Description
Map a unit progress into an in/out half’s local time and value affine parameters; caller separately evaluates the appropriate easing branch.
Easing maps normalized progress to a dimensionless curve value. A slope differentiates that curve with respect to progress, while delay remapping and ping-pong phases change the input coordinate. To turn progress into position or time-dependent velocity, supply the application’s distance scale and duration separately.
Map a unit progress into an in/out half’s local time and value affine parameters; caller separately evaluates the appropriate easing branch.
When to use this tool
Use this tool to map a unit progress into an in/out half’s local time and value affine parameters; caller separately evaluates the appropriate easing branch.
How to use the tool and how it works
- Enter t using the input definitions below.
- Run the operation. Resolve malformed-input errors before interpreting the result.
- Read result.half, result.localTime, result.valueScale, result.valueOffset. Interpret signs, units, ordering and null values using the rules below.
For t<1/2 return half=in, localTime=2t, valueScale=1/2 and valueOffset=0. Otherwise return half=out, localTime=2t−1 and valueOffset=1/2 with the same scale.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| t | Dimensionless normalized input from 0 through 1, except the explicitly described delay-remapping coordinate. | Finite number satisfying the stated comparisons. |
| Output field | Interpretation |
|---|---|
| result | Object containing the fields below. |
| result.half | Selected local branch: in or out. |
| result.localTime | Normalized time coordinate within the selected half. |
| result.valueScale | Multiplier 0.5 for the separately evaluated branch value. |
| result.valueOffset | Value offset 0 for the in half or 0.5 for the out half. |
{
"input": {
"t": 0.75
},
"output": {
"result": {
"half": "out",
"localTime": 0.5,
"valueScale": 0.5,
"valueOffset": 0.5
}
}
}Limitations and assumptions
- This provides branch coordinates only; evaluate the chosen branch separately and combine valueOffset + valueScale×branchValue.
- Curves ordinarily require normalized input t from 0 through 1; ping-pong and delay-remapping operations instead accept their explicitly stated progress coordinates. Floating-point roundoff remains possible.
- Every declared top-level input is required and unknown fields are rejected. Ordinary strings are limited to 8,192 UTF-16 code units and lists to 128 entries, with tighter operation-specific bounds where stated. JSON text has bounded nesting and node counts.
- Numeric outputs must be finite and within the absolute safe-integer magnitude; exact larger integers use decimal text. Source positions are zero-based UTF-16 offsets and span ends are exclusive unless a different convention is explicitly stated.
Alternative or Complementary methods
Choose the curve and parameter convention before combining operations. Use a scheduler or animation engine for playback, and apply the appropriate duration/distance factors when interpreting slopes physically.
References
Similar or alternative tools
- Unit Cubic In Out Easing Value
Evaluate Unit Cubic In Out Easing Value on the closed unit domain; deterministic numerical curve arithmetic without animation scheduling.
- Unit Easing Reversal Transform
Reverse supplied ordered unit easing samples in both time and value, preserving an ascending sample sequence; does not evaluate an unknown easing function.