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Hanzo AI e018a9c3d1 LP-107 Phase 2: math substrate — params, backend, codec, modarith,
ntt, poly, rns, sample

Eight pure-Go reference packages that own the canonical semantics of
every cryptographic-math primitive Lux protocols share. Backends
(AVX2 / NEON / cgo+C++ / CUDA / Metal / WGSL) plug in behind the
substrate; KATs gate byte-equality across them.

Packages added:

* params/    — ModulusID, NTTParamID, FHEParamID, PulsarParamID,
               HashSuiteID, BackendID; KATHeader required-fields
               schema. Stable string IDs; renaming is a breaking
               change.

* backend/   — Policy enum (PureGo / NativeCPU / GPUPreferred /
               GPURequired); Resolve(policy, registered) returns the
               BackendID per LP-107's fallback chain. GPURequired
               returns ErrUnavailable when no GPU backend is
               registered.

* codec/     — Bounded readers (closes lattice issues #2 + #4 DoS
               class permanently). Limits + LimitError + Reader.
               ReadUint{16,32,64}Slice all reject the 70T-element
               attack input before allocating; depth + frame-bytes
               caps; iterative (no recursion). Regression test
               TestReadUint64Slice_RejectsHugeLength encodes the
               original lattice issue #4 input.

* modarith/  — Modulus type with QInv, R2, Barrett constants
               (computed via math/big once per modulus). AddMod /
               SubMod / MulMod (Div64 reference path). MontMulMod /
               ToMontgomery / FromMontgomery cross-checked against
               MulMod across 100 random Pulsar-Q pairs.
               ReductionMode enum byte-equal to lattice/types.

* ntt/       — Service + Backend interface; pure-Go backend
               delegates to lattice/v7/ring.SubRing.NTT/INTT (the
               canonical Lattigo-derived Montgomery NTT body — no
               re-implementation, just dispatch). Round-trip +
               batch + determinism tests on Pulsar N=256.

* poly/      — Add / Sub / ScalarMul / PointwiseMul (NTT-domain) /
               negacyclic Mul (NTT round-trip). Composes modarith +
               ntt; no lower-level reach.

* rns/       — Basis(Moduli, Name) for FHE RNS chains. Single +
               two-prime construction validated; rejects even moduli.
               Phase 3 will add basis-extension and modulus-switching.

* sample/    — Uniform (rejection sampling, mask-and-retry); Ternary
               (density + sign byte); CenteredBinomial (popcount
               difference); DiscreteGaussianRejection (6-sigma cutoff).
               All take an io.Reader so callers can KAT-replay.

Architecture invariants enforced in package docs:

  - Go is the canonical semantic reference.
  - Backend selection MUST NOT alter transcript bytes (consensus
    paths default to PolicyPureGo / PolicyNativeCPU).
  - No unbounded codec readers anywhere near wire formats.
  - No re-implementation: where lattice/v7/ring already owns the
    canonical body, we delegate, not fork.
  - One ID space; renaming is a breaking change.

Test posture: 8/8 packages green via `GOWORK=off go test ./...`.

Phases 3-7 (queued):
  3. lattice consumes math
  4. pulsar consumes lattice + math
  5. fhe consumes math
  6. luxcpp/crypto/math native backend mirror
  7. cross-runtime KAT release gate

See SUBSTRATE.md for the full posture and migration plan; full LP at
~/work/lux/lps/LP-107-lux-math-substrate.md.
2026-05-04 09:28:23 -07:00

58 lines
1.4 KiB
Go

// Copyright (c) 2026 Lux Industries Inc.
// SPDX-License-Identifier: BSD-3-Clause
package ntt
import (
"sync"
"github.com/luxfi/math/params"
)
// Process-wide registry of NTT backends. The pure-Go backend
// registers itself in init(); other backends (CUDA, Metal, WGSL) are
// registered by the build that includes them.
var (
registryMu sync.RWMutex
registry = map[params.BackendID]Backend{}
)
// Register installs a Backend under its ID. Re-registration replaces.
// Backends MUST be idempotent — registering the same ID twice with
// different bodies is a programming error caught at process start
// when two libraries each try to register the same ID.
func Register(b Backend) {
registryMu.Lock()
defer registryMu.Unlock()
registry[b.ID()] = b
}
// Unregister removes a Backend. Used in tests.
func Unregister(id params.BackendID) {
registryMu.Lock()
defer registryMu.Unlock()
delete(registry, id)
}
// lookup returns the registered Backend for id, or nil.
func lookup(id params.BackendID) Backend {
registryMu.RLock()
defer registryMu.RUnlock()
return registry[id]
}
// registeredFor returns the set of registered BackendIDs whose
// Supports(p) returns true.
func registeredFor(p *Params) map[params.BackendID]bool {
registryMu.RLock()
defer registryMu.RUnlock()
out := make(map[params.BackendID]bool, len(registry))
for id, b := range registry {
if b.Supports(p) {
out[id] = true
}
}
return out
}