// SPDX-License-Identifier: BUSL-1.1
pragma solidity 0.8.15;

/**
 * @title Compound's Comet Math Contract
 * @dev Pure math functions
 * @author Compound
 */
contract CometMath {
    /** Custom errors **/

    error InvalidUInt64();
    error InvalidUInt104();
    error InvalidUInt128();
    error InvalidInt104();
    error InvalidInt256();
    error NegativeNumber();

    function safe64(uint n) internal pure returns (uint64) {
        if (n > type(uint64).max) revert InvalidUInt64();
        return uint64(n);
    }

    function safe104(uint n) internal pure returns (uint104) {
        if (n > type(uint104).max) revert InvalidUInt104();
        return uint104(n);
    }

    function safe128(uint n) internal pure returns (uint128) {
        if (n > type(uint128).max) revert InvalidUInt128();
        return uint128(n);
    }

    function signed104(uint104 n) internal pure returns (int104) {
        if (n > uint104(type(int104).max)) revert InvalidInt104();
        return int104(n);
    }

    function signed256(uint256 n) internal pure returns (int256) {
        if (n > uint256(type(int256).max)) revert InvalidInt256();
        return int256(n);
    }

    function unsigned104(int104 n) internal pure returns (uint104) {
        if (n < 0) revert NegativeNumber();
        return uint104(n);
    }

    function unsigned256(int256 n) internal pure returns (uint256) {
        if (n < 0) revert NegativeNumber();
        return uint256(n);
    }

    function toUInt8(bool x) internal pure returns (uint8) {
        return x ? 1 : 0;
    }

    function toBool(uint8 x) internal pure returns (bool) {
        return x != 0;
    }
}