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53 lines
1.5 KiB
53 lines
1.5 KiB
// SPDX-License-Identifier: MIT
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// OpenZeppelin Contracts v4.4.0 (utils/math/Math.sol)
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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.
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return (a & b) + (a ^ b) / 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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* @dev Returns the absolute unsigned value of a signed value.
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*/
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function abs(int256 n) internal pure returns (uint256) {
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unchecked {
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// must be unchecked in order to support `n = type(int256).min`
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return uint256(n >= 0 ? n : -n);
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}
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}
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}
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