# Operations reports and developer utilities

Choose a defined job, review its input example and price, then select a payment option. Private result access lasts30days; save your downloaded copy. Each is a one-time job, without a recurring commitment. Use authorized, non-sensitive input. The work is limited to the supplied records or mathematical profile, without external actions, professional certification or an outcome guarantee. Input and computation profiles describe the work included, not payment admission limits. A quote is unpaid; a signature alone does not establish settlement.

## Laundry Drum Load Fill

USD 9.00 per job.

Compare recorded dry load mass with a declared washer capacity and a supplied minimum fill fraction. This does not set a wash program or certify fabric treatment. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "dryKg": 12,
      "ratedKg": 20,
      "minFill": 0.7
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/fillRatio": 0.6,
  "/records/0/underfilled": true,
  "/records/0/overloaded": false
}
```

## Laundry Chemical Dose Reconciliation

USD 9.00 per job.

Reconcile logged dispenser volume with a user-supplied dose per dry kilogram and absolute tolerance. No chemical compatibility, concentration or dose recommendation is supplied. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "dryKg": 20,
      "mlPerKg": 8,
      "dispensedMl": 175,
      "toleranceMl": 10
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/expectedMl": 160,
  "/records/0/varianceMl": 15,
  "/records/0/outsideTolerance": true
}
```

## Laundry Moisture Removal Mass

USD 9.00 per job.

Use matched dry, post-extraction and post-drying masses to expose retained moisture and evaporated mass against a supplied target. Mixed lots, fabric damage and dryer control are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "dryKg": 10,
      "afterExtractKg": 16,
      "afterDryKg": 11,
      "targetResidualRatio": 0.05
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/extractedResidualRatio": 0.6,
  "/records/0/finalResidualRatio": 0.1,
  "/records/0/evaporatedKg": 5,
  "/records/0/aboveTarget": true
}
```

## Laundry First Pass Rewash Profile

USD 9.00 per job.

Separate first rewash and repeat-rewash workload within one documented piece cohort. Each repeat count denotes one additional pass, not a distinct original piece. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "processedPieces": 100,
      "firstRewashPieces": 12,
      "repeatRewashPieces": 3
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/firstPassPieces": 88,
  "/records/0/extraWashPasses": 15,
  "/records/0/firstPassRatio": 0.88
}
```

## Laundry Flatwork Feed Balance

USD 9.00 per job.

Compare supplied flatwork piece mix and measured feed times with available lane-seconds. This is a workload scenario, not a machine scheduling or staffing instruction. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "sheets": 100,
      "pillowcases": 80,
      "sheetFeedSeconds": 6,
      "caseFeedSeconds": 3,
      "availableLaneSeconds": 400,
      "lanes": 2
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/requiredLaneSeconds": 840,
  "/records/0/capacityLaneSeconds": 800,
  "/records/0/shortfallLaneSeconds": 40
}
```

## Laundry Customer Weight Billing Check

USD 9.00 per job.

Compare recorded billed weight with gross less tare, rounded upward to an explicitly supplied billing increment. Tax, legal metrology and customer contract interpretation are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "grossKg": 21.4,
      "tareKg": 1.2,
      "billedKg": 21,
      "incrementKg": 0.5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/netKg": 20.2,
  "/records/0/roundedBillableKg": 20.5,
  "/records/0/varianceKg": 0.5
}
```

## Laundry Rinse Reuse Water Bridge

USD 9.00 per job.

Reconcile fresh and recovered process-water volumes with logged use and losses for one laundry boundary. Water quality, hygiene and reuse suitability are not inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "freshLitres": 700,
      "recoveredLitres": 300,
      "processLitres": 950,
      "lossLitres": 40
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/suppliedLitres": 1000,
  "/records/0/unreconciledLitres": 10,
  "/records/0/reuseFraction": 0.3
}
```

## Laundry Linen Ragout Cycle

USD 9.00 per job.

Reconcile new receipts, customer issue/return and recorded ragout within a linen pool. Ragout is counted from returned pieces only; ownership, physical stock and replacement purchases are not inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "openingPieces": 200,
      "receivedNewPieces": 20,
      "issuedPieces": 100,
      "returnedPieces": 95,
      "ragoutPieces": 5,
      "closingPieces": 209
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/expectedClosingPieces": 210,
  "/records/0/variancePieces": -1,
  "/records/0/ragoutFraction": 0.0526315789474
}
```

## Laundry Batch Hold Time Review

USD 9.00 per job.

Separate wet-work and dispatch holds from recorded batch events, comparing only with customer-supplied operational targets. This is not a microbiological or hygiene assessment. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "washEndMinute": 100,
      "dryStartMinute": 145,
      "foldEndMinute": 200,
      "dispatchMinute": 260,
      "maxWetHoldMinutes": 30,
      "maxDispatchHoldMinutes": 90
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/wetHoldMinutes": 45,
  "/records/0/dispatchHoldMinutes": 60,
  "/records/0/wetHoldOverTarget": true,
  "/records/0/dispatchOverTarget": false
}
```

## Laundry Steam Condensate Recovery

USD 9.00 per job.

Reconcile measured steam, condensate return, blowdown and makeup water masses over one common boundary and period. Boiler safety, water chemistry and enthalpy are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/cmei/femp/best-management-practice-13-other-water-intensive-processes). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "steamKg": 1000,
      "returnedCondensateKg": 700,
      "blowdownKg": 20,
      "makeupKg": 330
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/returnFraction": 0.7,
  "/records/0/requiredMakeupKg": 320,
  "/records/0/makeupVarianceKg": 10
}
```

## Print Sheet Gripper Imposition

USD 9.00 per job.

Estimate a uniform rectangular print imposition after explicit gripper, side margins and bleed. Grain, gutter, work-and-turn, creep and mixed layouts are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "sheetWidthMm": 450,
      "sheetHeightMm": 640,
      "gripperMm": 10,
      "sideMarginMm": 5,
      "trimWidthMm": 100,
      "trimHeightMm": 150,
      "bleedMm": 3
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/uprightUp": 16,
  "/records/0/rotatedUp": 10,
  "/records/0/bestUp": 16
}
```

## Print Paper Grammage Mass

USD 9.00 per job.

Reconcile paper mass from sheet dimensions in millimetres, count and grams per square metre with a measured mass. Packaging, coating additions and moisture corrections are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "widthMm": 450,
      "heightMm": 640,
      "sheets": 1000,
      "grammage": 90,
      "measuredKg": 26,
      "toleranceKg": 0.1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/expectedKg": 25.92,
  "/records/0/varianceKg": 0.08,
  "/records/0/outsideTolerance": false
}
```

## Print Makeready Sheet Budget

USD 9.00 per job.

Separate declared makeready sheets from production sheets needed for an order and supplied overrun fraction. Rounding is upward; spoilage after makeready is represented only by that declared fraction. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "orderedUnits": 10000,
      "unitsPerSheet": 2,
      "overrunFraction": 0.02,
      "makereadySheets": 200,
      "issuedSheets": 5400
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/runSheets": 5100,
  "/records/0/requiredSheets": 5300,
  "/records/0/issuedVariance": 100
}
```

## Print Coverage Ink Reconciliation

USD 9.00 per job.

Compare logged ink use with covered area and a supplied ink-use factor for one separation. Color strength, trapping, formulation and machine adjustments are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "sheetAreaM2": 0.5,
      "impressions": 1000,
      "coverageFraction": 0.5,
      "kgPerThousandM2": 2,
      "dispensedKg": 0.55,
      "toleranceKg": 0.1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/coveredAreaM2": 250,
  "/records/0/expectedKg": 0.5,
  "/records/0/varianceKg": 0.05,
  "/records/0/outsideTolerance": false
}
```

## Book Block Spine Caliper Check

USD 9.00 per job.

Compare a specified spine width with an even-page book block using supplied leaf caliper and adhesive allowance. Compression, binding method, cover wrap and manufacturability are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "pages": 200,
      "leafCaliperMm": 0.1,
      "adhesiveMm": 0.5,
      "specifiedSpineMm": 10.3,
      "toleranceMm": 0.1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/leaves": 100,
  "/records/0/estimatedSpineMm": 10.5,
  "/records/0/specificationVarianceMm": -0.2,
  "/records/0/outsideTolerance": true
}
```

## Print Signature Collation Count

USD 9.00 per job.

Plan a uniform book-block signature count, including blank page positions, for a supplied page count and signature multiple of four. Page ordering, mixed signatures and binding instructions are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "contentPages": 130,
      "pagesPerSignature": 16,
      "orderedBooks": 100
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/signaturesPerBook": 9,
  "/records/0/imposedPages": 144,
  "/records/0/blankPagesPerBook": 14,
  "/records/0/totalSignatureSections": 900
}
```

## Print Web Repeat Label Yield

USD 9.00 per job.

Reconcile complete web repeats and lanes after declared startup and splice losses. Repeat includes the gap; partial repeats, stretch, defects and live press control are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "rollMetres": 100,
      "startupMetres": 2,
      "spliceLossMetres": 3,
      "repeatMm": 50,
      "across": 2,
      "recordedLabels": 3750
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/usableMetres": 95,
  "/records/0/completeRepeats": 1900,
  "/records/0/estimatedLabels": 3800,
  "/records/0/labelVariance": -50
}
```

## Duplex Registration Vector Review

USD 9.00 per job.

Compare already transformed front/back registration measurements in one common coordinate system and unit with a supplied radial tolerance. Back-side mirroring and physical press alignment are not performed. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "frontX": 1,
      "frontY": 2,
      "backX": 2,
      "backY": 2,
      "tolerance": 0.8
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/deltaX": 1,
  "/records/0/deltaY": 0,
  "/records/0/radialOffset": 1,
  "/records/0/outsideTolerance": true
}
```

## Spot Separation Name Crosscheck

USD 9.00 per job.

Compare explicit artwork and plate spot-separation names by exact spelling. Supply spot names only; process colors, aliases, colorimetry and actual file contents are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "artworkNames": [
        "Gold",
        "Varnish"
      ],
      "plateNames": [
        "Gold",
        "Silver"
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/missingOnPlates": [
    "Varnish"
  ],
  "/records/0/unexpectedOnPlates": [
    "Silver"
  ]
}
```

## Mailpiece Component Mass Check

USD 9.00 per job.

Estimate assembled mailpiece mass from body leaves, cover, inserts and envelope, then compare a measured sample. Postal classes, price quotes, thickness and mailing eligibility are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "bodyPages": 20,
      "bodyAreaM2": 0.06,
      "bodyGrammage": 80,
      "coverAreaM2": 0.12,
      "coverGrammage": 200,
      "insertGrams": 5,
      "envelopeGrams": 10,
      "sampleGrams": 90,
      "toleranceGrams": 2
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/estimatedGrams": 87,
  "/records/0/sampleVarianceGrams": 3,
  "/records/0/outsideTolerance": true
}
```

## Recovered Material Dry Payable

USD 9.00 per job.

Reconcile a supplied per-metric-tonne price after moisture on gross mass and contamination on remaining dry mass. Due minor units use exact rational half-up rounding; no market price, tax or settlement is supplied. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "grossGrams": 1000000,
      "moistureBasisPoints": 1000,
      "dryContaminationBasisPoints": 2000,
      "ratePerTonneMinor": 20000,
      "currency": "USD",
      "recordedDueMinor": 14500
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/payableGrams": 720000,
  "/records/0/calculatedDueMinor": 14400,
  "/records/0/dueVarianceMinor": 100
}
```

## Bale Compaction Volume Review

USD 9.00 per job.

Compare a supplied loose bulk density and uniform rectangular bale dimensions with mass and bale count. Average mass is not proof that every bale meets a handling limit; strength and storage safety are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "massKg": 1000,
      "looseBulkKgPerM3": 100,
      "bales": 2,
      "lengthM": 1,
      "widthM": 1,
      "heightM": 1,
      "maxBaleKg": 400
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/looseVolumeM3": 10,
  "/records/0/baledVolumeM3": 2,
  "/records/0/compressionRatio": 5,
  "/records/0/meanBaleKg": 500,
  "/records/0/aboveSuppliedMass": true
}
```

## Density Separation Fraction Review

USD 9.00 per job.

Classify supplied density uncertainty intervals as certainly below, certainly above, or overlapping a carrier interval. This ideal density comparison excludes shape, entrained air, wetting, carrier selection and actual separation guarantees. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "carrierDensity": 1000,
      "carrierUncertainty": 10,
      "materials": [
        {
          "id": "A",
          "massKg": 20,
          "density": 800,
          "uncertainty": 10
        },
        {
          "id": "B",
          "massKg": 30,
          "density": 1100,
          "uncertainty": 10
        }
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/floatIds": [
    "A"
  ],
  "/records/0/sinkIds": [
    "B"
  ],
  "/records/0/uncertainIds": [],
  "/records/0/floatKg": 20,
  "/records/0/sinkKg": 30,
  "/records/0/uncertainKg": 0
}
```

## Screen Cut Measurement Resolution

USD 9.00 per job.

Expose what nonoverlapping half-open sieve intervals can establish at a requested cut size. Straddling fractions remain ambiguous; uniform size distribution and screen efficiency are not assumed. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "cutMm": 5,
      "fractions": [
        {
          "id": "A",
          "lowerMm": 0,
          "upperMm": 4,
          "massKg": 20
        },
        {
          "id": "B",
          "lowerMm": 4,
          "upperMm": 6,
          "massKg": 30
        },
        {
          "id": "C",
          "lowerMm": 6,
          "upperMm": 10,
          "massKg": 50
        }
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/certainUndersizeKg": 20,
  "/records/0/certainOversizeKg": 50,
  "/records/0/ambiguousKg": 30
}
```

## Bond Comminution Energy Review

USD 9.00 per job.

Compare observed power with the Bond reference equation using supplied calibrated work index and correction factor. Work index and throughput must share the declared ton basis; laboratory calibration and equipment design are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://metcomtech.com/grindng-bulletin-5/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "feedP80Micrometres": 400,
      "productP80Micrometres": 100,
      "workIndex": 10,
      "massPerHour": 20,
      "massBasis": "metric-tonne",
      "correctionFactor": 1,
      "observedKw": 110,
      "toleranceKw": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/specificKwhPerMassUnit": 5,
  "/records/0/estimatedKw": 100,
  "/records/0/observedVarianceKw": 10,
  "/records/0/outsideTolerance": true,
  "/records/0/massBasis": "metric-tonne"
}
```

## Screw Conveyor Volume Scenario

USD 9.00 per job.

Evaluate ideal swept screw volume and supplied fill/inclination factors, converting volume with one supplied bulk density. Slip, torque, wear, material behavior and equipment approval are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "outerDiameterM": 1,
      "shaftDiameterM": 0,
      "pitchM": 1,
      "rpm": 1,
      "fillFraction": 0.5,
      "inclinationFactor": 1,
      "bulkKgPerM3": 1000
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/geometricM3PerHour": 47.12388980384689,
  "/records/0/adjustedM3PerHour": 23.561944901923447,
  "/records/0/estimatedTonnesPerHour": 23.561944901923447
}
```

## Material Drying Dry Matter Bridge

USD 9.00 per job.

Conserve dry matter between wet-basis moisture fractions and compare a supplied energy-per-water factor with observed energy. Chemical change, dryer efficiency selection and operating settings are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "wetInputKg": 100,
      "initialMoistureFraction": 0.5,
      "targetMoistureFraction": 0,
      "energyMjPerKgWater": 3,
      "observedMj": 160,
      "toleranceMj": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/dryMatterKg": 50,
  "/records/0/productKg": 50,
  "/records/0/evaporatedKg": 50,
  "/records/0/estimatedMj": 150,
  "/records/0/energyVarianceMj": 10,
  "/records/0/outsideTolerance": true
}
```

## Two Product Assay Recovery

USD 9.00 per job.

Solve an ideal two-product mass/assay balance from one feed and two product grades on the same basis. A zero target amount has null recovery; assay quality, mineral valuation and processing guarantees are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "feedMassKg": 100,
      "feedGrade": 0.2,
      "concentrateGrade": 0.5,
      "tailGrade": 0.1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/concentrateMassKg": 25,
  "/records/0/tailMassKg": 75,
  "/records/0/massPullFraction": 0.25,
  "/records/0/targetRecoveryFraction": 0.625
}
```

## Material Sorting Recirculation

USD 9.00 per job.

Replay target and other-material capture through a fixed number of passes with explicit reject recirculation. Last-pass recirculated material remains residual; constant capture assumptions are not measured process performance. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "initialTargetKg": 100,
      "initialOtherKg": 100,
      "targetCaptureFraction": 0.8,
      "otherCaptureFraction": 0.1,
      "rejectRecirculationFraction": 1,
      "passes": 2,
      "minimumPurityFraction": 0.9
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/recoveredTargetKg": 96,
  "/records/0/recoveredOtherKg": 19,
  "/records/0/residualKg": 85,
  "/records/0/permanentRejectKg": 0,
  "/records/0/belowSuppliedPurity": true
}
```

## Waste Fuel Blend Energy

USD 9.00 per job.

Build a supplied-component reference energy balance with wet-basis moisture, dry-basis ash and dry-ash-free heating values. Sensible heat, combustion efficiency, emissions, fuel acceptability and operating instructions are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.energy.gov/ehss/articles/doe-hdbk-10121-92). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "latentMjPerKgWater": 2,
      "minimumMjPerKg": 8,
      "components": [
        {
          "id": "A",
          "massKg": 100,
          "moistureFraction": 0.2,
          "ashFractionOfDry": 0.1,
          "dryAshFreeMjPerKg": 10
        }
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/totalKg": 100,
  "/records/0/waterKg": 20,
  "/records/0/ashKg": 8,
  "/records/0/netReferenceMj": 680,
  "/records/0/mjPerKg": 6.8,
  "/records/0/belowSuppliedEnergy": true
}
```

## Loom Pick Rate Reconciliation

USD 9.00 per job.

Reconcile woven output from declared pick density, rate, availability and run duration. Reed settings, machine control and quality acceptance are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "picksPerMinute": 600,
      "picksPerCentimetre": 30,
      "runMinutes": 60,
      "availability": 0.8,
      "observedMetres": 10,
      "toleranceMetres": 0.2
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/expectedMetres": 9.6,
  "/records/0/varianceMetres": 0.4,
  "/records/0/outsideTolerance": true
}
```

## Warp Beam Length Accounting

USD 9.00 per job.

Account for usable warp length using tex (grams per kilometre), end count and declared length waste. Yarn stretch and crimp must be addressed in supplied quantities. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "usableYarnKg": 100,
      "yarnTex": 20,
      "ends": 1000,
      "warpWasteMetres": 10,
      "observedMetres": 4980,
      "toleranceMetres": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/grossMetres": 5000,
  "/records/0/netMetres": 4990,
  "/records/0/varianceMetres": -10,
  "/records/0/outsideTolerance": true
}
```

## Fabric Relaxation Two Axis Review

USD 9.00 per job.

Report signed two-axis and area dimensional changes from comparable specimen measurements. Expansion is negative shrinkage; laundering method and a textile standard are not inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "beforeLength": 100,
      "beforeWidth": 100,
      "afterLength": 95,
      "afterWidth": 90,
      "maximumShrinkage": 0.08
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/lengthShrinkage": 0.05,
  "/records/0/widthShrinkage": 0.1,
  "/records/0/areaShrinkage": 0.145,
  "/records/0/exceedsSuppliedShrinkage": true
}
```

## Sewing Line Standard Minute Balance

USD 9.00 per job.

Reconcile accepted sewing output against caller-approved standard minutes and operator time. Efficiency may exceed one; this is not worker evaluation or time-study certification. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "acceptedUnits": 100,
      "standardMinutesPerUnit": 5,
      "operators": 2,
      "paidMinutesEach": 300,
      "reportedEfficiency": 0.8,
      "tolerance": 0.01
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/earnedMinutes": 500,
  "/records/0/availableMinutes": 600,
  "/records/0/calculatedEfficiency": 0.8333333333333334,
  "/records/0/variance": 0.03333333333333333,
  "/records/0/outsideTolerance": true
}
```

## Garment Marker Material Utilization

USD 9.00 per job.

Reconcile area utilization for a uniform multi-ply marker and recorded rejects. Does not nest patterns, infer orientation or include unused roll width. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "markerLengthM": 10,
      "usableWidthM": 1.5,
      "plies": 10,
      "patternAreaPerPlyM2": 12,
      "rejectAreaM2": 5,
      "minimumUtilization": 0.8
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/purchasedAreaM2": 150,
  "/records/0/patternAreaM2": 120,
  "/records/0/acceptedAreaM2": 115,
  "/records/0/utilization": 0.7666666666666667,
  "/records/0/belowSuppliedMinimum": true
}
```

## Knit Loop Yarn Mass Check

USD 9.00 per job.

Estimate yarn mass for a rectangular knitted loop count from measured average loop length and tex. Selvedges, trims and variable loop structures are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "courses": 100,
      "wales": 100,
      "loopLengthMm": 3,
      "yarnTex": 20,
      "observedGrams": 0.7,
      "toleranceGrams": 0.05
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/loops": 10000,
  "/records/0/yarnMetres": 30,
  "/records/0/expectedGrams": 0.6,
  "/records/0/varianceGrams": 0.1,
  "/records/0/outsideTolerance": true
}
```

## Fabric Roll Linear Mass Check

USD 9.00 per job.

Check net roll mass, usable area and declared grams per square metre. Packaging tare, conditioning and test-method conformance are caller responsibilities. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "netKg": 30,
      "lengthM": 100,
      "widthM": 1.5,
      "declaredGsm": 190,
      "toleranceGsm": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/measuredGsm": 200,
  "/records/0/expectedKg": 28.5,
  "/records/0/massVarianceKg": 1.5,
  "/records/0/outsideTolerance": true
}
```

## Yarn Moisture Regain Accounting

USD 9.00 per job.

Reconcile moisture regain on a dry-mass basis with a supplied commercial regain factor. Does not assert a statutory allowance or perform a conditioning test. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "conditionedKg": 110,
      "ovenDryKg": 100,
      "invoiceRegain": 0.08,
      "invoicedKg": 110,
      "toleranceKg": 0.5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/measuredRegain": 0.1,
  "/records/0/invoiceEquivalentKg": 108,
  "/records/0/varianceKg": 2,
  "/records/0/outsideTolerance": true
}
```

## Fabric Four Point Density Review

USD 9.00 per job.

Normalize already assigned inspection points per 100 square metres and compare with an explicit buyer threshold. This does not assign defects or claim four-point inspection certification. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "points": 12,
      "inspectedLengthM": 10,
      "inspectedWidthM": 1.5,
      "maximumPointsPer100M2": 50
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/inspectedAreaM2": 15,
  "/records/0/pointsPer100M2": 80,
  "/records/0/aboveSuppliedMaximum": true
}
```

## Thread Seam Consumption Reconciliation

USD 9.00 per job.

Reconcile thread issuance with a supplied seam consumption factor and waste fraction of gross issuance. Stitch geometry and machine setup are not inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "seamLengthM": 2,
      "threadToSeamFactor": 3,
      "units": 100,
      "wasteFraction": 0.2,
      "issuedMetres": 760,
      "toleranceMetres": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/netThreadMetres": 600,
  "/records/0/grossThreadMetres": 750,
  "/records/0/varianceMetres": 10,
  "/records/0/outsideTolerance": true
}
```

## Log End Area Volume Reconciliation

USD 9.00 per job.

Compare declared log volume with the average-end-area formula and a midpoint-diameter cylinder scenario. Diameters must share bark convention; no log grade or sale rule is inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "smallDiameterM": 1,
      "largeDiameterM": 1,
      "lengthM": 4,
      "recordedM3": 3.2,
      "toleranceM3": 0.01
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/smalianM3": 3.141592653589793,
  "/records/0/midDiameterCylinderM3": 3.141592653589793,
  "/records/0/recordVarianceM3": 0.05840734641020706,
  "/records/0/outsideTolerance": true
}
```

## Sawmill Recovery Volume Bridge

USD 9.00 per job.

Reconcile solid-equivalent sawmill stream volumes on one caller-defined moisture and bark basis. Loose chip volume must be converted before input; no conversion factors are invented. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "inputM3": 10,
      "boardsM3": 5,
      "chipsM3": 2,
      "sawdustM3": 1,
      "barkM3": 1,
      "toleranceM3": 0.5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/accountedM3": 9,
  "/records/0/unexplainedM3": 1,
  "/records/0/boardRecovery": 0.5,
  "/records/0/outsideTolerance": true
}
```

## Lumber Dry Basis Moisture Check

USD 9.00 per job.

Keep dry-basis lumber moisture distinct from wet-basis water fraction using supplied paired masses. No kiln schedule, species allowance or moisture-meter calibration is supplied. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "wetKg": 120,
      "ovenDryKg": 100,
      "declaredMoistureRatio": 0.15,
      "toleranceRatio": 0.02
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/dryBasisMoisture": 0.2,
  "/records/0/wetBasisMoisture": 0.16666666666666666,
  "/records/0/waterKg": 20,
  "/records/0/outsideTolerance": true
}
```

## Planer Blank Dimension Yield

USD 9.00 per job.

Calculate geometric planing and trimming yield for one rectangular blank and finished piece. Knots, grain, movement and structural acceptance are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "roughWidthMm": 100,
      "roughThicknessMm": 50,
      "finishedWidthMm": 90,
      "finishedThicknessMm": 40,
      "roughLengthM": 2,
      "finishedLengthM": 2,
      "minimumYield": 0.8
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/roughM3": 0.01,
  "/records/0/finishedM3": 0.0072,
  "/records/0/volumeYield": 0.72,
  "/records/0/belowSuppliedMinimum": true
}
```

## Saw Rip Kerf Strip Layout

USD 9.00 per job.

Fit equal rip strips across usable width with kerf between strips and explicit edge trim. This is a one-dimensional layout scenario, not saw operating guidance. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "boardWidthMm": 100,
      "edgeTrimEachMm": 2,
      "stripWidthMm": 20,
      "kerfMm": 3,
      "requestedStrips": 5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/stripsFit": 4,
  "/records/0/usedWidthMm": 89,
  "/records/0/remainderMm": 7,
  "/records/0/requestExceedsFit": true
}
```

## Veneer Log Peelable Annulus

USD 9.00 per job.

Bridge a cylindrical peelable annulus to theoretical veneer area and supplied process yield. Taper, rounding loss and defects require caller adjustments; no lathe settings are supplied. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "outerDiameterM": 1,
      "coreDiameterM": 0.2,
      "lengthM": 2,
      "veneerThicknessMm": 2,
      "processYield": 0.8,
      "observedSheetM2": 600,
      "toleranceM2": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/annulusM3": 1.5079644737231006,
  "/records/0/idealSheetM2": 753.9822368615503,
  "/records/0/expectedSheetM2": 603.1857894892403,
  "/records/0/varianceM2": -3.1857894892402783,
  "/records/0/outsideTolerance": true
}
```

## Kiln Sticker Stack Air Gap

USD 9.00 per job.

Reconcile geometric wood and void volume in a stacked load, with stickers only between layers. Does not predict airflow, drying time or a safe kiln schedule. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "layers": 10,
      "boardThicknessMm": 25,
      "stickerThicknessMm": 25,
      "stackFootprintM2": 4,
      "boardAreaFraction": 1,
      "reportedWoodM3": 1.1,
      "toleranceM3": 0.05
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/woodM3": 1,
  "/records/0/gapM3": 0.9,
  "/records/0/stackHeightM": 0.475,
  "/records/0/airGapFraction": 0.4736842105263158,
  "/records/0/outsideTolerance": true
}
```

## Panel Adhesive Spread Accounting

USD 9.00 per job.

Reconcile adhesive mass using a supplied single-glue-line wet spread and transfer efficiency. Does not select chemistry, curing conditions or structural bond requirements. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "panelAreaM2": 100,
      "glueLines": 2,
      "spreadGramsPerM2": 200,
      "transferEfficiency": 0.8,
      "issuedKg": 52,
      "toleranceKg": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/netAdhesiveKg": 40,
  "/records/0/requiredIssuedKg": 50,
  "/records/0/varianceKg": 2,
  "/records/0/outsideTolerance": true
}
```

## Timber Volume Order Bridge

USD 9.00 per job.

Reconcile equal-dimension timber piece counts with an ordered solid volume on actual supplied dimensions. Nominal sizes, board-foot trade rules and species properties are not inferred. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "pieceCount": 100,
      "widthMm": 100,
      "thicknessMm": 50,
      "lengthM": 2,
      "orderedM3": 1.1,
      "toleranceM3": 0.01
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/pieceM3": 0.01,
  "/records/0/totalM3": 1,
  "/records/0/orderShortfallM3": 0.1,
  "/records/0/outsideTolerance": true
}
```

## Wood Drying Water Removal Bridge

USD 9.00 per job.

Account for ideal water removal using dry-basis moisture and conserved dry solids. Extractive loss, energy, emissions and actual drying controls are excluded. Integral report quantities must remain exactly representable; unsupported calculation profiles reject before checkout. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.nist.gov/pml/special-publication-811). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "initialKg": 150,
      "initialDryBasisMoisture": 0.5,
      "targetDryBasisMoisture": 0.1,
      "measuredFinalKg": 112,
      "toleranceKg": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/drySolidsKg": 100,
  "/records/0/targetFinalKg": 110,
  "/records/0/waterToRemoveKg": 40,
  "/records/0/varianceKg": 2,
  "/records/0/outsideTolerance": true
}
```

## Signed sRGB Transfer Curve

USD 1.00 per job.

Encode or decode three signed extended-sRGB components using the stated piecewise transfer curve. Values are not clipped, gamut mapped or interpreted as a complete CSS color. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "values": [
        0,
        0.04045,
        1
      ],
      "direction": "decode"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/values": [
    0,
    0.0031308049535603713,
    1
  ]
}
```

## Linear RGB Basis Conversion

USD 1.00 per job.

Convert linear-light RGB components among sRGB, Display P3 and Rec.2020 D65 bases. Transfer decoding/encoding and gamut mapping are separate; no automatic clipping is performed. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "values": [
        1,
        0,
        0
      ],
      "source": "srgb",
      "target": "srgb"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/values": [
    1,
    0,
    0
  ],
  "/records/0/insideUnitCube": true
}
```

## CIE Lab Reference White Codec

USD 1.00 per job.

Convert supplied XYZ and CIE Lab values against one explicit positive reference white using the CIE piecewise equations. White-point adaptation and color-profile inference are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "values": [
        0.95047,
        1,
        1.08883
      ],
      "referenceWhite": [
        0.95047,
        1,
        1.08883
      ],
      "direction": "xyz-to-lab"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/values": [
    100,
    0,
    0
  ]
}
```

## Oklab Linear sRGB Codec

USD 1.00 per job.

Convert linear sRGB and Oklab using the published coefficient matrices and signed cube roots. The supplied coefficient precision is retained; clipping and a complete CSS parser are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "values": [
        0,
        0,
        0
      ],
      "direction": "rgb-to-oklab"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/values": [
    0,
    0,
    0
  ]
}
```

## Bradford White Point Adaptation

USD 1.00 per job.

Adapt XYZ values between explicitly supplied white points with the Bradford cone-response model. No profile metadata, viewing-condition model or rendering intent is inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "xyz": [
        0.1,
        0.2,
        0.3
      ],
      "sourceWhite": [
        1,
        1,
        1
      ],
      "targetWhite": [
        2,
        2,
        2
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/xyz": [
    0.2,
    0.4,
    0.6
  ]
}
```

## Linear Color Source Over

USD 1.00 per job.

Compute source-over compositing for two straight, linear-light three-component colors. Fully transparent output uses zero components; gamma decoding and alternative blend modes are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "foreground": [
        1,
        0,
        0
      ],
      "background": [
        0,
        0,
        1
      ],
      "foregroundAlpha": 0.5,
      "backgroundAlpha": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/color": [
    0.5,
    0,
    0.5
  ],
  "/records/0/alpha": 1,
  "/records/0/premultiplied": [
    0.5,
    0,
    0.5
  ]
}
```

## Opaque sRGB Contrast Ratio

USD 1.00 per job.

Compute relative luminance and contrast for two opaque sRGB colors and compare with a supplied ratio. Font size, rendered backgrounds, transparency and accessibility certification are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/WAI/WCAG21/Understanding/relative-luminance.html). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "foreground": [
        0,
        0,
        0
      ],
      "background": [
        1,
        1,
        1
      ],
      "minimumRatio": 4.5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/foregroundLuminance": 0,
  "/records/0/backgroundLuminance": 1,
  "/records/0/contrastRatio": 21,
  "/records/0/meetsSuppliedRatio": true
}
```

## CIE76 Color Difference Batch

USD 1.00 per job.

Compute Euclidean CIE76 differences for Lab pairs in one supplied white/viewing context. Perceptual acceptability, CIEDE2000 and tolerances for a particular production process are not inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "first": [
        50,
        3,
        4
      ],
      "second": [
        50,
        0,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/deltaE76": 5,
  "/records/0/lightnessDifference": 0,
  "/records/0/chromaDifference": 5
}
```

## Directed Hue Interpolation

USD 1.00 per job.

Interpolate explicitly defined hue angles along the shorter, increasing or decreasing directed arc. Equal endpoints have zero arc; achromatic or missing-color-component inference is excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "firstDegrees": 350,
      "secondDegrees": 10,
      "fraction": 0.5,
      "direction": "shorter"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/degrees": 0,
  "/records/0/arcDegrees": 20
}
```

## Weighted Lab Palette Medoids

USD 1.00 per job.

Select an exact small weighted Lab medoid palette under squared Euclidean distance; centers remain supplied colors and ties use the first lexicographic index set. Input color matching, CIEDE2000 and image decoding are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://www.w3.org/TR/2026/CRD-css-color-4-20261009/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "colors": [
        [
          0,
          0,
          0
        ],
        [
          50,
          0,
          0
        ],
        [
          100,
          0,
          0
        ]
      ],
      "weights": [
        1,
        10,
        1
      ],
      "count": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/indices": [
    1
  ],
  "/records/0/assignments": [
    1,
    1,
    1
  ],
  "/records/0/weightedSquaredError": 5000
}
```

## Raster Reference Histogram Match

USD 1.00 per job.

Match a grayscale source cumulative histogram to the closest cumulative level present in a supplied reference raster. Equal distances select the lower reference level; finite discrete mapping need not reproduce the reference histogram exactly. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      0,
      0
    ],
    [
      1,
      3
    ]
  ],
  "reference": [
    [
      10,
      10
    ],
    [
      20,
      20
    ]
  ]
}
```

Selected expected result fields:

```json
{
  "/image": [
    [
      10,
      10
    ],
    [
      10,
      20
    ]
  ]
}
```

## Raster Clipped Local Mean Threshold

USD 1.00 per job.

Threshold each grayscale sample against its local box mean minus a supplied offset. Odd windows clip and renormalize at raster edges; this explicit edge convention differs from replicated-border implementations. Foreground uses strict greater-than. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      0,
      0
    ],
    [
      255,
      255
    ]
  ],
  "window": 3,
  "offset": 0
}
```

Selected expected result fields:

```json
{
  "/thresholds": [
    [
      127.5,
      127.5
    ],
    [
      127.5,
      127.5
    ]
  ],
  "/foregroundCount": 2,
  "/binary": [
    [
      0,
      0
    ],
    [
      1,
      1
    ]
  ]
}
```

## Raster Exact Squared Distance

USD 1.00 per job.

Compute exact squared Euclidean pixel distance to the nearest zero pixel on a small binary raster. An image without background returns null distances; no physical pixel scale is inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      0,
      1,
      1
    ],
    [
      1,
      1,
      1
    ]
  ]
}
```

Selected expected result fields:

```json
{
  "/squaredDistance": [
    [
      0,
      1,
      4
    ],
    [
      1,
      2,
      5
    ]
  ],
  "/hasBackground": true
}
```

## Raster Integral Rectangle Queries

USD 1.00 per job.

Answer exact unsigned grayscale sums and means for supplied half-open pixel rectangles using an integral image. Rectangles must lie inside the supplied raster; no coordinate clipping occurs. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      1,
      2
    ],
    [
      3,
      4
    ]
  ],
  "rectangles": [
    {
      "id": "A",
      "x0": 0,
      "y0": 0,
      "x1": 2,
      "y1": 2
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/rectangles": [
    {
      "id": "A",
      "sum": 10,
      "area": 4,
      "mean": 2.5
    }
  ]
}
```

## Raster Bayer Ordered Dither

USD 1.00 per job.

Apply a supplied-size Bayer threshold tile to unsigned grayscale samples. Thresholds use the centered cell convention; output is binary and does not encode a display or printer profile. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      127,
      127
    ],
    [
      127,
      127
    ]
  ],
  "size": 2
}
```

Selected expected result fields:

```json
{
  "/binary": [
    [
      1,
      0
    ],
    [
      0,
      1
    ]
  ]
}
```

## Raster Floyd Steinberg Dither

USD 1.00 per job.

Diffuse grayscale quantization error with Floyd Steinberg weights and optional alternating row direction. Out-of-image error is discarded; neither output sum conservation nor printer calibration is claimed. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      128,
      128
    ]
  ],
  "serpentine": false
}
```

Selected expected result fields:

```json
{
  "/image": [
    [
      255,
      0
    ]
  ],
  "/inputSum": 256,
  "/outputSum": 255
}
```

## Raster Uniform Window SSIM

USD 1.00 per job.

Compare same-sized grayscale rasters with population-moment SSIM over every uniform box window, plus MSE and PSNR. This is the stated box-window variant, not Gaussian-default SSIM or a human quality guarantee; infinite PSNR is null. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ece.uwaterloo.ca/~z70wang/research/ssim/). No endorsement is implied.

Example input:

```json
{
  "first": [
    [
      1,
      2
    ],
    [
      3,
      4
    ]
  ],
  "second": [
    [
      1,
      2
    ],
    [
      3,
      4
    ]
  ],
  "window": 2,
  "dataRange": 255
}
```

Selected expected result fields:

```json
{
  "/meanSsim": 1,
  "/windows": 1,
  "/mse": 0,
  "/psnrDb": null
}
```

## Raster Region Topology Measures

USD 1.00 per job.

Measure all eight-connected foreground regions and four-connected enclosed background holes. Perimeters count exposed pixel edges; bounding coordinates are inclusive, and no object identity or physical scale is inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      1,
      1,
      1
    ],
    [
      1,
      0,
      1
    ],
    [
      1,
      1,
      1
    ]
  ]
}
```

Selected expected result fields:

```json
{
  "/holes": 1,
  "/eulerNumber": 0,
  "/regions/0/area": 8,
  "/regions/0/perimeter": 16
}
```

## Raster Template Normalized Correlation

USD 1.00 per job.

Search all valid placements of a grayscale template using zero-mean normalized cross correlation. Constant patches or templates have undefined scores, returned as null; equal maxima use row-major order. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "image": [
    [
      0,
      1,
      0
    ],
    [
      1,
      2,
      1
    ]
  ],
  "template": [
    [
      0,
      1
    ],
    [
      1,
      2
    ]
  ]
}
```

Selected expected result fields:

```json
{
  "/bestRow": 0,
  "/bestColumn": 0,
  "/bestScore": 1
}
```

## Raster Hough Line Votes

USD 1.00 per job.

Accumulate normal-form line votes from unique integer points at explicit angles in [0,180). Rho rounds to the nearest supplied bin with JavaScript tie handling; returned bins are not deduplicated physical lines. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://docs.opencv.org/4.x/d7/d1b/group__imgproc__misc.html). No endorsement is implied.

Example input:

```json
{
  "points": [
    {
      "x": 0,
      "y": 0
    },
    {
      "x": 0,
      "y": 1
    },
    {
      "x": 0,
      "y": 2
    }
  ],
  "anglesDegrees": [
    0,
    90
  ],
  "rhoStep": 1,
  "top": 1
}
```

Selected expected result fields:

```json
{
  "/peaks": [
    {
      "angleDegrees": 0,
      "rho": 0,
      "votes": 3
    }
  ]
}
```

## RLC Impedance at Frequency

USD 1.00 per job.

Evaluate a series ideal RLC impedance at one supplied frequency in SI units. A finite positive capacitance is required; parasitics, power ratings and physical safety are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "resistanceOhm": 3,
      "inductanceHenry": 0,
      "capacitanceFarad": 1,
      "frequencyHz": 0.15915494309189535
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/impedanceOhm": [
    3,
    -1
  ],
  "/records/0/magnitudeOhm": 3.1622776601683795
}
```

## Complex Impedance Series Parallel

USD 1.00 per job.

Combine finite complex impedances in an explicit series or parallel bank. Singular inverse or zero-admittance profiles reject before checkout; this does not infer circuit wiring. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "impedances": [
        [
          10,
          0
        ],
        [
          10,
          0
        ]
      ],
      "mode": "parallel"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/impedance": [
    5,
    0
  ],
  "/records/0/magnitude": 5
}
```

## Balanced Three Phase Load

USD 1.00 per job.

Evaluate an ideal balanced passive star or delta load from line RMS voltage and per-phase impedance. Unbalance, harmonic effects, equipment ratings and electrical installation advice are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "lineVoltageRms": 173.20508075688772,
      "phaseImpedance": [
        10,
        0
      ],
      "connection": "star"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/phaseCurrentRms": 10,
  "/records/0/lineCurrentRms": 10,
  "/records/0/activePower": 3000,
  "/records/0/reactivePower": 0,
  "/records/0/apparentPower": 3000,
  "/records/0/powerFactor": 1
}
```

## Complex Star Delta Transform

USD 1.00 per job.

Transform star branches A,B,C and delta branches AB,BC,CA with explicit index conventions. Complex singularities reject before checkout; no physical network is modified. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "branches": [
        [
          1,
          0
        ],
        [
          1,
          0
        ],
        [
          1,
          0
        ]
      ],
      "direction": "star-to-delta"
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/branches": [
    [
      3,
      0
    ],
    [
      3,
      0
    ],
    [
      3,
      0
    ]
  ]
}
```

## Finite Load Reflection Coefficient

USD 1.00 per job.

Compute the voltage reflection coefficient for a finite passive termination and a positive real characteristic impedance. Infinite standing-wave ratio is null; open-circuit and lossy-line power models are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "characteristicOhm": 50,
      "loadOhm": [
        100,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/reflection": [
    0.3333333333333333,
    0
  ],
  "/records/0/reflectedPowerFraction": 0.1111111111111111,
  "/records/0/standingWaveRatio": 2
}
```

## Lossless Line Input Impedance

USD 1.00 per job.

Evaluate lossless-line input impedance from electrical length in wavelengths, using sine/cosine form through quarter waves. Finite singular profiles reject; loss, dispersion and physical length conversion are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "characteristicOhm": 50,
      "loadOhm": [
        100,
        0
      ],
      "lengthWavelengths": 0
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/inputOhm": [
    100,
    0
  ]
}
```

## Two Port ABCD Cascade

USD 1.00 per job.

Cascade supplied complex ABCD matrices in input order under [V1,I1]=M[V2,I2]. Current-direction convention and compatible units are caller responsibilities; determinant is reported without certification. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "matrices": [
        [
          [
            [
              1,
              0
            ],
            [
              10,
              0
            ]
          ],
          [
            [
              0,
              0
            ],
            [
              1,
              0
            ]
          ]
        ],
        [
          [
            [
              1,
              0
            ],
            [
              0,
              0
            ]
          ],
          [
            [
              0.1,
              0
            ],
            [
              1,
              0
            ]
          ]
        ]
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/matrix": [
    [
      [
        2,
        0
      ],
      [
        10,
        0
      ]
    ],
    [
      [
        0.1,
        0
      ],
      [
        1,
        0
      ]
    ]
  ],
  "/records/0/determinant": [
    1,
    0
  ]
}
```

## Series RLC Natural Poles

USD 1.00 per job.

Compute ideal positive series RLC natural poles, damping ratio and Q from SI component values. These mathematical small-signal quantities are not equipment ratings or operating instructions. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "resistanceOhm": 2,
      "inductanceHenry": 1,
      "capacitanceFarad": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/naturalRadiansPerSecond": 1,
  "/records/0/dampingRatio": 1,
  "/records/0/qualityFactor": 0.5,
  "/records/0/poles": [
    [
      -1,
      0
    ],
    [
      -1,
      0
    ]
  ]
}
```

## Sampled Waveform True Power

USD 1.00 per job.

Compute true RMS and average instantaneous power over equally spaced aligned samples of the same observation window. Nonactive magnitude is not labeled reactive power for nonsinusoidal data; sampling adequacy is not inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "voltage": [
        1,
        -1
      ],
      "current": [
        2,
        -2
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/voltageRms": 1,
  "/records/0/currentRms": 2,
  "/records/0/activePower": 2,
  "/records/0/apparentPower": 2,
  "/records/0/truePowerFactor": 1,
  "/records/0/nonactiveMagnitude": 0
}
```

## Fortescue Symmetrical Components

USD 1.00 per job.

Decompose ordered A,B,C complex phasors using a=exp(j120 degrees). Negative-to-positive sequence magnitude is null when the positive sequence is numerically zero; no fault diagnosis or relay setting is supplied. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://ocw.mit.edu/courses/es-1803-differential-equations-spring-2024/mites_1803_s24_complex_impedance.pdf). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "phases": [
        [
          1,
          0
        ],
        [
          -0.5,
          -0.8660254037844386
        ],
        [
          -0.5,
          0.8660254037844386
        ]
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/zero": [
    0,
    0
  ],
  "/records/0/positive": [
    1,
    0
  ],
  "/records/0/negative": [
    0,
    0
  ],
  "/records/0/negativeToPositive": 0
}
```

## Rotation Vector Exponential

USD 1.00 per job.

Map an axis-angle rotation vector in radians to an active right-handed rotation matrix. Small-angle series preserve numerical continuity; units and frame meaning must be explicit to the caller. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "rotationVector": [
        0,
        0,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/matrix": [
    [
      1,
      0,
      0
    ],
    [
      0,
      1,
      0
    ],
    [
      0,
      0,
      1
    ]
  ]
}
```

## Rotation Matrix Principal Logarithm

USD 1.00 per job.

Return a principal rotation vector with angle in [0,pi] from a proper rotation matrix. At pi the axis sign is nonunique; the largest-diagonal construction chooses a deterministic representative. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "matrix": [
        [
          1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          0,
          1
        ]
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/rotationVector": [
    0,
    0,
    0
  ],
  "/records/0/angleRadians": 0
}
```

## Quaternion Shortest SLERP

USD 1.00 per job.

Interpolate normalized scalar-first quaternions along the shortest orientation arc. Opposite signs represent the same orientation; no angular-rate timing or robot control is performed. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "first": [
        1,
        0,
        0,
        0
      ],
      "second": [
        -1,
        0,
        0,
        0
      ],
      "fraction": 0.5
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/quaternion": [
    1,
    0,
    0,
    0
  ],
  "/records/0/flippedSecond": true
}
```

## ZYX Euler Matrix Codec

USD 1.00 per job.

Extract intrinsic ZYX yaw, pitch and roll from a proper active rotation matrix. At gimbal lock roll is fixed to zero and the singular flag is explicit; this is not a unique global orientation parameterization. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "matrix": [
        [
          1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          0,
          1
        ]
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/yawRadians": 0,
  "/records/0/pitchRadians": 0,
  "/records/0/rollRadians": 0,
  "/records/0/singular": false
}
```

## Rigid Adjoint Twist Transform

USD 1.00 per job.

Apply the SE(3) adjoint to a twist ordered angular then linear, with p locating the source origin in the target frame. Frames and length units are caller-defined; no motion command occurs. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "rotation": [
        [
          1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          0,
          1
        ]
      ],
      "translation": [
        1,
        0,
        0
      ],
      "angular": [
        0,
        0,
        1
      ],
      "linear": [
        0,
        0,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/angular": [
    0,
    0,
    1
  ],
  "/records/0/linear": [
    0,
    -1,
    0
  ]
}
```

## Rigid Wrench Dual Transform

USD 1.00 per job.

Transform a force and moment to a target frame using the same source-to-target pose convention as the adjoint. The moment changes with origin; mechanical strength and actuation limits are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "rotation": [
        [
          1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          0,
          1
        ]
      ],
      "translation": [
        1,
        0,
        0
      ],
      "moment": [
        0,
        0,
        0
      ],
      "force": [
        0,
        1,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/moment": [
    0,
    0,
    1
  ],
  "/records/0/force": [
    0,
    1,
    0
  ]
}
```

## SE3 Twist Exponential

USD 1.00 per job.

Integrate one constant spatial twist from the identity over a signed duration using the SE(3) exponential and its small-angle left Jacobian. This is a mathematical pose calculation, not trajectory safety or machine control. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "angular": [
        0,
        0,
        0
      ],
      "linear": [
        1,
        2,
        3
      ],
      "duration": 2
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/rotation": [
    [
      1,
      0,
      0
    ],
    [
      0,
      1,
      0
    ],
    [
      0,
      0,
      1
    ]
  ],
  "/records/0/translation": [
    2,
    4,
    6
  ]
}
```

## Spatial Inertia Origin Transfer

USD 1.00 per job.

Rotate a physically consistent principal inertia and shift it from center of mass to a supplied origin. The 6x6 spatial inertia uses angular-linear order; shape, material and measurement accuracy are not inferred. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "massKg": 2,
      "center": [
        1,
        0,
        0
      ],
      "principalInertia": [
        1,
        1,
        1
      ],
      "principalRotation": [
        [
          1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          0,
          1
        ]
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/rotationalAtOrigin": [
    [
      1,
      0,
      0
    ],
    [
      0,
      3,
      0
    ],
    [
      0,
      0,
      3
    ]
  ]
}
```

## Rigid Pose Chain Composition

USD 1.00 per job.

Compose an ordered chain T1*T2*... using column-vector source-to-target poses. Matched frame names are the caller responsibility; this does not invert or infer registration from point observations. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "poses": [
        {
          "rotation": [
            [
              1,
              0,
              0
            ],
            [
              0,
              1,
              0
            ],
            [
              0,
              0,
              1
            ]
          ],
          "translation": [
            1,
            2,
            3
          ]
        },
        {
          "rotation": [
            [
              1,
              0,
              0
            ],
            [
              0,
              1,
              0
            ],
            [
              0,
              0,
              1
            ]
          ],
          "translation": [
            4,
            5,
            6
          ]
        }
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/rotation": [
    [
      1,
      0,
      0
    ],
    [
      0,
      1,
      0
    ],
    [
      0,
      0,
      1
    ]
  ],
  "/records/0/translation": [
    5,
    7,
    9
  ]
}
```

## Twist Lie Bracket

USD 1.00 per job.

Compute the se(3) Lie bracket for angular-linear twists in one common frame. Ordering is antisymmetric; no control, stability or integration accuracy claim is implied. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://modernrobotics.northwestern.edu/nu-gm-book-resource/3-3-3-exponential-coordinates-of-rigid-body-motion/). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "firstAngular": [
        0,
        0,
        1
      ],
      "firstLinear": [
        0,
        0,
        0
      ],
      "secondAngular": [
        0,
        0,
        0
      ],
      "secondLinear": [
        1,
        0,
        0
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/angular": [
    0,
    0,
    0
  ],
  "/records/0/linear": [
    0,
    1,
    0
  ]
}
```

## Thin Lens Signed Conjugates

USD 1.00 per job.

Solve signed paraxial thin-lens conjugates with positive real-object and real-image distances. Equal units are required; a focal-plane object gives null infinity quantities. Aberrations and lens thickness are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "focalLength": 10,
      "objectDistance": 20
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/imageDistance": 20,
  "/records/0/magnification": -1,
  "/records/0/imageAtInfinity": false
}
```

## Paraxial Ray ABCD Trace

USD 1.00 per job.

Trace [height,slope] through real 2x2 paraxial elements in propagation order. Element units and refractive-index conventions are supplied by the caller; no lens design or finite-angle ray tracing is claimed. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "height": 1,
      "slope": 0,
      "elements": [
        {
          "A": 1,
          "B": 0,
          "C": -0.1,
          "D": 1
        },
        {
          "A": 1,
          "B": 10,
          "C": 0,
          "D": 1
        }
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/height": 0,
  "/records/0/slope": -0.1,
  "/records/0/determinant": 1,
  "/records/0/matrix": [
    [
      0,
      10
    ],
    [
      -0.1,
      1
    ]
  ]
}
```

## Snell Planar Interface

USD 1.00 per job.

Apply Snell refraction at a flat interface between positive real refractive indices, with incidence measured from the normal. Total internal reflection returns null transmitted angle; absorption and dispersion are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "incidentIndex": 1,
      "transmittedIndex": 2,
      "incidentDegrees": 30
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/transmittedDegrees": 14.477512185929923,
  "/records/0/totalInternalReflection": false,
  "/records/0/criticalDegrees": null
}
```

## Dielectric Fresnel Power

USD 1.00 per job.

Compute lossless dielectric interface power reflectance and transmittance for s and p polarizations. Positive real indices only; evanescent phase, coatings and absorption are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "incidentIndex": 1,
      "transmittedIndex": 1.5,
      "incidentDegrees": 0
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/sReflectance": 0.04,
  "/records/0/pReflectance": 0.04,
  "/records/0/unpolarizedReflectance": 0.04,
  "/records/0/sTransmittance": 0.96,
  "/records/0/pTransmittance": 0.96,
  "/records/0/totalInternalReflection": false
}
```

## Coherent Double Slit Profile

USD 1.00 per job.

Evaluate the normalized Fraunhofer envelope and interference factor of two equal coherent slits. Wavelength and geometry use metres; finite-distance and partial-coherence effects are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "wavelengthM": 1,
      "slitWidthM": 1,
      "slitSeparationM": 2,
      "angleDegrees": 0
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/normalizedIntensity": 1,
  "/records/0/envelope": 1,
  "/records/0/interferenceFactor": 1
}
```

## Diffraction Grating Order Angle

USD 1.00 per job.

Evaluate a scalar transmission-grating order under sin(thetaOut)=sin(thetaIn)+m*lambda/d. Nonpropagating orders return null angle; efficiency, blaze and finite-aperture effects are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "wavelengthM": 1,
      "periodM": 2,
      "incidentDegrees": 0,
      "order": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/diffractedDegrees": 30,
  "/records/0/propagating": true
}
```

## Ideal Polarizer Stack

USD 1.00 per job.

Apply ideal Malus-law intensity changes through linear polarizers, including one-half transmission for an initially unpolarized beam at its first polarizer. Real extinction ratios and coherent retarders are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "incidentIntensity": 100,
      "initialUnpolarized": true,
      "initialDegrees": 0,
      "axesDegrees": [
        0,
        90
      ]
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/transmittedIntensity": 0,
  "/records/0/transmissionFraction": 0,
  "/records/0/stageIntensities": [
    50,
    0
  ]
}
```

## Jones To Stokes Parameters

USD 1.00 per job.

Convert one coherent complex Jones vector to Stokes parameters with S3=2*Im(conj(Ex)*Ey). The azimuth of a circular state is conventionally zero; time convention and handedness must be interpreted accordingly. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "exReal": 1,
      "exImag": 0,
      "eyReal": 0,
      "eyImag": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/stokes": [
    2,
    0,
    0,
    2
  ],
  "/records/0/degreeOfPolarization": 1,
  "/records/0/azimuthRadians": 0,
  "/records/0/ellipticityRadians": 0.7853981633974483
}
```

## Plane Parallel Optical Delay

USD 1.00 per job.

Compute normal-incidence phase delay relative to an equal-thickness reference medium, wrapping into [0,2pi). Group delay, oblique incidence and wavelength-dependent dispersion are excluded. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "thicknessM": 1,
      "refractiveIndex": 1.5,
      "referenceIndex": 1,
      "vacuumWavelengthM": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/opticalPathDifferenceM": 0.5,
  "/records/0/phaseRadians": 3.141592653589793,
  "/records/0/wrappedPhaseRadians": 3.141592653589793
}
```

## Circular Aperture Rayleigh Scale

USD 1.00 per job.

Return the conventional 1.22*lambda/D small-angle Rayleigh scale for a uniform circular aperture and its focal-plane separation. The paraxial flag uses 0.1 radians as an explicit calculation profile, not a resolution guarantee. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

Reference: [technical reference](https://openstax.org/books/university-physics-volume-3/pages/2-4-thin-lenses). No endorsement is implied.

Example input:

```json
{
  "records": [
    {
      "id": "R1",
      "wavelengthM": 0.000001,
      "diameterM": 0.1,
      "focalLengthM": 1
    }
  ]
}
```

Selected expected result fields:

```json
{
  "/records/0/smallAngleRadians": 0.0000122,
  "/records/0/focalSeparationM": 0.0000122,
  "/records/0/paraxialProfile": true
}
```