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…-contracts Modularize `contracts` package
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// SPDX-License-Identifier: MIT | ||
pragma solidity ^0.8.4; | ||
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import {PoseidonT3} from "poseidon-solidity/PoseidonT3.sol"; | ||
import {InternalBinaryIMT, BinaryIMTData} from "./internal/InternalBinaryIMT.sol"; | ||
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// Each incremental tree has certain properties and data that will | ||
// be used to add new leaves. | ||
struct BinaryIMTData { | ||
uint256 depth; // Depth of the tree (levels - 1). | ||
uint256 root; // Root hash of the tree. | ||
uint256 numberOfLeaves; // Number of leaves of the tree. | ||
mapping(uint256 => uint256) zeroes; // Zero hashes used for empty nodes (level -> zero hash). | ||
// The nodes of the subtrees used in the last addition of a leaf (level -> [left node, right node]). | ||
mapping(uint256 => uint256[2]) lastSubtrees; // Caching these values is essential to efficient appends. | ||
bool useDefaultZeroes; | ||
} | ||
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error ValueGreaterThanSnarkScalarField(); | ||
error DepthNotSupported(); | ||
error WrongDefaultZeroIndex(); | ||
error TreeIsFull(); | ||
error NewLeafCannotEqualOldLeaf(); | ||
error LeafDoesNotExist(); | ||
error LeafIndexOutOfRange(); | ||
error WrongMerkleProofPath(); | ||
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/// @title Incremental binary Merkle tree. | ||
/// @dev The incremental tree allows to calculate the root hash each time a leaf is added, ensuring | ||
/// the integrity of the tree. | ||
library BinaryIMT { | ||
uint8 public constant MAX_DEPTH = 32; | ||
uint256 public constant SNARK_SCALAR_FIELD = | ||
21888242871839275222246405745257275088548364400416034343698204186575808495617; | ||
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uint256 public constant Z_0 = 0; | ||
uint256 public constant Z_1 = 14744269619966411208579211824598458697587494354926760081771325075741142829156; | ||
uint256 public constant Z_2 = 7423237065226347324353380772367382631490014989348495481811164164159255474657; | ||
uint256 public constant Z_3 = 11286972368698509976183087595462810875513684078608517520839298933882497716792; | ||
uint256 public constant Z_4 = 3607627140608796879659380071776844901612302623152076817094415224584923813162; | ||
uint256 public constant Z_5 = 19712377064642672829441595136074946683621277828620209496774504837737984048981; | ||
uint256 public constant Z_6 = 20775607673010627194014556968476266066927294572720319469184847051418138353016; | ||
uint256 public constant Z_7 = 3396914609616007258851405644437304192397291162432396347162513310381425243293; | ||
uint256 public constant Z_8 = 21551820661461729022865262380882070649935529853313286572328683688269863701601; | ||
uint256 public constant Z_9 = 6573136701248752079028194407151022595060682063033565181951145966236778420039; | ||
uint256 public constant Z_10 = 12413880268183407374852357075976609371175688755676981206018884971008854919922; | ||
uint256 public constant Z_11 = 14271763308400718165336499097156975241954733520325982997864342600795471836726; | ||
uint256 public constant Z_12 = 20066985985293572387227381049700832219069292839614107140851619262827735677018; | ||
uint256 public constant Z_13 = 9394776414966240069580838672673694685292165040808226440647796406499139370960; | ||
uint256 public constant Z_14 = 11331146992410411304059858900317123658895005918277453009197229807340014528524; | ||
uint256 public constant Z_15 = 15819538789928229930262697811477882737253464456578333862691129291651619515538; | ||
uint256 public constant Z_16 = 19217088683336594659449020493828377907203207941212636669271704950158751593251; | ||
uint256 public constant Z_17 = 21035245323335827719745544373081896983162834604456827698288649288827293579666; | ||
uint256 public constant Z_18 = 6939770416153240137322503476966641397417391950902474480970945462551409848591; | ||
uint256 public constant Z_19 = 10941962436777715901943463195175331263348098796018438960955633645115732864202; | ||
uint256 public constant Z_20 = 15019797232609675441998260052101280400536945603062888308240081994073687793470; | ||
uint256 public constant Z_21 = 11702828337982203149177882813338547876343922920234831094975924378932809409969; | ||
uint256 public constant Z_22 = 11217067736778784455593535811108456786943573747466706329920902520905755780395; | ||
uint256 public constant Z_23 = 16072238744996205792852194127671441602062027943016727953216607508365787157389; | ||
uint256 public constant Z_24 = 17681057402012993898104192736393849603097507831571622013521167331642182653248; | ||
uint256 public constant Z_25 = 21694045479371014653083846597424257852691458318143380497809004364947786214945; | ||
uint256 public constant Z_26 = 8163447297445169709687354538480474434591144168767135863541048304198280615192; | ||
uint256 public constant Z_27 = 14081762237856300239452543304351251708585712948734528663957353575674639038357; | ||
uint256 public constant Z_28 = 16619959921569409661790279042024627172199214148318086837362003702249041851090; | ||
uint256 public constant Z_29 = 7022159125197495734384997711896547675021391130223237843255817587255104160365; | ||
uint256 public constant Z_30 = 4114686047564160449611603615418567457008101555090703535405891656262658644463; | ||
uint256 public constant Z_31 = 12549363297364877722388257367377629555213421373705596078299904496781819142130; | ||
uint256 public constant Z_32 = 21443572485391568159800782191812935835534334817699172242223315142338162256601; | ||
using InternalBinaryIMT for *; | ||
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function defaultZero(uint256 index) public pure returns (uint256) { | ||
if (index == 0) return Z_0; | ||
if (index == 1) return Z_1; | ||
if (index == 2) return Z_2; | ||
if (index == 3) return Z_3; | ||
if (index == 4) return Z_4; | ||
if (index == 5) return Z_5; | ||
if (index == 6) return Z_6; | ||
if (index == 7) return Z_7; | ||
if (index == 8) return Z_8; | ||
if (index == 9) return Z_9; | ||
if (index == 10) return Z_10; | ||
if (index == 11) return Z_11; | ||
if (index == 12) return Z_12; | ||
if (index == 13) return Z_13; | ||
if (index == 14) return Z_14; | ||
if (index == 15) return Z_15; | ||
if (index == 16) return Z_16; | ||
if (index == 17) return Z_17; | ||
if (index == 18) return Z_18; | ||
if (index == 19) return Z_19; | ||
if (index == 20) return Z_20; | ||
if (index == 21) return Z_21; | ||
if (index == 22) return Z_22; | ||
if (index == 23) return Z_23; | ||
if (index == 24) return Z_24; | ||
if (index == 25) return Z_25; | ||
if (index == 26) return Z_26; | ||
if (index == 27) return Z_27; | ||
if (index == 28) return Z_28; | ||
if (index == 29) return Z_29; | ||
if (index == 30) return Z_30; | ||
if (index == 31) return Z_31; | ||
if (index == 32) return Z_32; | ||
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revert WrongDefaultZeroIndex(); | ||
return InternalBinaryIMT._defaultZero(index); | ||
} | ||
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/// @dev Initializes a tree. | ||
/// @param self: Tree data. | ||
/// @param depth: Depth of the tree. | ||
/// @param zero: Zero value to be used. | ||
function init(BinaryIMTData storage self, uint256 depth, uint256 zero) public { | ||
if (zero >= SNARK_SCALAR_FIELD) { | ||
revert ValueGreaterThanSnarkScalarField(); | ||
} else if (depth <= 0 || depth > MAX_DEPTH) { | ||
revert DepthNotSupported(); | ||
} | ||
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self.depth = depth; | ||
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for (uint8 i = 0; i < depth; ) { | ||
self.zeroes[i] = zero; | ||
zero = PoseidonT3.hash([zero, zero]); | ||
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unchecked { | ||
++i; | ||
} | ||
} | ||
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self.root = zero; | ||
InternalBinaryIMT._init(self, depth, zero); | ||
} | ||
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function initWithDefaultZeroes(BinaryIMTData storage self, uint256 depth) public { | ||
if (depth <= 0 || depth > MAX_DEPTH) { | ||
revert DepthNotSupported(); | ||
} | ||
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self.depth = depth; | ||
self.useDefaultZeroes = true; | ||
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self.root = defaultZero(depth); | ||
InternalBinaryIMT._initWithDefaultZeroes(self, depth); | ||
} | ||
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/// @dev Inserts a leaf in the tree. | ||
/// @param self: Tree data. | ||
/// @param leaf: Leaf to be inserted. | ||
function insert(BinaryIMTData storage self, uint256 leaf) public returns (uint256) { | ||
uint256 depth = self.depth; | ||
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if (leaf >= SNARK_SCALAR_FIELD) { | ||
revert ValueGreaterThanSnarkScalarField(); | ||
} else if (self.numberOfLeaves >= 2 ** depth) { | ||
revert TreeIsFull(); | ||
} | ||
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uint256 index = self.numberOfLeaves; | ||
uint256 hash = leaf; | ||
bool useDefaultZeroes = self.useDefaultZeroes; | ||
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for (uint8 i = 0; i < depth; ) { | ||
if (index & 1 == 0) { | ||
self.lastSubtrees[i] = [hash, useDefaultZeroes ? defaultZero(i) : self.zeroes[i]]; | ||
} else { | ||
self.lastSubtrees[i][1] = hash; | ||
} | ||
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hash = PoseidonT3.hash(self.lastSubtrees[i]); | ||
index >>= 1; | ||
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unchecked { | ||
++i; | ||
} | ||
} | ||
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self.root = hash; | ||
self.numberOfLeaves += 1; | ||
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return hash; | ||
return InternalBinaryIMT._insert(self, leaf); | ||
} | ||
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/// @dev Updates a leaf in the tree. | ||
/// @param self: Tree data. | ||
/// @param leaf: Leaf to be updated. | ||
/// @param newLeaf: New leaf. | ||
/// @param proofSiblings: Array of the sibling nodes of the proof of membership. | ||
/// @param proofPathIndices: Path of the proof of membership. | ||
function update( | ||
BinaryIMTData storage self, | ||
uint256 leaf, | ||
uint256 newLeaf, | ||
uint256[] calldata proofSiblings, | ||
uint8[] calldata proofPathIndices | ||
) public { | ||
if (newLeaf == leaf) { | ||
revert NewLeafCannotEqualOldLeaf(); | ||
} else if (newLeaf >= SNARK_SCALAR_FIELD) { | ||
revert ValueGreaterThanSnarkScalarField(); | ||
} else if (!verify(self, leaf, proofSiblings, proofPathIndices)) { | ||
revert LeafDoesNotExist(); | ||
} | ||
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uint256 depth = self.depth; | ||
uint256 hash = newLeaf; | ||
uint256 updateIndex; | ||
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for (uint8 i = 0; i < depth; ) { | ||
updateIndex |= uint256(proofPathIndices[i]) << uint256(i); | ||
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if (proofPathIndices[i] == 0) { | ||
if (proofSiblings[i] == self.lastSubtrees[i][1]) { | ||
self.lastSubtrees[i][0] = hash; | ||
} | ||
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hash = PoseidonT3.hash([hash, proofSiblings[i]]); | ||
} else { | ||
if (proofSiblings[i] == self.lastSubtrees[i][0]) { | ||
self.lastSubtrees[i][1] = hash; | ||
} | ||
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hash = PoseidonT3.hash([proofSiblings[i], hash]); | ||
} | ||
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unchecked { | ||
++i; | ||
} | ||
} | ||
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if (updateIndex >= self.numberOfLeaves) { | ||
revert LeafIndexOutOfRange(); | ||
} | ||
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self.root = hash; | ||
InternalBinaryIMT._update(self, leaf, newLeaf, proofSiblings, proofPathIndices); | ||
} | ||
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/// @dev Removes a leaf from the tree. | ||
/// @param self: Tree data. | ||
/// @param leaf: Leaf to be removed. | ||
/// @param proofSiblings: Array of the sibling nodes of the proof of membership. | ||
/// @param proofPathIndices: Path of the proof of membership. | ||
function remove( | ||
BinaryIMTData storage self, | ||
uint256 leaf, | ||
uint256[] calldata proofSiblings, | ||
uint8[] calldata proofPathIndices | ||
) public { | ||
update(self, leaf, self.useDefaultZeroes ? Z_0 : self.zeroes[0], proofSiblings, proofPathIndices); | ||
InternalBinaryIMT._remove(self, leaf, proofSiblings, proofPathIndices); | ||
} | ||
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/// @dev Verify if the path is correct and the leaf is part of the tree. | ||
/// @param self: Tree data. | ||
/// @param leaf: Leaf to be removed. | ||
/// @param proofSiblings: Array of the sibling nodes of the proof of membership. | ||
/// @param proofPathIndices: Path of the proof of membership. | ||
/// @return True or false. | ||
function verify( | ||
BinaryIMTData storage self, | ||
uint256 leaf, | ||
uint256[] calldata proofSiblings, | ||
uint8[] calldata proofPathIndices | ||
) private view returns (bool) { | ||
uint256 depth = self.depth; | ||
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if (leaf >= SNARK_SCALAR_FIELD) { | ||
revert ValueGreaterThanSnarkScalarField(); | ||
} else if (proofPathIndices.length != depth || proofSiblings.length != depth) { | ||
revert WrongMerkleProofPath(); | ||
} | ||
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uint256 hash = leaf; | ||
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for (uint8 i = 0; i < depth; ) { | ||
if (proofSiblings[i] >= SNARK_SCALAR_FIELD) { | ||
revert ValueGreaterThanSnarkScalarField(); | ||
} else if (proofPathIndices[i] != 1 && proofPathIndices[i] != 0) { | ||
revert WrongMerkleProofPath(); | ||
} | ||
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if (proofPathIndices[i] == 0) { | ||
hash = PoseidonT3.hash([hash, proofSiblings[i]]); | ||
} else { | ||
hash = PoseidonT3.hash([proofSiblings[i], hash]); | ||
} | ||
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unchecked { | ||
++i; | ||
} | ||
} | ||
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return hash == self.root; | ||
return InternalBinaryIMT._verify(self, leaf, proofSiblings, proofPathIndices); | ||
} | ||
} |
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// SPDX-License-Identifier: UNLICENSED | ||
pragma solidity ^0.8.4; | ||
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uint256 constant SNARK_SCALAR_FIELD = 21888242871839275222246405745257275088548364400416034343698204186575808495617; | ||
uint8 constant MAX_DEPTH = 32; |
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