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| // SPDX-License-Identifier: MIT | |
| /** | |
| _____ ___ ___ __ ____ _ __ | |
| / ___/____ / (_)___/ (_) /___ __ / __ )(_) /______ | |
| \__ \/ __ \/ / / __ / / __/ / / / / __ / / __/ ___/ | |
| ___/ / /_/ / / / /_/ / / /_/ /_/ / / /_/ / / /_(__ ) | |
| /____/\____/_/_/\__,_/_/\__/\__, / /_____/_/\__/____/ | |
| /____/ | |
| - npm: https://www.npmjs.com/package/solidity-bits | |
| - github: https://github.com/estarriolvetch/solidity-bits | |
| */ | |
| pragma solidity ^0.8.0; | |
| import "./BitScan.sol"; | |
| import "./Popcount.sol"; | |
| /** | |
| * @dev This Library is a modified version of Openzeppelin's BitMaps library with extra features. | |
| * | |
| * 1. Functions of finding the index of the closest set bit from a given index are added. | |
| * The indexing of each bucket is modifed to count from the MSB to the LSB instead of from the LSB to the MSB. | |
| * The modification of indexing makes finding the closest previous set bit more efficient in gas usage. | |
| * 2. Setting and unsetting the bitmap consecutively. | |
| * 3. Accounting number of set bits within a given range. | |
| * | |
| */ | |
| /** | |
| * @dev Library for managing uint256 to bool mapping in a compact and efficient way, providing the keys are sequential. | |
| * Largelly inspired by Uniswap's https://github.com/Uniswap/merkle-distributor/blob/master/contracts/MerkleDistributor.sol[merkle-distributor]. | |
| */ | |
| library BitMaps { | |
| using BitScan for uint256; | |
| uint256 private constant MASK_INDEX_ZERO = (1 << 255); | |
| uint256 private constant MASK_FULL = type(uint256).max; | |
| struct BitMap { | |
| mapping(uint256 => uint256) _data; | |
| } | |
| /** | |
| * @dev Returns whether the bit at `index` is set. | |
| */ | |
| function get(BitMap storage bitmap, uint256 index) internal view returns (bool) { | |
| uint256 bucket = index >> 8; | |
| uint256 mask = MASK_INDEX_ZERO >> (index & 0xff); | |
| return bitmap._data[bucket] & mask != 0; | |
| } | |
| /** | |
| * @dev Sets the bit at `index` to the boolean `value`. | |
| */ | |
| function setTo( | |
| BitMap storage bitmap, | |
| uint256 index, | |
| bool value | |
| ) internal { | |
| if (value) { | |
| set(bitmap, index); | |
| } else { | |
| unset(bitmap, index); | |
| } | |
| } | |
| /** | |
| * @dev Sets the bit at `index`. | |
| */ | |
| function set(BitMap storage bitmap, uint256 index) internal { | |
| uint256 bucket = index >> 8; | |
| uint256 mask = MASK_INDEX_ZERO >> (index & 0xff); | |
| bitmap._data[bucket] |= mask; | |
| } | |
| /** | |
| * @dev Unsets the bit at `index`. | |
| */ | |
| function unset(BitMap storage bitmap, uint256 index) internal { | |
| uint256 bucket = index >> 8; | |
| uint256 mask = MASK_INDEX_ZERO >> (index & 0xff); | |
| bitmap._data[bucket] &= ~mask; | |
| } | |
| /** | |
| * @dev Consecutively sets `amount` of bits starting from the bit at `startIndex`. | |
| */ | |
| function setBatch(BitMap storage bitmap, uint256 startIndex, uint256 amount) internal { | |
| uint256 bucket = startIndex >> 8; | |
| uint256 bucketStartIndex = (startIndex & 0xff); | |
| unchecked { | |
| if(bucketStartIndex + amount < 256) { | |
| bitmap._data[bucket] |= MASK_FULL << (256 - amount) >> bucketStartIndex; | |
| } else { | |
| bitmap._data[bucket] |= MASK_FULL >> bucketStartIndex; | |
| amount -= (256 - bucketStartIndex); | |
| bucket++; | |
| while(amount > 256) { | |
| bitmap._data[bucket] = MASK_FULL; | |
| amount -= 256; | |
| bucket++; | |
| } | |
| bitmap._data[bucket] |= MASK_FULL << (256 - amount); | |
| } | |
| } | |
| } | |
| /** | |
| * @dev Consecutively unsets `amount` of bits starting from the bit at `startIndex`. | |
| */ | |
| function unsetBatch(BitMap storage bitmap, uint256 startIndex, uint256 amount) internal { | |
| uint256 bucket = startIndex >> 8; | |
| uint256 bucketStartIndex = (startIndex & 0xff); | |
| unchecked { | |
| if(bucketStartIndex + amount < 256) { | |
| bitmap._data[bucket] &= ~(MASK_FULL << (256 - amount) >> bucketStartIndex); | |
| } else { | |
| bitmap._data[bucket] &= ~(MASK_FULL >> bucketStartIndex); | |
| amount -= (256 - bucketStartIndex); | |
| bucket++; | |
| while(amount > 256) { | |
| bitmap._data[bucket] = 0; | |
| amount -= 256; | |
| bucket++; | |
| } | |
| bitmap._data[bucket] &= ~(MASK_FULL << (256 - amount)); | |
| } | |
| } | |
| } | |
| /** | |
| * @dev Returns number of set bits within a range. | |
| */ | |
| function popcountA(BitMap storage bitmap, uint256 startIndex, uint256 amount) internal view returns(uint256 count) { | |
| uint256 bucket = startIndex >> 8; | |
| uint256 bucketStartIndex = (startIndex & 0xff); | |
| unchecked { | |
| if(bucketStartIndex + amount < 256) { | |
| count += Popcount.popcount256A( | |
| bitmap._data[bucket] & (MASK_FULL << (256 - amount) >> bucketStartIndex) | |
| ); | |
| } else { | |
| count += Popcount.popcount256A( | |
| bitmap._data[bucket] & (MASK_FULL >> bucketStartIndex) | |
| ); | |
| amount -= (256 - bucketStartIndex); | |
| bucket++; | |
| while(amount > 256) { | |
| count += Popcount.popcount256A(bitmap._data[bucket]); | |
| amount -= 256; | |
| bucket++; | |
| } | |
| count += Popcount.popcount256A( | |
| bitmap._data[bucket] & (MASK_FULL << (256 - amount)) | |
| ); | |
| } | |
| } | |
| } | |
| /** | |
| * @dev Returns number of set bits within a range. | |
| */ | |
| function popcountB(BitMap storage bitmap, uint256 startIndex, uint256 amount) internal view returns(uint256 count) { | |
| uint256 bucket = startIndex >> 8; | |
| uint256 bucketStartIndex = (startIndex & 0xff); | |
| unchecked { | |
| if(bucketStartIndex + amount < 256) { | |
| count += Popcount.popcount256B( | |
| bitmap._data[bucket] & (MASK_FULL << (256 - amount) >> bucketStartIndex) | |
| ); | |
| } else { | |
| count += Popcount.popcount256B( | |
| bitmap._data[bucket] & (MASK_FULL >> bucketStartIndex) | |
| ); | |
| amount -= (256 - bucketStartIndex); | |
| bucket++; | |
| while(amount > 256) { | |
| count += Popcount.popcount256B(bitmap._data[bucket]); | |
| amount -= 256; | |
| bucket++; | |
| } | |
| count += Popcount.popcount256B( | |
| bitmap._data[bucket] & (MASK_FULL << (256 - amount)) | |
| ); | |
| } | |
| } | |
| } | |
| /** | |
| * @dev Find the closest index of the set bit before `index`. | |
| */ | |
| function scanForward(BitMap storage bitmap, uint256 index) internal view returns (uint256 setBitIndex) { | |
| uint256 bucket = index >> 8; | |
| // index within the bucket | |
| uint256 bucketIndex = (index & 0xff); | |
| // load a bitboard from the bitmap. | |
| uint256 bb = bitmap._data[bucket]; | |
| // offset the bitboard to scan from `bucketIndex`. | |
| bb = bb >> (0xff ^ bucketIndex); // bb >> (255 - bucketIndex) | |
| if(bb > 0) { | |
| unchecked { | |
| setBitIndex = (bucket << 8) | (bucketIndex - bb.bitScanForward256()); | |
| } | |
| } else { | |
| while(true) { | |
| require(bucket > 0, "BitMaps: The set bit before the index doesn't exist."); | |
| unchecked { | |
| bucket--; | |
| } | |
| // No offset. Always scan from the least significiant bit now. | |
| bb = bitmap._data[bucket]; | |
| if(bb > 0) { | |
| unchecked { | |
| setBitIndex = (bucket << 8) | (255 - bb.bitScanForward256()); | |
| break; | |
| } | |
| } | |
| } | |
| } | |
| } | |
| function getBucket(BitMap storage bitmap, uint256 bucket) internal view returns (uint256) { | |
| return bitmap._data[bucket]; | |
| } | |
| } | |