CUSTOM_FIELD_T.md

How to use with other prime fields/t values

1. First lookup the constants for your desired prime field and t value (state size) here https://github.com/HorizenLabs/poseidon2/tree/main/plain_implementations/src/poseidon2.
2. If the constants for your prime field/t have not already been precomputed, compute them using (this sage script)[https://github.com/HorizenLabs/poseidon2/blob/main/poseidon2_rust_params.sage]
3. Use the proper constants to generate Poseidon2Params and create a new Poseidon2 class instance using your desired prime

import { Poseidon2, F1Field, Poseidon2Params } from "poseidon2";

// call this function with your parameters from sage/horizen labs' precomputed constants
function getPoseidon2Params(
  t: number,
  d: number,
  rounds_f: number,
  rounds_p: number,
  mat_internal_diag_m_1: bigint[],
  mat_internal: bigint[][],
  round_constants: bigint[][]
): Poseidon2Params {
  const r = rounds_f / 2;
  const rounds = rounds_f + rounds_p;
  return {
    t,
    d,
    rounds_f_beginning: r,
    rounds_p,
    rounds_f_end: r,
    rounds,
    mat_internal_diag_m_1: mat_internal_diag_m_1,
    _mat_internal: mat_internal,
    round_constants: round_constants,
  };
}

//ex: For Vesta prime, t=3 https://github.com/HorizenLabs/poseidon2/blob/main/plain_implementations/src/poseidon2/poseidon2_instance_vesta.rs

const field = new F1Field(
  BigInt(
    "28948022309329048855892746252171976963363056481941647379679742748393362948097"
  )
);
const MAT_DIAG3_M_1 = [
  BigInt("0x0000000000000000000000000000000000000000000000000000000000000001"),
  BigInt("0x0000000000000000000000000000000000000000000000000000000000000001"),
  BigInt("0x0000000000000000000000000000000000000000000000000000000000000002"),
];
const MAT_INTERNAL3 = [
  [
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000002"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
  ],
  [
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000002"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
  ],
  [
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000001"
    ),
    BigInt(
      "0x0000000000000000000000000000000000000000000000000000000000000003"
    ),
  ],
];
const RC3 = [
  [
    BigInt(
      "0x21512346b8ece60d5951c1505089c2b4220707ca56373bb9d828fa33bbfd2a31"
    ),
    BigInt(
      "0x2b3a40252c69e83e92c548e199bbbeba4291e0d7fc3b4810193606753da588c8"
    ),
    BigInt(
      "0x2a1a778e3f303c4187c082ea4475734596fb10bd2954843e12be80e8c1c0d464"
    ),
  ],
  [
    BigInt(
      "0x224d2355fc17ee0b5e46455d2ef3a85cfaa88b08689b0d0e4c111094fd780093"
    ),
    BigInt(
      "0x2241de16388cdd7ffda42e0838b5d59bc2182f14bbef622fa633d8b87250a740"
    ),
    BigInt(
      "0x325f11e96905193f6836e6fa2c727dd0261ea083fedde9873f1e7b9d90419833"
    ),
  ],
  [
    BigInt(
      "0x1cc541b9ed19280c216f6b90876cbe83d07ba14fcc6f2af068e1dda739f5acb9"
    ),
    BigInt(
      "0x0f6f3f6703c0dcd136b24ddb8766fbcd69bbc9cb3bb20a1da2f7130c4ba62664"
    ),
    BigInt(
      "0x352376600a75802c6e6c6da69001e0376328848bc7ada465176d571ba029a20b"
    ),
  ],
  [
    BigInt(
      "0x2b1708d59adc4ba04a6bcb2dd264c1b014e0b7bae9bb3af916eb276ee3a34565"
    ),
    BigInt(
      "0x161c8a77adcd1a5f8dad71c3b044ce64bab9de792195da91a0b0acca4f8b4568"
    ),
    BigInt(
      "0x1d53e37d6ddf6dd88beb25c0870b2d0af2a51efb6ada05c4ac7e5099a71499e0"
    ),
  ],
  [
    BigInt(
      "0x0b6d7adb7b72cfaee0184354accbff821a14efb48b46405b397c037a5e15f095"
    ),
    BigInt(
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];

const instance = new Poseidon2(
  getPoseidon2Params(3, 5, 8, 56, MAT_DIAG3_M_1, MAT_INTERNAL3, RC3),
  field
);

const state = [BigInt(0), BigInt(1), BigInt(2)];
const permuteResult = instance.permute(state);
console.log(permuteResult);