0.input.json", "rate": "https://www.calculatorx.com/schemas/math.exponential_growth/rate.input.json", "verify": "https://www.calculatorx.com/schemas/math.exponential_growth/verify.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.exponential_growth/1.1.0.json", "evidence_page": "https://www.calculatorx.com/evidence/math.exponential_growth/1.1.0", "capability_page": "https://www.calculatorx.com/capabilities/math.exponential_growth", "verification": { "tests": { "passed": 20, "total": 20, "golden": 14, "boundary": 6, "property": 0 }, "contract_checks": { "passed": 29, "total": 29 } }, "evidence_tests": { "total": 20, "passed": 20, "failed": 0, "golden": { "total": 14, "passed": 14 }, "boundary": { "total": 6, "passed": 6 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 29, "passed": 29, "failed": 0 } }, "limitations": [ "Periodic x(t)=x0(1+r/100)^t requires r>-100%; continuous x(t)=x0 exp(k t) uses ratePct=k per time unit, not percent. Signed amplitudes allowed; inverse time/rate require matching nonzero signs.", "Provide any three fields or four to compare calculated xt using display quantization. Zero rate/time can make inverses undefined or nonunique. Blank/null fields are missing.", "Strict decimal/scientific text up to512 characters; nonzero input rounding tozero rejects NUMERIC_UNDERFLOW. Conflicting aliases/unknown fields/models reject. Output is finite unrounded binary64; overflow/underflow reject.", "Independent Decimal1200/1600 fixed vectors use predeclared4e-12 relative budget plus2 subnormal quanta, strictzero/sign/type. Legacy O3 remains separately tested32ULP. No whole-domain or cross-runtime guarantee; inverse conditioning degrades at zero rate/time and amplitude ratios near1.", "Typing local; shared URLs, REST and MCP transmit inputs and may enter logs. 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(calculation_version 2.0.1)", "page": "https://www.calculatorx.com/calc/math/scientific-notation", "api": "https://www.calculatorx.com/api/v1/calc/scientific-notation", "calculation_version": "2.0.1", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.scientific_notation.input.json", "output": "https://www.calculatorx.com/schemas/math.scientific_notation.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.scientific_notation/2.0.1/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.scientific_notation/2.0.1/output.json", "by_operation": { "convert": "https://www.calculatorx.com/schemas/math.scientific_notation/convert.input.json", "engineering": "https://www.calculatorx.com/schemas/math.scientific_notation/engineering.input.json", "normalize": "https://www.calculatorx.com/schemas/math.scientific_notation/normalize.input.json", "operate": "https://www.calculatorx.com/schemas/math.scientific_notation/operate.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.scientific_notation/2.0.1.json", "evidence_page": "https://www.calculatorx.com/evidence/math.scientific_notation/2.0.1", "capability_page": "https://www.calculatorx.com/capabilities/math.scientific_notation", "verification": { "tests": { "passed": 9, "total": 9, "golden": 4, "boundary": 5, "property": 0 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 9, "passed": 9, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Canonical Agent modes are convert / engineering / normalize / operate. dec-sci, sci-dec, numInput, coefInput, expInput, aInput, bInput are URL/engine adapter aliases, not the Agent contract.", "Missing/invalid numbers → INVALID_NUMBER / MISSING_REQUIRED_INPUT", "Division by zero in operate → DIVISION_BY_ZERO", "Each numeric text token is at most512 characters. Normalize exponent is an integer within±10000. Decimal exponents in A×10^n are combined before one binary64 conversion; finite nonzero subnormals accepted; nonzero values rounded to zero are rejected.", "Matching adapter aliases only; inactive/unknown fields and invalid mode/op are rejected. Shortest binary64 decimal display does not preserve significant figures. Shared URLs reach the server." ], "methods": [ "IEEE-754 binary64 parse of decimal / E-notation / A×10ⁿ", "Normalize via Number#toExponential; engineering exponent ≡ 0 (mod 3)", "Test suites are not interchangeable: 20 published examples on this page · 124 automated engine checks (IUT) · CVP verification suite on Evidence (Manifest is the verification source of truth)" ], "operations": [ "convert", "engineering", "normalize", "operate" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "2.0.1", "artifacts": { "engine": "2.0.1", "page": "2.0.1", "capability": "2.0.1", "evidence": "2.0.1", "input_schema": "2.0.1", "output_schema": "2.0.1", "mcp_contract": "2.0.1" }, "digests": { "input_schema_sha256": "4756bfd7d99f3e794b01565b1a471e36291ed736a53492e8510ea70bd8afe8d7", "output_schema_sha256": "aa2cb423283955ce4ae093b9eaa7fa8f69d4d5137340ab83fe5392d68026733e", "evidence_sha256": "73abb82b9900c7ad3aa465b0214b7d118a6cb17c60f0639403d8e19223a3354f", "evidence_core_sha256": "73abb82b9900c7ad3aa465b0214b7d118a6cb17c60f0639403d8e19223a3354f", "capability_sha256": "104dbeea4fbe576f54d49e875e76cd158929089790a697cbd11ee870605669c2", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "2.0.1" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.multiplication", "tool_id": "multiplication", "engine": "multiplication", "title": "Multiplication", "summary": "Exact decimal product of multiplicand × multiplier, with optional long-multiplication work. (calculation_version 1.0.4)", "page": "https://www.calculatorx.com/calc/math/multiplication", "api": "https://www.calculatorx.com/api/v1/calc/multiplication", "calculation_version": "1.0.4", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.multiplication.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.multiplication.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.multiplication.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.multiplication.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.multiplication/1.0.4/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.multiplication/1.0.4/output.json", "by_operation": { "product": "https://www.calculatorx.com/schemas/math.multiplication/product.input.json", "long": "https://www.calculatorx.com/schemas/math.multiplication/long.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.multiplication/1.0.4.json", "evidence_page": "https://www.calculatorx.com/evidence/math.multiplication/1.0.4", "capability_page": "https://www.calculatorx.com/capabilities/math.multiplication", "verification": { "tests": { "passed": 15, "total": 15, "golden": 10, "boundary": 5, "property": 0 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 15, "passed": 15, "failed": 0, "golden": { "total": 10, "passed": 10 }, "boundary": { "total": 5, "passed": 5 }, "property": { "total": 0, "passed": 0 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Exactness applies to accepted plain decimal tokens, not values rounded by a client before sending. Unsafe JSON integer numbers rejected; strings preserve full source digits.", "512 characters and48 significant digits per factor; trailing zeros count.", "Long grid limited to24 significant digits and24 displayed digit places per normalized factor; otherwise no work, LONG_GRID_TRUNCATED, and full exact product.", "productStr is authoritative; product is approximate or null on binary64 range loss. Share links use current engine, not historical replay." ], "methods": [], "operations": [ "product", "long" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.4", "artifacts": { "engine": "1.0.4", "page": "1.0.4", "capability": "1.0.4", "evidence": "1.0.4", "input_schema": "1.0.4", "output_schema": "1.0.4", "mcp_contract": "1.0.4" }, "digests": { "input_schema_sha256": "e8bea4b5fe595fab4051b788b43b902441dd63d870e9c76cec05ab4033bd806c", "output_schema_sha256": "571f599faa0525a92c76e3cc644e97f876caab84a844c897c0dd74dc9de904ce", "evidence_sha256": "dec6308790c26b8d47dcaa993b7c6d6e056f98ddfa7c9eebcd721ef6a19f9aab", "evidence_core_sha256": "dec6308790c26b8d47dcaa993b7c6d6e056f98ddfa7c9eebcd721ef6a19f9aab", "capability_sha256": "7be5e7aa7ac4ad019b04efec87a96d20f3f2a441108198a1b4e0aa182e3aa5cd", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.4" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.combinatorics", "tool_id": "combinatorics", "engine": "combinatorics", "title": "Permutations and combinations", "summary": "Exact P(n,k) and C(n,k) for integers 0 ≤ k ≤ n ≤ 1000 via the multiplicative formula. Not a factorial product page. (calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/math/permutation-combination", "api": "https://www.calculatorx.com/api/v1/calc/combinatorics", "calculation_version": "1.0.3", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.combinatorics.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.combinatorics.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.combinatorics.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.combinatorics.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.combinatorics/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.combinatorics/1.0.3/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.combinatorics/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/math.combinatorics/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/math.combinatorics", "verification": { "tests": { "passed": 11, "total": 11, "golden": 2, "boundary": 3, "property": 6 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 11, "passed": 11, "failed": 0, "golden": { "total": 2, "passed": 2 }, "boundary": { "total": 3, "passed": 3 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Distinct items without replacement;0<=k<=n<=1000. k>n is rejected, even though some mathematical libraries extend C(n,k)=0 beyond this product domain.", "Safe JSON integers or integer strings with at most4digits/512characters; aliases must agree; strict types and unknown keys.", "Exact count uses BigInt. Counts above18digits have explicitly approximate8-significant-digit previews; full exact counts, formula and working are exported.", "Not multinomials, with-replacement counts or a standalone factorial tool. JSON numeric literals obey IEEE-754 transport before safe-integer validation; raw nonzero-to-zero underflow is rejected." ], "methods": [], "operations": [ "combination", "permutation" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "c15f960dd5a1b6c848e78850bf04d8ccaa6e90e8c230bf8efbbb28ecea9c5d68", "output_schema_sha256": "5d7bcaf6b9b2cb052afa182260de02dad620a0cca00d7e55edea48d9ab6e4904", "evidence_sha256": "72cc68ca8e5827b53af0cea1bc96dc7b2c1e9d9244dafcb45ad6b5fa28f342b2", "evidence_core_sha256": "72cc68ca8e5827b53af0cea1bc96dc7b2c1e9d9244dafcb45ad6b5fa28f342b2", "capability_sha256": "b1c042608fef81b9d00bc7faa233a9b200101e32f27530b53fdf71766488d568", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.modulo", "tool_id": "modulo", "engine": "modulo", "title": "Euclidean remainder / modular inverse", "summary": "Exact Euclidean remainder/quotient and modular inverse for signed integers; canonical Bézout coefficients satisfy the original-input identity. (calculation_version 1.1.2)", "page": "https://www.calculatorx.com/calc/math/modulo", "page_aliases": [ { "tool_id": "modular-inverse", "page": "https://www.calculatorx.com/calc/math/modular-inverse", "api": "https://www.calculatorx.com/api/v1/calc/modular-inverse" } ], "api": "https://www.calculatorx.com/api/v1/calc/modulo", "calculation_version": "1.1.2", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.modulo.agent.input.json", "input_rest": "https://www.calculatorx.com/schemas/math.modulo.input.json", "agent_input": "https://www.calculatorx.com/schemas/math.modulo.agent.input.json", "output": "https://www.calculatorx.com/schemas/math.modulo.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.modulo/1.1.2/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.modulo/1.1.2/output.json", "by_operation": { "remainder": "https://www.calculatorx.com/schemas/math.modulo/remainder.input.json", "inverse": "https://www.calculatorx.com/schemas/math.modulo/inverse.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.modulo/1.1.2.json", "evidence_page": "https://www.calculatorx.com/evidence/math.modulo/1.1.2", "capability_page": "https://www.calculatorx.com/capabilities/math.modulo", "verification": { "tests": { "passed": 13, "total": 13, "golden": 3, "boundary": 4, "property": 6 }, "contract_checks": { "passed": 5, "total": 5 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 3, "passed": 3 }, "boundary": { "total": 4, "passed": 4 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 5, "passed": 5, "failed": 0 } }, "limitations": [ "Integer tokens up to48 digits and512 characters; JSON numeric integers must be safe. Use digit strings for larger exact integers; no decimal/scientific syntax.", "Euclidean0<=r<|m|; nonzero modulus. Inverse requires |m|>=2 and gcd(a,m)=1. Canonical bezout_x=inverse, bezout_y=(1-a*inverse)/modulus.", "Numeric outputs are safe integers; larger exact values use decimal strings. No floating rounding or measurement-uncertainty model. Not constant-time cryptography.", "Share links use the current engine. The modular-inverse entry locks inverse, overriding a conflicting mode parameter." ], "methods": [], "operations": [ "remainder", "inverse" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.2", "artifacts": { "engine": "1.1.2", "page": "1.1.2", "capability": "1.1.2", "evidence": "1.1.2", "input_schema": "1.1.2", "output_schema": "1.1.2", "mcp_contract": "1.1.2" }, "digests": { "input_schema_sha256": "62bb947505f772be313af5e28c614680ab050f49cfe4ecae5da6850f1366e87c", "output_schema_sha256": "9caa31ab215816f30bf5fbab15ac0c4be836f84da2137a3a9b26081623180186", "evidence_sha256": "2bbb17a4e2f9a47bbb4b1ab0e678c8490a78b9bff4f6abe0a3767f2d6b951391", "evidence_core_sha256": "2bbb17a4e2f9a47bbb4b1ab0e678c8490a78b9bff4f6abe0a3767f2d6b951391", "capability_sha256": "2d9f18fa7dc7caadaebc44edb2332e4c38c5d8ed345f1f6ae56636b219e0c5c5", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.2" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.sequences", "tool_id": "sequence", "engine": "sequence", "title": "Integer sequences", "summary": "Arithmetic and geometric sequences, Fibonacci (F_0=0), and linear recurrences. Exact BigInt. Discovery pages share this capability. Not Pascal, not partition, not n!. Engine id is sequence — never arithmetic. (calculation_version 1.0.3)", "page": "https://www.calculatorx.com/calc/math/sequence", "page_aliases": [ { "tool_id": "arithmetic-sequence", "page": "https://www.calculatorx.com/calc/math/arithmetic-sequence", "api": "https://www.calculatorx.com/api/v1/calc/arithmetic-sequence" }, { "tool_id": "geometric-sequence", "page": "https://www.calculatorx.com/calc/math/geometric-sequence", "api": "https://www.calculatorx.com/api/v1/calc/geometric-sequence" }, { "tool_id": "fibonacci", "page": "https://www.calculatorx.com/calc/math/fibonacci", "api": "https://www.calculatorx.com/api/v1/calc/fibonacci" } ], "api": "https://www.calculatorx.com/api/v1/calc/sequence", "calculation_version": "1.0.3", "trust_envelope": "cvp_review", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.sequences.input.json", "output": "https://www.calculatorx.com/schemas/math.sequences.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.sequences/1.0.3/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.sequences/1.0.3/output.json", "by_operation": { "arithmetic": "https://www.calculatorx.com/schemas/math.sequences/arithmetic.input.json", "geometric": "https://www.calculatorx.com/schemas/math.sequences/geometric.input.json", "fibonacci": "https://www.calculatorx.com/schemas/math.sequences/fibonacci.input.json", "linear_recurrence": "https://www.calculatorx.com/schemas/math.sequences/linear_recurrence.input.json" } }, "evidence": "https://www.calculatorx.com/evidence/math.sequences/1.0.3.json", "evidence_page": "https://www.calculatorx.com/evidence/math.sequences/1.0.3", "capability_page": "https://www.calculatorx.com/capabilities/math.sequences", "verification": { "tests": { "passed": 12, "total": 12, "golden": 4, "boundary": 2, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 12, "passed": 12, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Exact integer arithmetic for four modes;AP/GP n=1..1000,Fibonacci/recurrence n=0..1000. Coefficients at most48 digits,rawtokens at most512 characters,index at most4 digits.", "Digit strings only;unsafe JSON numbers rejected. Aliases must agree;unknown andinactive inputs rejected. Results use JSON numbers only within safe integers, otherwise exact decimal strings.", "37 independent Python integer-enumeration/matrix-power full packs;exact complete structure/type/metadata comparison,notthird-party certification.", "Large orindistinguishable exact terms omit graph explicitly;fullintegers remain inresult/work/nativeexports. Continuousreal-valued ornonintegersequences unsupported." ], "methods": [], "operations": [ "arithmetic", "geometric", "fibonacci", "linear_recurrence" ], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.0.3", "artifacts": { "engine": "1.0.3", "page": "1.0.3", "capability": "1.0.3", "evidence": "1.0.3", "input_schema": "1.0.3", "output_schema": "1.0.3", "mcp_contract": "1.0.3" }, "digests": { "input_schema_sha256": "70b976f827b6b541f52ad47483d655ac1e3685da8de9c790728b520f6a64e89c", "output_schema_sha256": "004ebd84d52e458b1f969a092fc8b7b15c53d373238546a617675f7be7955d1d", "evidence_sha256": "b76131ba5e0d6a1b316cec2975fdafddd1d9bbabde0041e74b44513ef87abe2c", "evidence_core_sha256": "b76131ba5e0d6a1b316cec2975fdafddd1d9bbabde0041e74b44513ef87abe2c", "capability_sha256": "662a4d31a50eba352660cb1d0d9ae55397c584c02d606c83ffbf3659581683d7", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.0.3" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.prime_factorization", "tool_id": "prime-factorization", "engine": "prime-factorization", "title": "Prime factorization", "summary": "Exact bounded prime factorization and primality with sorted factors/exponents, complete counts and empty-product handling for1. 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No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": { "arg_deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "arg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "outputs": { "arg_deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "roots.*.arg_deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "applicability": "Angular fields apply only when present in the selected complex operation; formatted euler/cis strings are not measured fields." }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.3.0", "artifacts": { "engine": "1.3.0", "page": "1.3.0", "capability": "1.3.0", "evidence": "1.3.0", "input_schema": "1.3.0", "output_schema": "1.3.0", "mcp_contract": "1.3.0" }, "digests": { "input_schema_sha256": "72afe573472e73e6f011c632f9ba19c5edd4f712c2e983310dc52e3dd218b996", "output_schema_sha256": "a0b90070ae3b09aca4baf9b9c4e2a2f01794d0c9b72b8118e386cd4a8a99eb82", "evidence_sha256": "bac843081a1f0529afcb820871c4629d8556f76f8e6edd10bc263c936c610005", "evidence_core_sha256": "bac843081a1f0529afcb820871c4629d8556f76f8e6edd10bc263c936c610005", "capability_sha256": "8d2e0d64f1403e606dd95ebc6b4d29d34246cf0053c0920fa4aa26fa5c2413b7", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 5, "passed": 5, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.3.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.geometry.circle", "tool_id": "circle", "engine": "circle", "title": "Circle", "summary": "Radius, diameter, circumference, area, arc length, and sector area of a Euclidean circle. Discovery /sector, /arc. Not the Pythagorean page, not /spherical-sector, not CAS. 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Nonzero-to-zero conversion is NUMERIC_UNDERFLOW; positive length/area is required; normalized numeric values must fit the published normal-output envelope.", "x-quantity-kind": "length", "x-dimension": [ 1, 0, 0, 0, 0, 0, 0 ], "x-unit-policy": "arbitrary_consistent_length", "x-uuce-role": "scalar" }, "radius": { "anyOf": [ { "type": "number", "exclusiveMinimum": 0 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite JSON number or decimal text. Nonzero-to-zero conversion is NUMERIC_UNDERFLOW; positive length/area is required; normalized numeric values must fit the published normal-output envelope.", "x-quantity-kind": "length", "x-dimension": [ 1, 0, 0, 0, 0, 0, 0 ], "x-unit-policy": "arbitrary_consistent_length", "x-uuce-role": "scalar" }, "diameter": { "anyOf": [ { "type": "number", "exclusiveMinimum": 0 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite JSON number or decimal text. Nonzero-to-zero conversion is NUMERIC_UNDERFLOW; positive length/area is required; normalized numeric values must fit the published normal-output envelope.", "x-quantity-kind": "length", "x-dimension": [ 1, 0, 0, 0, 0, 0, 0 ], "x-unit-policy": "arbitrary_consistent_length", "x-uuce-role": "scalar" }, "d": { "anyOf": [ { "type": "number", "exclusiveMinimum": 0 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite JSON number or decimal text. 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Nonzero-to-zero conversion is NUMERIC_UNDERFLOW; positive length/area is required; normalized numeric values must fit the published normal-output envelope.", "x-quantity-kind": "area", "x-dimension": [ 2, 0, 0, 0, 0, 0, 0 ], "x-unit-policy": "input_length_unit_squared", "x-uuce-role": "scalar" }, "theta_deg": { "anyOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)|(?:[0-9]{1,3}(?:,[0-9]{3})+(?:\\.[0-9]*)?))(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite JSON number or decimal text. 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"^\\s*(?:[fF][rR][oO][mM][_-][rR][aA][dD][iI][uU][sS]|[rR][aA][dD][iI][uU][sS]|[rR])\\s*$" } }, "required": [ "mode" ] } ] }, "then": { "allOf": [ { "anyOf": [ { "required": [ "r" ] }, { "required": [ "radius" ] } ] } ] } }, { "if": { "anyOf": [ { "properties": { "mode": { "type": "string", "pattern": "^\\s*(?:[fF][rR][oO][mM][_-][dD][iI][aA][mM][eE][tT][eE][rR]|[dD][iI][aA][mM][eE][tT][eE][rR])\\s*$" } }, "required": [ "mode" ] } ] }, "then": { "allOf": [ { "anyOf": [ { "required": [ "diameter" ] }, { "required": [ "d" ] } ] } ] } }, { "if": { "anyOf": [ { "properties": { "mode": { "type": "string", "pattern": "^\\s*(?:[fF][rR][oO][mM][_-][cC][iI][rR][cC][uU][mM][fF][eE][rR][eE][nN][cC][eE]|[cC][iI][rR][cC][uU][mM][fF][eE][rR][eE][nN][cC][eE]|[fF][rR][oO][mM][_-][cC])\\s*$" } }, "required": [ "mode" ] } ] }, "then": { "allOf": [ { "anyOf": [ { "required": [ "circumference" ] } ] } ] } }, { "if": { "anyOf": [ { "properties": { "mode": { "type": "string", "pattern": 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Discovery /ellipse, /parabola, /hyperbola. Not the circle-only page, not coordinate geometry, not CAS. 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Slope is not share-key m. Discovery /line-equation, /point-line-distance, /line-intersection, /angle-between-lines. Not Pythagorean, not CAS. 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Explicit empty or null is invalid.", "Nonzero inputs and published fields must be finite normal binary64 (at least 2^-1022); NUMERIC_RANGE requires rescaling. Decimal text that rounds to zero is NUMERIC_UNDERFLOW.", "Dot/cross/triple, addition and projection use exact dyadic intermediate arithmetic; published values are binary64, not arbitrary precision. Magnitude, normalization and angle are approximate.", "Zero u is valid for magnitude and projection; zero direction is invalid for normalize/angle and zero v is invalid for projection.", "Included angle is atan2(|u×v|,u·v) in [0°,180°], with radians and cosine. Direction becomes sensitive near zero; relative component accuracy can deteriorate under cancellation.", "Consistent component units: magnitude/add/sub/projection retain units, dot/cross square units, triple cubes units, normalized components and projection scale dimensionless.", "Figures show only exact z=0 modes other than cross/triple. A shared linear scale can hide subpixel arrows; those are labeled, never changed to zero.", "Not matrices, coordinate geometry or CAS. Unknown mode is INVALID_MODE; unsupported input keys are rejected." ], "methods": [], "operations": [], "unit_contract": { "protocol": "calculatorx-field-unit-contract-v1", "capability_id": "math.vector", "registry_version": "0.3.0-preview.3", "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.", "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.", "inputs": {}, "outputs": { "angle_deg": { "unit": "deg", "reference": { "unit_id": "cx:deg", "revision": "1.0.0", "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b", "dependency_digest": "eef386126ec6524884c84bab06f2a96996df913376c0ce5ccdaca0e7faf7b9c3", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "angle_rad": { "unit": "rad", "reference": { "unit_id": "cx:rad", "revision": "1.0.0", "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e", "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad", "quantity_kind": "plane_angle", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "cosine": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "nx": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "ny": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } }, "nz": { "unit": "1", "reference": { "unit_id": "cx:one", "revision": "1.0.0", "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599", "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5", "quantity_kind": "ratio", "dimension": [ 0, 0, 0, 0, 0, 0, 0 ], "registry_version": "0.3.0-preview.3", "digest_contract": "calculatorx-unit-definition-digests-v2", "registry_status": "preview", "definition_lifecycle": "candidate", "role": "scalar" } } }, "quantity_policy": { "physical_unit_id": null, "input_policy": "Components within each vector use a consistent arbitrary operand unit.", "derived_policy": "Magnitude inherits its operand unit; dot/cross products combine operand units, triple products combine three. Normalized direction components and cosine are ratios." } }, "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.8.0", "artifacts": { "engine": "1.8.0", "page": "1.8.0", "capability": "1.8.0", "evidence": "1.8.0", "input_schema": "1.8.0", "output_schema": "1.8.0", "mcp_contract": "1.8.0" }, "digests": { "input_schema_sha256": "5ba058f2d52be4984d0d5b9a9c6e52d5e33dd0ff221d312c408ed2d138d78904", "output_schema_sha256": "3ce868949e3ae401b3fbc839d7adcdb615733a4e1b76b866f8166d3325629f61", "evidence_sha256": "2940ea188ddee846cf61d4af73fadccb3d20a0acc35ac376baedca51cec8a119", "evidence_core_sha256": "2940ea188ddee846cf61d4af73fadccb3d20a0acc35ac376baedca51cec8a119", "capability_sha256": "e65f78527f9e6e434b066fe1d7c8d900e9dd61ff5ca89031563cde50e944bde3", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.8.0" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.geometry.solid", "tool_id": "solid-geometry", "engine": "solid-geometry", "title": "Solid geometry", "summary": "Volume, surface and secondary dimensions for20 Euclidean solid models. Strict decimal inputs, one consistent length unit, binary64 normal-range outputs, bounded figures; ellipsoid surface uses spheroid forms or incomplete elliptic integrals. 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not oblique", "Not the circle-only page — 2-D circle stays on math.geometry.circle", "Not a vector — math.vector is R²/R³ algebra", "Not ISO 5167-5 cone meter (physics.fluid.iso_cone)", "Torus is a ring torus: major R > tube r; horn/spindle out of scope", "Right circular frustum needs R,r,h>0; r=R recovers a cylinder; not a cone page", "Right rectangular prism needs a,b,h>0; a=b=h is a cube; not a frustum page", "Right rectangular pyramid needs a,b,h>0; V=abh/3; apex above the base center; a=b is a square base; not a prism page", "Regular tetrahedron needs a>0; V=a³√2/12, A=a²√3; not a rectangular pyramid page", "Regular octahedron needs a>0; V=(√2/3)a³, A=2√3 a²; not a tetrahedron page", "Regular icosahedron needs a>0; V=(5/12)(3+√5)a³, A=5√3 a²; not an octahedron page", "Regular dodecahedron needs a>0; V=(1/4)(15+7√5)a³, A=3√(25+10√5) a²; not an icosahedron page", "Regular n-gon prism needs integer n≥3 and s,h>0; base from math.geometry.plane; n=4 matches a square rectangular prism; not /prism; not an n-gon pyramid", "Regular n-gon pyramid needs integer n≥3 and s,h>0; V=A h/3 with A from math.geometry.plane; n=4 matches a square rectangular pyramid; not /pyramid; not a tetrahedron; not /regular-frustum", "Regular n-gon frustum needs integer n≥3 and s,t,h>0; V=h/3(A+a+√(Aa)) with A,a from math.geometry.plane; s=t recovers a regular prism; lateral faces from the plane isosceles trapezoid; not /frustum; not /regular-pyramid", "Ellipsoid needs a,b,c>0; V=4/3 πabc; surface is the exact elliptic-integral / spheroid model numerically evaluated (modulus k, not m=k²); axes sorted internally; a=b=c is a sphere; not /sphere; not the 2-D ellipse", "Spherical cap needs r>0 and 00; V=(πh/6)(3a²+3b²+h²); r recovered; a=b is symmetric; not /spherical-cap; not /sphere; not a spherical wedge", "Spherical wedge needs r>0 and 0<θ≤360°; V=(2/3)r³θ with θ in radians; θ=180° is a hemisphere; θ=360° is a sphere; not /spherical-cap; not /spherical-zone; not /sphere; not a spherical lune", "Spherical lune needs r>0 and 0<θ≤360°; 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Intermediate overflow is avoided. 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Evaluate F(s) or f(t). Discovery /inverse-laplace. Not DFT, not Z, not Bromwich, not CAS. 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Omitted mode/f defaults laplace/exp. Active coordinate required. Optional blank parameters use stated defaults; null/underflow/alias conflicts rejected. Secondary engine validation enforces normalized token/domain/n constraints. 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Nonzero text underflow is rejected; strings do not extend precision." } }, "rhs": { "type": "array", "minItems": 2, "maxItems": 4, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "n": { "type": "integer", "minimum": 2, "maximum": 4 }, "m": { "type": "integer", "minimum": 2, "maximum": 4 }, "b11": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b12": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b13": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a14": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b14": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b21": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b22": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b23": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a24": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b24": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b31": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b32": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b33": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a34": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b34": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b4": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a41": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b41": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a42": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b42": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a43": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b43": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "a44": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." }, "b44": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "anyOf": [ { "required": [ "A" ] }, { "required": [ "a11" ] } ], "allOf": [ { "if": { "anyOf": [ { "required": [ "rows", "cols" ], "properties": { "rows": { "const": 2 }, "cols": { "const": 2 } } }, { "required": [ "m", "cols" ], "properties": { "m": { "const": 2 }, "cols": { "const": 2 } } }, { "required": [ "order" ], "properties": { "order": { "enum": [ 2, "2", "2x2", "2×2" ] } } }, { "required": [ "n" ], "properties": { "n": { "const": 2 } } }, { "not": { "anyOf": [ { "required": [ "order" ] }, { "required": [ "n" ] }, { "required": [ "rows" ] }, { "required": [ "m" ] }, { "required": [ "cols" ] } ] } } ] }, "then": { "properties": { "A": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "allOf": [ { "anyOf": [ { "required": [ "A" ] }, { "required": [ "a11", "a12", "a21", "a22" ] } ] }, { "if": { "anyOf": [ { "not": { "required": [ "mode" ] } }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "solve", "system", "axb", "linear-system", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } } ] }, "then": { "properties": { "b": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "rhs": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } }, "anyOf": [ { "required": [ "b" ] }, { "required": [ "rhs" ] }, { "required": [ "b1", "b2" ] } ] } }, { "if": { "required": [ "mode" ], "properties": { "mode": { "enum": [ "multiply", "mul", "product" ] } } }, "then": { "properties": { "B": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "anyOf": [ { "required": [ "B" ] }, { "required": [ "b11", "b12", "b21", "b22" ] } ] } } ] } }, { "if": { "anyOf": [ { "required": [ "rows", "cols" ], "properties": { "rows": { "const": 2 }, "cols": { "const": 3 } } }, { "required": [ "m", "cols" ], "properties": { "m": { "const": 2 }, "cols": { "const": 3 } } }, { "required": [ "order" ], "properties": { "order": { "enum": [ "2x3", "2×3" ] } } } ] }, "then": { "properties": { "A": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "allOf": [ { "anyOf": [ { "required": [ "A" ] }, { "required": [ "a11", "a12", "a13", "a21", "a22", "a23" ] } ] }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "qr", "householder", "factor-qr", "svd", "singular", "singular_value", "singular_values", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } }, { "if": { "anyOf": [ { "not": { "required": [ "mode" ] } }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "solve", "system", "axb", "linear-system", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } } ] }, "then": { "properties": { "b": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "rhs": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } }, "anyOf": [ { "required": [ "b" ] }, { "required": [ "rhs" ] }, { "required": [ "b1", "b2" ] } ] } }, { "if": { "required": [ "mode" ], "properties": { "mode": { "enum": [ "multiply", "mul", "product" ] } } }, "then": { "properties": { "B": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "anyOf": [ { "required": [ "B" ] }, { "required": [ "b11", "b12", "b13", "b21", "b22", "b23" ] } ] } } ] } }, { "if": { "anyOf": [ { "required": [ "rows", "cols" ], "properties": { "rows": { "const": 2 }, "cols": { "const": 4 } } }, { "required": [ "m", "cols" ], "properties": { "m": { "const": 2 }, "cols": { "const": 4 } } }, { "required": [ "order" ], "properties": { "order": { "enum": [ "2x4", "2×4" ] } } } ] }, "then": { "properties": { "A": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 4, "maxItems": 4, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "allOf": [ { "anyOf": [ { "required": [ "A" ] }, { "required": [ "a11", "a12", "a13", "a14", "a21", "a22", "a23", "a24" ] } ] }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "qr", "householder", "factor-qr", "svd", "singular", "singular_value", "singular_values", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } }, { "if": { "anyOf": [ { "not": { "required": [ "mode" ] } }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "solve", "system", "axb", "linear-system", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } } ] }, "then": { "properties": { "b": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "rhs": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } }, "anyOf": [ { "required": [ "b" ] }, { "required": [ "rhs" ] }, { "required": [ "b1", "b2" ] } ] } }, { "if": { "required": [ "mode" ], "properties": { "mode": { "enum": [ "multiply", "mul", "product" ] } } }, "then": { "properties": { "B": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "type": "array", "minItems": 4, "maxItems": 4, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "anyOf": [ { "required": [ "B" ] }, { "required": [ "b11", "b12", "b13", "b14", "b21", "b22", "b23", "b24" ] } ] } } ] } }, { "if": { "anyOf": [ { "required": [ "rows", "cols" ], "properties": { "rows": { "const": 3 }, "cols": { "const": 2 } } }, { "required": [ "m", "cols" ], "properties": { "m": { "const": 3 }, "cols": { "const": 2 } } }, { "required": [ "order" ], "properties": { "order": { "enum": [ "3x2", "3×2" ] } } } ] }, "then": { "properties": { "A": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "allOf": [ { "anyOf": [ { "required": [ "A" ] }, { "required": [ "a11", "a12", "a21", "a22", "a31", "a32" ] } ] }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "qr", "householder", "factor-qr", "svd", "singular", "singular_value", "singular_values", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } }, { "if": { "anyOf": [ { "not": { "required": [ "mode" ] } }, { "required": [ "mode" ], "properties": { "mode": { "enum": [ "solve", "system", "axb", "linear-system", "lstsq", "least_squares", "least-squares", "leastsquare", "ols" ] } } } ] }, "then": { "properties": { "b": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } }, "rhs": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } }, "anyOf": [ { "required": [ "b" ] }, { "required": [ "rhs" ] }, { "required": [ "b1", "b2", "b3" ] } ] } }, { "if": { "required": [ "mode" ], "properties": { "mode": { "enum": [ "multiply", "mul", "product" ] } } }, "then": { "properties": { "B": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "type": "array", "minItems": 2, "maxItems": 2, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. Nonzero text underflow is rejected; strings do not extend precision." } } } }, "anyOf": [ { "required": [ "B" ] }, { "required": [ "b11", "b12", "b21", "b22", "b31", "b32" ] } ] } } ] } }, { "if": { "anyOf": [ { "required": [ "rows", "cols" ], "properties": { "rows": { "const": 3 }, "cols": { "const": 3 } } }, { "required": [ "m", "cols" ], "properties": { "m": { "const": 3 }, "cols": { "const": 3 } } }, { "required": [ "order" ], "properties": { "order": { "enum": [ 3, "3", "3x3", "3×3" ] } } }, { "required": [ "n" ], "properties": { "n": { "const": 3 } } } ] }, "then": { "properties": { "A": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "type": "array", "minItems": 3, "maxItems": 3, "items": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?$" } ], "description": "Finite binary64 decimal. 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Discovery /nonlinear-equation. Not the nth-root page, not CAS, not a system. (calculation_version 1.1.6)", "page": "https://www.calculatorx.com/calc/math/numerical-root", "page_aliases": [ { "tool_id": "nonlinear-equation", "page": "https://www.calculatorx.com/calc/math/nonlinear-equation", "api": "https://www.calculatorx.com/api/v1/calc/nonlinear-equation" } ], "api": "https://www.calculatorx.com/api/v1/calc/numerical-root", "calculation_version": "1.1.6", "input_schema": { "$schema": "https://json-schema.org/draft/2020-12/schema", "$id": "https://www.calculatorx.com/schemas/math.numerical.root.input.json", "title": "Numerical root — input", "type": "object", "additionalProperties": false, "properties": { "method": { "type": "string", "enum": [ "newton", "newton_raphson", "newton-raphson", "bisection", "binary", "secant" ] }, "integrand": { "type": "string", "enum": [ "poly", "polynomial", "sin", "exp", "e^x" ] }, "coeffs": { "oneOf": [ { "type": "string" }, { "type": "array", "items": { "type": "number" }, "minItems": 2, "maxItems": 9 } ], "description": "c0,c1,…,cn constant first; not all zero" }, "coefficients": { "oneOf": [ { "type": "string" }, { "type": "array", "items": { "type": "number" }, "minItems": 2, "maxItems": 9 } ], "description": "Alias of coeffs; c0,c1,…,cn constant first; not all zero" }, "x0": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "x1": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "a": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "b": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "tol": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Positive finite parsed value; default 1e-10. Polynomial scaled residual, sine absolute residual, or bisection absolute bracket half-width; not a root-position guarantee." }, "max_iter": { "oneOf": [ { "type": "integer", "minimum": 1, "maximum": 100 }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Parsed value must be an integer from 1 to 100; default 50. Decimal text is validated after parsing." }, "mode": { "type": "string", "enum": [ "newton", "newton_raphson", "newton-raphson", "bisection", "binary", "secant" ], "description": "Legacy alias of method; supplied aliases must agree." }, "f": { "type": "string", "enum": [ "poly", "polynomial", "sin", "exp", "e^x" ], "description": "Legacy alias of integrand; supplied aliases must agree." }, "guess": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "lo": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." }, "hi": { "oneOf": [ { "type": "number" }, { "type": "string", "pattern": "^\\s*[+\\-−–—]?(?:[0-9]+(?:\\.[0-9]*)?|\\.[0-9]+)(?:[eE][+\\-]?[0-9]+)?\\s*$" } ], "description": "Finite binary64 decimal; nonzero-to-zero underflow is NUMERIC_UNDERFLOW. Other binary64 rounding is permitted." } }, "allOf": [ { "anyOf": [ { "properties": { "integrand": { "enum": [ "sin", "exp", "e^x" ] } }, "required": [ "integrand" ] }, { "properties": { "f": { "enum": [ "sin", "exp", "e^x" ] } }, "required": [ "f" ] }, { "required": [ "coeffs" ] }, { "required": [ "coefficients" ] } ] }, { "if": { "anyOf": [ { "properties": { "method": { "enum": [ "bisection", "binary" ] } }, "required": [ "method" ] }, { "properties": { "mode": { "enum": [ "bisection", "binary" ] } }, "required": [ "mode" ] } ] }, "then": { "allOf": [ { "anyOf": [ { "required": [ "a" ] }, { "required": [ "lo" ] } ] }, { "anyOf": [ { "required": [ "b" ] }, { "required": [ "hi" ] } ] } ] }, "else": { "anyOf": [ { "required": [ "x0" ] }, { "required": [ "guess" ] } ] } }, { "if": { "anyOf": [ { "properties": { "method": { "const": "secant" } }, "required": [ "method" ] }, { "properties": { "mode": { "const": "secant" } }, "required": [ "mode" ] } ] }, "then": { "required": [ "x1" ] } } ], "description": "Newton, bisection, or secant for an approximate real zero of a polynomial or sin. exp has no finite real zero and returns NO_CONVERGENCE. Discovery /nonlinear-equation. Not the nth-root page, not CAS, not a system. 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Not indefinite symbolic integrate. (calculation_version 1.1.5)", "page": "https://www.calculatorx.com/calc/math/definite-integral", "page_aliases": [ { "tool_id": "simpson-rule", "page": "https://www.calculatorx.com/calc/math/simpson-rule", "api": "https://www.calculatorx.com/api/v1/calc/simpson-rule" }, { "tool_id": "trapezoidal-rule", "page": "https://www.calculatorx.com/calc/math/trapezoidal-rule", "api": "https://www.calculatorx.com/api/v1/calc/trapezoidal-rule" }, { "tool_id": "gauss-quadrature", "page": "https://www.calculatorx.com/calc/math/gauss-quadrature", "api": "https://www.calculatorx.com/api/v1/calc/gauss-quadrature" } ], "api": "https://www.calculatorx.com/api/v1/calc/definite-integral", "calculation_version": "1.1.5", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.input.json", "output": "https://www.calculatorx.com/schemas/math.numerical.definite_integral.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.numerical.definite_integral/1.1.5/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.numerical.definite_integral/1.1.5/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.numerical.definite_integral/1.1.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.numerical.definite_integral/1.1.5", "capability_page": "https://www.calculatorx.com/capabilities/math.numerical.definite_integral", "verification": { "tests": { "passed": 13, "total": 13, "golden": 5, "boundary": 2, "property": 6 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 5, "passed": 5 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 6, "passed": 6 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not indefinite / symbolic CAS integrate", "Simpson/trapezoid n panels 2–10000; Simpson n forced even", "Gauss–Legendre n nodes 2–8", "Polynomial degree ≤ 8", "Decimal nonzero-to-zero inputs and unresolved nonzero outputs are rejected (NUMERIC_UNDERFLOW).", "n must be an integer; odd Simpson n rounds up to the next even panel count.", "Integrand sample overflow/underflow and severe quadrature cancellation are rejected; rescale or split the interval.", "exact is a binary64 analytic baseline; abs_err is the signed raw quadrature-minus-baseline difference, not a certified bound." ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.5", "artifacts": { "engine": "1.1.5", "page": "1.1.5", "capability": "1.1.5", "evidence": "1.1.5", "input_schema": "1.1.5", "output_schema": "1.1.5", "mcp_contract": "1.1.5" }, "digests": { "input_schema_sha256": "980ad6cc59e311f5f5a7bfc8a62a3507b8459ea47c77fb49e52b775d035bd7b1", "output_schema_sha256": "249d911579c3c854401380ab0b3ca96eaa1ea6f7a4ffb37c946ff076cb312a90", "evidence_sha256": "22f7f92174ebc76dbd33bcddb7a4acfbc6190a6f9d9be64d86bcc38b96bd7731", "evidence_core_sha256": "22f7f92174ebc76dbd33bcddb7a4acfbc6190a6f9d9be64d86bcc38b96bd7731", "capability_sha256": "e943d0e284573ea9be5196ec20fd5b88236e6f939a052a9d0227a6a928fdf1e2", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.5" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.numerical.interpolate", "tool_id": "numerical-interpolation", "engine": "numerical-interpolation", "title": "Numerical interpolation", "summary": "Piecewise-linear, Lagrange, or natural cubic spline of tabulated (x, y). Not regression, not CAS. (calculation_version 1.1.6)", "page": "https://www.calculatorx.com/calc/math/numerical-interpolation", "page_aliases": [ { "tool_id": "spline-interpolation", "page": "https://www.calculatorx.com/calc/math/spline-interpolation", "api": "https://www.calculatorx.com/api/v1/calc/spline-interpolation" } ], "api": "https://www.calculatorx.com/api/v1/calc/numerical-interpolation", "calculation_version": "1.1.6", "tier": "engine_tested", "trust": { "engine_tested": true, "expert_reviewed": false, "internally_reviewed": false, "review_kind": null, "source_checked": true, "reviewed_by": null, "reviewer_role": null, "last_reviewed": null, "version_lock_supported": true, "expert_review_status": "optional_not_performed", "internal_review_status": "not_applicable" }, "schemas": { "input": "https://www.calculatorx.com/schemas/math.numerical.interpolate.input.json", "output": "https://www.calculatorx.com/schemas/math.numerical.interpolate.output.json", "input_versioned": "https://www.calculatorx.com/schemas/math.numerical.interpolate/1.1.6/input.json", "output_versioned": "https://www.calculatorx.com/schemas/math.numerical.interpolate/1.1.6/output.json" }, "evidence": "https://www.calculatorx.com/evidence/math.numerical.interpolate/1.1.6.json", "evidence_page": "https://www.calculatorx.com/evidence/math.numerical.interpolate/1.1.6", "capability_page": "https://www.calculatorx.com/capabilities/math.numerical.interpolate", "verification": { "tests": { "passed": 13, "total": 13, "golden": 4, "boundary": 2, "property": 7 }, "contract_checks": { "passed": 6, "total": 6 } }, "evidence_tests": { "total": 13, "passed": 13, "failed": 0, "golden": { "total": 4, "passed": 4 }, "boundary": { "total": 2, "passed": 2 }, "property": { "total": 7, "passed": 7 }, "contract": { "total": 6, "passed": 6, "failed": 0 } }, "limitations": [ "Not Akima, PCHIP, clamped spline, or statistical regression", "Linear/spline x outside the table without extrapolate → VALUE_OUT_OF_RANGE", "Lagrange limited to 9 points (degree ≤ 8); linear/spline table ≤ 100", "Not a second interpolator and not CAS", "Exact rational binary64-input primary evaluation; intermediate numerator/denominator at most16384 bits. Publication12 significant digits. Unrepresentable output, nonzero output underflow or unsupported spline coordinate normalization returns NUMERICAL_RANGE_ERROR.", "Finite decimals only; full matching aliases and exactly two cells per node. Curve samples use illustrative binary64 arithmetic, not a certified error bound." ], "methods": [], "operations": [], "release_integrity": { "status": "verified", "scope": "workspace", "production_attestation_required": true, "calculation_version": "1.1.6", "artifacts": { "engine": "1.1.6", "page": "1.1.6", "capability": "1.1.6", "evidence": "1.1.6", "input_schema": "1.1.6", "output_schema": "1.1.6", "mcp_contract": "1.1.6" }, "digests": { "input_schema_sha256": "5af9e31e556474d7abdc0b8b4a33e96f883a527e494f061bef20a95ad29d8d10", "output_schema_sha256": "b73c26e4f5963840c07a005421be1e4d4f142f5348bce2637385493bf232aed6", "evidence_sha256": "62409b3b3d33b9092832a4e24144b2ed478b8a8f87682e7277f9918226fc6769", "evidence_core_sha256": "62409b3b3d33b9092832a4e24144b2ed478b8a8f87682e7277f9918226fc6769", "capability_sha256": "3950c40623d38644ed6289837edb9a098285e2c7d278f9ee5ac44f14c2a77a33", "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d", "mcp_contract_sha256": "eb3e39ad4a95ed263415b4932f185d5edfe00a2403267b7c5ed5f718d1ff6da3" }, "contract_checks": { "total": 6, "passed": 6, "failed": 0, "items": [ { "id": "release-artifacts-aligned", "status": "pass", "detail": "1.1.6" }, { "id": "schema-output-required-declared", "status": "pass" }, { "id": "schema-valid-input-executes", "status": "pass" }, { "id": "engine-success-output-validates-schema", "status": "pass" }, { "id": "schema-rejects-incomplete-input", "status": "pass" }, { "id": "rest-success-payload-validates-schema", "status": "pass" } ] }, "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json" } }, { "capability_id": "math.numerical.derivative", "tool_id": "numerical-derivative", "engine": "numerical-derivative", "title": "Numerical derivative", "summary": "Forward, backward, or central finite difference of a polynomial, sin, or exp, plus a numeric two-sided limit. Discovery /two-sided-limit. Not symbolic d/dx. 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