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// SPDX-License-Identifier: MIT
pragma solidity 0.8.11;
import { AuraMath } from "../utils/AuraMath.sol";

// Forked of https://etherscan.io/address/0x3c75bfe6fbfda3a94e7e7e8c2216afc684de5343#code
//  - Refactor based on Aura emissions schedule.

// solhint-disable func-name-mixedcase
interface ICvx {
    function reductionPerCliff() external view returns (uint256);

    function totalSupply() external view returns (uint256);

    function totalCliffs() external view returns (uint256);

    function INIT_MINT_AMOUNT() external view returns (uint256);

    function EMISSIONS_MAX_SUPPLY() external view returns (uint256);
}

/**
 * @notice Utility library to calculate how many Cvx will be minted based on the amount of Crv.
 * Do not use this on-chain, as AuraMinter after can mint additional tokens after `inflationProtectionTime`
 * has passed, those new tokens are not taken into consideration in this library.
 */
library AuraMining {
    ICvx public constant cvx = ICvx(0xC0c293ce456fF0ED870ADd98a0828Dd4d2903DBF);
    using AuraMath for uint256;

    /**
     * @dev Calculates the amount of AURA to mint based on the BAL supply schedule.
     * Do not use this on chain.
     */
    function convertCrvToCvx(uint256 _amount) external view returns (uint256 amount) {
        uint256 supply = cvx.totalSupply();
        uint256 totalCliffs = cvx.totalCliffs();
        uint256 maxSupply = cvx.EMISSIONS_MAX_SUPPLY();
        uint256 initMintAmount = cvx.INIT_MINT_AMOUNT();

        // After AuraMinter.inflationProtectionTime has passed, this calculation might not be valid.
        // uint256 emissionsMinted = supply - initMintAmount - minterMinted;
        uint256 emissionsMinted = supply - initMintAmount;

        uint256 cliff = emissionsMinted.div(cvx.reductionPerCliff());

        // e.g. 100 < 500
        if (cliff < totalCliffs) {
            // e.g. (new) reduction = (500 - 100) * 2.5 + 700 = 1700;
            // e.g. (new) reduction = (500 - 250) * 2.5 + 700 = 1325;
            // e.g. (new) reduction = (500 - 400) * 2.5 + 700 = 950;
            uint256 reduction = totalCliffs.sub(cliff).mul(5).div(2).add(700);
            // e.g. (new) amount = 1e19 * 1700 / 500 =  34e18;
            // e.g. (new) amount = 1e19 * 1325 / 500 =  26.5e18;
            // e.g. (new) amount = 1e19 * 950 / 500  =  19e17;
            amount = _amount.mul(reduction).div(totalCliffs);
            // e.g. amtTillMax = 5e25 - 1e25 = 4e25
            uint256 amtTillMax = maxSupply.sub(emissionsMinted);
            if (amount > amtTillMax) {
                amount = amtTillMax;
            }
        }
    }
}

// SPDX-License-Identifier: MIT
pragma solidity 0.8.11;

/// @notice A library for performing overflow-/underflow-safe math,
/// updated with awesomeness from of DappHub (https://github.com/dapphub/ds-math).
library AuraMath {
    /**
     * @dev Returns the smallest of two numbers.
     */
    function min(uint256 a, uint256 b) internal pure returns (uint256) {
        return a < b ? a : b;
    }

    function add(uint256 a, uint256 b) internal pure returns (uint256 c) {
        c = a + b;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256 c) {
        c = a - b;
    }

    function mul(uint256 a, uint256 b) internal pure returns (uint256 c) {
        c = a * b;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return a / b;
    }

    /**
     * @dev Returns the average of two numbers. The result is rounded towards
     * zero.
     */
    function average(uint256 a, uint256 b) internal pure returns (uint256) {
        // (a + b) / 2 can overflow, so we distribute.
        return (a / 2) + (b / 2) + (((a % 2) + (b % 2)) / 2);
    }

    function to224(uint256 a) internal pure returns (uint224 c) {
        require(a <= type(uint224).max, "AuraMath: uint224 Overflow");
        c = uint224(a);
    }

    function to128(uint256 a) internal pure returns (uint128 c) {
        require(a <= type(uint128).max, "AuraMath: uint128 Overflow");
        c = uint128(a);
    }

    function to112(uint256 a) internal pure returns (uint112 c) {
        require(a <= type(uint112).max, "AuraMath: uint112 Overflow");
        c = uint112(a);
    }

    function to96(uint256 a) internal pure returns (uint96 c) {
        require(a <= type(uint96).max, "AuraMath: uint96 Overflow");
        c = uint96(a);
    }

    function to32(uint256 a) internal pure returns (uint32 c) {
        require(a <= type(uint32).max, "AuraMath: uint32 Overflow");
        c = uint32(a);
    }
}

/// @notice A library for performing overflow-/underflow-safe addition and subtraction on uint32.
library AuraMath32 {
    function sub(uint32 a, uint32 b) internal pure returns (uint32 c) {
        c = a - b;
    }
}

/// @notice A library for performing overflow-/underflow-safe addition and subtraction on uint112.
library AuraMath112 {
    function add(uint112 a, uint112 b) internal pure returns (uint112 c) {
        c = a + b;
    }

    function sub(uint112 a, uint112 b) internal pure returns (uint112 c) {
        c = a - b;
    }
}

/// @notice A library for performing overflow-/underflow-safe addition and subtraction on uint224.
library AuraMath224 {
    function add(uint224 a, uint224 b) internal pure returns (uint224 c) {
        c = a + b;
    }
}

{
  "metadata": {
    "bytecodeHash": "none"
  },
  "optimizer": {
    "enabled": true,
    "runs": 800
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

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[{"inputs":[{"internalType":"uint256","name":"_amount","type":"uint256"}],"name":"convertCrvToCvx","outputs":[{"internalType":"uint256","name":"amount","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"cvx","outputs":[{"internalType":"contract ICvx","name":"","type":"ICvx"}],"stateMutability":"view","type":"function"}]

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