Description
Clamp parameter to the interval with lower<upper.
A vector is an ordered set of components in a chosen basis. Its norm measures magnitude, while dot products, projections, and coordinate transformations describe different relationships. Component order, angle units, normalization, and numerical tolerances determine the meaning of a computed result.
Clamp parameter to the interval with lower<upper.
When to use this tool
Use Vector Projection Clamp Active Bound when you need the particular coordinate operation, derivative, residual, or domain check under a known basis convention.
How to use the tool and how it works
- Enter parameter, lower, upper. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read clamped, active. Use the output convention below.
Clamp parameter to the interval with lower<upper. Return active as lower when parameter<=lower, upper when parameter>=upper, and interior otherwise.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| parameter | Parameter | Required. Finite number. |
| lower | Lower | Required. Finite number. |
| upper | Upper | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| clamped | Clamped | Required. Finite number. |
| active | Active | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"parameter": 2,
"lower": 0,
"upper": 1
},
"output": {
"clamped": 1,
"active": "upper"
}
}Limitations and assumptions
- An exact boundary is labeled active even though its value needs no change. Bounds and parameter must describe one coordinate convention; no projection onto a geometric object is computed.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Choose a complete vector or matrix operation when a single component or residual is insufficient. For sensitive near-zero or near-singular cases, inspect numerical conditioning and use an appropriate precision and tolerance.
References
Similar or alternative tools
- Vector Component Quantization Error Bound
Calculate half-step coordinate error bounds and their Euclidean bound for a supplied quantization model.
- Vector: Vector Coordinate Clamp
Clamp each vector component to its explicitly supplied ordered per-axis bounds without fitting a normalization scale.