A cell was exactly one trace plus its clearance, so a trace owning its cell
was the whole clearance model, and the 0.4 mm grid could not reach most
pins of a 0.5 mm pitch package: between two 0.3 mm pads a trace's centre
has a legal band only 0.15 mm wide. Resolution K makes cells K times
finer and has every trace claim a halo, the cells whose centre is nearer
than trace + clearance to one of its own, released again on rip-up.
K = 1 has an empty halo and is the old grid exactly (tested). On a 0.5 mm
row, K = 4 gets every pin out where K = 1 gets two. On the rc4 boards, K = 2
cuts the sense board's opens from 66 to 41 (JAR: 32) and the power board's
to 7 (JAR: 12), still with no DRC errors from freeroute's own copper.
Every route starts and ends with a stub from the pin to its first grid
cell, and the grid never saw that copper: on the rc4 sense board 24 of 39
connections the exact verifier rejected had a later route pass beside an
earlier stub. A route's stubs now claim the cells they come near, a stub
must be clear of other nets to be used, and a route may start from any
enterable neighbour of the pin cell, costed by stub length (Manhattan on
the orthogonal track, so a pin on a cell centre still leaves straight).
Tests: a route near a rounded corner keeps its edge clearance; and a
strict xfail that pins down the remaining gap, a 0.5 mm pin row the grid
cannot give a column to every pin of.
rsp2k