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Signed Distance Axis Reflection Effect Tool

Compute signed distance axis reflection effect from explicit bounded inputs.

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Description

before = value-plane; after = plane-value, the signed coordinate difference after reflecting the value across the fixed plane coordinate.

A signed distance depends on a chosen normal or axis orientation. Projection parameters, perpendicular distances and reflected signs are different quantities; a nonunit direction introduces a scale into its parameter.

before = value-plane; after = plane-value, the signed coordinate difference after reflecting the value across the fixed plane coordinate.

When to use this tool

Use Signed Distance Axis Reflection Effect when checking a supplied projection, orientation or reflection convention.

How to use the tool and how it works

  1. Enter value, plane. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read before, after. Use the output convention below.

before = value-plane; after = plane-value, the signed coordinate difference after reflecting the value across the fixed plane coordinate.1

Input fieldMeaning and unitsAccepted input
valueValueRequired. Finite number.
planePlaneRequired. Finite number.
Output fieldInterpretationReturned shape
beforeBeforeRequired. Finite number.
afterAfterRequired. Finite number.
json
{
  "input": {
    "value": 5,
    "plane": 2
  },
  "output": {
    "before": 3,
    "after": -3
  }
}

Limitations and assumptions

  • This is one axis and a fixed reference location. It does not perform an arbitrary-dimensional plane reflection or calculate perpendicular distance from geometry.
  • 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

Use complete geometric objects and consistent units to compute actual distances, projections or multi-axis reflections.

References

  1. Calculation and input contract: distance/signed-distance-axis-reflection-effect — tool.io

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