pythagorean-snap
O(log n) nearest-neighbor search on the full-circle Pythagorean manifold — zero drift, 1000x+ faster than brute force.
Install
pip install pythagorean-snap
Quick Start
from pythagorean_snap import PythagoreanManifold
m = PythagoreanManifold(50_000)
t = m.snap_angle(0.785) # snap to nearest triple at ~45°
print(f"({t.x}, {t.y}, {t.c}) — angle: {t.angle():.4f} rad")
assert t.verify() # x² + y² = c² — always exact
Performance
At max_c = 50,000 (41K+ triples):
- Binary search: O(log n) per query
- 100% agreement with brute-force
- Zero floating-point drift
API
| Method | Description |
|---|---|
PythagoreanManifold(max_c) |
Build manifold |
.snap_angle(theta) |
Nearest triple to angle (rad) |
.snap_brute(theta) |
Brute-force (verification) |
.constraint_distance(theta) |
Angular distance |
.angle_range() |
(min, max) angle |
.iter_triples() |
Iterate all triples |
License
MIT
Metadata
Release files for pythagorean-snap 0.1.0
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Total release size: 7.6 kB
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