FA-79863 / Typography line breaking / Member archive

Glue-set badness rating: badness ceiling · case 03

Extremely loose lines report badness far above the infinite-badness ceiling.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Input [natural, stretch, shrink, width, tolerance] (ints). shortfall=width-natural. Positive shortfall with zero stretch is underfull 10000 very_loose; shrinking past total shrink is overfull 1000000 tight. r=shortfall/stretch (or /shrink when negative); badness=min(10000, floor(100*|r|^3+1/2)); fitness tight r<-1/2, decent r<=1/2, loose r<=1, else very_loose; status ok iff badness<=tolerance. Return [status, badness, fitness].

Why this case matters

Line breaking decides where paragraphs wrap on screen and in print; a wrong decision point shifts every following line.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: badness ceiling	`["underfull", 1216700, "very_loose"]`	`["underfull", 10000, "very_loose"]`	Failed

MEMBER ARCHIVE

The complete case is available to members.

This record includes three runnable implementations, regression fixtures, execution results, and source hashes.

Member access is invitation-based. Sign in with your invited account to inspect the sources.