ludic/docs/language/decimal/decimal-sub.md
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feat(types): BigInt + Decimal exact economy numbers (#52)
Types phase 2 — the "money problem". A splice-on-demand bignum engine
(runtime/native/bignum.ludic, self-contained, only intrinsics) exposed as
two namespaces:

- BigInt.* — arbitrary-precision integer (sign-magnitude, base-1e9 limbs):
  from/parse, add/sub/mul/pow, div/mod (by int), cmp/eq/is_zero, to_int, str.
  For idle counters and exact huge currencies that overflow a 32/64-bit int.
- Decimal.* — exact base-10 fixed point (BigInt mantissa + decimal scale):
  from/parse, exact add/sub/mul, cmp/eq, scale/rescale (truncate), str.
  So 0.10 + 0.20 is exactly 0.30 — no binary rounding.

Both exact => deterministic; no f32/f64. Wired: parser splice trigger
(g_uses_bignum), emit_call dispatch, reseeded seed, a self-asserting example
(examples/library/bignum.ludic + feat_case), and per-symbol docs + inventory.
All suites green incl. golden renders byte-identical and the bootstrap fixpoint.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-08-31 18:45:14 +03:00

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---
id: decimal-sub
name: Decimal.sub
category: decimal
kind: namespace-method
tokens: Decimal.sub
sig: Decimal.sub(a, b) -> Decimal
tip: Exact difference of two decimals.
order: 3
ns: Decimal
member: sub
---
Returns the exact difference <code>a - b</code>, aligning scales so balances stay penny-accurate.
```ludic
program Demo {
handler Step phase Update {
let change = Decimal.sub(paid, price)
}
}
```