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Original file line number | Diff line number | Diff line change |
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package poseidon | ||
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import ( | ||
"errors" | ||
"math/big" | ||
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"github.com/consensys/gnark-crypto/ecc" | ||
poseidonbls12377 "github.com/consensys/gnark-crypto/ecc/bls12-377/fr/poseidon2" | ||
poseidonbls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381/fr/poseidon2" | ||
poseidonbls24315 "github.com/consensys/gnark-crypto/ecc/bls24-315/fr/poseidon2" | ||
poseidonbls24317 "github.com/consensys/gnark-crypto/ecc/bls24-317/fr/poseidon2" | ||
poseidonbn254 "github.com/consensys/gnark-crypto/ecc/bn254/fr/poseidon2" | ||
poseidonbw6633 "github.com/consensys/gnark-crypto/ecc/bw6-633/fr/poseidon2" | ||
poseidonbw6761 "github.com/consensys/gnark-crypto/ecc/bw6-761/fr/poseidon2" | ||
"github.com/consensys/gnark/frontend" | ||
) | ||
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var ( | ||
ErrInvalidSizebuffer = errors.New("the size of the input should match the size of the hash buffer") | ||
) | ||
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type Hash struct { | ||
params parameters | ||
} | ||
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// parameters describing the poseidon2 implementation | ||
type parameters struct { | ||
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// len(preimage)+len(digest)=len(preimage)+ceil(log(2*<security_level>/r)) | ||
t int | ||
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// sbox degree | ||
d int | ||
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// number of full rounds (even number) | ||
rF int | ||
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// number of partial rounds | ||
rP int | ||
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// diagonal elements of the internal matrices, minus one | ||
diagInternalMatrices []big.Int | ||
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// round keys | ||
roundKeys [][]big.Int | ||
} | ||
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func NewHash(t, d, rf, rp int, seed string, curve ecc.ID) Hash { | ||
params := parameters{t: t, d: d, rF: rf, rP: rp} | ||
if curve == ecc.BN254 { | ||
rc := poseidonbn254.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BLS12_381 { | ||
rc := poseidonbls12381.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BLS12_377 { | ||
rc := poseidonbls12377.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BW6_761 { | ||
rc := poseidonbw6761.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BW6_633 { | ||
rc := poseidonbw6633.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BLS24_315 { | ||
rc := poseidonbls24315.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} else if curve == ecc.BLS24_317 { | ||
rc := poseidonbls24317.InitRC(seed, rf, rp, t) | ||
params.roundKeys = make([][]big.Int, len(rc)) | ||
for i := 0; i < len(rc); i++ { | ||
params.roundKeys[i] = make([]big.Int, len(rc[i])) | ||
for j := 0; j < len(rc[i]); j++ { | ||
rc[i][j].BigInt(¶ms.roundKeys[i][j]) | ||
} | ||
} | ||
} | ||
return Hash{params: params} | ||
} | ||
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// sBox applies the sBox on buffer[index] | ||
func (h *Hash) sBox(api frontend.API, index int, input []frontend.Variable) { | ||
tmp := input[index] | ||
if h.params.d == 3 { | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(tmp, input[index]) | ||
} else if h.params.d == 5 { | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], tmp) | ||
} else if h.params.d == 7 { | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], tmp) | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], tmp) | ||
} else if h.params.d == 17 { | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], input[index]) | ||
input[index] = api.Mul(input[index], tmp) | ||
} else if h.params.d == -1 { | ||
input[index] = api.Inverse(input[index]) | ||
} | ||
} | ||
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// matMulM4 computes | ||
// s <- M4*s | ||
// where M4= | ||
// (5 7 1 3) | ||
// (4 6 1 1) | ||
// (1 3 5 7) | ||
// (1 1 4 6) | ||
// on chunks of 4 elemts on each part of the buffer | ||
// see https://eprint.iacr.org/2023/323.pdf appendix B for the addition chain | ||
func (h *Hash) matMulM4InPlace(api frontend.API, s []frontend.Variable) { | ||
c := len(s) / 4 | ||
for i := 0; i < c; i++ { | ||
t0 := api.Add(s[4*i], s[4*i+1]) // s0+s1 | ||
t1 := api.Add(s[4*i+2], s[4*i+3]) // s2+s3 | ||
t2 := api.Mul(s[4*i+1], 2) | ||
t2 = api.Add(t2, t1) // 2s1+t1 | ||
t3 := api.Mul(s[4*i+3], 2) | ||
t3 = api.Add(t3, t0) // 2s3+t0 | ||
t4 := api.Mul(t1, 4) | ||
t4 = api.Add(t4, t3) // 4t1+t3 | ||
t5 := api.Mul(t0, 4) | ||
t5 = api.Add(t5, t2) // 4t0+t2 | ||
t6 := api.Add(t3, t5) // t3+t5 | ||
t7 := api.Add(t2, t4) // t2+t4 | ||
s[4*i] = t6 | ||
s[4*i+1] = t5 | ||
s[4*i+2] = t7 | ||
s[4*i+3] = t4 | ||
} | ||
} | ||
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// when t=2,3 the buffer is multiplied by circ(2,1) and circ(2,1,1) | ||
// see https://eprint.iacr.org/2023/323.pdf page 15, case t=2,3 | ||
// | ||
// when t=0[4], the buffer is multiplied by circ(2M4,M4,..,M4) | ||
// see https://eprint.iacr.org/2023/323.pdf | ||
func (h *Hash) matMulExternalInPlace(api frontend.API, input []frontend.Variable) { | ||
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if h.params.t == 2 { | ||
tmp := api.Add(input[0], input[1]) | ||
input[0] = api.Add(tmp, input[0]) | ||
input[1] = api.Add(tmp, input[1]) | ||
} else if h.params.t == 3 { | ||
var tmp frontend.Variable | ||
tmp = api.Add(input[0], input[1]) | ||
tmp = api.Add(tmp, input[2]) | ||
input[0] = api.Add(input[0], tmp) | ||
input[1] = api.Add(input[1], tmp) | ||
input[2] = api.Add(input[2], tmp) | ||
} else if h.params.t == 4 { | ||
h.matMulM4InPlace(api, input) | ||
} else { | ||
// at this stage t is supposed to be a multiple of 4 | ||
// the MDS matrix is circ(2M4,M4,..,M4) | ||
h.matMulM4InPlace(api, input) | ||
tmp := make([]frontend.Variable, 4) | ||
for i := 0; i < h.params.t/4; i++ { | ||
tmp[0] = api.Add(tmp[0], input[4*i]) | ||
tmp[1] = api.Add(tmp[1], input[4*i+1]) | ||
tmp[2] = api.Add(tmp[2], input[4*i+2]) | ||
tmp[3] = api.Add(tmp[3], input[4*i+3]) | ||
} | ||
for i := 0; i < h.params.t/4; i++ { | ||
input[4*i] = api.Add(input[4*i], tmp[0]) | ||
input[4*i+1] = api.Add(input[4*i], tmp[1]) | ||
input[4*i+2] = api.Add(input[4*i], tmp[2]) | ||
input[4*i+3] = api.Add(input[4*i], tmp[3]) | ||
} | ||
} | ||
} | ||
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// when t=2,3 the matrix are respectibely [[2,1][1,3]] and [[2,1,1][1,2,1][1,1,3]] | ||
// otherwise the matrix is filled with ones except on the diagonal, | ||
func (h *Hash) matMulInternalInPlace(api frontend.API, input []frontend.Variable) { | ||
if h.params.t == 2 { | ||
sum := api.Add(input[0], input[1]) | ||
input[0] = api.Add(input[0], sum) | ||
input[1] = api.Mul(2, input[1]) | ||
input[1] = api.Add(input[1], sum) | ||
} else if h.params.t == 3 { | ||
var sum frontend.Variable | ||
sum = api.Add(input[0], input[1]) | ||
sum = api.Add(sum, input[2]) | ||
input[0] = api.Add(input[0], sum) | ||
input[1] = api.Add(input[1], sum) | ||
input[2] = api.Mul(input[2], 2) | ||
input[2] = api.Add(input[2], sum) | ||
} else { | ||
var sum frontend.Variable | ||
sum = input[0] | ||
for i := 1; i < h.params.t; i++ { | ||
sum = api.Add(sum, input[i]) | ||
} | ||
for i := 0; i < h.params.t; i++ { | ||
input[i] = api.Mul(input[i], h.params.diagInternalMatrices[i]) | ||
input[i] = api.Add(input[i], sum) | ||
} | ||
} | ||
} | ||
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// addRoundKeyInPlace adds the round-th key to the buffer | ||
func (h *Hash) addRoundKeyInPlace(api frontend.API, round int, input []frontend.Variable) { | ||
for i := 0; i < len(h.params.roundKeys[round]); i++ { | ||
input[i] = api.Add(input[i], h.params.roundKeys[round][i]) | ||
} | ||
} | ||
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func (h *Hash) Permutation(api frontend.API, input []frontend.Variable) error { | ||
if len(input) != h.params.t { | ||
return ErrInvalidSizebuffer | ||
} | ||
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// external matrix multiplication, cf https://eprint.iacr.org/2023/323.pdf page 14 (part 6) | ||
h.matMulExternalInPlace(api, input) | ||
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rf := h.params.rF / 2 | ||
for i := 0; i < rf; i++ { | ||
// one round = matMulExternal(sBox_Full(addRoundKey)) | ||
h.addRoundKeyInPlace(api, i, input) | ||
for j := 0; j < h.params.t; j++ { | ||
h.sBox(api, j, input) | ||
} | ||
h.matMulExternalInPlace(api, input) | ||
} | ||
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for i := rf; i < rf+h.params.rP; i++ { | ||
// one round = matMulInternal(sBox_sparse(addRoundKey)) | ||
h.addRoundKeyInPlace(api, i, input) | ||
h.sBox(api, 0, input) | ||
h.matMulInternalInPlace(api, input) | ||
} | ||
for i := rf + h.params.rP; i < h.params.rF+h.params.rP; i++ { | ||
// one round = matMulExternal(sBox_Full(addRoundKey)) | ||
h.addRoundKeyInPlace(api, i, input) | ||
for j := 0; j < h.params.t; j++ { | ||
h.sBox(api, j, input) | ||
} | ||
h.matMulExternalInPlace(api, input) | ||
} | ||
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return nil | ||
} |
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