Normalized Position Between Two Anchors Tool

Description

Require distinct anchors and return (coordinate-firstAnchor)/(secondAnchor-firstAnchor).

Linear interpolation blends endpoint values by a normalized coordinate. Its value weights, inverse slope, and sensitivities to moving nodes answer different questions and use different units.

Require distinct anchors and return (coordinate-firstAnchor)/(secondAnchor-firstAnchor).

When to use this tool

Use Normalized Position Between Two Anchors when you need one explicitly defined linear interpolation term.

How to use the tool and how it works

Enter coordinate, firstAnchor, secondAnchor. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read position. Use the output convention below.

Require distinct anchors and return (coordinate-firstAnchor)/(secondAnchor-firstAnchor).^[1]

Input field	Meaning and units	Accepted input
coordinate	Coordinate	Required. Finite number.
firstAnchor	First Anchor	Required. Finite number.
secondAnchor	Second Anchor	Required. Finite number.

Output field	Interpretation	Returned shape
position	Position in the explicitly stated coordinate system.	Required. Finite number.

json

{
  "input": {
    "coordinate": 15,
    "firstAnchor": 10,
    "secondAnchor": 30
  },
  "output": {
    "position": 0.25
  }
}

Limitations and assumptions

Reversed anchors and extrapolation outside [0, 1] are accepted; no clamping, uncertainty, or actual interpolant value is provided.
Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
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. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Validate endpoints and units and use a complete evaluator when clamping, extrapolation, or uncertainty propagation is required.

References

Calculation and input contract: distance/normalized-position-between-two-anchors — tool.io

Similar or alternative tools

Linear Bracket Local Coordinate
Require increasing nodes and query within them, then return (query-leftNode)/(rightNode-leftNode).
Clipped Minmax Scalar
Clamp value into that interval, normalize to (clamped-min)/(max-min), and flag clipped only for strict original outliers.