diff --git a/.vscode/launch.json b/.vscode/launch.json new file mode 100644 index 00000000..4eafd473 --- /dev/null +++ b/.vscode/launch.json @@ -0,0 +1,18 @@ +{ + // Use IntelliSense to learn about possible attributes. + // Hover to view descriptions of existing attributes. + // For more information, visit: https://go.microsoft.com/fwlink/?linkid=830387 + "version": "0.2.0", + "configurations": [ + { + "type": "pwa-node", + "request": "launch", + "name": "Launch Program", + "skipFiles": [ + "/**" + ], + "program": "${workspaceFolder}/calcoptimizedposeidonconsts/test_poseidon.js", + "cwd": "${workspaceFolder}/calcoptimizedposeidonconsts" + } + ] +} \ No newline at end of file diff --git a/src/poseidon.js b/src/poseidon.js index c4f78fa7..d1f1c3fd 100644 --- a/src/poseidon.js +++ b/src/poseidon.js @@ -3,12 +3,12 @@ const Scalar = require("ffjavascript").Scalar; const ZqField = require("ffjavascript").ZqField; const { unstringifyBigInts } = require("ffjavascript").utils; -// Prime 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 -const F = new ZqField(Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617")); +// const F = new ZqField(Scalar.fromString("0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001")); // bls +const F = new ZqField(Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617")); // bn128 // Parameters are generated by a reference script https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/generate_parameters_grain.sage // Used like so: sage generate_parameters_grain.sage 1 0 254 2 8 56 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 -const { C, M } = unstringifyBigInts(require("./poseidon_constants.json")); +const opt = unstringifyBigInts(require("./poseidon_constants_opt.json")); // Using recommended parameters from whitepaper https://eprint.iacr.org/2019/458.pdf (table 2, table 8) // Generated by https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/calc_round_numbers.py @@ -25,22 +25,56 @@ function poseidon(inputs) { const t = inputs.length + 1; const nRoundsF = N_ROUNDS_F; const nRoundsP = N_ROUNDS_P[t - 2]; + const C = opt.C[t-2]; + const S = opt.S[t-2]; + const M = opt.M[t-2]; + const P = opt.P[t-2]; let state = [F.zero, ...inputs.map(a => F.e(a))]; - for (let r = 0; r < nRoundsF + nRoundsP; r++) { - state = state.map((a, i) => F.add(a, C[t - 2][r * t + i])); - if (r < nRoundsF / 2 || r >= nRoundsF / 2 + nRoundsP) { - state = state.map(a => pow5(a)); - } else { - state[0] = pow5(state[0]); - } + state = state.map((a, i) => F.add(a, C[i])); + + for (let r = 0; r < nRoundsF/2-1; r++) { + state = state.map(a => pow5(a)); + state = state.map((a, i) => F.add(a, C[(r +1)* t +i])); + state = state.map((_, i) => + state.reduce((acc, a, j) => F.add(acc, F.mul(M[j][i], a)), F.zero) + ); + } + state = state.map(a => pow5(a)); + state = state.map((a, i) => F.add(a, C[(nRoundsF/2-1 +1)* t +i])); + state = state.map((_, i) => + state.reduce((acc, a, j) => F.add(acc, F.mul(P[j][i], a)), F.zero) + ); + for (let r = 0; r < nRoundsP; r++) { + state[0] = pow5(state[0]); + state[0] = F.add(state[0], C[(nRoundsF/2 +1)*t + r]); + + const s0 = state.reduce((acc, a, j) => { + return F.add(acc, F.mul(S[(t*2-1)*r+j], a)); + }, F.zero); + for (let k=1; k pow5(a)); + state = state.map((a, i) => F.add(a, C[ (nRoundsF/2 +1)*t + nRoundsP + r*t + i ])); state = state.map((_, i) => - state.reduce((acc, a, j) => F.add(acc, F.mul(M[t - 2][i][j], a)), F.zero) + state.reduce((acc, a, j) => F.add(acc, F.mul(M[j][i], a)), F.zero) ); } + state = state.map(a => pow5(a)); + state = state.map((_, i) => + state.reduce((acc, a, j) => F.add(acc, F.mul(M[j][i], a)), F.zero) + ); + return F.normalize(state[0]); } module.exports = poseidon; + + + diff --git a/src/poseidon_constants_opt.json b/src/poseidon_constants_opt.json new file mode 100644 index 00000000..6a6811c4 --- /dev/null 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ZqField = require("ffjavascript").ZqField; +const { unstringifyBigInts } = require("ffjavascript").utils; + + +// Version to write in hexadecimal +function stringifyBigInts(o) { + if ((typeof(o) == "bigint") || o.eq !== undefined) { + return "0x"+o.toString(16); + } else if (o instanceof Uint8Array) { + return Scalar.fromRprLE(o, 0); + } else if (Array.isArray(o)) { + return o.map(stringifyBigInts); + } else if (typeof o == "object") { + const res = {}; + const keys = Object.keys(o); + keys.forEach( (k) => { + res[k] = stringifyBigInts(o[k]); + }); + return res; + } else { + return o; + } +} + +const { C, M } = unstringifyBigInts(require("./poseidon_constants.json")); + +const N_ROUNDS_F = 8; +const N_ROUNDS_P = [56, 57, 56, 60, 60, 63, 64, 63, 60, 66, 60, 65, 70, 60, 64, 68]; + + +function matrix_inverse(Fr, A) { + const m = A.length; + const B=[]; + for (let i=0; i=0; i--) { + for (let i2=i+1; i20) S = S + ", "; + S = S + Fr.toString(A[i][j]); + } + console.log(S); + } +} + +function vec_print(Fr, v) { + for (let i=0; i=nRoundsF/2; r--) { + const accp = vec_mul_matrix(Fr, acc, Minv); + partialConst.push(accp[0]); + accp[0] = Fr.zero; + for (let k=0; k0) &&(j>0)) { + m_hat[i-1][j-1] = m[i][j]; + mp[i][j] = m[i][j]; + } else { + mp[i][j] = ((i==0)&&(j==0)) ? Fr.one : Fr.zero; + } + if ((i>0)&&(j==0)) w[i-1] = m[i][j]; + } + } + const m_hat_inv = matrix_inverse(Fr, m_hat); + const wp = matrix_mul_vec(Fr, m_hat_inv, w); + + const S = []; + + S.push(m[0][0]); + for (let k=0; k { + process.exit(0); +}, (err) => { +// console.log(err); + console.log(err.stack); + process.exit(1); +}); \ No newline at end of file diff --git a/src/poseidon_slow.js b/src/poseidon_slow.js new file mode 100644 index 00000000..c4f78fa7 --- /dev/null +++ b/src/poseidon_slow.js @@ -0,0 +1,46 @@ +const assert = require("assert"); +const Scalar = require("ffjavascript").Scalar; +const ZqField = require("ffjavascript").ZqField; +const { unstringifyBigInts } = require("ffjavascript").utils; + +// Prime 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 +const F = new ZqField(Scalar.fromString("21888242871839275222246405745257275088548364400416034343698204186575808495617")); + +// Parameters are generated by a reference script https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/generate_parameters_grain.sage +// Used like so: sage generate_parameters_grain.sage 1 0 254 2 8 56 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001 +const { C, M } = unstringifyBigInts(require("./poseidon_constants.json")); + +// Using recommended parameters from whitepaper https://eprint.iacr.org/2019/458.pdf (table 2, table 8) +// Generated by https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/calc_round_numbers.py +// And rounded up to nearest integer that divides by t +const N_ROUNDS_F = 8; +const N_ROUNDS_P = [56, 57, 56, 60, 60, 63, 64, 63, 60, 66, 60, 65, 70, 60, 64, 68]; + +const pow5 = a => F.mul(a, F.square(F.square(a, a))); + +function poseidon(inputs) { + assert(inputs.length > 0); + assert(inputs.length < N_ROUNDS_P.length - 1); + + const t = inputs.length + 1; + const nRoundsF = N_ROUNDS_F; + const nRoundsP = N_ROUNDS_P[t - 2]; + + let state = [F.zero, ...inputs.map(a => F.e(a))]; + for (let r = 0; r < nRoundsF + nRoundsP; r++) { + state = state.map((a, i) => F.add(a, C[t - 2][r * t + i])); + + if (r < nRoundsF / 2 || r >= nRoundsF / 2 + nRoundsP) { + state = state.map(a => pow5(a)); + } else { + state[0] = pow5(state[0]); + } + + state = state.map((_, i) => + state.reduce((acc, a, j) => F.add(acc, F.mul(M[t - 2][i][j], a)), F.zero) + ); + } + return F.normalize(state[0]); +} + +module.exports = poseidon;