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42 lines
1.2 KiB
42 lines
1.2 KiB
// SPDX-License-Identifier: MIT
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pragma solidity ^0.8.0;
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/**
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* @dev Standard math utilities missing in the Solidity language.
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*/
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library Math {
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/**
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* @dev Returns the largest of two numbers.
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*/
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function max(uint256 a, uint256 b) internal pure returns (uint256) {
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return a >= b ? a : b;
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}
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/**
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* @dev Returns the smallest of two numbers.
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*/
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function min(uint256 a, uint256 b) internal pure returns (uint256) {
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return a < b ? a : b;
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}
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/**
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* @dev Returns the average of two numbers. The result is rounded towards
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* zero.
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*/
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function average(uint256 a, uint256 b) internal pure returns (uint256) {
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// (a + b) / 2 can overflow, so we distribute.
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return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);
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}
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/**
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* @dev Returns the ceiling of the division of two numbers.
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*
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* This differs from standard division with `/` in that it rounds up instead
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* of rounding down.
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*/
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function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {
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// (a + b - 1) / b can overflow on addition, so we distribute.
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return a / b + (a % b == 0 ? 0 : 1);
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}
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}
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