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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.
29 lines
906 B
AMPL
29 lines
906 B
AMPL
module github.com/luxfi/math
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go 1.26.1
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require (
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github.com/luxfi/ids v1.2.7
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github.com/luxfi/lattice/v7 v7.1.0
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github.com/luxfi/math/big v0.1.0
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github.com/luxfi/sampler v1.0.0
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github.com/stretchr/testify v1.11.1
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github.com/zeebo/blake3 v0.2.4
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golang.org/x/exp v0.0.0-20260312153236-7ab1446f8b90
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)
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require (
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github.com/ALTree/bigfloat v0.2.0 // indirect
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github.com/davecgh/go-spew v1.1.2-0.20180830191138-d8f796af33cc // indirect
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github.com/google/go-cmp v0.7.0 // indirect
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github.com/klauspost/cpuid/v2 v2.3.0 // indirect
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github.com/kr/text v0.2.0 // indirect
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github.com/luxfi/crypto v1.17.36 // indirect
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github.com/mr-tron/base58 v1.2.0 // indirect
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github.com/pmezard/go-difflib v1.0.1-0.20181226105442-5d4384ee4fb2 // indirect
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golang.org/x/crypto v0.49.0 // indirect
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golang.org/x/sys v0.42.0 // indirect
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gonum.org/v1/gonum v0.17.0 // indirect
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gopkg.in/yaml.v3 v3.0.1 // indirect
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)
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