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Contract Name:
SablierV2NFTDescriptor
Compiler Version
v0.8.21+commit.d9974bed
Optimization Enabled:
Yes with 1000 runs
Other Settings:
paris EvmVersion
Contract Source Code (Solidity Standard Json-Input format)
// SPDX-License-Identifier: GPL-3.0-or-later // solhint-disable max-line-length,quotes pragma solidity >=0.8.19; import { IERC20Metadata } from "@openzeppelin/contracts/token/ERC20/extensions/IERC20Metadata.sol"; import { IERC721Metadata } from "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol"; import { Base64 } from "@openzeppelin/contracts/utils/Base64.sol"; import { Strings } from "@openzeppelin/contracts/utils/Strings.sol"; import { ISablierV2Lockup } from "./interfaces/ISablierV2Lockup.sol"; import { ISablierV2NFTDescriptor } from "./interfaces/ISablierV2NFTDescriptor.sol"; import { Lockup } from "./types/DataTypes.sol"; import { Errors } from "./libraries/Errors.sol"; import { NFTSVG } from "./libraries/NFTSVG.sol"; import { SVGElements } from "./libraries/SVGElements.sol"; /// @title SablierV2NFTDescriptor /// @notice See the documentation in {ISablierV2NFTDescriptor}. contract SablierV2NFTDescriptor is ISablierV2NFTDescriptor { using Strings for address; using Strings for string; using Strings for uint256; /*////////////////////////////////////////////////////////////////////////// USER-FACING CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @dev Needed to avoid Stack Too Deep. struct TokenURIVars { address asset; string assetSymbol; uint128 depositedAmount; string json; ISablierV2Lockup sablier; string sablierAddress; string status; string svg; uint256 streamedPercentage; string streamingModel; } /// @inheritdoc ISablierV2NFTDescriptor function tokenURI(IERC721Metadata sablier, uint256 streamId) external view override returns (string memory uri) { TokenURIVars memory vars; // Load the contracts. vars.sablier = ISablierV2Lockup(address(sablier)); vars.sablierAddress = address(sablier).toHexString(); vars.asset = address(vars.sablier.getAsset(streamId)); vars.assetSymbol = safeAssetSymbol(vars.asset); vars.depositedAmount = vars.sablier.getDepositedAmount(streamId); // Load the stream's data. vars.status = stringifyStatus(vars.sablier.statusOf(streamId)); vars.streamedPercentage = calculateStreamedPercentage({ streamedAmount: vars.sablier.streamedAmountOf(streamId), depositedAmount: vars.depositedAmount }); vars.streamingModel = mapSymbol(sablier); // Generate the SVG. vars.svg = NFTSVG.generateSVG( NFTSVG.SVGParams({ accentColor: generateAccentColor(address(sablier), streamId), amount: abbreviateAmount({ amount: vars.depositedAmount, decimals: safeAssetDecimals(vars.asset) }), assetAddress: vars.asset.toHexString(), assetSymbol: vars.assetSymbol, duration: calculateDurationInDays({ startTime: vars.sablier.getStartTime(streamId), endTime: vars.sablier.getEndTime(streamId) }), sablierAddress: vars.sablierAddress, progress: stringifyPercentage(vars.streamedPercentage), progressNumerical: vars.streamedPercentage, status: vars.status, streamingModel: vars.streamingModel }) ); // Generate the JSON metadata. vars.json = string.concat( '{"attributes":', generateAttributes({ assetSymbol: vars.assetSymbol, sender: vars.sablier.getSender(streamId).toHexString(), status: vars.status }), ',"description":"', generateDescription({ streamingModel: vars.streamingModel, assetSymbol: vars.assetSymbol, streamId: streamId.toString(), sablierAddress: vars.sablierAddress, assetAddress: vars.asset.toHexString() }), '","external_url":"https://sablier.com","name":"', generateName({ streamingModel: vars.streamingModel, streamId: streamId.toString() }), '","image":"data:image/svg+xml;base64,', Base64.encode(bytes(vars.svg)), '"}' ); // Encode the JSON metadata in Base64. uri = string.concat("data:application/json;base64,", Base64.encode(bytes(vars.json))); } /*////////////////////////////////////////////////////////////////////////// INTERNAL CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Creates an abbreviated representation of the provided amount, rounded down and prefixed with ">= ". /// @dev The abbreviation uses these suffixes: /// - "K" for thousands /// - "M" for millions /// - "B" for billions /// - "T" for trillions /// For example, if the input is 1,234,567, the output is ">= 1.23M". /// @param amount The amount to abbreviate, denoted in units of `decimals`. /// @param decimals The number of decimals to assume when abbreviating the amount. /// @return abbreviation The abbreviated representation of the provided amount, as a string. function abbreviateAmount(uint256 amount, uint256 decimals) internal pure returns (string memory) { if (amount == 0) { return "0"; } uint256 truncatedAmount; unchecked { truncatedAmount = decimals == 0 ? amount : amount / 10 ** decimals; } // Return dummy values when the truncated amount is either very small or very big. if (truncatedAmount < 1) { return string.concat(SVGElements.SIGN_LT, " 1"); } else if (truncatedAmount >= 1e15) { return string.concat(SVGElements.SIGN_GT, " 999.99T"); } string[5] memory suffixes = ["", "K", "M", "B", "T"]; uint256 fractionalAmount; uint256 suffixIndex = 0; // Truncate repeatedly until the amount is less than 1000. unchecked { while (truncatedAmount >= 1000) { fractionalAmount = (truncatedAmount / 10) % 100; // keep the first two digits after the decimal point truncatedAmount /= 1000; suffixIndex += 1; } } // Concatenate the calculated parts to form the final string. string memory prefix = string.concat(SVGElements.SIGN_GE, " "); string memory wholePart = truncatedAmount.toString(); string memory fractionalPart = stringifyFractionalAmount(fractionalAmount); return string.concat(prefix, wholePart, fractionalPart, suffixes[suffixIndex]); } /// @notice Calculates the stream's duration in days, rounding down. function calculateDurationInDays(uint256 startTime, uint256 endTime) internal pure returns (string memory) { uint256 durationInDays; unchecked { durationInDays = (endTime - startTime) / 1 days; } // Return dummy values when the duration is either very small or very big. if (durationInDays == 0) { return string.concat(SVGElements.SIGN_LT, " 1 Day"); } else if (durationInDays > 9999) { return string.concat(SVGElements.SIGN_GT, " 9999 Days"); } string memory suffix = durationInDays == 1 ? " Day" : " Days"; return string.concat(durationInDays.toString(), suffix); } /// @notice Calculates how much of the deposited amount has been streamed so far, as a percentage with 4 implied /// decimals. function calculateStreamedPercentage( uint128 streamedAmount, uint128 depositedAmount ) internal pure returns (uint256) { // This cannot overflow because both inputs are uint128s, and zero deposit amounts are not allowed in Sablier. unchecked { return streamedAmount * 10_000 / depositedAmount; } } /// @notice Generates a pseudo-random HSL color by hashing together the `chainid`, the `sablier` address, /// and the `streamId`. This will be used as the accent color for the SVG. function generateAccentColor(address sablier, uint256 streamId) internal view returns (string memory) { // The chain id is part of the hash so that the generated color is different across chains. uint256 chainId = block.chainid; // Hash the parameters to generate a pseudo-random bit field, which will be used as entropy. // | Hue | Saturation | Lightness | -> Roles // | [31:16] | [15:8] | [7:0] | -> Bit positions uint32 bitField = uint32(uint256(keccak256(abi.encodePacked(chainId, sablier, streamId)))); unchecked { // The hue is a degree on a color wheel, so its range is [0, 360). // Shifting 16 bits to the right means using the bits at positions [31:16]. uint256 hue = (bitField >> 16) % 360; // The saturation is a percentage where 0% is grayscale and 100%, but here the range is bounded to [20,100] // to make the colors more lively. // Shifting 8 bits to the right and applying an 8-bit mask means using the bits at positions [15:8]. uint256 saturation = ((bitField >> 8) & 0xFF) % 80 + 20; // The lightness is typically a percentage between 0% (black) and 100% (white), but here the range // is bounded to [30,100] to avoid dark colors. // Applying an 8-bit mask means using the bits at positions [7:0]. uint256 lightness = (bitField & 0xFF) % 70 + 30; // Finally, concatenate the HSL values to form an SVG color string. return string.concat("hsl(", hue.toString(), ",", saturation.toString(), "%,", lightness.toString(), "%)"); } } /// @notice Generates an array of JSON objects that represent the NFT's attributes: /// - Asset symbol /// - Sender address /// - Status /// @dev These attributes are useful for filtering and sorting the NFTs. function generateAttributes( string memory assetSymbol, string memory sender, string memory status ) internal pure returns (string memory) { return string.concat( '[{"trait_type":"Asset","value":"', assetSymbol, '"},{"trait_type":"Sender","value":"', sender, '"},{"trait_type":"Status","value":"', status, '"}]' ); } /// @notice Generates a string with the NFT's JSON metadata description, which provides a high-level overview. function generateDescription( string memory streamingModel, string memory assetSymbol, string memory streamId, string memory sablierAddress, string memory assetAddress ) internal pure returns (string memory) { return string.concat( "This NFT represents a payment stream in a Sablier V2 ", streamingModel, " contract. The owner of this NFT can withdraw the streamed assets, which are denominated in ", assetSymbol, ".\\n\\n- Stream ID: ", streamId, "\\n- ", streamingModel, " Address: ", sablierAddress, "\\n- ", assetSymbol, " Address: ", assetAddress, "\\n\\n", unicode"⚠️ WARNING: Transferring the NFT makes the new owner the recipient of the stream. The funds are not automatically withdrawn for the previous recipient." ); } /// @notice Generates a string with the NFT's JSON metadata name, which is unique for each stream. /// @dev The `streamId` is equivalent to the ERC-721 `tokenId`. function generateName(string memory streamingModel, string memory streamId) internal pure returns (string memory) { return string.concat("Sablier V2 ", streamingModel, " #", streamId); } /// @notice Maps ERC-721 symbols to human-readable streaming models. /// @dev Reverts if the symbol is unknown. function mapSymbol(IERC721Metadata sablier) internal view returns (string memory) { string memory symbol = sablier.symbol(); if (symbol.equal("SAB-V2-LOCKUP-LIN")) { return "Lockup Linear"; } else if (symbol.equal("SAB-V2-LOCKUP-DYN")) { return "Lockup Dynamic"; } else { revert Errors.SablierV2NFTDescriptor_UnknownNFT(sablier, symbol); } } /// @notice Retrieves the asset's decimals safely, defaulting to "0" if an error occurs. /// @dev Performs a low-level call to handle assets in which the decimals are not implemented. function safeAssetDecimals(address asset) internal view returns (uint8) { (bool success, bytes memory returnData) = asset.staticcall(abi.encodeCall(IERC20Metadata.decimals, ())); if (success && returnData.length == 32) { return abi.decode(returnData, (uint8)); } else { return 0; } } /// @notice Retrieves the asset's symbol safely, defaulting to a hard-coded value if an error occurs. /// @dev Performs a low-level call to handle assets in which the symbol is not implemented or it is a bytes32 /// instead of a string. function safeAssetSymbol(address asset) internal view returns (string memory) { (bool success, bytes memory returnData) = asset.staticcall(abi.encodeCall(IERC20Metadata.symbol, ())); // Non-empty strings have a length greater than 64, and bytes32 has length 32. if (!success || returnData.length <= 64) { return "ERC20"; } string memory symbol = abi.decode(returnData, (string)); // The length check is a precautionary measure to help mitigate potential security threats from malicious assets // injecting scripts in the symbol string. if (bytes(symbol).length > 30) { return "Long Symbol"; } else { return symbol; } } /// @notice Converts the provided fractional amount to a string prefixed by a dot. /// @param fractionalAmount A numerical value with 2 implied decimals. function stringifyFractionalAmount(uint256 fractionalAmount) internal pure returns (string memory) { // Return the empty string if the fractional amount is zero. if (fractionalAmount == 0) { return ""; } // Add a leading zero if the fractional part is less than 10, e.g. for "1", this function returns ".01%". else if (fractionalAmount < 10) { return string.concat(".0", fractionalAmount.toString()); } // Otherwise, stringify the fractional amount simply. else { return string.concat(".", fractionalAmount.toString()); } } /// @notice Converts the provided percentage to a string. /// @param percentage A numerical value with 4 implied decimals. function stringifyPercentage(uint256 percentage) internal pure returns (string memory) { // Extract the last two decimals. string memory fractionalPart = stringifyFractionalAmount(percentage % 100); // Remove the last two decimals. string memory wholePart = (percentage / 100).toString(); // Concatenate the whole and fractional parts. return string.concat(wholePart, fractionalPart, "%"); } /// @notice Retrieves the stream's status as a string. function stringifyStatus(Lockup.Status status) internal pure returns (string memory) { if (status == Lockup.Status.DEPLETED) { return "Depleted"; } else if (status == Lockup.Status.CANCELED) { return "Canceled"; } else if (status == Lockup.Status.STREAMING) { return "Streaming"; } else if (status == Lockup.Status.SETTLED) { return "Settled"; } else { return "Pending"; } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol) pragma solidity ^0.8.0; import "../IERC20.sol"; /** * @dev Interface for the optional metadata functions from the ERC20 standard. * * _Available since v4.1._ */ interface IERC20Metadata is IERC20 { /** * @dev Returns the name of the token. */ function name() external view returns (string memory); /** * @dev Returns the symbol of the token. */ function symbol() external view returns (string memory); /** * @dev Returns the decimals places of the token. */ function decimals() external view returns (uint8); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (token/ERC721/extensions/IERC721Metadata.sol) pragma solidity ^0.8.0; import "../IERC721.sol"; /** * @title ERC-721 Non-Fungible Token Standard, optional metadata extension * @dev See https://eips.ethereum.org/EIPS/eip-721 */ interface IERC721Metadata is IERC721 { /** * @dev Returns the token collection name. */ function name() external view returns (string memory); /** * @dev Returns the token collection symbol. */ function symbol() external view returns (string memory); /** * @dev Returns the Uniform Resource Identifier (URI) for `tokenId` token. */ function tokenURI(uint256 tokenId) external view returns (string memory); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.7.0) (utils/Base64.sol) pragma solidity ^0.8.0; /** * @dev Provides a set of functions to operate with Base64 strings. * * _Available since v4.5._ */ library Base64 { /** * @dev Base64 Encoding/Decoding Table */ string internal constant _TABLE = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; /** * @dev Converts a `bytes` to its Bytes64 `string` representation. */ function encode(bytes memory data) internal pure returns (string memory) { /** * Inspired by Brecht Devos (Brechtpd) implementation - MIT licence * https://github.com/Brechtpd/base64/blob/e78d9fd951e7b0977ddca77d92dc85183770daf4/base64.sol */ if (data.length == 0) return ""; // Loads the table into memory string memory table = _TABLE; // Encoding takes 3 bytes chunks of binary data from `bytes` data parameter // and split into 4 numbers of 6 bits. // The final Base64 length should be `bytes` data length multiplied by 4/3 rounded up // - `data.length + 2` -> Round up // - `/ 3` -> Number of 3-bytes chunks // - `4 *` -> 4 characters for each chunk string memory result = new string(4 * ((data.length + 2) / 3)); /// @solidity memory-safe-assembly assembly { // Prepare the lookup table (skip the first "length" byte) let tablePtr := add(table, 1) // Prepare result pointer, jump over length let resultPtr := add(result, 32) // Run over the input, 3 bytes at a time for { let dataPtr := data let endPtr := add(data, mload(data)) } lt(dataPtr, endPtr) { } { // Advance 3 bytes dataPtr := add(dataPtr, 3) let input := mload(dataPtr) // To write each character, shift the 3 bytes (18 bits) chunk // 4 times in blocks of 6 bits for each character (18, 12, 6, 0) // and apply logical AND with 0x3F which is the number of // the previous character in the ASCII table prior to the Base64 Table // The result is then added to the table to get the character to write, // and finally write it in the result pointer but with a left shift // of 256 (1 byte) - 8 (1 ASCII char) = 248 bits mstore8(resultPtr, mload(add(tablePtr, and(shr(18, input), 0x3F)))) resultPtr := add(resultPtr, 1) // Advance mstore8(resultPtr, mload(add(tablePtr, and(shr(12, input), 0x3F)))) resultPtr := add(resultPtr, 1) // Advance mstore8(resultPtr, mload(add(tablePtr, and(shr(6, input), 0x3F)))) resultPtr := add(resultPtr, 1) // Advance mstore8(resultPtr, mload(add(tablePtr, and(input, 0x3F)))) resultPtr := add(resultPtr, 1) // Advance } // When data `bytes` is not exactly 3 bytes long // it is padded with `=` characters at the end switch mod(mload(data), 3) case 1 { mstore8(sub(resultPtr, 1), 0x3d) mstore8(sub(resultPtr, 2), 0x3d) } case 2 { mstore8(sub(resultPtr, 1), 0x3d) } } return result; } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/Strings.sol) pragma solidity ^0.8.0; import "./math/Math.sol"; import "./math/SignedMath.sol"; /** * @dev String operations. */ library Strings { bytes16 private constant _SYMBOLS = "0123456789abcdef"; uint8 private constant _ADDRESS_LENGTH = 20; /** * @dev Converts a `uint256` to its ASCII `string` decimal representation. */ function toString(uint256 value) internal pure returns (string memory) { unchecked { uint256 length = Math.log10(value) + 1; string memory buffer = new string(length); uint256 ptr; /// @solidity memory-safe-assembly assembly { ptr := add(buffer, add(32, length)) } while (true) { ptr--; /// @solidity memory-safe-assembly assembly { mstore8(ptr, byte(mod(value, 10), _SYMBOLS)) } value /= 10; if (value == 0) break; } return buffer; } } /** * @dev Converts a `int256` to its ASCII `string` decimal representation. */ function toString(int256 value) internal pure returns (string memory) { return string(abi.encodePacked(value < 0 ? "-" : "", toString(SignedMath.abs(value)))); } /** * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation. */ function toHexString(uint256 value) internal pure returns (string memory) { unchecked { return toHexString(value, Math.log256(value) + 1); } } /** * @dev Converts a `uint256` to its ASCII `string` hexadecimal representation with fixed length. */ function toHexString(uint256 value, uint256 length) internal pure returns (string memory) { bytes memory buffer = new bytes(2 * length + 2); buffer[0] = "0"; buffer[1] = "x"; for (uint256 i = 2 * length + 1; i > 1; --i) { buffer[i] = _SYMBOLS[value & 0xf]; value >>= 4; } require(value == 0, "Strings: hex length insufficient"); return string(buffer); } /** * @dev Converts an `address` with fixed length of 20 bytes to its not checksummed ASCII `string` hexadecimal representation. */ function toHexString(address addr) internal pure returns (string memory) { return toHexString(uint256(uint160(addr)), _ADDRESS_LENGTH); } /** * @dev Returns true if the two strings are equal. */ function equal(string memory a, string memory b) internal pure returns (bool) { return keccak256(bytes(a)) == keccak256(bytes(b)); } }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol"; import { IERC721Metadata } from "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol"; import { Lockup } from "../types/DataTypes.sol"; import { ISablierV2Base } from "./ISablierV2Base.sol"; import { ISablierV2NFTDescriptor } from "./ISablierV2NFTDescriptor.sol"; /// @title ISablierV2Lockup /// @notice Common logic between all Sablier V2 Lockup streaming contracts. interface ISablierV2Lockup is ISablierV2Base, // 1 inherited component IERC721Metadata // 2 inherited components { /*////////////////////////////////////////////////////////////////////////// EVENTS //////////////////////////////////////////////////////////////////////////*/ /// @notice Emitted when a stream is canceled. /// @param streamId The id of the stream. /// @param sender The address of the stream's sender. /// @param recipient The address of the stream's recipient. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param senderAmount The amount of assets refunded to the stream's sender, denoted in units of the asset's /// decimals. /// @param recipientAmount The amount of assets left for the stream's recipient to withdraw, denoted in units of the /// asset's decimals. event CancelLockupStream( uint256 streamId, address indexed sender, address indexed recipient, IERC20 indexed asset, uint128 senderAmount, uint128 recipientAmount ); /// @notice Emitted when a sender gives up the right to cancel a stream. /// @param streamId The id of the stream. event RenounceLockupStream(uint256 indexed streamId); /// @notice Emitted when the admin sets a new NFT descriptor contract. /// @param admin The address of the current contract admin. /// @param oldNFTDescriptor The address of the old NFT descriptor contract. /// @param newNFTDescriptor The address of the new NFT descriptor contract. event SetNFTDescriptor( address indexed admin, ISablierV2NFTDescriptor oldNFTDescriptor, ISablierV2NFTDescriptor newNFTDescriptor ); /// @notice Emitted when assets are withdrawn from a stream. /// @param streamId The id of the stream. /// @param to The address that has received the withdrawn assets. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param amount The amount of assets withdrawn, denoted in units of the asset's decimals. event WithdrawFromLockupStream(uint256 indexed streamId, address indexed to, IERC20 indexed asset, uint128 amount); /*////////////////////////////////////////////////////////////////////////// CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Retrieves the address of the ERC-20 asset used for streaming. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getAsset(uint256 streamId) external view returns (IERC20 asset); /// @notice Retrieves the amount deposited in the stream, denoted in units of the asset's decimals. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getDepositedAmount(uint256 streamId) external view returns (uint128 depositedAmount); /// @notice Retrieves the stream's end time, which is a Unix timestamp. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getEndTime(uint256 streamId) external view returns (uint40 endTime); /// @notice Retrieves the stream's recipient. /// @dev Reverts if the NFT has been burned. /// @param streamId The stream id for the query. function getRecipient(uint256 streamId) external view returns (address recipient); /// @notice Retrieves the amount refunded to the sender after a cancellation, denoted in units of the asset's /// decimals. This amount is always zero unless the stream was canceled. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getRefundedAmount(uint256 streamId) external view returns (uint128 refundedAmount); /// @notice Retrieves the stream's sender. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getSender(uint256 streamId) external view returns (address sender); /// @notice Retrieves the stream's start time, which is a Unix timestamp. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getStartTime(uint256 streamId) external view returns (uint40 startTime); /// @notice Retrieves the amount withdrawn from the stream, denoted in units of the asset's decimals. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function getWithdrawnAmount(uint256 streamId) external view returns (uint128 withdrawnAmount); /// @notice Retrieves a flag indicating whether the stream can be canceled. When the stream is cold, this /// flag is always `false`. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function isCancelable(uint256 streamId) external view returns (bool result); /// @notice Retrieves a flag indicating whether the stream is cold, i.e. settled, canceled, or depleted. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function isCold(uint256 streamId) external view returns (bool result); /// @notice Retrieves a flag indicating whether the stream is depleted. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function isDepleted(uint256 streamId) external view returns (bool result); /// @notice Retrieves a flag indicating whether the stream exists. /// @dev Does not revert if `streamId` references a null stream. /// @param streamId The stream id for the query. function isStream(uint256 streamId) external view returns (bool result); /// @notice Retrieves a flag indicating whether the stream NFT can be transferred. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function isTransferable(uint256 streamId) external view returns (bool result); /// @notice Retrieves a flag indicating whether the stream is warm, i.e. either pending or streaming. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function isWarm(uint256 streamId) external view returns (bool result); /// @notice Counter for stream ids, used in the create functions. function nextStreamId() external view returns (uint256); /// @notice Calculates the amount that the sender would be refunded if the stream were canceled, denoted in units /// of the asset's decimals. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function refundableAmountOf(uint256 streamId) external view returns (uint128 refundableAmount); /// @notice Retrieves the stream's status. /// @param streamId The stream id for the query. function statusOf(uint256 streamId) external view returns (Lockup.Status status); /// @notice Calculates the amount streamed to the recipient, denoted in units of the asset's decimals. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function streamedAmountOf(uint256 streamId) external view returns (uint128 streamedAmount); /// @notice Retrieves a flag indicating whether the stream was canceled. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function wasCanceled(uint256 streamId) external view returns (bool result); /// @notice Calculates the amount that the recipient can withdraw from the stream, denoted in units of the asset's /// decimals. /// @dev Reverts if `streamId` references a null stream. /// @param streamId The stream id for the query. function withdrawableAmountOf(uint256 streamId) external view returns (uint128 withdrawableAmount); /*////////////////////////////////////////////////////////////////////////// NON-CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Burns the NFT associated with the stream. /// /// @dev Emits a {Transfer} event. /// /// Requirements: /// - Must not be delegate called. /// - `streamId` must reference a depleted stream. /// - The NFT must exist. /// - `msg.sender` must be either the NFT owner or an approved third party. /// /// @param streamId The id of the stream NFT to burn. function burn(uint256 streamId) external; /// @notice Cancels the stream and refunds any remaining assets to the sender. /// /// @dev Emits a {Transfer}, {CancelLockupStream}, and {MetadataUpdate} event. /// /// Notes: /// - If there any assets left for the recipient to withdraw, the stream is marked as canceled. Otherwise, the /// stream is marked as depleted. /// - This function attempts to invoke a hook on the recipient, if the resolved address is a contract. /// /// Requirements: /// - Must not be delegate called. /// - The stream must be warm and cancelable. /// - `msg.sender` must be the stream's sender. /// /// @param streamId The id of the stream to cancel. function cancel(uint256 streamId) external; /// @notice Cancels multiple streams and refunds any remaining assets to the sender. /// /// @dev Emits multiple {Transfer}, {CancelLockupStream}, and {MetadataUpdate} events. /// /// Notes: /// - Refer to the notes in {cancel}. /// /// Requirements: /// - All requirements from {cancel} must be met for each stream. /// /// @param streamIds The ids of the streams to cancel. function cancelMultiple(uint256[] calldata streamIds) external; /// @notice Removes the right of the stream's sender to cancel the stream. /// /// @dev Emits a {RenounceLockupStream} and {MetadataUpdate} event. /// /// Notes: /// - This is an irreversible operation. /// - This function attempts to invoke a hook on the stream's recipient, provided that the recipient is a contract. /// /// Requirements: /// - Must not be delegate called. /// - `streamId` must reference a warm stream. /// - `msg.sender` must be the stream's sender. /// - The stream must be cancelable. /// /// @param streamId The id of the stream to renounce. function renounce(uint256 streamId) external; /// @notice Sets a new NFT descriptor contract, which produces the URI describing the Sablier stream NFTs. /// /// @dev Emits a {SetNFTDescriptor} and {BatchMetadataUpdate} event. /// /// Notes: /// - Does not revert if the NFT descriptor is the same. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param newNFTDescriptor The address of the new NFT descriptor contract. function setNFTDescriptor(ISablierV2NFTDescriptor newNFTDescriptor) external; /// @notice Withdraws the provided amount of assets from the stream to the `to` address. /// /// @dev Emits a {Transfer}, {WithdrawFromLockupStream}, and {MetadataUpdate} event. /// /// Notes: /// - This function attempts to invoke a hook on the stream's recipient, provided that the recipient is a contract /// and `msg.sender` is either the sender or an approved operator. /// /// Requirements: /// - Must not be delegate called. /// - `streamId` must not reference a null or depleted stream. /// - `msg.sender` must be the stream's sender, the stream's recipient or an approved third party. /// - `to` must be the recipient if `msg.sender` is the stream's sender. /// - `to` must not be the zero address. /// - `amount` must be greater than zero and must not exceed the withdrawable amount. /// /// @param streamId The id of the stream to withdraw from. /// @param to The address receiving the withdrawn assets. /// @param amount The amount to withdraw, denoted in units of the asset's decimals. function withdraw(uint256 streamId, address to, uint128 amount) external; /// @notice Withdraws the maximum withdrawable amount from the stream to the provided address `to`. /// /// @dev Emits a {Transfer}, {WithdrawFromLockupStream}, and {MetadataUpdate} event. /// /// Notes: /// - Refer to the notes in {withdraw}. /// /// Requirements: /// - Refer to the requirements in {withdraw}. /// /// @param streamId The id of the stream to withdraw from. /// @param to The address receiving the withdrawn assets. function withdrawMax(uint256 streamId, address to) external; /// @notice Withdraws the maximum withdrawable amount from the stream to the current recipient, and transfers the /// NFT to `newRecipient`. /// /// @dev Emits a {WithdrawFromLockupStream} and a {Transfer} event. /// /// Notes: /// - If the withdrawable amount is zero, the withdrawal is skipped. /// - Refer to the notes in {withdraw}. /// /// Requirements: /// - `msg.sender` must be the stream's recipient. /// - Refer to the requirements in {withdraw}. /// - Refer to the requirements in {IERC721.transferFrom}. /// /// @param streamId The id of the stream NFT to transfer. /// @param newRecipient The address of the new owner of the stream NFT. function withdrawMaxAndTransfer(uint256 streamId, address newRecipient) external; /// @notice Withdraws assets from streams to the provided address `to`. /// /// @dev Emits multiple {Transfer}, {WithdrawFromLockupStream}, and {MetadataUpdate} events. /// /// Notes: /// - This function attempts to call a hook on the recipient of each stream, unless `msg.sender` is the recipient. /// /// Requirements: /// - All requirements from {withdraw} must be met for each stream. /// - There must be an equal number of `streamIds` and `amounts`. /// /// @param streamIds The ids of the streams to withdraw from. /// @param to The address receiving the withdrawn assets. /// @param amounts The amounts to withdraw, denoted in units of the asset's decimals. function withdrawMultiple(uint256[] calldata streamIds, address to, uint128[] calldata amounts) external; }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC721Metadata } from "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol"; /// @title ISablierV2NFTDescriptor /// @notice This contract generates the URI describing the Sablier V2 stream NFTs. /// @dev Inspired by Uniswap V3 Positions NFTs. interface ISablierV2NFTDescriptor { /// @notice Produces the URI describing a particular stream NFT. /// @dev This is a data URI with the JSON contents directly inlined. /// @param sablier The address of the Sablier contract the stream was created in. /// @param streamId The id of the stream for which to produce a description. /// @return uri The URI of the ERC721-compliant metadata. function tokenURI(IERC721Metadata sablier, uint256 streamId) external view returns (string memory uri); }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol"; import { UD2x18 } from "@prb/math/src/UD2x18.sol"; import { UD60x18 } from "@prb/math/src/UD60x18.sol"; // DataTypes.sol // // This file defines all structs used in V2 Core, most of which are organized under three namespaces: // // - Lockup // - LockupDynamic // - LockupLinear // // You will notice that some structs contain "slot" annotations - they are used to indicate the // storage layout of the struct. It is more gas efficient to group small data types together so // that they fit in a single 32-byte slot. /// @notice Struct encapsulating the broker parameters passed to the create functions. Both can be set to zero. /// @param account The address receiving the broker's fee. /// @param fee The broker's percentage fee from the total amount, denoted as a fixed-point number where 1e18 is 100%. struct Broker { address account; UD60x18 fee; } /// @notice Namespace for the structs used in both {SablierV2LockupLinear} and {SablierV2LockupDynamic}. library Lockup { /// @notice Struct encapsulating the deposit, withdrawn, and refunded amounts, all denoted in units /// of the asset's decimals. /// @dev Because the deposited and the withdrawn amount are often read together, declaring them in /// the same slot saves gas. /// @param deposited The initial amount deposited in the stream, net of fees. /// @param withdrawn The cumulative amount withdrawn from the stream. /// @param refunded The amount refunded to the sender. Unless the stream was canceled, this is always zero. struct Amounts { // slot 0 uint128 deposited; uint128 withdrawn; // slot 1 uint128 refunded; } /// @notice Struct encapsulating the deposit amount, the protocol fee amount, and the broker fee amount, /// all denoted in units of the asset's decimals. /// @param deposit The amount to deposit in the stream. /// @param protocolFee The protocol fee amount. /// @param brokerFee The broker fee amount. struct CreateAmounts { uint128 deposit; uint128 protocolFee; uint128 brokerFee; } /// @notice Enum representing the different statuses of a stream. /// @custom:value PENDING Stream created but not started; assets are in a pending state. /// @custom:value STREAMING Active stream where assets are currently being streamed. /// @custom:value SETTLED All assets have been streamed; recipient is due to withdraw them. /// @custom:value CANCELED Canceled stream; remaining assets await recipient's withdrawal. /// @custom:value DEPLETED Depleted stream; all assets have been withdrawn and/or refunded. enum Status { PENDING, // value 0 STREAMING, // value 1 SETTLED, // value 2 CANCELED, // value 3 DEPLETED // value 4 } } /// @notice Namespace for the structs used in {SablierV2LockupDynamic}. library LockupDynamic { /// @notice Struct encapsulating the parameters for the {SablierV2LockupDynamic.createWithDeltas} function. /// @param sender The address streaming the assets, with the ability to cancel the stream. It doesn't have to be the /// same as `msg.sender`. /// @param recipient The address receiving the assets. /// @param totalAmount The total amount of ERC-20 assets to be paid, including the stream deposit and any potential /// fees, all denoted in units of the asset's decimals. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param cancelable Indicates if the stream is cancelable. /// @param transferable Indicates if the stream NFT is transferable. /// @param broker Struct containing (i) the address of the broker assisting in creating the stream, and (ii) the /// percentage fee paid to the broker from `totalAmount`, denoted as a fixed-point number. Both can be set to zero. /// @param segments Segments with deltas used to compose the custom streaming curve. Milestones are calculated by /// starting from `block.timestamp` and adding each delta to the previous milestone. struct CreateWithDeltas { address sender; bool cancelable; bool transferable; address recipient; uint128 totalAmount; IERC20 asset; Broker broker; SegmentWithDelta[] segments; } /// @notice Struct encapsulating the parameters for the {SablierV2LockupDynamic.createWithMilestones} /// function. /// @param sender The address streaming the assets, with the ability to cancel the stream. It doesn't have to be the /// same as `msg.sender`. /// @param startTime The Unix timestamp indicating the stream's start. /// @param cancelable Indicates if the stream is cancelable. /// @param transferable Indicates if the stream NFT is transferable. /// @param recipient The address receiving the assets. /// @param totalAmount The total amount of ERC-20 assets to be paid, including the stream deposit and any potential /// fees, all denoted in units of the asset's decimals. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param broker Struct containing (i) the address of the broker assisting in creating the stream, and (ii) the /// percentage fee paid to the broker from `totalAmount`, denoted as a fixed-point number. Both can be set to zero. /// @param segments Segments used to compose the custom streaming curve. struct CreateWithMilestones { address sender; uint40 startTime; bool cancelable; bool transferable; address recipient; uint128 totalAmount; IERC20 asset; Broker broker; Segment[] segments; } /// @notice Struct encapsulating the time range. /// @param start The Unix timestamp indicating the stream's start. /// @param end The Unix timestamp indicating the stream's end. struct Range { uint40 start; uint40 end; } /// @notice Segment struct used in the Lockup Dynamic stream. /// @param amount The amount of assets to be streamed in this segment, denoted in units of the asset's decimals. /// @param exponent The exponent of this segment, denoted as a fixed-point number. /// @param milestone The Unix timestamp indicating this segment's end. struct Segment { // slot 0 uint128 amount; UD2x18 exponent; uint40 milestone; } /// @notice Segment struct used at runtime in {SablierV2LockupDynamic.createWithDeltas}. /// @param amount The amount of assets to be streamed in this segment, denoted in units of the asset's decimals. /// @param exponent The exponent of this segment, denoted as a fixed-point number. /// @param delta The time difference in seconds between this segment and the previous one. struct SegmentWithDelta { uint128 amount; UD2x18 exponent; uint40 delta; } /// @notice Lockup Dynamic stream. /// @dev The fields are arranged like this to save gas via tight variable packing. /// @param sender The address streaming the assets, with the ability to cancel the stream. /// @param startTime The Unix timestamp indicating the stream's start. /// @param endTime The Unix timestamp indicating the stream's end. /// @param isCancelable Boolean indicating if the stream is cancelable. /// @param wasCanceled Boolean indicating if the stream was canceled. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param isDepleted Boolean indicating if the stream is depleted. /// @param isStream Boolean indicating if the struct entity exists. /// @param isTransferable Boolean indicating if the stream NFT is transferable. /// @param amounts Struct containing the deposit, withdrawn, and refunded amounts, all denoted in units of the /// asset's decimals. /// @param segments Segments used to compose the custom streaming curve. struct Stream { // slot 0 address sender; uint40 startTime; uint40 endTime; bool isCancelable; bool wasCanceled; // slot 1 IERC20 asset; bool isDepleted; bool isStream; bool isTransferable; // slot 2 and 3 Lockup.Amounts amounts; // slots [4..n] Segment[] segments; } } /// @notice Namespace for the structs used in {SablierV2LockupLinear}. library LockupLinear { /// @notice Struct encapsulating the parameters for the {SablierV2LockupLinear.createWithDurations} function. /// @param sender The address streaming the assets, with the ability to cancel the stream. It doesn't have to be the /// same as `msg.sender`. /// @param recipient The address receiving the assets. /// @param totalAmount The total amount of ERC-20 assets to be paid, including the stream deposit and any potential /// fees, all denoted in units of the asset's decimals. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param cancelable Indicates if the stream is cancelable. /// @param transferable Indicates if the stream NFT is transferable. /// @param durations Struct containing (i) cliff period duration and (ii) total stream duration, both in seconds. /// @param broker Struct containing (i) the address of the broker assisting in creating the stream, and (ii) the /// percentage fee paid to the broker from `totalAmount`, denoted as a fixed-point number. Both can be set to zero. struct CreateWithDurations { address sender; address recipient; uint128 totalAmount; IERC20 asset; bool cancelable; bool transferable; Durations durations; Broker broker; } /// @notice Struct encapsulating the parameters for the {SablierV2LockupLinear.createWithRange} function. /// @param sender The address streaming the assets, with the ability to cancel the stream. It doesn't have to be the /// same as `msg.sender`. /// @param recipient The address receiving the assets. /// @param totalAmount The total amount of ERC-20 assets to be paid, including the stream deposit and any potential /// fees, all denoted in units of the asset's decimals. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param cancelable Indicates if the stream is cancelable. /// @param transferable Indicates if the stream NFT is transferable. /// @param range Struct containing (i) the stream's start time, (ii) cliff time, and (iii) end time, all as Unix /// timestamps. /// @param broker Struct containing (i) the address of the broker assisting in creating the stream, and (ii) the /// percentage fee paid to the broker from `totalAmount`, denoted as a fixed-point number. Both can be set to zero. struct CreateWithRange { address sender; address recipient; uint128 totalAmount; IERC20 asset; bool cancelable; bool transferable; Range range; Broker broker; } /// @notice Struct encapsulating the cliff duration and the total duration. /// @param cliff The cliff duration in seconds. /// @param total The total duration in seconds. struct Durations { uint40 cliff; uint40 total; } /// @notice Struct encapsulating the time range. /// @param start The Unix timestamp for the stream's start. /// @param cliff The Unix timestamp for the cliff period's end. /// @param end The Unix timestamp for the stream's end. struct Range { uint40 start; uint40 cliff; uint40 end; } /// @notice Lockup Linear stream. /// @dev The fields are arranged like this to save gas via tight variable packing. /// @param sender The address streaming the assets, with the ability to cancel the stream. /// @param startTime The Unix timestamp indicating the stream's start. /// @param cliffTime The Unix timestamp indicating the cliff period's end. /// @param isCancelable Boolean indicating if the stream is cancelable. /// @param wasCanceled Boolean indicating if the stream was canceled. /// @param asset The contract address of the ERC-20 asset used for streaming. /// @param endTime The Unix timestamp indicating the stream's end. /// @param isDepleted Boolean indicating if the stream is depleted. /// @param isStream Boolean indicating if the struct entity exists. /// @param isTransferable Boolean indicating if the stream NFT is transferable. /// @param amounts Struct containing the deposit, withdrawn, and refunded amounts, all denoted in units of the /// asset's decimals. struct Stream { // slot 0 address sender; uint40 startTime; uint40 cliffTime; bool isCancelable; bool wasCanceled; // slot 1 IERC20 asset; uint40 endTime; bool isDepleted; bool isStream; bool isTransferable; // slot 2 and 3 Lockup.Amounts amounts; } }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol"; import { IERC721Metadata } from "@openzeppelin/contracts/token/ERC721/extensions/IERC721Metadata.sol"; import { UD60x18 } from "@prb/math/src/UD60x18.sol"; /// @title Errors /// @notice Library containing all custom errors the protocol may revert with. library Errors { /*////////////////////////////////////////////////////////////////////////// GENERICS //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when `msg.sender` is not the admin. error CallerNotAdmin(address admin, address caller); /// @notice Thrown when trying to delegate call to a function that disallows delegate calls. error DelegateCall(); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-BASE //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when trying to claim protocol revenues for an asset with no accrued revenues. error SablierV2Base_NoProtocolRevenues(IERC20 asset); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-FLASH-LOAN //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when trying to flash loan an unsupported asset. error SablierV2FlashLoan_AssetNotFlashLoanable(IERC20 asset); /// @notice Thrown when trying to flash loan an amount greater than or equal to 2^128. error SablierV2FlashLoan_AmountTooHigh(uint256 amount); /// @notice Thrown when the calculated fee during a flash loan is greater than or equal to 2^128. error SablierV2FlashLoan_CalculatedFeeTooHigh(uint256 amount); /// @notice Thrown when the callback to the flash borrower fails. error SablierV2FlashLoan_FlashBorrowFail(); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-LOCKUP //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when the broker fee exceeds the maximum allowed fee. error SablierV2Lockup_BrokerFeeTooHigh(UD60x18 brokerFee, UD60x18 maxFee); /// @notice Thrown when trying to create a stream with a zero deposit amount. error SablierV2Lockup_DepositAmountZero(); /// @notice Thrown when trying to create a stream with an end time not in the future. error SablierV2Lockup_EndTimeNotInTheFuture(uint40 currentTime, uint40 endTime); /// @notice Thrown when the stream's sender tries to withdraw to an address other than the recipient's. error SablierV2Lockup_InvalidSenderWithdrawal(uint256 streamId, address sender, address to); /// @notice Thrown when trying to transfer Stream NFT when transferability is disabled. error SablierV2Lockup_NotTransferable(uint256 tokenId); /// @notice Thrown when the id references a null stream. error SablierV2Lockup_Null(uint256 streamId); /// @notice Thrown when trying to withdraw an amount greater than the withdrawable amount. error SablierV2Lockup_Overdraw(uint256 streamId, uint128 amount, uint128 withdrawableAmount); /// @notice Thrown when the protocol fee exceeds the maximum allowed fee. error SablierV2Lockup_ProtocolFeeTooHigh(UD60x18 protocolFee, UD60x18 maxFee); /// @notice Thrown when trying to cancel or renounce a canceled stream. error SablierV2Lockup_StreamCanceled(uint256 streamId); /// @notice Thrown when trying to cancel, renounce, or withdraw from a depleted stream. error SablierV2Lockup_StreamDepleted(uint256 streamId); /// @notice Thrown when trying to cancel or renounce a stream that is not cancelable. error SablierV2Lockup_StreamNotCancelable(uint256 streamId); /// @notice Thrown when trying to burn a stream that is not depleted. error SablierV2Lockup_StreamNotDepleted(uint256 streamId); /// @notice Thrown when trying to cancel or renounce a settled stream. error SablierV2Lockup_StreamSettled(uint256 streamId); /// @notice Thrown when `msg.sender` lacks authorization to perform an action. error SablierV2Lockup_Unauthorized(uint256 streamId, address caller); /// @notice Thrown when trying to withdraw zero assets from a stream. error SablierV2Lockup_WithdrawAmountZero(uint256 streamId); /// @notice Thrown when trying to withdraw from multiple streams and the number of stream ids does /// not match the number of withdraw amounts. error SablierV2Lockup_WithdrawArrayCountsNotEqual(uint256 streamIdsCount, uint256 amountsCount); /// @notice Thrown when trying to withdraw to the zero address. error SablierV2Lockup_WithdrawToZeroAddress(); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-LOCKUP-DYNAMIC //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when trying to create a stream with a deposit amount not equal to the sum of the /// segment amounts. error SablierV2LockupDynamic_DepositAmountNotEqualToSegmentAmountsSum( uint128 depositAmount, uint128 segmentAmountsSum ); /// @notice Thrown when trying to create a stream with more segments than the maximum allowed. error SablierV2LockupDynamic_SegmentCountTooHigh(uint256 count); /// @notice Thrown when trying to create a stream with no segments. error SablierV2LockupDynamic_SegmentCountZero(); /// @notice Thrown when trying to create a stream with unordered segment milestones. error SablierV2LockupDynamic_SegmentMilestonesNotOrdered( uint256 index, uint40 previousMilestone, uint40 currentMilestone ); /// @notice Thrown when trying to create a stream with a start time not strictly less than the first /// segment milestone. error SablierV2LockupDynamic_StartTimeNotLessThanFirstSegmentMilestone( uint40 startTime, uint40 firstSegmentMilestone ); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-LOCKUP-LINEAR //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when trying to create a stream with a cliff time not strictly less than the end time. error SablierV2LockupLinear_CliffTimeNotLessThanEndTime(uint40 cliffTime, uint40 endTime); /// @notice Thrown when trying to create a stream with a start time greater than the cliff time. error SablierV2LockupLinear_StartTimeGreaterThanCliffTime(uint40 startTime, uint40 cliffTime); /*////////////////////////////////////////////////////////////////////////// SABLIER-V2-NFT-DESCRIPTOR //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when trying to generate the token URI for an unknown ERC-721 NFT contract. error SablierV2NFTDescriptor_UnknownNFT(IERC721Metadata nft, string symbol); }
// SPDX-License-Identifier: GPL-3.0-or-later // solhint-disable quotes pragma solidity >=0.8.19; import { Strings } from "@openzeppelin/contracts/utils/Strings.sol"; import { SVGElements } from "./SVGElements.sol"; library NFTSVG { using Strings for uint256; uint256 internal constant CARD_MARGIN = 16; struct SVGParams { string accentColor; string amount; string assetAddress; string assetSymbol; string duration; string progress; uint256 progressNumerical; string sablierAddress; string status; string streamingModel; } struct SVGVars { string amountCard; uint256 amountWidth; uint256 amountXPosition; string cards; uint256 cardsWidth; string durationCard; uint256 durationWidth; uint256 durationXPosition; string progressCard; uint256 progressWidth; uint256 progressXPosition; string statusCard; uint256 statusWidth; uint256 statusXPosition; } function generateSVG(SVGParams memory params) internal pure returns (string memory) { SVGVars memory vars; // Generate the progress card. (vars.progressWidth, vars.progressCard) = SVGElements.card({ cardType: SVGElements.CardType.PROGRESS, content: params.progress, circle: SVGElements.progressCircle({ progressNumerical: params.progressNumerical, accentColor: params.accentColor }) }); // Generate the status card. (vars.statusWidth, vars.statusCard) = SVGElements.card({ cardType: SVGElements.CardType.STATUS, content: params.status }); // Generate the deposit amount card. (vars.amountWidth, vars.amountCard) = SVGElements.card({ cardType: SVGElements.CardType.AMOUNT, content: params.amount }); // Generate the duration card. (vars.durationWidth, vars.durationCard) = SVGElements.card({ cardType: SVGElements.CardType.DURATION, content: params.duration }); unchecked { // Calculate the width of the row containing the cards and the margins between them. vars.cardsWidth = vars.amountWidth + vars.durationWidth + vars.progressWidth + vars.statusWidth + CARD_MARGIN * 3; // Calculate the positions on the X axis based on the following layout: // // ___________________________ SVG Width (1000px) ___________________________ // | | | | | | | | | | // | <-> | Progress | 16px | Status | 16px | Amount | 16px | Duration | <-> | vars.progressXPosition = (1000 - vars.cardsWidth) / 2; vars.statusXPosition = vars.progressXPosition + vars.progressWidth + CARD_MARGIN; vars.amountXPosition = vars.statusXPosition + vars.statusWidth + CARD_MARGIN; vars.durationXPosition = vars.amountXPosition + vars.amountWidth + CARD_MARGIN; } // Concatenate all cards. vars.cards = string.concat(vars.progressCard, vars.statusCard, vars.amountCard, vars.durationCard); return string.concat( '<svg xmlns="http://www.w3.org/2000/svg" width="1000" height="1000" viewBox="0 0 1000 1000">', SVGElements.BACKGROUND, generateDefs(params.accentColor, params.status, vars.cards), generateFloatingText(params.sablierAddress, params.streamingModel, params.assetAddress, params.assetSymbol), generateHrefs(vars.progressXPosition, vars.statusXPosition, vars.amountXPosition, vars.durationXPosition), "</svg>" ); } function generateDefs( string memory accentColor, string memory status, string memory cards ) internal pure returns (string memory) { return string.concat( "<defs>", SVGElements.GLOW, SVGElements.NOISE, SVGElements.LOGO, SVGElements.FLOATING_TEXT, SVGElements.gradients(accentColor), SVGElements.hourglass(status), cards, "</defs>" ); } function generateFloatingText( string memory sablierAddress, string memory streamingModel, string memory assetAddress, string memory assetSymbol ) internal pure returns (string memory) { return string.concat( '<text text-rendering="optimizeSpeed">', SVGElements.floatingText({ offset: "-100%", text: string.concat(sablierAddress, unicode" • ", "Sablier V2 ", streamingModel) }), SVGElements.floatingText({ offset: "0%", text: string.concat(sablierAddress, unicode" • ", "Sablier V2 ", streamingModel) }), SVGElements.floatingText({ offset: "-50%", text: string.concat(assetAddress, unicode" • ", assetSymbol) }), SVGElements.floatingText({ offset: "50%", text: string.concat(assetAddress, unicode" • ", assetSymbol) }), "</text>" ); } function generateHrefs( uint256 progressXPosition, uint256 statusXPosition, uint256 amountXPosition, uint256 durationXPosition ) internal pure returns (string memory) { return string.concat( '<use href="#Glow" fill-opacity=".9"/>', '<use href="#Glow" x="1000" y="1000" fill-opacity=".9"/>', '<use href="#Logo" x="170" y="170" transform="scale(.6)"/>' '<use href="#Hourglass" x="150" y="90" transform="rotate(10)" transform-origin="500 500"/>', '<use href="#Progress" x="', progressXPosition.toString(), '" y="790"/>', '<use href="#Status" x="', statusXPosition.toString(), '" y="790"/>', '<use href="#Amount" x="', amountXPosition.toString(), '" y="790"/>', '<use href="#Duration" x="', durationXPosition.toString(), '" y="790"/>' ); } }
// SPDX-License-Identifier: GPL-3.0-or-later // solhint-disable max-line-length,quotes pragma solidity >=0.8.19; import { Math } from "@openzeppelin/contracts/utils/math/Math.sol"; import { Strings } from "@openzeppelin/contracts/utils/Strings.sol"; library SVGElements { using Strings for string; using Strings for uint256; /*////////////////////////////////////////////////////////////////////////// CONSTANTS //////////////////////////////////////////////////////////////////////////*/ string internal constant BACKGROUND = '<rect width="100%" height="100%" filter="url(#Noise)"/><rect x="70" y="70" width="860" height="860" fill="#fff" fill-opacity=".03" rx="45" ry="45" stroke="#fff" stroke-opacity=".1" stroke-width="4"/>'; string internal constant BACKGROUND_COLOR = "hsl(230,21%,11%)"; string internal constant FLOATING_TEXT = '<path id="FloatingText" fill="none" d="M125 45h750s80 0 80 80v750s0 80 -80 80h-750s-80 0 -80 -80v-750s0 -80 80 -80"/>'; string internal constant GLOW = '<circle id="Glow" r="500" fill="url(#RadialGlow)"/>'; string internal constant LOGO = '<path id="Logo" fill="#fff" fill-opacity=".1" d="m133.559,124.034c-.013,2.412-1.059,4.848-2.923,6.402-2.558,1.819-5.168,3.439-7.888,4.996-14.44,8.262-31.047,12.565-47.674,12.569-8.858.036-17.838-1.272-26.328-3.663-9.806-2.766-19.087-7.113-27.562-12.778-13.842-8.025,9.468-28.606,16.153-35.265h0c2.035-1.838,4.252-3.546,6.463-5.224h0c6.429-5.655,16.218-2.835,20.358,4.17,4.143,5.057,8.816,9.649,13.92,13.734h.037c5.736,6.461,15.357-2.253,9.38-8.48,0,0-3.515-3.515-3.515-3.515-11.49-11.478-52.656-52.664-64.837-64.837l.049-.037c-1.725-1.606-2.719-3.847-2.751-6.204h0c-.046-2.375,1.062-4.582,2.726-6.229h0l.185-.148h0c.099-.062,.222-.148,.37-.259h0c2.06-1.362,3.951-2.621,6.044-3.842C57.763-3.473,97.76-2.341,128.637,18.332c16.671,9.946-26.344,54.813-38.651,40.199-6.299-6.096-18.063-17.743-19.668-18.811-6.016-4.047-13.061,4.776-7.752,9.751l68.254,68.371c1.724,1.601,2.714,3.84,2.738,6.192Z"/>'; string internal constant HOURGLASS_BACKGROUND_CIRCLE = '<path d="M 50,360 a 300,300 0 1,1 600,0 a 300,300 0 1,1 -600,0" fill="#fff" fill-opacity=".02" stroke="url(#HourglassStroke)" stroke-width="4"/>'; string internal constant HOURGLASS_FILL = '<path d="m566,161.201v-53.924c0-19.382-22.513-37.563-63.398-51.198-40.756-13.592-94.946-21.079-152.587-21.079s-111.838,7.487-152.602,21.079c-40.893,13.636-63.413,31.816-63.413,51.198v53.924c0,17.181,17.704,33.427,50.223,46.394v284.809c-32.519,12.96-50.223,29.206-50.223,46.394v53.924c0,19.382,22.52,37.563,63.413,51.198,40.763,13.592,94.954,21.079,152.602,21.079s111.831-7.487,152.587-21.079c40.886-13.636,63.398-31.816,63.398-51.198v-53.924c0-17.196-17.704-33.435-50.223-46.401V207.603c32.519-12.967,50.223-29.206,50.223-46.401Zm-347.462,57.793l130.959,131.027-130.959,131.013V218.994Zm262.924.022v262.018l-130.937-131.006,130.937-131.013Z" fill="#161822"></path>'; string internal constant HOURGLASS_STROKE = '<g fill="none" stroke="url(#HourglassStroke)" stroke-linecap="round" stroke-miterlimit="10" stroke-width="4"><path d="m565.641,107.28c0,9.537-5.56,18.629-15.676,26.973h-.023c-9.204,7.596-22.194,14.562-38.197,20.592-39.504,14.936-97.325,24.355-161.733,24.355-90.48,0-167.948-18.582-199.953-44.948h-.023c-10.115-8.344-15.676-17.437-15.676-26.973,0-39.735,96.554-71.921,215.652-71.921s215.629,32.185,215.629,71.921Z"/><path d="m134.36,161.203c0,39.735,96.554,71.921,215.652,71.921s215.629-32.186,215.629-71.921"/><line x1="134.36" y1="161.203" x2="134.36" y2="107.28"/><line x1="565.64" y1="161.203" x2="565.64" y2="107.28"/><line x1="184.584" y1="206.823" x2="184.585" y2="537.579"/><line x1="218.181" y1="218.118" x2="218.181" y2="562.537"/><line x1="481.818" y1="218.142" x2="481.819" y2="562.428"/><line x1="515.415" y1="207.352" x2="515.416" y2="537.579"/><path d="m184.58,537.58c0,5.45,4.27,10.65,12.03,15.42h.02c5.51,3.39,12.79,6.55,21.55,9.42,30.21,9.9,78.02,16.28,131.83,16.28,49.41,0,93.76-5.38,124.06-13.92,2.7-.76,5.29-1.54,7.75-2.35,8.77-2.87,16.05-6.04,21.56-9.43h0c7.76-4.77,12.04-9.97,12.04-15.42"/><path d="m184.582,492.656c-31.354,12.485-50.223,28.58-50.223,46.142,0,9.536,5.564,18.627,15.677,26.969h.022c8.503,7.005,20.213,13.463,34.524,19.159,9.999,3.991,21.269,7.609,33.597,10.788,36.45,9.407,82.181,15.002,131.835,15.002s95.363-5.595,131.807-15.002c10.847-2.79,20.867-5.926,29.924-9.349,1.244-.467,2.473-.942,3.673-1.424,14.326-5.696,26.035-12.161,34.524-19.173h.022c10.114-8.342,15.677-17.433,15.677-26.969,0-17.562-18.869-33.665-50.223-46.15"/><path d="m134.36,592.72c0,39.735,96.554,71.921,215.652,71.921s215.629-32.186,215.629-71.921"/><line x1="134.36" y1="592.72" x2="134.36" y2="538.797"/><line x1="565.64" y1="592.72" x2="565.64" y2="538.797"/><polyline points="481.822 481.901 481.798 481.877 481.775 481.854 350.015 350.026 218.185 218.129"/><polyline points="218.185 481.901 218.231 481.854 350.015 350.026 481.822 218.152"/></g>'; string internal constant HOURGLASS_LOWER_BULB_LARGE = '<path d="m481.46,481.54v81.01c-2.35.77-4.82,1.51-7.39,2.23-30.3,8.54-74.65,13.92-124.06,13.92-53.6,0-101.24-6.33-131.47-16.16v-81l46.3-46.31h170.33l46.29,46.31Z" fill="url(#SandBottom)"/><path d="m435.17,435.23c0,1.17-.46,2.32-1.33,3.44-7.11,9.08-41.93,15.98-83.81,15.98s-76.7-6.9-83.82-15.98c-.87-1.12-1.33-2.27-1.33-3.44v-.04l8.34-8.35.01-.01c13.72-6.51,42.95-11.02,76.8-11.02s62.97,4.49,76.72,11l8.42,8.42Z" fill="url(#SandTop)"/>'; string internal constant HOURGLASS_LOWER_BULB_SMALL = '<path d="m481.46,504.101v58.449c-2.35.77-4.82,1.51-7.39,2.23-30.3,8.54-74.65,13.92-124.06,13.92-53.6,0-101.24-6.33-131.47-16.16v-58.439h262.92Z" fill="url(#SandBottom)"/><ellipse cx="350" cy="504.101" rx="131.462" ry="28.108" fill="url(#SandTop)"/>'; string internal constant HOURGLASS_UPPER_BULB = '<polygon points="350 350.026 415.03 284.978 285 284.978 350 350.026" fill="url(#SandBottom)"/><path d="m416.341,281.975c0,.914-.354,1.809-1.035,2.68-5.542,7.076-32.661,12.45-65.28,12.45-32.624,0-59.738-5.374-65.28-12.45-.681-.872-1.035-1.767-1.035-2.68,0-.914.354-1.808,1.035-2.676,5.542-7.076,32.656-12.45,65.28-12.45,32.619,0,59.738,5.374,65.28,12.45.681.867,1.035,1.762,1.035,2.676Z" fill="url(#SandTop)"/>'; string internal constant NOISE = '<filter id="Noise"><feFlood x="0" y="0" width="100%" height="100%" flood-color="hsl(230,21%,11%)" flood-opacity="1" result="floodFill"/><feTurbulence baseFrequency=".4" numOctaves="3" result="Noise" type="fractalNoise"/><feBlend in="Noise" in2="floodFill" mode="soft-light"/></filter>'; /// @dev Escape character for "≥". string internal constant SIGN_GE = "≥"; /// @dev Escape character for ">". string internal constant SIGN_GT = ">"; /// @dev Escape character for "<". string internal constant SIGN_LT = "<"; /*////////////////////////////////////////////////////////////////////////// DATA TYPES //////////////////////////////////////////////////////////////////////////*/ enum CardType { PROGRESS, STATUS, AMOUNT, DURATION } /*////////////////////////////////////////////////////////////////////////// COMPONENTS //////////////////////////////////////////////////////////////////////////*/ function card(CardType cardType, string memory content) internal pure returns (uint256, string memory) { return card({ cardType: cardType, content: content, circle: "" }); } function card( CardType cardType, string memory content, string memory circle ) internal pure returns (uint256 width, string memory card_) { string memory caption = stringifyCardType(cardType); // The progress card can have a fixed width because the content is never longer than the caption. The former // has 6 characters (at most, e.g. "42.09%"), whereas the latter has 8 characters ("Progress"). if (cardType == CardType.PROGRESS) { // The progress can be 0%, in which case the circle is not rendered. if (circle.equal("")) { width = 144; // 2 * 20 (margins) + 8 * 13 (charWidth) } else { width = 208; // 3 * 20 (margins) + 8 * 13 (charWidth) + 44 (diameter) } } // For the other cards, the width is calculated dynamically based on the number of characters. else { uint256 captionWidth = calculatePixelWidth({ text: caption, largeFont: false }); uint256 contentWidth = calculatePixelWidth({ text: content, largeFont: true }); // Use the greater of the two widths, and add the left and the right margin. unchecked { width = Math.max(captionWidth, contentWidth) + 40; } } card_ = string.concat( '<g id="', caption, '" fill="#fff">', '<rect width="', width.toString(), '" height="100" fill-opacity=".03" rx="15" ry="15" stroke="#fff" stroke-opacity=".1" stroke-width="4"/>', '<text x="20" y="34" font-family="\'Courier New\',Arial,monospace" font-size="22px">', caption, "</text>", '<text x="20" y="72" font-family="\'Courier New\',Arial,monospace" font-size="26px">', content, "</text>", circle, "</g>" ); } function floatingText(string memory offset, string memory text) internal pure returns (string memory) { return string.concat( '<textPath startOffset="', offset, '" href="#FloatingText" fill="#fff" font-family="\'Courier New\',Arial,monospace" fill-opacity=".8" font-size="26px">', '<animate additive="sum" attributeName="startOffset" begin="0s" dur="50s" from="0%" repeatCount="indefinite" to="100%"/>', text, "</textPath>" ); } function gradients(string memory accentColor) internal pure returns (string memory) { string memory radialGlow = string.concat( '<radialGradient id="RadialGlow">', '<stop offset="0%" stop-color="', accentColor, '" stop-opacity=".6"/>', '<stop offset="100%" stop-color="', BACKGROUND_COLOR, '" stop-opacity="0"/>', "</radialGradient>" ); string memory sandTop = string.concat( '<linearGradient id="SandTop" x1="0%" y1="0%">', '<stop offset="0%" stop-color="', accentColor, '"/>', '<stop offset="100%" stop-color="', BACKGROUND_COLOR, '"/>', "</linearGradient>" ); string memory sandBottom = string.concat( '<linearGradient id="SandBottom" x1="100%" y1="100%">', '<stop offset="10%" stop-color="', BACKGROUND_COLOR, '"/>', '<stop offset="100%" stop-color="', accentColor, '"/>', '<animate attributeName="x1" dur="6s" repeatCount="indefinite" values="30%;60%;120%;60%;30%;"/>', "</linearGradient>" ); // Needs to be declared last so that the stroke is painted on top of the sand. string memory hourglassStroke = string.concat( '<linearGradient id="HourglassStroke" gradientTransform="rotate(90)" gradientUnits="userSpaceOnUse">', '<stop offset="50%" stop-color="', accentColor, '"/>', '<stop offset="80%" stop-color="', BACKGROUND_COLOR, '"/>', "</linearGradient>" ); return string.concat(radialGlow, sandTop, sandBottom, hourglassStroke); } function hourglass(string memory status) internal pure returns (string memory) { bool settledOrDepleted = status.equal("Settled") || status.equal("Depleted"); return string.concat( '<g id="Hourglass">', HOURGLASS_BACKGROUND_CIRCLE, HOURGLASS_FILL, settledOrDepleted ? "" : HOURGLASS_UPPER_BULB, // empty or filled settledOrDepleted ? HOURGLASS_LOWER_BULB_LARGE : HOURGLASS_LOWER_BULB_SMALL, HOURGLASS_STROKE, // needs to be declared last so that the stroke is painted on top of the sand "</g>" ); } function progressCircle( uint256 progressNumerical, string memory accentColor ) internal pure returns (string memory) { if (progressNumerical == 0) { return ""; } return string.concat( '<g fill="none">', '<circle cx="166" cy="50" r="22" stroke="', BACKGROUND_COLOR, '" stroke-width="10"/>', '<circle cx="166" cy="50" pathLength="10000" r="22" stroke="', accentColor, '" stroke-dasharray="10000" stroke-dashoffset="', (10_000 - progressNumerical).toString(), '" stroke-linecap="round" stroke-width="5" transform="rotate(-90)" transform-origin="166 50"/>', "</g>" ); } /*////////////////////////////////////////////////////////////////////////// HELPERS //////////////////////////////////////////////////////////////////////////*/ /// @notice Calculates the pixel width of the provided string. /// @dev Notes: /// - A factor of ~0.6 is applied to the two font sizes used in the SVG (26px and 22px) to approximate the average /// character width. /// - It is assumed that escaped characters are placed at the beginning of `text`. /// - It is further assumed that there is no other semicolon in `text`. function calculatePixelWidth(string memory text, bool largeFont) internal pure returns (uint256 width) { uint256 length = bytes(text).length; if (length == 0) { return 0; } unchecked { uint256 charWidth = largeFont ? 16 : 13; uint256 semicolonIndex; for (uint256 i = 0; i < length;) { if (bytes(text)[i] == ";") { semicolonIndex = i; } width += charWidth; i += 1; } // Account for escaped characters (such as ≥). width -= charWidth * semicolonIndex; } } /// @notice Retrieves the card type as a string. function stringifyCardType(CardType cardType) internal pure returns (string memory) { if (cardType == CardType.PROGRESS) { return "Progress"; } else if (cardType == CardType.STATUS) { return "Status"; } else if (cardType == CardType.AMOUNT) { return "Amount"; } else { return "Duration"; } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC20/IERC20.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC20 standard as defined in the EIP. */ interface IERC20 { /** * @dev Emitted when `value` tokens are moved from one account (`from`) to * another (`to`). * * Note that `value` may be zero. */ event Transfer(address indexed from, address indexed to, uint256 value); /** * @dev Emitted when the allowance of a `spender` for an `owner` is set by * a call to {approve}. `value` is the new allowance. */ event Approval(address indexed owner, address indexed spender, uint256 value); /** * @dev Returns the amount of tokens in existence. */ function totalSupply() external view returns (uint256); /** * @dev Returns the amount of tokens owned by `account`. */ function balanceOf(address account) external view returns (uint256); /** * @dev Moves `amount` tokens from the caller's account to `to`. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transfer(address to, uint256 amount) external returns (bool); /** * @dev Returns the remaining number of tokens that `spender` will be * allowed to spend on behalf of `owner` through {transferFrom}. This is * zero by default. * * This value changes when {approve} or {transferFrom} are called. */ function allowance(address owner, address spender) external view returns (uint256); /** * @dev Sets `amount` as the allowance of `spender` over the caller's tokens. * * Returns a boolean value indicating whether the operation succeeded. * * IMPORTANT: Beware that changing an allowance with this method brings the risk * that someone may use both the old and the new allowance by unfortunate * transaction ordering. One possible solution to mitigate this race * condition is to first reduce the spender's allowance to 0 and set the * desired value afterwards: * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729 * * Emits an {Approval} event. */ function approve(address spender, uint256 amount) external returns (bool); /** * @dev Moves `amount` tokens from `from` to `to` using the * allowance mechanism. `amount` is then deducted from the caller's * allowance. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transferFrom(address from, address to, uint256 amount) external returns (bool); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (token/ERC721/IERC721.sol) pragma solidity ^0.8.0; import "../../utils/introspection/IERC165.sol"; /** * @dev Required interface of an ERC721 compliant contract. */ interface IERC721 is IERC165 { /** * @dev Emitted when `tokenId` token is transferred from `from` to `to`. */ event Transfer(address indexed from, address indexed to, uint256 indexed tokenId); /** * @dev Emitted when `owner` enables `approved` to manage the `tokenId` token. */ event Approval(address indexed owner, address indexed approved, uint256 indexed tokenId); /** * @dev Emitted when `owner` enables or disables (`approved`) `operator` to manage all of its assets. */ event ApprovalForAll(address indexed owner, address indexed operator, bool approved); /** * @dev Returns the number of tokens in ``owner``'s account. */ function balanceOf(address owner) external view returns (uint256 balance); /** * @dev Returns the owner of the `tokenId` token. * * Requirements: * * - `tokenId` must exist. */ function ownerOf(uint256 tokenId) external view returns (address owner); /** * @dev Safely transfers `tokenId` token from `from` to `to`. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must exist and be owned by `from`. * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}. * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer. * * Emits a {Transfer} event. */ function safeTransferFrom(address from, address to, uint256 tokenId, bytes calldata data) external; /** * @dev Safely transfers `tokenId` token from `from` to `to`, checking first that contract recipients * are aware of the ERC721 protocol to prevent tokens from being forever locked. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must exist and be owned by `from`. * - If the caller is not `from`, it must have been allowed to move this token by either {approve} or {setApprovalForAll}. * - If `to` refers to a smart contract, it must implement {IERC721Receiver-onERC721Received}, which is called upon a safe transfer. * * Emits a {Transfer} event. */ function safeTransferFrom(address from, address to, uint256 tokenId) external; /** * @dev Transfers `tokenId` token from `from` to `to`. * * WARNING: Note that the caller is responsible to confirm that the recipient is capable of receiving ERC721 * or else they may be permanently lost. Usage of {safeTransferFrom} prevents loss, though the caller must * understand this adds an external call which potentially creates a reentrancy vulnerability. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `tokenId` token must be owned by `from`. * - If the caller is not `from`, it must be approved to move this token by either {approve} or {setApprovalForAll}. * * Emits a {Transfer} event. */ function transferFrom(address from, address to, uint256 tokenId) external; /** * @dev Gives permission to `to` to transfer `tokenId` token to another account. * The approval is cleared when the token is transferred. * * Only a single account can be approved at a time, so approving the zero address clears previous approvals. * * Requirements: * * - The caller must own the token or be an approved operator. * - `tokenId` must exist. * * Emits an {Approval} event. */ function approve(address to, uint256 tokenId) external; /** * @dev Approve or remove `operator` as an operator for the caller. * Operators can call {transferFrom} or {safeTransferFrom} for any token owned by the caller. * * Requirements: * * - The `operator` cannot be the caller. * * Emits an {ApprovalForAll} event. */ function setApprovalForAll(address operator, bool approved) external; /** * @dev Returns the account approved for `tokenId` token. * * Requirements: * * - `tokenId` must exist. */ function getApproved(uint256 tokenId) external view returns (address operator); /** * @dev Returns if the `operator` is allowed to manage all of the assets of `owner`. * * See {setApprovalForAll} */ function isApprovedForAll(address owner, address operator) external view returns (bool); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol) pragma solidity ^0.8.0; /** * @dev Standard math utilities missing in the Solidity language. */ library Math { enum Rounding { Down, // Toward negative infinity Up, // Toward infinity Zero // Toward zero } /** * @dev Returns the largest of two numbers. */ function max(uint256 a, uint256 b) internal pure returns (uint256) { return a > b ? a : b; } /** * @dev Returns the smallest of two numbers. */ function min(uint256 a, uint256 b) internal pure returns (uint256) { return a < b ? a : b; } /** * @dev Returns the average of two numbers. The result is rounded towards * zero. */ function average(uint256 a, uint256 b) internal pure returns (uint256) { // (a + b) / 2 can overflow. return (a & b) + (a ^ b) / 2; } /** * @dev Returns the ceiling of the division of two numbers. * * This differs from standard division with `/` in that it rounds up instead * of rounding down. */ function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) { // (a + b - 1) / b can overflow on addition, so we distribute. return a == 0 ? 0 : (a - 1) / b + 1; } /** * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0 * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv) * with further edits by Uniswap Labs also under MIT license. */ function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) { unchecked { // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256 // variables such that product = prod1 * 2^256 + prod0. uint256 prod0; // Least significant 256 bits of the product uint256 prod1; // Most significant 256 bits of the product assembly { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } // Handle non-overflow cases, 256 by 256 division. if (prod1 == 0) { // Solidity will revert if denominator == 0, unlike the div opcode on its own. // The surrounding unchecked block does not change this fact. // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic. return prod0 / denominator; } // Make sure the result is less than 2^256. Also prevents denominator == 0. require(denominator > prod1, "Math: mulDiv overflow"); /////////////////////////////////////////////// // 512 by 256 division. /////////////////////////////////////////////// // Make division exact by subtracting the remainder from [prod1 prod0]. uint256 remainder; assembly { // Compute remainder using mulmod. remainder := mulmod(x, y, denominator) // Subtract 256 bit number from 512 bit number. prod1 := sub(prod1, gt(remainder, prod0)) prod0 := sub(prod0, remainder) } // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1. // See https://cs.stackexchange.com/q/138556/92363. // Does not overflow because the denominator cannot be zero at this stage in the function. uint256 twos = denominator & (~denominator + 1); assembly { // Divide denominator by twos. denominator := div(denominator, twos) // Divide [prod1 prod0] by twos. prod0 := div(prod0, twos) // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one. twos := add(div(sub(0, twos), twos), 1) } // Shift in bits from prod1 into prod0. prod0 |= prod1 * twos; // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for // four bits. That is, denominator * inv = 1 mod 2^4. uint256 inverse = (3 * denominator) ^ 2; // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works // in modular arithmetic, doubling the correct bits in each step. inverse *= 2 - denominator * inverse; // inverse mod 2^8 inverse *= 2 - denominator * inverse; // inverse mod 2^16 inverse *= 2 - denominator * inverse; // inverse mod 2^32 inverse *= 2 - denominator * inverse; // inverse mod 2^64 inverse *= 2 - denominator * inverse; // inverse mod 2^128 inverse *= 2 - denominator * inverse; // inverse mod 2^256 // Because the division is now exact we can divide by multiplying with the modular inverse of denominator. // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 // is no longer required. result = prod0 * inverse; return result; } } /** * @notice Calculates x * y / denominator with full precision, following the selected rounding direction. */ function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) { uint256 result = mulDiv(x, y, denominator); if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) { result += 1; } return result; } /** * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down. * * Inspired by Henry S. Warren, Jr.'s "Hacker's Delight" (Chapter 11). */ function sqrt(uint256 a) internal pure returns (uint256) { if (a == 0) { return 0; } // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target. // // We know that the "msb" (most significant bit) of our target number `a` is a power of 2 such that we have // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`. // // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)` // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))` // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)` // // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit. uint256 result = 1 << (log2(a) >> 1); // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128, // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision // into the expected uint128 result. unchecked { result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; result = (result + a / result) >> 1; return min(result, a / result); } } /** * @notice Calculates sqrt(a), following the selected rounding direction. */ function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = sqrt(a); return result + (rounding == Rounding.Up && result * result < a ? 1 : 0); } } /** * @dev Return the log in base 2, rounded down, of a positive value. * Returns 0 if given 0. */ function log2(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >> 128 > 0) { value >>= 128; result += 128; } if (value >> 64 > 0) { value >>= 64; result += 64; } if (value >> 32 > 0) { value >>= 32; result += 32; } if (value >> 16 > 0) { value >>= 16; result += 16; } if (value >> 8 > 0) { value >>= 8; result += 8; } if (value >> 4 > 0) { value >>= 4; result += 4; } if (value >> 2 > 0) { value >>= 2; result += 2; } if (value >> 1 > 0) { result += 1; } } return result; } /** * @dev Return the log in base 2, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log2(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log2(value); return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0); } } /** * @dev Return the log in base 10, rounded down, of a positive value. * Returns 0 if given 0. */ function log10(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >= 10 ** 64) { value /= 10 ** 64; result += 64; } if (value >= 10 ** 32) { value /= 10 ** 32; result += 32; } if (value >= 10 ** 16) { value /= 10 ** 16; result += 16; } if (value >= 10 ** 8) { value /= 10 ** 8; result += 8; } if (value >= 10 ** 4) { value /= 10 ** 4; result += 4; } if (value >= 10 ** 2) { value /= 10 ** 2; result += 2; } if (value >= 10 ** 1) { result += 1; } } return result; } /** * @dev Return the log in base 10, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log10(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log10(value); return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0); } } /** * @dev Return the log in base 256, rounded down, of a positive value. * Returns 0 if given 0. * * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string. */ function log256(uint256 value) internal pure returns (uint256) { uint256 result = 0; unchecked { if (value >> 128 > 0) { value >>= 128; result += 16; } if (value >> 64 > 0) { value >>= 64; result += 8; } if (value >> 32 > 0) { value >>= 32; result += 4; } if (value >> 16 > 0) { value >>= 16; result += 2; } if (value >> 8 > 0) { result += 1; } } return result; } /** * @dev Return the log in base 256, following the selected rounding direction, of a positive value. * Returns 0 if given 0. */ function log256(uint256 value, Rounding rounding) internal pure returns (uint256) { unchecked { uint256 result = log256(value); return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0); } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.8.0) (utils/math/SignedMath.sol) pragma solidity ^0.8.0; /** * @dev Standard signed math utilities missing in the Solidity language. */ library SignedMath { /** * @dev Returns the largest of two signed numbers. */ function max(int256 a, int256 b) internal pure returns (int256) { return a > b ? a : b; } /** * @dev Returns the smallest of two signed numbers. */ function min(int256 a, int256 b) internal pure returns (int256) { return a < b ? a : b; } /** * @dev Returns the average of two signed numbers without overflow. * The result is rounded towards zero. */ function average(int256 a, int256 b) internal pure returns (int256) { // Formula from the book "Hacker's Delight" int256 x = (a & b) + ((a ^ b) >> 1); return x + (int256(uint256(x) >> 255) & (a ^ b)); } /** * @dev Returns the absolute unsigned value of a signed value. */ function abs(int256 n) internal pure returns (uint256) { unchecked { // must be unchecked in order to support `n = type(int256).min` return uint256(n >= 0 ? n : -n); } } }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol"; import { UD60x18 } from "@prb/math/src/UD60x18.sol"; import { IAdminable } from "./IAdminable.sol"; import { ISablierV2Comptroller } from "./ISablierV2Comptroller.sol"; /// @title ISablierV2Base /// @notice Base logic for all Sablier V2 streaming contracts. interface ISablierV2Base is IAdminable { /*////////////////////////////////////////////////////////////////////////// EVENTS //////////////////////////////////////////////////////////////////////////*/ /// @notice Emitted when the admin claims all protocol revenues accrued for a particular ERC-20 asset. /// @param admin The address of the contract admin. /// @param asset The contract address of the ERC-20 asset the protocol revenues have been claimed for. /// @param protocolRevenues The amount of protocol revenues claimed, denoted in units of the asset's decimals. event ClaimProtocolRevenues(address indexed admin, IERC20 indexed asset, uint128 protocolRevenues); /// @notice Emitted when the admin sets a new comptroller contract. /// @param admin The address of the contract admin. /// @param oldComptroller The address of the old comptroller contract. /// @param newComptroller The address of the new comptroller contract. event SetComptroller( address indexed admin, ISablierV2Comptroller oldComptroller, ISablierV2Comptroller newComptroller ); /*////////////////////////////////////////////////////////////////////////// CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Retrieves the maximum fee that can be charged by the protocol or a broker, denoted as a fixed-point /// number where 1e18 is 100%. /// @dev This value is hard coded as a constant. function MAX_FEE() external view returns (UD60x18); /// @notice Retrieves the address of the comptroller contract, responsible for the Sablier V2 protocol /// configuration. function comptroller() external view returns (ISablierV2Comptroller); /// @notice Retrieves the protocol revenues accrued for the provided ERC-20 asset, in units of the asset's /// decimals. /// @param asset The contract address of the ERC-20 asset to query. function protocolRevenues(IERC20 asset) external view returns (uint128 revenues); /*////////////////////////////////////////////////////////////////////////// NON-CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Claims all accumulated protocol revenues for the provided ERC-20 asset. /// /// @dev Emits a {ClaimProtocolRevenues} event. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param asset The contract address of the ERC-20 asset for which to claim protocol revenues. function claimProtocolRevenues(IERC20 asset) external; /// @notice Assigns a new comptroller contract responsible for the protocol configuration. /// /// @dev Emits a {SetComptroller} event. /// /// Notes: /// - Does not revert if the comptroller is the same. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param newComptroller The address of the new comptroller contract. function setComptroller(ISablierV2Comptroller newComptroller) external; }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; /* ██████╗ ██████╗ ██████╗ ███╗ ███╗ █████╗ ████████╗██╗ ██╗ ██╔══██╗██╔══██╗██╔══██╗████╗ ████║██╔══██╗╚══██╔══╝██║ ██║ ██████╔╝██████╔╝██████╔╝██╔████╔██║███████║ ██║ ███████║ ██╔═══╝ ██╔══██╗██╔══██╗██║╚██╔╝██║██╔══██║ ██║ ██╔══██║ ██║ ██║ ██║██████╔╝██║ ╚═╝ ██║██║ ██║ ██║ ██║ ██║ ╚═╝ ╚═╝ ╚═╝╚═════╝ ╚═╝ ╚═╝╚═╝ ╚═╝ ╚═╝ ╚═╝ ╚═╝ ██╗ ██╗██████╗ ██████╗ ██╗ ██╗ ██╗ █████╗ ██║ ██║██╔══██╗╚════██╗╚██╗██╔╝███║██╔══██╗ ██║ ██║██║ ██║ █████╔╝ ╚███╔╝ ╚██║╚█████╔╝ ██║ ██║██║ ██║██╔═══╝ ██╔██╗ ██║██╔══██╗ ╚██████╔╝██████╔╝███████╗██╔╝ ██╗ ██║╚█████╔╝ ╚═════╝ ╚═════╝ ╚══════╝╚═╝ ╚═╝ ╚═╝ ╚════╝ */ import "./ud2x18/Casting.sol"; import "./ud2x18/Constants.sol"; import "./ud2x18/Errors.sol"; import "./ud2x18/ValueType.sol";
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; /* ██████╗ ██████╗ ██████╗ ███╗ ███╗ █████╗ ████████╗██╗ ██╗ ██╔══██╗██╔══██╗██╔══██╗████╗ ████║██╔══██╗╚══██╔══╝██║ ██║ ██████╔╝██████╔╝██████╔╝██╔████╔██║███████║ ██║ ███████║ ██╔═══╝ ██╔══██╗██╔══██╗██║╚██╔╝██║██╔══██║ ██║ ██╔══██║ ██║ ██║ ██║██████╔╝██║ ╚═╝ ██║██║ ██║ ██║ ██║ ██║ ╚═╝ ╚═╝ ╚═╝╚═════╝ ╚═╝ ╚═╝╚═╝ ╚═╝ ╚═╝ ╚═╝ ╚═╝ ██╗ ██╗██████╗ ██████╗ ██████╗ ██╗ ██╗ ██╗ █████╗ ██║ ██║██╔══██╗██╔════╝ ██╔═████╗╚██╗██╔╝███║██╔══██╗ ██║ ██║██║ ██║███████╗ ██║██╔██║ ╚███╔╝ ╚██║╚█████╔╝ ██║ ██║██║ ██║██╔═══██╗████╔╝██║ ██╔██╗ ██║██╔══██╗ ╚██████╔╝██████╔╝╚██████╔╝╚██████╔╝██╔╝ ██╗ ██║╚█████╔╝ ╚═════╝ ╚═════╝ ╚═════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚════╝ */ import "./ud60x18/Casting.sol"; import "./ud60x18/Constants.sol"; import "./ud60x18/Conversions.sol"; import "./ud60x18/Errors.sol"; import "./ud60x18/Helpers.sol"; import "./ud60x18/Math.sol"; import "./ud60x18/ValueType.sol";
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (utils/introspection/IERC165.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC165 standard, as defined in the * https://eips.ethereum.org/EIPS/eip-165[EIP]. * * Implementers can declare support of contract interfaces, which can then be * queried by others ({ERC165Checker}). * * For an implementation, see {ERC165}. */ interface IERC165 { /** * @dev Returns true if this contract implements the interface defined by * `interfaceId`. See the corresponding * https://eips.ethereum.org/EIPS/eip-165#how-interfaces-are-identified[EIP section] * to learn more about how these ids are created. * * This function call must use less than 30 000 gas. */ function supportsInterface(bytes4 interfaceId) external view returns (bool); }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; /// @title IAdminable /// @notice Contract module that provides a basic access control mechanism, with an admin that can be /// granted exclusive access to specific functions. The inheriting contract must set the initial admin /// in the constructor. interface IAdminable { /*////////////////////////////////////////////////////////////////////////// EVENTS //////////////////////////////////////////////////////////////////////////*/ /// @notice Emitted when the admin is transferred. /// @param oldAdmin The address of the old admin. /// @param newAdmin The address of the new admin. event TransferAdmin(address indexed oldAdmin, address indexed newAdmin); /*////////////////////////////////////////////////////////////////////////// CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice The address of the admin account or contract. function admin() external view returns (address); /*////////////////////////////////////////////////////////////////////////// NON-CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Transfers the contract admin to a new address. /// /// @dev Notes: /// - Does not revert if the admin is the same. /// - This function can potentially leave the contract without an admin, thereby removing any /// functionality that is only available to the admin. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param newAdmin The address of the new admin. function transferAdmin(address newAdmin) external; }
// SPDX-License-Identifier: GPL-3.0-or-later pragma solidity >=0.8.19; import { IERC20 } from "@openzeppelin/contracts/token/ERC20/IERC20.sol"; import { UD60x18 } from "@prb/math/src/UD60x18.sol"; import { IAdminable } from "./IAdminable.sol"; /// @title ISablierV2Controller /// @notice This contract is in charge of the Sablier V2 protocol configuration, handling such values as the /// protocol fees. interface ISablierV2Comptroller is IAdminable { /*////////////////////////////////////////////////////////////////////////// EVENTS //////////////////////////////////////////////////////////////////////////*/ /// @notice Emitted when the admin sets a new flash fee. /// @param admin The address of the contract admin. /// @param oldFlashFee The old flash fee, denoted as a fixed-point number. /// @param newFlashFee The new flash fee, denoted as a fixed-point number. event SetFlashFee(address indexed admin, UD60x18 oldFlashFee, UD60x18 newFlashFee); /// @notice Emitted when the admin sets a new protocol fee for the provided ERC-20 asset. /// @param admin The address of the contract admin. /// @param asset The contract address of the ERC-20 asset the new protocol fee has been set for. /// @param oldProtocolFee The old protocol fee, denoted as a fixed-point number. /// @param newProtocolFee The new protocol fee, denoted as a fixed-point number. event SetProtocolFee(address indexed admin, IERC20 indexed asset, UD60x18 oldProtocolFee, UD60x18 newProtocolFee); /// @notice Emitted when the admin enables or disables an ERC-20 asset for flash loaning. /// @param admin The address of the contract admin. /// @param asset The contract address of the ERC-20 asset to toggle. /// @param newFlag Whether the ERC-20 asset can be flash loaned. event ToggleFlashAsset(address indexed admin, IERC20 indexed asset, bool newFlag); /*////////////////////////////////////////////////////////////////////////// CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Retrieves the global flash fee, denoted as a fixed-point number where 1e18 is 100%. /// /// @dev Notes: /// - This fee represents a percentage, not an amount. Do not confuse it with {IERC3156FlashLender.flashFee}, /// which calculates the fee amount for a specified flash loan amount. /// - Unlike the protocol fee, this is a global fee applied to all flash loans, not a per-asset fee. function flashFee() external view returns (UD60x18 fee); /// @notice Retrieves a flag indicating whether the provided ERC-20 asset can be flash loaned. /// @param token The contract address of the ERC-20 asset to check. function isFlashAsset(IERC20 token) external view returns (bool result); /// @notice Retrieves the protocol fee for all streams created with the provided ERC-20 asset. /// @param asset The contract address of the ERC-20 asset to query. /// @return fee The protocol fee denoted as a fixed-point number where 1e18 is 100%. function protocolFees(IERC20 asset) external view returns (UD60x18 fee); /*////////////////////////////////////////////////////////////////////////// NON-CONSTANT FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Updates the flash fee charged on all flash loans made with any ERC-20 asset. /// /// @dev Emits a {SetFlashFee} event. /// /// Notes: /// - Does not revert if the fee is the same. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param newFlashFee The new flash fee to set, denoted as a fixed-point number where 1e18 is 100%. function setFlashFee(UD60x18 newFlashFee) external; /// @notice Sets a new protocol fee that will be charged on all streams created with the provided ERC-20 asset. /// /// @dev Emits a {SetProtocolFee} event. /// /// Notes: /// - The fee is not denoted in units of the asset's decimals; it is a fixed-point number. Refer to the /// PRBMath documentation for more detail on the logic of UD60x18. /// - Does not revert if the fee is the same. /// /// Requirements: /// - `msg.sender` must be the contract admin. /// /// @param asset The contract address of the ERC-20 asset to update the fee for. /// @param newProtocolFee The new protocol fee, denoted as a fixed-point number where 1e18 is 100%. function setProtocolFee(IERC20 asset, UD60x18 newProtocolFee) external; /// @notice Toggles the flash loanability of an ERC-20 asset. /// /// @dev Emits a {ToggleFlashAsset} event. /// /// Requirements: /// - `msg.sender` must be the admin. /// /// @param asset The address of the ERC-20 asset to toggle. function toggleFlashAsset(IERC20 asset) external; }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "../Common.sol" as Common; import "./Errors.sol" as Errors; import { uMAX_SD1x18 } from "../sd1x18/Constants.sol"; import { SD1x18 } from "../sd1x18/ValueType.sol"; import { SD59x18 } from "../sd59x18/ValueType.sol"; import { UD60x18 } from "../ud60x18/ValueType.sol"; import { UD2x18 } from "./ValueType.sol"; /// @notice Casts a UD2x18 number into SD1x18. /// - x must be less than or equal to `uMAX_SD1x18`. function intoSD1x18(UD2x18 x) pure returns (SD1x18 result) { uint64 xUint = UD2x18.unwrap(x); if (xUint > uint64(uMAX_SD1x18)) { revert Errors.PRBMath_UD2x18_IntoSD1x18_Overflow(x); } result = SD1x18.wrap(int64(xUint)); } /// @notice Casts a UD2x18 number into SD59x18. /// @dev There is no overflow check because the domain of UD2x18 is a subset of SD59x18. function intoSD59x18(UD2x18 x) pure returns (SD59x18 result) { result = SD59x18.wrap(int256(uint256(UD2x18.unwrap(x)))); } /// @notice Casts a UD2x18 number into UD60x18. /// @dev There is no overflow check because the domain of UD2x18 is a subset of UD60x18. function intoUD60x18(UD2x18 x) pure returns (UD60x18 result) { result = UD60x18.wrap(UD2x18.unwrap(x)); } /// @notice Casts a UD2x18 number into uint128. /// @dev There is no overflow check because the domain of UD2x18 is a subset of uint128. function intoUint128(UD2x18 x) pure returns (uint128 result) { result = uint128(UD2x18.unwrap(x)); } /// @notice Casts a UD2x18 number into uint256. /// @dev There is no overflow check because the domain of UD2x18 is a subset of uint256. function intoUint256(UD2x18 x) pure returns (uint256 result) { result = uint256(UD2x18.unwrap(x)); } /// @notice Casts a UD2x18 number into uint40. /// @dev Requirements: /// - x must be less than or equal to `MAX_UINT40`. function intoUint40(UD2x18 x) pure returns (uint40 result) { uint64 xUint = UD2x18.unwrap(x); if (xUint > uint64(Common.MAX_UINT40)) { revert Errors.PRBMath_UD2x18_IntoUint40_Overflow(x); } result = uint40(xUint); } /// @notice Alias for {wrap}. function ud2x18(uint64 x) pure returns (UD2x18 result) { result = UD2x18.wrap(x); } /// @notice Unwrap a UD2x18 number into uint64. function unwrap(UD2x18 x) pure returns (uint64 result) { result = UD2x18.unwrap(x); } /// @notice Wraps a uint64 number into UD2x18. function wrap(uint64 x) pure returns (UD2x18 result) { result = UD2x18.wrap(x); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { UD2x18 } from "./ValueType.sol"; /// @dev Euler's number as a UD2x18 number. UD2x18 constant E = UD2x18.wrap(2_718281828459045235); /// @dev The maximum value a UD2x18 number can have. uint64 constant uMAX_UD2x18 = 18_446744073709551615; UD2x18 constant MAX_UD2x18 = UD2x18.wrap(uMAX_UD2x18); /// @dev PI as a UD2x18 number. UD2x18 constant PI = UD2x18.wrap(3_141592653589793238); /// @dev The unit number, which gives the decimal precision of UD2x18. uint256 constant uUNIT = 1e18; UD2x18 constant UNIT = UD2x18.wrap(1e18);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { UD2x18 } from "./ValueType.sol"; /// @notice Thrown when trying to cast a UD2x18 number that doesn't fit in SD1x18. error PRBMath_UD2x18_IntoSD1x18_Overflow(UD2x18 x); /// @notice Thrown when trying to cast a UD2x18 number that doesn't fit in uint40. error PRBMath_UD2x18_IntoUint40_Overflow(UD2x18 x);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Casting.sol" as Casting; /// @notice The unsigned 2.18-decimal fixed-point number representation, which can have up to 2 digits and up to 18 /// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity /// type uint64. This is useful when end users want to use uint64 to save gas, e.g. with tight variable packing in contract /// storage. type UD2x18 is uint64; /*////////////////////////////////////////////////////////////////////////// CASTING //////////////////////////////////////////////////////////////////////////*/ using { Casting.intoSD1x18, Casting.intoSD59x18, Casting.intoUD60x18, Casting.intoUint256, Casting.intoUint128, Casting.intoUint40, Casting.unwrap } for UD2x18 global;
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Errors.sol" as CastingErrors; import { MAX_UINT128, MAX_UINT40 } from "../Common.sol"; import { uMAX_SD1x18 } from "../sd1x18/Constants.sol"; import { SD1x18 } from "../sd1x18/ValueType.sol"; import { uMAX_SD59x18 } from "../sd59x18/Constants.sol"; import { SD59x18 } from "../sd59x18/ValueType.sol"; import { uMAX_UD2x18 } from "../ud2x18/Constants.sol"; import { UD2x18 } from "../ud2x18/ValueType.sol"; import { UD60x18 } from "./ValueType.sol"; /// @notice Casts a UD60x18 number into SD1x18. /// @dev Requirements: /// - x must be less than or equal to `uMAX_SD1x18`. function intoSD1x18(UD60x18 x) pure returns (SD1x18 result) { uint256 xUint = UD60x18.unwrap(x); if (xUint > uint256(int256(uMAX_SD1x18))) { revert CastingErrors.PRBMath_UD60x18_IntoSD1x18_Overflow(x); } result = SD1x18.wrap(int64(uint64(xUint))); } /// @notice Casts a UD60x18 number into UD2x18. /// @dev Requirements: /// - x must be less than or equal to `uMAX_UD2x18`. function intoUD2x18(UD60x18 x) pure returns (UD2x18 result) { uint256 xUint = UD60x18.unwrap(x); if (xUint > uMAX_UD2x18) { revert CastingErrors.PRBMath_UD60x18_IntoUD2x18_Overflow(x); } result = UD2x18.wrap(uint64(xUint)); } /// @notice Casts a UD60x18 number into SD59x18. /// @dev Requirements: /// - x must be less than or equal to `uMAX_SD59x18`. function intoSD59x18(UD60x18 x) pure returns (SD59x18 result) { uint256 xUint = UD60x18.unwrap(x); if (xUint > uint256(uMAX_SD59x18)) { revert CastingErrors.PRBMath_UD60x18_IntoSD59x18_Overflow(x); } result = SD59x18.wrap(int256(xUint)); } /// @notice Casts a UD60x18 number into uint128. /// @dev This is basically an alias for {unwrap}. function intoUint256(UD60x18 x) pure returns (uint256 result) { result = UD60x18.unwrap(x); } /// @notice Casts a UD60x18 number into uint128. /// @dev Requirements: /// - x must be less than or equal to `MAX_UINT128`. function intoUint128(UD60x18 x) pure returns (uint128 result) { uint256 xUint = UD60x18.unwrap(x); if (xUint > MAX_UINT128) { revert CastingErrors.PRBMath_UD60x18_IntoUint128_Overflow(x); } result = uint128(xUint); } /// @notice Casts a UD60x18 number into uint40. /// @dev Requirements: /// - x must be less than or equal to `MAX_UINT40`. function intoUint40(UD60x18 x) pure returns (uint40 result) { uint256 xUint = UD60x18.unwrap(x); if (xUint > MAX_UINT40) { revert CastingErrors.PRBMath_UD60x18_IntoUint40_Overflow(x); } result = uint40(xUint); } /// @notice Alias for {wrap}. function ud(uint256 x) pure returns (UD60x18 result) { result = UD60x18.wrap(x); } /// @notice Alias for {wrap}. function ud60x18(uint256 x) pure returns (UD60x18 result) { result = UD60x18.wrap(x); } /// @notice Unwraps a UD60x18 number into uint256. function unwrap(UD60x18 x) pure returns (uint256 result) { result = UD60x18.unwrap(x); } /// @notice Wraps a uint256 number into the UD60x18 value type. function wrap(uint256 x) pure returns (UD60x18 result) { result = UD60x18.wrap(x); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { UD60x18 } from "./ValueType.sol"; // NOTICE: the "u" prefix stands for "unwrapped". /// @dev Euler's number as a UD60x18 number. UD60x18 constant E = UD60x18.wrap(2_718281828459045235); /// @dev The maximum input permitted in {exp}. uint256 constant uEXP_MAX_INPUT = 133_084258667509499440; UD60x18 constant EXP_MAX_INPUT = UD60x18.wrap(uEXP_MAX_INPUT); /// @dev The maximum input permitted in {exp2}. uint256 constant uEXP2_MAX_INPUT = 192e18 - 1; UD60x18 constant EXP2_MAX_INPUT = UD60x18.wrap(uEXP2_MAX_INPUT); /// @dev Half the UNIT number. uint256 constant uHALF_UNIT = 0.5e18; UD60x18 constant HALF_UNIT = UD60x18.wrap(uHALF_UNIT); /// @dev $log_2(10)$ as a UD60x18 number. uint256 constant uLOG2_10 = 3_321928094887362347; UD60x18 constant LOG2_10 = UD60x18.wrap(uLOG2_10); /// @dev $log_2(e)$ as a UD60x18 number. uint256 constant uLOG2_E = 1_442695040888963407; UD60x18 constant LOG2_E = UD60x18.wrap(uLOG2_E); /// @dev The maximum value a UD60x18 number can have. uint256 constant uMAX_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_584007913129639935; UD60x18 constant MAX_UD60x18 = UD60x18.wrap(uMAX_UD60x18); /// @dev The maximum whole value a UD60x18 number can have. uint256 constant uMAX_WHOLE_UD60x18 = 115792089237316195423570985008687907853269984665640564039457_000000000000000000; UD60x18 constant MAX_WHOLE_UD60x18 = UD60x18.wrap(uMAX_WHOLE_UD60x18); /// @dev PI as a UD60x18 number. UD60x18 constant PI = UD60x18.wrap(3_141592653589793238); /// @dev The unit number, which gives the decimal precision of UD60x18. uint256 constant uUNIT = 1e18; UD60x18 constant UNIT = UD60x18.wrap(uUNIT); /// @dev The unit number squared. uint256 constant uUNIT_SQUARED = 1e36; UD60x18 constant UNIT_SQUARED = UD60x18.wrap(uUNIT_SQUARED); /// @dev Zero as a UD60x18 number. UD60x18 constant ZERO = UD60x18.wrap(0);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { uMAX_UD60x18, uUNIT } from "./Constants.sol"; import { PRBMath_UD60x18_Convert_Overflow } from "./Errors.sol"; import { UD60x18 } from "./ValueType.sol"; /// @notice Converts a UD60x18 number to a simple integer by dividing it by `UNIT`. /// @dev The result is rounded toward zero. /// @param x The UD60x18 number to convert. /// @return result The same number in basic integer form. function convert(UD60x18 x) pure returns (uint256 result) { result = UD60x18.unwrap(x) / uUNIT; } /// @notice Converts a simple integer to UD60x18 by multiplying it by `UNIT`. /// /// @dev Requirements: /// - x must be less than or equal to `MAX_UD60x18 / UNIT`. /// /// @param x The basic integer to convert. /// @param result The same number converted to UD60x18. function convert(uint256 x) pure returns (UD60x18 result) { if (x > uMAX_UD60x18 / uUNIT) { revert PRBMath_UD60x18_Convert_Overflow(x); } unchecked { result = UD60x18.wrap(x * uUNIT); } }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { UD60x18 } from "./ValueType.sol"; /// @notice Thrown when ceiling a number overflows UD60x18. error PRBMath_UD60x18_Ceil_Overflow(UD60x18 x); /// @notice Thrown when converting a basic integer to the fixed-point format overflows UD60x18. error PRBMath_UD60x18_Convert_Overflow(uint256 x); /// @notice Thrown when taking the natural exponent of a base greater than 133_084258667509499441. error PRBMath_UD60x18_Exp_InputTooBig(UD60x18 x); /// @notice Thrown when taking the binary exponent of a base greater than 192e18. error PRBMath_UD60x18_Exp2_InputTooBig(UD60x18 x); /// @notice Thrown when taking the geometric mean of two numbers and multiplying them overflows UD60x18. error PRBMath_UD60x18_Gm_Overflow(UD60x18 x, UD60x18 y); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD1x18. error PRBMath_UD60x18_IntoSD1x18_Overflow(UD60x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD59x18. error PRBMath_UD60x18_IntoSD59x18_Overflow(UD60x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD2x18. error PRBMath_UD60x18_IntoUD2x18_Overflow(UD60x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint128. error PRBMath_UD60x18_IntoUint128_Overflow(UD60x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint40. error PRBMath_UD60x18_IntoUint40_Overflow(UD60x18 x); /// @notice Thrown when taking the logarithm of a number less than 1. error PRBMath_UD60x18_Log_InputTooSmall(UD60x18 x); /// @notice Thrown when calculating the square root overflows UD60x18. error PRBMath_UD60x18_Sqrt_Overflow(UD60x18 x);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { wrap } from "./Casting.sol"; import { UD60x18 } from "./ValueType.sol"; /// @notice Implements the checked addition operation (+) in the UD60x18 type. function add(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() + y.unwrap()); } /// @notice Implements the AND (&) bitwise operation in the UD60x18 type. function and(UD60x18 x, uint256 bits) pure returns (UD60x18 result) { result = wrap(x.unwrap() & bits); } /// @notice Implements the AND (&) bitwise operation in the UD60x18 type. function and2(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() & y.unwrap()); } /// @notice Implements the equal operation (==) in the UD60x18 type. function eq(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() == y.unwrap(); } /// @notice Implements the greater than operation (>) in the UD60x18 type. function gt(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() > y.unwrap(); } /// @notice Implements the greater than or equal to operation (>=) in the UD60x18 type. function gte(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() >= y.unwrap(); } /// @notice Implements a zero comparison check function in the UD60x18 type. function isZero(UD60x18 x) pure returns (bool result) { // This wouldn't work if x could be negative. result = x.unwrap() == 0; } /// @notice Implements the left shift operation (<<) in the UD60x18 type. function lshift(UD60x18 x, uint256 bits) pure returns (UD60x18 result) { result = wrap(x.unwrap() << bits); } /// @notice Implements the lower than operation (<) in the UD60x18 type. function lt(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() < y.unwrap(); } /// @notice Implements the lower than or equal to operation (<=) in the UD60x18 type. function lte(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() <= y.unwrap(); } /// @notice Implements the checked modulo operation (%) in the UD60x18 type. function mod(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() % y.unwrap()); } /// @notice Implements the not equal operation (!=) in the UD60x18 type. function neq(UD60x18 x, UD60x18 y) pure returns (bool result) { result = x.unwrap() != y.unwrap(); } /// @notice Implements the NOT (~) bitwise operation in the UD60x18 type. function not(UD60x18 x) pure returns (UD60x18 result) { result = wrap(~x.unwrap()); } /// @notice Implements the OR (|) bitwise operation in the UD60x18 type. function or(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() | y.unwrap()); } /// @notice Implements the right shift operation (>>) in the UD60x18 type. function rshift(UD60x18 x, uint256 bits) pure returns (UD60x18 result) { result = wrap(x.unwrap() >> bits); } /// @notice Implements the checked subtraction operation (-) in the UD60x18 type. function sub(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() - y.unwrap()); } /// @notice Implements the unchecked addition operation (+) in the UD60x18 type. function uncheckedAdd(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { unchecked { result = wrap(x.unwrap() + y.unwrap()); } } /// @notice Implements the unchecked subtraction operation (-) in the UD60x18 type. function uncheckedSub(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { unchecked { result = wrap(x.unwrap() - y.unwrap()); } } /// @notice Implements the XOR (^) bitwise operation in the UD60x18 type. function xor(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(x.unwrap() ^ y.unwrap()); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "../Common.sol" as Common; import "./Errors.sol" as Errors; import { wrap } from "./Casting.sol"; import { uEXP_MAX_INPUT, uEXP2_MAX_INPUT, uHALF_UNIT, uLOG2_10, uLOG2_E, uMAX_UD60x18, uMAX_WHOLE_UD60x18, UNIT, uUNIT, uUNIT_SQUARED, ZERO } from "./Constants.sol"; import { UD60x18 } from "./ValueType.sol"; /*////////////////////////////////////////////////////////////////////////// MATHEMATICAL FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Calculates the arithmetic average of x and y using the following formula: /// /// $$ /// avg(x, y) = (x & y) + ((xUint ^ yUint) / 2) /// $$ /// /// In English, this is what this formula does: /// /// 1. AND x and y. /// 2. Calculate half of XOR x and y. /// 3. Add the two results together. /// /// This technique is known as SWAR, which stands for "SIMD within a register". You can read more about it here: /// https://devblogs.microsoft.com/oldnewthing/20220207-00/?p=106223 /// /// @dev Notes: /// - The result is rounded toward zero. /// /// @param x The first operand as a UD60x18 number. /// @param y The second operand as a UD60x18 number. /// @return result The arithmetic average as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function avg(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); uint256 yUint = y.unwrap(); unchecked { result = wrap((xUint & yUint) + ((xUint ^ yUint) >> 1)); } } /// @notice Yields the smallest whole number greater than or equal to x. /// /// @dev This is optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional /// counterparts. See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// /// Requirements: /// - x must be less than or equal to `MAX_WHOLE_UD60x18`. /// /// @param x The UD60x18 number to ceil. /// @param result The smallest whole number greater than or equal to x, as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function ceil(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); if (xUint > uMAX_WHOLE_UD60x18) { revert Errors.PRBMath_UD60x18_Ceil_Overflow(x); } assembly ("memory-safe") { // Equivalent to `x % UNIT`. let remainder := mod(x, uUNIT) // Equivalent to `UNIT - remainder`. let delta := sub(uUNIT, remainder) // Equivalent to `x + remainder > 0 ? delta : 0`. result := add(x, mul(delta, gt(remainder, 0))) } } /// @notice Divides two UD60x18 numbers, returning a new UD60x18 number. /// /// @dev Uses {Common.mulDiv} to enable overflow-safe multiplication and division. /// /// Notes: /// - Refer to the notes in {Common.mulDiv}. /// /// Requirements: /// - Refer to the requirements in {Common.mulDiv}. /// /// @param x The numerator as a UD60x18 number. /// @param y The denominator as a UD60x18 number. /// @param result The quotient as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function div(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(Common.mulDiv(x.unwrap(), uUNIT, y.unwrap())); } /// @notice Calculates the natural exponent of x using the following formula: /// /// $$ /// e^x = 2^{x * log_2{e}} /// $$ /// /// @dev Requirements: /// - x must be less than 133_084258667509499441. /// /// @param x The exponent as a UD60x18 number. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function exp(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); // This check prevents values greater than 192e18 from being passed to {exp2}. if (xUint > uEXP_MAX_INPUT) { revert Errors.PRBMath_UD60x18_Exp_InputTooBig(x); } unchecked { // Inline the fixed-point multiplication to save gas. uint256 doubleUnitProduct = xUint * uLOG2_E; result = exp2(wrap(doubleUnitProduct / uUNIT)); } } /// @notice Calculates the binary exponent of x using the binary fraction method. /// /// @dev See https://ethereum.stackexchange.com/q/79903/24693 /// /// Requirements: /// - x must be less than 192e18. /// - The result must fit in UD60x18. /// /// @param x The exponent as a UD60x18 number. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function exp2(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); // Numbers greater than or equal to 192e18 don't fit in the 192.64-bit format. if (xUint > uEXP2_MAX_INPUT) { revert Errors.PRBMath_UD60x18_Exp2_InputTooBig(x); } // Convert x to the 192.64-bit fixed-point format. uint256 x_192x64 = (xUint << 64) / uUNIT; // Pass x to the {Common.exp2} function, which uses the 192.64-bit fixed-point number representation. result = wrap(Common.exp2(x_192x64)); } /// @notice Yields the greatest whole number less than or equal to x. /// @dev Optimized for fractional value inputs, because every whole value has (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// @param x The UD60x18 number to floor. /// @param result The greatest whole number less than or equal to x, as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function floor(UD60x18 x) pure returns (UD60x18 result) { assembly ("memory-safe") { // Equivalent to `x % UNIT`. let remainder := mod(x, uUNIT) // Equivalent to `x - remainder > 0 ? remainder : 0)`. result := sub(x, mul(remainder, gt(remainder, 0))) } } /// @notice Yields the excess beyond the floor of x using the odd function definition. /// @dev See https://en.wikipedia.org/wiki/Fractional_part. /// @param x The UD60x18 number to get the fractional part of. /// @param result The fractional part of x as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function frac(UD60x18 x) pure returns (UD60x18 result) { assembly ("memory-safe") { result := mod(x, uUNIT) } } /// @notice Calculates the geometric mean of x and y, i.e. $\sqrt{x * y}$, rounding down. /// /// @dev Requirements: /// - x * y must fit in UD60x18. /// /// @param x The first operand as a UD60x18 number. /// @param y The second operand as a UD60x18 number. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function gm(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); uint256 yUint = y.unwrap(); if (xUint == 0 || yUint == 0) { return ZERO; } unchecked { // Checking for overflow this way is faster than letting Solidity do it. uint256 xyUint = xUint * yUint; if (xyUint / xUint != yUint) { revert Errors.PRBMath_UD60x18_Gm_Overflow(x, y); } // We don't need to multiply the result by `UNIT` here because the x*y product picked up a factor of `UNIT` // during multiplication. See the comments in {Common.sqrt}. result = wrap(Common.sqrt(xyUint)); } } /// @notice Calculates the inverse of x. /// /// @dev Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - x must not be zero. /// /// @param x The UD60x18 number for which to calculate the inverse. /// @return result The inverse as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function inv(UD60x18 x) pure returns (UD60x18 result) { unchecked { result = wrap(uUNIT_SQUARED / x.unwrap()); } } /// @notice Calculates the natural logarithm of x using the following formula: /// /// $$ /// ln{x} = log_2{x} / log_2{e} /// $$ /// /// @dev Notes: /// - Refer to the notes in {log2}. /// - The precision isn't sufficiently fine-grained to return exactly `UNIT` when the input is `E`. /// /// Requirements: /// - Refer to the requirements in {log2}. /// /// @param x The UD60x18 number for which to calculate the natural logarithm. /// @return result The natural logarithm as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function ln(UD60x18 x) pure returns (UD60x18 result) { unchecked { // Inline the fixed-point multiplication to save gas. This is overflow-safe because the maximum value that // {log2} can return is ~196_205294292027477728. result = wrap(log2(x).unwrap() * uUNIT / uLOG2_E); } } /// @notice Calculates the common logarithm of x using the following formula: /// /// $$ /// log_{10}{x} = log_2{x} / log_2{10} /// $$ /// /// However, if x is an exact power of ten, a hard coded value is returned. /// /// @dev Notes: /// - Refer to the notes in {log2}. /// /// Requirements: /// - Refer to the requirements in {log2}. /// /// @param x The UD60x18 number for which to calculate the common logarithm. /// @return result The common logarithm as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function log10(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); if (xUint < uUNIT) { revert Errors.PRBMath_UD60x18_Log_InputTooSmall(x); } // Note that the `mul` in this assembly block is the standard multiplication operation, not {UD60x18.mul}. // prettier-ignore assembly ("memory-safe") { switch x case 1 { result := mul(uUNIT, sub(0, 18)) } case 10 { result := mul(uUNIT, sub(1, 18)) } case 100 { result := mul(uUNIT, sub(2, 18)) } case 1000 { result := mul(uUNIT, sub(3, 18)) } case 10000 { result := mul(uUNIT, sub(4, 18)) } case 100000 { result := mul(uUNIT, sub(5, 18)) } case 1000000 { result := mul(uUNIT, sub(6, 18)) } case 10000000 { result := mul(uUNIT, sub(7, 18)) } case 100000000 { result := mul(uUNIT, sub(8, 18)) } case 1000000000 { result := mul(uUNIT, sub(9, 18)) } case 10000000000 { result := mul(uUNIT, sub(10, 18)) } case 100000000000 { result := mul(uUNIT, sub(11, 18)) } case 1000000000000 { result := mul(uUNIT, sub(12, 18)) } case 10000000000000 { result := mul(uUNIT, sub(13, 18)) } case 100000000000000 { result := mul(uUNIT, sub(14, 18)) } case 1000000000000000 { result := mul(uUNIT, sub(15, 18)) } case 10000000000000000 { result := mul(uUNIT, sub(16, 18)) } case 100000000000000000 { result := mul(uUNIT, sub(17, 18)) } case 1000000000000000000 { result := 0 } case 10000000000000000000 { result := uUNIT } case 100000000000000000000 { result := mul(uUNIT, 2) } case 1000000000000000000000 { result := mul(uUNIT, 3) } case 10000000000000000000000 { result := mul(uUNIT, 4) } case 100000000000000000000000 { result := mul(uUNIT, 5) } case 1000000000000000000000000 { result := mul(uUNIT, 6) } case 10000000000000000000000000 { result := mul(uUNIT, 7) } case 100000000000000000000000000 { result := mul(uUNIT, 8) } case 1000000000000000000000000000 { result := mul(uUNIT, 9) } case 10000000000000000000000000000 { result := mul(uUNIT, 10) } case 100000000000000000000000000000 { result := mul(uUNIT, 11) } case 1000000000000000000000000000000 { result := mul(uUNIT, 12) } case 10000000000000000000000000000000 { result := mul(uUNIT, 13) } case 100000000000000000000000000000000 { result := mul(uUNIT, 14) } case 1000000000000000000000000000000000 { result := mul(uUNIT, 15) } case 10000000000000000000000000000000000 { result := mul(uUNIT, 16) } case 100000000000000000000000000000000000 { result := mul(uUNIT, 17) } case 1000000000000000000000000000000000000 { result := mul(uUNIT, 18) } case 10000000000000000000000000000000000000 { result := mul(uUNIT, 19) } case 100000000000000000000000000000000000000 { result := mul(uUNIT, 20) } case 1000000000000000000000000000000000000000 { result := mul(uUNIT, 21) } case 10000000000000000000000000000000000000000 { result := mul(uUNIT, 22) } case 100000000000000000000000000000000000000000 { result := mul(uUNIT, 23) } case 1000000000000000000000000000000000000000000 { result := mul(uUNIT, 24) } case 10000000000000000000000000000000000000000000 { result := mul(uUNIT, 25) } case 100000000000000000000000000000000000000000000 { result := mul(uUNIT, 26) } case 1000000000000000000000000000000000000000000000 { result := mul(uUNIT, 27) } case 10000000000000000000000000000000000000000000000 { result := mul(uUNIT, 28) } case 100000000000000000000000000000000000000000000000 { result := mul(uUNIT, 29) } case 1000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 30) } case 10000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 31) } case 100000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 32) } case 1000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 33) } case 10000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 34) } case 100000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 35) } case 1000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 36) } case 10000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 37) } case 100000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 38) } case 1000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 39) } case 10000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 40) } case 100000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 41) } case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 42) } case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 43) } case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 44) } case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 45) } case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 46) } case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 47) } case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 48) } case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 49) } case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 50) } case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 51) } case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 52) } case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 53) } case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 54) } case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 55) } case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 56) } case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 57) } case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 58) } case 100000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 59) } default { result := uMAX_UD60x18 } } if (result.unwrap() == uMAX_UD60x18) { unchecked { // Inline the fixed-point division to save gas. result = wrap(log2(x).unwrap() * uUNIT / uLOG2_10); } } } /// @notice Calculates the binary logarithm of x using the iterative approximation algorithm: /// /// $$ /// log_2{x} = n + log_2{y}, \text{ where } y = x*2^{-n}, \ y \in [1, 2) /// $$ /// /// For $0 \leq x \lt 1$, the input is inverted: /// /// $$ /// log_2{x} = -log_2{\frac{1}{x}} /// $$ /// /// @dev See https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation /// /// Notes: /// - Due to the lossy precision of the iterative approximation, the results are not perfectly accurate to the last decimal. /// /// Requirements: /// - x must be greater than zero. /// /// @param x The UD60x18 number for which to calculate the binary logarithm. /// @return result The binary logarithm as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function log2(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); if (xUint < uUNIT) { revert Errors.PRBMath_UD60x18_Log_InputTooSmall(x); } unchecked { // Calculate the integer part of the logarithm. uint256 n = Common.msb(xUint / uUNIT); // This is the integer part of the logarithm as a UD60x18 number. The operation can't overflow because n // n is at most 255 and UNIT is 1e18. uint256 resultUint = n * uUNIT; // Calculate $y = x * 2^{-n}$. uint256 y = xUint >> n; // If y is the unit number, the fractional part is zero. if (y == uUNIT) { return wrap(resultUint); } // Calculate the fractional part via the iterative approximation. // The `delta >>= 1` part is equivalent to `delta /= 2`, but shifting bits is more gas efficient. uint256 DOUBLE_UNIT = 2e18; for (uint256 delta = uHALF_UNIT; delta > 0; delta >>= 1) { y = (y * y) / uUNIT; // Is y^2 >= 2e18 and so in the range [2e18, 4e18)? if (y >= DOUBLE_UNIT) { // Add the 2^{-m} factor to the logarithm. resultUint += delta; // Halve y, which corresponds to z/2 in the Wikipedia article. y >>= 1; } } result = wrap(resultUint); } } /// @notice Multiplies two UD60x18 numbers together, returning a new UD60x18 number. /// /// @dev Uses {Common.mulDiv} to enable overflow-safe multiplication and division. /// /// Notes: /// - Refer to the notes in {Common.mulDiv}. /// /// Requirements: /// - Refer to the requirements in {Common.mulDiv}. /// /// @dev See the documentation in {Common.mulDiv18}. /// @param x The multiplicand as a UD60x18 number. /// @param y The multiplier as a UD60x18 number. /// @return result The product as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function mul(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { result = wrap(Common.mulDiv18(x.unwrap(), y.unwrap())); } /// @notice Raises x to the power of y. /// /// For $1 \leq x \leq \infty$, the following standard formula is used: /// /// $$ /// x^y = 2^{log_2{x} * y} /// $$ /// /// For $0 \leq x \lt 1$, since the unsigned {log2} is undefined, an equivalent formula is used: /// /// $$ /// i = \frac{1}{x} /// w = 2^{log_2{i} * y} /// x^y = \frac{1}{w} /// $$ /// /// @dev Notes: /// - Refer to the notes in {log2} and {mul}. /// - Returns `UNIT` for 0^0. /// - It may not perform well with very small values of x. Consider using SD59x18 as an alternative. /// /// Requirements: /// - Refer to the requirements in {exp2}, {log2}, and {mul}. /// /// @param x The base as a UD60x18 number. /// @param y The exponent as a UD60x18 number. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function pow(UD60x18 x, UD60x18 y) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); uint256 yUint = y.unwrap(); // If both x and y are zero, the result is `UNIT`. If just x is zero, the result is always zero. if (xUint == 0) { return yUint == 0 ? UNIT : ZERO; } // If x is `UNIT`, the result is always `UNIT`. else if (xUint == uUNIT) { return UNIT; } // If y is zero, the result is always `UNIT`. if (yUint == 0) { return UNIT; } // If y is `UNIT`, the result is always x. else if (yUint == uUNIT) { return x; } // If x is greater than `UNIT`, use the standard formula. if (xUint > uUNIT) { result = exp2(mul(log2(x), y)); } // Conversely, if x is less than `UNIT`, use the equivalent formula. else { UD60x18 i = wrap(uUNIT_SQUARED / xUint); UD60x18 w = exp2(mul(log2(i), y)); result = wrap(uUNIT_SQUARED / w.unwrap()); } } /// @notice Raises x (a UD60x18 number) to the power y (an unsigned basic integer) using the well-known /// algorithm "exponentiation by squaring". /// /// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring. /// /// Notes: /// - Refer to the notes in {Common.mulDiv18}. /// - Returns `UNIT` for 0^0. /// /// Requirements: /// - The result must fit in UD60x18. /// /// @param x The base as a UD60x18 number. /// @param y The exponent as a uint256. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function powu(UD60x18 x, uint256 y) pure returns (UD60x18 result) { // Calculate the first iteration of the loop in advance. uint256 xUint = x.unwrap(); uint256 resultUint = y & 1 > 0 ? xUint : uUNIT; // Equivalent to `for(y /= 2; y > 0; y /= 2)`. for (y >>= 1; y > 0; y >>= 1) { xUint = Common.mulDiv18(xUint, xUint); // Equivalent to `y % 2 == 1`. if (y & 1 > 0) { resultUint = Common.mulDiv18(resultUint, xUint); } } result = wrap(resultUint); } /// @notice Calculates the square root of x using the Babylonian method. /// /// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - x must be less than `MAX_UD60x18 / UNIT`. /// /// @param x The UD60x18 number for which to calculate the square root. /// @return result The result as a UD60x18 number. /// @custom:smtchecker abstract-function-nondet function sqrt(UD60x18 x) pure returns (UD60x18 result) { uint256 xUint = x.unwrap(); unchecked { if (xUint > uMAX_UD60x18 / uUNIT) { revert Errors.PRBMath_UD60x18_Sqrt_Overflow(x); } // Multiply x by `UNIT` to account for the factor of `UNIT` picked up when multiplying two UD60x18 numbers. // In this case, the two numbers are both the square root. result = wrap(Common.sqrt(xUint * uUNIT)); } }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Casting.sol" as Casting; import "./Helpers.sol" as Helpers; import "./Math.sol" as Math; /// @notice The unsigned 60.18-decimal fixed-point number representation, which can have up to 60 digits and up to 18 /// decimals. The values of this are bound by the minimum and the maximum values permitted by the Solidity type uint256. /// @dev The value type is defined here so it can be imported in all other files. type UD60x18 is uint256; /*////////////////////////////////////////////////////////////////////////// CASTING //////////////////////////////////////////////////////////////////////////*/ using { Casting.intoSD1x18, Casting.intoUD2x18, Casting.intoSD59x18, Casting.intoUint128, Casting.intoUint256, Casting.intoUint40, Casting.unwrap } for UD60x18 global; /*////////////////////////////////////////////////////////////////////////// MATHEMATICAL FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ // The global "using for" directive makes the functions in this library callable on the UD60x18 type. using { Math.avg, Math.ceil, Math.div, Math.exp, Math.exp2, Math.floor, Math.frac, Math.gm, Math.inv, Math.ln, Math.log10, Math.log2, Math.mul, Math.pow, Math.powu, Math.sqrt } for UD60x18 global; /*////////////////////////////////////////////////////////////////////////// HELPER FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ // The global "using for" directive makes the functions in this library callable on the UD60x18 type. using { Helpers.add, Helpers.and, Helpers.eq, Helpers.gt, Helpers.gte, Helpers.isZero, Helpers.lshift, Helpers.lt, Helpers.lte, Helpers.mod, Helpers.neq, Helpers.not, Helpers.or, Helpers.rshift, Helpers.sub, Helpers.uncheckedAdd, Helpers.uncheckedSub, Helpers.xor } for UD60x18 global; /*////////////////////////////////////////////////////////////////////////// OPERATORS //////////////////////////////////////////////////////////////////////////*/ // The global "using for" directive makes it possible to use these operators on the UD60x18 type. using { Helpers.add as +, Helpers.and2 as &, Math.div as /, Helpers.eq as ==, Helpers.gt as >, Helpers.gte as >=, Helpers.lt as <, Helpers.lte as <=, Helpers.or as |, Helpers.mod as %, Math.mul as *, Helpers.neq as !=, Helpers.not as ~, Helpers.sub as -, Helpers.xor as ^ } for UD60x18 global;
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; // Common.sol // // Common mathematical functions used in both SD59x18 and UD60x18. Note that these global functions do not // always operate with SD59x18 and UD60x18 numbers. /*////////////////////////////////////////////////////////////////////////// CUSTOM ERRORS //////////////////////////////////////////////////////////////////////////*/ /// @notice Thrown when the resultant value in {mulDiv} overflows uint256. error PRBMath_MulDiv_Overflow(uint256 x, uint256 y, uint256 denominator); /// @notice Thrown when the resultant value in {mulDiv18} overflows uint256. error PRBMath_MulDiv18_Overflow(uint256 x, uint256 y); /// @notice Thrown when one of the inputs passed to {mulDivSigned} is `type(int256).min`. error PRBMath_MulDivSigned_InputTooSmall(); /// @notice Thrown when the resultant value in {mulDivSigned} overflows int256. error PRBMath_MulDivSigned_Overflow(int256 x, int256 y); /*////////////////////////////////////////////////////////////////////////// CONSTANTS //////////////////////////////////////////////////////////////////////////*/ /// @dev The maximum value a uint128 number can have. uint128 constant MAX_UINT128 = type(uint128).max; /// @dev The maximum value a uint40 number can have. uint40 constant MAX_UINT40 = type(uint40).max; /// @dev The unit number, which the decimal precision of the fixed-point types. uint256 constant UNIT = 1e18; /// @dev The unit number inverted mod 2^256. uint256 constant UNIT_INVERSE = 78156646155174841979727994598816262306175212592076161876661_508869554232690281; /// @dev The the largest power of two that divides the decimal value of `UNIT`. The logarithm of this value is the least significant /// bit in the binary representation of `UNIT`. uint256 constant UNIT_LPOTD = 262144; /*////////////////////////////////////////////////////////////////////////// FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ /// @notice Calculates the binary exponent of x using the binary fraction method. /// @dev Has to use 192.64-bit fixed-point numbers. See https://ethereum.stackexchange.com/a/96594/24693. /// @param x The exponent as an unsigned 192.64-bit fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. /// @custom:smtchecker abstract-function-nondet function exp2(uint256 x) pure returns (uint256 result) { unchecked { // Start from 0.5 in the 192.64-bit fixed-point format. result = 0x800000000000000000000000000000000000000000000000; // The following logic multiplies the result by $\sqrt{2^{-i}}$ when the bit at position i is 1. Key points: // // 1. Intermediate results will not overflow, as the starting point is 2^191 and all magic factors are under 2^65. // 2. The rationale for organizing the if statements into groups of 8 is gas savings. If the result of performing // a bitwise AND operation between x and any value in the array [0x80; 0x40; 0x20; 0x10; 0x08; 0x04; 0x02; 0x01] is 1, // we know that `x & 0xFF` is also 1. if (x & 0xFF00000000000000 > 0) { if (x & 0x8000000000000000 > 0) { result = (result * 0x16A09E667F3BCC909) >> 64; } if (x & 0x4000000000000000 > 0) { result = (result * 0x1306FE0A31B7152DF) >> 64; } if (x & 0x2000000000000000 > 0) { result = (result * 0x1172B83C7D517ADCE) >> 64; } if (x & 0x1000000000000000 > 0) { result = (result * 0x10B5586CF9890F62A) >> 64; } if (x & 0x800000000000000 > 0) { result = (result * 0x1059B0D31585743AE) >> 64; } if (x & 0x400000000000000 > 0) { result = (result * 0x102C9A3E778060EE7) >> 64; } if (x & 0x200000000000000 > 0) { result = (result * 0x10163DA9FB33356D8) >> 64; } if (x & 0x100000000000000 > 0) { result = (result * 0x100B1AFA5ABCBED61) >> 64; } } if (x & 0xFF000000000000 > 0) { if (x & 0x80000000000000 > 0) { result = (result * 0x10058C86DA1C09EA2) >> 64; } if (x & 0x40000000000000 > 0) { result = (result * 0x1002C605E2E8CEC50) >> 64; } if (x & 0x20000000000000 > 0) { result = (result * 0x100162F3904051FA1) >> 64; } if (x & 0x10000000000000 > 0) { result = (result * 0x1000B175EFFDC76BA) >> 64; } if (x & 0x8000000000000 > 0) { result = (result * 0x100058BA01FB9F96D) >> 64; } if (x & 0x4000000000000 > 0) { result = (result * 0x10002C5CC37DA9492) >> 64; } if (x & 0x2000000000000 > 0) { result = (result * 0x1000162E525EE0547) >> 64; } if (x & 0x1000000000000 > 0) { result = (result * 0x10000B17255775C04) >> 64; } } if (x & 0xFF0000000000 > 0) { if (x & 0x800000000000 > 0) { result = (result * 0x1000058B91B5BC9AE) >> 64; } if (x & 0x400000000000 > 0) { result = (result * 0x100002C5C89D5EC6D) >> 64; } if (x & 0x200000000000 > 0) { result = (result * 0x10000162E43F4F831) >> 64; } if (x & 0x100000000000 > 0) { result = (result * 0x100000B1721BCFC9A) >> 64; } if (x & 0x80000000000 > 0) { result = (result * 0x10000058B90CF1E6E) >> 64; } if (x & 0x40000000000 > 0) { result = (result * 0x1000002C5C863B73F) >> 64; } if (x & 0x20000000000 > 0) { result = (result * 0x100000162E430E5A2) >> 64; } if (x & 0x10000000000 > 0) { result = (result * 0x1000000B172183551) >> 64; } } if (x & 0xFF00000000 > 0) { if (x & 0x8000000000 > 0) { result = (result * 0x100000058B90C0B49) >> 64; } if (x & 0x4000000000 > 0) { result = (result * 0x10000002C5C8601CC) >> 64; } if (x & 0x2000000000 > 0) { result = (result * 0x1000000162E42FFF0) >> 64; } if (x & 0x1000000000 > 0) { result = (result * 0x10000000B17217FBB) >> 64; } if (x & 0x800000000 > 0) { result = (result * 0x1000000058B90BFCE) >> 64; } if (x & 0x400000000 > 0) { result = (result * 0x100000002C5C85FE3) >> 64; } if (x & 0x200000000 > 0) { result = (result * 0x10000000162E42FF1) >> 64; } if (x & 0x100000000 > 0) { result = (result * 0x100000000B17217F8) >> 64; } } if (x & 0xFF000000 > 0) { if (x & 0x80000000 > 0) { result = (result * 0x10000000058B90BFC) >> 64; } if (x & 0x40000000 > 0) { result = (result * 0x1000000002C5C85FE) >> 64; } if (x & 0x20000000 > 0) { result = (result * 0x100000000162E42FF) >> 64; } if (x & 0x10000000 > 0) { result = (result * 0x1000000000B17217F) >> 64; } if (x & 0x8000000 > 0) { result = (result * 0x100000000058B90C0) >> 64; } if (x & 0x4000000 > 0) { result = (result * 0x10000000002C5C860) >> 64; } if (x & 0x2000000 > 0) { result = (result * 0x1000000000162E430) >> 64; } if (x & 0x1000000 > 0) { result = (result * 0x10000000000B17218) >> 64; } } if (x & 0xFF0000 > 0) { if (x & 0x800000 > 0) { result = (result * 0x1000000000058B90C) >> 64; } if (x & 0x400000 > 0) { result = (result * 0x100000000002C5C86) >> 64; } if (x & 0x200000 > 0) { result = (result * 0x10000000000162E43) >> 64; } if (x & 0x100000 > 0) { result = (result * 0x100000000000B1721) >> 64; } if (x & 0x80000 > 0) { result = (result * 0x10000000000058B91) >> 64; } if (x & 0x40000 > 0) { result = (result * 0x1000000000002C5C8) >> 64; } if (x & 0x20000 > 0) { result = (result * 0x100000000000162E4) >> 64; } if (x & 0x10000 > 0) { result = (result * 0x1000000000000B172) >> 64; } } if (x & 0xFF00 > 0) { if (x & 0x8000 > 0) { result = (result * 0x100000000000058B9) >> 64; } if (x & 0x4000 > 0) { result = (result * 0x10000000000002C5D) >> 64; } if (x & 0x2000 > 0) { result = (result * 0x1000000000000162E) >> 64; } if (x & 0x1000 > 0) { result = (result * 0x10000000000000B17) >> 64; } if (x & 0x800 > 0) { result = (result * 0x1000000000000058C) >> 64; } if (x & 0x400 > 0) { result = (result * 0x100000000000002C6) >> 64; } if (x & 0x200 > 0) { result = (result * 0x10000000000000163) >> 64; } if (x & 0x100 > 0) { result = (result * 0x100000000000000B1) >> 64; } } if (x & 0xFF > 0) { if (x & 0x80 > 0) { result = (result * 0x10000000000000059) >> 64; } if (x & 0x40 > 0) { result = (result * 0x1000000000000002C) >> 64; } if (x & 0x20 > 0) { result = (result * 0x10000000000000016) >> 64; } if (x & 0x10 > 0) { result = (result * 0x1000000000000000B) >> 64; } if (x & 0x8 > 0) { result = (result * 0x10000000000000006) >> 64; } if (x & 0x4 > 0) { result = (result * 0x10000000000000003) >> 64; } if (x & 0x2 > 0) { result = (result * 0x10000000000000001) >> 64; } if (x & 0x1 > 0) { result = (result * 0x10000000000000001) >> 64; } } // In the code snippet below, two operations are executed simultaneously: // // 1. The result is multiplied by $(2^n + 1)$, where $2^n$ represents the integer part, and the additional 1 // accounts for the initial guess of 0.5. This is achieved by subtracting from 191 instead of 192. // 2. The result is then converted to an unsigned 60.18-decimal fixed-point format. // // The underlying logic is based on the relationship $2^{191-ip} = 2^{ip} / 2^{191}$, where $ip$ denotes the, // integer part, $2^n$. result *= UNIT; result >>= (191 - (x >> 64)); } } /// @notice Finds the zero-based index of the first 1 in the binary representation of x. /// /// @dev See the note on "msb" in this Wikipedia article: https://en.wikipedia.org/wiki/Find_first_set /// /// Each step in this implementation is equivalent to this high-level code: /// /// ```solidity /// if (x >= 2 ** 128) { /// x >>= 128; /// result += 128; /// } /// ``` /// /// Where 128 is replaced with each respective power of two factor. See the full high-level implementation here: /// https://gist.github.com/PaulRBerg/f932f8693f2733e30c4d479e8e980948 /// /// The Yul instructions used below are: /// /// - "gt" is "greater than" /// - "or" is the OR bitwise operator /// - "shl" is "shift left" /// - "shr" is "shift right" /// /// @param x The uint256 number for which to find the index of the most significant bit. /// @return result The index of the most significant bit as a uint256. /// @custom:smtchecker abstract-function-nondet function msb(uint256 x) pure returns (uint256 result) { // 2^128 assembly ("memory-safe") { let factor := shl(7, gt(x, 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)) x := shr(factor, x) result := or(result, factor) } // 2^64 assembly ("memory-safe") { let factor := shl(6, gt(x, 0xFFFFFFFFFFFFFFFF)) x := shr(factor, x) result := or(result, factor) } // 2^32 assembly ("memory-safe") { let factor := shl(5, gt(x, 0xFFFFFFFF)) x := shr(factor, x) result := or(result, factor) } // 2^16 assembly ("memory-safe") { let factor := shl(4, gt(x, 0xFFFF)) x := shr(factor, x) result := or(result, factor) } // 2^8 assembly ("memory-safe") { let factor := shl(3, gt(x, 0xFF)) x := shr(factor, x) result := or(result, factor) } // 2^4 assembly ("memory-safe") { let factor := shl(2, gt(x, 0xF)) x := shr(factor, x) result := or(result, factor) } // 2^2 assembly ("memory-safe") { let factor := shl(1, gt(x, 0x3)) x := shr(factor, x) result := or(result, factor) } // 2^1 // No need to shift x any more. assembly ("memory-safe") { let factor := gt(x, 0x1) result := or(result, factor) } } /// @notice Calculates x*y÷denominator with 512-bit precision. /// /// @dev Credits to Remco Bloemen under MIT license https://xn--2-umb.com/21/muldiv. /// /// Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - The denominator must not be zero. /// - The result must fit in uint256. /// /// @param x The multiplicand as a uint256. /// @param y The multiplier as a uint256. /// @param denominator The divisor as a uint256. /// @return result The result as a uint256. /// @custom:smtchecker abstract-function-nondet function mulDiv(uint256 x, uint256 y, uint256 denominator) pure returns (uint256 result) { // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use // use the Chinese Remainder Theorem to reconstruct the 512-bit result. The result is stored in two 256 // variables such that product = prod1 * 2^256 + prod0. uint256 prod0; // Least significant 256 bits of the product uint256 prod1; // Most significant 256 bits of the product assembly ("memory-safe") { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } // Handle non-overflow cases, 256 by 256 division. if (prod1 == 0) { unchecked { return prod0 / denominator; } } // Make sure the result is less than 2^256. Also prevents denominator == 0. if (prod1 >= denominator) { revert PRBMath_MulDiv_Overflow(x, y, denominator); } //////////////////////////////////////////////////////////////////////////// // 512 by 256 division //////////////////////////////////////////////////////////////////////////// // Make division exact by subtracting the remainder from [prod1 prod0]. uint256 remainder; assembly ("memory-safe") { // Compute remainder using the mulmod Yul instruction. remainder := mulmod(x, y, denominator) // Subtract 256 bit number from 512-bit number. prod1 := sub(prod1, gt(remainder, prod0)) prod0 := sub(prod0, remainder) } unchecked { // Calculate the largest power of two divisor of the denominator using the unary operator ~. This operation cannot overflow // because the denominator cannot be zero at this point in the function execution. The result is always >= 1. // For more detail, see https://cs.stackexchange.com/q/138556/92363. uint256 lpotdod = denominator & (~denominator + 1); uint256 flippedLpotdod; assembly ("memory-safe") { // Factor powers of two out of denominator. denominator := div(denominator, lpotdod) // Divide [prod1 prod0] by lpotdod. prod0 := div(prod0, lpotdod) // Get the flipped value `2^256 / lpotdod`. If the `lpotdod` is zero, the flipped value is one. // `sub(0, lpotdod)` produces the two's complement version of `lpotdod`, which is equivalent to flipping all the bits. // However, `div` interprets this value as an unsigned value: https://ethereum.stackexchange.com/q/147168/24693 flippedLpotdod := add(div(sub(0, lpotdod), lpotdod), 1) } // Shift in bits from prod1 into prod0. prod0 |= prod1 * flippedLpotdod; // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for // four bits. That is, denominator * inv = 1 mod 2^4. uint256 inverse = (3 * denominator) ^ 2; // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works // in modular arithmetic, doubling the correct bits in each step. inverse *= 2 - denominator * inverse; // inverse mod 2^8 inverse *= 2 - denominator * inverse; // inverse mod 2^16 inverse *= 2 - denominator * inverse; // inverse mod 2^32 inverse *= 2 - denominator * inverse; // inverse mod 2^64 inverse *= 2 - denominator * inverse; // inverse mod 2^128 inverse *= 2 - denominator * inverse; // inverse mod 2^256 // Because the division is now exact we can divide by multiplying with the modular inverse of denominator. // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1 // is no longer required. result = prod0 * inverse; } } /// @notice Calculates x*y÷1e18 with 512-bit precision. /// /// @dev A variant of {mulDiv} with constant folding, i.e. in which the denominator is hard coded to 1e18. /// /// Notes: /// - The body is purposely left uncommented; to understand how this works, see the documentation in {mulDiv}. /// - The result is rounded toward zero. /// - We take as an axiom that the result cannot be `MAX_UINT256` when x and y solve the following system of equations: /// /// $$ /// \begin{cases} /// x * y = MAX\_UINT256 * UNIT \\ /// (x * y) \% UNIT \geq \frac{UNIT}{2} /// \end{cases} /// $$ /// /// Requirements: /// - Refer to the requirements in {mulDiv}. /// - The result must fit in uint256. /// /// @param x The multiplicand as an unsigned 60.18-decimal fixed-point number. /// @param y The multiplier as an unsigned 60.18-decimal fixed-point number. /// @return result The result as an unsigned 60.18-decimal fixed-point number. /// @custom:smtchecker abstract-function-nondet function mulDiv18(uint256 x, uint256 y) pure returns (uint256 result) { uint256 prod0; uint256 prod1; assembly ("memory-safe") { let mm := mulmod(x, y, not(0)) prod0 := mul(x, y) prod1 := sub(sub(mm, prod0), lt(mm, prod0)) } if (prod1 == 0) { unchecked { return prod0 / UNIT; } } if (prod1 >= UNIT) { revert PRBMath_MulDiv18_Overflow(x, y); } uint256 remainder; assembly ("memory-safe") { remainder := mulmod(x, y, UNIT) result := mul( or( div(sub(prod0, remainder), UNIT_LPOTD), mul(sub(prod1, gt(remainder, prod0)), add(div(sub(0, UNIT_LPOTD), UNIT_LPOTD), 1)) ), UNIT_INVERSE ) } } /// @notice Calculates x*y÷denominator with 512-bit precision. /// /// @dev This is an extension of {mulDiv} for signed numbers, which works by computing the signs and the absolute values separately. /// /// Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - Refer to the requirements in {mulDiv}. /// - None of the inputs can be `type(int256).min`. /// - The result must fit in int256. /// /// @param x The multiplicand as an int256. /// @param y The multiplier as an int256. /// @param denominator The divisor as an int256. /// @return result The result as an int256. /// @custom:smtchecker abstract-function-nondet function mulDivSigned(int256 x, int256 y, int256 denominator) pure returns (int256 result) { if (x == type(int256).min || y == type(int256).min || denominator == type(int256).min) { revert PRBMath_MulDivSigned_InputTooSmall(); } // Get hold of the absolute values of x, y and the denominator. uint256 xAbs; uint256 yAbs; uint256 dAbs; unchecked { xAbs = x < 0 ? uint256(-x) : uint256(x); yAbs = y < 0 ? uint256(-y) : uint256(y); dAbs = denominator < 0 ? uint256(-denominator) : uint256(denominator); } // Compute the absolute value of x*y÷denominator. The result must fit in int256. uint256 resultAbs = mulDiv(xAbs, yAbs, dAbs); if (resultAbs > uint256(type(int256).max)) { revert PRBMath_MulDivSigned_Overflow(x, y); } // Get the signs of x, y and the denominator. uint256 sx; uint256 sy; uint256 sd; assembly ("memory-safe") { // "sgt" is the "signed greater than" assembly instruction and "sub(0,1)" is -1 in two's complement. sx := sgt(x, sub(0, 1)) sy := sgt(y, sub(0, 1)) sd := sgt(denominator, sub(0, 1)) } // XOR over sx, sy and sd. What this does is to check whether there are 1 or 3 negative signs in the inputs. // If there are, the result should be negative. Otherwise, it should be positive. unchecked { result = sx ^ sy ^ sd == 0 ? -int256(resultAbs) : int256(resultAbs); } } /// @notice Calculates the square root of x using the Babylonian method. /// /// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Notes: /// - If x is not a perfect square, the result is rounded down. /// - Credits to OpenZeppelin for the explanations in comments below. /// /// @param x The uint256 number for which to calculate the square root. /// @return result The result as a uint256. /// @custom:smtchecker abstract-function-nondet function sqrt(uint256 x) pure returns (uint256 result) { if (x == 0) { return 0; } // For our first guess, we calculate the biggest power of 2 which is smaller than the square root of x. // // We know that the "msb" (most significant bit) of x is a power of 2 such that we have: // // $$ // msb(x) <= x <= 2*msb(x)$ // $$ // // We write $msb(x)$ as $2^k$, and we get: // // $$ // k = log_2(x) // $$ // // Thus, we can write the initial inequality as: // // $$ // 2^{log_2(x)} <= x <= 2*2^{log_2(x)+1} \\ // sqrt(2^k) <= sqrt(x) < sqrt(2^{k+1}) \\ // 2^{k/2} <= sqrt(x) < 2^{(k+1)/2} <= 2^{(k/2)+1} // $$ // // Consequently, $2^{log_2(x) /2} is a good first approximation of sqrt(x) with at least one correct bit. uint256 xAux = uint256(x); result = 1; if (xAux >= 2 ** 128) { xAux >>= 128; result <<= 64; } if (xAux >= 2 ** 64) { xAux >>= 64; result <<= 32; } if (xAux >= 2 ** 32) { xAux >>= 32; result <<= 16; } if (xAux >= 2 ** 16) { xAux >>= 16; result <<= 8; } if (xAux >= 2 ** 8) { xAux >>= 8; result <<= 4; } if (xAux >= 2 ** 4) { xAux >>= 4; result <<= 2; } if (xAux >= 2 ** 2) { result <<= 1; } // At this point, `result` is an estimation with at least one bit of precision. We know the true value has at // most 128 bits, since it is the square root of a uint256. Newton's method converges quadratically (precision // doubles at every iteration). We thus need at most 7 iteration to turn our partial result with one bit of // precision into the expected uint128 result. unchecked { result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; result = (result + x / result) >> 1; // If x is not a perfect square, round the result toward zero. uint256 roundedResult = x / result; if (result >= roundedResult) { result = roundedResult; } } }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { SD1x18 } from "./ValueType.sol"; /// @dev Euler's number as an SD1x18 number. SD1x18 constant E = SD1x18.wrap(2_718281828459045235); /// @dev The maximum value an SD1x18 number can have. int64 constant uMAX_SD1x18 = 9_223372036854775807; SD1x18 constant MAX_SD1x18 = SD1x18.wrap(uMAX_SD1x18); /// @dev The maximum value an SD1x18 number can have. int64 constant uMIN_SD1x18 = -9_223372036854775808; SD1x18 constant MIN_SD1x18 = SD1x18.wrap(uMIN_SD1x18); /// @dev PI as an SD1x18 number. SD1x18 constant PI = SD1x18.wrap(3_141592653589793238); /// @dev The unit number, which gives the decimal precision of SD1x18. SD1x18 constant UNIT = SD1x18.wrap(1e18); int256 constant uUNIT = 1e18;
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Casting.sol" as Casting; /// @notice The signed 1.18-decimal fixed-point number representation, which can have up to 1 digit and up to 18 /// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity /// type int64. This is useful when end users want to use int64 to save gas, e.g. with tight variable packing in contract /// storage. type SD1x18 is int64; /*////////////////////////////////////////////////////////////////////////// CASTING //////////////////////////////////////////////////////////////////////////*/ using { Casting.intoSD59x18, Casting.intoUD2x18, Casting.intoUD60x18, Casting.intoUint256, Casting.intoUint128, Casting.intoUint40, Casting.unwrap } for SD1x18 global;
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Casting.sol" as Casting; import "./Helpers.sol" as Helpers; import "./Math.sol" as Math; /// @notice The signed 59.18-decimal fixed-point number representation, which can have up to 59 digits and up to 18 /// decimals. The values of this are bound by the minimum and the maximum values permitted by the underlying Solidity /// type int256. type SD59x18 is int256; /*////////////////////////////////////////////////////////////////////////// CASTING //////////////////////////////////////////////////////////////////////////*/ using { Casting.intoInt256, Casting.intoSD1x18, Casting.intoUD2x18, Casting.intoUD60x18, Casting.intoUint256, Casting.intoUint128, Casting.intoUint40, Casting.unwrap } for SD59x18 global; /*////////////////////////////////////////////////////////////////////////// MATHEMATICAL FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ using { Math.abs, Math.avg, Math.ceil, Math.div, Math.exp, Math.exp2, Math.floor, Math.frac, Math.gm, Math.inv, Math.log10, Math.log2, Math.ln, Math.mul, Math.pow, Math.powu, Math.sqrt } for SD59x18 global; /*////////////////////////////////////////////////////////////////////////// HELPER FUNCTIONS //////////////////////////////////////////////////////////////////////////*/ using { Helpers.add, Helpers.and, Helpers.eq, Helpers.gt, Helpers.gte, Helpers.isZero, Helpers.lshift, Helpers.lt, Helpers.lte, Helpers.mod, Helpers.neq, Helpers.not, Helpers.or, Helpers.rshift, Helpers.sub, Helpers.uncheckedAdd, Helpers.uncheckedSub, Helpers.uncheckedUnary, Helpers.xor } for SD59x18 global; /*////////////////////////////////////////////////////////////////////////// OPERATORS //////////////////////////////////////////////////////////////////////////*/ // The global "using for" directive makes it possible to use these operators on the SD59x18 type. using { Helpers.add as +, Helpers.and2 as &, Math.div as /, Helpers.eq as ==, Helpers.gt as >, Helpers.gte as >=, Helpers.lt as <, Helpers.lte as <=, Helpers.mod as %, Math.mul as *, Helpers.neq as !=, Helpers.not as ~, Helpers.or as |, Helpers.sub as -, Helpers.unary as -, Helpers.xor as ^ } for SD59x18 global;
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { SD59x18 } from "./ValueType.sol"; // NOTICE: the "u" prefix stands for "unwrapped". /// @dev Euler's number as an SD59x18 number. SD59x18 constant E = SD59x18.wrap(2_718281828459045235); /// @dev The maximum input permitted in {exp}. int256 constant uEXP_MAX_INPUT = 133_084258667509499440; SD59x18 constant EXP_MAX_INPUT = SD59x18.wrap(uEXP_MAX_INPUT); /// @dev The maximum input permitted in {exp2}. int256 constant uEXP2_MAX_INPUT = 192e18 - 1; SD59x18 constant EXP2_MAX_INPUT = SD59x18.wrap(uEXP2_MAX_INPUT); /// @dev Half the UNIT number. int256 constant uHALF_UNIT = 0.5e18; SD59x18 constant HALF_UNIT = SD59x18.wrap(uHALF_UNIT); /// @dev $log_2(10)$ as an SD59x18 number. int256 constant uLOG2_10 = 3_321928094887362347; SD59x18 constant LOG2_10 = SD59x18.wrap(uLOG2_10); /// @dev $log_2(e)$ as an SD59x18 number. int256 constant uLOG2_E = 1_442695040888963407; SD59x18 constant LOG2_E = SD59x18.wrap(uLOG2_E); /// @dev The maximum value an SD59x18 number can have. int256 constant uMAX_SD59x18 = 57896044618658097711785492504343953926634992332820282019728_792003956564819967; SD59x18 constant MAX_SD59x18 = SD59x18.wrap(uMAX_SD59x18); /// @dev The maximum whole value an SD59x18 number can have. int256 constant uMAX_WHOLE_SD59x18 = 57896044618658097711785492504343953926634992332820282019728_000000000000000000; SD59x18 constant MAX_WHOLE_SD59x18 = SD59x18.wrap(uMAX_WHOLE_SD59x18); /// @dev The minimum value an SD59x18 number can have. int256 constant uMIN_SD59x18 = -57896044618658097711785492504343953926634992332820282019728_792003956564819968; SD59x18 constant MIN_SD59x18 = SD59x18.wrap(uMIN_SD59x18); /// @dev The minimum whole value an SD59x18 number can have. int256 constant uMIN_WHOLE_SD59x18 = -57896044618658097711785492504343953926634992332820282019728_000000000000000000; SD59x18 constant MIN_WHOLE_SD59x18 = SD59x18.wrap(uMIN_WHOLE_SD59x18); /// @dev PI as an SD59x18 number. SD59x18 constant PI = SD59x18.wrap(3_141592653589793238); /// @dev The unit number, which gives the decimal precision of SD59x18. int256 constant uUNIT = 1e18; SD59x18 constant UNIT = SD59x18.wrap(1e18); /// @dev The unit number squared. int256 constant uUNIT_SQUARED = 1e36; SD59x18 constant UNIT_SQUARED = SD59x18.wrap(uUNIT_SQUARED); /// @dev Zero as an SD59x18 number. SD59x18 constant ZERO = SD59x18.wrap(0);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "../Common.sol" as Common; import "./Errors.sol" as CastingErrors; import { SD59x18 } from "../sd59x18/ValueType.sol"; import { UD2x18 } from "../ud2x18/ValueType.sol"; import { UD60x18 } from "../ud60x18/ValueType.sol"; import { SD1x18 } from "./ValueType.sol"; /// @notice Casts an SD1x18 number into SD59x18. /// @dev There is no overflow check because the domain of SD1x18 is a subset of SD59x18. function intoSD59x18(SD1x18 x) pure returns (SD59x18 result) { result = SD59x18.wrap(int256(SD1x18.unwrap(x))); } /// @notice Casts an SD1x18 number into UD2x18. /// - x must be positive. function intoUD2x18(SD1x18 x) pure returns (UD2x18 result) { int64 xInt = SD1x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD1x18_ToUD2x18_Underflow(x); } result = UD2x18.wrap(uint64(xInt)); } /// @notice Casts an SD1x18 number into UD60x18. /// @dev Requirements: /// - x must be positive. function intoUD60x18(SD1x18 x) pure returns (UD60x18 result) { int64 xInt = SD1x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD1x18_ToUD60x18_Underflow(x); } result = UD60x18.wrap(uint64(xInt)); } /// @notice Casts an SD1x18 number into uint256. /// @dev Requirements: /// - x must be positive. function intoUint256(SD1x18 x) pure returns (uint256 result) { int64 xInt = SD1x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD1x18_ToUint256_Underflow(x); } result = uint256(uint64(xInt)); } /// @notice Casts an SD1x18 number into uint128. /// @dev Requirements: /// - x must be positive. function intoUint128(SD1x18 x) pure returns (uint128 result) { int64 xInt = SD1x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD1x18_ToUint128_Underflow(x); } result = uint128(uint64(xInt)); } /// @notice Casts an SD1x18 number into uint40. /// @dev Requirements: /// - x must be positive. /// - x must be less than or equal to `MAX_UINT40`. function intoUint40(SD1x18 x) pure returns (uint40 result) { int64 xInt = SD1x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD1x18_ToUint40_Underflow(x); } if (xInt > int64(uint64(Common.MAX_UINT40))) { revert CastingErrors.PRBMath_SD1x18_ToUint40_Overflow(x); } result = uint40(uint64(xInt)); } /// @notice Alias for {wrap}. function sd1x18(int64 x) pure returns (SD1x18 result) { result = SD1x18.wrap(x); } /// @notice Unwraps an SD1x18 number into int64. function unwrap(SD1x18 x) pure returns (int64 result) { result = SD1x18.unwrap(x); } /// @notice Wraps an int64 number into SD1x18. function wrap(int64 x) pure returns (SD1x18 result) { result = SD1x18.wrap(x); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "./Errors.sol" as CastingErrors; import { MAX_UINT128, MAX_UINT40 } from "../Common.sol"; import { uMAX_SD1x18, uMIN_SD1x18 } from "../sd1x18/Constants.sol"; import { SD1x18 } from "../sd1x18/ValueType.sol"; import { uMAX_UD2x18 } from "../ud2x18/Constants.sol"; import { UD2x18 } from "../ud2x18/ValueType.sol"; import { UD60x18 } from "../ud60x18/ValueType.sol"; import { SD59x18 } from "./ValueType.sol"; /// @notice Casts an SD59x18 number into int256. /// @dev This is basically a functional alias for {unwrap}. function intoInt256(SD59x18 x) pure returns (int256 result) { result = SD59x18.unwrap(x); } /// @notice Casts an SD59x18 number into SD1x18. /// @dev Requirements: /// - x must be greater than or equal to `uMIN_SD1x18`. /// - x must be less than or equal to `uMAX_SD1x18`. function intoSD1x18(SD59x18 x) pure returns (SD1x18 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < uMIN_SD1x18) { revert CastingErrors.PRBMath_SD59x18_IntoSD1x18_Underflow(x); } if (xInt > uMAX_SD1x18) { revert CastingErrors.PRBMath_SD59x18_IntoSD1x18_Overflow(x); } result = SD1x18.wrap(int64(xInt)); } /// @notice Casts an SD59x18 number into UD2x18. /// @dev Requirements: /// - x must be positive. /// - x must be less than or equal to `uMAX_UD2x18`. function intoUD2x18(SD59x18 x) pure returns (UD2x18 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD59x18_IntoUD2x18_Underflow(x); } if (xInt > int256(uint256(uMAX_UD2x18))) { revert CastingErrors.PRBMath_SD59x18_IntoUD2x18_Overflow(x); } result = UD2x18.wrap(uint64(uint256(xInt))); } /// @notice Casts an SD59x18 number into UD60x18. /// @dev Requirements: /// - x must be positive. function intoUD60x18(SD59x18 x) pure returns (UD60x18 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD59x18_IntoUD60x18_Underflow(x); } result = UD60x18.wrap(uint256(xInt)); } /// @notice Casts an SD59x18 number into uint256. /// @dev Requirements: /// - x must be positive. function intoUint256(SD59x18 x) pure returns (uint256 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD59x18_IntoUint256_Underflow(x); } result = uint256(xInt); } /// @notice Casts an SD59x18 number into uint128. /// @dev Requirements: /// - x must be positive. /// - x must be less than or equal to `uMAX_UINT128`. function intoUint128(SD59x18 x) pure returns (uint128 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD59x18_IntoUint128_Underflow(x); } if (xInt > int256(uint256(MAX_UINT128))) { revert CastingErrors.PRBMath_SD59x18_IntoUint128_Overflow(x); } result = uint128(uint256(xInt)); } /// @notice Casts an SD59x18 number into uint40. /// @dev Requirements: /// - x must be positive. /// - x must be less than or equal to `MAX_UINT40`. function intoUint40(SD59x18 x) pure returns (uint40 result) { int256 xInt = SD59x18.unwrap(x); if (xInt < 0) { revert CastingErrors.PRBMath_SD59x18_IntoUint40_Underflow(x); } if (xInt > int256(uint256(MAX_UINT40))) { revert CastingErrors.PRBMath_SD59x18_IntoUint40_Overflow(x); } result = uint40(uint256(xInt)); } /// @notice Alias for {wrap}. function sd(int256 x) pure returns (SD59x18 result) { result = SD59x18.wrap(x); } /// @notice Alias for {wrap}. function sd59x18(int256 x) pure returns (SD59x18 result) { result = SD59x18.wrap(x); } /// @notice Unwraps an SD59x18 number into int256. function unwrap(SD59x18 x) pure returns (int256 result) { result = SD59x18.unwrap(x); } /// @notice Wraps an int256 number into SD59x18. function wrap(int256 x) pure returns (SD59x18 result) { result = SD59x18.wrap(x); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { wrap } from "./Casting.sol"; import { SD59x18 } from "./ValueType.sol"; /// @notice Implements the checked addition operation (+) in the SD59x18 type. function add(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { return wrap(x.unwrap() + y.unwrap()); } /// @notice Implements the AND (&) bitwise operation in the SD59x18 type. function and(SD59x18 x, int256 bits) pure returns (SD59x18 result) { return wrap(x.unwrap() & bits); } /// @notice Implements the AND (&) bitwise operation in the SD59x18 type. function and2(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { return wrap(x.unwrap() & y.unwrap()); } /// @notice Implements the equal (=) operation in the SD59x18 type. function eq(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() == y.unwrap(); } /// @notice Implements the greater than operation (>) in the SD59x18 type. function gt(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() > y.unwrap(); } /// @notice Implements the greater than or equal to operation (>=) in the SD59x18 type. function gte(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() >= y.unwrap(); } /// @notice Implements a zero comparison check function in the SD59x18 type. function isZero(SD59x18 x) pure returns (bool result) { result = x.unwrap() == 0; } /// @notice Implements the left shift operation (<<) in the SD59x18 type. function lshift(SD59x18 x, uint256 bits) pure returns (SD59x18 result) { result = wrap(x.unwrap() << bits); } /// @notice Implements the lower than operation (<) in the SD59x18 type. function lt(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() < y.unwrap(); } /// @notice Implements the lower than or equal to operation (<=) in the SD59x18 type. function lte(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() <= y.unwrap(); } /// @notice Implements the unchecked modulo operation (%) in the SD59x18 type. function mod(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { result = wrap(x.unwrap() % y.unwrap()); } /// @notice Implements the not equal operation (!=) in the SD59x18 type. function neq(SD59x18 x, SD59x18 y) pure returns (bool result) { result = x.unwrap() != y.unwrap(); } /// @notice Implements the NOT (~) bitwise operation in the SD59x18 type. function not(SD59x18 x) pure returns (SD59x18 result) { result = wrap(~x.unwrap()); } /// @notice Implements the OR (|) bitwise operation in the SD59x18 type. function or(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { result = wrap(x.unwrap() | y.unwrap()); } /// @notice Implements the right shift operation (>>) in the SD59x18 type. function rshift(SD59x18 x, uint256 bits) pure returns (SD59x18 result) { result = wrap(x.unwrap() >> bits); } /// @notice Implements the checked subtraction operation (-) in the SD59x18 type. function sub(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { result = wrap(x.unwrap() - y.unwrap()); } /// @notice Implements the checked unary minus operation (-) in the SD59x18 type. function unary(SD59x18 x) pure returns (SD59x18 result) { result = wrap(-x.unwrap()); } /// @notice Implements the unchecked addition operation (+) in the SD59x18 type. function uncheckedAdd(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { unchecked { result = wrap(x.unwrap() + y.unwrap()); } } /// @notice Implements the unchecked subtraction operation (-) in the SD59x18 type. function uncheckedSub(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { unchecked { result = wrap(x.unwrap() - y.unwrap()); } } /// @notice Implements the unchecked unary minus operation (-) in the SD59x18 type. function uncheckedUnary(SD59x18 x) pure returns (SD59x18 result) { unchecked { result = wrap(-x.unwrap()); } } /// @notice Implements the XOR (^) bitwise operation in the SD59x18 type. function xor(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { result = wrap(x.unwrap() ^ y.unwrap()); }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import "../Common.sol" as Common; import "./Errors.sol" as Errors; import { uEXP_MAX_INPUT, uEXP2_MAX_INPUT, uHALF_UNIT, uLOG2_10, uLOG2_E, uMAX_SD59x18, uMAX_WHOLE_SD59x18, uMIN_SD59x18, uMIN_WHOLE_SD59x18, UNIT, uUNIT, uUNIT_SQUARED, ZERO } from "./Constants.sol"; import { wrap } from "./Helpers.sol"; import { SD59x18 } from "./ValueType.sol"; /// @notice Calculates the absolute value of x. /// /// @dev Requirements: /// - x must be greater than `MIN_SD59x18`. /// /// @param x The SD59x18 number for which to calculate the absolute value. /// @param result The absolute value of x as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function abs(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt == uMIN_SD59x18) { revert Errors.PRBMath_SD59x18_Abs_MinSD59x18(); } result = xInt < 0 ? wrap(-xInt) : x; } /// @notice Calculates the arithmetic average of x and y. /// /// @dev Notes: /// - The result is rounded toward zero. /// /// @param x The first operand as an SD59x18 number. /// @param y The second operand as an SD59x18 number. /// @return result The arithmetic average as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function avg(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); int256 yInt = y.unwrap(); unchecked { // This operation is equivalent to `x / 2 + y / 2`, and it can never overflow. int256 sum = (xInt >> 1) + (yInt >> 1); if (sum < 0) { // If at least one of x and y is odd, add 1 to the result, because shifting negative numbers to the right // rounds toward negative infinity. The right part is equivalent to `sum + (x % 2 == 1 || y % 2 == 1)`. assembly ("memory-safe") { result := add(sum, and(or(xInt, yInt), 1)) } } else { // Add 1 if both x and y are odd to account for the double 0.5 remainder truncated after shifting. result = wrap(sum + (xInt & yInt & 1)); } } } /// @notice Yields the smallest whole number greater than or equal to x. /// /// @dev Optimized for fractional value inputs, because every whole value has (1e18 - 1) fractional counterparts. /// See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// /// Requirements: /// - x must be less than or equal to `MAX_WHOLE_SD59x18`. /// /// @param x The SD59x18 number to ceil. /// @param result The smallest whole number greater than or equal to x, as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function ceil(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt > uMAX_WHOLE_SD59x18) { revert Errors.PRBMath_SD59x18_Ceil_Overflow(x); } int256 remainder = xInt % uUNIT; if (remainder == 0) { result = x; } else { unchecked { // Solidity uses C fmod style, which returns a modulus with the same sign as x. int256 resultInt = xInt - remainder; if (xInt > 0) { resultInt += uUNIT; } result = wrap(resultInt); } } } /// @notice Divides two SD59x18 numbers, returning a new SD59x18 number. /// /// @dev This is an extension of {Common.mulDiv} for signed numbers, which works by computing the signs and the absolute /// values separately. /// /// Notes: /// - Refer to the notes in {Common.mulDiv}. /// - The result is rounded toward zero. /// /// Requirements: /// - Refer to the requirements in {Common.mulDiv}. /// - None of the inputs can be `MIN_SD59x18`. /// - The denominator must not be zero. /// - The result must fit in SD59x18. /// /// @param x The numerator as an SD59x18 number. /// @param y The denominator as an SD59x18 number. /// @param result The quotient as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function div(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); int256 yInt = y.unwrap(); if (xInt == uMIN_SD59x18 || yInt == uMIN_SD59x18) { revert Errors.PRBMath_SD59x18_Div_InputTooSmall(); } // Get hold of the absolute values of x and y. uint256 xAbs; uint256 yAbs; unchecked { xAbs = xInt < 0 ? uint256(-xInt) : uint256(xInt); yAbs = yInt < 0 ? uint256(-yInt) : uint256(yInt); } // Compute the absolute value (x*UNIT÷y). The resulting value must fit in SD59x18. uint256 resultAbs = Common.mulDiv(xAbs, uint256(uUNIT), yAbs); if (resultAbs > uint256(uMAX_SD59x18)) { revert Errors.PRBMath_SD59x18_Div_Overflow(x, y); } // Check if x and y have the same sign using two's complement representation. The left-most bit represents the sign (1 for // negative, 0 for positive or zero). bool sameSign = (xInt ^ yInt) > -1; // If the inputs have the same sign, the result should be positive. Otherwise, it should be negative. unchecked { result = wrap(sameSign ? int256(resultAbs) : -int256(resultAbs)); } } /// @notice Calculates the natural exponent of x using the following formula: /// /// $$ /// e^x = 2^{x * log_2{e}} /// $$ /// /// @dev Notes: /// - Refer to the notes in {exp2}. /// /// Requirements: /// - Refer to the requirements in {exp2}. /// - x must be less than 133_084258667509499441. /// /// @param x The exponent as an SD59x18 number. /// @return result The result as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function exp(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); // This check prevents values greater than 192e18 from being passed to {exp2}. if (xInt > uEXP_MAX_INPUT) { revert Errors.PRBMath_SD59x18_Exp_InputTooBig(x); } unchecked { // Inline the fixed-point multiplication to save gas. int256 doubleUnitProduct = xInt * uLOG2_E; result = exp2(wrap(doubleUnitProduct / uUNIT)); } } /// @notice Calculates the binary exponent of x using the binary fraction method using the following formula: /// /// $$ /// 2^{-x} = \frac{1}{2^x} /// $$ /// /// @dev See https://ethereum.stackexchange.com/q/79903/24693. /// /// Notes: /// - If x is less than -59_794705707972522261, the result is zero. /// /// Requirements: /// - x must be less than 192e18. /// - The result must fit in SD59x18. /// /// @param x The exponent as an SD59x18 number. /// @return result The result as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function exp2(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt < 0) { // The inverse of any number less than this is truncated to zero. if (xInt < -59_794705707972522261) { return ZERO; } unchecked { // Inline the fixed-point inversion to save gas. result = wrap(uUNIT_SQUARED / exp2(wrap(-xInt)).unwrap()); } } else { // Numbers greater than or equal to 192e18 don't fit in the 192.64-bit format. if (xInt > uEXP2_MAX_INPUT) { revert Errors.PRBMath_SD59x18_Exp2_InputTooBig(x); } unchecked { // Convert x to the 192.64-bit fixed-point format. uint256 x_192x64 = uint256((xInt << 64) / uUNIT); // It is safe to cast the result to int256 due to the checks above. result = wrap(int256(Common.exp2(x_192x64))); } } } /// @notice Yields the greatest whole number less than or equal to x. /// /// @dev Optimized for fractional value inputs, because for every whole value there are (1e18 - 1) fractional /// counterparts. See https://en.wikipedia.org/wiki/Floor_and_ceiling_functions. /// /// Requirements: /// - x must be greater than or equal to `MIN_WHOLE_SD59x18`. /// /// @param x The SD59x18 number to floor. /// @param result The greatest whole number less than or equal to x, as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function floor(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt < uMIN_WHOLE_SD59x18) { revert Errors.PRBMath_SD59x18_Floor_Underflow(x); } int256 remainder = xInt % uUNIT; if (remainder == 0) { result = x; } else { unchecked { // Solidity uses C fmod style, which returns a modulus with the same sign as x. int256 resultInt = xInt - remainder; if (xInt < 0) { resultInt -= uUNIT; } result = wrap(resultInt); } } } /// @notice Yields the excess beyond the floor of x for positive numbers and the part of the number to the right. /// of the radix point for negative numbers. /// @dev Based on the odd function definition. https://en.wikipedia.org/wiki/Fractional_part /// @param x The SD59x18 number to get the fractional part of. /// @param result The fractional part of x as an SD59x18 number. function frac(SD59x18 x) pure returns (SD59x18 result) { result = wrap(x.unwrap() % uUNIT); } /// @notice Calculates the geometric mean of x and y, i.e. $\sqrt{x * y}$. /// /// @dev Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - x * y must fit in SD59x18. /// - x * y must not be negative, since complex numbers are not supported. /// /// @param x The first operand as an SD59x18 number. /// @param y The second operand as an SD59x18 number. /// @return result The result as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function gm(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); int256 yInt = y.unwrap(); if (xInt == 0 || yInt == 0) { return ZERO; } unchecked { // Equivalent to `xy / x != y`. Checking for overflow this way is faster than letting Solidity do it. int256 xyInt = xInt * yInt; if (xyInt / xInt != yInt) { revert Errors.PRBMath_SD59x18_Gm_Overflow(x, y); } // The product must not be negative, since complex numbers are not supported. if (xyInt < 0) { revert Errors.PRBMath_SD59x18_Gm_NegativeProduct(x, y); } // We don't need to multiply the result by `UNIT` here because the x*y product picked up a factor of `UNIT` // during multiplication. See the comments in {Common.sqrt}. uint256 resultUint = Common.sqrt(uint256(xyInt)); result = wrap(int256(resultUint)); } } /// @notice Calculates the inverse of x. /// /// @dev Notes: /// - The result is rounded toward zero. /// /// Requirements: /// - x must not be zero. /// /// @param x The SD59x18 number for which to calculate the inverse. /// @return result The inverse as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function inv(SD59x18 x) pure returns (SD59x18 result) { result = wrap(uUNIT_SQUARED / x.unwrap()); } /// @notice Calculates the natural logarithm of x using the following formula: /// /// $$ /// ln{x} = log_2{x} / log_2{e} /// $$ /// /// @dev Notes: /// - Refer to the notes in {log2}. /// - The precision isn't sufficiently fine-grained to return exactly `UNIT` when the input is `E`. /// /// Requirements: /// - Refer to the requirements in {log2}. /// /// @param x The SD59x18 number for which to calculate the natural logarithm. /// @return result The natural logarithm as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function ln(SD59x18 x) pure returns (SD59x18 result) { // Inline the fixed-point multiplication to save gas. This is overflow-safe because the maximum value that // {log2} can return is ~195_205294292027477728. result = wrap(log2(x).unwrap() * uUNIT / uLOG2_E); } /// @notice Calculates the common logarithm of x using the following formula: /// /// $$ /// log_{10}{x} = log_2{x} / log_2{10} /// $$ /// /// However, if x is an exact power of ten, a hard coded value is returned. /// /// @dev Notes: /// - Refer to the notes in {log2}. /// /// Requirements: /// - Refer to the requirements in {log2}. /// /// @param x The SD59x18 number for which to calculate the common logarithm. /// @return result The common logarithm as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function log10(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt < 0) { revert Errors.PRBMath_SD59x18_Log_InputTooSmall(x); } // Note that the `mul` in this block is the standard multiplication operation, not {SD59x18.mul}. // prettier-ignore assembly ("memory-safe") { switch x case 1 { result := mul(uUNIT, sub(0, 18)) } case 10 { result := mul(uUNIT, sub(1, 18)) } case 100 { result := mul(uUNIT, sub(2, 18)) } case 1000 { result := mul(uUNIT, sub(3, 18)) } case 10000 { result := mul(uUNIT, sub(4, 18)) } case 100000 { result := mul(uUNIT, sub(5, 18)) } case 1000000 { result := mul(uUNIT, sub(6, 18)) } case 10000000 { result := mul(uUNIT, sub(7, 18)) } case 100000000 { result := mul(uUNIT, sub(8, 18)) } case 1000000000 { result := mul(uUNIT, sub(9, 18)) } case 10000000000 { result := mul(uUNIT, sub(10, 18)) } case 100000000000 { result := mul(uUNIT, sub(11, 18)) } case 1000000000000 { result := mul(uUNIT, sub(12, 18)) } case 10000000000000 { result := mul(uUNIT, sub(13, 18)) } case 100000000000000 { result := mul(uUNIT, sub(14, 18)) } case 1000000000000000 { result := mul(uUNIT, sub(15, 18)) } case 10000000000000000 { result := mul(uUNIT, sub(16, 18)) } case 100000000000000000 { result := mul(uUNIT, sub(17, 18)) } case 1000000000000000000 { result := 0 } case 10000000000000000000 { result := uUNIT } case 100000000000000000000 { result := mul(uUNIT, 2) } case 1000000000000000000000 { result := mul(uUNIT, 3) } case 10000000000000000000000 { result := mul(uUNIT, 4) } case 100000000000000000000000 { result := mul(uUNIT, 5) } case 1000000000000000000000000 { result := mul(uUNIT, 6) } case 10000000000000000000000000 { result := mul(uUNIT, 7) } case 100000000000000000000000000 { result := mul(uUNIT, 8) } case 1000000000000000000000000000 { result := mul(uUNIT, 9) } case 10000000000000000000000000000 { result := mul(uUNIT, 10) } case 100000000000000000000000000000 { result := mul(uUNIT, 11) } case 1000000000000000000000000000000 { result := mul(uUNIT, 12) } case 10000000000000000000000000000000 { result := mul(uUNIT, 13) } case 100000000000000000000000000000000 { result := mul(uUNIT, 14) } case 1000000000000000000000000000000000 { result := mul(uUNIT, 15) } case 10000000000000000000000000000000000 { result := mul(uUNIT, 16) } case 100000000000000000000000000000000000 { result := mul(uUNIT, 17) } case 1000000000000000000000000000000000000 { result := mul(uUNIT, 18) } case 10000000000000000000000000000000000000 { result := mul(uUNIT, 19) } case 100000000000000000000000000000000000000 { result := mul(uUNIT, 20) } case 1000000000000000000000000000000000000000 { result := mul(uUNIT, 21) } case 10000000000000000000000000000000000000000 { result := mul(uUNIT, 22) } case 100000000000000000000000000000000000000000 { result := mul(uUNIT, 23) } case 1000000000000000000000000000000000000000000 { result := mul(uUNIT, 24) } case 10000000000000000000000000000000000000000000 { result := mul(uUNIT, 25) } case 100000000000000000000000000000000000000000000 { result := mul(uUNIT, 26) } case 1000000000000000000000000000000000000000000000 { result := mul(uUNIT, 27) } case 10000000000000000000000000000000000000000000000 { result := mul(uUNIT, 28) } case 100000000000000000000000000000000000000000000000 { result := mul(uUNIT, 29) } case 1000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 30) } case 10000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 31) } case 100000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 32) } case 1000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 33) } case 10000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 34) } case 100000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 35) } case 1000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 36) } case 10000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 37) } case 100000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 38) } case 1000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 39) } case 10000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 40) } case 100000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 41) } case 1000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 42) } case 10000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 43) } case 100000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 44) } case 1000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 45) } case 10000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 46) } case 100000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 47) } case 1000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 48) } case 10000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 49) } case 100000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 50) } case 1000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 51) } case 10000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 52) } case 100000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 53) } case 1000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 54) } case 10000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 55) } case 100000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 56) } case 1000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 57) } case 10000000000000000000000000000000000000000000000000000000000000000000000000000 { result := mul(uUNIT, 58) } default { result := uMAX_SD59x18 } } if (result.unwrap() == uMAX_SD59x18) { unchecked { // Inline the fixed-point division to save gas. result = wrap(log2(x).unwrap() * uUNIT / uLOG2_10); } } } /// @notice Calculates the binary logarithm of x using the iterative approximation algorithm: /// /// $$ /// log_2{x} = n + log_2{y}, \text{ where } y = x*2^{-n}, \ y \in [1, 2) /// $$ /// /// For $0 \leq x \lt 1$, the input is inverted: /// /// $$ /// log_2{x} = -log_2{\frac{1}{x}} /// $$ /// /// @dev See https://en.wikipedia.org/wiki/Binary_logarithm#Iterative_approximation. /// /// Notes: /// - Due to the lossy precision of the iterative approximation, the results are not perfectly accurate to the last decimal. /// /// Requirements: /// - x must be greater than zero. /// /// @param x The SD59x18 number for which to calculate the binary logarithm. /// @return result The binary logarithm as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function log2(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt <= 0) { revert Errors.PRBMath_SD59x18_Log_InputTooSmall(x); } unchecked { int256 sign; if (xInt >= uUNIT) { sign = 1; } else { sign = -1; // Inline the fixed-point inversion to save gas. xInt = uUNIT_SQUARED / xInt; } // Calculate the integer part of the logarithm. uint256 n = Common.msb(uint256(xInt / uUNIT)); // This is the integer part of the logarithm as an SD59x18 number. The operation can't overflow // because n is at most 255, `UNIT` is 1e18, and the sign is either 1 or -1. int256 resultInt = int256(n) * uUNIT; // Calculate $y = x * 2^{-n}$. int256 y = xInt >> n; // If y is the unit number, the fractional part is zero. if (y == uUNIT) { return wrap(resultInt * sign); } // Calculate the fractional part via the iterative approximation. // The `delta >>= 1` part is equivalent to `delta /= 2`, but shifting bits is more gas efficient. int256 DOUBLE_UNIT = 2e18; for (int256 delta = uHALF_UNIT; delta > 0; delta >>= 1) { y = (y * y) / uUNIT; // Is y^2 >= 2e18 and so in the range [2e18, 4e18)? if (y >= DOUBLE_UNIT) { // Add the 2^{-m} factor to the logarithm. resultInt = resultInt + delta; // Halve y, which corresponds to z/2 in the Wikipedia article. y >>= 1; } } resultInt *= sign; result = wrap(resultInt); } } /// @notice Multiplies two SD59x18 numbers together, returning a new SD59x18 number. /// /// @dev Notes: /// - Refer to the notes in {Common.mulDiv18}. /// /// Requirements: /// - Refer to the requirements in {Common.mulDiv18}. /// - None of the inputs can be `MIN_SD59x18`. /// - The result must fit in SD59x18. /// /// @param x The multiplicand as an SD59x18 number. /// @param y The multiplier as an SD59x18 number. /// @return result The product as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function mul(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); int256 yInt = y.unwrap(); if (xInt == uMIN_SD59x18 || yInt == uMIN_SD59x18) { revert Errors.PRBMath_SD59x18_Mul_InputTooSmall(); } // Get hold of the absolute values of x and y. uint256 xAbs; uint256 yAbs; unchecked { xAbs = xInt < 0 ? uint256(-xInt) : uint256(xInt); yAbs = yInt < 0 ? uint256(-yInt) : uint256(yInt); } // Compute the absolute value (x*y÷UNIT). The resulting value must fit in SD59x18. uint256 resultAbs = Common.mulDiv18(xAbs, yAbs); if (resultAbs > uint256(uMAX_SD59x18)) { revert Errors.PRBMath_SD59x18_Mul_Overflow(x, y); } // Check if x and y have the same sign using two's complement representation. The left-most bit represents the sign (1 for // negative, 0 for positive or zero). bool sameSign = (xInt ^ yInt) > -1; // If the inputs have the same sign, the result should be positive. Otherwise, it should be negative. unchecked { result = wrap(sameSign ? int256(resultAbs) : -int256(resultAbs)); } } /// @notice Raises x to the power of y using the following formula: /// /// $$ /// x^y = 2^{log_2{x} * y} /// $$ /// /// @dev Notes: /// - Refer to the notes in {exp2}, {log2}, and {mul}. /// - Returns `UNIT` for 0^0. /// /// Requirements: /// - Refer to the requirements in {exp2}, {log2}, and {mul}. /// /// @param x The base as an SD59x18 number. /// @param y Exponent to raise x to, as an SD59x18 number /// @return result x raised to power y, as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function pow(SD59x18 x, SD59x18 y) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); int256 yInt = y.unwrap(); // If both x and y are zero, the result is `UNIT`. If just x is zero, the result is always zero. if (xInt == 0) { return yInt == 0 ? UNIT : ZERO; } // If x is `UNIT`, the result is always `UNIT`. else if (xInt == uUNIT) { return UNIT; } // If y is zero, the result is always `UNIT`. if (yInt == 0) { return UNIT; } // If y is `UNIT`, the result is always x. else if (yInt == uUNIT) { return x; } // Calculate the result using the formula. result = exp2(mul(log2(x), y)); } /// @notice Raises x (an SD59x18 number) to the power y (an unsigned basic integer) using the well-known /// algorithm "exponentiation by squaring". /// /// @dev See https://en.wikipedia.org/wiki/Exponentiation_by_squaring. /// /// Notes: /// - Refer to the notes in {Common.mulDiv18}. /// - Returns `UNIT` for 0^0. /// /// Requirements: /// - Refer to the requirements in {abs} and {Common.mulDiv18}. /// - The result must fit in SD59x18. /// /// @param x The base as an SD59x18 number. /// @param y The exponent as a uint256. /// @return result The result as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function powu(SD59x18 x, uint256 y) pure returns (SD59x18 result) { uint256 xAbs = uint256(abs(x).unwrap()); // Calculate the first iteration of the loop in advance. uint256 resultAbs = y & 1 > 0 ? xAbs : uint256(uUNIT); // Equivalent to `for(y /= 2; y > 0; y /= 2)`. uint256 yAux = y; for (yAux >>= 1; yAux > 0; yAux >>= 1) { xAbs = Common.mulDiv18(xAbs, xAbs); // Equivalent to `y % 2 == 1`. if (yAux & 1 > 0) { resultAbs = Common.mulDiv18(resultAbs, xAbs); } } // The result must fit in SD59x18. if (resultAbs > uint256(uMAX_SD59x18)) { revert Errors.PRBMath_SD59x18_Powu_Overflow(x, y); } unchecked { // Is the base negative and the exponent odd? If yes, the result should be negative. int256 resultInt = int256(resultAbs); bool isNegative = x.unwrap() < 0 && y & 1 == 1; if (isNegative) { resultInt = -resultInt; } result = wrap(resultInt); } } /// @notice Calculates the square root of x using the Babylonian method. /// /// @dev See https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Babylonian_method. /// /// Notes: /// - Only the positive root is returned. /// - The result is rounded toward zero. /// /// Requirements: /// - x cannot be negative, since complex numbers are not supported. /// - x must be less than `MAX_SD59x18 / UNIT`. /// /// @param x The SD59x18 number for which to calculate the square root. /// @return result The result as an SD59x18 number. /// @custom:smtchecker abstract-function-nondet function sqrt(SD59x18 x) pure returns (SD59x18 result) { int256 xInt = x.unwrap(); if (xInt < 0) { revert Errors.PRBMath_SD59x18_Sqrt_NegativeInput(x); } if (xInt > uMAX_SD59x18 / uUNIT) { revert Errors.PRBMath_SD59x18_Sqrt_Overflow(x); } unchecked { // Multiply x by `UNIT` to account for the factor of `UNIT` picked up when multiplying two SD59x18 numbers. // In this case, the two numbers are both the square root. uint256 resultUint = Common.sqrt(uint256(xInt * uUNIT)); result = wrap(int256(resultUint)); } }
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { SD1x18 } from "./ValueType.sol"; /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in UD2x18. error PRBMath_SD1x18_ToUD2x18_Underflow(SD1x18 x); /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in UD60x18. error PRBMath_SD1x18_ToUD60x18_Underflow(SD1x18 x); /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in uint128. error PRBMath_SD1x18_ToUint128_Underflow(SD1x18 x); /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in uint256. error PRBMath_SD1x18_ToUint256_Underflow(SD1x18 x); /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in uint40. error PRBMath_SD1x18_ToUint40_Overflow(SD1x18 x); /// @notice Thrown when trying to cast a SD1x18 number that doesn't fit in uint40. error PRBMath_SD1x18_ToUint40_Underflow(SD1x18 x);
// SPDX-License-Identifier: MIT pragma solidity >=0.8.19; import { SD59x18 } from "./ValueType.sol"; /// @notice Thrown when taking the absolute value of `MIN_SD59x18`. error PRBMath_SD59x18_Abs_MinSD59x18(); /// @notice Thrown when ceiling a number overflows SD59x18. error PRBMath_SD59x18_Ceil_Overflow(SD59x18 x); /// @notice Thrown when converting a basic integer to the fixed-point format overflows SD59x18. error PRBMath_SD59x18_Convert_Overflow(int256 x); /// @notice Thrown when converting a basic integer to the fixed-point format underflows SD59x18. error PRBMath_SD59x18_Convert_Underflow(int256 x); /// @notice Thrown when dividing two numbers and one of them is `MIN_SD59x18`. error PRBMath_SD59x18_Div_InputTooSmall(); /// @notice Thrown when dividing two numbers and one of the intermediary unsigned results overflows SD59x18. error PRBMath_SD59x18_Div_Overflow(SD59x18 x, SD59x18 y); /// @notice Thrown when taking the natural exponent of a base greater than 133_084258667509499441. error PRBMath_SD59x18_Exp_InputTooBig(SD59x18 x); /// @notice Thrown when taking the binary exponent of a base greater than 192e18. error PRBMath_SD59x18_Exp2_InputTooBig(SD59x18 x); /// @notice Thrown when flooring a number underflows SD59x18. error PRBMath_SD59x18_Floor_Underflow(SD59x18 x); /// @notice Thrown when taking the geometric mean of two numbers and their product is negative. error PRBMath_SD59x18_Gm_NegativeProduct(SD59x18 x, SD59x18 y); /// @notice Thrown when taking the geometric mean of two numbers and multiplying them overflows SD59x18. error PRBMath_SD59x18_Gm_Overflow(SD59x18 x, SD59x18 y); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD1x18. error PRBMath_SD59x18_IntoSD1x18_Overflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in SD1x18. error PRBMath_SD59x18_IntoSD1x18_Underflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD2x18. error PRBMath_SD59x18_IntoUD2x18_Overflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD2x18. error PRBMath_SD59x18_IntoUD2x18_Underflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in UD60x18. error PRBMath_SD59x18_IntoUD60x18_Underflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint128. error PRBMath_SD59x18_IntoUint128_Overflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint128. error PRBMath_SD59x18_IntoUint128_Underflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint256. error PRBMath_SD59x18_IntoUint256_Underflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint40. error PRBMath_SD59x18_IntoUint40_Overflow(SD59x18 x); /// @notice Thrown when trying to cast a UD60x18 number that doesn't fit in uint40. error PRBMath_SD59x18_IntoUint40_Underflow(SD59x18 x); /// @notice Thrown when taking the logarithm of a number less than or equal to zero. error PRBMath_SD59x18_Log_InputTooSmall(SD59x18 x); /// @notice Thrown when multiplying two numbers and one of the inputs is `MIN_SD59x18`. error PRBMath_SD59x18_Mul_InputTooSmall(); /// @notice Thrown when multiplying two numbers and the intermediary absolute result overflows SD59x18. error PRBMath_SD59x18_Mul_Overflow(SD59x18 x, SD59x18 y); /// @notice Thrown when raising a number to a power and the intermediary absolute result overflows SD59x18. error PRBMath_SD59x18_Powu_Overflow(SD59x18 x, uint256 y); /// @notice Thrown when taking the square root of a negative number. error PRBMath_SD59x18_Sqrt_NegativeInput(SD59x18 x); /// @notice Thrown when the calculating the square root overflows SD59x18. error PRBMath_SD59x18_Sqrt_Overflow(SD59x18 x);
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Contract Security Audit
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[{"inputs":[{"internalType":"contract IERC721Metadata","name":"nft","type":"address"},{"internalType":"string","name":"symbol","type":"string"}],"name":"SablierV2NFTDescriptor_UnknownNFT","type":"error"},{"inputs":[{"internalType":"contract IERC721Metadata","name":"sablier","type":"address"},{"internalType":"uint256","name":"streamId","type":"uint256"}],"name":"tokenURI","outputs":[{"internalType":"string","name":"uri","type":"string"}],"stateMutability":"view","type":"function"}]
Contract Creation Code
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Multichain Portfolio | 30 Chains
Chain | Token | Portfolio % | Price | Amount | Value |
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A contract address hosts a smart contract, which is a set of code stored on the blockchain that runs when predetermined conditions are met. Learn more about addresses in our Knowledge Base.