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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.