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Contract Source Code Verified (Exact Match)
Contract Name:
SafeDecimalMath
Compiler Version
v0.4.25+commit.59dbf8f1
Optimization Enabled:
Yes with 200 runs
Other Settings:
default evmVersion
Contract Source Code (Solidity)
/** *Submitted for verification at Etherscan.io on 2018-12-06 */ /* =============================================== * Flattened with Solidifier by Coinage * * https://solidifier.coina.ge * =============================================== */ pragma solidity ^0.4.24; /** * @title SafeMath * @dev Math operations with safety checks that revert on error */ library SafeMath { /** * @dev Multiplies two numbers, reverts on overflow. */ function mul(uint256 a, uint256 b) internal pure returns (uint256) { // Gas optimization: this is cheaper than requiring 'a' not being zero, but the // benefit is lost if 'b' is also tested. // See: https://github.com/OpenZeppelin/openzeppelin-solidity/pull/522 if (a == 0) { return 0; } uint256 c = a * b; require(c / a == b); return c; } /** * @dev Integer division of two numbers truncating the quotient, reverts on division by zero. */ function div(uint256 a, uint256 b) internal pure returns (uint256) { require(b > 0); // Solidity only automatically asserts when dividing by 0 uint256 c = a / b; // assert(a == b * c + a % b); // There is no case in which this doesn't hold return c; } /** * @dev Subtracts two numbers, reverts on overflow (i.e. if subtrahend is greater than minuend). */ function sub(uint256 a, uint256 b) internal pure returns (uint256) { require(b <= a); uint256 c = a - b; return c; } /** * @dev Adds two numbers, reverts on overflow. */ function add(uint256 a, uint256 b) internal pure returns (uint256) { uint256 c = a + b; require(c >= a); return c; } /** * @dev Divides two numbers and returns the remainder (unsigned integer modulo), * reverts when dividing by zero. */ function mod(uint256 a, uint256 b) internal pure returns (uint256) { require(b != 0); return a % b; } } /* ----------------------------------------------------------------- FILE INFORMATION ----------------------------------------------------------------- file: SafeDecimalMath.sol version: 2.0 author: Kevin Brown Gavin Conway date: 2018-10-18 ----------------------------------------------------------------- MODULE DESCRIPTION ----------------------------------------------------------------- A library providing safe mathematical operations for division and multiplication with the capability to round or truncate the results to the nearest increment. Operations can return a standard precision or high precision decimal. High precision decimals are useful for example when attempting to calculate percentages or fractions accurately. ----------------------------------------------------------------- */ /** * @title Safely manipulate unsigned fixed-point decimals at a given precision level. * @dev Functions accepting uints in this contract and derived contracts * are taken to be such fixed point decimals of a specified precision (either standard * or high). */ library SafeDecimalMath { using SafeMath for uint; /* Number of decimal places in the representations. */ uint8 public constant decimals = 18; uint8 public constant highPrecisionDecimals = 27; /* The number representing 1.0. */ uint public constant UNIT = 10 ** uint(decimals); /* The number representing 1.0 for higher fidelity numbers. */ uint public constant PRECISE_UNIT = 10 ** uint(highPrecisionDecimals); uint private constant UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR = 10 ** uint(highPrecisionDecimals - decimals); /** * @return Provides an interface to UNIT. */ function unit() external pure returns (uint) { return UNIT; } /** * @return Provides an interface to PRECISE_UNIT. */ function preciseUnit() external pure returns (uint) { return PRECISE_UNIT; } /** * @return The result of multiplying x and y, interpreting the operands as fixed-point * decimals. * * @dev A unit factor is divided out after the product of x and y is evaluated, * so that product must be less than 2**256. As this is an integer division, * the internal division always rounds down. This helps save on gas. Rounding * is more expensive on gas. */ function multiplyDecimal(uint x, uint y) internal pure returns (uint) { /* Divide by UNIT to remove the extra factor introduced by the product. */ return x.mul(y) / UNIT; } /** * @return The result of safely multiplying x and y, interpreting the operands * as fixed-point decimals of the specified precision unit. * * @dev The operands should be in the form of a the specified unit factor which will be * divided out after the product of x and y is evaluated, so that product must be * less than 2**256. * * Unlike multiplyDecimal, this function rounds the result to the nearest increment. * Rounding is useful when you need to retain fidelity for small decimal numbers * (eg. small fractions or percentages). */ function _multiplyDecimalRound(uint x, uint y, uint precisionUnit) private pure returns (uint) { /* Divide by UNIT to remove the extra factor introduced by the product. */ uint quotientTimesTen = x.mul(y) / (precisionUnit / 10); if (quotientTimesTen % 10 >= 5) { quotientTimesTen += 10; } return quotientTimesTen / 10; } /** * @return The result of safely multiplying x and y, interpreting the operands * as fixed-point decimals of a precise unit. * * @dev The operands should be in the precise unit factor which will be * divided out after the product of x and y is evaluated, so that product must be * less than 2**256. * * Unlike multiplyDecimal, this function rounds the result to the nearest increment. * Rounding is useful when you need to retain fidelity for small decimal numbers * (eg. small fractions or percentages). */ function multiplyDecimalRoundPrecise(uint x, uint y) internal pure returns (uint) { return _multiplyDecimalRound(x, y, PRECISE_UNIT); } /** * @return The result of safely multiplying x and y, interpreting the operands * as fixed-point decimals of a standard unit. * * @dev The operands should be in the standard unit factor which will be * divided out after the product of x and y is evaluated, so that product must be * less than 2**256. * * Unlike multiplyDecimal, this function rounds the result to the nearest increment. * Rounding is useful when you need to retain fidelity for small decimal numbers * (eg. small fractions or percentages). */ function multiplyDecimalRound(uint x, uint y) internal pure returns (uint) { return _multiplyDecimalRound(x, y, UNIT); } /** * @return The result of safely dividing x and y. The return value is a high * precision decimal. * * @dev y is divided after the product of x and the standard precision unit * is evaluated, so the product of x and UNIT must be less than 2**256. As * this is an integer division, the result is always rounded down. * This helps save on gas. Rounding is more expensive on gas. */ function divideDecimal(uint x, uint y) internal pure returns (uint) { /* Reintroduce the UNIT factor that will be divided out by y. */ return x.mul(UNIT).div(y); } /** * @return The result of safely dividing x and y. The return value is as a rounded * decimal in the precision unit specified in the parameter. * * @dev y is divided after the product of x and the specified precision unit * is evaluated, so the product of x and the specified precision unit must * be less than 2**256. The result is rounded to the nearest increment. */ function _divideDecimalRound(uint x, uint y, uint precisionUnit) private pure returns (uint) { uint resultTimesTen = x.mul(precisionUnit * 10).div(y); if (resultTimesTen % 10 >= 5) { resultTimesTen += 10; } return resultTimesTen / 10; } /** * @return The result of safely dividing x and y. The return value is as a rounded * standard precision decimal. * * @dev y is divided after the product of x and the standard precision unit * is evaluated, so the product of x and the standard precision unit must * be less than 2**256. The result is rounded to the nearest increment. */ function divideDecimalRound(uint x, uint y) internal pure returns (uint) { return _divideDecimalRound(x, y, UNIT); } /** * @return The result of safely dividing x and y. The return value is as a rounded * high precision decimal. * * @dev y is divided after the product of x and the high precision unit * is evaluated, so the product of x and the high precision unit must * be less than 2**256. The result is rounded to the nearest increment. */ function divideDecimalRoundPrecise(uint x, uint y) internal pure returns (uint) { return _divideDecimalRound(x, y, PRECISE_UNIT); } /** * @dev Convert a standard decimal representation to a high precision one. */ function decimalToPreciseDecimal(uint i) internal pure returns (uint) { return i.mul(UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR); } /** * @dev Convert a high precision decimal to a standard decimal representation. */ function preciseDecimalToDecimal(uint i) internal pure returns (uint) { uint quotientTimesTen = i / (UNIT_TO_HIGH_PRECISION_CONVERSION_FACTOR / 10); if (quotientTimesTen % 10 >= 5) { quotientTimesTen += 10; } return quotientTimesTen / 10; } }
Contract Security Audit
- No Contract Security Audit Submitted- Submit Audit Here
[{"constant":true,"inputs":[],"name":"decimals","outputs":[{"name":"","type":"uint8"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"PRECISE_UNIT","outputs":[{"name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"unit","outputs":[{"name":"","type":"uint256"}],"payable":false,"stateMutability":"pure","type":"function"},{"constant":true,"inputs":[],"name":"UNIT","outputs":[{"name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"preciseUnit","outputs":[{"name":"","type":"uint256"}],"payable":false,"stateMutability":"pure","type":"function"},{"constant":true,"inputs":[],"name":"highPrecisionDecimals","outputs":[{"name":"","type":"uint8"}],"payable":false,"stateMutability":"view","type":"function"}]
Contract Creation Code
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
Deployed Bytecode
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
Swarm Source
bzzr://c23be04dd8c4db79f23aa987a379bddc57e981f9c7f5632c2497e784de06afbb
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OVERVIEW
A library providing safe mathematical operations for division and multiplication with the capability to round or truncate the results to the nearest increment.Operations can return a standard precision or high precision decimal.
High precision decimals are useful for example when attempting to calculate percentages or fractions accurately.
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