Description
Generate fictional radius and temperature profiles with delegated spherical blackbody luminosity and wavelength-radiance peak.
A physical-model fixture draws inputs under explicit units and delegates a stated idealized calculation. Computed values follow that model; they are separate from measurements, calibration, and environmental effects omitted by the assumptions.
Generate fictional radius and temperature profiles with delegated spherical blackbody luminosity and wavelength-radiance peak.
When to use this tool
Use this generator to create reproducible fictional star profile set cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.
How to use the tool and how it works
- Supply count, radiusMeters, temperatureKelvin in the field shapes below. Set seed when you need an explicit replay.
- Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
- Read stars. Use the conventions below. Keep answer-bearing fields separate when presenting an exercise.
Draw stellar radii in meters and temperatures in kelvin, then delegate blackbody luminosity in watts and the wavelength-radiance peak in nanometers. Return the sampled physical inputs beside both calculated outputs.1
Delegated operations used for this result: stefan boltzmann luminosity; wien peak wavelength. Their calculation or parsing conventions apply to the corresponding result fields.2, 3
| Input field | Meaning and units | Accepted input |
|---|---|---|
| count | Count | Required. Safe integer; minimum 1; maximum 128. |
| radiusMeters | Radius Meters | Required. Object; no unknown keys. |
| radiusMeters.minimum | Minimum | Required. Finite number; strictly above 0. |
| radiusMeters.maximum | Maximum | Required. Finite number; strictly above 0. |
| temperatureKelvin | Temperature Kelvin | Required. Object; no unknown keys. |
| temperatureKelvin.minimum | Minimum | Required. Finite number; strictly above 0. |
| temperatureKelvin.maximum | Maximum | Required. Finite number; strictly above 0. |
| seed | Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed. | Optional. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| stars | Stars | Required. Array of Object; no unknown keys.; minimum items 1; maximum items 128. |
| stars[].id | Literal identifier used independently of display labels. | Required. Safe integer; minimum 0; maximum 127. |
| stars[].radiusMeters | Radius Meters | Required. Finite number; strictly above 0. |
| stars[].temperatureKelvin | Temperature Kelvin | Required. Finite number; strictly above 0. |
| stars[].blackbodyLuminosityWatts | Blackbody Luminosity Watts | Required. Finite number; strictly above 0. |
| stars[].wavelengthRadiancePeakNm | Wavelength Radiance Peak Nm | Required. Finite number; strictly above 0. |
| randomness | Replay source and normalized 32-bit seed, or null seed for an advancing context source. | Required. Object; no unknown keys. |
| randomness.seed | Optional safe-integer replay seed; normalization and precedence are explained below. | Required. Safe integer. or Null. |
| randomness.source | Source | Required. Text; one of "context", "seed". |
An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.
{
"input": {
"count": 1,
"radiusMeters": {
"minimum": 500000000,
"maximum": 800000000
},
"temperatureKelvin": {
"minimum": 4000,
"maximum": 7000
},
"seed": 42
},
"output": {
"stars": [
{
"id": 0,
"radiusMeters": 680331125.5760491,
"temperatureKelvin": 5344.871676992625,
"blackbodyLuminosityWatts": 2.6916055392485458e+26,
"wavelengthRadiancePeakNm": 542.1593127246932
}
],
"randomness": {
"seed": 42,
"source": "seed"
}
}
} Limitations and assumptions
- This is an ideal blackbody profile, not a stellar-evolution or atmosphere model. Wavelength and frequency spectral peaks are different conventions. Positive finite results are required; the stars are fictional.
- A replay requires the same complete input and implementation. The stated sampling convention applies within its eligible space. A finite draw does not exhaust all possible outputs; repeats remain possible unless a distinct-selection rule is explicit.
- The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.
Alternative or Complementary methods
For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.
References
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