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Math & AlgebraGenerated accuracy model review: 2026-05-06

Distance Calculator accuracy and testing

This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.

Formula source

  • The distance formula is derived from the Pythagorean Theorem ($a^2 + b^2 = c^2$). **2D Formula:** $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ **3D Formula:** $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$

Test cases

Default input regression check

Generated from the checked-in default inputs and calculate function.

Inputs

  • Dimensions: 2D (x,y)
  • x1: 0
  • y1: 0
  • z1: 0
  • x2: 3
  • y2: 4
  • z2: 0

Expected outputs

  • Distance: 5

Known limitations

  • This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
  • Use the result as a planning estimate unless the calculator page states a stricter purpose.

Assumptions

  • Coordinates are interpreted in the same unit system across every axis.
  • This calculator returns straight-line Euclidean distance, not travel distance along roads or paths.
  • In 2D mode, z-values are ignored.

Unit handling

  • Dimensions accepts one of the configured options.
  • x1 accepts numeric values.
  • y1 accepts numeric values.
  • z1 accepts numeric values.
  • x2 accepts numeric values.
  • y2 accepts numeric values.
  • z2 accepts numeric values.

Rounding rules

  • Number displays use up to 2 decimal places in the calculator UI.

Version history

1.0.0 - 2026-05-06

Generated accuracy and testing page from the current distance-calculator calculator definition.

Change log

2026-05-06

Published default regression test documentation and metadata fallbacks for Distance Calculator.

Calculator transparency

Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.

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