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
2026-08-02 05:11:24 -04:00
2026-08-01 07:49:56 -04:00
2026-08-01 07:49:56 -04:00
2026-08-01 15:51:53 -04:00
2026-08-02 05:11:24 -04:00

LithosAnanke v1.5.4

UEFI-bootable FORTH microkernel. Boots from firmware, initialises memory and interrupts, then runs the StarForth VM as its sole userspace runtime. No libc. No OS. Just stone and necessity.

Lithos (foundation) + Ananke (necessity) — the kernel under StarshipOS.


Status — M7.1 (Capsule System · Multi-VM Fleet)

Milestone Status
M0M6 UEFI boot · PMM · VMM · IDT · APIC · heap · framebuffer VT100 console (v1.5.1-FINAL) Complete
M7 StarForth VM integration + parity validation Complete
M7.1 Capsule birth protocol · Mama FORTH vocabulary · Tripod multi-VM fleet (Hermes/Artemis) · Word-level ACL (Phases 17) 🔄 In Progress
M8 REPL — keyboard input, interactive Forth Planned
M9 Block storage — AHCI driver Planned

POST at boot: parity hash verified across amd64/aarch64/riscv64 · Mama capsule dictionary: 453 words

What's live in M7.1

  • Tripod — a named multi-VM fleet (Hera the Mama VM, Artemis, two Hermes instances) births, runs, and re-births independently, verified booting live pre-REPL on all three architectures.
  • Hermes — a 17-block inter-VM messaging/channel layer between fleet members, with async delivery and channel negotiation.
  • Artemis — a Block Allocation Map (BAM) storage subsystem with Q48.16 block-heat tracking and cooldown/reclamation (ART-COOL/ART-REAP).
  • Word-level ACL — every dictionary entry carries a TTL/allow/mode/pin access-control record. Strict, TTL, and pinned modes; two console layers (emergency ok> and superuser zuse)ok>). Phases 17 complete (C infrastructure, FORTH policy layer, zuse bootstrap superuser, Isabelle proof stubs, kernel parity); Phase 8 (Ed25519 PKI / thumbdrive challenge-response) is the only item remaining. Measured overhead once active on every check: +0.0054%+0.0088%, CV = 0.000%, across a 3×3 Latin-square DoE campaign (architecture × seed × 30 replicates) — three orders of magnitude below the measurement floor.
  • VM Fleet Attractor physics — the L8 Jacquard mode selector now has a real per-VM heat channel into fleet-wide tuning, replacing hardcoded compudynamics constants with a dynamically-inferred rate.
  • Kconfig build configuration — every physics/heartbeat/pipelining/ kernel-only tuning knob (~40 total) is now a discoverable, optional Kconfig symbol shared with the hosted VM build. See Quick Start below.

Quick Start

# Build kernel (requires cross-compilation toolchain, or native gcc)
make -f Makefile.starkernel ARCH=amd64

# Run in QEMU with OVMF
make -f Makefile.starkernel qemu

# Other architectures
make -f Makefile.starkernel ARCH=aarch64 qemu
make -f Makefile.starkernel ARCH=riscv64 qemu

Artifacts: build/amd64/kernel/starkernel_loader.efi · build/amd64/kernel/starkernel_kernel.elf

For the hosted VM by itself (Linux, no cross-compiler needed, no bare-metal tooling): see the separate StarForth repository — LithosAnanke used to be a branch inside that repo, now it's its own project with its own master.

Build configuration (optional)

Every kernel-only knob (STARFORTH_ENABLE_VM, PARITY_MODE, the shared physics/heartbeat family, etc.) is an optional Kconfig symbol — a plain make -f Makefile.starkernel uses the same defaults it always has unless you opt in:

make -f Makefile.starkernel ARCH=amd64 menuconfig
make -f Makefile.starkernel ARCH=amd64 kernel_amd64_defconfig

Documentation

System Architecture Full kernel + VM design
HAL Reference Hardware abstraction layer interfaces
Capsule System — M7.1 Capsule birth protocol design
VM Fleet Attractor design log Tripod/Hermes/Artemis physics + build-system history
Getting Started / Kconfig reference Full symbol reference for both build targets
Changelog Milestone-level history
Roadmap Milestone plan through self-hosting

License

Starship License 1.0 (SL-1.0) — free for personal, research, and educational use. Commercial use requires a separate agreement. Attribution to R.A. James (Captain Bob) must be preserved in all distributions.

Patent pending. USPTO provisional filed December 2025 — physics-grounded self-adaptive runtime system. This license does not grant patent rights. Licensing inquiries: rajames440@gmail.com


Robert A. James (Captain Bob) · Systems Engineer · Hacking since 1973

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