Files
LithosAnanake/capsules
Robert Allan James 36389e9d4a starkernel: item 4.3.3a -- Q48.16 trigonometry (Q.SIN/Q.COS)
Adds q48_reduce_angle() (range-reduce a signed Q48.16 angle into
[-PI_Q48, PI_Q48] via one integer division plus a bounded fix-up loop) and
q48_sin_approx/q48_cos_approx (Taylor series, terms n=3,5,7,9,11 for sin
and n=2,4,6,8,10 for cos, early exit below 10). Q.SIN/Q.COS registered as
FORTH words in q48_words.c, same pattern as Q.LOG/Q.EXP/Q.SQRT.

Found mid-implementation: this codebase has two independent Q48.16
implementations -- src/word_source/q48_16_words.c (hosted/vendored) and
src/starkernel/math/q48_16.c (kernel-only; the kernel build does not
compile the former at all). The hosted build linked fine after the first
pass; the kernel build failed with undefined references until the same
two functions were added to both .c files and both q48_16.h headers
(include/q48_16.h and include/starkernel/q48_16.h). Not fixed at the root
-- Q.LOG/Q.EXP/Q.SQRT already had this same four-file duplication,
unremarked until now -- just navigated correctly for this item.

Verified live on amd64 via serial injection: sin/cos at 0, +-pi/2, pi, and
3pi (range-reduction across multiple turns) all match expected values
within Taylor-series truncation error (<0.2%).

All three architectures boot clean to ok> with the DoE completing;
dict_hash identical across all three (0x291a660b05fa7b52).

FABRIC.md item 4.3.3a marked done with full acceptance evidence.
2026-08-07 13:39:05 -04:00
..
2026-08-01 07:49:56 -04:00
2026-08-01 07:49:56 -04:00
2026-08-01 07:49:56 -04:00

capsules/

FORTH personality files loaded by the VM at boot. A capsule is an immutable, content-addressed payload; its XXHash64 hash is its identity. Any mutation changes the hash and the birth protocol rejects the image.

Key files

File Type Purpose
init.4th (m) MAMA_INIT Default Mama VM personality — loaded at LBN 2048
ACL.4th user Word-level ACL system; self-activating at boot
zuse.4th user Bootstrap superuser; loaded by ACL.4th
doe.4th user DoE workload words (EXEC-DOE) — opt-in
init-0.4thinit-9.4th (p) Numbered personality variants
init-l8-*.4th (p) L8 Jacquard mode variants (stable/volatile/diverse/temporal/transition/omni)
hermes/init.4th (p) Hermes baby VM personality
artemis/init.4th (p) Artemis baby VM personality

Block namespace

Block ranges are shared across all loaded capsules — collisions cause silent word-definition overwrites.

Range Owner
20482099 init.4th
21002199 doe.4th
30003999 workload capsules
4000+ user-defined (ACL.4th, zuse.4th, …)

Each block is limited to 1024 bytes. Verify with wc -c before committing.

See also