mirror of
https://github.com/luxfi/math.git
synced 2026-07-27 03:38:49 +00:00
Hanzo AI
e018a9c3d1
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.
48 lines
1.2 KiB
Go
48 lines
1.2 KiB
Go
// Copyright (c) 2026 Lux Industries Inc.
|
|
// SPDX-License-Identifier: BSD-3-Clause
|
|
|
|
package rns
|
|
|
|
import "testing"
|
|
|
|
func TestNewBasis_Pulsar(t *testing.T) {
|
|
// Pulsar canonical Q is single-prime; basis with one element is
|
|
// the degenerate RNS case (no chain reduction).
|
|
b, err := NewBasis([]uint64{0x1000000004A01}, "pulsar-q")
|
|
if err != nil {
|
|
t.Fatalf("NewBasis: %v", err)
|
|
}
|
|
if b.Levels() != 1 {
|
|
t.Errorf("Levels = %d, want 1", b.Levels())
|
|
}
|
|
}
|
|
|
|
func TestNewBasis_TwoPrime(t *testing.T) {
|
|
// Synthetic two-prime tower.
|
|
b, err := NewBasis([]uint64{0x1000000004A01, 0x1000000007EE1}, "two-prime")
|
|
if err != nil {
|
|
t.Fatalf("NewBasis: %v", err)
|
|
}
|
|
if b.Levels() != 2 {
|
|
t.Errorf("Levels = %d, want 2", b.Levels())
|
|
}
|
|
if b.Moduli[0].Q != 0x1000000004A01 {
|
|
t.Errorf("Moduli[0].Q = %#x", b.Moduli[0].Q)
|
|
}
|
|
if b.Moduli[1].Q != 0x1000000007EE1 {
|
|
t.Errorf("Moduli[1].Q = %#x", b.Moduli[1].Q)
|
|
}
|
|
}
|
|
|
|
func TestNewBasis_Empty(t *testing.T) {
|
|
if _, err := NewBasis(nil, "empty"); err == nil {
|
|
t.Error("NewBasis(nil): no error")
|
|
}
|
|
}
|
|
|
|
func TestNewBasis_RejectsEvenPrime(t *testing.T) {
|
|
if _, err := NewBasis([]uint64{8}, "even"); err == nil {
|
|
t.Error("NewBasis(even): no error")
|
|
}
|
|
}
|