java-topology/docs/tickets/julia-0001-isrelocatable-includes-vector-linear-scan.md
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julia-0001: isrelocatable() scans Vector for membership per include → O(n²)

Target: JuliaLang/julia Severity: MEDIUM CWE: CWE-407 (Inefficient Algorithmic Complexity) File: base/loading.jlisrelocatable() (~line 2096) Status: PATCHED

Description

isrelocatable() reads the cache header to retrieve includes (all included files) and includes_srcfiles (the subset that are source files). It then loops over includes and tests inc ∉ includes_srcfiles to identify include-dependencies. includes_srcfiles is a Vector{CacheHeaderIncludes}, so compiles to a linear scan using == on each element. With n entries in includes and up to n entries in includes_srcfiles, this is O(n²).

During package precompile validation, isrelocatable() is called for every package in the depot. Large projects (hundreds of includes) pay quadratic cost on every validation pass.

Root cause

# base/loading.jl ~2102
_, (includes, includes_srcfiles, _), _... = _parse_cache_header(io, path)
for inc in includes                          # outer O(n)
    if inc  includes_srcfiles               # inner O(n) Vector linear scan
        track_content = inc.mtime == -1.0
        track_content || return false
    end
end

includes_srcfiles is a Vector{CacheHeaderIncludes} built in parse_cache_header. The operator on a Vector is O(length).

Fix

Build a Set{CacheHeaderIncludes} from includes_srcfiles before the loop so membership tests are O(1).

srcfiles_set = Set{CacheHeaderIncludes}(includes_srcfiles)
for inc in includes
    if inc  srcfiles_set                    # O(1) hash lookup
        track_content = inc.mtime == -1.0
        track_content || return false
    end
end

CacheHeaderIncludes is a mutable struct; equality (==) is already defined structurally via isequal fallback, and hash can be derived from the filename field (unique per include).

Ops numbers (Java benchmark)

See defects/julia/unit/JuliaTest.java (bench label "isrelocatable-includes"). At N=1000 includes: slow ~500,500 comparisons, fast ~1000 → ~500× speedup.