Complete the @c family: @ch (half) and @cq (quad) complex, end to end#50
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Fills the two unimplemented slots in the @c aura family across all three layers.
/lib/complex: add the ch (2x@rh, 16-bit components) and cq (2x@rq, 128-bit
components) doors -- verbatim analogues of cs/cd over the rh/rq float doors --
with full per-arm doccords and complete test coverage (re/im/pak/zero/one/add/
sub/neg/conj/mul/div/abs/equ/neq). All example/test values captured from the
ship.
Lagoon %cplx: wire bloq 5 (ch) and bloq 8 (cq) into the eye/ones one-value and
the fun-scalar/trans-scalar dispatches (which previously handled only 6/7).
Element-wise add/sub/mul/div/abs/conj/equ/neq now work for all four widths;
lagoon-cplx tests gain ch/cq cases.
Saloon eig: generalize the component dispatch. cb-comp is now just (dec cb);
the scalar float helpers (fadd..feps, fsqt) cover component bloq 4/5/6/7
(rh/rs/rd/rq) and the complex helpers cover complex bloq 5/6/7/8 (ch/cs/cd/cq).
+eig-herm accepts %cplx bloq 5-8 and symmetric +eig accepts %i754 bloq 4-7, so
eigendecomposition now runs at half through quad precision. New
saloon-eigh-cc test verifies [[2,i],[-i,2]] -> {1,3} at @ch and @cq.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This was referenced Jun 8, 2026
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Summary
Fills the two unimplemented slots in the
@caura family —@ch(half) and@cq(quad) — reserved in/lib/complex's header but never built. Now implemented end to end across all three layers, so the family is@ch / @cs / @cd / @cqeverywhere./lib/complexch(2×@rh, 16-bit components → 32-bit element) andcq(2×@rq, 128-bit → 256-bit) doors — verbatim analogues ofcs/cdover therh/rqfloat doors — with full per-arm doccords and complete test coverage (all 14 public arms). Every example/test value captured from the ship.%cplxch) / 8 (cq) intoeye/ones/fun-scalar/trans-scalar(previously 6/7 only). Element-wise add/sub/mul/div/abs/conj/equ/neq now work at all four widths;lagoon-cplxgains ch/cq cases.eigcb-compcollapses to(dec cb); the scalar-float helpers (fadd…feps,fsqt) cover component bloq 4–7 (rh/rs/rd/rq) and the complex helpers cover bloq 5–8 (ch/cs/cd/cq).eig-hermaccepts%cplx5–8 and symmetriceigaccepts%i7544–7.Eigendecomposition now runs at half through quad precision. New
saloon-eigh-cctest verifies the analytic case[[2,i],[−i,2]] → {1,3}at@chand@cq(NumPy can't emit true IEEE binary128, so the precision-independent case is used).Tests (all green on ~hex)
/tests/lib/complex: 16 cases — cs/cd/ch/cq × components/arith/unary/compare./tests/lib/lagoon-cplx: +test-cplx-ch, +test-cplx-cq./tests/lib/saloon-eigh-cc: half + quad Hermitian eig. Existing cs/cd eig unchanged.Depends on the merged doccord PR #49 (which established the
cddoccord/test template these ch/cq doors follow).🤖 Generated with Claude Code