From 055147f1bee55c94ceaae1fc9cf934e6e694336f Mon Sep 17 00:00:00 2001
From: Paul Miller <paul@paulmillr.com>
Date: Mon, 23 Jan 2023 18:41:19 +0000
Subject: [PATCH] Add poseidon252 snark-friendly hash

---
 benchmark/index.js         |    9 +
 package.json               |    7 +-
 src/abstract/poseidon.ts   |  117 ++++
 src/stark.ts               |   91 ++-
 test/poseidon.test.js      |  375 +++++++++++++
 test/vectors/poseidon.json | 1080 ++++++++++++++++++++++++++++++++++++
 6 files changed, 1673 insertions(+), 6 deletions(-)
 create mode 100644 src/abstract/poseidon.ts
 create mode 100644 test/poseidon.test.js
 create mode 100644 test/vectors/poseidon.json

diff --git a/benchmark/index.js b/benchmark/index.js
index 1ef86b4..e1f4756 100644
--- a/benchmark/index.js
+++ b/benchmark/index.js
@@ -219,6 +219,15 @@ export const CURVES = {
         );
       },
     },
+    poseidon: {
+      samples: 2000,
+      noble: () => {
+        return stark.poseidonHash(
+          0x3d937c035c878245caf64531a5756109c53068da139362728feb561405371cbn,
+          0x208a0a10250e382e1e4bbe2880906c2791bf6275695e02fbbc6aeff9cd8b31an
+        );
+      },
+    },
     verify: {
       samples: 500,
       old: ({ publicKeyStark, msgHash, keyPair }) => {
diff --git a/package.json b/package.json
index 1c99d38..44f226a 100644
--- a/package.json
+++ b/package.json
@@ -83,6 +83,11 @@
       "import": "./lib/esm/abstract/utils.js",
       "default": "./lib/abstract/utils.js"
     },
+    "./abstract/poseidon": {
+      "types": "./lib/abstract/poseidon.d.ts",
+      "import": "./lib/esm/abstract/poseidon.js",
+      "default": "./lib/abstract/poseidon.js"
+    },
     "./_shortw_utils": {
       "types": "./lib/_shortw_utils.d.ts",
       "import": "./lib/esm/_shortw_utils.js",
@@ -189,4 +194,4 @@
       "url": "https://paulmillr.com/funding/"
     }
   ]
-}
+}
\ No newline at end of file
diff --git a/src/abstract/poseidon.ts b/src/abstract/poseidon.ts
new file mode 100644
index 0000000..82a8ca3
--- /dev/null
+++ b/src/abstract/poseidon.ts
@@ -0,0 +1,117 @@
+// Poseidon Hash (https://eprint.iacr.org/2019/458.pdf)
+// Website: https://www.poseidon-hash.info
+
+import * as mod from './modular.js';
+// NOTE: we currently don't provide any constants, since different implementations use diffferent constants
+// For reference constants see './test/poseidon.test.js'
+export type PoseidonOpts = {
+  Fp: mod.Field<bigint>;
+  t: number;
+  roundsFull: number;
+  roundsPartial: number;
+  sboxPower?: number;
+  reversePartialPowIdx?: boolean; // Hack for stark
+  mds: bigint[][];
+  roundConstants: bigint[][];
+};
+
+export function validateOpts(opts: PoseidonOpts) {
+  const { Fp } = opts;
+  mod.validateField(Fp);
+  for (const i of ['t', 'roundsFull', 'roundsPartial'] as const) {
+    if (typeof opts[i] !== 'number' || !Number.isSafeInteger(opts[i]))
+      throw new Error(`Poseidon: invalid param ${i}=${opts[i]} (${typeof opts[i]})`);
+  }
+  if (opts.reversePartialPowIdx !== undefined && typeof opts.reversePartialPowIdx !== 'boolean')
+    throw new Error(`Poseidon: invalid param reversePartialPowIdx=${opts.reversePartialPowIdx}`);
+  // Default is 5, but by some reasons stark uses 3
+  let sboxPower = opts.sboxPower;
+  if (sboxPower === undefined) sboxPower = 5;
+  if (typeof sboxPower !== 'number' || !Number.isSafeInteger(sboxPower))
+    throw new Error(`Poseidon wrong sboxPower=${sboxPower}`);
+
+  const _sboxPower = BigInt(sboxPower);
+  let sboxFn = (n: bigint) => mod.FpPow(Fp, n, _sboxPower);
+  // Unwrapped sbox power for common cases (195->142μs)
+  if (sboxPower === 3) sboxFn = (n: bigint) => Fp.mul(Fp.squareN(n), n);
+  else if (sboxPower === 5) sboxFn = (n: bigint) => Fp.mul(Fp.squareN(Fp.squareN(n)), n);
+
+  if (opts.roundsFull % 2 !== 0)
+    throw new Error(`Poseidon roundsFull is not even: ${opts.roundsFull}`);
+  const rounds = opts.roundsFull + opts.roundsPartial;
+
+  if (!Array.isArray(opts.roundConstants) || opts.roundConstants.length !== rounds)
+    throw new Error('Poseidon: wrong round constants');
+  const roundConstants = opts.roundConstants.map((rc) => {
+    if (!Array.isArray(rc) || rc.length !== opts.t)
+      throw new Error(`Poseidon wrong round constants: ${rc}`);
+    return rc.map((i) => {
+      if (typeof i !== 'bigint' || !Fp.isValid(i))
+        throw new Error(`Poseidon wrong round constant=${i}`);
+      return Fp.create(i);
+    });
+  });
+  // MDS is TxT matrix
+  if (!Array.isArray(opts.mds) || opts.mds.length !== opts.t)
+    throw new Error('Poseidon: wrong MDS matrix');
+  const mds = opts.mds.map((mdsRow) => {
+    if (!Array.isArray(mdsRow) || mdsRow.length !== opts.t)
+      throw new Error(`Poseidon MDS matrix row: ${mdsRow}`);
+    return mdsRow.map((i) => {
+      if (typeof i !== 'bigint') throw new Error(`Poseidon MDS matrix value=${i}`);
+      return Fp.create(i);
+    });
+  });
+  return Object.freeze({ ...opts, rounds, sboxFn, roundConstants, mds });
+}
+
+export function splitConstants(rc: bigint[], t: number) {
+  if (typeof t !== 'number') throw new Error('poseidonSplitConstants: wrong t');
+  if (!Array.isArray(rc) || rc.length % t) throw new Error('poseidonSplitConstants: wrong rc');
+  const res = [];
+  let tmp = [];
+  for (let i = 0; i < rc.length; i++) {
+    tmp.push(rc[i]);
+    if (tmp.length === t) {
+      res.push(tmp);
+      tmp = [];
+    }
+  }
+  return res;
+}
+
+export function poseidon(opts: PoseidonOpts) {
+  const { t, Fp, rounds, sboxFn, reversePartialPowIdx } = validateOpts(opts);
+  const halfRoundsFull = Math.floor(opts.roundsFull / 2);
+  const partialIdx = reversePartialPowIdx ? t - 1 : 0;
+  const poseidonRound = (values: bigint[], isFull: boolean, idx: number) => {
+    values = values.map((i, j) => Fp.add(i, opts.roundConstants[idx][j]));
+
+    if (isFull) values = values.map((i) => sboxFn(i));
+    else values[partialIdx] = sboxFn(values[partialIdx]);
+    // Matrix multiplication
+    values = opts.mds.map((i) =>
+      i.reduce((acc, i, j) => Fp.add(acc, Fp.mulN(i, values[j])), Fp.ZERO)
+    );
+    return values;
+  };
+  return function poseidonHash(values: bigint[]) {
+    if (!Array.isArray(values) || values.length !== t)
+      throw new Error(`Poseidon: wrong values (expected array of bigints with length ${t})`);
+    values = values.map((i) => {
+      if (typeof i !== 'bigint') throw new Error(`Poseidon: wrong value=${i} (${typeof i})`);
+      return Fp.create(i);
+    });
+    let round = 0;
+    // Apply r_f/2 full rounds.
+    for (let i = 0; i < halfRoundsFull; i++) values = poseidonRound(values, true, round++);
+    // Apply r_p partial rounds.
+    for (let i = 0; i < opts.roundsPartial; i++) values = poseidonRound(values, false, round++);
+    // Apply r_f/2 full rounds.
+    for (let i = 0; i < halfRoundsFull; i++) values = poseidonRound(values, true, round++);
+
+    if (round !== rounds)
+      throw new Error(`Poseidon: wrong number of rounds: last round=${round}, total=${rounds}`);
+    return values;
+  };
+}
diff --git a/src/stark.ts b/src/stark.ts
index 6281e6a..70185cb 100644
--- a/src/stark.ts
+++ b/src/stark.ts
@@ -3,8 +3,10 @@ import { keccak_256 } from '@noble/hashes/sha3';
 import { sha256 } from '@noble/hashes/sha256';
 import { weierstrass, ProjectivePointType } from './abstract/weierstrass.js';
 import * as cutils from './abstract/utils.js';
-import { Fp, mod } from './abstract/modular.js';
+import { Fp, mod, Field, validateField } from './abstract/modular.js';
 import { getHash } from './_shortw_utils.js';
+import * as poseidon from './abstract/poseidon.js';
+import { utf8ToBytes } from '@noble/hashes/utils';
 
 type ProjectivePoint = ProjectivePointType<bigint>;
 // Stark-friendly elliptic curve
@@ -138,12 +140,12 @@ function hashKeyWithIndex(key: Uint8Array, index: number) {
 export function grindKey(seed: Hex) {
   const _seed = ensureBytes0x(seed);
   const sha256mask = 2n ** 256n;
-  const Fn = Fp(CURVE.n);
-  const limit = sha256mask - Fn.create(sha256mask);
+
+  const limit = sha256mask - mod(sha256mask, CURVE_N);
   for (let i = 0; ; i++) {
     const key = hashKeyWithIndex(_seed, i);
     // key should be in [0, limit)
-    if (key < limit) return Fn.create(key).toString(16);
+    if (key < limit) return mod(key, CURVE_N).toString(16);
   }
 }
 
@@ -261,5 +263,84 @@ export function hashChain(data: PedersenArg[], fn = pedersen) {
 export const computeHashOnElements = (data: PedersenArg[], fn = pedersen) =>
   [0, ...data, data.length].reduce((x, y) => fn(x, y));
 
-const MASK_250 = 2n ** 250n - 1n;
+const MASK_250 = cutils.bitMask(250);
 export const keccak = (data: Uint8Array) => bytesToNumber0x(keccak_256(data)) & MASK_250;
+
+// Poseidon hash
+export const Fp253 = Fp(
+  BigInt('14474011154664525231415395255581126252639794253786371766033694892385558855681')
+); // 2^253 + 2^199 + 1
+export const Fp251 = Fp(
+  BigInt('3618502788666131213697322783095070105623107215331596699973092056135872020481')
+); // 2^251 + 17 * 2^192 + 1
+
+function poseidonRoundConstant(Fp: Field<bigint>, name: string, idx: number) {
+  const val = Fp.fromBytes(sha256(utf8ToBytes(`${name}${idx}`)));
+  return Fp.create(val);
+}
+
+// NOTE: doesn't check eiginvalues and possible can create unsafe matrix. But any filtration here will break compatibility with starknet
+// Please use only if you really know what you doing.
+// https://eprint.iacr.org/2019/458.pdf Section 2.3 (Avoiding Insecure Matrices)
+export function _poseidonMDS(Fp: Field<bigint>, name: string, m: number, attempt = 0) {
+  const x_values: bigint[] = [];
+  const y_values: bigint[] = [];
+  for (let i = 0; i < m; i++) {
+    x_values.push(poseidonRoundConstant(Fp, `${name}x`, attempt * m + i));
+    y_values.push(poseidonRoundConstant(Fp, `${name}y`, attempt * m + i));
+  }
+  if (new Set([...x_values, ...y_values]).size !== 2 * m)
+    throw new Error('X and Y values are not distinct');
+  return x_values.map((x) => y_values.map((y) => Fp.invert(Fp.sub(x, y))));
+}
+
+const MDS_SMALL = [
+  [3, 1, 1],
+  [1, -1, 1],
+  [1, 1, -2],
+].map((i) => i.map(BigInt));
+
+export type PoseidonOpts = {
+  Fp: Field<bigint>;
+  rate: number;
+  capacity: number;
+  roundsFull: number;
+  roundsPartial: number;
+};
+
+function poseidonBasic(opts: PoseidonOpts, mds: bigint[][]) {
+  validateField(opts.Fp);
+  if (!Number.isSafeInteger(opts.rate) || !Number.isSafeInteger(opts.capacity))
+    throw new Error(`Wrong poseidon opts: ${opts}`);
+  const m = opts.rate + opts.capacity;
+  const rounds = opts.roundsFull + opts.roundsPartial;
+  const roundConstants = [];
+  for (let i = 0; i < rounds; i++) {
+    const row = [];
+    for (let j = 0; j < m; j++) row.push(poseidonRoundConstant(opts.Fp, 'Hades', m * i + j));
+    roundConstants.push(row);
+  }
+  return poseidon.poseidon({
+    ...opts,
+    t: m,
+    sboxPower: 3,
+    reversePartialPowIdx: true, // Why?!
+    mds,
+    roundConstants,
+  });
+}
+
+export function poseidonCreate(opts: PoseidonOpts, mdsAttempt = 0) {
+  const m = opts.rate + opts.capacity;
+  if (!Number.isSafeInteger(mdsAttempt)) throw new Error(`Wrong mdsAttempt=${mdsAttempt}`);
+  return poseidonBasic(opts, _poseidonMDS(opts.Fp, 'HadesMDS', m, mdsAttempt));
+}
+
+export const poseidonSmall = poseidonBasic(
+  { Fp: Fp251, rate: 2, capacity: 1, roundsFull: 8, roundsPartial: 83 },
+  MDS_SMALL
+);
+
+export function poseidonHash(x: bigint, y: bigint, fn = poseidonSmall) {
+  return fn([x, y, 2n])[0];
+}
diff --git a/test/poseidon.test.js b/test/poseidon.test.js
new file mode 100644
index 0000000..ef94eb4
--- /dev/null
+++ b/test/poseidon.test.js
@@ -0,0 +1,375 @@
+import { deepStrictEqual, throws } from 'assert';
+import { should, describe } from 'micro-should';
+import * as poseidon from '../lib/esm/abstract/poseidon.js';
+import * as stark from '../lib/esm/stark.js';
+import * as mod from '../lib/esm/abstract/modular.js';
+import { default as pvectors } from './vectors/poseidon.json' assert { type: 'json' };
+const { st1, st2, st3, st4 } = pvectors;
+
+describe('Stark', () => {
+  should('poseidonMdsMatrixUnsafe', () => {
+    const matrix = [
+      [
+        2778560475384578201077246683568670693743746494974613838537993780462451025202n,
+        1175299404131241652930097281601393692628174430208909163156444576599667748918n,
+        459930634481240293374476654621049426021644833445120509139335338093973616187n,
+      ],
+      [
+        2699370377471722242958186781613316939129713429759631049128040020458992590651n,
+        1488831960940040807419416081499284128899207850625157044437836107358246188803n,
+        3405112981980800875534081635548548562399171531483475155039499736396630179833n,
+      ],
+
+      [
+        1860070716810022053527433635909648527418980081585070357136946388030401399342n,
+        2606527819893847364468965441606872534271438365089422719512470850627617054272n,
+        2715867691630559973784374069384091521307896505826088878858115800121387149186n,
+      ],
+    ];
+    deepStrictEqual(stark._poseidonMDS(stark.Fp251, 'HadesMDS', 3, 0), matrix);
+  });
+
+  should('HadesPermutation', () => {
+    deepStrictEqual(
+      stark.poseidonSmall([
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n,
+        1081797873147645298856697595691862435558345225505029083672323747888463248125n,
+      ]),
+      [
+        1342232677189718451682683203787286758407058155581807117466384919996430343159n,
+        380853961496438693334706417244065195303131974442781224856980145160981376662n,
+        1919212703304954644851339421413808305076993030243665926017858381407659820613n,
+      ]
+    );
+  });
+  should('HadesPermutation (custom)', () => {
+    const h = stark.poseidonCreate({
+      Fp: stark.Fp251,
+      rate: 2,
+      capacity: 1,
+      roundsFull: 8,
+      roundsPartial: 83,
+    });
+    deepStrictEqual(
+      h([
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n,
+        1081797873147645298856697595691862435558345225505029083672323747888463248125n,
+      ]),
+      [
+        2864461397224564530993577865807718592436235694918699912757414692654057505365n,
+        1576206983934669422583425346343473837630736957734769961428118554039862202613n,
+        1607006208879950753054674913136990521997740361932184292107790666308092455675n,
+      ]
+    );
+  });
+  should('HadesPermutation (custom, Fp253)', () => {
+    const h = stark.poseidonCreate({
+      Fp: stark.Fp253,
+      rate: 2,
+      capacity: 1,
+      roundsFull: 8,
+      roundsPartial: 83,
+    });
+    deepStrictEqual(
+      h([
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n,
+        1081797873147645298856697595691862435558345225505029083672323747888463248125n,
+      ]),
+      [
+        11142411210283675631592374649001218595612035205233832049083369488791454026844n,
+        98304838055259883374145304326851527594402230455144399354815642835291000581n,
+        8643534790068701259242695637167859384191499281344739826454631748110172472997n,
+      ]
+    );
+  });
+  should('PoseidonHash', () => {
+    deepStrictEqual(
+      stark.poseidonHash(
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n
+      ),
+      2457757238178986673695038558497063891521456354791980183317105434323761563347n
+    );
+  });
+  should('PoseidonHash (custom)', () => {
+    const h = stark.poseidonCreate({
+      Fp: stark.Fp251,
+      rate: 2,
+      capacity: 1,
+      roundsFull: 8,
+      roundsPartial: 83,
+    });
+    deepStrictEqual(
+      stark.poseidonHash(
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n,
+        h
+      ),
+      654164301216498483748450956182386165976155551413834652546305861430119544536n
+    );
+  });
+  should('PoseidonHash (custom, Fp253)', () => {
+    const h = stark.poseidonCreate({
+      Fp: stark.Fp253,
+      rate: 2,
+      capacity: 1,
+      roundsFull: 8,
+      roundsPartial: 83,
+    });
+    deepStrictEqual(
+      stark.poseidonHash(
+        4379311784651118086770398084575492314150568148003994287303975907890254409956n,
+        5329163686893598957822497554130545759427567507701132391649270915797304266381n,
+        h
+      ),
+      9557424461253897982213839283192966960594440725760392861778010931094267239786n
+    );
+  });
+});
+// Official vectors: https://extgit.iaik.tugraz.at/krypto/hadeshash/-/blob/master/code/test_vectors.txt
+
+should('poseidonperm_x5_255_3', () => {
+  const Fp = mod.Fp(BigInt('0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001'));
+
+  const mds = [
+    [
+      0x3d955d6c02fe4d7cb500e12f2b55eff668a7b4386bd27413766713c93f2acfcdn,
+      0x3798866f4e6058035dcf8addb2cf1771fac234bcc8fc05d6676e77e797f224bfn,
+      0x2c51456a7bf2467eac813649f3f25ea896eac27c5da020dae54a6e640278fda2n,
+    ],
+    [
+      0x20088ca07bbcd7490a0218ebc0ecb31d0ea34840e2dc2d33a1a5adfecff83b43n,
+      0x1d04ba0915e7807c968ea4b1cb2d610c7f9a16b4033f02ebacbb948c86a988c3n,
+      0x5387ccd5729d7acbd09d96714d1d18bbd0eeaefb2ddee3d2ef573c9c7f953307n,
+    ],
+    [
+      0x1e208f585a72558534281562cad89659b428ec61433293a8d7f0f0e38a6726acn,
+      0x0455ebf862f0b60f69698e97d36e8aafd4d107cae2b61be1858b23a3363642e0n,
+      0x569e2c206119e89455852059f707370e2c1fc9721f6c50991cedbbf782daef54n,
+    ],
+  ];
+
+  const t = 3;
+
+  const roundConstants = poseidon.splitConstants(st1.map(BigInt), t);
+
+  const poseidon_x5_255_3 = poseidon.poseidon({
+    Fp,
+    t,
+    roundsFull: 8,
+    roundsPartial: 57,
+    mds,
+    roundConstants,
+  });
+  deepStrictEqual(
+    poseidon_x5_255_3([
+      0x0000000000000000000000000000000000000000000000000000000000000000n,
+      0x0000000000000000000000000000000000000000000000000000000000000001n,
+      0x0000000000000000000000000000000000000000000000000000000000000002n,
+    ]),
+    [
+      0x28ce19420fc246a05553ad1e8c98f5c9d67166be2c18e9e4cb4b4e317dd2a78an,
+      0x51f3e312c95343a896cfd8945ea82ba956c1118ce9b9859b6ea56637b4b1ddc4n,
+      0x3b2b69139b235626a0bfb56c9527ae66a7bf486ad8c11c14d1da0c69bbe0f79an,
+    ]
+  );
+});
+
+should('poseidonperm_x5_255_5', () => {
+  const Fp = mod.Fp(0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001n);
+  const t = 5;
+
+  const mds = [
+    [
+      0x354423b163d1078b0dd645be56316e34a9b98e52dcf9f469be44b108be46c107n,
+      0x44778737e8bc1154aca1cd92054a1e5b83808403705f7d54da88bbd1920e1053n,
+      0x5872eefb5ab6b2946556524168a2aebb69afd513a2fff91e50167b1f6e4055e0n,
+      0x43dff85b25129835819bc8c95819f1a34136f6114e900cd3656e1b9e0e13f86an,
+      0x07803d2ffe72940596803f244ac090a9cf2d3616546520bc360c7eed0b81cbf8n,
+    ],
+    [
+      0x45d6bc4b818e2b9a53e0e2c0a08f70c34167fd8128e05ac800651ddfee0932d1n,
+      0x08317abbb9e5046b22dfb79e64c8184855107c1d95dddd2b63ca10dddea9ff1an,
+      0x1bb80eba77c5dcffafb55ccba4ae39ac8f94a054f2a0ee3006b362f709d5e470n,
+      0x038e75bdcf8be7fd3a1e844c4de7333531bbd5a8d2c3779627df88e7480e7c5cn,
+      0x2dd797a699e620ea6b31b91ba3fad4a82f40cffb3e8a30c0b7a546ff69a9002bn,
+    ],
+    [
+      0x4b906f9ee339b196e958e3541b555b4b53e540a113b2f1cabba627be16eb5608n,
+      0x605f0c707b82ef287f46431f9241fe4acf0b7ddb151803cbcf1e7bbd27c3e974n,
+      0x100c514bf38f6ff10df1c83bb428397789cfff7bb0b1280f52343861e8c8737en,
+      0x2d40ce8af8a252f5611701c3d6b1e517161d0549ef27f443570c81fcdfe3706bn,
+      0x3e6418bdf0313f59afc5f40b4450e56881110ea9a0532e8092efb06a12a8b0f1n,
+    ],
+    [
+      0x71788bf7f6c0cebae5627c5629d012d5fba52428d1f25cdaa0a7434e70e014d0n,
+      0x55cc73296f7e7d26d10b9339721d7983ca06145675255025ab00b34342557db7n,
+      0x0f043b29be2def73a6c6ec92168ea4b47bc9f434a5e6b5d48677670a7ca4d285n,
+      0x62ccc9cdfed859a610f103d74ea04dec0f6874a9b36f3b4e9b47fd73368d45b4n,
+      0x55fb349dd6200b34eaba53a67e74f47d08e473da139dc47e44df50a26423d2d1n,
+    ],
+    [
+      0x45bfbe5ed2f4a01c13b15f20bba00ff577b1154a81b3f318a6aff86369a66735n,
+      0x6a008906685587af05dce9ad2c65ea1d42b1ec32609597bd00c01f58443329efn,
+      0x004feebd0dbdb9b71176a1d43c9eb495e16419382cdf7864e4bce7b37440cd58n,
+      0x09f080180ce23a5aef3a07e60b28ffeb2cf1771aefbc565c2a3059b39ed82f43n,
+      0x2f7126ddc54648ab6d02493dbe9907f29f4ef3967ad8cd609f0d9467e1694607n,
+    ],
+  ];
+
+  const roundConstants = poseidon.splitConstants(st2.map(BigInt), t);
+
+  const poseidon_x5_255_5 = poseidon.poseidon({
+    Fp,
+    t,
+    roundsFull: 8,
+    roundsPartial: 60,
+    mds,
+    roundConstants,
+  });
+
+  deepStrictEqual(
+    poseidon_x5_255_5([
+      0x0000000000000000000000000000000000000000000000000000000000000000n,
+      0x0000000000000000000000000000000000000000000000000000000000000001n,
+      0x0000000000000000000000000000000000000000000000000000000000000002n,
+      0x0000000000000000000000000000000000000000000000000000000000000003n,
+      0x0000000000000000000000000000000000000000000000000000000000000004n,
+    ]),
+    [
+      0x2a918b9c9f9bd7bb509331c81e297b5707f6fc7393dcee1b13901a0b22202e18n,
+      0x65ebf8671739eeb11fb217f2d5c5bf4a0c3f210e3f3cd3b08b5db75675d797f7n,
+      0x2cc176fc26bc70737a696a9dfd1b636ce360ee76926d182390cdb7459cf585cen,
+      0x4dc4e29d283afd2a491fe6aef122b9a968e74eff05341f3cc23fda1781dcb566n,
+      0x03ff622da276830b9451b88b85e6184fd6ae15c8ab3ee25a5667be8592cce3b1n,
+    ]
+  );
+});
+
+should('poseidonperm_x5_254_3', () => {
+  const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
+  const t = 3;
+
+  const mds = [
+    [
+      0x109b7f411ba0e4c9b2b70caf5c36a7b194be7c11ad24378bfedb68592ba8118bn,
+      0x16ed41e13bb9c0c66ae119424fddbcbc9314dc9fdbdeea55d6c64543dc4903e0n,
+      0x2b90bba00fca0589f617e7dcbfe82e0df706ab640ceb247b791a93b74e36736dn,
+    ],
+    [
+      0x2969f27eed31a480b9c36c764379dbca2cc8fdd1415c3dded62940bcde0bd771n,
+      0x2e2419f9ec02ec394c9871c832963dc1b89d743c8c7b964029b2311687b1fe23n,
+      0x101071f0032379b697315876690f053d148d4e109f5fb065c8aacc55a0f89bfan,
+    ],
+    [
+      0x143021ec686a3f330d5f9e654638065ce6cd79e28c5b3753326244ee65a1b1a7n,
+      0x176cc029695ad02582a70eff08a6fd99d057e12e58e7d7b6b16cdfabc8ee2911n,
+      0x19a3fc0a56702bf417ba7fee3802593fa644470307043f7773279cd71d25d5e0n,
+    ],
+  ];
+
+  const roundConstants = poseidon.splitConstants(st3.map(BigInt), t);
+
+  const poseidon_x5_254_3 = poseidon.poseidon({
+    Fp,
+    t,
+    roundsFull: 8,
+    roundsPartial: 57,
+    mds,
+    roundConstants,
+  });
+
+  deepStrictEqual(
+    poseidon_x5_254_3([
+      0x0000000000000000000000000000000000000000000000000000000000000000n,
+      0x0000000000000000000000000000000000000000000000000000000000000001n,
+      0x0000000000000000000000000000000000000000000000000000000000000002n,
+    ]),
+    [
+      0x115cc0f5e7d690413df64c6b9662e9cf2a3617f2743245519e19607a4417189an,
+      0x0fca49b798923ab0239de1c9e7a4a9a2210312b6a2f616d18b5a87f9b628ae29n,
+      0x0e7ae82e40091e63cbd4f16a6d16310b3729d4b6e138fcf54110e2867045a30cn,
+    ]
+  );
+});
+
+should('poseidonperm_x5_254_5', () => {
+  const Fp = mod.Fp(0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001n);
+  const t = 5;
+
+  const mds = [
+    [
+      0x251e7fdf99591080080b0af133b9e4369f22e57ace3cd7f64fc6fdbcf38d7da1n,
+      0x25fb50b65acf4fb047cbd3b1c17d97c7fe26ea9ca238d6e348550486e91c7765n,
+      0x293d617d7da72102355f39ebf62f91b06deb5325f367a4556ea1e31ed5767833n,
+      0x104d0295ab00c85e960111ac25da474366599e575a9b7edf6145f14ba6d3c1c4n,
+      0x0aaa35e2c84baf117dea3e336cd96a39792b3813954fe9bf3ed5b90f2f69c977n,
+    ],
+    [
+      0x2a70b9f1d4bbccdbc03e17c1d1dcdb02052903dc6609ea6969f661b2eb74c839n,
+      0x281154651c921e746315a9934f1b8a1bba9f92ad8ef4b979115b8e2e991ccd7an,
+      0x28c2be2f8264f95f0b53c732134efa338ccd8fdb9ee2b45fb86a894f7db36c37n,
+      0x21888041e6febd546d427c890b1883bb9b626d8cb4dc18dcc4ec8fa75e530a13n,
+      0x14ddb5fada0171db80195b9592d8cf2be810930e3ea4574a350d65e2cbff4941n,
+    ],
+    [
+      0x2f69a7198e1fbcc7dea43265306a37ed55b91bff652ad69aa4fa8478970d401dn,
+      0x001c1edd62645b73ad931ab80e37bbb267ba312b34140e716d6a3747594d3052n,
+      0x15b98ce93e47bc64ce2f2c96c69663c439c40c603049466fa7f9a4b228bfc32bn,
+      0x12c7e2adfa524e5958f65be2fbac809fcba8458b28e44d9265051de33163cf9cn,
+      0x2efc2b90d688134849018222e7b8922eaf67ce79816ef468531ec2de53bbd167n,
+    ],
+    [
+      0x0c3f050a6bf5af151981e55e3e1a29a13c3ffa4550bd2514f1afd6c5f721f830n,
+      0x0dec54e6dbf75205fa75ba7992bd34f08b2efe2ecd424a73eda7784320a1a36en,
+      0x1c482a25a729f5df20225815034b196098364a11f4d988fb7cc75cf32d8136fan,
+      0x2625ce48a7b39a4252732624e4ab94360812ac2fc9a14a5fb8b607ae9fd8514an,
+      0x07f017a7ebd56dd086f7cd4fd710c509ed7ef8e300b9a8bb9fb9f28af710251fn,
+    ],
+    [
+      0x2a20e3a4a0e57d92f97c9d6186c6c3ea7c5e55c20146259be2f78c2ccc2e3595n,
+      0x1049f8210566b51faafb1e9a5d63c0ee701673aed820d9c4403b01feb727a549n,
+      0x02ecac687ef5b4b568002bd9d1b96b4bef357a69e3e86b5561b9299b82d69c8en,
+      0x2d3a1aea2e6d44466808f88c9ba903d3bdcb6b58ba40441ed4ebcf11bbe1e37bn,
+      0x14074bb14c982c81c9ad171e4f35fe49b39c4a7a72dbb6d9c98d803bfed65e64n,
+    ],
+  ];
+
+  const roundConstants = poseidon.splitConstants(st4.map(BigInt), t);
+
+  const poseidon_x5_254_5 = poseidon.poseidon({
+    Fp,
+    t,
+    roundsFull: 8,
+    roundsPartial: 60,
+    mds,
+    roundConstants,
+  });
+
+  deepStrictEqual(
+    poseidon_x5_254_5([
+      0x0000000000000000000000000000000000000000000000000000000000000000n,
+      0x0000000000000000000000000000000000000000000000000000000000000001n,
+      0x0000000000000000000000000000000000000000000000000000000000000002n,
+      0x0000000000000000000000000000000000000000000000000000000000000003n,
+      0x0000000000000000000000000000000000000000000000000000000000000004n,
+    ]),
+    [
+      0x299c867db6c1fdd79dcefa40e4510b9837e60ebb1ce0663dbaa525df65250465n,
+      0x1148aaef609aa338b27dafd89bb98862d8bb2b429aceac47d86206154ffe053dn,
+      0x24febb87fed7462e23f6665ff9a0111f4044c38ee1672c1ac6b0637d34f24907n,
+      0x0eb08f6d809668a981c186beaf6110060707059576406b248e5d9cf6e78b3d3en,
+      0x07748bc6877c9b82c8b98666ee9d0626ec7f5be4205f79ee8528ef1c4a376fc7n,
+    ]
+  );
+});
+// Startadperm is unsupported, since it is non prime field
+
+// ESM is broken.
+import url from 'url';
+if (import.meta.url === url.pathToFileURL(process.argv[1]).href) {
+  should.run();
+}
diff --git a/test/vectors/poseidon.json b/test/vectors/poseidon.json
new file mode 100644
index 0000000..befadf0
--- /dev/null
+++ b/test/vectors/poseidon.json
@@ -0,0 +1,1080 @@
+{
+  "st1": [
+    "0x6c4ffa723eaf1a7bf74905cc7dae4ca9ff4a2c3bc81d42e09540d1f250910880",
+    "0x54dd837eccf180c92c2f53a3476e45a156ab69a403b6b9fdfd8dd970fddcdd9a",
+    "0x64f56d735286c35f0e7d0a29680d49d54fb924adccf8962eeee225bf9423a85e",
+    "0x670d5b6efe620f987d967fb13d2045ee3ac8e9cbf7d30e8594e733c7497910dc",
+    "0x2ef5299e2077b2392ca874b015120d7e7530f277e06f78ee0b28f33550c68937",
+    "0x0c0981889405b59c384e7dfa49cd4236e2f45ed024488f67c73f51c7c22d8095",
+    "0x0d88548e6296171b26c61ea458288e5a0d048e2fdf5659de62cfca43f1649c82",
+    "0x3371c00f3715d44abce4140202abaaa44995f6f1df12384222f61123faa6b638",
+    "0x4ce428fec6d178d10348f4857f0006a652911085c8d86baa706f6d7975b0fe1b",
+    "0x1a3c26d755bf65326b03521c94582d91a3ae2c0d8dfb2a345847aece52070ab0",
+    "0x02dbb4709583838c35a118742bf482d257ed4dfb212014c083a6b059adda82b5",
+    "0x41f2dd64b9a0dcea721b0035259f45f2a9066690de8f13b9a48ead411d8ff5a7",
+    "0x5f154892782617b26993eea6431580c0a82c0a4dd0efdb24688726b4108c46a8",
+    "0x0db98520f9b97cbcdb557872f4b7f81567a1be374f60fc4281a6e04079e00c0c",
+    "0x71564ed66b41e872ca76aaf9b2fa0ca0695f2162705ca6a1f7ef043fd957f12d",
+    "0x69191b1fe6acbf888d0c723f754c89e8bd29cb34b1e43ab27be105ea6b38d8b8",
+    "0x04e9919eb06ff327152cfed30028c5edc667809ce1512e5963329c7040d29350",
+    "0x573bc78e3ed162e5edd38595feead65481c991b856178f6182a0c7090ff71288",
+    "0x102800af87fd92eb1dec942469e076602695a1996a4db968bb7f38ddd455db0b",
+    "0x593d1894c17e5b626f8779acc32d8f188d619c02902ef775ebe81ef1c0fb7a8f",
+    "0x66850b1b1d5d4e07b03bac49c9feadd051e374908196a806bd296957fa2fe2b7",
+    "0x46aaa1206232ceb480d6aa16cc03465d8e96a807b28c1e494a81c43e0faffc57",
+    "0x2102aab97ce5bd94ffd5db908bf28b7f8c36671191d4ee9ac1c5f2fae4780579",
+    "0x14387b24d1c0c712bbe720164c4093185fcb546a2a7d481abc94e5b8fb5178b7",
+    "0x5f2179b3a7845836cfced83e64e206f6a6cef2cf737f020b5cfd713c9550fe9f",
+    "0x1787986ab56e1b56b5443334562b0bc3657d27323b87e3a8485e68ab96d57188",
+    "0x39ef4b00deefe7e7451adda44428aa22074c496de2c9ed67dcf4861da65f543a",
+    "0x7271d384cf5c90fd0c48af190c5c765937c7468088b081a99337e6eae53bb20c",
+    "0x6669e58d04248ca86024fbc196e5f306e522423aa71f84225435328b37a1dd3d",
+    "0x0c1f1b492b27539d754cba5e46edc1f1ac1c5696da8eb19416b07420bb321c65",
+    "0x1c4d41a133b97dc467f1f184cf191f331dfc38e79e7e53516c39848c9bd44692",
+    "0x369ea8e699181b1cf88be9205ab840180c9288e67a359dc0dda4ac74cf9768e2",
+    "0x4cfa7d72afed332bf0b8a2a719123f7ebfa714b9e3100eaa533dbde6fb985043",
+    "0x4e592fcde9f3c360e54c6f34d7a8bd41889942e9fe23d9fd4a9e5b3bfbbb3e45",
+    "0x032b5885586212fb235570996d3a4c40f54ff91598a948ec2722ed865b8438a5",
+    "0x03f3178956cfd3e2e6614fb134597d3b3cff0d8a33f3523d825982990c068940",
+    "0x3126e84dfd67a22bf0ce0d9273d8ad40e6109af5bb2bd78d0ac08a16c6248f74",
+    "0x3527888062f1e2738d7b928e9af244f0a39011390c2dbbcf56d8e087f4087b6f",
+    "0x64635758efc701dbbe2eb423bf7b5bf6c3d34c6ff92494f3421182a8b187ecf7",
+    "0x4d7f71960f03db8a2a428cbf77ddc1916a5f4243dbeb2ddaef7b5b5f9d74546e",
+    "0x37832ba2da93de3643243eba3b9765d75359310617f3fc06d74ac12db57b29c5",
+    "0x4dce55879ffd9398f96c9e6556a3bb4fc93147965252cb1d6c94b3282ba3fae6",
+    "0x4ba85e4d2537972c0fd5a4727a58c3d85d98563697a34c0af845bfecd6dc4b40",
+    "0x582dc453b4cbf6b1d19734b0f337d3423b503703979689f384d0eb96ff5b02ce",
+    "0x0e6f127f479ee6113540d69b25420a2682f07b23e799566b091a1c891fa224ba",
+    "0x39c815508d2995bb8ae5035472944706e900b2fb16d5a779fdfff82306f37dbb",
+    "0x6591aba215bcf96d8aa03220372179a4c5060cfd7f95724ab300d9459f709051",
+    "0x221807cb4909d549c546a734ad2cd7f60a69e816ace98fad830452a44a343188",
+    "0x2766a1e33038004da58bce78722380b22b13b0aecb87f38659f3035e1336b53f",
+    "0x11b5e993e6a9cdc3b5d2f5336dc9bad5074b661537ff890b1babd7f53cada9e3",
+    "0x29576176f9a5a10e3d0a2c59af26b51f4c5fc86ec59c0f2492deb60ad49eddcd",
+    "0x51e72c44f9de491c747d8a6d333fb2b3e16ee7571f1340a9a5f6f72363991e98",
+    "0x2fb360d959be4aa871e071764a5e41eb264d04f0289f098723b69bab09f4d1a6",
+    "0x03f46b4c3c77957cb595ed61fe13f9e8739a5009311142b69c1e8c07ae250f47",
+    "0x4683311e382a99927e0ff672cd0543aaebfc0c33ba96ad937818cec979b57b5e",
+    "0x7117cc69bf566b1b0ba5486b0f1f9bd60f2f945e3cbf33a2ed17076f4caa0dd6",
+    "0x3bd670c3ce88ea43f254d61c2a9b56d6a4dff19ab5c4d28989d271f3dd6bee25",
+    "0x2fd2ed0ba1135575995d15061ddb487f2c5c6005feed28d8a01b9d7bee361a1b",
+    "0x6a66704e22a81e6b7ad8e2f28edd8c9c9a10abf17e053f4d89665810332600ec",
+    "0x5cbc378be1db3840b32d8d2ebfe2695f810f932a206aacece707ca693f4f933e",
+    "0x35b716410b3c9374d42e7d39eaca316b6568f0a14cb14d519967aa3ff9970aac",
+    "0x231c6db056e47a01c192db40e586ededc929b564667377a10bd1465f3852811f",
+    "0x4904d5de1f512eb14b0f856acb016c7a43079b2f702303752962f336558b0f32",
+    "0x56d6bc63f429bb7fec7bdd133581f2abc74406a57607c2ba3302481eddba4074",
+    "0x519d0daccadfbb0167fa79d1afdf36b25f28b9f74f1e65d21d28ce1022579735",
+    "0x0576cf2418d6bd88f352bb26da1066637575f85688cdb981c7787f8094e5a71a",
+    "0x16672be70221dfa20aa110bdce12e1e66ab171db4eadd9935baa0e3aa49e437a",
+    "0x1e51c73bc2aeb9e877d9c2c18f17b03ea3dfcc04adfc649780ce4bcbc43b0b69",
+    "0x1271c830507a211c8e2ebdfb372f79c8a42a9e84e4fdb0dcb35d55e4d155e169",
+    "0x67077397c2b01db4de4b78adf97e0ebceb20cb91647db49a7bc06a5ce1b25544",
+    "0x2e5454b258106b63f0ab01924767b4aecce371202abc28a260adc45f35570b9d",
+    "0x440f72769f137a8078f05063cfa4e2b73b2381b72b68e97b1c1e9cd18df36f82",
+    "0x6ae1478fc162c50032fef2ef79c93ca7ee25b16358704f434f6cddcce2fc9c40",
+    "0x0c0f3630409a2242a39ebb33c5c7cf18965b8932621aab4ca2c315d4441b6987",
+    "0x0d1bd84a786a990adf88b51f253bd9032cb50ce4682bafe103893af36d5e75dc",
+    "0x30ce425059810dd94aae2f255666b0fe8bc52ff701c385c43a998926539dd401",
+    "0x395a1e753153b56d1a9ec2ca73099425e446dfa668dc73da2ea311abe5e3d96d",
+    "0x57f09d89e827d00392fdc0c3d21b1a5bae2d689894ced82f58e256a03d20ef91",
+    "0x1065b71b135e4feb8b3cba3c252daa084cb5624b0ba76f48f6a03854bfdbcacc",
+    "0x3d5f53bd162f053f045547952a06bc83bc413e17957977e359d9bd4c8883203d",
+    "0x05f467a5081bd3479d6b49f697b0a75d264b42b95b2bed475cd58ffd05322d85",
+    "0x6f5ad8e3ed272494c36a5a52a7d034e04b633460c16a512d0d8002f8fa0e3484",
+    "0x23c293275e282bf15cdbffae1f00a2712e76aa6d62820542159e9d6f115df3b8",
+    "0x3757e7009ca9bec8bba29308b9922354eeeff3beb4113174bf8cde584722d31b",
+    "0x406f25e72d0264ed50473ec95a7ec53ebe114898f84deb06e53715ae24725342",
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