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Euclidean coordinate arithmetic — not GD&T acceptance

2D Coordinate-Deviation Geometry Check

Calculate signed X/Y offsets,radial offset,twice-radial diametral geometry and direction from documented two-dimensional coordinates. The result does not generate or interpret a feature-control frame.

r=hypot(Δx,Δy)D=2rNo ISO/ASME conformance decision

Required interpretation boundary: coordinates must already be expressed in the correct documented frame and use the same unit. This tool does not establish or simulate datums,extract a feature,apply MMR/LMR,projected/composite/profile requirements,uncertainty or any drawing default. D=2r is labelled a diametral geometry result only; it is not automatically a tolerance-zone result.

2D geometry result

Signed Δx
Signed Δy
Radial coordinate offset r
Diametral geometry D=2r
Direction from +X,CCW
Radial offset normalized
Diametral geometry normalized

Implemented arithmetic

Δx=xизмеренный−xbasic
Δy=yизмеренный−ybasic
r=√(Δx²+Δy²)=hypot(Δx,Δy)
D=2r
θ=atan2(Δy,Δx),normalized to0°≤θ<360°

OpenStax University Physics,Volume1 §2.2 gives vector magnitude √(x²+y²) and the direction-angle relationship. Unit conversions are exact:1in=25.4mm and1µm=0.001mm. D is simply twice the Euclidean radius; no standards-based meaning is inferred.

ISO GPS scope checked

ISO1101:2017,edition4,current/confirmed2022 defines the symbol language and interpretation rules for geometrical specification. ISO5459:2024,edition3 covers datums and datum systems and explicitly excludes verification operators. ISO2692:2021,edition4 defines MMR/LMR/RPR and limits their application to specified linear features of size;it is under systematic review in2026.

Do not mix standards

ASME Y14.5-2018(R2024) separately establishes ASME symbols,rules,definitions,requirements and defaults. ISO GPS and ASME callouts are not interchangeable. Their full texts are licensed;the former generic FCF generator,symbol table,modifier choices and inspection prescriptions were removed rather than reconstructed by guesswork.

No conformance decision

A valid geometrical conformance assessment can require datum establishment,feature association,zone modifiers,material requirements,filters,measurement strategy and uncertainty. Compare this arithmetic with a drawing only after those operations are defined and executed under the exact governing edition and contract.

©2024–2026 вибромера

Euclidean coordinate arithmetic only,not a GD&T callout generator or conformance calculation. Scientific review:July2026.

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