Monotonic Run Segmenter
Segment maximal weak-monotonic runs, sharing turning-point samples; flat steps retain the active direction and fully flat runs have direction zero.
Description
Segment maximal weak-monotonic runs, sharing turning-point samples; flat steps retain the active direction and fully flat runs have direction zero.
Monotonic runs group consecutive movement in one direction while allowing flat steps. A turning sample belongs to both neighboring runs so each change remains represented.
When to use this tool
Segment maximal weak-monotonic runs, sharing turning-point samples; flat steps retain the active direction and fully flat runs have direction zero.
- Prepare the supplied values fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter values. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.segments. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Track the last nonzero adjacent-difference sign. On a change of sign, close the current half-open segment and start the next at the previous sample. Return direction -1, 0 or 1 for each run.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| values | values. | List of finite numbers; bounded by the operation |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.segments | The segments list in the ordering and representation described above. |
{
"input": {
"values": [
1,
2,
3,
2
]
},
"output": {
"result": {
"segments": [
{
"start": 0,
"end": 3,
"direction": 1
},
{
"start": 2,
"end": 4,
"direction": -1
}
]
}
}
}Limitations and assumptions
- Adjacent runs can overlap by their turning point. Equal steps retain the current direction, and a fully flat list has direction zero; no noise tolerance is applied.
- Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
- Ordinary string lists have at most 128 entries of at most 128 code units each; numeric lists and matrices have separate bounded size checks. Nonfinite results and excessively large serialized outputs are rejected.
- Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.
Alternative or Complementary methods
Use explicit source-index maps when rearranging data or planning missing-value fills. Keep row-major coordinates, cyclic indexes and one-based occurrence numbers distinct, and inspect null donor positions before copying values.
References
Similar or alternative tools
- Alternating Sign Run Segmenter
Segment consecutive strictly alternating nonzero signs; zeros and equal adjacent signs break runs.
- Equal Value Run Boundary Indexes
Return half-open equal-value run boundaries, including empty input; equality is exact supplied-string equality.