{ "fraction-subtract": [ { "calculatorId": "fraction-subtract", "methodVersion": "fraction-subtract@1.0.0", "runAt": "2026-10-29T06:04:06.908Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "numeratorA": "5", "denominatorA": "6", "numeratorB": "3", "denominatorB": "4" } ], "units": { "numeratorA": "integer", "denominatorA": "integer", "numeratorB": "integer", "denominatorB": "integer" }, "display": "First numerator: 5 integer; First denominator: 6 integer; Second numerator: 3 integer; Second denominator: 4 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "1", "denominator": "12", "fraction": "1/12", "lcd": "12", "scaledNumeratorA": "10", "scaledNumeratorB": "9", "unreduced": "1/12", "gcd": "1", "mixed": "1/12", "negative": false, "zero": false, "sameDenominator": false, "decimal": "0.08(3)", "decimalType": "repeating", "decimalExact": true }, "errors": [], "warnings": [], "steps": [ { "label": "Least common denominator = lcm of the denominators", "expression": "lcm(6, 4) = (6 × 4) / gcd(6, 4) = 12" }, { "label": "Rewrite both fractions over the least common denominator", "expression": "5/6 = 10/12; 3/4 = 9/12" }, { "label": "Subtract the numerators and keep the denominator", "expression": "(10 − (9))/12 = 1/12" }, { "label": "Reduce by the greatest common divisor of the numerator and denominator", "expression": "gcd(1, 12) = 1; 1/12 = 1/12" } ], "explanation": "Rewrite both fractions over their least common denominator 12, subtract the numerators (10 − 9 = 1), then divide the numerator and denominator by their greatest common divisor 1. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: 1/12 fraction" }, "expected": { "value": { "fraction": "1/12" }, "display": "Fraction: 1/12 fraction", "source": "packages/calculator-core/tests/fraction-subtract.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction-subtract", "methodVersion": "fraction-subtract@1.0.0", "runAt": "2026-10-29T06:04:06.908Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "numeratorA": "1", "denominatorA": "2", "numeratorB": "1", "denominatorB": "2" } ], "units": { "numeratorA": "integer", "denominatorA": "integer", "numeratorB": "integer", "denominatorB": "integer" }, "display": "First numerator: 1 integer; First denominator: 2 integer; Second numerator: 1 integer; Second denominator: 2 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "0", "denominator": "1", "fraction": "0/1", "lcd": "2", "scaledNumeratorA": "1", "scaledNumeratorB": "1", "unreduced": "0/2", "gcd": "2", "mixed": "0", "negative": false, "zero": true, "sameDenominator": true, "decimal": "0", "decimalType": "terminating", "decimalExact": true }, "errors": [], "warnings": [ { "code": "zero_result", "severity": "info", "message": "The two fractions are equal, so the difference is 0." } ], "steps": [ { "label": "The denominators already match, so the least common denominator is that denominator", "expression": "lcm(2, 2) = (2 × 2) / gcd(2, 2) = 2" }, { "label": "Rewrite both fractions over the least common denominator", "expression": "1/2 = 1/2; 1/2 = 1/2" }, { "label": "Subtract the numerators and keep the denominator", "expression": "(1 − (1))/2 = 0/2" }, { "label": "Reduce by the greatest common divisor of the numerator and denominator", "expression": "gcd(0, 2) = 2; 0/2 = 0/1" } ], "explanation": "Rewrite both fractions over their least common denominator 2, subtract the numerators (1 − 1 = 0), then divide the numerator and denominator by their greatest common divisor 2. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: 0/1 fraction" }, "expected": { "value": { "fraction": "0/1" }, "display": "Fraction: 0/1 fraction", "source": "packages/calculator-core/tests/fraction-subtract.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction-subtract", "methodVersion": "fraction-subtract@1.0.0", "runAt": "2026-10-29T06:04:06.908Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "numeratorA": "1", "denominatorA": "3", "numeratorB": "1", "denominatorB": "2" } ], "units": { "numeratorA": "integer", "denominatorA": "integer", "numeratorB": "integer", "denominatorB": "integer" }, "display": "First numerator: 1 integer; First denominator: 3 integer; Second numerator: 1 integer; Second denominator: 2 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "-1", "denominator": "6", "fraction": "-1/6", "lcd": "6", "scaledNumeratorA": "2", "scaledNumeratorB": "3", "unreduced": "-1/6", "gcd": "1", "mixed": "-1/6", "negative": true, "zero": false, "sameDenominator": false, "decimal": "-0.1(6)", "decimalType": "repeating", "decimalExact": true }, "errors": [], "warnings": [ { "code": "negative_result", "severity": "info", "message": "The second fraction is larger than the first, so the difference is negative. Swap the fractions to get the positive amount B − A." } ], "steps": [ { "label": "Least common denominator = lcm of the denominators", "expression": "lcm(3, 2) = (3 × 2) / gcd(3, 2) = 6" }, { "label": "Rewrite both fractions over the least common denominator", "expression": "1/3 = 2/6; 1/2 = 3/6" }, { "label": "Subtract the numerators and keep the denominator", "expression": "(2 − (3))/6 = -1/6" }, { "label": "Reduce by the greatest common divisor of the numerator and denominator", "expression": "gcd(1, 6) = 1; -1/6 = -1/6" } ], "explanation": "Rewrite both fractions over their least common denominator 6, subtract the numerators (2 − 3 = -1), then divide the numerator and denominator by their greatest common divisor 1. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: -1/6 fraction" }, "expected": { "value": { "fraction": "-1/6" }, "display": "Fraction: -1/6 fraction", "source": "packages/calculator-core/tests/fraction-subtract.test.ts" }, "tolerance": 1e-10, "pass": true } ], "fraction-simplify": [ { "calculatorId": "fraction-simplify", "methodVersion": "fraction-simplify@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "numerator": "42", "denominator": "56" } ], "units": { "numerator": "integer", "denominator": "integer" }, "display": "Numerator: 42 integer; Denominator: 56 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "3", "denominator": "4", "fraction": "3/4", "gcd": "14", "improperNumerator": "42", "improperDenominator": "56", "mixed": "3/4", "alreadySimplest": false, "decimal": "0.75", "decimalType": "terminating", "decimalExact": true, "nonRepeatingDigits": "75", "repeatingDigits": null, "denominatorTwos": 2, "denominatorFives": 0, "denominatorRest": "1" }, "errors": [], "warnings": [], "steps": [ { "label": "Euclid step 1", "expression": "42 = 0 × 56 + 42" }, { "label": "Euclid step 2", "expression": "56 = 1 × 42 + 14" }, { "label": "Euclid step 3", "expression": "42 = 3 × 14 + 0" }, { "label": "Factor and cancel the greatest common divisor", "expression": "(14 × 3) / (14 × 4) = 3/4" }, { "label": "Classify the reduced denominator", "expression": "4 = 2^2 × 5^0 × 1; terminating decimal" } ], "explanation": "Divide numerator and denominator by their positive GCD 14. The reduced denominator has no prime factors other than 2 and 5 (or equals 1), so its decimal terminates. Parentheses mark a complete repeating block when found. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: 3/4 fraction" }, "expected": { "value": { "fraction": "3/4" }, "display": "Fraction: 3/4 fraction", "source": "packages/calculator-core/tests/fraction-simplify.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction-simplify", "methodVersion": "fraction-simplify@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "numerator": "0", "denominator": "-5" } ], "units": { "numerator": "integer", "denominator": "integer" }, "display": "Numerator: 0 integer; Denominator: -5 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "0", "denominator": "1", "fraction": "0/1", "gcd": "5", "improperNumerator": "0", "improperDenominator": "5", "mixed": "0", "alreadySimplest": false, "decimal": "0", "decimalType": "terminating", "decimalExact": true, "nonRepeatingDigits": "", "repeatingDigits": null, "denominatorTwos": 0, "denominatorFives": 0, "denominatorRest": "1" }, "errors": [], "warnings": [ { "code": "zero_fraction", "severity": "info", "message": "Zero divided by any nonzero denominator simplifies to 0/1; gcd(0, d) is |d|." } ], "steps": [ { "label": "Move the sign to the numerator", "expression": "0/-5 = 0/5" }, { "label": "Euclid step 1", "expression": "0 = 0 × 5 + 0" }, { "label": "Factor and cancel the greatest common divisor", "expression": "(5 × 0) / (5 × 1) = 0/1" }, { "label": "Classify the reduced denominator", "expression": "1 = 2^0 × 5^0 × 1; terminating decimal" } ], "explanation": "Divide numerator and denominator by their positive GCD 5. The reduced denominator has no prime factors other than 2 and 5 (or equals 1), so its decimal terminates. Parentheses mark a complete repeating block when found. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: 0/1 fraction" }, "expected": { "value": { "fraction": "0/1" }, "display": "Fraction: 0/1 fraction", "source": "packages/calculator-core/tests/fraction-simplify.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction-simplify", "methodVersion": "fraction-simplify@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "numerator": "-42", "denominator": "56" } ], "units": { "numerator": "integer", "denominator": "integer" }, "display": "Numerator: -42 integer; Denominator: 56 integer" }, "output": { "returned": { "ok": true, "output": { "numerator": "-3", "denominator": "4", "fraction": "-3/4", "gcd": "14", "improperNumerator": "-42", "improperDenominator": "56", "mixed": "-3/4", "alreadySimplest": false, "decimal": "-0.75", "decimalType": "terminating", "decimalExact": true, "nonRepeatingDigits": "75", "repeatingDigits": null, "denominatorTwos": 2, "denominatorFives": 0, "denominatorRest": "1" }, "errors": [], "warnings": [], "steps": [ { "label": "Euclid step 1", "expression": "42 = 0 × 56 + 42" }, { "label": "Euclid step 2", "expression": "56 = 1 × 42 + 14" }, { "label": "Euclid step 3", "expression": "42 = 3 × 14 + 0" }, { "label": "Factor and cancel the greatest common divisor", "expression": "(14 × -3) / (14 × 4) = -3/4" }, { "label": "Classify the reduced denominator", "expression": "4 = 2^2 × 5^0 × 1; terminating decimal" } ], "explanation": "Divide numerator and denominator by their positive GCD 14. The reduced denominator has no prime factors other than 2 and 5 (or equals 1), so its decimal terminates. Parentheses mark a complete repeating block when found. A mixed-number minus sign applies to the entire value." }, "display": "Fraction: -3/4 fraction" }, "expected": { "value": { "fraction": "-3/4" }, "display": "Fraction: -3/4 fraction", "source": "packages/calculator-core/tests/fraction-simplify.test.ts" }, "tolerance": 1e-10, "pass": true } ], "significant-figures": [ { "calculatorId": "significant-figures", "methodVersion": "significant-figures@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": "0.00450" } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits", "mode": "rounding convention" }, "display": "Value: 0.00450 dimensionless exact decimal" }, "output": { "returned": { "ok": true, "output": { "count": 3, "ambiguous": false, "assumption": "Leading zeros do not count; nonzero digits, interior zeros and written trailing zeros in a decimal or E-notation coefficient count.", "decimal": "0.00450", "scientific": "4.50 × 10^-3", "eNotation": "4.50E-3", "requestedFigures": null, "rounded": false }, "errors": [], "warnings": [], "steps": [ { "label": "Count the original written digits", "expression": "0.00450: 3 significant figures" }, { "label": "Preserve the value", "expression": "No change to the numeric value" }, { "label": "Display the resulting precision explicitly", "expression": "4.50 × 10^-3 = 4.50E-3" } ], "explanation": "Leading zeros do not count; nonzero digits, interior zeros and written trailing zeros in a decimal or E-notation coefficient count. No rounding requested." }, "display": "Count: 3; Scientific notation: 4.50 × 10^-3 scientific notation" }, "expected": { "value": { "count": 3, "scientific": "4.50 × 10^-3" }, "display": "Count: 3; Scientific notation: 4.50 × 10^-3 scientific notation", "source": "packages/calculator-core/tests/significant-figures.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "significant-figures", "methodVersion": "significant-figures@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": "0" } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits", "mode": "rounding convention" }, "display": "Value: 0 dimensionless exact decimal" }, "output": { "returned": { "ok": true, "output": { "count": null, "ambiguous": false, "assumption": "All-zero input: a significant-figure count is not inferred. Zero is displayed as 0 × 10^0 regardless of requested precision.", "decimal": "0", "scientific": "0 × 10^0", "eNotation": "0E0", "requestedFigures": null, "rounded": false }, "errors": [], "warnings": [ { "code": "zero_convention", "severity": "info", "message": "All-zero input: a significant-figure count is not inferred. Zero is displayed as 0 × 10^0 regardless of requested precision." } ], "steps": [ { "label": "Count the original written digits", "expression": "0: indeterminate significant figures" }, { "label": "Preserve the value", "expression": "No change to the numeric value" }, { "label": "Display the resulting precision explicitly", "expression": "0 × 10^0 = 0E0" } ], "explanation": "All-zero input: a significant-figure count is not inferred. Zero is displayed as 0 × 10^0 regardless of requested precision. No rounding requested." }, "display": "Count: null; Scientific notation: 0 × 10^0 scientific notation" }, "expected": { "value": { "count": null, "scientific": "0 × 10^0" }, "display": "Count: null; Scientific notation: 0 × 10^0 scientific notation", "source": "packages/calculator-core/tests/significant-figures.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "significant-figures", "methodVersion": "significant-figures@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": "-1.25", "significantFigures": 2, "mode": "half-even" } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits", "mode": "rounding convention" }, "display": "Value: -1.25 dimensionless exact decimal; Significant figures: 2 digits; Rounding rule: half-even rounding convention" }, "output": { "returned": { "ok": true, "output": { "count": 3, "ambiguous": false, "assumption": "Leading zeros do not count; nonzero digits, interior zeros and written trailing zeros in a decimal or E-notation coefficient count.", "decimal": "-1.2", "scientific": "-1.2 × 10^0", "eNotation": "-1.2E0", "requestedFigures": 2, "rounded": true }, "errors": [], "warnings": [ { "code": "rounded", "severity": "info", "message": "Rounded once to 2 significant figures using ties to an even retained digit." } ], "steps": [ { "label": "Count the original written digits", "expression": "-1.25: 3 significant figures" }, { "label": "Round using half-even", "expression": "Keep 2 significant figures; round at decimal place 1" }, { "label": "Display the resulting precision explicitly", "expression": "-1.2 × 10^0 = -1.2E0" } ], "explanation": "Leading zeros do not count; nonzero digits, interior zeros and written trailing zeros in a decimal or E-notation coefficient count. Requested precision: 2; half-even." }, "display": "Scientific notation: -1.2 × 10^0 scientific notation" }, "expected": { "value": { "scientific": "-1.2 × 10^0" }, "display": "Scientific notation: -1.2 × 10^0 scientific notation", "source": "packages/calculator-core/tests/significant-figures.test.ts" }, "tolerance": 1e-10, "pass": true } ], "rounding": [ { "calculatorId": "rounding", "methodVersion": "rounding@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": "0.125", "places": 2 } ], "units": { "value": "dimensionless exact decimal", "places": "decimal places" }, "display": "Value: 0.125 dimensionless exact decimal; Decimal places: 2 decimal places" }, "output": { "returned": { "ok": true, "output": { "result": "0.13", "results": { "half-up": "0.13", "half-down": "0.12", "half-even": "0.12", "floor": "0.12", "ceiling": "0.13", "truncate": "0.12" }, "places": 2, "mode": "half-up", "discardedDigits": "5", "discardedExplanation": "Discarded digits: 5. The discarded magnitude is exactly half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer.", "tie": true, "rounded": true }, "errors": [], "warnings": [], "steps": [ { "label": "Choose the rounding unit", "expression": "10^-2" }, { "label": "Split the magnitude into retained units and a remainder", "expression": "12 retained units; discarded digits: 5" }, { "label": "Apply half-up", "expression": "0.125 ≈ 0.13" } ], "explanation": "Discarded digits: 5. The discarded magnitude is exactly half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer." }, "display": "Result: 0.13 rounded decimal" }, "expected": { "value": { "result": "0.13" }, "display": "Result: 0.13 rounded decimal", "source": "packages/calculator-core/tests/rounding.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "rounding", "methodVersion": "rounding@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": "-0.01", "places": 0 } ], "units": { "value": "dimensionless exact decimal", "places": "decimal places" }, "display": "Value: -0.01 dimensionless exact decimal; Decimal places: 0 decimal places" }, "output": { "returned": { "ok": true, "output": { "result": "0", "results": { "half-up": "0", "half-down": "0", "half-even": "0", "floor": "-1", "ceiling": "0", "truncate": "0" }, "places": 0, "mode": "half-up", "discardedDigits": "01", "discardedExplanation": "Discarded digits: 01. The discarded magnitude is less than half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer.", "tie": false, "rounded": true }, "errors": [], "warnings": [], "steps": [ { "label": "Choose the rounding unit", "expression": "10^0" }, { "label": "Split the magnitude into retained units and a remainder", "expression": "0 retained units; discarded digits: 01" }, { "label": "Apply half-up", "expression": "-0.01 ≈ 0" } ], "explanation": "Discarded digits: 01. The discarded magnitude is less than half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer." }, "display": "Result: 0 rounded decimal" }, "expected": { "value": { "result": "0" }, "display": "Result: 0 rounded decimal", "source": "packages/calculator-core/tests/rounding.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "rounding", "methodVersion": "rounding@1.0.0", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": "-150", "places": -2 } ], "units": { "value": "dimensionless exact decimal", "places": "decimal places" }, "display": "Value: -150 dimensionless exact decimal; Decimal places: -2 decimal places" }, "output": { "returned": { "ok": true, "output": { "result": "-200", "results": { "half-up": "-200", "half-down": "-100", "half-even": "-200", "floor": "-200", "ceiling": "-100", "truncate": "-100" }, "places": -2, "mode": "half-up", "discardedDigits": "50", "discardedExplanation": "Discarded digits: 50. The discarded magnitude is exactly half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer.", "tie": true, "rounded": true }, "errors": [], "warnings": [], "steps": [ { "label": "Choose the rounding unit", "expression": "10^2" }, { "label": "Split the magnitude into retained units and a remainder", "expression": "1 retained units; discarded digits: 50" }, { "label": "Apply half-up", "expression": "-150 ≈ -200" } ], "explanation": "Discarded digits: 50. The discarded magnitude is exactly half of one rounding unit. Half-up ties go away from zero; half-down ties go toward zero; half-even ties keep an even retained integer." }, "display": "Result: -200 rounded decimal" }, "expected": { "value": { "result": "-200" }, "display": "Result: -200 rounded decimal", "source": "packages/calculator-core/tests/rounding.test.ts" }, "tolerance": 1e-10, "pass": true } ], "fraction": [ { "calculatorId": "fraction", "methodVersion": "fraction-add@1.0.1", "runAt": "2026-10-29T06:04:06.909Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "numerator1": 1, "denominator1": 2, "numerator2": 1, "denominator2": 3 } ], "units": { "numerator1": "integer", "denominator1": "integer", "numerator2": "integer", "denominator2": "integer" }, "display": "First numerator: 1 integer; First denominator: 2 integer; Second numerator: 1 integer; Second denominator: 3 integer" }, "output": { "returned": { "ok": true, "output": { "simplifiedNum": 5, "simplifiedDen": 6 }, "errors": [], "warnings": [], "steps": [ { "label": "Add fractions", "expression": "1/2 + 1/3 = 5/6", "value": 0.8333333333333334 }, { "label": "Simplify", "expression": "5/6 = 5/6", "value": 0.8333333333333334 } ], "explanation": "The simplified sum is 5/6." }, "display": "Sum numerator: 5 numerator; Sum denominator: 6 denominator" }, "expected": { "value": { "simplifiedNum": 5, "simplifiedDen": 6 }, "display": "Sum numerator: 5 numerator; Sum denominator: 6 denominator", "source": "packages/calculator-core/tests/fraction.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction", "methodVersion": "fraction-add@1.0.1", "runAt": "2026-10-29T06:04:06.918Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "numerator1": 1, "denominator1": 2, "numerator2": -1, "denominator2": 2 } ], "units": { "numerator1": "integer", "denominator1": "integer", "numerator2": "integer", "denominator2": "integer" }, "display": "First numerator: 1 integer; First denominator: 2 integer; Second numerator: -1 integer; Second denominator: 2 integer" }, "output": { "returned": { "ok": true, "output": { "simplifiedNum": 0, "simplifiedDen": 1 }, "errors": [], "warnings": [], "steps": [ { "label": "Add fractions", "expression": "1/2 + -1/2 = 0/4", "value": 0 }, { "label": "Simplify", "expression": "0/4 = 0/1", "value": 0 } ], "explanation": "The simplified sum is 0/1." }, "display": "Sum numerator: 0 numerator; Sum denominator: 1 denominator" }, "expected": { "value": { "simplifiedNum": 0, "simplifiedDen": 1 }, "display": "Sum numerator: 0 numerator; Sum denominator: 1 denominator", "source": "packages/calculator-core/tests/fraction.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "fraction", "methodVersion": "fraction-add@1.0.1", "runAt": "2026-10-29T06:04:06.918Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "numerator1": 1, "denominator1": 4, "numerator2": 1, "denominator2": 4 } ], "units": { "numerator1": "integer", "denominator1": "integer", "numerator2": "integer", "denominator2": "integer" }, "display": "First numerator: 1 integer; First denominator: 4 integer; Second numerator: 1 integer; Second denominator: 4 integer" }, "output": { "returned": { "ok": true, "output": { "simplifiedNum": 1, "simplifiedDen": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "Add fractions", "expression": "1/4 + 1/4 = 8/16", "value": 0.5 }, { "label": "Simplify", "expression": "8/16 = 1/2", "value": 0.5 } ], "explanation": "The simplified sum is 1/2." }, "display": "Sum numerator: 1 numerator; Sum denominator: 2 denominator" }, "expected": { "value": { "simplifiedNum": 1, "simplifiedDen": 2 }, "display": "Sum numerator: 1 numerator; Sum denominator: 2 denominator", "source": "packages/calculator-core/tests/fraction.test.ts" }, "tolerance": 1e-10, "pass": true } ], "inductor-energy": [ { "calculatorId": "inductor-energy", "methodVersion": "inductor-energy@1.0.0", "runAt": "2026-10-29T06:04:06.918Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "inductanceH": 0.1, "currentA": 2 } ], "units": { "inductanceH": "H", "currentA": "A" }, "display": "Inductance: 0.1 H; Current: 2 A" }, "output": { "returned": { "ok": true, "output": { "energyJ": 0.2 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 0.1 H × 2² A = 0.2 J", "value": 0.2, "unit": "J" } ], "explanation": "The energy stored in the inductor is 0.2 joules." }, "display": "Stored energy: 0.2 J" }, "expected": { "value": { "energyJ": 0.2 }, "display": "Stored energy: 0.2 J", "source": "packages/calculator-core/tests/inductor-energy.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "inductor-energy", "methodVersion": "inductor-energy@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "inductanceH": 0.001, "currentA": 0.01 } ], "units": { "inductanceH": "H", "currentA": "A" }, "display": "Inductance: 0.001 H; Current: 0.01 A" }, "output": { "returned": { "ok": true, "output": { "energyJ": 5.0000000000000004e-8 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 0.001 H × 0.01² A = 5.000000e-8 J", "value": 5.0000000000000004e-8, "unit": "J" } ], "explanation": "The energy stored in the inductor is 5.000000e-8 joules." }, "display": "Stored energy: 5.0000000000000004e-8 J" }, "expected": { "value": { "energyJ": 5e-8 }, "display": "Stored energy: 5e-8 J", "source": "packages/calculator-core/tests/inductor-energy.test.ts" }, "tolerance": 1e-12, "pass": true }, { "calculatorId": "inductor-energy", "methodVersion": "inductor-energy@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "inductanceH": 0.5, "currentA": 3 } ], "units": { "inductanceH": "H", "currentA": "A" }, "display": "Inductance: 0.5 H; Current: 3 A" }, "output": { "returned": { "ok": true, "output": { "energyJ": 2.25 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 0.5 H × 3² A = 2.25 J", "value": 2.25, "unit": "J" } ], "explanation": "The energy stored in the inductor is 2.25 joules." }, "display": "Stored energy: 2.25 J" }, "expected": { "value": { "energyJ": 2.25 }, "display": "Stored energy: 2.25 J", "source": "packages/calculator-core/tests/inductor-energy.test.ts" }, "tolerance": 1e-10, "pass": true } ], "electricity-cost": [ { "calculatorId": "electricity-cost", "methodVersion": "electricity-cost@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "powerW": 1000, "hoursPerDay": 10, "ratePerKwh": 0.15 } ], "units": { "powerW": "W", "hoursPerDay": "h/day", "ratePerKwh": "currency/kWh" }, "display": "Power: 1000 W; Daily use: 10 h/day; Energy price: 0.15 currency/kWh" }, "output": { "returned": { "ok": true, "output": { "kwhPerDay": 10, "costPerDay": 1.5, "costPerMonth": 45 }, "errors": [], "warnings": [], "steps": [ { "label": "Daily energy", "expression": "(1,000 W ÷ 1000) × 10 h = 10 kWh", "value": 10, "unit": "kWh" }, { "label": "Daily cost", "expression": "10 kWh × 0.15 per kWh = 1.5", "value": 1.5 }, { "label": "30-day cost", "expression": "1.5 × 30 days = 45", "value": 45 } ], "explanation": "The device uses 10 kilowatt-hours per day, costing 1.5 per day and 45 over 30 days." }, "display": "Daily energy: 10 kWh/day; Daily cost: 1.5 currency/day; 30-day cost: 45 currency/30 days" }, "expected": { "value": { "kwhPerDay": 10, "costPerDay": 1.5, "costPerMonth": 45 }, "display": "Daily energy: 10 kWh/day; Daily cost: 1.5 currency/day; 30-day cost: 45 currency/30 days", "source": "packages/calculator-core/tests/electricity-cost.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "electricity-cost", "methodVersion": "electricity-cost@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "powerW": 100, "hoursPerDay": 24, "ratePerKwh": 0 } ], "units": { "powerW": "W", "hoursPerDay": "h/day", "ratePerKwh": "currency/kWh" }, "display": "Power: 100 W; Daily use: 24 h/day; Energy price: 0 currency/kWh" }, "output": { "returned": { "ok": true, "output": { "kwhPerDay": 2.4000000000000004, "costPerDay": 0, "costPerMonth": 0 }, "errors": [], "warnings": [], "steps": [ { "label": "Daily energy", "expression": "(100 W ÷ 1000) × 24 h = 2.4 kWh", "value": 2.4000000000000004, "unit": "kWh" }, { "label": "Daily cost", "expression": "2.4 kWh × 0 per kWh = 0", "value": 0 }, { "label": "30-day cost", "expression": "0 × 30 days = 0", "value": 0 } ], "explanation": "The device uses 2.4 kilowatt-hours per day, costing 0 per day and 0 over 30 days." }, "display": "30-day cost: 0 currency/30 days" }, "expected": { "value": { "costPerMonth": 0 }, "display": "30-day cost: 0 currency/30 days", "source": "packages/calculator-core/tests/electricity-cost.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "electricity-cost", "methodVersion": "electricity-cost@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "powerW": 500, "hoursPerDay": 4, "ratePerKwh": 0.2 } ], "units": { "powerW": "W", "hoursPerDay": "h/day", "ratePerKwh": "currency/kWh" }, "display": "Power: 500 W; Daily use: 4 h/day; Energy price: 0.2 currency/kWh" }, "output": { "returned": { "ok": true, "output": { "kwhPerDay": 2, "costPerDay": 0.4, "costPerMonth": 12 }, "errors": [], "warnings": [], "steps": [ { "label": "Daily energy", "expression": "(500 W ÷ 1000) × 4 h = 2 kWh", "value": 2, "unit": "kWh" }, { "label": "Daily cost", "expression": "2 kWh × 0.2 per kWh = 0.4", "value": 0.4 }, { "label": "30-day cost", "expression": "0.4 × 30 days = 12", "value": 12 } ], "explanation": "The device uses 2 kilowatt-hours per day, costing 0.4 per day and 12 over 30 days." }, "display": "Daily energy: 2 kWh/day; 30-day cost: 12 currency/30 days" }, "expected": { "value": { "kwhPerDay": 2, "costPerMonth": 12 }, "display": "Daily energy: 2 kWh/day; 30-day cost: 12 currency/30 days", "source": "packages/calculator-core/tests/electricity-cost.test.ts" }, "tolerance": 1e-10, "pass": true } ], "lcm": [ { "calculatorId": "lcm", "methodVersion": "lcm@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ [ 4, 6, 8 ] ], "units": { "values": "integers" }, "display": "Values: [4,6,8] integers" }, "output": { "returned": { "ok": true, "output": { "lcm": 24, "gcd": 2, "count": 3 }, "errors": [], "warnings": [], "steps": [ { "label": "LCM step 1", "expression": "lcm(4, 6) = 4 × 6 ÷ gcd(2) = 12", "value": 12 }, { "label": "LCM step 2", "expression": "lcm(12, 8) = 12 × 8 ÷ gcd(4) = 24", "value": 24 } ], "explanation": "The least common multiple of the 3 numbers is 24; their greatest common divisor is 2." }, "display": "Least common multiple: 24 integer" }, "expected": { "value": { "lcm": 24 }, "display": "Least common multiple: 24 integer", "source": "packages/calculator-core/tests/lcm.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "lcm", "methodVersion": "lcm@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ [ 7, 7 ] ], "units": { "values": "integers" }, "display": "Values: [7,7] integers" }, "output": { "returned": { "ok": true, "output": { "lcm": 7, "gcd": 7, "count": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "LCM step 1", "expression": "lcm(7, 7) = 7 × 7 ÷ gcd(7) = 7", "value": 7 } ], "explanation": "The least common multiple of the 2 numbers is 7; their greatest common divisor is 7." }, "display": "Least common multiple: 7 integer" }, "expected": { "value": { "lcm": 7 }, "display": "Least common multiple: 7 integer", "source": "packages/calculator-core/tests/lcm.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "lcm", "methodVersion": "lcm@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ [ -4, 6 ] ], "units": { "values": "integers" }, "display": "Values: [-4,6] integers" }, "output": { "returned": { "ok": true, "output": { "lcm": 12, "gcd": 2, "count": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "LCM step 1", "expression": "lcm(4, 6) = 4 × 6 ÷ gcd(2) = 12", "value": 12 } ], "explanation": "The least common multiple of the 2 numbers is 12; their greatest common divisor is 2." }, "display": "Least common multiple: 12 integer" }, "expected": { "value": { "lcm": 12 }, "display": "Least common multiple: 12 integer", "source": "packages/calculator-core/tests/lcm.test.ts" }, "tolerance": 1e-10, "pass": true } ], "gcf": [ { "calculatorId": "gcf", "methodVersion": "gcf@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ [ 12, 18 ] ], "units": { "values": "integers" }, "display": "Values: [12,18] integers" }, "output": { "returned": { "ok": true, "output": { "gcf": 6, "count": 2, "coprime": false }, "errors": [], "warnings": [], "steps": [ { "label": "GCF step 1", "expression": "gcd(12, 18) = 6", "value": 6 } ], "explanation": "The greatest common factor of the 2 numbers is 6." }, "display": "Greatest common factor: 6 integer" }, "expected": { "value": { "gcf": 6 }, "display": "Greatest common factor: 6 integer", "source": "packages/calculator-core/tests/gcf.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "gcf", "methodVersion": "gcf@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ [ 0, 5 ] ], "units": { "values": "integers" }, "display": "Values: [0,5] integers" }, "output": { "returned": { "ok": true, "output": { "gcf": 5, "count": 2, "coprime": false }, "errors": [], "warnings": [], "steps": [ { "label": "GCF step 1", "expression": "gcd(0, 5) = 5", "value": 5 } ], "explanation": "The greatest common factor of the 2 numbers is 5." }, "display": "Greatest common factor: 5 integer" }, "expected": { "value": { "gcf": 5 }, "display": "Greatest common factor: 5 integer", "source": "packages/calculator-core/tests/gcf.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "gcf", "methodVersion": "gcf@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ [ 8, 12, 16 ] ], "units": { "values": "integers" }, "display": "Values: [8,12,16] integers" }, "output": { "returned": { "ok": true, "output": { "gcf": 4, "count": 3, "coprime": false }, "errors": [], "warnings": [], "steps": [ { "label": "GCF step 1", "expression": "gcd(8, 12) = 4", "value": 4 }, { "label": "GCF step 2", "expression": "gcd(4, 16) = 4", "value": 4 } ], "explanation": "The greatest common factor of the 3 numbers is 4." }, "display": "Greatest common factor: 4 integer" }, "expected": { "value": { "gcf": 4 }, "display": "Greatest common factor: 4 integer", "source": "packages/calculator-core/tests/gcf.test.ts" }, "tolerance": 1e-10, "pass": true } ], "modulo": [ { "calculatorId": "modulo", "methodVersion": "modulo@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ 17, 5 ], "units": { "dividend": "integer", "divisor": "integer" }, "display": "Dividend: 17 integer; Divisor: 5 integer" }, "output": { "returned": { "ok": true, "output": { "result": 2, "remainder": 2, "quotient": 3, "dividend": 17, "divisor": 5, "conventionsDiffer": false }, "errors": [], "warnings": [], "steps": [ { "label": "Division algorithm", "expression": "17 = 3 × 5 + 2", "value": 2 }, { "label": "Euclidean modulo", "expression": "17 mod 5 = 2", "value": 2 } ], "explanation": "17 mod 5 = 2 (Euclidean, 0 ≤ result < 5)." }, "display": "Result: 2 Euclidean remainder; Remainder: 2 truncated remainder" }, "expected": { "value": { "result": 2, "remainder": 2 }, "display": "Result: 2 Euclidean remainder; Remainder: 2 truncated remainder", "source": "packages/calculator-core/tests/modulo.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "modulo", "methodVersion": "modulo@1.0.0", "runAt": "2026-10-29T06:04:06.919Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ 0, 5 ], "units": { "dividend": "integer", "divisor": "integer" }, "display": "Dividend: 0 integer; Divisor: 5 integer" }, "output": { "returned": { "ok": true, "output": { "result": 0, "remainder": 0, "quotient": 0, "dividend": 0, "divisor": 5, "conventionsDiffer": false }, "errors": [], "warnings": [], "steps": [ { "label": "Division algorithm", "expression": "0 = 0 × 5 + 0", "value": 0 }, { "label": "Euclidean modulo", "expression": "0 mod 5 = 0", "value": 0 } ], "explanation": "0 mod 5 = 0 (Euclidean, 0 ≤ result < 5)." }, "display": "Result: 0 Euclidean remainder; Remainder: 0 truncated remainder" }, "expected": { "value": { "result": 0, "remainder": 0 }, "display": "Result: 0 Euclidean remainder; Remainder: 0 truncated remainder", "source": "packages/calculator-core/tests/modulo.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "modulo", "methodVersion": "modulo@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ 7, -3 ], "units": { "dividend": "integer", "divisor": "integer" }, "display": "Dividend: 7 integer; Divisor: -3 integer" }, "output": { "returned": { "ok": true, "output": { "result": 1, "remainder": 1, "quotient": -2, "dividend": 7, "divisor": -3, "conventionsDiffer": false }, "errors": [], "warnings": [], "steps": [ { "label": "Division algorithm", "expression": "7 = -2 × -3 + 1", "value": 1 }, { "label": "Euclidean modulo", "expression": "7 mod -3 = 1", "value": 1 } ], "explanation": "7 mod -3 = 1 (Euclidean, 0 ≤ result < 3)." }, "display": "Result: 1 Euclidean remainder; Remainder: 1 truncated remainder" }, "expected": { "value": { "result": 1, "remainder": 1 }, "display": "Result: 1 Euclidean remainder; Remainder: 1 truncated remainder", "source": "packages/calculator-core/tests/modulo.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "modulo", "methodVersion": "modulo@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "signed", "inputs": { "arguments": [ -7, 3 ], "units": { "dividend": "integer", "divisor": "integer" }, "display": "Dividend: -7 integer; Divisor: 3 integer" }, "output": { "returned": { "ok": true, "output": { "result": 2, "remainder": -1, "quotient": -3, "dividend": -7, "divisor": 3, "conventionsDiffer": true }, "errors": [], "warnings": [ { "code": "modulo_sign_convention", "message": "With a negative dividend the two common conventions differ: the Euclidean modulo is 2 (kept in 0…2), while the truncated remainder used by the % operator in C, Java and JavaScript is -1. Both are shown so you can match whichever your context uses.", "severity": "info" } ], "steps": [ { "label": "Division algorithm", "expression": "-7 = -3 × 3 + 2", "value": 2 }, { "label": "Euclidean modulo", "expression": "-7 mod 3 = 2", "value": 2 } ], "explanation": "-7 mod 3 = 2 (Euclidean, 0 ≤ result < 3)." }, "display": "Result: 2 Euclidean remainder; Remainder: -1 truncated remainder" }, "expected": { "value": { "result": 2, "remainder": -1 }, "display": "Result: 2 Euclidean remainder; Remainder: -1 truncated remainder", "source": "packages/calculator-core/tests/modulo.test.ts" }, "tolerance": 1e-10, "pass": true } ], "prime-factorization": [ { "calculatorId": "prime-factorization", "methodVersion": "prime-factorization@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ 360 ], "units": { "n": "integer" }, "display": "Integer: 360 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ { "prime": 2, "exponent": 3 }, { "prime": 3, "exponent": 2 }, { "prime": 5, "exponent": 1 } ], "factorization": "2^3 × 3^2 × 5", "primeCount": 3, "isPrime": false }, "errors": [], "warnings": [], "steps": [ { "label": "Factor out 2", "expression": "2^3 = 8", "value": 8 }, { "label": "Factor out 3", "expression": "3^2 = 9", "value": 9 }, { "label": "Remaining prime", "expression": "5", "value": 5 } ], "explanation": "360 = 2^3 × 3^2 × 5." }, "display": "Prime factorization: 2^3 × 3^2 × 5 prime powers" }, "expected": { "value": { "factorization": "2^3 × 3^2 × 5" }, "display": "Prime factorization: 2^3 × 3^2 × 5 prime powers", "source": "packages/calculator-core/tests/prime-factorization.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "prime-factorization", "methodVersion": "prime-factorization@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ 2 ], "units": { "n": "integer" }, "display": "Integer: 2 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ { "prime": 2, "exponent": 1 } ], "factorization": "2", "primeCount": 1, "isPrime": true }, "errors": [], "warnings": [ { "code": "prime_input", "message": "2 is a prime number — its only factorization is itself.", "severity": "info" } ], "steps": [ { "label": "Remaining prime", "expression": "2", "value": 2 } ], "explanation": "2 = 2." }, "display": "Prime factorization: 2 prime powers" }, "expected": { "value": { "factorization": "2" }, "display": "Prime factorization: 2 prime powers", "source": "packages/calculator-core/tests/prime-factorization.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "prime-factorization", "methodVersion": "prime-factorization@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ 100 ], "units": { "n": "integer" }, "display": "Integer: 100 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ { "prime": 2, "exponent": 2 }, { "prime": 5, "exponent": 2 } ], "factorization": "2^2 × 5^2", "primeCount": 2, "isPrime": false }, "errors": [], "warnings": [], "steps": [ { "label": "Factor out 2", "expression": "2^2 = 4", "value": 4 }, { "label": "Factor out 5", "expression": "5^2 = 25", "value": 25 } ], "explanation": "100 = 2^2 × 5^2." }, "display": "Prime factorization: 2^2 × 5^2 prime powers" }, "expected": { "value": { "factorization": "2^2 × 5^2" }, "display": "Prime factorization: 2^2 × 5^2 prime powers", "source": "packages/calculator-core/tests/prime-factorization.test.ts" }, "tolerance": 1e-10, "pass": true } ], "binary": [ { "calculatorId": "binary", "methodVersion": "binary@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ "1010", "110" ], "units": { "operandA": "binary integer", "operandB": "binary integer" }, "display": "First operand: 1010 binary integer; Second operand: 110 binary integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "10", "decimalB": "6", "sumBinary": "10000", "sumDecimal": "16", "differenceBinary": "100", "differenceDecimal": "4", "productBinary": "111100", "productDecimal": "60", "quotientBinary": "1", "quotientDecimal": "1", "remainderBinary": "100", "remainderDecimal": "4" }, "errors": [], "warnings": [ { "code": "integer_division", "message": "Binary division here is integer division: 1010 ÷ 110 = 1 remainder 100.", "severity": "info" } ], "steps": [ { "label": "Operand A to decimal", "expression": "1010₂ = 10₁₀" }, { "label": "Operand B to decimal", "expression": "110₂ = 6₁₀" }, { "label": "Add", "expression": "10 + 6 = 16 = 10000₂" }, { "label": "Subtract", "expression": "10 − 6 = 4 = 100₂" }, { "label": "Multiply", "expression": "10 × 6 = 60 = 111100₂" }, { "label": "Divide (integer)", "expression": "10 ÷ 6 = 1 remainder 4 = 1₂ r 100₂" } ], "explanation": "1010₂ = 10₁₀ and 110₂ = 6₁₀. Their sum is 10000₂ (16₁₀)." }, "display": "Binary sum: 10000" }, "expected": { "value": { "sumBinary": "10000" }, "display": "Binary sum: 10000", "source": "packages/calculator-core/tests/binary.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "binary", "methodVersion": "binary@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ "100", "0" ], "units": { "operandA": "binary integer", "operandB": "binary integer" }, "display": "First operand: 100 binary integer; Second operand: 0 binary integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "4", "decimalB": "0", "sumBinary": "100", "sumDecimal": "4", "differenceBinary": "100", "differenceDecimal": "4", "productBinary": "0", "productDecimal": "0", "quotientBinary": "", "quotientDecimal": "", "remainderBinary": "", "remainderDecimal": "" }, "errors": [], "warnings": [ { "code": "divide_by_zero", "message": "Division by zero is undefined, so the quotient is not shown.", "severity": "warning" } ], "steps": [ { "label": "Operand A to decimal", "expression": "100₂ = 4₁₀" }, { "label": "Operand B to decimal", "expression": "0₂ = 0₁₀" }, { "label": "Add", "expression": "4 + 0 = 4 = 100₂" }, { "label": "Subtract", "expression": "4 − 0 = 4 = 100₂" }, { "label": "Multiply", "expression": "4 × 0 = 0 = 0₂" } ], "explanation": "100₂ = 4₁₀ and 0₂ = 0₁₀. Their sum is 100₂ (4₁₀)." }, "display": "Binary sum: 100; Binary quotient: " }, "expected": { "value": { "sumBinary": "100", "quotientBinary": "" }, "display": "Binary sum: 100; Binary quotient: ", "source": "packages/calculator-core/tests/binary.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "binary", "methodVersion": "binary@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ "1111", "11" ], "units": { "operandA": "binary integer", "operandB": "binary integer" }, "display": "First operand: 1111 binary integer; Second operand: 11 binary integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "15", "decimalB": "3", "sumBinary": "10010", "sumDecimal": "18", "differenceBinary": "1100", "differenceDecimal": "12", "productBinary": "101101", "productDecimal": "45", "quotientBinary": "101", "quotientDecimal": "5", "remainderBinary": "0", "remainderDecimal": "0" }, "errors": [], "warnings": [], "steps": [ { "label": "Operand A to decimal", "expression": "1111₂ = 15₁₀" }, { "label": "Operand B to decimal", "expression": "11₂ = 3₁₀" }, { "label": "Add", "expression": "15 + 3 = 18 = 10010₂" }, { "label": "Subtract", "expression": "15 − 3 = 12 = 1100₂" }, { "label": "Multiply", "expression": "15 × 3 = 45 = 101101₂" }, { "label": "Divide (integer)", "expression": "15 ÷ 3 = 5 remainder 0 = 101₂ r 0₂" } ], "explanation": "1111₂ = 15₁₀ and 11₂ = 3₁₀. Their sum is 10010₂ (18₁₀)." }, "display": "Binary sum: 10010" }, "expected": { "value": { "sumBinary": "10010" }, "display": "Binary sum: 10010", "source": "packages/calculator-core/tests/binary.test.ts" }, "tolerance": 1e-10, "pass": true } ], "hex": [ { "calculatorId": "hex", "methodVersion": "hex@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ "A5", "1F" ], "units": { "operandA": "hex integer", "operandB": "hex integer" }, "display": "First operand: A5 hex integer; Second operand: 1F hex integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "165", "decimalB": "31", "sumHex": "C4", "sumDecimal": "196", "differenceHex": "86", "differenceDecimal": "134", "productHex": "13FB", "productDecimal": "5115", "quotientHex": "5", "quotientDecimal": "5", "remainderHex": "A", "remainderDecimal": "10" }, "errors": [], "warnings": [ { "code": "integer_division", "message": "Hex division here is integer division: A5 ÷ 1F = 5 remainder A.", "severity": "info" } ], "steps": [ { "label": "Operand A to decimal", "expression": "A5₁₆ = 165₁₀" }, { "label": "Operand B to decimal", "expression": "1F₁₆ = 31₁₀" }, { "label": "Add", "expression": "165 + 31 = 196 = C4₁₆" }, { "label": "Subtract", "expression": "165 − 31 = 134 = 86₁₆" }, { "label": "Multiply", "expression": "165 × 31 = 5115 = 13FB₁₆" }, { "label": "Divide (integer)", "expression": "165 ÷ 31 = 5 remainder 10 = 5₁₆ r A₁₆" } ], "explanation": "A5₁₆ = 165₁₀ and 1F₁₆ = 31₁₀. Their sum is C4₁₆ (196₁₀)." }, "display": "Hexadecimal sum: C4" }, "expected": { "value": { "sumHex": "C4" }, "display": "Hexadecimal sum: C4", "source": "packages/calculator-core/tests/hex.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "hex", "methodVersion": "hex@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ "FF", "1" ], "units": { "operandA": "hex integer", "operandB": "hex integer" }, "display": "First operand: FF hex integer; Second operand: 1 hex integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "255", "decimalB": "1", "sumHex": "100", "sumDecimal": "256", "differenceHex": "FE", "differenceDecimal": "254", "productHex": "FF", "productDecimal": "255", "quotientHex": "FF", "quotientDecimal": "255", "remainderHex": "0", "remainderDecimal": "0" }, "errors": [], "warnings": [], "steps": [ { "label": "Operand A to decimal", "expression": "FF₁₆ = 255₁₀" }, { "label": "Operand B to decimal", "expression": "1₁₆ = 1₁₀" }, { "label": "Add", "expression": "255 + 1 = 256 = 100₁₆" }, { "label": "Subtract", "expression": "255 − 1 = 254 = FE₁₆" }, { "label": "Multiply", "expression": "255 × 1 = 255 = FF₁₆" }, { "label": "Divide (integer)", "expression": "255 ÷ 1 = 255 remainder 0 = FF₁₆ r 0₁₆" } ], "explanation": "FF₁₆ = 255₁₀ and 1₁₆ = 1₁₀. Their sum is 100₁₆ (256₁₀)." }, "display": "Hexadecimal sum: 100" }, "expected": { "value": { "sumHex": "100" }, "display": "Hexadecimal sum: 100", "source": "packages/calculator-core/tests/hex.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "hex", "methodVersion": "hex@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ "0x0ff", "a" ], "units": { "operandA": "hex integer", "operandB": "hex integer" }, "display": "First operand: 0x0ff hex integer; Second operand: a hex integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "255", "decimalB": "10", "sumHex": "109", "sumDecimal": "265", "differenceHex": "F5", "differenceDecimal": "245", "productHex": "9F6", "productDecimal": "2550", "quotientHex": "19", "quotientDecimal": "25", "remainderHex": "5", "remainderDecimal": "5" }, "errors": [], "warnings": [ { "code": "integer_division", "message": "Hex division here is integer division: 0FF ÷ A = 19 remainder 5.", "severity": "info" } ], "steps": [ { "label": "Operand A to decimal", "expression": "0FF₁₆ = 255₁₀" }, { "label": "Operand B to decimal", "expression": "A₁₆ = 10₁₀" }, { "label": "Add", "expression": "255 + 10 = 265 = 109₁₆" }, { "label": "Subtract", "expression": "255 − 10 = 245 = F5₁₆" }, { "label": "Multiply", "expression": "255 × 10 = 2550 = 9F6₁₆" }, { "label": "Divide (integer)", "expression": "255 ÷ 10 = 25 remainder 5 = 19₁₆ r 5₁₆" } ], "explanation": "0FF₁₆ = 255₁₀ and A₁₆ = 10₁₀. Their sum is 109₁₆ (265₁₀)." }, "display": "Hexadecimal sum: 109" }, "expected": { "value": { "sumHex": "109" }, "display": "Hexadecimal sum: 109", "source": "packages/calculator-core/tests/hex.test.ts" }, "tolerance": 1e-10, "pass": true } ], "octal": [ { "calculatorId": "octal", "methodVersion": "octal@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ "245", "37" ], "units": { "operandA": "octal integer", "operandB": "octal integer" }, "display": "First operand: 245 octal integer; Second operand: 37 octal integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "165", "decimalB": "31", "sumOctal": "304", "sumDecimal": "196", "differenceOctal": "206", "differenceDecimal": "134", "productOctal": "11773", "productDecimal": "5115", "quotientOctal": "5", "quotientDecimal": "5", "remainderOctal": "12", "remainderDecimal": "10" }, "errors": [], "warnings": [ { "code": "integer_division", "message": "Octal division here is integer division: 245 ÷ 37 = 5 remainder 12.", "severity": "info" } ], "steps": [ { "label": "Operand A to decimal", "expression": "245₈ = 165₁₀" }, { "label": "Operand B to decimal", "expression": "37₈ = 31₁₀" }, { "label": "Add", "expression": "165 + 31 = 196 = 304₈" }, { "label": "Subtract", "expression": "165 − 31 = 134 = 206₈" }, { "label": "Multiply", "expression": "165 × 31 = 5115 = 11773₈" }, { "label": "Divide (integer)", "expression": "165 ÷ 31 = 5 remainder 10 = 5₈ r 12₈" } ], "explanation": "245₈ = 165₁₀ and 37₈ = 31₁₀. Their sum is 304₈ (196₁₀)." }, "display": "Octal sum: 304" }, "expected": { "value": { "sumOctal": "304" }, "display": "Octal sum: 304", "source": "packages/calculator-core/tests/octal.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "octal", "methodVersion": "octal@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ "77", "1" ], "units": { "operandA": "octal integer", "operandB": "octal integer" }, "display": "First operand: 77 octal integer; Second operand: 1 octal integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "63", "decimalB": "1", "sumOctal": "100", "sumDecimal": "64", "differenceOctal": "76", "differenceDecimal": "62", "productOctal": "77", "productDecimal": "63", "quotientOctal": "77", "quotientDecimal": "63", "remainderOctal": "0", "remainderDecimal": "0" }, "errors": [], "warnings": [], "steps": [ { "label": "Operand A to decimal", "expression": "77₈ = 63₁₀" }, { "label": "Operand B to decimal", "expression": "1₈ = 1₁₀" }, { "label": "Add", "expression": "63 + 1 = 64 = 100₈" }, { "label": "Subtract", "expression": "63 − 1 = 62 = 76₈" }, { "label": "Multiply", "expression": "63 × 1 = 63 = 77₈" }, { "label": "Divide (integer)", "expression": "63 ÷ 1 = 63 remainder 0 = 77₈ r 0₈" } ], "explanation": "77₈ = 63₁₀ and 1₈ = 1₁₀. Their sum is 100₈ (64₁₀)." }, "display": "Octal sum: 100" }, "expected": { "value": { "sumOctal": "100" }, "display": "Octal sum: 100", "source": "packages/calculator-core/tests/octal.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "octal", "methodVersion": "octal@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ "0o017", "5" ], "units": { "operandA": "octal integer", "operandB": "octal integer" }, "display": "First operand: 0o017 octal integer; Second operand: 5 octal integer" }, "output": { "returned": { "ok": true, "output": { "decimalA": "15", "decimalB": "5", "sumOctal": "24", "sumDecimal": "20", "differenceOctal": "12", "differenceDecimal": "10", "productOctal": "113", "productDecimal": "75", "quotientOctal": "3", "quotientDecimal": "3", "remainderOctal": "0", "remainderDecimal": "0" }, "errors": [], "warnings": [], "steps": [ { "label": "Operand A to decimal", "expression": "017₈ = 15₁₀" }, { "label": "Operand B to decimal", "expression": "5₈ = 5₁₀" }, { "label": "Add", "expression": "15 + 5 = 20 = 24₈" }, { "label": "Subtract", "expression": "15 − 5 = 10 = 12₈" }, { "label": "Multiply", "expression": "15 × 5 = 75 = 113₈" }, { "label": "Divide (integer)", "expression": "15 ÷ 5 = 3 remainder 0 = 3₈ r 0₈" } ], "explanation": "017₈ = 15₁₀ and 5₈ = 5₁₀. Their sum is 24₈ (20₁₀)." }, "display": "Octal sum: 24" }, "expected": { "value": { "sumOctal": "24" }, "display": "Octal sum: 24", "source": "packages/calculator-core/tests/octal.test.ts" }, "tolerance": 1e-10, "pass": true } ], "prime-checker": [ { "calculatorId": "prime-checker", "methodVersion": "prime-checker@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ 97 ], "units": { "n": "integer" }, "display": "Integer: 97 integer" }, "output": { "returned": { "ok": true, "output": { "isPrime": true, "smallestFactor": null, "cofactor": null }, "errors": [], "warnings": [], "steps": [ { "label": "Result", "expression": "no divisor found from 2 to √97", "value": 97 } ], "explanation": "97 is prime — its only divisors are 1 and 97." }, "display": "Prime: true boolean" }, "expected": { "value": { "isPrime": true }, "display": "Prime: true boolean", "source": "packages/calculator-core/tests/prime-checker.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "prime-checker", "methodVersion": "prime-checker@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ 1 ], "units": { "n": "integer" }, "display": "Integer: 1 integer" }, "output": { "returned": { "ok": true, "output": { "isPrime": false, "smallestFactor": null, "cofactor": null }, "errors": [], "warnings": [], "steps": [ { "label": "Range", "expression": "1 < 2", "value": 1 } ], "explanation": "1 is not prime — a prime must be an integer greater than 1." }, "display": "Prime: false boolean" }, "expected": { "value": { "isPrime": false }, "display": "Prime: false boolean", "source": "packages/calculator-core/tests/prime-checker.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "prime-checker", "methodVersion": "prime-checker@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ 91 ], "units": { "n": "integer" }, "display": "Integer: 91 integer" }, "output": { "returned": { "ok": true, "output": { "isPrime": false, "smallestFactor": 7, "cofactor": 13 }, "errors": [], "warnings": [], "steps": [ { "label": "Smallest factor", "expression": "91 = 7 × 13", "value": 7 } ], "explanation": "91 is not prime — it is divisible by 7 (91 = 7 × 13)." }, "display": "Prime: false boolean; Smallest factor: 7" }, "expected": { "value": { "isPrime": false, "smallestFactor": 7 }, "display": "Prime: false boolean; Smallest factor: 7", "source": "packages/calculator-core/tests/prime-checker.test.ts" }, "tolerance": 1e-10, "pass": true } ], "factors-list": [ { "calculatorId": "factors-list", "methodVersion": "factors-list@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ 12 ], "units": { "n": "integer" }, "display": "Integer: 12 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ 1, 2, 3, 4, 6, 12 ], "count": 6, "sum": 28, "properSum": 16, "pairs": [ { "a": 1, "b": 12 }, { "a": 2, "b": 6 }, { "a": 3, "b": 4 } ], "isPrime": false, "isPerfect": false }, "errors": [], "warnings": [], "steps": [ { "label": "Factor pair", "expression": "1 × 12 = 12", "value": 1 }, { "label": "Factor pair", "expression": "2 × 6 = 12", "value": 2 }, { "label": "Factor pair", "expression": "3 × 4 = 12", "value": 3 } ], "explanation": "12 has 6 factors: 1, 2, 3, 4, 6, 12." }, "display": "Factors: [1,2,3,4,6,12] positive integers; Count: 6 count" }, "expected": { "value": { "factors": [ 1, 2, 3, 4, 6, 12 ], "count": 6 }, "display": "Factors: [1,2,3,4,6,12] positive integers; Count: 6 count", "source": "packages/calculator-core/tests/factors-list.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "factors-list", "methodVersion": "factors-list@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ 1 ], "units": { "n": "integer" }, "display": "Integer: 1 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ 1 ], "count": 1, "sum": 1, "properSum": 0, "pairs": [ { "a": 1, "b": 1 } ], "isPrime": false, "isPerfect": false }, "errors": [], "warnings": [ { "code": "unit_input", "message": "1 has a single factor: itself. It is neither prime nor composite.", "severity": "info" } ], "steps": [ { "label": "1 squared", "expression": "1 × 1 = 1", "value": 1 } ], "explanation": "1 has 1 factor: 1." }, "display": "Factors: [1] positive integers; Count: 1 count" }, "expected": { "value": { "factors": [ 1 ], "count": 1 }, "display": "Factors: [1] positive integers; Count: 1 count", "source": "packages/calculator-core/tests/factors-list.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "factors-list", "methodVersion": "factors-list@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ 36 ], "units": { "n": "integer" }, "display": "Integer: 36 integer" }, "output": { "returned": { "ok": true, "output": { "factors": [ 1, 2, 3, 4, 6, 9, 12, 18, 36 ], "count": 9, "sum": 91, "properSum": 55, "pairs": [ { "a": 1, "b": 36 }, { "a": 2, "b": 18 }, { "a": 3, "b": 12 }, { "a": 4, "b": 9 }, { "a": 6, "b": 6 } ], "isPrime": false, "isPerfect": false }, "errors": [], "warnings": [], "steps": [ { "label": "Factor pair", "expression": "1 × 36 = 36", "value": 1 }, { "label": "Factor pair", "expression": "2 × 18 = 36", "value": 2 }, { "label": "Factor pair", "expression": "3 × 12 = 36", "value": 3 }, { "label": "Factor pair", "expression": "4 × 9 = 36", "value": 4 }, { "label": "6 squared", "expression": "6 × 6 = 36", "value": 6 } ], "explanation": "36 has 9 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36." }, "display": "Factors: [1,2,3,4,6,9,12,18,36] positive integers; Count: 9 count" }, "expected": { "value": { "factors": [ 1, 2, 3, 4, 6, 9, 12, 18, 36 ], "count": 9 }, "display": "Factors: [1,2,3,4,6,9,12,18,36] positive integers; Count: 9 count", "source": "packages/calculator-core/tests/factors-list.test.ts" }, "tolerance": 1e-10, "pass": true } ], "divisors": [ { "calculatorId": "divisors", "methodVersion": "divisors@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ 12 ], "units": { "n": "integer" }, "display": "Integer: 12 integer" }, "output": { "returned": { "ok": true, "output": { "divisors": [ 1, 2, 3, 4, 6, 12 ], "count": 6, "sum": 28, "aliquotSum": 16, "classification": "abundant", "isPrime": false }, "errors": [], "warnings": [], "steps": [ { "label": "Number of divisors d(n)", "expression": "6", "value": 6 }, { "label": "Sum of divisors σ(n)", "expression": "1 + 2 + 3 + 4 + 6 + 12 = 28", "value": 28 }, { "label": "Aliquot sum (σ(n) − n)", "expression": "28 − 12 = 16", "value": 16 } ], "explanation": "12 has 6 divisors summing to 28; it is abundant." }, "display": "Count: 6 count; Sum: 28 integer; Classification: abundant classification" }, "expected": { "value": { "count": 6, "sum": 28, "classification": "abundant" }, "display": "Count: 6 count; Sum: 28 integer; Classification: abundant classification", "source": "packages/calculator-core/tests/divisors.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "divisors", "methodVersion": "divisors@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ 1 ], "units": { "n": "integer" }, "display": "Integer: 1 integer" }, "output": { "returned": { "ok": true, "output": { "divisors": [ 1 ], "count": 1, "sum": 1, "aliquotSum": 0, "classification": "deficient", "isPrime": false }, "errors": [], "warnings": [], "steps": [ { "label": "Number of divisors d(n)", "expression": "1", "value": 1 }, { "label": "Sum of divisors σ(n)", "expression": "1 = 1", "value": 1 }, { "label": "Aliquot sum (σ(n) − n)", "expression": "1 − 1 = 0", "value": 0 } ], "explanation": "1 has 1 divisors summing to 1; it is deficient." }, "display": "Count: 1 count; Sum: 1 integer; Classification: deficient classification" }, "expected": { "value": { "count": 1, "sum": 1, "classification": "deficient" }, "display": "Count: 1 count; Sum: 1 integer; Classification: deficient classification", "source": "packages/calculator-core/tests/divisors.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "divisors", "methodVersion": "divisors@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ 28 ], "units": { "n": "integer" }, "display": "Integer: 28 integer" }, "output": { "returned": { "ok": true, "output": { "divisors": [ 1, 2, 4, 7, 14, 28 ], "count": 6, "sum": 56, "aliquotSum": 28, "classification": "perfect", "isPrime": false }, "errors": [], "warnings": [ { "code": "perfect_number", "message": "28 is a perfect number — it equals the sum of its proper divisors (1 + 2 + 4 + 7 + 14).", "severity": "info" } ], "steps": [ { "label": "Number of divisors d(n)", "expression": "6", "value": 6 }, { "label": "Sum of divisors σ(n)", "expression": "1 + 2 + 4 + 7 + 14 + 28 = 56", "value": 56 }, { "label": "Aliquot sum (σ(n) − n)", "expression": "56 − 28 = 28", "value": 28 } ], "explanation": "28 has 6 divisors summing to 56; it is perfect." }, "display": "Count: 6 count; Sum: 56 integer; Classification: perfect classification" }, "expected": { "value": { "count": 6, "sum": 56, "classification": "perfect" }, "display": "Count: 6 count; Sum: 56 integer; Classification: perfect classification", "source": "packages/calculator-core/tests/divisors.test.ts" }, "tolerance": 1e-10, "pass": true } ], "base-converter": [ { "calculatorId": "base-converter", "methodVersion": "base-converter@1.0.0", "runAt": "2026-10-29T06:04:06.920Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ "255", 10, 16 ], "units": { "value": "integer in fromBase", "fromBase": "radix", "toBase": "radix" }, "display": "Value: 255 integer in fromBase; Source base: 10 radix; Target base: 16 radix" }, "output": { "returned": { "ok": true, "output": { "normalizedInput": "255", "fromBase": 10, "toBase": 16, "converted": "FF", "decimal": "255", "binary": "11111111", "octal": "377", "hex": "FF", "digitCount": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "Read 255 as base-10 positional notation", "expression": "(2×10^2 + 5×10^1 + 5×10^0) = 255₁₀" }, { "label": "Write 255₁₀ in base 16", "expression": "255₁₀ = FF(base 16)" } ], "explanation": "255 in base 10 equals 255 in base 10, which is FF in base 16 (a 2nd-place value)." }, "display": "Converted value: FF target-base integer" }, "expected": { "value": { "converted": "FF" }, "display": "Converted value: FF target-base integer", "source": "packages/calculator-core/src/calculators/base-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "base-converter", "methodVersion": "base-converter@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ "0", 10, 2 ], "units": { "value": "integer in fromBase", "fromBase": "radix", "toBase": "radix" }, "display": "Value: 0 integer in fromBase; Source base: 10 radix; Target base: 2 radix" }, "output": { "returned": { "ok": true, "output": { "normalizedInput": "0", "fromBase": 10, "toBase": 2, "converted": "0", "decimal": "0", "binary": "0", "octal": "0", "hex": "0", "digitCount": 1 }, "errors": [], "warnings": [], "steps": [ { "label": "Read 0 as base-10 positional notation", "expression": "(0×10^0) = 0₁₀" }, { "label": "Write 0₁₀ in base 2", "expression": "0₁₀ = 0(base 2)" } ], "explanation": "0 in base 10 equals 0 in base 10, which is 0 in base 2 (a 1st-place value)." }, "display": "Converted value: 0 target-base integer" }, "expected": { "value": { "converted": "0" }, "display": "Converted value: 0 target-base integer", "source": "packages/calculator-core/src/calculators/base-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "base-converter", "methodVersion": "base-converter@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ "1010", 2, 10 ], "units": { "value": "integer in fromBase", "fromBase": "radix", "toBase": "radix" }, "display": "Value: 1010 integer in fromBase; Source base: 2 radix; Target base: 10 radix" }, "output": { "returned": { "ok": true, "output": { "normalizedInput": "1010", "fromBase": 2, "toBase": 10, "converted": "10", "decimal": "10", "binary": "1010", "octal": "12", "hex": "A", "digitCount": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "Read 1010 as base-2 positional notation", "expression": "(1×2^3 + 0×2^2 + 1×2^1 + 0×2^0) = 10₁₀" }, { "label": "Write 10₁₀ in base 10", "expression": "10₁₀ = 10(base 10)" } ], "explanation": "1010 in base 2 equals 10 in base 10, which is 10 in base 10 (a 2nd-place value)." }, "display": "Converted value: 10 target-base integer" }, "expected": { "value": { "converted": "10" }, "display": "Converted value: 10 target-base integer", "source": "packages/calculator-core/src/calculators/base-converter.test.ts" }, "tolerance": 1e-10, "pass": true } ], "roman-numeral": [ { "calculatorId": "roman-numeral", "methodVersion": "roman-numeral@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ "1994" ], "units": { "value": "decimal integer or Roman numeral" }, "display": "Value: 1994 decimal integer or Roman numeral" }, "output": { "returned": { "ok": true, "output": { "mode": "to-roman", "normalizedInput": "1994", "roman": "MCMXCIV", "number": 1994, "parts": [ { "symbol": "M", "value": 1000 }, { "symbol": "CM", "value": 900 }, { "symbol": "XC", "value": 90 }, { "symbol": "IV", "value": 4 } ] }, "errors": [], "warnings": [], "steps": [ { "label": "Break 1994 into standard Roman pieces, largest first", "expression": "1994 = M=1000 + CM=900 + XC=90 + IV=4" }, { "label": "Join the symbols in order", "expression": "1994 = MCMXCIV" } ], "explanation": "1994 is written MCMXCIV in standard Roman numerals (M=1000 + CM=900 + XC=90 + IV=4)." }, "display": "Roman numeral: MCMXCIV Roman numeral" }, "expected": { "value": { "roman": "MCMXCIV" }, "display": "Roman numeral: MCMXCIV Roman numeral", "source": "packages/calculator-core/tests/roman-numeral.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "roman-numeral", "methodVersion": "roman-numeral@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ "3999" ], "units": { "value": "decimal integer or Roman numeral" }, "display": "Value: 3999 decimal integer or Roman numeral" }, "output": { "returned": { "ok": true, "output": { "mode": "to-roman", "normalizedInput": "3999", "roman": "MMMCMXCIX", "number": 3999, "parts": [ { "symbol": "M", "value": 1000 }, { "symbol": "M", "value": 1000 }, { "symbol": "M", "value": 1000 }, { "symbol": "CM", "value": 900 }, { "symbol": "XC", "value": 90 }, { "symbol": "IX", "value": 9 } ] }, "errors": [], "warnings": [], "steps": [ { "label": "Break 3999 into standard Roman pieces, largest first", "expression": "3999 = M=1000 + M=1000 + M=1000 + CM=900 + XC=90 + IX=9" }, { "label": "Join the symbols in order", "expression": "3999 = MMMCMXCIX" } ], "explanation": "3999 is written MMMCMXCIX in standard Roman numerals (M=1000 + M=1000 + M=1000 + CM=900 + XC=90 + IX=9)." }, "display": "Roman numeral: MMMCMXCIX Roman numeral" }, "expected": { "value": { "roman": "MMMCMXCIX" }, "display": "Roman numeral: MMMCMXCIX Roman numeral", "source": "packages/calculator-core/tests/roman-numeral.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "roman-numeral", "methodVersion": "roman-numeral@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ "XIV" ], "units": { "value": "decimal integer or Roman numeral" }, "display": "Value: XIV decimal integer or Roman numeral" }, "output": { "returned": { "ok": true, "output": { "mode": "to-number", "normalizedInput": "XIV", "roman": "XIV", "number": 14, "parts": [ { "symbol": "X", "value": 10 }, { "symbol": "IV", "value": 4 } ] }, "errors": [], "warnings": [], "steps": [ { "label": "Add each symbol in XIV, subtracting a smaller symbol before a larger one", "expression": "XIV = X=10 + IV=4" }, { "label": "Sum the pieces", "expression": "XIV = 14" } ], "explanation": "XIV is 14 (X=10 + IV=4)." }, "display": "Number: 14 integer" }, "expected": { "value": { "number": 14 }, "display": "Number: 14 integer", "source": "packages/calculator-core/tests/roman-numeral.test.ts" }, "tolerance": 1e-10, "pass": true } ], "scientific-notation": [ { "calculatorId": "scientific-notation", "methodVersion": "scientific-notation@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": "123456" } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits" }, "display": "Value: 123456 dimensionless exact decimal" }, "output": { "returned": { "ok": true, "output": { "scientific": "1.23456 × 10^5", "eNotation": "1.23456E5", "engineering": "123.456 × 10^3", "decimal": "123456", "coefficient": "1.23456", "exponent": 5, "engineeringCoefficient": "123.456", "engineeringExponent": 3, "significantFigures": null, "rounded": false }, "errors": [], "warnings": [], "steps": [ { "label": "Normalize the coefficient and apply optional significant-figure rounding", "expression": "123456 = 1.23456 × 10^5", "value": 5 }, { "label": "Write the same power of ten with E", "expression": "1.23456 × 10^5 = 1.23456E5", "value": 5 }, { "label": "Choose an engineering exponent divisible by three", "expression": "1.23456 × 10^5 = 123.456 × 10^3", "value": 3 }, { "label": "Shift the decimal point without floating-point multiplication", "expression": "1.23456 × 10^5 = 123456" } ], "explanation": "The coefficient has magnitude at least 1 and less than 10. The conversion preserves the exact input value. The engineering exponent is a multiple of three." }, "display": "Scientific notation: 1.23456 × 10^5 scientific notation" }, "expected": { "value": { "scientific": "1.23456 × 10^5" }, "display": "Scientific notation: 1.23456 × 10^5 scientific notation", "source": "packages/calculator-core/tests/scientific-notation.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "scientific-notation", "methodVersion": "scientific-notation@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": "0" } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits" }, "display": "Value: 0 dimensionless exact decimal" }, "output": { "returned": { "ok": true, "output": { "scientific": "0 × 10^0", "eNotation": "0E0", "engineering": "0 × 10^0", "decimal": "0", "coefficient": "0", "exponent": 0, "engineeringCoefficient": "0", "engineeringExponent": 0, "significantFigures": null, "rounded": false }, "errors": [], "warnings": [ { "code": "zero_convention", "severity": "info", "message": "Zero has no normalized nonzero coefficient. It is shown as 0 × 10^0 (0E0); negative zero and requested significant figures do not change this convention." } ], "steps": [ { "label": "Use the zero convention", "expression": "0 = 0 × 10^0", "value": 0 }, { "label": "Write the same power of ten with E", "expression": "0 × 10^0 = 0E0", "value": 0 }, { "label": "Choose an engineering exponent divisible by three", "expression": "0 × 10^0 = 0 × 10^0", "value": 0 }, { "label": "Shift the decimal point without floating-point multiplication", "expression": "0 × 10^0 = 0" } ], "explanation": "Zero is displayed as 0 × 10^0 by convention." }, "display": "Scientific notation: 0 × 10^0 scientific notation" }, "expected": { "value": { "scientific": "0 × 10^0" }, "display": "Scientific notation: 0 × 10^0 scientific notation", "source": "packages/calculator-core/tests/scientific-notation.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "scientific-notation", "methodVersion": "scientific-notation@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": "999.9", "significantFigures": 2 } ], "units": { "value": "dimensionless exact decimal", "significantFigures": "digits" }, "display": "Value: 999.9 dimensionless exact decimal; Significant figures: 2 digits" }, "output": { "returned": { "ok": true, "output": { "scientific": "1.0 × 10^3", "eNotation": "1.0E3", "engineering": "1.0 × 10^3", "decimal": "1000", "coefficient": "1.0", "exponent": 3, "engineeringCoefficient": "1.0", "engineeringExponent": 3, "significantFigures": 2, "rounded": true }, "errors": [], "warnings": [ { "code": "rounded", "severity": "info", "message": "All displayed forms use the value rounded to 2 significant figures, with ties away from zero." } ], "steps": [ { "label": "Normalize the coefficient and apply optional significant-figure rounding", "expression": "999.9 ≈ 1.0 × 10^3", "value": 3 }, { "label": "Write the same power of ten with E", "expression": "1.0 × 10^3 = 1.0E3", "value": 3 }, { "label": "Choose an engineering exponent divisible by three", "expression": "1.0 × 10^3 = 1.0 × 10^3", "value": 3 }, { "label": "Shift the decimal point without floating-point multiplication", "expression": "1.0 × 10^3 = 1000" } ], "explanation": "The coefficient has magnitude at least 1 and less than 10. The value was rounded to 2 significant figures (ties away from zero). The engineering exponent is a multiple of three." }, "display": "Scientific notation: 1.0 × 10^3 scientific notation" }, "expected": { "value": { "scientific": "1.0 × 10^3" }, "display": "Scientific notation: 1.0 × 10^3 scientific notation", "source": "packages/calculator-core/tests/scientific-notation.test.ts" }, "tolerance": 1e-10, "pass": true } ], "series-resistors": [ { "calculatorId": "series-resistors", "methodVersion": "series-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "r1Ohms": 100, "r2Ohms": 200 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 100 Ω; Resistance 2: 200 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 300 }, "errors": [], "warnings": [], "steps": [ { "label": "Series resistance", "expression": "100 Ω + 200 Ω = 300 Ω", "value": 300, "unit": "Ω" } ], "explanation": "The total series resistance is 300 ohms." }, "display": "Resistance: 300 Ω" }, "expected": { "value": { "resistanceOhms": 300 }, "display": "Resistance: 300 Ω", "source": "packages/calculator-core/tests/series-resistors.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "series-resistors", "methodVersion": "series-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "r1Ohms": 0.001, "r2Ohms": 0.002 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 0.001 Ω; Resistance 2: 0.002 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 0.003 }, "errors": [], "warnings": [], "steps": [ { "label": "Series resistance", "expression": "0.001 Ω + 0.002 Ω = 0.003 Ω", "value": 0.003, "unit": "Ω" } ], "explanation": "The total series resistance is 0.003 ohms." }, "display": "Resistance: 0.003 Ω" }, "expected": { "value": { "resistanceOhms": 0.003 }, "display": "Resistance: 0.003 Ω", "source": "packages/calculator-core/tests/series-resistors.test.ts" }, "tolerance": 1e-12, "pass": true }, { "calculatorId": "series-resistors", "methodVersion": "series-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "r1Ohms": 100, "r2Ohms": 400 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 100 Ω; Resistance 2: 400 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 500 }, "errors": [], "warnings": [], "steps": [ { "label": "Series resistance", "expression": "100 Ω + 400 Ω = 500 Ω", "value": 500, "unit": "Ω" } ], "explanation": "The total series resistance is 500 ohms." }, "display": "Resistance: 500 Ω" }, "expected": { "value": { "resistanceOhms": 500 }, "display": "Resistance: 500 Ω", "source": "Hand arithmetic: Series resistances add: 100 + 400 = 500 Ω." }, "tolerance": 0, "pass": true } ], "cutting-speed": [ { "calculatorId": "cutting-speed", "methodVersion": "cutting-speed@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "diameterMm": 10, "spindleRpm": 1000 } ], "units": { "diameterMm": "mm", "spindleRpm": "rpm" }, "display": "Diameter: 10 mm; Spindle speed: 1000 rpm" }, "output": { "returned": { "ok": true, "output": { "surfaceSpeedMPerMin": 31.41592653589793 }, "errors": [], "warnings": [], "steps": [ { "label": "Surface speed", "expression": "π × 10 mm × 1,000 rpm ÷ 1000 = 31.415927 m/min", "value": 31.41592653589793, "unit": "m/min" } ], "explanation": "The surface speed is 31.415927 meters per minute." }, "display": "Surface speed: 31.41592653589793 m/min" }, "expected": { "value": { "surfaceSpeedMPerMin": 31.415926536 }, "display": "Surface speed: 31.415926536 m/min", "source": "packages/calculator-core/tests/cutting-speed.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "cutting-speed", "methodVersion": "cutting-speed@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "diameterMm": 0.001, "spindleRpm": 0.001 } ], "units": { "diameterMm": "mm", "spindleRpm": "rpm" }, "display": "Diameter: 0.001 mm; Spindle speed: 0.001 rpm" }, "output": { "returned": { "ok": true, "output": { "surfaceSpeedMPerMin": 3.141592653589793e-9 }, "errors": [], "warnings": [], "steps": [ { "label": "Surface speed", "expression": "π × 0.001 mm × 0.001 rpm ÷ 1000 = 3.141593e-9 m/min", "value": 3.141592653589793e-9, "unit": "m/min" } ], "explanation": "The surface speed is 3.141593e-9 meters per minute." }, "display": "Surface speed: 3.141592653589793e-9 m/min" }, "expected": { "value": { "surfaceSpeedMPerMin": 3.141592653589793e-9 }, "display": "Surface speed: 3.141592653589793e-9 m/min", "source": "packages/calculator-core/tests/cutting-speed.test.ts" }, "tolerance": 5e-16, "pass": true }, { "calculatorId": "cutting-speed", "methodVersion": "cutting-speed@1.0.0", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "diameterMm": 50, "spindleRpm": 2000 } ], "units": { "diameterMm": "mm", "spindleRpm": "rpm" }, "display": "Diameter: 50 mm; Spindle speed: 2000 rpm" }, "output": { "returned": { "ok": true, "output": { "surfaceSpeedMPerMin": 314.1592653589793 }, "errors": [], "warnings": [], "steps": [ { "label": "Surface speed", "expression": "π × 50 mm × 2,000 rpm ÷ 1000 = 314.159265 m/min", "value": 314.1592653589793, "unit": "m/min" } ], "explanation": "The surface speed is 314.159265 meters per minute." }, "display": "Surface speed: 314.1592653589793 m/min" }, "expected": { "value": { "surfaceSpeedMPerMin": 314.159265 }, "display": "Surface speed: 314.159265 m/min", "source": "packages/calculator-core/tests/cutting-speed.test.ts" }, "tolerance": 5e-7, "pass": true } ], "area-converter": [ { "calculatorId": "area-converter", "methodVersion": "area-linear@1.0.1", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "acre", "to": "m2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 acre; From unit: acre; To unit: m²" }, "output": { "returned": { "ok": true, "output": { "value": 4046.8564224, "squareMeters": 4046.8564224, "from": "acre", "to": "m2" }, "errors": [], "warnings": [], "steps": [ { "label": "Normalize to base unit", "expression": "1 acre → square meters", "value": 4046.8564224, "unit": "m²" }, { "label": "Convert to target unit", "expression": "4,046.856422 m² → m2", "value": 4046.8564224, "unit": "m2" } ], "explanation": "1 acre equals 4,046.856422 m2." }, "display": "Value: 4046.8564224 m²" }, "expected": { "value": { "value": 4046.8564224 }, "display": "Value: 4046.8564224 m²", "source": "packages/calculator-core/tests/area-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "area-converter", "methodVersion": "area-linear@1.0.1", "runAt": "2026-10-29T06:04:06.921Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "acre", "to": "m2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 acre; From unit: acre; To unit: m²" }, "output": { "returned": { "ok": true, "output": { "value": 0, "squareMeters": 0, "from": "acre", "to": "m2" }, "errors": [], "warnings": [], "steps": [ { "label": "Normalize to base unit", "expression": "0 acre → square meters", "value": 0, "unit": "m²" }, { "label": "Convert to target unit", "expression": "0 m² → m2", "value": 0, "unit": "m2" } ], "explanation": "0 acre equals 0 m2." }, "display": "Value: 0 m²" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 m²", "source": "Hand arithmetic: 0 acre × the finite conversion factor = 0 m2." }, "tolerance": 0, "pass": true }, { "calculatorId": "area-converter", "methodVersion": "area-linear@1.0.1", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "hectare", "to": "m2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 hectare; From unit: hectare; To unit: m²" }, "output": { "returned": { "ok": true, "output": { "value": 10000, "squareMeters": 10000, "from": "hectare", "to": "m2" }, "errors": [], "warnings": [], "steps": [ { "label": "Normalize to base unit", "expression": "1 hectare → square meters", "value": 10000, "unit": "m²" }, { "label": "Convert to target unit", "expression": "10,000 m² → m2", "value": 10000, "unit": "m2" } ], "explanation": "1 hectare equals 10,000 m2." }, "display": "Value: 10000 m²" }, "expected": { "value": { "value": 10000 }, "display": "Value: 10000 m²", "source": "packages/calculator-core/tests/area-converter.test.ts" }, "tolerance": 1e-10, "pass": true } ], "parallel-resistors": [ { "calculatorId": "parallel-resistors", "methodVersion": "parallel-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "r1Ohms": 1000, "r2Ohms": 1000 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 1000 Ω; Resistance 2: 1000 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 500 }, "errors": [], "warnings": [], "steps": [ { "label": "Equivalent resistance", "expression": "1 ÷ (1 ÷ 1,000 Ω + 1 ÷ 1,000 Ω) = 500 Ω", "value": 500, "unit": "Ω" } ], "explanation": "The equivalent resistance is 500 ohms." }, "display": "Resistance: 500 Ω" }, "expected": { "value": { "resistanceOhms": 500 }, "display": "Resistance: 500 Ω", "source": "packages/calculator-core/tests/parallel-resistors.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "parallel-resistors", "methodVersion": "parallel-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "r1Ohms": 0.001, "r2Ohms": 0.001 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 0.001 Ω; Resistance 2: 0.001 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 0.0005 }, "errors": [], "warnings": [], "steps": [ { "label": "Equivalent resistance", "expression": "1 ÷ (1 ÷ 0.001 Ω + 1 ÷ 0.001 Ω) = 0.0005 Ω", "value": 0.0005, "unit": "Ω" } ], "explanation": "The equivalent resistance is 0.0005 ohms." }, "display": "Resistance: 0.0005 Ω" }, "expected": { "value": { "resistanceOhms": 0.0005 }, "display": "Resistance: 0.0005 Ω", "source": "packages/calculator-core/tests/parallel-resistors.test.ts" }, "tolerance": 1e-12, "pass": true }, { "calculatorId": "parallel-resistors", "methodVersion": "parallel-resistors@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "r1Ohms": 100, "r2Ohms": 300 } ], "units": { "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Resistance 1: 100 Ω; Resistance 2: 300 Ω" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 75 }, "errors": [], "warnings": [], "steps": [ { "label": "Equivalent resistance", "expression": "1 ÷ (1 ÷ 100 Ω + 1 ÷ 300 Ω) = 75 Ω", "value": 75, "unit": "Ω" } ], "explanation": "The equivalent resistance is 75 ohms." }, "display": "Resistance: 75 Ω" }, "expected": { "value": { "resistanceOhms": 75 }, "display": "Resistance: 75 Ω", "source": "packages/calculator-core/tests/parallel-resistors.test.ts" }, "tolerance": 1e-10, "pass": true } ], "battery-runtime": [ { "calculatorId": "battery-runtime", "methodVersion": "battery-runtime-energy@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "capacityAh": 100, "voltageV": 12, "loadW": 100, "efficiencyPercent": 85 } ], "units": { "capacityAh": "Ah", "voltageV": "V", "loadW": "W", "efficiencyPercent": "%", "dischargeDepthPercent": "%" }, "display": "Capacity: 100 Ah; Voltage: 12 V; Load: 100 W; Efficiency: 85 %" }, "output": { "returned": { "ok": true, "errors": [], "output": { "runtimeHours": 10.2, "nominalEnergyWh": 1200, "usableEnergyWh": 1020, "dischargeDepthPercent": 100, "efficiencyPercent": 85, "loadW": 100 }, "warnings": [ { "code": "BASIC_MODEL_ONLY", "severity": "info", "message": "Basic energy model: holds voltage and load constant and does not model chemistry, discharge rate, temperature or age." }, { "code": "FULL_DISCHARGE_ASSUMED", "severity": "warning", "message": "Assumes the full nominal capacity is usable (100% depth of discharge). Set the usable fraction for your calculation; this default is not a discharge recommendation." } ], "steps": [ { "label": "Nominal energy", "expression": "100 Ah × 12 V", "value": 1200, "unit": "Wh" }, { "label": "Usable energy", "expression": "1,200 Wh × 100% DoD × 85%", "value": 1020, "unit": "Wh" }, { "label": "Runtime", "expression": "1,020 Wh ÷ 100 W", "value": 10.2, "unit": "h" } ], "explanation": "The basic model estimates 10.2 hours of runtime." }, "display": "Runtime: 10.2 h" }, "expected": { "value": { "runtimeHours": 10.2 }, "display": "Runtime: 10.2 h", "source": "packages/calculator-core/tests/battery-runtime.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "battery-runtime", "methodVersion": "battery-runtime-energy@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "capacityAh": 120, "voltageV": 12, "loadW": 96, "dischargeDepthPercent": 100, "efficiencyPercent": 100 } ], "units": { "capacityAh": "Ah", "voltageV": "V", "loadW": "W", "efficiencyPercent": "%", "dischargeDepthPercent": "%" }, "display": "Capacity: 120 Ah; Voltage: 12 V; Load: 96 W; Usable capacity: 100 %; Efficiency: 100 %" }, "output": { "returned": { "ok": true, "errors": [], "output": { "runtimeHours": 15, "nominalEnergyWh": 1440, "usableEnergyWh": 1440, "dischargeDepthPercent": 100, "efficiencyPercent": 100, "loadW": 96 }, "warnings": [ { "code": "BASIC_MODEL_ONLY", "severity": "info", "message": "Basic energy model: holds voltage and load constant and does not model chemistry, discharge rate, temperature or age." } ], "steps": [ { "label": "Nominal energy", "expression": "120 Ah × 12 V", "value": 1440, "unit": "Wh" }, { "label": "Usable energy", "expression": "1,440 Wh × 100% DoD × 100%", "value": 1440, "unit": "Wh" }, { "label": "Runtime", "expression": "1,440 Wh ÷ 96 W", "value": 15, "unit": "h" } ], "explanation": "The basic model estimates 15 hours of runtime." }, "display": "Runtime: 15 h" }, "expected": { "value": { "runtimeHours": 15 }, "display": "Runtime: 15 h", "source": "packages/calculator-core/tests/battery-runtime.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "battery-runtime", "methodVersion": "battery-runtime-energy@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "capacityAh": 100, "voltageV": 12, "loadW": 100, "efficiencyPercent": 85, "dischargeDepthPercent": 50 } ], "units": { "capacityAh": "Ah", "voltageV": "V", "loadW": "W", "efficiencyPercent": "%", "dischargeDepthPercent": "%" }, "display": "Capacity: 100 Ah; Voltage: 12 V; Load: 100 W; Efficiency: 85 %; Usable capacity: 50 %" }, "output": { "returned": { "ok": true, "errors": [], "output": { "runtimeHours": 5.1, "nominalEnergyWh": 1200, "usableEnergyWh": 510, "dischargeDepthPercent": 50, "efficiencyPercent": 85, "loadW": 100 }, "warnings": [ { "code": "BASIC_MODEL_ONLY", "severity": "info", "message": "Basic energy model: holds voltage and load constant and does not model chemistry, discharge rate, temperature or age." } ], "steps": [ { "label": "Nominal energy", "expression": "100 Ah × 12 V", "value": 1200, "unit": "Wh" }, { "label": "Usable energy", "expression": "1,200 Wh × 50% DoD × 85%", "value": 510, "unit": "Wh" }, { "label": "Runtime", "expression": "510 Wh ÷ 100 W", "value": 5.1, "unit": "h" } ], "explanation": "The basic model estimates 5.1 hours of runtime." }, "display": "Runtime: 5.1 h" }, "expected": { "value": { "runtimeHours": 5.1 }, "display": "Runtime: 5.1 h", "source": "packages/calculator-core/tests/battery-runtime.test.ts" }, "tolerance": 1e-10, "pass": true } ], "ohms-law": [ { "calculatorId": "ohms-law", "methodVersion": "ohms-law@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "voltageV": 12, "currentA": 2 } ], "units": { "voltageV": "V", "currentA": "A" }, "display": "Voltage: 12 V; Current: 2 A" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 6, "powerW": 24 }, "errors": [], "warnings": [], "steps": [ { "label": "Resistance", "expression": "12 V ÷ 2 A = 6 Ω", "value": 6, "unit": "Ω" }, { "label": "Power", "expression": "12 V × 2 A = 24 W", "value": 24, "unit": "W" } ], "explanation": "The circuit resistance is 6 ohms and its power is 24 watts." }, "display": "Resistance: 6 Ω; Power: 24 W" }, "expected": { "value": { "resistanceOhms": 6, "powerW": 24 }, "display": "Resistance: 6 Ω; Power: 24 W", "source": "packages/calculator-core/tests/ohms-law.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "ohms-law", "methodVersion": "ohms-law@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "voltageV": 0.001, "currentA": 0.0005 } ], "units": { "voltageV": "V", "currentA": "A" }, "display": "Voltage: 0.001 V; Current: 0.0005 A" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 2, "powerW": 5e-7 }, "errors": [], "warnings": [], "steps": [ { "label": "Resistance", "expression": "0.001 V ÷ 0.0005 A = 2 Ω", "value": 2, "unit": "Ω" }, { "label": "Power", "expression": "0.001 V × 0.0005 A = 5.000000e-7 W", "value": 5e-7, "unit": "W" } ], "explanation": "The circuit resistance is 2 ohms and its power is 5.000000e-7 watts." }, "display": "Resistance: 2 Ω" }, "expected": { "value": { "resistanceOhms": 2 }, "display": "Resistance: 2 Ω", "source": "packages/calculator-core/tests/ohms-law.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "ohms-law", "methodVersion": "ohms-law@1.0.0", "runAt": "2026-10-29T06:04:06.922Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "voltageV": 5, "currentA": 1 } ], "units": { "voltageV": "V", "currentA": "A" }, "display": "Voltage: 5 V; Current: 1 A" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 5, "powerW": 5 }, "errors": [], "warnings": [], "steps": [ { "label": "Resistance", "expression": "5 V ÷ 1 A = 5 Ω", "value": 5, "unit": "Ω" }, { "label": "Power", "expression": "5 V × 1 A = 5 W", "value": 5, "unit": "W" } ], "explanation": "The circuit resistance is 5 ohms and its power is 5 watts." }, "display": "Resistance: 5 Ω; Power: 5 W" }, "expected": { "value": { "resistanceOhms": 5, "powerW": 5 }, "display": "Resistance: 5 Ω; Power: 5 W", "source": "packages/calculator-core/tests/ohms-law.test.ts" }, "tolerance": 1e-10, "pass": true } ], "percentage-change": [ { "calculatorId": "percentage-change", "methodVersion": "percentage-change@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "oldValue": 100, "newValue": 125 } ], "units": { "oldValue": "same units", "newValue": "same units" }, "display": "Original value: 100 same units; New value: 125 same units" }, "output": { "returned": { "ok": true, "output": { "change": 25, "percentChange": 25 }, "errors": [], "warnings": [], "steps": [ { "label": "Absolute change", "expression": "125 − 100 = 25", "value": 25 }, { "label": "Percentage change", "expression": "(25 ÷ |100|) × 100 = 25%", "value": 25, "unit": "%" } ], "explanation": "The value changed by 25, or 25 percent of the original magnitude." }, "display": "Percentage change: 25 %" }, "expected": { "value": { "percentChange": 25 }, "display": "Percentage change: 25 %", "source": "packages/calculator-core/tests/percentage-change.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "percentage-change", "methodVersion": "percentage-change@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "oldValue": 20, "newValue": 0 } ], "units": { "oldValue": "same units", "newValue": "same units" }, "display": "Original value: 20 same units; New value: 0 same units" }, "output": { "returned": { "ok": true, "output": { "change": -20, "percentChange": -100 }, "errors": [], "warnings": [], "steps": [ { "label": "Absolute change", "expression": "0 − 20 = -20", "value": -20 }, { "label": "Percentage change", "expression": "(-20 ÷ |20|) × 100 = -100%", "value": -100, "unit": "%" } ], "explanation": "The value changed by -20, or -100 percent of the original magnitude." }, "display": "Percentage change: -100 %" }, "expected": { "value": { "percentChange": -100 }, "display": "Percentage change: -100 %", "source": "packages/calculator-core/tests/percentage-change.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "percentage-change", "methodVersion": "percentage-change@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "oldValue": 80, "newValue": 60 } ], "units": { "oldValue": "same units", "newValue": "same units" }, "display": "Original value: 80 same units; New value: 60 same units" }, "output": { "returned": { "ok": true, "output": { "change": -20, "percentChange": -25 }, "errors": [], "warnings": [], "steps": [ { "label": "Absolute change", "expression": "60 − 80 = -20", "value": -20 }, { "label": "Percentage change", "expression": "(-20 ÷ |80|) × 100 = -25%", "value": -25, "unit": "%" } ], "explanation": "The value changed by -20, or -25 percent of the original magnitude." }, "display": "Percentage change: -25 %" }, "expected": { "value": { "percentChange": -25 }, "display": "Percentage change: -25 %", "source": "packages/calculator-core/tests/percentage-change.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "percentage-change", "methodVersion": "percentage-change@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "signed", "inputs": { "arguments": [ { "oldValue": -100, "newValue": -50 } ], "units": { "oldValue": "same units", "newValue": "same units" }, "display": "Original value: -100 same units; New value: -50 same units" }, "output": { "returned": { "ok": true, "output": { "change": 50, "percentChange": 50 }, "errors": [], "warnings": [], "steps": [ { "label": "Absolute change", "expression": "-50 − -100 = 50", "value": 50 }, { "label": "Percentage change", "expression": "(50 ÷ |-100|) × 100 = 50%", "value": 50, "unit": "%" } ], "explanation": "The value changed by 50, or 50 percent of the original magnitude." }, "display": "Percentage change: 50 %" }, "expected": { "value": { "percentChange": 50 }, "display": "Percentage change: 50 %", "source": "Hand arithmetic: Sumivo convention: (−50 − (−100)) ÷ |−100| × 100 = 50%." }, "tolerance": 0, "pass": true } ], "voltage-divider": [ { "calculatorId": "voltage-divider", "methodVersion": "voltage-divider@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "vinV": 12, "r1Ohms": 1000, "r2Ohms": 2000 } ], "units": { "vinV": "V", "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Input voltage: 12 V; Resistance 1: 1000 Ω; Resistance 2: 2000 Ω" }, "output": { "returned": { "ok": true, "output": { "voutV": 8, "currentA": 0.004 }, "errors": [], "warnings": [], "steps": [ { "label": "Output voltage", "expression": "12 V × 2,000 Ω ÷ (1,000 Ω + 2,000 Ω) = 8 V", "value": 8, "unit": "V" }, { "label": "Current", "expression": "12 V ÷ (1,000 Ω + 2,000 Ω) = 0.004 A", "value": 0.004, "unit": "A" } ], "explanation": "The divider output is 8 volts and the series current is 0.004 amperes." }, "display": "Output voltage: 8 V; Current: 0.004 A" }, "expected": { "value": { "voutV": 8, "currentA": 0.004 }, "display": "Output voltage: 8 V; Current: 0.004 A", "source": "packages/calculator-core/tests/voltage-divider.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "voltage-divider", "methodVersion": "voltage-divider@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "vinV": 0, "r1Ohms": 1000, "r2Ohms": 2000 } ], "units": { "vinV": "V", "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Input voltage: 0 V; Resistance 1: 1000 Ω; Resistance 2: 2000 Ω" }, "output": { "returned": { "ok": false, "errors": [ "Input voltage must be a positive finite number." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Input voltage must be a positive finite number." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/voltage-divider.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "voltage-divider", "methodVersion": "voltage-divider@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "vinV": 12, "r1Ohms": 1000, "r2Ohms": 1000 } ], "units": { "vinV": "V", "r1Ohms": "Ω", "r2Ohms": "Ω" }, "display": "Input voltage: 12 V; Resistance 1: 1000 Ω; Resistance 2: 1000 Ω" }, "output": { "returned": { "ok": true, "output": { "voutV": 6, "currentA": 0.006 }, "errors": [], "warnings": [], "steps": [ { "label": "Output voltage", "expression": "12 V × 1,000 Ω ÷ (1,000 Ω + 1,000 Ω) = 6 V", "value": 6, "unit": "V" }, { "label": "Current", "expression": "12 V ÷ (1,000 Ω + 1,000 Ω) = 0.006 A", "value": 0.006, "unit": "A" } ], "explanation": "The divider output is 6 volts and the series current is 0.006 amperes." }, "display": "Output voltage: 6 V; Current: 0.006 A" }, "expected": { "value": { "voutV": 6, "currentA": 0.006 }, "display": "Output voltage: 6 V; Current: 0.006 A", "source": "Hand arithmetic: 12/2000 = 0.006 A; 0.006 × 1000 = 6 V." }, "tolerance": 1e-12, "pass": true } ], "led-resistor": [ { "calculatorId": "led-resistor", "methodVersion": "led-resistor@1.0.0", "runAt": "2026-10-29T06:04:06.923Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "supplyVoltageV": 5, "ledForwardVoltageV": 2, "ledCurrentMa": 20 } ], "units": { "supplyVoltageV": "V", "ledForwardVoltageV": "V", "ledCurrentMa": "mA" }, "display": "Supply voltage: 5 V; LED forward voltage: 2 V; LED current: 20 mA" }, "output": { "returned": { "ok": true, "output": { "currentA": 0.02, "resistanceOhms": 150, "resistorPowerW": 0.06 }, "errors": [], "warnings": [], "steps": [ { "label": "Convert LED current", "expression": "20 mA ÷ 1000 = 0.02 A", "value": 0.02, "unit": "A" }, { "label": "Series resistance", "expression": "(5 V − 2 V) ÷ 0.02 A = 150 Ω", "value": 150, "unit": "Ω" }, { "label": "Resistor power", "expression": "(5 V − 2 V) × 0.02 A = 0.06 W", "value": 0.06, "unit": "W" } ], "explanation": "The required series resistance is 150 ohms and the resistor dissipates 0.06 watts." }, "display": "Resistance: 150 Ω" }, "expected": { "value": { "resistanceOhms": 150 }, "display": "Resistance: 150 Ω", "source": "packages/calculator-core/tests/led-resistor.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "led-resistor", "methodVersion": "led-resistor@1.0.0", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "supplyVoltageV": 2.0001, "ledForwardVoltageV": 2, "ledCurrentMa": 1 } ], "units": { "supplyVoltageV": "V", "ledForwardVoltageV": "V", "ledCurrentMa": "mA" }, "display": "Supply voltage: 2.0001 V; LED forward voltage: 2 V; LED current: 1 mA" }, "output": { "returned": { "ok": true, "output": { "currentA": 0.001, "resistanceOhms": 0.10000000000021103, "resistorPowerW": 1.0000000000021104e-7 }, "errors": [], "warnings": [], "steps": [ { "label": "Convert LED current", "expression": "1 mA ÷ 1000 = 0.001 A", "value": 0.001, "unit": "A" }, { "label": "Series resistance", "expression": "(2.0001 V − 2 V) ÷ 0.001 A = 0.1 Ω", "value": 0.10000000000021103, "unit": "Ω" }, { "label": "Resistor power", "expression": "(2.0001 V − 2 V) × 0.001 A = 1.000000e-7 W", "value": 1.0000000000021104e-7, "unit": "W" } ], "explanation": "The required series resistance is 0.1 ohms and the resistor dissipates 1.000000e-7 watts." }, "display": "Resistance: 0.10000000000021103 Ω" }, "expected": { "value": { "resistanceOhms": 0.1 }, "display": "Resistance: 0.1 Ω", "source": "packages/calculator-core/tests/led-resistor.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "led-resistor", "methodVersion": "led-resistor@1.0.0", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "supplyVoltageV": 12, "ledForwardVoltageV": 3.2, "ledCurrentMa": 30 } ], "units": { "supplyVoltageV": "V", "ledForwardVoltageV": "V", "ledCurrentMa": "mA" }, "display": "Supply voltage: 12 V; LED forward voltage: 3.2 V; LED current: 30 mA" }, "output": { "returned": { "ok": true, "output": { "currentA": 0.03, "resistanceOhms": 293.33333333333337, "resistorPowerW": 0.264 }, "errors": [], "warnings": [], "steps": [ { "label": "Convert LED current", "expression": "30 mA ÷ 1000 = 0.03 A", "value": 0.03, "unit": "A" }, { "label": "Series resistance", "expression": "(12 V − 3.2 V) ÷ 0.03 A = 293.333333 Ω", "value": 293.33333333333337, "unit": "Ω" }, { "label": "Resistor power", "expression": "(12 V − 3.2 V) × 0.03 A = 0.264 W", "value": 0.264, "unit": "W" } ], "explanation": "The required series resistance is 293.333333 ohms and the resistor dissipates 0.264 watts." }, "display": "Resistance: 293.33333333333337 Ω" }, "expected": { "value": { "resistanceOhms": 293.333 }, "display": "Resistance: 293.333 Ω", "source": "packages/calculator-core/tests/led-resistor.test.ts" }, "tolerance": 0.0005, "pass": true } ], "capacitor-energy": [ { "calculatorId": "capacitor-energy", "methodVersion": "capacitor-energy@1.0.1", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "capacitanceF": 0.001, "voltageV": 10 } ], "units": { "capacitanceF": "F", "voltageV": "V" }, "display": "Capacitance: 0.001 F; Voltage: 10 V" }, "output": { "returned": { "ok": true, "output": { "energyJ": 0.05, "chargeC": 0.01 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 0.001 F × 10 V × 10 V = 0.05 J", "value": 0.05, "unit": "J" }, { "label": "Charge", "expression": "0.001 F × 10 V = 0.01 C", "value": 0.01, "unit": "C" } ], "explanation": "The capacitor stores 0.05 joules of energy and 0.01 coulombs of charge." }, "display": "Charge: 0.01 C; Stored energy: 0.05 J" }, "expected": { "value": { "chargeC": 0.01, "energyJ": 0.05 }, "display": "Charge: 0.01 C; Stored energy: 0.05 J", "source": "packages/calculator-core/tests/capacitor-energy.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "capacitor-energy", "methodVersion": "capacitor-energy@1.0.1", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "capacitanceF": 1e-12, "voltageV": 0.001 } ], "units": { "capacitanceF": "F", "voltageV": "V" }, "display": "Capacitance: 1e-12 F; Voltage: 0.001 V" }, "output": { "returned": { "ok": true, "output": { "energyJ": 5e-19, "chargeC": 1e-15 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 1.000000e-12 F × 0.001 V × 0.001 V = 5.000000e-19 J", "value": 5e-19, "unit": "J" }, { "label": "Charge", "expression": "1.000000e-12 F × 0.001 V = 1.000000e-15 C", "value": 1e-15, "unit": "C" } ], "explanation": "The capacitor stores 5.000000e-19 joules of energy and 1.000000e-15 coulombs of charge." }, "display": "Stored energy: 5e-19 J; Charge: 1e-15 C" }, "expected": { "value": { "energyJ": 5e-19, "chargeC": 1e-15 }, "display": "Stored energy: 5e-19 J; Charge: 1e-15 C", "source": "packages/calculator-core/tests/capacitor-energy.test.ts" }, "tolerance": 1e-24, "pass": true }, { "calculatorId": "capacitor-energy", "methodVersion": "capacitor-energy@1.0.1", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "capacitanceF": 0.000001, "voltageV": 5 } ], "units": { "capacitanceF": "F", "voltageV": "V" }, "display": "Capacitance: 0.000001 F; Voltage: 5 V" }, "output": { "returned": { "ok": true, "output": { "energyJ": 0.000012499999999999999, "chargeC": 0.0000049999999999999996 }, "errors": [], "warnings": [], "steps": [ { "label": "Stored energy", "expression": "0.5 × 0.000001 F × 5 V × 5 V = 0.000012 J", "value": 0.000012499999999999999, "unit": "J" }, { "label": "Charge", "expression": "0.000001 F × 5 V = 0.000005 C", "value": 0.0000049999999999999996, "unit": "C" } ], "explanation": "The capacitor stores 0.000012 joules of energy and 0.000005 coulombs of charge." }, "display": "Stored energy: 0.000012499999999999999 J; Charge: 0.0000049999999999999996 C" }, "expected": { "value": { "energyJ": 0.0000125, "chargeC": 0.000005 }, "display": "Stored energy: 0.0000125 J; Charge: 0.000005 C", "source": "packages/calculator-core/tests/capacitor-energy.test.ts" }, "tolerance": 1e-14, "pass": true } ], "battery-capacity": [ { "calculatorId": "battery-capacity", "methodVersion": "battery-capacity@1.0.0", "runAt": "2026-10-29T06:04:06.924Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "capacityAh": 100, "voltageV": 12 } ], "units": { "capacityAh": "Ah", "voltageV": "V" }, "display": "Capacity: 100 Ah; Voltage: 12 V" }, "output": { "returned": { "ok": true, "output": { "energyWh": 1200, "energyKwh": 1.2 }, "errors": [], "warnings": [], "steps": [ { "label": "Energy", "expression": "100 Ah × 12 V = 1,200 Wh", "value": 1200, "unit": "Wh" }, { "label": "Kilowatt-hours", "expression": "1,200 Wh ÷ 1000 = 1.2 kWh", "value": 1.2, "unit": "kWh" } ], "explanation": "The battery's nominal energy is 1,200 watt-hours, or 1.2 kilowatt-hours." }, "display": "Energy: 1200 Wh; Energy: 1.2 kWh" }, "expected": { "value": { "energyWh": 1200, "energyKwh": 1.2 }, "display": "Energy: 1200 Wh; Energy: 1.2 kWh", "source": "packages/calculator-core/tests/battery-capacity.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "battery-capacity", "methodVersion": "battery-capacity@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "capacityAh": 0, "voltageV": 12 } ], "units": { "capacityAh": "Ah", "voltageV": "V" }, "display": "Capacity: 0 Ah; Voltage: 12 V" }, "output": { "returned": { "ok": false, "errors": [ "Capacity must be a positive finite number." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Capacity must be a positive finite number." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/battery-capacity.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "battery-capacity", "methodVersion": "battery-capacity@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "capacityAh": 200, "voltageV": 12 } ], "units": { "capacityAh": "Ah", "voltageV": "V" }, "display": "Capacity: 200 Ah; Voltage: 12 V" }, "output": { "returned": { "ok": true, "output": { "energyWh": 2400, "energyKwh": 2.4 }, "errors": [], "warnings": [], "steps": [ { "label": "Energy", "expression": "200 Ah × 12 V = 2,400 Wh", "value": 2400, "unit": "Wh" }, { "label": "Kilowatt-hours", "expression": "2,400 Wh ÷ 1000 = 2.4 kWh", "value": 2.4, "unit": "kWh" } ], "explanation": "The battery's nominal energy is 2,400 watt-hours, or 2.4 kilowatt-hours." }, "display": "Energy: 2400 Wh; Energy: 2.4 kWh" }, "expected": { "value": { "energyWh": 2400, "energyKwh": 2.4 }, "display": "Energy: 2400 Wh; Energy: 2.4 kWh", "source": "Hand arithmetic: 200 × 12 = 2400 Wh; 2400 / 1000 = 2.4 kWh." }, "tolerance": 1e-10, "pass": true } ], "transformer": [ { "calculatorId": "transformer", "methodVersion": "transformer@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "primaryVoltageV": 230, "primaryTurns": 100, "secondaryTurns": 50 } ], "units": { "primaryVoltageV": "V", "primaryTurns": "turns", "secondaryTurns": "turns" }, "display": "Primary voltage: 230 V; Primary turns: 100 turns; Secondary turns: 50 turns" }, "output": { "returned": { "ok": true, "output": { "secondaryVoltageV": 115, "turnsRatio": 2 }, "errors": [], "warnings": [], "steps": [ { "label": "Secondary voltage", "expression": "230 V × (50 ÷ 100) = 115 V", "value": 115, "unit": "V" }, { "label": "Turns ratio", "expression": "100 ÷ 50 = 2:1", "value": 2 } ], "explanation": "The ideal secondary voltage is 115 volts and the primary-to-secondary turns ratio is 2 to 1." }, "display": "Secondary voltage: 115 V; Turns ratio: 2 ratio" }, "expected": { "value": { "secondaryVoltageV": 115, "turnsRatio": 2 }, "display": "Secondary voltage: 115 V; Turns ratio: 2 ratio", "source": "packages/calculator-core/tests/transformer.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "transformer", "methodVersion": "transformer@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "primaryVoltageV": 230, "primaryTurns": 100, "secondaryTurns": 0 } ], "units": { "primaryVoltageV": "V", "primaryTurns": "turns", "secondaryTurns": "turns" }, "display": "Primary voltage: 230 V; Primary turns: 100 turns; Secondary turns: 0 turns" }, "output": { "returned": { "ok": false, "errors": [ "Secondary turns must be a positive finite number." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Secondary turns must be a positive finite number." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/transformer.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "transformer", "methodVersion": "transformer@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "primaryVoltageV": 230, "primaryTurns": 100, "secondaryTurns": 100 } ], "units": { "primaryVoltageV": "V", "primaryTurns": "turns", "secondaryTurns": "turns" }, "display": "Primary voltage: 230 V; Primary turns: 100 turns; Secondary turns: 100 turns" }, "output": { "returned": { "ok": true, "output": { "secondaryVoltageV": 230, "turnsRatio": 1 }, "errors": [], "warnings": [], "steps": [ { "label": "Secondary voltage", "expression": "230 V × (100 ÷ 100) = 230 V", "value": 230, "unit": "V" }, { "label": "Turns ratio", "expression": "100 ÷ 100 = 1:1", "value": 1 } ], "explanation": "The ideal secondary voltage is 230 volts and the primary-to-secondary turns ratio is 1 to 1." }, "display": "Secondary voltage: 230 V; Turns ratio: 1 ratio" }, "expected": { "value": { "secondaryVoltageV": 230, "turnsRatio": 1 }, "display": "Secondary voltage: 230 V; Turns ratio: 1 ratio", "source": "Hand arithmetic: 100/100 = 1; 230 × 100/100 = 230 V." }, "tolerance": 0, "pass": true } ], "pcb-trace-resistance": [ { "calculatorId": "pcb-trace-resistance", "methodVersion": "pcb-trace-resistance-dc@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "lengthMm": 100, "widthMm": 1, "copperWeightOz": 1, "currentA": 1, "temperatureC": 20 } ], "units": { "lengthMm": "mm", "widthMm": "mm", "copperWeightOz": "oz/ft²", "currentA": "A", "temperatureC": "°C" }, "display": "Length: 100 mm; Width: 1 mm; Copper weight: 1 oz/ft²; Current: 1 A; Temperature: 20 °C" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 0.04955734406438632, "resistanceMilliohms": 49.55734406438632, "voltageDropV": 0.04955734406438632, "powerDissipationW": 0.04955734406438632, "crossSectionMm2": 0.034789999999999995 }, "errors": [], "warnings": [ { "code": "DC_IDEAL_TRACE", "severity": "info", "message": "DC resistance of a plain rectangular trace. It ignores skin effect at high frequency, vias, connectors, plating variation and etch tolerance." } ], "steps": [ { "label": "Resistivity at temperature", "expression": "1.7241e-8 × (1 + 0.00393 × (20 − 20)) = 1.72410e-8 Ω·m", "value": 1.7241e-8, "unit": "Ω·m" }, { "label": "Cross-section", "expression": "1 mm × (1 oz × 34.79 µm) = 0.03479 mm²", "value": 0.034789999999999995, "unit": "mm²" }, { "label": "Resistance", "expression": "1.72410e-8 Ω·m × 0.1 m ÷ 3.47900e-8 m² = 49.557344 mΩ", "value": 49.55734406438632, "unit": "mΩ" }, { "label": "Voltage drop", "expression": "1 A × 0.049557 Ω = 0.049557 V", "value": 0.04955734406438632, "unit": "V" } ], "explanation": "A 100 mm × 1 mm 1 oz copper trace has about 49.557 mΩ resistance, dropping 0.0496 V and dissipating 0.0496 W at 1 A." }, "display": "Resistance: 0.04955734406438632 Ω; Voltage drop: 0.04955734406438632 V; Power dissipation: 0.04955734406438632 W" }, "expected": { "value": { "resistanceOhms": 0.0495573, "voltageDropV": 0.0495573, "powerDissipationW": 0.0495573 }, "display": "Resistance: 0.0495573 Ω; Voltage drop: 0.0495573 V; Power dissipation: 0.0495573 W", "source": "packages/calculator-core/tests/pcb-trace-resistance.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "pcb-trace-resistance", "methodVersion": "pcb-trace-resistance-dc@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "lengthMm": 100, "widthMm": 0, "copperWeightOz": 1, "currentA": 1, "temperatureC": 20 } ], "units": { "lengthMm": "mm", "widthMm": "mm", "copperWeightOz": "oz/ft²", "currentA": "A", "temperatureC": "°C" }, "display": "Length: 100 mm; Width: 0 mm; Copper weight: 1 oz/ft²; Current: 1 A; Temperature: 20 °C" }, "output": { "returned": { "ok": false, "errors": [ "Trace width must be a positive number." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Trace width must be a positive number." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/pcb-trace-resistance.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "pcb-trace-resistance", "methodVersion": "pcb-trace-resistance-dc@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "lengthMm": 100, "widthMm": 1, "copperWeightOz": 1, "currentA": 2, "temperatureC": 20 } ], "units": { "lengthMm": "mm", "widthMm": "mm", "copperWeightOz": "oz/ft²", "currentA": "A", "temperatureC": "°C" }, "display": "Length: 100 mm; Width: 1 mm; Copper weight: 1 oz/ft²; Current: 2 A; Temperature: 20 °C" }, "output": { "returned": { "ok": true, "output": { "resistanceOhms": 0.04955734406438632, "resistanceMilliohms": 49.55734406438632, "voltageDropV": 0.09911468812877264, "powerDissipationW": 0.19822937625754528, "crossSectionMm2": 0.034789999999999995 }, "errors": [], "warnings": [ { "code": "DC_IDEAL_TRACE", "severity": "info", "message": "DC resistance of a plain rectangular trace. It ignores skin effect at high frequency, vias, connectors, plating variation and etch tolerance." } ], "steps": [ { "label": "Resistivity at temperature", "expression": "1.7241e-8 × (1 + 0.00393 × (20 − 20)) = 1.72410e-8 Ω·m", "value": 1.7241e-8, "unit": "Ω·m" }, { "label": "Cross-section", "expression": "1 mm × (1 oz × 34.79 µm) = 0.03479 mm²", "value": 0.034789999999999995, "unit": "mm²" }, { "label": "Resistance", "expression": "1.72410e-8 Ω·m × 0.1 m ÷ 3.47900e-8 m² = 49.557344 mΩ", "value": 49.55734406438632, "unit": "mΩ" }, { "label": "Voltage drop", "expression": "2 A × 0.049557 Ω = 0.099115 V", "value": 0.09911468812877264, "unit": "V" } ], "explanation": "A 100 mm × 1 mm 1 oz copper trace has about 49.557 mΩ resistance, dropping 0.0991 V and dissipating 0.1982 W at 2 A." }, "display": "Resistance: 0.04955734406438632 Ω; Voltage drop: 0.09911468812877264 V; Power dissipation: 0.19822937625754528 W" }, "expected": { "value": { "resistanceOhms": 0.04955734406438632, "voltageDropV": 0.09911468812877264, "powerDissipationW": 0.19822937625754528 }, "display": "Resistance: 0.04955734406438632 Ω; Voltage drop: 0.09911468812877264 V; Power dissipation: 0.19822937625754528 W", "source": "packages/calculator-core/tests/pcb-trace-resistance.test.ts" }, "tolerance": 1e-12, "pass": true } ], "motor-current": [ { "calculatorId": "motor-current", "methodVersion": "motor-current-1ph@1.0.0", "runAt": "2026-10-29T06:04:06.925Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "powerW": 1000, "voltageV": 230, "powerFactor": 0.85 } ], "units": { "powerW": "W electrical input", "voltageV": "V", "powerFactor": "ratio" }, "display": "Electrical input power: 1000 W electrical input; Voltage: 230 V; Power factor: 0.85 ratio" }, "output": { "returned": { "ok": true, "output": { "currentA": 5.115089514066496 }, "errors": [], "warnings": [], "steps": [ { "label": "Single-phase current", "expression": "1,000 W ÷ (230 V × 0.85) = 5.11509 A", "value": 5.115089514066496, "unit": "A" } ], "explanation": "The estimated single-phase motor current is 5.11509 amperes." }, "display": "Current: 5.115089514066496 A" }, "expected": { "value": { "currentA": 5.1151 }, "display": "Current: 5.1151 A", "source": "packages/calculator-core/tests/motor-current.test.ts" }, "tolerance": 0.0005, "pass": true }, { "calculatorId": "motor-current", "methodVersion": "motor-current-1ph@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "powerW": 1000, "voltageV": 230, "powerFactor": 0 } ], "units": { "powerW": "W electrical input", "voltageV": "V", "powerFactor": "ratio" }, "display": "Electrical input power: 1000 W electrical input; Voltage: 230 V; Power factor: 0 ratio" }, "output": { "returned": { "ok": false, "errors": [ "Power factor must be a finite number greater than 0 and at most 1." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Power factor must be a finite number greater than 0 and at most 1." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/motor-current.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "motor-current", "methodVersion": "motor-current-1ph@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "powerW": 746, "voltageV": 120, "powerFactor": 1 } ], "units": { "powerW": "W electrical input", "voltageV": "V", "powerFactor": "ratio" }, "display": "Electrical input power: 746 W electrical input; Voltage: 120 V; Power factor: 1 ratio" }, "output": { "returned": { "ok": true, "output": { "currentA": 6.216666666666667 }, "errors": [], "warnings": [], "steps": [ { "label": "Single-phase current", "expression": "746 W ÷ (120 V × 1) = 6.216667 A", "value": 6.216666666666667, "unit": "A" } ], "explanation": "The estimated single-phase motor current is 6.216667 amperes." }, "display": "Current: 6.216666666666667 A" }, "expected": { "value": { "currentA": 6.2167 }, "display": "Current: 6.2167 A", "source": "packages/calculator-core/tests/motor-current.test.ts" }, "tolerance": 0.0005, "pass": true } ], "takt-time": [ { "calculatorId": "takt-time", "methodVersion": "takt-time@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "availableMinutes": 480, "demandUnits": 240 } ], "units": { "availableMinutes": "min", "demandUnits": "units" }, "display": "Available time: 480 min; Demand: 240 units" }, "output": { "returned": { "ok": true, "output": { "taktMinutes": 2, "taktSeconds": 120 }, "errors": [], "warnings": [], "steps": [ { "label": "Takt time", "expression": "480 min ÷ 240 units = 2 min/unit", "value": 2, "unit": "min/unit" }, { "label": "Takt time in seconds", "expression": "2 min/unit × 60 = 120 s/unit", "value": 120, "unit": "s/unit" } ], "explanation": "The target production pace is one unit every 2 minutes, or 120 seconds." }, "display": "Takt time: 2 min/unit; Takt time: 120 s/unit" }, "expected": { "value": { "taktMinutes": 2, "taktSeconds": 120 }, "display": "Takt time: 2 min/unit; Takt time: 120 s/unit", "source": "packages/calculator-core/tests/takt-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "takt-time", "methodVersion": "takt-time@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "availableMinutes": 0.5, "demandUnits": 1 } ], "units": { "availableMinutes": "min", "demandUnits": "units" }, "display": "Available time: 0.5 min; Demand: 1 units" }, "output": { "returned": { "ok": true, "output": { "taktMinutes": 0.5, "taktSeconds": 30 }, "errors": [], "warnings": [], "steps": [ { "label": "Takt time", "expression": "0.5 min ÷ 1 units = 0.5 min/unit", "value": 0.5, "unit": "min/unit" }, { "label": "Takt time in seconds", "expression": "0.5 min/unit × 60 = 30 s/unit", "value": 30, "unit": "s/unit" } ], "explanation": "The target production pace is one unit every 0.5 minutes, or 30 seconds." }, "display": "Takt time: 0.5 min/unit; Takt time: 30 s/unit" }, "expected": { "value": { "taktMinutes": 0.5, "taktSeconds": 30 }, "display": "Takt time: 0.5 min/unit; Takt time: 30 s/unit", "source": "packages/calculator-core/tests/takt-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "takt-time", "methodVersion": "takt-time@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "availableMinutes": 450, "demandUnits": 300 } ], "units": { "availableMinutes": "min", "demandUnits": "units" }, "display": "Available time: 450 min; Demand: 300 units" }, "output": { "returned": { "ok": true, "output": { "taktMinutes": 1.5, "taktSeconds": 90 }, "errors": [], "warnings": [], "steps": [ { "label": "Takt time", "expression": "450 min ÷ 300 units = 1.5 min/unit", "value": 1.5, "unit": "min/unit" }, { "label": "Takt time in seconds", "expression": "1.5 min/unit × 60 = 90 s/unit", "value": 90, "unit": "s/unit" } ], "explanation": "The target production pace is one unit every 1.5 minutes, or 90 seconds." }, "display": "Takt time: 1.5 min/unit; Takt time: 90 s/unit" }, "expected": { "value": { "taktMinutes": 1.5, "taktSeconds": 90 }, "display": "Takt time: 1.5 min/unit; Takt time: 90 s/unit", "source": "packages/calculator-core/tests/takt-time.test.ts" }, "tolerance": 1e-10, "pass": true } ], "scrap-rate": [ { "calculatorId": "scrap-rate", "methodVersion": "scrap-rate@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "scrapUnits": 18, "totalUnits": 600 } ], "units": { "scrapUnits": "units", "totalUnits": "units" }, "display": "Scrap units: 18 units; Total units: 600 units" }, "output": { "returned": { "ok": true, "output": { "scrapRatePercent": 3, "goodUnits": 582 }, "errors": [], "warnings": [], "steps": [ { "label": "Scrap rate", "expression": "(18 ÷ 600) × 100 = 3%", "value": 3, "unit": "%" }, { "label": "Non-scrap units", "expression": "600 − 18 = 582", "value": 582, "unit": "units" } ], "explanation": "3% of total units are scrap, leaving 582 non-scrap units." }, "display": "Scrap rate: 3 %; Non-scrap units: 582 units" }, "expected": { "value": { "scrapRatePercent": 3, "goodUnits": 582 }, "display": "Scrap rate: 3 %; Non-scrap units: 582 units", "source": "packages/calculator-core/tests/scrap-rate.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "scrap-rate", "methodVersion": "scrap-rate@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "scrapUnits": 0, "totalUnits": 600 } ], "units": { "scrapUnits": "units", "totalUnits": "units" }, "display": "Scrap units: 0 units; Total units: 600 units" }, "output": { "returned": { "ok": true, "output": { "scrapRatePercent": 0, "goodUnits": 600 }, "errors": [], "warnings": [], "steps": [ { "label": "Scrap rate", "expression": "(0 ÷ 600) × 100 = 0%", "value": 0, "unit": "%" }, { "label": "Non-scrap units", "expression": "600 − 0 = 600", "value": 600, "unit": "units" } ], "explanation": "0% of total units are scrap, leaving 600 non-scrap units." }, "display": "Scrap rate: 0 %; Non-scrap units: 600 units" }, "expected": { "value": { "scrapRatePercent": 0, "goodUnits": 600 }, "display": "Scrap rate: 0 %; Non-scrap units: 600 units", "source": "packages/calculator-core/tests/scrap-rate.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "scrap-rate", "methodVersion": "scrap-rate@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "scrapUnits": 5, "totalUnits": 100 } ], "units": { "scrapUnits": "units", "totalUnits": "units" }, "display": "Scrap units: 5 units; Total units: 100 units" }, "output": { "returned": { "ok": true, "output": { "scrapRatePercent": 5, "goodUnits": 95 }, "errors": [], "warnings": [], "steps": [ { "label": "Scrap rate", "expression": "(5 ÷ 100) × 100 = 5%", "value": 5, "unit": "%" }, { "label": "Non-scrap units", "expression": "100 − 5 = 95", "value": 95, "unit": "units" } ], "explanation": "5% of total units are scrap, leaving 95 non-scrap units." }, "display": "Scrap rate: 5 %; Non-scrap units: 95 units" }, "expected": { "value": { "scrapRatePercent": 5, "goodUnits": 95 }, "display": "Scrap rate: 5 %; Non-scrap units: 95 units", "source": "packages/calculator-core/tests/scrap-rate.test.ts" }, "tolerance": 1e-10, "pass": true } ], "oee": [ { "calculatorId": "oee", "methodVersion": "oee@1.0.0", "runAt": "2026-10-29T06:04:06.926Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "availabilityPercent": 90, "performancePercent": 95, "qualityPercent": 99 } ], "units": { "availabilityPercent": "%", "performancePercent": "%", "qualityPercent": "%" }, "display": "Availability: 90 %; Performance: 95 %; Quality: 99 %" }, "output": { "returned": { "ok": true, "output": { "oeePercent": 84.645 }, "errors": [], "warnings": [], "steps": [ { "label": "Overall equipment effectiveness", "expression": "(90 ÷ 100) × (95 ÷ 100) × (99 ÷ 100) × 100 = 84.645%", "value": 84.645, "unit": "%" } ], "explanation": "The overall equipment effectiveness is 84.645%." }, "display": "OEE: 84.645 %" }, "expected": { "value": { "oeePercent": 84.645 }, "display": "OEE: 84.645 %", "source": "packages/calculator-core/tests/oee.test.ts" }, "tolerance": 0.0005, "pass": true }, { "calculatorId": "oee", "methodVersion": "oee@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "availabilityPercent": 0, "performancePercent": 100, "qualityPercent": 100 } ], "units": { "availabilityPercent": "%", "performancePercent": "%", "qualityPercent": "%" }, "display": "Availability: 0 %; Performance: 100 %; Quality: 100 %" }, "output": { "returned": { "ok": true, "output": { "oeePercent": 0 }, "errors": [], "warnings": [], "steps": [ { "label": "Overall equipment effectiveness", "expression": "(0 ÷ 100) × (100 ÷ 100) × (100 ÷ 100) × 100 = 0%", "value": 0, "unit": "%" } ], "explanation": "The overall equipment effectiveness is 0%." }, "display": "OEE: 0 %" }, "expected": { "value": { "oeePercent": 0 }, "display": "OEE: 0 %", "source": "packages/calculator-core/tests/oee.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "oee", "methodVersion": "oee@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "availabilityPercent": 80, "performancePercent": 90, "qualityPercent": 95 } ], "units": { "availabilityPercent": "%", "performancePercent": "%", "qualityPercent": "%" }, "display": "Availability: 80 %; Performance: 90 %; Quality: 95 %" }, "output": { "returned": { "ok": true, "output": { "oeePercent": 68.4 }, "errors": [], "warnings": [], "steps": [ { "label": "Overall equipment effectiveness", "expression": "(80 ÷ 100) × (90 ÷ 100) × (95 ÷ 100) × 100 = 68.4%", "value": 68.4, "unit": "%" } ], "explanation": "The overall equipment effectiveness is 68.4%." }, "display": "OEE: 68.4 %" }, "expected": { "value": { "oeePercent": 68.4 }, "display": "OEE: 68.4 %", "source": "packages/calculator-core/tests/oee.test.ts" }, "tolerance": 1e-10, "pass": true } ], "subtract-time": [ { "calculatorId": "subtract-time", "methodVersion": "subtract-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "startTime": "11:30", "subHours": 2, "subMinutes": 30 } ], "units": { "startTime": "HH:MM (24-hour clock)", "subHours": "h", "subMinutes": "min" }, "display": "Start time: 11:30 HH:MM (24-hour clock); Hours subtracted: 2 h; Minutes subtracted: 30 min" }, "output": { "returned": { "ok": true, "output": { "resultTime": "09:00" }, "errors": [], "warnings": [], "steps": [ { "label": "Time after subtraction", "expression": "11:30 - 2 hours - 30 minutes = 09:00", "value": 540, "unit": "minute of day" } ], "explanation": "The resulting 24-hour time is 09:00." }, "display": "Result time: 09:00 HH:MM" }, "expected": { "value": { "resultTime": "09:00" }, "display": "Result time: 09:00 HH:MM", "source": "packages/calculator-core/tests/subtract-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "subtract-time", "methodVersion": "subtract-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "startTime": "01:00", "subHours": 2, "subMinutes": 0 } ], "units": { "startTime": "HH:MM (24-hour clock)", "subHours": "h", "subMinutes": "min" }, "display": "Start time: 01:00 HH:MM (24-hour clock); Hours subtracted: 2 h; Minutes subtracted: 0 min" }, "output": { "returned": { "ok": true, "output": { "resultTime": "23:00" }, "errors": [], "warnings": [], "steps": [ { "label": "Time after subtraction", "expression": "01:00 - 2 hours - 0 minutes = 23:00", "value": 1380, "unit": "minute of day" } ], "explanation": "The resulting 24-hour time is 23:00." }, "display": "Result time: 23:00 HH:MM" }, "expected": { "value": { "resultTime": "23:00" }, "display": "Result time: 23:00 HH:MM", "source": "packages/calculator-core/tests/subtract-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "subtract-time", "methodVersion": "subtract-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "startTime": "11:30", "subHours": 1, "subMinutes": 0 } ], "units": { "startTime": "HH:MM (24-hour clock)", "subHours": "h", "subMinutes": "min" }, "display": "Start time: 11:30 HH:MM (24-hour clock); Hours subtracted: 1 h; Minutes subtracted: 0 min" }, "output": { "returned": { "ok": true, "output": { "resultTime": "10:30" }, "errors": [], "warnings": [], "steps": [ { "label": "Time after subtraction", "expression": "11:30 - 1 hours - 0 minutes = 10:30", "value": 630, "unit": "minute of day" } ], "explanation": "The resulting 24-hour time is 10:30." }, "display": "Result time: 10:30 HH:MM" }, "expected": { "value": { "resultTime": "10:30" }, "display": "Result time: 10:30 HH:MM", "source": "Hand arithmetic: 11:30 − 1 h = 10:30." }, "tolerance": 0, "pass": true } ], "material-yield": [ { "calculatorId": "material-yield", "methodVersion": "material-yield@1.0.1", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "goodUnits": 90, "inputUnits": 100 } ], "units": { "goodUnits": "units", "inputUnits": "units" }, "display": "Good units: 90 units; Input units: 100 units" }, "output": { "returned": { "ok": true, "output": { "yieldPercent": 90, "scrapUnits": 10 }, "errors": [], "warnings": [], "steps": [ { "label": "Material yield", "expression": "90 ÷ 100 × 100 = 90", "value": 90, "unit": "%" }, { "label": "Non-good units", "expression": "100 - 90 = 10", "value": 10, "unit": "units" } ], "explanation": "90% of input units are good, leaving 10 non-good units (which may include rework, scrap or unclassified units)." }, "display": "Yield: 90 %; Non-good units: 10 units" }, "expected": { "value": { "yieldPercent": 90, "scrapUnits": 10 }, "display": "Yield: 90 %; Non-good units: 10 units", "source": "packages/calculator-core/tests/material-yield.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "material-yield", "methodVersion": "material-yield@1.0.1", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "goodUnits": 50, "inputUnits": 50 } ], "units": { "goodUnits": "units", "inputUnits": "units" }, "display": "Good units: 50 units; Input units: 50 units" }, "output": { "returned": { "ok": true, "output": { "yieldPercent": 100, "scrapUnits": 0 }, "errors": [], "warnings": [], "steps": [ { "label": "Material yield", "expression": "50 ÷ 50 × 100 = 100", "value": 100, "unit": "%" }, { "label": "Non-good units", "expression": "50 - 50 = 0", "value": 0, "unit": "units" } ], "explanation": "100% of input units are good, leaving 0 non-good units (which may include rework, scrap or unclassified units)." }, "display": "Yield: 100 %; Non-good units: 0 units" }, "expected": { "value": { "yieldPercent": 100, "scrapUnits": 0 }, "display": "Yield: 100 %; Non-good units: 0 units", "source": "packages/calculator-core/tests/material-yield.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "material-yield", "methodVersion": "material-yield@1.0.1", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "goodUnits": 80, "inputUnits": 100 } ], "units": { "goodUnits": "units", "inputUnits": "units" }, "display": "Good units: 80 units; Input units: 100 units" }, "output": { "returned": { "ok": true, "output": { "yieldPercent": 80, "scrapUnits": 20 }, "errors": [], "warnings": [], "steps": [ { "label": "Material yield", "expression": "80 ÷ 100 × 100 = 80", "value": 80, "unit": "%" }, { "label": "Non-good units", "expression": "100 - 80 = 20", "value": 20, "unit": "units" } ], "explanation": "80% of input units are good, leaving 20 non-good units (which may include rework, scrap or unclassified units)." }, "display": "Yield: 80 %; Non-good units: 20 units" }, "expected": { "value": { "yieldPercent": 80, "scrapUnits": 20 }, "display": "Yield: 80 %; Non-good units: 20 units", "source": "Hand arithmetic: 80/100 × 100 = 80%; 100 − 80 = 20 non-good units." }, "tolerance": 0, "pass": true } ], "production-cycle-time": [ { "calculatorId": "production-cycle-time", "methodVersion": "production-cycle-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "totalMinutes": 480, "unitsProduced": 240 } ], "units": { "totalMinutes": "min", "unitsProduced": "units" }, "display": "Production time: 480 min; Units produced: 240 units" }, "output": { "returned": { "ok": true, "output": { "cycleMinutes": 2, "cycleSeconds": 120 }, "errors": [], "warnings": [], "steps": [ { "label": "Cycle time in minutes", "expression": "480 ÷ 240 = 2", "value": 2, "unit": "min/unit" }, { "label": "Cycle time in seconds", "expression": "2 × 60 = 120", "value": 120, "unit": "s/unit" } ], "explanation": "Each unit takes 2 minutes, or 120 seconds, on average." }, "display": "Cycle time: 2 min/unit; Cycle time: 120 s/unit" }, "expected": { "value": { "cycleMinutes": 2, "cycleSeconds": 120 }, "display": "Cycle time: 2 min/unit; Cycle time: 120 s/unit", "source": "packages/calculator-core/tests/production-cycle-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "production-cycle-time", "methodVersion": "production-cycle-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "totalMinutes": 480, "unitsProduced": 0 } ], "units": { "totalMinutes": "min", "unitsProduced": "units" }, "display": "Production time: 480 min; Units produced: 0 units" }, "output": { "returned": { "ok": false, "errors": [ "Units produced must be a positive integer." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Units produced must be a positive integer." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/production-cycle-time.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "production-cycle-time", "methodVersion": "production-cycle-time@1.0.0", "runAt": "2026-10-29T06:04:06.927Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "totalMinutes": 480, "unitsProduced": 120 } ], "units": { "totalMinutes": "min", "unitsProduced": "units" }, "display": "Production time: 480 min; Units produced: 120 units" }, "output": { "returned": { "ok": true, "output": { "cycleMinutes": 4, "cycleSeconds": 240 }, "errors": [], "warnings": [], "steps": [ { "label": "Cycle time in minutes", "expression": "480 ÷ 120 = 4", "value": 4, "unit": "min/unit" }, { "label": "Cycle time in seconds", "expression": "4 × 60 = 240", "value": 240, "unit": "s/unit" } ], "explanation": "Each unit takes 4 minutes, or 240 seconds, on average." }, "display": "Cycle time: 4 min/unit; Cycle time: 240 s/unit" }, "expected": { "value": { "cycleMinutes": 4, "cycleSeconds": 240 }, "display": "Cycle time: 4 min/unit; Cycle time: 240 s/unit", "source": "Hand arithmetic: 480/120 = 4 min/unit; 4 × 60 = 240 s/unit." }, "tolerance": 0, "pass": true } ], "energy-converter": [ { "calculatorId": "energy-converter", "methodVersion": "energy-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "kWh", "to": "kJ" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 kWh; From unit: kWh; To unit: kJ" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 3600, "base": 3600000, "from": "kWh", "to": "kJ" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 kWh → J", "value": 3600000, "unit": "J" }, { "label": "Convert to target unit", "expression": "3,600,000 J → kJ", "value": 3600, "unit": "kJ" } ], "explanation": "1 kWh equals 3,600 kJ." }, "display": "Value: 3600 kJ" }, "expected": { "value": { "value": 3600 }, "display": "Value: 3600 kJ", "source": "packages/calculator-core/tests/energy-converter.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "energy-converter", "methodVersion": "energy-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "kWh", "to": "kJ" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 kWh; From unit: kWh; To unit: kJ" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "kWh", "to": "kJ" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 kWh → J", "value": 0, "unit": "J" }, { "label": "Convert to target unit", "expression": "0 J → kJ", "value": 0, "unit": "kJ" } ], "explanation": "0 kWh equals 0 kJ." }, "display": "Value: 0 kJ" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 kJ", "source": "Hand arithmetic: 0 kWh × the finite conversion factor = 0 kJ." }, "tolerance": 0, "pass": true }, { "calculatorId": "energy-converter", "methodVersion": "energy-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "BTU", "to": "J" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 BTU; From unit: BTU; To unit: J" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1055.05585262, "base": 1055.05585262, "from": "BTU", "to": "J" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 BTU → J", "value": 1055.05585262, "unit": "J" }, { "label": "Convert to target unit", "expression": "1,055.055853 J → J", "value": 1055.05585262, "unit": "J" } ], "explanation": "1 BTU equals 1,055.055853 J." }, "display": "Value: 1055.05585262 J" }, "expected": { "value": { "value": 1055.05585262 }, "display": "Value: 1055.05585262 J", "source": "packages/calculator-core/tests/energy-converter.test.ts" }, "tolerance": 5e-7, "pass": true } ], "power-converter": [ { "calculatorId": "power-converter", "methodVersion": "power-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "hp", "to": "W" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 hp; From unit: hp; To unit: W" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 745.6998715822702, "base": 745.6998715822702, "from": "hp", "to": "W" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 hp → W", "value": 745.6998715822702, "unit": "W" }, { "label": "Convert to target unit", "expression": "745.699872 W → W", "value": 745.6998715822702, "unit": "W" } ], "explanation": "1 hp equals 745.699872 W." }, "display": "Value: 745.6998715822702 W" }, "expected": { "value": { "value": 745.6998715822702 }, "display": "Value: 745.6998715822702 W", "source": "packages/calculator-core/tests/power-converter.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "power-converter", "methodVersion": "power-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "hp", "to": "W" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 hp; From unit: hp; To unit: W" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "hp", "to": "W" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 hp → W", "value": 0, "unit": "W" }, { "label": "Convert to target unit", "expression": "0 W → W", "value": 0, "unit": "W" } ], "explanation": "0 hp equals 0 W." }, "display": "Value: 0 W" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 W", "source": "Hand arithmetic: 0 hp × the finite conversion factor = 0 W." }, "tolerance": 0, "pass": true }, { "calculatorId": "power-converter", "methodVersion": "power-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "kW", "to": "W" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 kW; From unit: kW; To unit: W" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1000, "base": 1000, "from": "kW", "to": "W" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 kW → W", "value": 1000, "unit": "W" }, { "label": "Convert to target unit", "expression": "1,000 W → W", "value": 1000, "unit": "W" } ], "explanation": "1 kW equals 1,000 W." }, "display": "Value: 1000 W" }, "expected": { "value": { "value": 1000 }, "display": "Value: 1000 W", "source": "packages/calculator-core/tests/power-converter.test.ts" }, "tolerance": 5e-7, "pass": true } ], "force-converter": [ { "calculatorId": "force-converter", "methodVersion": "force-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "kgf", "to": "N" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 kgf; From unit: kgf; To unit: N" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 9.80665, "base": 9.80665, "from": "kgf", "to": "N" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 kgf → N", "value": 9.80665, "unit": "N" }, { "label": "Convert to target unit", "expression": "9.80665 N → N", "value": 9.80665, "unit": "N" } ], "explanation": "1 kgf equals 9.80665 N." }, "display": "Value: 9.80665 N" }, "expected": { "value": { "value": 9.80665 }, "display": "Value: 9.80665 N", "source": "packages/calculator-core/tests/force-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "force-converter", "methodVersion": "force-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "kgf", "to": "N" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 kgf; From unit: kgf; To unit: N" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "kgf", "to": "N" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 kgf → N", "value": 0, "unit": "N" }, { "label": "Convert to target unit", "expression": "0 N → N", "value": 0, "unit": "N" } ], "explanation": "0 kgf equals 0 N." }, "display": "Value: 0 N" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 N", "source": "Hand arithmetic: 0 kgf × the finite conversion factor = 0 N." }, "tolerance": 0, "pass": true }, { "calculatorId": "force-converter", "methodVersion": "force-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "lbf", "to": "N" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 lbf; From unit: lbf; To unit: N" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 4.4482216152605, "base": 4.4482216152605, "from": "lbf", "to": "N" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 lbf → N", "value": 4.4482216152605, "unit": "N" }, { "label": "Convert to target unit", "expression": "4.448222 N → N", "value": 4.4482216152605, "unit": "N" } ], "explanation": "1 lbf equals 4.448222 N." }, "display": "Value: 4.4482216152605 N" }, "expected": { "value": { "value": 4.4482216152605 }, "display": "Value: 4.4482216152605 N", "source": "packages/calculator-core/tests/force-converter.test.ts" }, "tolerance": 1e-10, "pass": true } ], "angle-converter": [ { "calculatorId": "angle-converter", "methodVersion": "angle-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "turn", "to": "deg" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 turn; From unit: turn; To unit: °" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 360, "base": 6.283185307179586, "from": "turn", "to": "deg" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 turn → rad", "value": 6.283185307179586, "unit": "rad" }, { "label": "Convert to target unit", "expression": "6.283185 rad → deg", "value": 360, "unit": "deg" } ], "explanation": "1 turn equals 360 deg." }, "display": "Value: 360 °" }, "expected": { "value": { "value": 360 }, "display": "Value: 360 °", "source": "packages/calculator-core/tests/angle-converter.test.ts" }, "tolerance": 5e-10, "pass": true }, { "calculatorId": "angle-converter", "methodVersion": "angle-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "turn", "to": "deg" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 turn; From unit: turn; To unit: °" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "turn", "to": "deg" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 turn → rad", "value": 0, "unit": "rad" }, { "label": "Convert to target unit", "expression": "0 rad → deg", "value": 0, "unit": "deg" } ], "explanation": "0 turn equals 0 deg." }, "display": "Value: 0 °" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 °", "source": "Hand arithmetic: 0 turn × the finite conversion factor = 0 deg." }, "tolerance": 0, "pass": true }, { "calculatorId": "angle-converter", "methodVersion": "angle-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 60, "from": "arcmin", "to": "deg" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 60 arcminutes; From unit: arcminutes; To unit: °" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1, "base": 0.017453292519943295, "from": "arcmin", "to": "deg" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "60 arcmin → rad", "value": 0.017453292519943295, "unit": "rad" }, { "label": "Convert to target unit", "expression": "0.017453 rad → deg", "value": 1, "unit": "deg" } ], "explanation": "60 arcmin equals 1 deg." }, "display": "Value: 1 °" }, "expected": { "value": { "value": 1 }, "display": "Value: 1 °", "source": "packages/calculator-core/tests/angle-converter.test.ts" }, "tolerance": 5e-10, "pass": true } ], "frequency-converter": [ { "calculatorId": "frequency-converter", "methodVersion": "frequency-linear@1.0.1", "runAt": "2026-10-29T06:04:06.928Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "kHz", "to": "Hz" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 kHz; From unit: kHz; To unit: Hz" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1000, "base": 1000, "from": "kHz", "to": "Hz" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 kHz → Hz", "value": 1000, "unit": "Hz" }, { "label": "Convert to target unit", "expression": "1,000 Hz → Hz", "value": 1000, "unit": "Hz" } ], "explanation": "1 kHz equals 1,000 Hz." }, "display": "Value: 1000 Hz" }, "expected": { "value": { "value": 1000 }, "display": "Value: 1000 Hz", "source": "packages/calculator-core/tests/frequency-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "frequency-converter", "methodVersion": "frequency-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "kHz", "to": "Hz" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 kHz; From unit: kHz; To unit: Hz" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "kHz", "to": "Hz" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 kHz → Hz", "value": 0, "unit": "Hz" }, { "label": "Convert to target unit", "expression": "0 Hz → Hz", "value": 0, "unit": "Hz" } ], "explanation": "0 kHz equals 0 Hz." }, "display": "Value: 0 Hz" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 Hz", "source": "Hand arithmetic: 0 kHz × the finite conversion factor = 0 Hz." }, "tolerance": 0, "pass": true }, { "calculatorId": "frequency-converter", "methodVersion": "frequency-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "GHz", "to": "MHz" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 GHz; From unit: GHz; To unit: MHz" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1000, "base": 1000000000, "from": "GHz", "to": "MHz" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 GHz → Hz", "value": 1000000000, "unit": "Hz" }, { "label": "Convert to target unit", "expression": "1,000,000,000 Hz → MHz", "value": 1000, "unit": "MHz" } ], "explanation": "1 GHz equals 1,000 MHz." }, "display": "Value: 1000 MHz" }, "expected": { "value": { "value": 1000 }, "display": "Value: 1000 MHz", "source": "packages/calculator-core/tests/frequency-converter.test.ts" }, "tolerance": 1e-10, "pass": true } ], "acceleration-converter": [ { "calculatorId": "acceleration-converter", "methodVersion": "acceleration-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "g", "to": "mps2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 g; From unit: g; To unit: m/s²" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 9.80665, "base": 9.80665, "from": "g", "to": "mps2" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 g → m/s²", "value": 9.80665, "unit": "m/s²" }, { "label": "Convert to target unit", "expression": "9.80665 m/s² → mps2", "value": 9.80665, "unit": "mps2" } ], "explanation": "1 g equals 9.80665 mps2." }, "display": "Value: 9.80665 m/s²" }, "expected": { "value": { "value": 9.80665 }, "display": "Value: 9.80665 m/s²", "source": "packages/calculator-core/tests/acceleration-converter.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "acceleration-converter", "methodVersion": "acceleration-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "g", "to": "mps2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 g; From unit: g; To unit: m/s²" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "g", "to": "mps2" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 g → m/s²", "value": 0, "unit": "m/s²" }, { "label": "Convert to target unit", "expression": "0 m/s² → mps2", "value": 0, "unit": "mps2" } ], "explanation": "0 g equals 0 mps2." }, "display": "Value: 0 m/s²" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 m/s²", "source": "Hand arithmetic: 0 g × the finite conversion factor = 0 mps2." }, "tolerance": 0, "pass": true }, { "calculatorId": "acceleration-converter", "methodVersion": "acceleration-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "ftps2", "to": "mps2" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 ft/s²; From unit: ft/s²; To unit: m/s²" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0.3048, "base": 0.3048, "from": "ftps2", "to": "mps2" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 ftps2 → m/s²", "value": 0.3048, "unit": "m/s²" }, { "label": "Convert to target unit", "expression": "0.3048 m/s² → mps2", "value": 0.3048, "unit": "mps2" } ], "explanation": "1 ftps2 equals 0.3048 mps2." }, "display": "Value: 0.3048 m/s²" }, "expected": { "value": { "value": 0.3048 }, "display": "Value: 0.3048 m/s²", "source": "packages/calculator-core/tests/acceleration-converter.test.ts" }, "tolerance": 1e-10, "pass": true } ], "density-converter": [ { "calculatorId": "density-converter", "methodVersion": "density-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "value": 1, "from": "gcm3", "to": "kgm3" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 g/cm³; From unit: g/cm³; To unit: kg/m³" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 1000, "base": 1000, "from": "gcm3", "to": "kgm3" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 gcm3 → kg/m³", "value": 1000, "unit": "kg/m³" }, { "label": "Convert to target unit", "expression": "1,000 kg/m³ → kgm3", "value": 1000, "unit": "kgm3" } ], "explanation": "1 gcm3 equals 1,000 kgm3." }, "display": "Value: 1000 kg/m³" }, "expected": { "value": { "value": 1000 }, "display": "Value: 1000 kg/m³", "source": "packages/calculator-core/tests/density-converter.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "density-converter", "methodVersion": "density-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "value": 0, "from": "gcm3", "to": "kgm3" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 0 g/cm³; From unit: g/cm³; To unit: kg/m³" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 0, "base": 0, "from": "gcm3", "to": "kgm3" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "0 gcm3 → kg/m³", "value": 0, "unit": "kg/m³" }, { "label": "Convert to target unit", "expression": "0 kg/m³ → kgm3", "value": 0, "unit": "kgm3" } ], "explanation": "0 gcm3 equals 0 kgm3." }, "display": "Value: 0 kg/m³" }, "expected": { "value": { "value": 0 }, "display": "Value: 0 kg/m³", "source": "Hand arithmetic: 0 gcm3 × the finite conversion factor = 0 kgm3." }, "tolerance": 0, "pass": true }, { "calculatorId": "density-converter", "methodVersion": "density-linear@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "value": 1, "from": "lbft3", "to": "kgm3" } ], "units": { "value": "from unit", "from": "source unit", "to": "target unit" }, "display": "Value: 1 lb/ft³; From unit: lb/ft³; To unit: kg/m³" }, "output": { "returned": { "ok": true, "errors": [], "output": { "value": 16.018463373960138, "base": 16.018463373960138, "from": "lbft3", "to": "kgm3" }, "warnings": [], "steps": [ { "label": "Normalise to base unit", "expression": "1 lbft3 → kg/m³", "value": 16.018463373960138, "unit": "kg/m³" }, { "label": "Convert to target unit", "expression": "16.018463 kg/m³ → kgm3", "value": 16.018463373960138, "unit": "kgm3" } ], "explanation": "1 lbft3 equals 16.018463 kgm3." }, "display": "Value: 16.018463373960138 kg/m³" }, "expected": { "value": { "value": 16.018463373960138 }, "display": "Value: 16.018463373960138 kg/m³", "source": "packages/calculator-core/tests/density-converter.test.ts" }, "tolerance": 5e-7, "pass": true } ], "bmr": [ { "calculatorId": "bmr", "methodVersion": "mifflin-st-jeor@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "normal", "inputs": { "arguments": [ { "sex": "male", "weightKg": 80, "heightCm": 180, "ageYears": 30 } ], "units": { "sex": "equation coefficient selection", "weightKg": "kg", "heightCm": "cm", "ageYears": "years" }, "display": "Equation selection: male equation coefficient selection; Weight: 80 kg; Height: 180 cm; Age: 30 years" }, "output": { "returned": { "ok": true, "output": { "bmrKcal": 1780 }, "errors": [], "warnings": [], "steps": [ { "label": "Mifflin-St Jeor", "expression": "10×80 + 6.25×180 − 5×30 + 5 = 1,780", "value": 1780, "unit": "kcal/day" } ], "explanation": "Predicted resting energy expenditure (Mifflin–St Jeor) is 1,780 kcal per day at rest." }, "display": "Predicted resting energy expenditure: 1780 kcal/day" }, "expected": { "value": { "bmrKcal": 1780 }, "display": "Predicted resting energy expenditure: 1780 kcal/day", "source": "packages/calculator-core/tests/bmr.test.ts" }, "tolerance": 5e-7, "pass": true }, { "calculatorId": "bmr", "methodVersion": "mifflin-st-jeor@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "boundary", "inputs": { "arguments": [ { "sex": "male", "weightKg": 0, "heightCm": 180, "ageYears": 30 } ], "units": { "sex": "equation coefficient selection", "weightKg": "kg", "heightCm": "cm", "ageYears": "years" }, "display": "Equation selection: male equation coefficient selection; Weight: 0 kg; Height: 180 cm; Age: 30 years" }, "output": { "returned": { "ok": false, "errors": [ "Weight must be 20–350 kg: this tool excludes extreme or likely mistyped adult measurements." ], "warnings": [], "steps": [], "explanation": "" }, "display": "Rejected: Weight must be 20–350 kg: this tool excludes extreme or likely mistyped adult measurements." }, "expected": { "value": { "ok": false }, "display": "Rejected", "source": "packages/calculator-core/tests/bmr.test.ts" }, "tolerance": 1e-10, "pass": true }, { "calculatorId": "bmr", "methodVersion": "mifflin-st-jeor@1.0.1", "runAt": "2026-10-29T06:04:06.929Z", "buildRevision": "24533ff", "kind": "sensitivity", "inputs": { "arguments": [ { "sex": "female", "weightKg": 80, "heightCm": 180, "ageYears": 30 } ], "units": { "sex": "equation coefficient selection", "weightKg": "kg", "heightCm": "cm", "ageYears": "years" }, "display": "Equation selection: female equation coefficient selection; Weight: 80 kg; Height: 180 cm; Age: 30 years" }, "output": { "returned": { "ok": true, "output": { "bmrKcal": 1614 }, "errors": [], "warnings": [], "steps": [ { "label": "Mifflin-St Jeor", "expression": "10×80 + 6.25×180 − 5×30 − 161 = 1,614", "value": 1614, "unit": "kcal/day" } ], "explanation": "Predicted resting energy expenditure (Mifflin–St Jeor) is 1,614 kcal per day at rest." }, "display": "Predicted resting energy expenditure: 1614 kcal/day" }, "expected": { "value": { "bmrKcal": 1614 }, "display": "Predicted resting energy expenditure: 1614 kcal/day", "source": "packages/calculator-core/tests/bmr.test.ts" }, "tolerance": 5e-7, "pass": true } ] }