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Analysis: geodesic buffers - #429

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@giswqs giswqs commented Oct 17, 2026 •

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Root cause. Buffer drew each feature in Web Mercator and multiplied the distance by one scale factor, 1/cos of the feature's label-point latitude (merc_scale(feature_lat(g)) in crates/analysis/src/tools.rs). Web Mercator's scale changes with latitude, so the distance held only at that latitude and in the east-west direction: a 1000 km circle at 60°N reached 872 km north and 1142 km south, and a 50 km buffer of a line from 5°S to 33°S was 59.3 km wide at its northern end and 49.9 km at its southern end. Select Layer By Location's distance had the same code.

Fix.

  • rustgis-geom gains a spherical azimuthal equidistant projection (Aeqd, plain Rust trig, so it builds for wasm), geodesic_destination, geodesic_interpolate and spherical_centre.
  • New rustgis_analysis::geodesic::geodesic_buffer: each feature is buffered in an AEQD centred on it, where distances from the centre are true, then taken back to lon/lat. A point is exact. A line or polygon that stays within 150 km of its centre is buffered in one piece (error under 0.01%). A longer one has its edges densified along great circles (10 km) and is buffered in stretches of up to 300 km, each in its own projection, and the pieces are joined; a large polygon's buffer is the polygon plus its outline's buffer (minus it, for a negative distance). MultiPoints are a union of exact circles. Longitudes stay continuous across the antimeridian.
  • Buffer and Select Layer By Location use it; the Dissolve: All path is unchanged.
  • docs/user-guide/analysis.md says the distances are geodesic.

Test. buffers_keep_their_distance_on_the_earth checks every vertex of the issue's two buffers, plus a 20°×20° polygon buffered by +100 km and −100 km, against great-circle distance to the feature. Vertices on the arcs are within 0.2%. Where two pieces' arcs cross, a vertex can sit up to geo's chord sag (0.5% at its 0.2 rad steps) inside. On main the point fails: it reaches 872 km north. Also new unit tests for Aeqd, geodesic_destination and geodesic_interpolate.

Fixes #394

Summary by CodeRabbit

  • New Features
    • Buffer distances and location-selection distances now follow the Earth’s curvature, providing more accurate results across latitudes and for large or antimeridian-crossing features.
  • Documentation
    • Updated the analysis guide to explain geodesic distance behavior and illustrate it with an example.

Buffer drew every feature in Web Mercator with one scale factor, 1/cos
of the feature's label latitude, so the distance held only at that
latitude and east-west: a 1000 km circle at 60N reached 872 km north
and 1142 km south, and a 50 km buffer of a line from 5S to 33S was
59 km wide at one end and 50 km at the other.

Each feature is now buffered in a spherical azimuthal equidistant
projection centred on it (rustgis-geom's Aeqd), and back to lon/lat.
A line or polygon outline that reaches more than 150 km from its
centre is densified along great circles and buffered in stretches of
up to 300 km, each in its own projection; the pieces are joined, and a
polygon's buffer is the polygon with its outline's buffer added (or
taken away, inward). Select Layer By Location's distance uses the same
buffer.

Fixes #394
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📒 Files selected for processing: 3
  • crates/analysis/src/geodesic.rs
  • crates/analysis/src/tools.rs
  • crates/geom/src/lib.rs
📝 Walkthrough

The change adds spherical geometry utilities and geodesic buffering for points, multipoints, lines, and polygons. The Buffer and Select Layer By Location tools use geodesic buffering. Crate documentation and the user guide describe the updated distance behavior.

Changes: Geodesic Buffering

Layer / File(s) Summary
Spherical geometry and projection
crates/geom/src/lib.rs
Adds great-circle interpolation, spherical-centre and destination calculations, and an azimuthal equidistant projection. Adds tests for distance, round-trip, and antimeridian behavior.
Geodesic buffer construction
crates/analysis/src/geodesic.rs
Adds geodesic_buffer for points, lines, and polygons. It uses one projection for geometries within 150 km of their spherical centre, and densified stretches for larger geometries. Large polygon outlines are combined with buffered pieces by union or difference.
Analysis tool integration and documentation
crates/analysis/src/lib.rs, crates/analysis/src/tools.rs, docs/user-guide/analysis.md
Exposes the geodesic module. Buffer and positive-distance location selection use geodesic_buffer. Tests cover multiple geometries and distances; the user guide describes geodesic measurement on a 6,371 km-radius sphere.

Priority: ➖ Normal

Estimated code review effort: 4 (Complex) | ~45 minutes

Change: Bug fix · Severity of issue fixed: Medium

Sequence Diagram(s)

sequenceDiagram
  participant BufferTool
  participant geodesic_buffer
  participant Aeqd
  participant geo_Buffer
  participant geo_unary_union
  BufferTool->>geodesic_buffer: Buffer feature geometry
  geodesic_buffer->>Aeqd: Project coordinates
  geodesic_buffer->>geo_Buffer: Buffer projected geometry
  geodesic_buffer->>geo_unary_union: Combine multiple buffered pieces
  geodesic_buffer-->>BufferTool: Return polygon geometry or no result
Loading

Suggested reviewers: jgregoriorincon

Merge Risk: 🟡 Moderate · up to 1edd0

Geodesic buffers around polar features can exclude areas within the requested distance. Correct polar buffer output before merging.

Pre-merge checks: Passed 4 · Failed 1

Failed Failed checks: 1 warning

Check name Status Explanation Resolution
Docstring Coverage Warning Docstring coverage is 68.57% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 35 functions across 4 files. (1 skipped: … Write docstrings for the functions missing them to satisfy the coverage threshold.
Passed Passed checks: 4 passed
Check name Status Explanation
Title check Passed The title clearly identifies the main change: adding geodesic buffers to analysis.
Description check Passed The description explains the root cause, implementation, scope, testing, and linked issue. It provides the required Summary, Testing, and Related issue information, although it does not use the templa…
Linked Issues check Passed Issue #394 requires geodesic buffer distances for points, lines, and polygons. The PR adds geodesic_buffer with spherical AEQD buffering, exact point circles, great-circle densification for long lin…
Out of Scope Changes check Passed The changes remain connected to issue #394. The new projection and geodesic helpers support the required buffering behavior. The Select Layer By Location change addresses the same distance calculation…
Full details: Description check

Explanation

The description explains the root cause, implementation, scope, testing, and linked issue. It provides the required Summary, Testing, and Related issue information, although it does not use the template headings exactly.

Full details: Linked Issues check

Explanation

Issue #394 requires geodesic buffer distances for points, lines, and polygons. The PR adds geodesic_buffer with spherical AEQD buffering, exact point circles, great-circle densification for long lines and polygon outlines, and polygon buffer handling. buffer calls this implementation. The reported buffers_keep_their_distance_on_the_earth test covers the issue's 60°N point, 5°S–33°S line, and positive and negative polygon buffers. New unit tests cover Aeqd, geodesic_destination, and geodesic_interpolate.

Full details: Out of Scope Changes check

Explanation

The changes remain connected to issue #394. The new projection and geodesic helpers support the required buffering behavior. The Select Layer By Location change addresses the same distance calculation problem. Documentation describes the resulting geodesic behavior. The tests validate the implementation. The Dissolve: All path remains unchanged. No unrelated change is demonstrated.

Full details: Docstring Coverage

Explanation

Docstring coverage is 68.57% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 35 functions across 4 files. (1 skipped: 1 unsupported.)

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Write docstrings for the functions missing them to satisfy the coverage threshold.

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A rabbit maps a circle wide,
With geodesic paths as its guide.
Through projected lands it bounds the way,
Then joins the pieces into shape.
“The distances hold,” it thumps with cheer,
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Comment thread crates/analysis/src/geodesic.rs
Comment thread crates/analysis/src/geodesic.rs
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Code review

The change replaces the per-feature Mercator scale correction with true geodesic buffers. Each feature is buffered in an azimuthal equidistant projection centred on it, and long lines or large polygons are buffered in 300 km stretches that are then joined. I read the diff and the surrounding code in tools.rs. I could not build or run anything, so none of this has been tested.

Bugs

  • Antimeridian mismatch for large polygons (medium confidence), crates/analysis/src/geodesic.rs:112. In the stretched path, lonlat keeps the polygon's raw longitudes. outline is unwrapped to within 180° of the spherical centre. For a large polygon that crosses ±180° (such as Russia or Fiji), the two shapes can sit 360° apart, so the union or difference gives the wrong result. The new test only covers 0–20°E.
  • Multipoint drops the whole feature (low confidence), geodesic.rs:37. If a multipoint's points balance out (for example two antipodes), spherical_centre returns None and the ? silently drops the feature. The centre is only used as a longitude reference, so falling back to the first point's longitude would avoid this.

Security

  • Nothing found. The new code uses get(), clamps densification at 4000 pieces per edge, and ignores non-finite coordinates. The buffer tool's existing 5000 km limit keeps the azimuthal inverse below half the Earth's circumference.

Performance

  • No cap on vertex count (low confidence). densify and stretched can produce a very large number of pieces for big country-scale layers. Many boolean unions of those pieces could be slow, especially in the browser, with no cap on total work.
  • Each point of a multipoint is buffered and unioned on its own, which is costly for large multipoints.

Quality

  • The merc_scale and feature_lat helpers are still used by simplify at tools.rs:573 and :591, so there is no dead code. The tools.rs call sites are tidy.
  • Tests cover the 60°N circle, a long line, and a polygon with an outward and an inward buffer. There is no test for the antimeridian, holes, multipoints, or select_by_location with a distance.
  • Aeqd and the other geom helpers have good unit tests.
  • geodesic.rs has no tl! text, which fits since it is library code. The new geom items are pub and documented.

AGENTS.md

  • No unwrap, expect, panic!, unsafe, or std::time in non-test code. The panic! calls in tools.rs tests are allowed. The analysis crate keeps its deny block.
  • The change stays within the layering and only affects the analysis and geom crates, so it should not affect wasm builds.
  • hostile_params_never_panic already covers the buffer tool. I did not see a regression test for hostile geometry such as NaN coordinates or the poles in geodesic_buffer.

Change size

Compared: the whole PR against main (merge base c60bbfe to PR head 77e84d5).

Metric Value
Files changed 5 (1 added, 4 modified, 0 removed, 0 renamed)
Size before 85.9 KB
Size after 102.6 KB
Total size change +16.7 KB
File Before After Change
crates/analysis/src/geodesic.rs 0 B 7.7 KB +7.7 KB
crates/geom/src/lib.rs 9.1 KB 15.0 KB +5.9 KB
crates/analysis/src/tools.rs 54.1 KB 56.7 KB +2.6 KB
docs/user-guide/analysis.md 10.4 KB 10.8 KB +0.4 KB
crates/analysis/src/lib.rs 12.3 KB 12.4 KB +41 B

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Pieces were unwrapped to within 180 degrees of the whole feature's
centre, so for a polygon split at the antimeridian (Russia, Fiji) the
western half's outline came back near 185 while the half itself stayed
at -175, and the union joined shapes 360 degrees apart. Each piece now
takes its reference longitude from its first coordinate as written, so
a MultiPoint no longer needs a centre (two antipodes had none and lost
their buffer). Densifying adds at most 16,000 vertices to one line or
ring.
Comment thread crates/analysis/src/geodesic.rs
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Code review

I read the diff and the surrounding code. I could not run the code or the tests, so everything below comes from reading it. I left two inline comments.

Bugs

  • One-piece buffering ignores the buffer distance (geodesic.rs:80 and :102, medium confidence). fits only checks that the feature is within 150 km of its centre. A small line or polygon buffered by 1000 km or more is still drawn in one projection, and its edge lies far from that centre, where the equidistant projection's error is large. Only a lone point is exact. The docs say "wherever the feature is and however far it spans", and this case contradicts that. Distances near πR (about 20,000 km) also wrap in Aeqd::inverse.

Performance

  • No bound on the number of pieces (geodesic.rs:125, medium confidence). A long line or a large polygon outline becomes about N/300 stretches, each with its own buffer. Each can carry up to 16,000 densified vertices, and all the results go through one unary_union. A continental-scale input or a huge distance could be slow and use a lot of memory. The hostile-params test may not cover this case.

Security

  • Nothing found. Non-finite distances and coordinates are filtered, and densify caps added vertices.

Quality

  • Test coverage is good. It covers high latitude, a long line, a polygon grown and shrunk, the antimeridian and antipodes. I would add a regression test for the large-distance, small-feature case above.
  • The merc_scale and feature_lat helpers are still used by other tools, so there is no dead code.

AGENTS.md

  • I found no unwrap, expect or panic in non-test code. The panic! calls are in test helpers only. The code uses get() and clamps sizes, and the new geodesic module has no egui or other layering problems. The new code is also wasm-safe, as far as I can tell.
  • No user-facing strings were added, so there is nothing to translate.

Change size

Compared: the whole PR against main (merge base c60bbfe to PR head 6277271)

Metric Value
Files changed 5 (1 added, 4 modified, 0 removed, 0 renamed)
Size before 85.9 KB
Size after 103.8 KB
Total size change +17.9 KB
File Before After Change
crates/analysis/src/geodesic.rs 0 B 7.9 KB +7.9 KB
crates/geom/src/lib.rs 9.1 KB 15.0 KB +5.9 KB
crates/analysis/src/tools.rs 54.1 KB 57.7 KB +3.6 KB
docs/user-guide/analysis.md 10.4 KB 10.8 KB +454 B
crates/analysis/src/lib.rs 12.3 KB 12.4 KB +41 B

Comment thread crates/analysis/src/tools.rs
Comment thread crates/analysis/src/geodesic.rs
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Code review

This PR replaces the per-feature Web Mercator scale correction in buffer and select_by_location with geodesic buffering. The new geodesic.rs buffers in an azimuthal equidistant projection centred on the feature, and in stretches for long lines and large polygons. I read the diff and the surrounding buffer tool. I did not build the code or run the tests.

Bugs

  • select_by_location has no distance cap (tools.rs:611, medium confidence). buffer rejects distances over 5000 km, but this tool passes any distance through.
    • A distance beyond about πR (~20,000 km) makes Aeqd::inverse wrap around and return nonsense.
    • A non-finite distance makes geodesic_buffer return None, and unwrap_or(g) then silently searches with the unbuffered geometry.
    • Suggested fix: clamp or reject the distance the same way buffer does.
  • Stretch accuracy at large distances is unproven (geodesic.rs:139, medium-low confidence). The "under 0.05%" error figure holds for the line's vertices. A vertex 150–300 km from a stretch's centre, buffered by thousands of km, will be less accurate. The docs promise "every point" at the exact distance, but the only large-distance line test (5000 km round the world) just asserts the result is non-empty. Adding an all_at check for a long line at a large distance would settle it.
  • Aeqd::forward treats the antipode as the centre (geom/src/lib.rs:440, low confidence). The sin_c < 1e-15 early return maps the exact antipode to (0,0), but it should lie on a circle of radius πR. The fits check keeps current callers away from this, but Aeqd is a public type.

Security

  • Nothing found. Non-finite coordinates are filtered, the densified vertex count is capped (MAX_ADDED), and no unwrap, expect or panic! appears in non-test code.

Performance

  • Large distances on long features produce many pieces, which are then merged with unary_union. The 5 km–5000 km cases and the densify step (10 km) could be slow on big polygons. Worth a benchmark, but no concrete problem found (low confidence).

Quality

  • The new tests are thorough: antimeridian, antipodes, inward buffers, and a round-the-world line.
  • select_by_location and buffer now handle out-of-range distances differently (see Bugs).

AGENTS.md

  • No violations seen. No panics in non-test code, nothing UI-facing that needs tl!, and the docs are updated. The new code uses no std::time, so it should stay wasm-compatible. cargo xtask ci should still be run.

Change size

Compared: the whole PR against main (merge base c60bbfe to PR head 1edd08e).

Metric Value
Files changed 5 (1 added, 4 modified, 0 removed, 0 renamed)
Size before 85.9 KB
Size after 104.5 KB
Total size change +18.5 KB
File Before After Change
crates/analysis/src/geodesic.rs 0 B 7.9 KB +7.9 KB
crates/geom/src/lib.rs 9.1 KB 15.0 KB +5.9 KB
crates/analysis/src/tools.rs 54.1 KB 58.4 KB +4.3 KB
docs/user-guide/analysis.md 10.4 KB 10.8 KB +454 B
crates/analysis/src/lib.rs 12.3 KB 12.4 KB +41 B

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Actionable comments posted: 1


  • 🪄 Fix comments: Fix CodeRabbit comments on this PR
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Inline comments:
Review comments at @crates/analysis/src/geodesic.rs:
- Around line 55-60: Update Plane::back to preserve pole-containing exterior
rings across longitude seams and handle pole-centred Aeqd planes explicitly,
including the inverse-projection longitude singularity. Add regression tests for
a 1000 km buffer around 85°N and a buffer centred exactly at the pole; verify
containment with polygon_contains and downstream Web Mercator consumers. Do not
apply the source-distance assertion to inserted pole vertices.

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📒 Files selected for processing: 5
  • crates/analysis/src/geodesic.rs
  • crates/analysis/src/lib.rs
  • crates/analysis/src/tools.rs
  • crates/geom/src/lib.rs
  • docs/user-guide/analysis.md

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Comment thread crates/analysis/src/geodesic.rs
A buffer that holds a pole went once round the globe in longitude and
came back as a ring with a 360 degree jump, and a projection centred
on a pole had no longitude to give back. A ring round a pole is now
cut at the antimeridian (the crossing found along the edge in the
plane) and closed along the pole, and Aeqd's inverse reads the
meridian from the azimuth at a pole.

Select Layer By Location refuses distances over 5000 km, as Buffer
does, rather than passing an unbounded one on.
Comment thread crates/analysis/src/geodesic.rs
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Code review

I read the full diff and the surrounding code in tools.rs and convert.rs. I did not build or run anything, so the new tests are unrun. I found no blocking defects. The geodesic buffer approach looks sound and follows the repo's never-crash rules: it has no unwrap, expect or panic outside tests, it filters non-finite coordinates, it clamps vertex counts, and the distance is capped at 5000 km.

Bugs

  • None confirmed.
  • Low confidence: Plane::capped (geodesic.rs) falls back to the raw, unwrapped lon/lat ring when it finds no antimeridian seam. A pole-enclosing ring from a very coarse input could then come back unclosed along the pole. Densifying and the geo buffer's arc steps make this unlikely.
  • Low confidence: ring() treats any ring that contains the pole in the plane as a pole cap, including an interior ring (a hole). A hole around a pole would be filled in as a cap. This is rare.

Security

  • None. Inputs are hostile-safe and bounded: the distance is capped at 5000 km in buffer, and now in select_by_location too, and densify is bounded by MAX_ADDED.

Performance

  • Plane::ring clones the ring and builds a Polygon for each of two pole checks, on every ring of every piece (inline comment on geodesic.rs:74). Building the polygon once per ring would avoid this. Confidence: medium, impact small to moderate.
  • Long lines or large polygons at large distances are buffered as hundreds of stretches and joined with unary_union. With dissolve: All over many such features this could get slow. Confidence: low. Consider a timing test for a continental polygon at 5000 km.

Quality

  • wrap in geodesic.rs duplicates wrap_lon in crates/geom/src/lib.rs. Export one helper instead.
  • geodesic_destination is public but only the geom tests use it. It's fine as API, but it is unused dead surface for now.
  • In select_by_location, if geodesic_buffer returns None (for example, nothing is left), the selector silently falls back to the unbuffered geometry. A near-miss feature may then be missed with no warning. Confidence: low.
  • buffers_keep_their_distance_on_the_earth is one large test with many scenarios. Splitting it would make failures easier to diagnose.

AGENTS.md

  • Never-crash, layering and wasm: compliant. geodesic.rs is in analysis (L2) and uses only geom and data.
  • Regression tests are present for the new behaviour. I could not confirm that hostile_params_never_panic in the analysis crate covers the new junk-input paths (non-finite coordinates, NaN distance); please check.
  • The user-guide docs were updated.

Change size

Compared: the whole PR against main (merge base c60bbfe to PR head 04661f6)

Metric Value
Files changed 5 (1 added, 4 modified, 0 removed, 0 renamed)
Size before 85.9 KB
Size after 108.9 KB
Total size change +22.9 KB
File Before After Change
crates/analysis/src/geodesic.rs 0 B 10.8 KB +10.8 KB
crates/geom/src/lib.rs 9.1 KB 15.2 KB +6.1 KB
crates/analysis/src/tools.rs 54.1 KB 59.7 KB +5.6 KB
docs/user-guide/analysis.md 10.4 KB 10.8 KB +454 B
crates/analysis/src/lib.rs 12.3 KB 12.4 KB +41 B

@giswqs
giswqs merged commit cbcb04f into main Oct 18, 2026
17 checks passed
@giswqs
giswqs deleted the fix/issue-394-geodesic-buffer branch October 18, 2026 00:07
giswqs pushed a commit that referenced this pull request Oct 25, 2026
… WGS 84 ellipsoid (#888) (#905)

* Analysis: buffers, Tissot's circles and Spatial Join distances on the WGS 84 ellipsoid (#888)

Aeqd becomes Karney's ellipsoidal azimuthal equidistant projection: forward
is the inverse geodesic problem from the centre, inverse the direct one,
both solved by geographiclib-rs (already in the tree through geo). A point's
buffer and geodesic_destination (Tissot's circles) are exact on WGS 84;
lines and polygons keep #429's planes, now on the ellipsoid.

Spatial Join measures the nearest pair with wgs84_distance_m, and its
pre-filter uses WGS 84's smallest radius of curvature (b^2/a), so the
ellipsoid's shorter distances near the equator are never ruled out.

Tests compare with GeographicLib's values (pyproj.Geod(ellps="WGS84")).
Lengths and areas stay spherical (#894).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

* Spatial Join: a Within a distance test through the grid index at the ellipsoid's 10 km edge; docs note lengths and areas stay spherical (#888)

Review follow-up for #905: 20 stops so the join indexes them; the stop
0.0904369 deg north of the equator (9,999.995 m on WGS 84, 10,056 m on the
mean sphere) is joined within 10,000 m and the one at 0.0905 deg is not.
The test fails with the mean radius back in the join's pre-filter.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

* Aeqd: metres that aren't finite give no place; docs give separate length and area bounds (#888)

Review follow-up for #905: Aeqd::inverse returned a finite longitude with a
NaN latitude for NaN or infinite metres; it now returns NaN for both. The
user guide's note on spherical lengths and areas now says up to about 0.6 %
for lengths and 0.9 % for areas (a small area near a pole), not 0.5 %.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

---------

Co-authored-by: elpidioassinaturas <elpidiofilho@gmail.com>
Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
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[Bug]: Buffer distances drift with latitude: a 50 km buffer of a north–south line is 50–59 km wide

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