/*
  Copyright 2019-2024 StarkWare Industries Ltd.

  Licensed under the Apache License, Version 2.0 (the "License").
  You may not use this file except in compliance with the License.
  You may obtain a copy of the License at

  https://www.starkware.co/open-source-license/

  Unless required by applicable law or agreed to in writing,
  software distributed under the License is distributed on an "AS IS" BASIS,
  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  See the License for the specific language governing permissions
  and limitations under the License.
*/
// SPDX-License-Identifier: Apache-2.0.
pragma solidity ^0.6.12;

contract PoseidonPoseidonFullRoundKey0Column {
    function compute(uint256 x) external pure returns(uint256 result) {
        uint256 PRIME = 0x800000000000011000000000000000000000000000000000000000000000001;

        assembly {
            // Use Horner's method to compute f(x).
            // The idea is that
            //   a_0 + a_1 * x + a_2 * x^2 + ... + a_n * x^n =
            //   (...(((a_n * x) + a_{n-1}) * x + a_{n-2}) * x + ...) + a_0.
            // Consequently we need to do deg(f) horner iterations that consist of:
            //   1. Multiply the last result by x
            //   2. Add the next coefficient (starting from the highest coefficient)
            //
            //  We slightly diverge from the algorithm above by updating the result only once
            //  every 7 horner iterations.
            //  We do this because variable assignment in solidity's functional-style assembly results in
            //  a swap followed by a pop.
            //  7 is the highest batch we can do due to the 16 slots limit in evm.
            result :=
                add(0x2574ea7cc37bd716e0ec143a2420103589ba7b2af9d6b07569af3b108450a90, mulmod(
                add(0x712a2cab5d2a48c76a95de8f29a898d655cc216172a400ca054d6eb9950d698, mulmod(
                add(0x7865d89fa1e9dce49da0ac14d7437366bd450fb823a4fd3d2d8b1726f924c8f, mulmod(
                add(0x1b8c9c9cfe3c81279569f1130da6064cbf12c4b828d7e0cf60735514cf96c22, mulmod(
                add(0x11eaccb2939fb9e21a2a44d6f1e0608aac4248f817bc9458cce8a56077a22b1, mulmod(
                add(0x5f3e9a55edfd3f6abac770ff5606fca5aaf7074bedae94ade74395453235e8e, mulmod(
                add(0x7ed6ec4a18e23340489e4e36db8f4fcebf6b6ebd56185c29397344c5deea4c8, mulmod(
                    result,
                x, PRIME)),
                x, PRIME)),
                x, PRIME)),
                x, PRIME)),
                x, PRIME)),
                x, PRIME)),
                x, PRIME))

            result :=
                add(0x47da67f078d657e777a79423be81a5d41f445f9455b207ec9768858cfd134f1, mulmod(
                    result,
                x, PRIME))


        }
        return result % PRIME;
    }
}

{
  "metadata": {
    "useLiteralContent": true
  },
  "libraries": {},
  "remappings": [],
  "optimizer": {
    "enabled": true,
    "runs": 1000000
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  }
}

[{"inputs":[{"internalType":"uint256","name":"x","type":"uint256"}],"name":"compute","outputs":[{"internalType":"uint256","name":"result","type":"uint256"}],"stateMutability":"pure","type":"function"}]

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