/**
Copyright 2020 PoolTogether Inc.

This file is part of PoolTogether.

PoolTogether is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation under version 3 of the License.

PoolTogether is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with PoolTogether.  If not, see <https://www.gnu.org/licenses/>.
*/

pragma solidity >=0.6.0 <0.7.0;

import "@openzeppelin/contracts-ethereum-package/contracts/math/SafeMath.sol";

/**
 * @author Brendan Asselstine
 * @notice Provides basic fixed point math calculations.
 *
 * This library calculates integer fractions by scaling values by 1e18 then performing standard integer math.
 */
library FixedPoint {
    using SafeMath for uint256;

    // The scale to use for fixed point numbers.  Same as Ether for simplicity.
    uint256 internal constant SCALE = 1e18;

    /**
        * Calculates a Fixed18 mantissa given the numerator and denominator
        *
        * The mantissa = (numerator * 1e18) / denominator
        *
        * @param numerator The mantissa numerator
        * @param denominator The mantissa denominator
        * @return The mantissa of the fraction
        */
    function calculateMantissa(uint256 numerator, uint256 denominator) internal pure returns (uint256) {
        uint256 mantissa = numerator.mul(SCALE);
        mantissa = mantissa.div(denominator);
        return mantissa;
    }

    /**
        * Multiplies a Fixed18 number by an integer.
        *
        * @param b The whole integer to multiply
        * @param mantissa The Fixed18 number
        * @return An integer that is the result of multiplying the params.
        */
    function multiplyUintByMantissa(uint256 b, uint256 mantissa) internal pure returns (uint256) {
        uint256 result = mantissa.mul(b);
        result = result.div(SCALE);
        return result;
    }

    /**
    * Divides an integer by a fixed point 18 mantissa
    *
    * @param dividend The integer to divide
    * @param mantissa The fixed point 18 number to serve as the divisor
    * @return An integer that is the result of dividing an integer by a fixed point 18 mantissa
    */
    function divideUintByMantissa(uint256 dividend, uint256 mantissa) internal pure returns (uint256) {
        uint256 result = SCALE.mul(dividend);
        result = result.div(mantissa);
        return result;
    }
}