Adds tagged bignum support alongside the existing 48-bit fixnum on the C
tier. Tag 6 = bignum, heap struct sign-magnitude with u64 little-endian
limbs. Reader emits bignums for any literal past the fixnum range; +, -,
*, quotient, remainder, modulo, expt, =, <, >, abs, odd?, even?,
integer?, exact?, number->string, string->number all promote fixnum →
bignum on overflow & demote back when results fit. Boehm GC owns every
allocation. Schoolbook O(n²) mul + shift-subtract divmod is sufficient
at our 4-limb / 256-bit scale.
Before: (expt 2 48) = 0, (expt 2 256) = 0, secp256k1-p = -4294968273.
After: all three return their exact arbitrary-precision values, matching
Python tier byte-for-byte.
Validated:
- c/test.c — 85/85 pass (+2 new bignum unit tests).
- tests/functional.lsp — 205/205 pass on both C & Python tiers.
- tests/bignum-cross-tier.lsp — 33/33 pass byte-identical on both tiers
(diff produces no output).
- ecdsa/runs/lumbda-sweep-003/c-tier-bignum-probe.lsp — all four
assertions now match the Python oracle.
- ecdsa Phase B byte-identity sweep inside QEMU guest:
n+1=9 p=251 sha256 c668bbe3... — matches Python oracle.
n+1=18 p=131071 sha256 8a031f96... — matches Python oracle.
n+1=33 p=2³²-5 sha256 0bc56905... — matches Python oracle.
Previously the n+1=33 C tier emitted sha256 b024d6d9... (26,078 fewer
Toffolis due to silent fixnum wrap). Bignums close that gate.
secp256k1 production-width emit (n+1=257) is now structurally unblocked
on C tier; downstream agent (#55) drives that next-step on the ecdsa
side. Asm tier inherits in a follow-up port.
russell@unturf.com
2f342c3be2