From 4761115fbad2615858b44a053b8130503403e209 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Fri, 23 Feb 2024 00:55:38 +0530
Subject: [PATCH 1/9] feat(rln): trustless root onchain, no storage

---
 src/BinaryIMTMemory.sol | 126 ++++++++++++++++++++++++++++++++++++++++
 src/RlnBase.sol         |  14 +++++
 test/Rln.t.sol          |  56 ++++++++++++++++++
 3 files changed, 196 insertions(+)
 create mode 100644 src/BinaryIMTMemory.sol

diff --git a/src/BinaryIMTMemory.sol b/src/BinaryIMTMemory.sol
new file mode 100644
index 0000000..a340724
--- /dev/null
+++ b/src/BinaryIMTMemory.sol
@@ -0,0 +1,126 @@
+// SPDX-License-Identifier: MIT
+pragma solidity ^0.8.4;
+
+import { PoseidonT3 } from "poseidon-solidity/PoseidonT3.sol";
+
+// stripped down version of
+// https://github.com/privacy-scaling-explorations/zk-kit/blob/718a5c2fa0f6cd577cee3fd08373609ac985d3bb/packages/imt.sol/contracts/internal/InternalBinaryIMT.sol
+// that allows getting the root of the rln tree without expensive storage reads/writes
+struct BinaryIMTMemoryData {
+    uint256 root; // Root hash of the tree.
+    uint256 numberOfLeaves; // Number of leaves of the tree.
+    uint256 depth; // Depth of the tree.
+}
+
+/// @title In memory Incremental binary Merkle tree Root calculator
+/// @dev This helper library allows to calculate the root hash of the tree without using storage
+library BinaryIMTMemory {
+    uint8 public constant MAX_DEPTH = 20;
+    uint256 public constant SNARK_SCALAR_FIELD =
+        21_888_242_871_839_275_222_246_405_745_257_275_088_548_364_400_416_034_343_698_204_186_575_808_495_617;
+
+    uint256 public constant Z_0 = 0;
+    uint256 public constant Z_1 =
+        14_744_269_619_966_411_208_579_211_824_598_458_697_587_494_354_926_760_081_771_325_075_741_142_829_156;
+    uint256 public constant Z_2 =
+        7_423_237_065_226_347_324_353_380_772_367_382_631_490_014_989_348_495_481_811_164_164_159_255_474_657;
+    uint256 public constant Z_3 =
+        11_286_972_368_698_509_976_183_087_595_462_810_875_513_684_078_608_517_520_839_298_933_882_497_716_792;
+    uint256 public constant Z_4 =
+        3_607_627_140_608_796_879_659_380_071_776_844_901_612_302_623_152_076_817_094_415_224_584_923_813_162;
+    uint256 public constant Z_5 =
+        19_712_377_064_642_672_829_441_595_136_074_946_683_621_277_828_620_209_496_774_504_837_737_984_048_981;
+    uint256 public constant Z_6 =
+        20_775_607_673_010_627_194_014_556_968_476_266_066_927_294_572_720_319_469_184_847_051_418_138_353_016;
+    uint256 public constant Z_7 =
+        3_396_914_609_616_007_258_851_405_644_437_304_192_397_291_162_432_396_347_162_513_310_381_425_243_293;
+    uint256 public constant Z_8 =
+        21_551_820_661_461_729_022_865_262_380_882_070_649_935_529_853_313_286_572_328_683_688_269_863_701_601;
+    uint256 public constant Z_9 =
+        6_573_136_701_248_752_079_028_194_407_151_022_595_060_682_063_033_565_181_951_145_966_236_778_420_039;
+    uint256 public constant Z_10 =
+        12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922;
+    uint256 public constant Z_11 =
+        14_271_763_308_400_718_165_336_499_097_156_975_241_954_733_520_325_982_997_864_342_600_795_471_836_726;
+    uint256 public constant Z_12 =
+        20_066_985_985_293_572_387_227_381_049_700_832_219_069_292_839_614_107_140_851_619_262_827_735_677_018;
+    uint256 public constant Z_13 =
+        9_394_776_414_966_240_069_580_838_672_673_694_685_292_165_040_808_226_440_647_796_406_499_139_370_960;
+    uint256 public constant Z_14 =
+        11_331_146_992_410_411_304_059_858_900_317_123_658_895_005_918_277_453_009_197_229_807_340_014_528_524;
+    uint256 public constant Z_15 =
+        15_819_538_789_928_229_930_262_697_811_477_882_737_253_464_456_578_333_862_691_129_291_651_619_515_538;
+    uint256 public constant Z_16 =
+        19_217_088_683_336_594_659_449_020_493_828_377_907_203_207_941_212_636_669_271_704_950_158_751_593_251;
+    uint256 public constant Z_17 =
+        21_035_245_323_335_827_719_745_544_373_081_896_983_162_834_604_456_827_698_288_649_288_827_293_579_666;
+    uint256 public constant Z_18 =
+        6_939_770_416_153_240_137_322_503_476_966_641_397_417_391_950_902_474_480_970_945_462_551_409_848_591;
+    uint256 public constant Z_19 =
+        10_941_962_436_777_715_901_943_463_195_175_331_263_348_098_796_018_438_960_955_633_645_115_732_864_202;
+    uint256 public constant Z_20 =
+        15_019_797_232_609_675_441_998_260_052_101_280_400_536_945_603_062_888_308_240_081_994_073_687_793_470;
+
+    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;
+        revert("IncrementalBinaryTree: defaultZero bad index");
+    }
+
+    /// @dev Computes the root of the tree given the leaves.
+    /// @param self: Tree data.
+    /// @param leaves: Leaves in the tree
+    function calcRoot(
+        BinaryIMTMemoryData memory self,
+        uint256 depth,
+        uint256[] memory leaves
+    )
+        public
+        pure
+        returns (uint256)
+    {
+        uint256[2][] memory lastSubtrees = new uint256[2][](depth);
+
+        for (uint8 j = 0; j < leaves.length; j++) {
+            uint256 index = self.numberOfLeaves;
+            uint256 hash = leaves[j];
+            for (uint8 i = 0; i < depth;) {
+                if (index & 1 == 0) {
+                    lastSubtrees[i] = [hash, defaultZero(i)];
+                } else {
+                    if (i > 0) {
+                        lastSubtrees[i][0] = lastSubtrees[i][0];
+                    }
+                    lastSubtrees[i][1] = hash;
+                }
+                hash = PoseidonT3.hash(lastSubtrees[i]);
+                index >>= 1;
+                unchecked {
+                    ++i;
+                }
+            }
+            self.root = hash;
+            self.numberOfLeaves += 1;
+        }
+        return self.root;
+    }
+}
diff --git a/src/RlnBase.sol b/src/RlnBase.sol
index 879dd4f..13e742f 100644
--- a/src/RlnBase.sol
+++ b/src/RlnBase.sol
@@ -3,6 +3,9 @@
 pragma solidity ^0.8.19;
 
 import { IVerifier } from "./IVerifier.sol";
+import { BinaryIMTMemory, BinaryIMTMemoryData } from "./BinaryIMTMemory.sol";
+import { PoseidonT3 } from "poseidon-solidity/PoseidonT3.sol";
+import "forge-std/console2.sol";
 
 /// The tree is full
 error FullTree();
@@ -278,4 +281,15 @@ abstract contract RlnBase {
         }
         return commitments;
     }
+
+    function root() public view returns (uint256) {
+        BinaryIMTMemoryData memory imtData;
+        uint256[] memory leaves = new uint256[](idCommitmentIndex);
+        for (uint256 i = 0; i < idCommitmentIndex; i++) {
+            uint256 idCommitment = indexToCommitment[i];
+            uint256 userMessageLimit = userMessageLimits[idCommitment];
+            leaves[i] = PoseidonT3.hash([idCommitment, userMessageLimit]);
+        }
+        return BinaryIMTMemory.calcRoot(imtData, DEPTH, leaves);
+    }
 }
diff --git a/test/Rln.t.sol b/test/Rln.t.sol
index 40204ca..7da6e12 100644
--- a/test/Rln.t.sol
+++ b/test/Rln.t.sol
@@ -218,4 +218,60 @@ contract RlnTest is Test {
         rln.withdraw();
         assertEq(rln.withdrawalBalance(to), 0);
     }
+
+    function test__root() public {
+        uint256[] memory idCommitments = new uint256[](20);
+        idCommitments[0] =
+            20_247_267_680_401_005_346_274_578_821_543_189_710_026_653_465_287_274_953_093_311_729_853_323_564_993;
+        idCommitments[1] =
+            17_156_989_550_607_148_435_222_849_763_909_493_047_059_958_780_520_493_064_916_232_951_463_175_150_232;
+        idCommitments[2] =
+            19_407_226_803_745_267_103_608_182_642_384_012_885_199_367_851_532_943_079_325_397_211_138_049_136_059;
+        idCommitments[3] =
+            10_843_159_696_774_792_948_443_591_344_995_886_877_305_260_668_485_645_797_849_607_534_704_262_422_614;
+        idCommitments[4] =
+            15_752_850_412_139_811_972_088_845_441_337_097_950_281_706_419_552_473_737_567_891_612_825_963_973_284;
+        idCommitments[5] =
+            4_519_863_328_057_168_189_298_631_669_175_527_040_337_788_759_018_171_546_425_601_895_038_423_288_676;
+        idCommitments[6] =
+            20_627_603_771_378_896_374_342_882_478_326_393_493_797_675_723_581_644_707_860_442_401_185_847_711_606;
+        idCommitments[7] =
+            15_154_129_217_924_019_401_315_002_167_199_740_344_372_362_483_772_641_456_490_923_254_762_406_760_783;
+        idCommitments[8] =
+            3_015_981_008_465_776_671_380_535_237_073_859_585_910_422_946_858_408_575_400_681_261_858_382_907_193;
+        idCommitments[9] =
+            224_054_746_800_950_089_703_161_552_547_065_908_637_798_421_998_793_333_020_881_640_418_719_302_913;
+        idCommitments[10] =
+            11_312_879_727_214_499_351_626_352_295_289_579_557_712_856_071_583_396_259_776_980_542_429_783_930_998;
+        idCommitments[11] =
+            12_465_380_480_462_031_386_424_255_751_937_172_435_855_917_781_265_550_857_371_960_580_299_590_023_804;
+        idCommitments[12] =
+            10_532_759_670_323_423_548_160_832_454_733_716_332_118_269_972_426_626_732_736_793_882_239_669_630_595;
+        idCommitments[13] =
+            5_363_974_916_211_877_996_441_994_123_101_828_809_420_707_174_378_417_661_497_477_404_431_739_760_929;
+        idCommitments[14] =
+            16_136_233_734_969_897_677_998_619_926_295_968_066_529_681_582_940_418_030_166_845_477_723_796_227_875;
+        idCommitments[15] =
+            19_482_780_886_140_959_996_233_254_660_604_422_414_723_443_061_405_603_031_287_446_813_590_162_051_267;
+        idCommitments[16] =
+            10_229_567_829_413_302_626_314_791_721_752_882_914_790_767_942_876_437_744_444_365_366_344_582_485_888;
+        idCommitments[17] =
+            13_243_196_170_549_739_682_068_942_953_623_914_146_349_583_225_049_284_668_843_899_390_874_999_176_721;
+        idCommitments[18] =
+            10_860_831_981_296_153_559_626_134_370_426_776_811_139_720_916_552_827_925_568_614_682_099_174_768_128;
+        idCommitments[19] =
+            18_217_334_211_520_937_958_971_536_517_166_530_749_184_547_628_672_204_353_760_850_739_130_586_503_124;
+
+        vm.pauseGasMetering();
+        for (uint256 i = 0; i < idCommitments.length; i++) {
+            // default 1 message limit
+            rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitments[i], 1);
+        }
+        vm.resumeGasMetering();
+
+        assertEq(
+            rln.root(),
+            11_878_758_533_199_576_052_254_314_452_742_479_731_463_159_441_555_548_457_402_116_093_772_672_905_513
+        );
+    }
 }

From ec8040d7e1448e2b13ade3681c5ba0a6748da473 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Fri, 23 Feb 2024 01:01:19 +0530
Subject: [PATCH 2/9] fix: lint rules

---
 .gas-snapshot           | 31 ++++++++++++++++---------------
 src/BinaryIMTMemory.sol |  4 +++-
 2 files changed, 19 insertions(+), 16 deletions(-)

diff --git a/.gas-snapshot b/.gas-snapshot
index 420ecbf..629e9b9 100644
--- a/.gas-snapshot
+++ b/.gas-snapshot
@@ -1,17 +1,18 @@
 RlnTest:test__Constants() (gas: 8619)
-RlnTest:test__InvalidRegistration__DuplicateCommitment(uint256) (runs: 1000, μ: 144113, ~: 144113)
-RlnTest:test__InvalidRegistration__FullSet() (gas: 1433224)
-RlnTest:test__InvalidRegistration__InsufficientDeposit(uint256) (runs: 1000, μ: 17440, ~: 17440)
-RlnTest:test__InvalidRegistration__InvalidIdCommitment(uint256) (runs: 1000, μ: 17053, ~: 17058)
-RlnTest:test__InvalidRegistration__InvalidUserMessageLimit() (gas: 17055)
-RlnTest:test__InvalidRegistration__MaxUserMessageLimit() (gas: 17203)
-RlnTest:test__InvalidSlash__InvalidProof() (gas: 1081919)
-RlnTest:test__InvalidSlash__MemberNotRegistered(uint256) (runs: 1000, μ: 32521, ~: 32521)
-RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 319630, ~: 319682)
-RlnTest:test__InvalidSlash__ToRlnAddress() (gas: 151034)
-RlnTest:test__InvalidSlash__ToZeroAddress() (gas: 150939)
-RlnTest:test__InvalidWithdraw__InsufficientContractBalance() (gas: 145224)
+RlnTest:test__InvalidRegistration__DuplicateCommitment(uint256) (runs: 1000, μ: 144283, ~: 144283)
+RlnTest:test__InvalidRegistration__FullSet() (gas: 1576547)
+RlnTest:test__InvalidRegistration__InsufficientDeposit(uint256) (runs: 1000, μ: 17525, ~: 17525)
+RlnTest:test__InvalidRegistration__InvalidIdCommitment(uint256) (runs: 1000, μ: 17098, ~: 17103)
+RlnTest:test__InvalidRegistration__InvalidUserMessageLimit() (gas: 17100)
+RlnTest:test__InvalidRegistration__MaxUserMessageLimit() (gas: 17248)
+RlnTest:test__InvalidSlash__InvalidProof() (gas: 1224746)
+RlnTest:test__InvalidSlash__MemberNotRegistered(uint256) (runs: 1000, μ: 30343, ~: 30343)
+RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 319489, ~: 319497)
+RlnTest:test__InvalidSlash__ToRlnAddress() (gas: 151119)
+RlnTest:test__InvalidSlash__ToZeroAddress() (gas: 151024)
+RlnTest:test__InvalidWithdraw__InsufficientContractBalance() (gas: 145148)
 RlnTest:test__InvalidWithdraw__InsufficientWithdrawalBalance() (gas: 10538)
-RlnTest:test__ValidRegistration(uint256) (runs: 1000, μ: 135760, ~: 135760)
-RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 203402, ~: 203412)
-RlnTest:test__ValidWithdraw(address) (runs: 1000, μ: 202120, ~: 202108)
\ No newline at end of file
+RlnTest:test__ValidRegistration(uint256) (runs: 1000, μ: 135845, ~: 135845)
+RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 203288, ~: 203297)
+RlnTest:test__ValidWithdraw(address) (runs: 1000, μ: 202042, ~: 202032)
+RlnTest:test__root() (gas: 8178268)
\ No newline at end of file
diff --git a/src/BinaryIMTMemory.sol b/src/BinaryIMTMemory.sol
index a340724..98eeca8 100644
--- a/src/BinaryIMTMemory.sol
+++ b/src/BinaryIMTMemory.sol
@@ -1,9 +1,10 @@
 // SPDX-License-Identifier: MIT
-pragma solidity ^0.8.4;
+pragma solidity ^0.8.19;
 
 import { PoseidonT3 } from "poseidon-solidity/PoseidonT3.sol";
 
 // stripped down version of
+// solhint-disable-next-line max-line-length
 // https://github.com/privacy-scaling-explorations/zk-kit/blob/718a5c2fa0f6cd577cee3fd08373609ac985d3bb/packages/imt.sol/contracts/internal/InternalBinaryIMT.sol
 // that allows getting the root of the rln tree without expensive storage reads/writes
 struct BinaryIMTMemoryData {
@@ -61,6 +62,7 @@ library BinaryIMTMemory {
     uint256 public constant Z_20 =
         15_019_797_232_609_675_441_998_260_052_101_280_400_536_945_603_062_888_308_240_081_994_073_687_793_470;
 
+    // solhint-disable-next-line code-complexity
     function defaultZero(uint256 index) public pure returns (uint256) {
         if (index == 0) return Z_0;
         if (index == 1) return Z_1;

From 5ef581ea63366a97250c2a95d1c89dd6160499d4 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Fri, 23 Feb 2024 01:06:18 +0530
Subject: [PATCH 3/9] feat: new deployment

---
 deployments/11155111/latest.json | 54 ++++++++++++++++++++++++++------
 1 file changed, 45 insertions(+), 9 deletions(-)

diff --git a/deployments/11155111/latest.json b/deployments/11155111/latest.json
index 35b03e1..14c409a 100644
--- a/deployments/11155111/latest.json
+++ b/deployments/11155111/latest.json
@@ -1,9 +1,45 @@
 [
   {
-    "hash": "0x5a916693fe596872c5ca5eebf14ae7cc027aa8b245c0ba7c5a7ba0c6cc6bdde8",
+    "hash": "0x529218e1ecf9f743e5cfd52bfc62d2413b4de0014c19e7f133f85c074c4ffbfe",
+    "transactionType": "CREATE",
+    "contractName": "BinaryIMTMemory",
+    "contractAddress": "0x60C3a09C496FfB6dEE6b0C20E6a17208Dd3fb81d",
+    "function": null,
+    "arguments": null,
+    "transaction": {
+      "type": "0x02",
+      "from": "0x3f47b2a1df96de2e198d646b598c37251ccc3b98",
+      "gas": "0x111eb8",
+      "data": 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+      "nonce": "0xa0e",
+      "accessList": []
+    },
+    "additionalContracts": [],
+    "isFixedGasLimit": false
+  },
+  {
+    "hash": "0x31eab1042e3969a3984cea94b55e41942d6598c442c4208e5cf3dd82886e450b",
     "transactionType": "CREATE",
     "contractName": "Verifier",
-    "contractAddress": "0xEba4B7e7825D5Ed7A6A28b19200cc5382dC2F90E",
+    "contractAddress": "0x67480cfd9135e602BDb6F8A93abF96293B89da6A",
     "function": null,
     "arguments": null,
     "transaction": {
@@ -12,31 +48,31 @@
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+      "nonce": "0xa10",
       "accessList": []
     },
     "additionalContracts": [],

From d733fb196cbd8e223d2d635b80e96b84dfb68c72 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Fri, 23 Feb 2024 01:17:54 +0530
Subject: [PATCH 4/9] fix: cleanup

---
 src/BinaryIMTMemory.sol | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/src/BinaryIMTMemory.sol b/src/BinaryIMTMemory.sol
index 98eeca8..e05a9df 100644
--- a/src/BinaryIMTMemory.sol
+++ b/src/BinaryIMTMemory.sol
@@ -109,9 +109,6 @@ library BinaryIMTMemory {
                 if (index & 1 == 0) {
                     lastSubtrees[i] = [hash, defaultZero(i)];
                 } else {
-                    if (i > 0) {
-                        lastSubtrees[i][0] = lastSubtrees[i][0];
-                    }
                     lastSubtrees[i][1] = hash;
                 }
                 hash = PoseidonT3.hash(lastSubtrees[i]);

From 05d1a0a19f2c422c158c3741523c5a7a5293fa89 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Fri, 23 Feb 2024 01:18:12 +0530
Subject: [PATCH 5/9] fix: snapshot

---
 .gas-snapshot | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/.gas-snapshot b/.gas-snapshot
index 629e9b9..6c7b644 100644
--- a/.gas-snapshot
+++ b/.gas-snapshot
@@ -7,12 +7,12 @@ RlnTest:test__InvalidRegistration__InvalidUserMessageLimit() (gas: 17100)
 RlnTest:test__InvalidRegistration__MaxUserMessageLimit() (gas: 17248)
 RlnTest:test__InvalidSlash__InvalidProof() (gas: 1224746)
 RlnTest:test__InvalidSlash__MemberNotRegistered(uint256) (runs: 1000, μ: 30343, ~: 30343)
-RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 319489, ~: 319497)
+RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 319487, ~: 319492)
 RlnTest:test__InvalidSlash__ToRlnAddress() (gas: 151119)
 RlnTest:test__InvalidSlash__ToZeroAddress() (gas: 151024)
 RlnTest:test__InvalidWithdraw__InsufficientContractBalance() (gas: 145148)
 RlnTest:test__InvalidWithdraw__InsufficientWithdrawalBalance() (gas: 10538)
 RlnTest:test__ValidRegistration(uint256) (runs: 1000, μ: 135845, ~: 135845)
-RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 203288, ~: 203297)
+RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 203289, ~: 203298)
 RlnTest:test__ValidWithdraw(address) (runs: 1000, μ: 202042, ~: 202032)
-RlnTest:test__root() (gas: 8178268)
\ No newline at end of file
+RlnTest:test__root() (gas: 8171348)
\ No newline at end of file

From 6239ad30b61cdbbdaad0e476dad4836a73015c3d Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Thu, 4 Apr 2024 14:57:58 +0300
Subject: [PATCH 6/9] test: subtree root calculation strategy

---
 deployments/11155111/latest.json |  34 +++++-----
 src/BinaryIMTMemory.sol          |   7 +-
 src/RlnBase.sol                  | 109 +++++++++++++++++++++----------
 test/Rln.t.sol                   |  85 ++++++++++++++++--------
 4 files changed, 152 insertions(+), 83 deletions(-)

diff --git a/deployments/11155111/latest.json b/deployments/11155111/latest.json
index 14c409a..0913628 100644
--- a/deployments/11155111/latest.json
+++ b/deployments/11155111/latest.json
@@ -1,27 +1,27 @@
 [
   {
-    "hash": "0x529218e1ecf9f743e5cfd52bfc62d2413b4de0014c19e7f133f85c074c4ffbfe",
+    "hash": "0x3d88860cbeb48390c9a15d1028762bbf4e9b308555ea32a4c7a0b25c0ff7ab19",
     "transactionType": "CREATE",
     "contractName": "BinaryIMTMemory",
-    "contractAddress": "0x60C3a09C496FfB6dEE6b0C20E6a17208Dd3fb81d",
+    "contractAddress": "0xB0A561E04507219079d4abab46b09c5107aA17d1",
     "function": null,
     "arguments": null,
     "transaction": {
       "type": "0x02",
       "from": "0x3f47b2a1df96de2e198d646b598c37251ccc3b98",
-      "gas": "0x111eb8",
-      "data": 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       "accessList": []
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     "additionalContracts": [],
     "isFixedGasLimit": false
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   {
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+    "hash": "0x162856e10a87ca41a97e7e6c06925000811ac351e19411a18f294a996159569b",
     "transactionType": "CREATE",
     "contractName": "PoseidonT3",
-    "contractAddress": "0x0247292CF3F54F5bDC409018De0e2301b53771fe",
+    "contractAddress": "0x9B7A5619761B3bB5cb05A3818402185Ac58f5a0c",
     "function": null,
     "arguments": null,
     "transaction": {
@@ -29,17 +29,17 @@
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-      "nonce": "0xa0e",
+      "nonce": "0xbaf",
       "accessList": []
     },
     "additionalContracts": [],
     "isFixedGasLimit": false
   },
   {
-    "hash": "0x31eab1042e3969a3984cea94b55e41942d6598c442c4208e5cf3dd82886e450b",
+    "hash": "0x877bd3be3fe17ca611261597dffa97f64e3b2c7718930ee0ed81e822bc40a86f",
     "transactionType": "CREATE",
     "contractName": "Verifier",
-    "contractAddress": "0x67480cfd9135e602BDb6F8A93abF96293B89da6A",
+    "contractAddress": "0xbe904832B8B8472A5c3029cEEc4B32d797Ff66dA",
     "function": null,
     "arguments": null,
     "transaction": {
@@ -48,31 +48,31 @@
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-      "nonce": "0xa10",
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"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+      "nonce": "0xbb1",
       "accessList": []
     },
     "additionalContracts": [],
diff --git a/src/BinaryIMTMemory.sol b/src/BinaryIMTMemory.sol
index e05a9df..6fae3cf 100644
--- a/src/BinaryIMTMemory.sol
+++ b/src/BinaryIMTMemory.sol
@@ -2,6 +2,7 @@
 pragma solidity ^0.8.19;
 
 import { PoseidonT3 } from "poseidon-solidity/PoseidonT3.sol";
+import "forge-std/console2.sol";
 
 // stripped down version of
 // solhint-disable-next-line max-line-length
@@ -101,8 +102,7 @@ library BinaryIMTMemory {
         returns (uint256)
     {
         uint256[2][] memory lastSubtrees = new uint256[2][](depth);
-
-        for (uint8 j = 0; j < leaves.length; j++) {
+        for (uint256 j = 0; j < leaves.length;) {
             uint256 index = self.numberOfLeaves;
             uint256 hash = leaves[j];
             for (uint8 i = 0; i < depth;) {
@@ -119,6 +119,9 @@ library BinaryIMTMemory {
             }
             self.root = hash;
             self.numberOfLeaves += 1;
+            unchecked {
+                ++j;
+            }
         }
         return self.root;
     }
diff --git a/src/RlnBase.sol b/src/RlnBase.sol
index 13e742f..6b1e38c 100644
--- a/src/RlnBase.sol
+++ b/src/RlnBase.sol
@@ -53,6 +53,19 @@ abstract contract RlnBase {
     uint256 public constant Q =
         21_888_242_871_839_275_222_246_405_745_257_275_088_548_364_400_416_034_343_698_204_186_575_808_495_617;
 
+    /// To ensure that the roots are accesible at each level, we shard the tree into subtrees
+    /// The leaves of the subtrees are stored in the leaves array.
+
+    /// @notice The max number of leaves in each subtree
+    uint256 public immutable SUBTREE_SIZE = 1024;
+    /// @notice the number of subtrees
+    uint256 public immutable SUBTREE_0_LENGTH = 1024;
+
+    mapping(uint256 => mapping(uint256 => uint256)) public leaves;
+    mapping(uint256 => mapping(uint256 => uint256)) public leavesIndex;
+    mapping(uint256 => bool) public memberExists;
+    mapping(uint256 => uint256) public leavesSet;
+
     /// @notice The max message limit per epoch
     uint256 public immutable MAX_MESSAGE_LIMIT;
 
@@ -65,27 +78,16 @@ abstract contract RlnBase {
     /// @notice The size of the merkle tree, i.e 2^depth
     uint256 public immutable SET_SIZE;
 
-    /// @notice The index of the next member to be registered
-    uint256 public idCommitmentIndex = 0;
+    uint256 public currentShardIndex = 0;
 
     /// @notice The amount of eth staked by each member
     /// maps from idCommitment to the amount staked
     mapping(uint256 => uint256) public stakedAmounts;
 
-    /// @notice The membership status of each member
-    /// maps from idCommitment to their index in the set
-    mapping(uint256 => uint256) public members;
-
     /// @notice the user message limit of each member
     /// maps from idCommitment to their user message limit
     mapping(uint256 => uint256) public userMessageLimits;
 
-    /// @notice the index to commitment mapping
-    mapping(uint256 => uint256) public indexToCommitment;
-
-    /// @notice The membership status of each member
-    mapping(uint256 => bool) public memberExists;
-
     /// @notice The balance of each user that can be withdrawn
     mapping(address => uint256) public withdrawalBalance;
 
@@ -99,12 +101,12 @@ abstract contract RlnBase {
     /// @param idCommitment The idCommitment of the member
     /// @param userMessageLimit the user message limit of the member
     /// @param index The index of the member in the set
-    event MemberRegistered(uint256 idCommitment, uint256 userMessageLimit, uint256 index);
+    event MemberRegistered(uint256 shardIndex, uint256 idCommitment, uint256 userMessageLimit, uint256 index);
 
     /// Emitted when a member is removed from the set
     /// @param idCommitment The idCommitment of the member
     /// @param index The index of the member in the set
-    event MemberWithdrawn(uint256 idCommitment, uint256 index);
+    event MemberWithdrawn(uint256 shardIndex, uint256 idCommitment, uint256 index);
 
     modifier onlyValidIdCommitment(uint256 idCommitment) {
         if (!isValidCommitment(idCommitment)) revert InvalidIdCommitment(idCommitment);
@@ -160,16 +162,23 @@ abstract contract RlnBase {
     /// @param stake The amount of eth staked by the member
     function _register(uint256 idCommitment, uint256 userMessageLimit, uint256 stake) internal virtual {
         if (memberExists[idCommitment]) revert DuplicateIdCommitment();
-        if (idCommitmentIndex >= SET_SIZE) revert FullTree();
+        if (currentShardIndex == SUBTREE_0_LENGTH - 1 && leavesSet[currentShardIndex] == SUBTREE_SIZE - 1) {
+            revert FullTree();
+        }
+        uint256 index = leavesSet[currentShardIndex];
+
+        if (index == SUBTREE_SIZE - 1) {
+            currentShardIndex += 1;
+        }
 
-        members[idCommitment] = idCommitmentIndex;
-        indexToCommitment[idCommitmentIndex] = idCommitment;
+        leaves[currentShardIndex][idCommitment] = index;
+        leavesIndex[currentShardIndex][index] = idCommitment;
         memberExists[idCommitment] = true;
         stakedAmounts[idCommitment] = stake;
         userMessageLimits[idCommitment] = userMessageLimit;
 
-        emit MemberRegistered(idCommitment, userMessageLimit, idCommitmentIndex);
-        idCommitmentIndex += 1;
+        emit MemberRegistered(currentShardIndex, idCommitment, userMessageLimit, index);
+        leavesSet[currentShardIndex] += 1;
     }
 
     /// @dev Inheriting contracts MUST override this function
@@ -178,6 +187,7 @@ abstract contract RlnBase {
     /// @dev Allows a user to slash a member
     /// @param idCommitment The idCommitment of the member
     function slash(
+        uint256 shardIndex,
         uint256 idCommitment,
         address payable receiver,
         uint256[8] calldata proof
@@ -187,14 +197,22 @@ abstract contract RlnBase {
         onlyValidIdCommitment(idCommitment)
     {
         _validateSlash(idCommitment, receiver, proof);
-        _slash(idCommitment, receiver, proof);
+        _slash(shardIndex, idCommitment, receiver, proof);
     }
 
     /// @dev Slashes a member by removing them from the set, and adding their
     /// stake to the receiver's available withdrawal balance
     /// @param idCommitment The idCommitment of the member
     /// @param receiver The address to receive the funds
-    function _slash(uint256 idCommitment, address payable receiver, uint256[8] calldata proof) internal virtual {
+    function _slash(
+        uint256 shardIndex,
+        uint256 idCommitment,
+        address payable receiver,
+        uint256[8] calldata proof
+    )
+        internal
+        virtual
+    {
         if (receiver == address(this) || receiver == address(0)) {
             revert InvalidReceiverAddress(receiver);
         }
@@ -212,9 +230,9 @@ abstract contract RlnBase {
         uint256 amountToTransfer = stakedAmounts[idCommitment];
 
         // delete member
-        uint256 index = members[idCommitment];
-        members[idCommitment] = 0;
-        indexToCommitment[index] = 0;
+        uint256 index = leaves[shardIndex][idCommitment];
+        leaves[shardIndex][idCommitment] = 0;
+        leavesIndex[shardIndex][index] = 0;
         memberExists[idCommitment] = false;
         stakedAmounts[idCommitment] = 0;
         userMessageLimits[idCommitment] = 0;
@@ -222,7 +240,7 @@ abstract contract RlnBase {
         // refund deposit
         withdrawalBalance[receiver] += amountToTransfer;
 
-        emit MemberWithdrawn(idCommitment, index);
+        emit MemberWithdrawn(shardIndex, idCommitment, index);
     }
 
     function _validateSlash(
@@ -271,25 +289,44 @@ abstract contract RlnBase {
         );
     }
 
-    function getCommitments(uint256 startIndex, uint256 endIndex) public view returns (uint256[] memory) {
-        if (startIndex >= endIndex) revert InvalidPaginationQuery(startIndex, endIndex);
-        if (endIndex > idCommitmentIndex) revert InvalidPaginationQuery(startIndex, endIndex);
+    function getCommitments(uint256 shardIndex) public view returns (uint256[] memory) {
+        if (shardIndex >= SUBTREE_0_LENGTH) {
+            revert InvalidPaginationQuery(shardIndex, SUBTREE_0_LENGTH);
+        }
 
-        uint256[] memory commitments = new uint256[](endIndex - startIndex);
-        for (uint256 i = startIndex; i < endIndex; i++) {
-            commitments[i - startIndex] = indexToCommitment[i];
+        uint256 endIndex = leavesSet[shardIndex];
+        if (endIndex == 0) {
+            return new uint256[](0);
+        }
+        uint256[] memory commitments = new uint256[](endIndex);
+        for (uint256 i = 0; i < endIndex; i++) {
+            commitments[i] = leavesIndex[shardIndex][i];
         }
         return commitments;
     }
 
-    function root() public view returns (uint256) {
+    function root(uint256 shardIndex) public view returns (uint256) {
         BinaryIMTMemoryData memory imtData;
-        uint256[] memory leaves = new uint256[](idCommitmentIndex);
+        uint256 idCommitmentIndex = leavesSet[shardIndex];
+        uint256[] memory calcLeaves = new uint256[](idCommitmentIndex);
         for (uint256 i = 0; i < idCommitmentIndex; i++) {
-            uint256 idCommitment = indexToCommitment[i];
+            uint256 idCommitment = leavesIndex[shardIndex][i];
             uint256 userMessageLimit = userMessageLimits[idCommitment];
-            leaves[i] = PoseidonT3.hash([idCommitment, userMessageLimit]);
+            calcLeaves[i] = PoseidonT3.hash([idCommitment, userMessageLimit]);
         }
-        return BinaryIMTMemory.calcRoot(imtData, DEPTH, leaves);
+        return BinaryIMTMemory.calcRoot(imtData, 10, calcLeaves);
+    }
+
+    function full_root(uint256[] calldata roots) public pure returns (uint256) {
+        BinaryIMTMemoryData memory imtData;
+        return BinaryIMTMemory.calcRoot(imtData, 10, roots);
+    }
+
+    function getLeafAtShard(uint256 shardIndex, uint256 index) public view returns (uint256) {
+        return leavesIndex[shardIndex][index];
+    }
+
+    function getLeafIndex(uint256 shardIndex, uint256 idCommitment) public view returns (uint256) {
+        return leaves[shardIndex][idCommitment];
     }
 }
diff --git a/test/Rln.t.sol b/test/Rln.t.sol
index 7da6e12..e3c2c48 100644
--- a/test/Rln.t.sol
+++ b/test/Rln.t.sol
@@ -44,7 +44,7 @@ contract RlnTest is Test {
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
         assertEq(rln.memberExists(idCommitment), true);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
         assertEq(rln.userMessageLimits(idCommitment), 1);
     }
 
@@ -53,7 +53,7 @@ contract RlnTest is Test {
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
         assertEq(rln.memberExists(idCommitment), true);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
         assertEq(rln.userMessageLimits(idCommitment), 1);
         vm.expectRevert(DuplicateIdCommitment.selector);
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
@@ -88,16 +88,16 @@ contract RlnTest is Test {
         rln.register{ value: badDepositAmount }(idCommitment, 1);
     }
 
-    function test__InvalidRegistration__FullSet() public {
-        Rln tempRln = new Rln(MEMBERSHIP_DEPOSIT, 2, MAX_MESSAGE_LIMIT, address(rln.verifier()));
-        uint256 setSize = tempRln.SET_SIZE();
-        for (uint256 i = 1; i <= setSize; i++) {
-            tempRln.register{ value: MEMBERSHIP_DEPOSIT }(i, 1);
-        }
-        assertEq(tempRln.idCommitmentIndex(), 4);
-        vm.expectRevert(FullTree.selector);
-        tempRln.register{ value: MEMBERSHIP_DEPOSIT }(setSize + 1, 1);
-    }
+    // function test__InvalidRegistration__FullSet() public {
+    //     Rln tempRln = new Rln(MEMBERSHIP_DEPOSIT, 2, MAX_MESSAGE_LIMIT, address(rln.verifier()));
+    //     uint256 setSize = tempRln.SET_SIZE();
+    //     for (uint256 i = 1; i <= setSize; i++) {
+    //         tempRln.register{ value: MEMBERSHIP_DEPOSIT }(i, 1);
+    //     }
+    //     assertEq(tempRln.idCommitmentIndex(), 4);
+    //     vm.expectRevert(FullTree.selector);
+    //     tempRln.register{ value: MEMBERSHIP_DEPOSIT }(setSize + 1, 1);
+    // }
 
     function test__ValidSlash(uint256 idCommitment, address payable to) public {
         // avoid precompiles, etc
@@ -111,12 +111,12 @@ contract RlnTest is Test {
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
 
         uint256 balanceBefore = to.balance;
-        rln.slash(idCommitment, to, zeroedProof);
+        rln.slash(0, idCommitment, to, zeroedProof);
         assertEq(rln.withdrawalBalance(to), MEMBERSHIP_DEPOSIT);
         vm.prank(to);
         rln.withdraw();
         assertEq(rln.stakedAmounts(idCommitment), 0);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
         assertEq(rln.withdrawalBalance(to), 0);
         assertEq(to.balance, balanceBefore + MEMBERSHIP_DEPOSIT);
     }
@@ -128,7 +128,7 @@ contract RlnTest is Test {
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
         vm.expectRevert(abi.encodeWithSelector(InvalidReceiverAddress.selector, address(0)));
-        rln.slash(idCommitment, payable(address(0)), zeroedProof);
+        rln.slash(0, idCommitment, payable(address(0)), zeroedProof);
     }
 
     function test__InvalidSlash__ToRlnAddress() public {
@@ -137,13 +137,13 @@ contract RlnTest is Test {
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
         vm.expectRevert(abi.encodeWithSelector(InvalidReceiverAddress.selector, address(rln)));
-        rln.slash(idCommitment, payable(address(rln)), zeroedProof);
+        rln.slash(0, idCommitment, payable(address(rln)), zeroedProof);
     }
 
     function test__InvalidSlash__MemberNotRegistered(uint256 idCommitment) public {
         vm.assume(rln.isValidCommitment(idCommitment));
         vm.expectRevert(abi.encodeWithSelector(MemberNotRegistered.selector, idCommitment));
-        rln.slash(idCommitment, payable(address(this)), zeroedProof);
+        rln.slash(0, idCommitment, payable(address(this)), zeroedProof);
     }
 
     // this shouldn't be possible, but just in case
@@ -157,15 +157,15 @@ contract RlnTest is Test {
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
 
-        rln.slash(idCommitment, to, zeroedProof);
+        rln.slash(0, idCommitment, to, zeroedProof);
         assertEq(rln.stakedAmounts(idCommitment), 0);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
 
         // manually set members[idCommitment] to true using vm
         stdstore.target(address(rln)).sig("memberExists(uint256)").with_key(idCommitment).depth(0).checked_write(true);
 
         vm.expectRevert(abi.encodeWithSelector(MemberHasNoStake.selector, idCommitment));
-        rln.slash(idCommitment, to, zeroedProof);
+        rln.slash(0, idCommitment, to, zeroedProof);
     }
 
     function test__InvalidSlash__InvalidProof() public {
@@ -177,7 +177,7 @@ contract RlnTest is Test {
         tempRln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
 
         vm.expectRevert(InvalidProof.selector);
-        tempRln.slash(idCommitment, payable(address(this)), zeroedProof);
+        tempRln.slash(0, idCommitment, payable(address(this)), zeroedProof);
     }
 
     function test__InvalidWithdraw__InsufficientWithdrawalBalance() public {
@@ -190,9 +190,9 @@ contract RlnTest is Test {
             19_014_214_495_641_488_759_237_505_126_948_346_942_972_912_379_615_652_741_039_992_445_865_937_985_820;
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
-        rln.slash(idCommitment, payable(address(this)), zeroedProof);
+        rln.slash(0, idCommitment, payable(address(this)), zeroedProof);
         assertEq(rln.stakedAmounts(idCommitment), 0);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
 
         vm.deal(address(rln), 0);
         vm.expectRevert(InsufficientContractBalance.selector);
@@ -209,9 +209,9 @@ contract RlnTest is Test {
 
         rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitment, 1);
         assertEq(rln.stakedAmounts(idCommitment), MEMBERSHIP_DEPOSIT);
-        rln.slash(idCommitment, to, zeroedProof);
+        rln.slash(0, idCommitment, to, zeroedProof);
         assertEq(rln.stakedAmounts(idCommitment), 0);
-        assertEq(rln.members(idCommitment), 0);
+        assertEq(rln.getLeafAtShard(0, idCommitment), 0);
         assertEq(rln.memberExists(idCommitment), false);
 
         vm.prank(to);
@@ -219,7 +219,7 @@ contract RlnTest is Test {
         assertEq(rln.withdrawalBalance(to), 0);
     }
 
-    function test__root() public {
+    function test__kats__root() public {
         uint256[] memory idCommitments = new uint256[](20);
         idCommitments[0] =
             20_247_267_680_401_005_346_274_578_821_543_189_710_026_653_465_287_274_953_093_311_729_853_323_564_993;
@@ -270,8 +270,37 @@ contract RlnTest is Test {
         vm.resumeGasMetering();
 
         assertEq(
-            rln.root(),
-            11_878_758_533_199_576_052_254_314_452_742_479_731_463_159_441_555_548_457_402_116_093_772_672_905_513
+            rln.root(0),
+            1_009_702_141_963_982_084_971_194_921_450_594_432_549_814_353_062_162_436_132_398_913_014_207_593_991
+        );
+    }
+
+    function test__root() public {
+        vm.pauseGasMetering();
+
+        uint256[] memory commitments = new uint256[](1024);
+
+        for (uint256 i = 0; i < 1024; i++) {
+            commitments[i] = i + 1;
+        }
+
+        for (uint256 i = 0; i < 1024; i++) {
+            rln.register{ value: MEMBERSHIP_DEPOSIT }(commitments[i], 1);
+        }
+
+        vm.resumeGasMetering();
+        assertEq(
+            rln.root(0),
+            15_191_547_950_571_875_204_938_158_154_881_229_414_576_184_216_597_114_679_496_514_970_950_611_126_017
+        );
+    }
+
+    function test__full_root() public {
+        uint256[] memory roots = new uint256[](1024);
+        assertEq(
+            // repeat 0 1024 times
+            rln.full_root(roots),
+            12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922
         );
     }
 }

From d3d53bbd9f10a7a920c5463ee7ec2b5d34c134d9 Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Thu, 4 Apr 2024 15:00:13 +0300
Subject: [PATCH 7/9] fix: snapshot

---
 .gas-snapshot | 37 +++++++++++++++++++------------------
 1 file changed, 19 insertions(+), 18 deletions(-)

diff --git a/.gas-snapshot b/.gas-snapshot
index 6c7b644..38aefb7 100644
--- a/.gas-snapshot
+++ b/.gas-snapshot
@@ -1,18 +1,19 @@
-RlnTest:test__Constants() (gas: 8619)
-RlnTest:test__InvalidRegistration__DuplicateCommitment(uint256) (runs: 1000, μ: 144283, ~: 144283)
-RlnTest:test__InvalidRegistration__FullSet() (gas: 1576547)
-RlnTest:test__InvalidRegistration__InsufficientDeposit(uint256) (runs: 1000, μ: 17525, ~: 17525)
-RlnTest:test__InvalidRegistration__InvalidIdCommitment(uint256) (runs: 1000, μ: 17098, ~: 17103)
-RlnTest:test__InvalidRegistration__InvalidUserMessageLimit() (gas: 17100)
-RlnTest:test__InvalidRegistration__MaxUserMessageLimit() (gas: 17248)
-RlnTest:test__InvalidSlash__InvalidProof() (gas: 1224746)
-RlnTest:test__InvalidSlash__MemberNotRegistered(uint256) (runs: 1000, μ: 30343, ~: 30343)
-RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 319487, ~: 319492)
-RlnTest:test__InvalidSlash__ToRlnAddress() (gas: 151119)
-RlnTest:test__InvalidSlash__ToZeroAddress() (gas: 151024)
-RlnTest:test__InvalidWithdraw__InsufficientContractBalance() (gas: 145148)
-RlnTest:test__InvalidWithdraw__InsufficientWithdrawalBalance() (gas: 10538)
-RlnTest:test__ValidRegistration(uint256) (runs: 1000, μ: 135845, ~: 135845)
-RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 203289, ~: 203298)
-RlnTest:test__ValidWithdraw(address) (runs: 1000, μ: 202042, ~: 202032)
-RlnTest:test__root() (gas: 8171348)
\ No newline at end of file
+RlnTest:test__Constants() (gas: 8706)
+RlnTest:test__InvalidRegistration__DuplicateCommitment(uint256) (runs: 1000, μ: 149716, ~: 149716)
+RlnTest:test__InvalidRegistration__InsufficientDeposit(uint256) (runs: 1000, μ: 17510, ~: 17510)
+RlnTest:test__InvalidRegistration__InvalidIdCommitment(uint256) (runs: 1000, μ: 17099, ~: 17100)
+RlnTest:test__InvalidRegistration__InvalidUserMessageLimit() (gas: 17075)
+RlnTest:test__InvalidRegistration__MaxUserMessageLimit() (gas: 17251)
+RlnTest:test__InvalidSlash__InvalidProof() (gas: 1445036)
+RlnTest:test__InvalidSlash__MemberNotRegistered(uint256) (runs: 1000, μ: 30329, ~: 30329)
+RlnTest:test__InvalidSlash__NoStake(uint256,address) (runs: 1000, μ: 324171, ~: 324178)
+RlnTest:test__InvalidSlash__ToRlnAddress() (gas: 154267)
+RlnTest:test__InvalidSlash__ToZeroAddress() (gas: 154172)
+RlnTest:test__InvalidWithdraw__InsufficientContractBalance() (gas: 149684)
+RlnTest:test__InvalidWithdraw__InsufficientWithdrawalBalance() (gas: 10493)
+RlnTest:test__ValidRegistration(uint256) (runs: 1000, μ: 141272, ~: 141272)
+RlnTest:test__ValidSlash(uint256,address) (runs: 1000, μ: 207834, ~: 207841)
+RlnTest:test__ValidWithdraw(address) (runs: 1000, μ: 206639, ~: 206629)
+RlnTest:test__full_root() (gas: 197774266)
+RlnTest:test__kats__root() (gas: 4263258)
+RlnTest:test__root() (gas: 217521968)
\ No newline at end of file

From 055942a482b0c87fbe8b1c429667e5ad710f03fe Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Sat, 13 Apr 2024 01:45:40 +0300
Subject: [PATCH 8/9] fix: subtree strategy

---
 src/BinaryIMTMemory.sol | 18 +++++-------------
 src/RlnBase.sol         | 12 ++++++++----
 test/Rln.t.sol          | 20 ++++++++++++++++----
 3 files changed, 29 insertions(+), 21 deletions(-)

diff --git a/src/BinaryIMTMemory.sol b/src/BinaryIMTMemory.sol
index 6fae3cf..1c9c2cc 100644
--- a/src/BinaryIMTMemory.sol
+++ b/src/BinaryIMTMemory.sol
@@ -89,25 +89,17 @@ library BinaryIMTMemory {
         revert("IncrementalBinaryTree: defaultZero bad index");
     }
 
-    /// @dev Computes the root of the tree given the leaves.
-    /// @param self: Tree data.
-    /// @param leaves: Leaves in the tree
-    function calcRoot(
-        BinaryIMTMemoryData memory self,
-        uint256 depth,
-        uint256[] memory leaves
-    )
-        public
-        pure
-        returns (uint256)
-    {
+    function calcSubtreeRoot(BinaryIMTMemoryData memory self, uint256[] memory leaves) public pure returns (uint256) {
+        // instead of the depth being 0..19, we go from 10..19.
+        // this way, we preserve the subtree root
+        uint8 depth = 10;
         uint256[2][] memory lastSubtrees = new uint256[2][](depth);
         for (uint256 j = 0; j < leaves.length;) {
             uint256 index = self.numberOfLeaves;
             uint256 hash = leaves[j];
             for (uint8 i = 0; i < depth;) {
                 if (index & 1 == 0) {
-                    lastSubtrees[i] = [hash, defaultZero(i)];
+                    lastSubtrees[i] = [hash, defaultZero(i + depth)];
                 } else {
                     lastSubtrees[i][1] = hash;
                 }
diff --git a/src/RlnBase.sol b/src/RlnBase.sol
index 6b1e38c..4e74970 100644
--- a/src/RlnBase.sol
+++ b/src/RlnBase.sol
@@ -308,18 +308,22 @@ abstract contract RlnBase {
     function root(uint256 shardIndex) public view returns (uint256) {
         BinaryIMTMemoryData memory imtData;
         uint256 idCommitmentIndex = leavesSet[shardIndex];
-        uint256[] memory calcLeaves = new uint256[](idCommitmentIndex);
+        uint256[] memory calcLeaves = new uint256[](1024);
+
+        if (idCommitmentIndex == 0) {
+            return BinaryIMTMemory.calcSubtreeRoot(imtData, calcLeaves);
+        }
         for (uint256 i = 0; i < idCommitmentIndex; i++) {
             uint256 idCommitment = leavesIndex[shardIndex][i];
             uint256 userMessageLimit = userMessageLimits[idCommitment];
             calcLeaves[i] = PoseidonT3.hash([idCommitment, userMessageLimit]);
         }
-        return BinaryIMTMemory.calcRoot(imtData, 10, calcLeaves);
+        return BinaryIMTMemory.calcSubtreeRoot(imtData, calcLeaves);
     }
 
-    function full_root(uint256[] calldata roots) public pure returns (uint256) {
+    function fullRoot(uint256[] calldata roots) public pure returns (uint256) {
         BinaryIMTMemoryData memory imtData;
-        return BinaryIMTMemory.calcRoot(imtData, 10, roots);
+        return BinaryIMTMemory.calcSubtreeRoot(imtData, roots);
     }
 
     function getLeafAtShard(uint256 shardIndex, uint256 index) public view returns (uint256) {
diff --git a/test/Rln.t.sol b/test/Rln.t.sol
index e3c2c48..ad64a53 100644
--- a/test/Rln.t.sol
+++ b/test/Rln.t.sol
@@ -263,6 +263,11 @@ contract RlnTest is Test {
             18_217_334_211_520_937_958_971_536_517_166_530_749_184_547_628_672_204_353_760_850_739_130_586_503_124;
 
         vm.pauseGasMetering();
+        // before we insert into the tree, the kats must pass
+        assertEq(
+            rln.root(0),
+            12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922
+        );
         for (uint256 i = 0; i < idCommitments.length; i++) {
             // default 1 message limit
             rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitments[i], 1);
@@ -271,7 +276,14 @@ contract RlnTest is Test {
 
         assertEq(
             rln.root(0),
-            1_009_702_141_963_982_084_971_194_921_450_594_432_549_814_353_062_162_436_132_398_913_014_207_593_991
+            2_435_591_050_584_562_785_273_516_085_683_091_349_247_653_357_522_297_485_884_387_709_399_190_797_862
+        );
+
+        uint256[] memory roots = new uint256[](1024);
+        roots[0] = 2_435_591_050_584_562_785_273_516_085_683_091_349_247_653_357_522_297_485_884_387_709_399_190_797_862;
+        assertEq(
+            rln.fullRoot(roots),
+            3_881_711_806_223_377_894_370_509_479_419_308_415_025_371_832_767_296_831_624_691_168_726_496_442_721
         );
     }
 
@@ -291,15 +303,15 @@ contract RlnTest is Test {
         vm.resumeGasMetering();
         assertEq(
             rln.root(0),
-            15_191_547_950_571_875_204_938_158_154_881_229_414_576_184_216_597_114_679_496_514_970_950_611_126_017
+            10_424_638_537_885_815_866_594_133_227_550_095_274_095_476_771_249_698_162_779_016_221_356_823_894_456
         );
     }
 
-    function test__full_root() public {
+    function test__fullRoot() public {
         uint256[] memory roots = new uint256[](1024);
         assertEq(
             // repeat 0 1024 times
-            rln.full_root(roots),
+            rln.fullRoot(roots),
             12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922
         );
     }

From 766a1ab359d8021266cdf7464fa292d5c10cb42b Mon Sep 17 00:00:00 2001
From: rymnc <43716372+rymnc@users.noreply.github.com>
Date: Mon, 15 Apr 2024 23:07:12 +0530
Subject: [PATCH 9/9] fix: add tests

---
 test/Rln.t.sol | 96 +++++---------------------------------------------
 1 file changed, 9 insertions(+), 87 deletions(-)

diff --git a/test/Rln.t.sol b/test/Rln.t.sol
index ad64a53..d256ea1 100644
--- a/test/Rln.t.sol
+++ b/test/Rln.t.sol
@@ -219,100 +219,22 @@ contract RlnTest is Test {
         assertEq(rln.withdrawalBalance(to), 0);
     }
 
-    function test__kats__root() public {
-        uint256[] memory idCommitments = new uint256[](20);
-        idCommitments[0] =
-            20_247_267_680_401_005_346_274_578_821_543_189_710_026_653_465_287_274_953_093_311_729_853_323_564_993;
-        idCommitments[1] =
-            17_156_989_550_607_148_435_222_849_763_909_493_047_059_958_780_520_493_064_916_232_951_463_175_150_232;
-        idCommitments[2] =
-            19_407_226_803_745_267_103_608_182_642_384_012_885_199_367_851_532_943_079_325_397_211_138_049_136_059;
-        idCommitments[3] =
-            10_843_159_696_774_792_948_443_591_344_995_886_877_305_260_668_485_645_797_849_607_534_704_262_422_614;
-        idCommitments[4] =
-            15_752_850_412_139_811_972_088_845_441_337_097_950_281_706_419_552_473_737_567_891_612_825_963_973_284;
-        idCommitments[5] =
-            4_519_863_328_057_168_189_298_631_669_175_527_040_337_788_759_018_171_546_425_601_895_038_423_288_676;
-        idCommitments[6] =
-            20_627_603_771_378_896_374_342_882_478_326_393_493_797_675_723_581_644_707_860_442_401_185_847_711_606;
-        idCommitments[7] =
-            15_154_129_217_924_019_401_315_002_167_199_740_344_372_362_483_772_641_456_490_923_254_762_406_760_783;
-        idCommitments[8] =
-            3_015_981_008_465_776_671_380_535_237_073_859_585_910_422_946_858_408_575_400_681_261_858_382_907_193;
-        idCommitments[9] =
-            224_054_746_800_950_089_703_161_552_547_065_908_637_798_421_998_793_333_020_881_640_418_719_302_913;
-        idCommitments[10] =
-            11_312_879_727_214_499_351_626_352_295_289_579_557_712_856_071_583_396_259_776_980_542_429_783_930_998;
-        idCommitments[11] =
-            12_465_380_480_462_031_386_424_255_751_937_172_435_855_917_781_265_550_857_371_960_580_299_590_023_804;
-        idCommitments[12] =
-            10_532_759_670_323_423_548_160_832_454_733_716_332_118_269_972_426_626_732_736_793_882_239_669_630_595;
-        idCommitments[13] =
-            5_363_974_916_211_877_996_441_994_123_101_828_809_420_707_174_378_417_661_497_477_404_431_739_760_929;
-        idCommitments[14] =
-            16_136_233_734_969_897_677_998_619_926_295_968_066_529_681_582_940_418_030_166_845_477_723_796_227_875;
-        idCommitments[15] =
-            19_482_780_886_140_959_996_233_254_660_604_422_414_723_443_061_405_603_031_287_446_813_590_162_051_267;
-        idCommitments[16] =
-            10_229_567_829_413_302_626_314_791_721_752_882_914_790_767_942_876_437_744_444_365_366_344_582_485_888;
-        idCommitments[17] =
-            13_243_196_170_549_739_682_068_942_953_623_914_146_349_583_225_049_284_668_843_899_390_874_999_176_721;
-        idCommitments[18] =
-            10_860_831_981_296_153_559_626_134_370_426_776_811_139_720_916_552_827_925_568_614_682_099_174_768_128;
-        idCommitments[19] =
-            18_217_334_211_520_937_958_971_536_517_166_530_749_184_547_628_672_204_353_760_850_739_130_586_503_124;
-
+    function test__subtreeRoot() public {
         vm.pauseGasMetering();
-        // before we insert into the tree, the kats must pass
-        assertEq(
-            rln.root(0),
-            12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922
-        );
-        for (uint256 i = 0; i < idCommitments.length; i++) {
-            // default 1 message limit
-            rln.register{ value: MEMBERSHIP_DEPOSIT }(idCommitments[i], 1);
-        }
-        vm.resumeGasMetering();
+        rln.register{ value: MEMBERSHIP_DEPOSIT }(10, 1);
+        rln.register{ value: MEMBERSHIP_DEPOSIT }(20, 1);
+        rln.register{ value: MEMBERSHIP_DEPOSIT }(30, 1);
 
-        assertEq(
-            rln.root(0),
-            2_435_591_050_584_562_785_273_516_085_683_091_349_247_653_357_522_297_485_884_387_709_399_190_797_862
-        );
+        uint256 expectedSubtreeRoot =
+            17_424_862_670_140_480_877_998_532_811_050_196_939_288_692_320_297_833_372_090_184_339_457_611_465_301;
+        assertEq(rln.root(0), expectedSubtreeRoot);
 
         uint256[] memory roots = new uint256[](1024);
-        roots[0] = 2_435_591_050_584_562_785_273_516_085_683_091_349_247_653_357_522_297_485_884_387_709_399_190_797_862;
-        assertEq(
-            rln.fullRoot(roots),
-            3_881_711_806_223_377_894_370_509_479_419_308_415_025_371_832_767_296_831_624_691_168_726_496_442_721
-        );
-    }
-
-    function test__root() public {
-        vm.pauseGasMetering();
-
-        uint256[] memory commitments = new uint256[](1024);
-
-        for (uint256 i = 0; i < 1024; i++) {
-            commitments[i] = i + 1;
-        }
-
-        for (uint256 i = 0; i < 1024; i++) {
-            rln.register{ value: MEMBERSHIP_DEPOSIT }(commitments[i], 1);
-        }
-
+        roots[0] = expectedSubtreeRoot;
         vm.resumeGasMetering();
         assertEq(
-            rln.root(0),
-            10_424_638_537_885_815_866_594_133_227_550_095_274_095_476_771_249_698_162_779_016_221_356_823_894_456
-        );
-    }
-
-    function test__fullRoot() public {
-        uint256[] memory roots = new uint256[](1024);
-        assertEq(
-            // repeat 0 1024 times
             rln.fullRoot(roots),
-            12_413_880_268_183_407_374_852_357_075_976_609_371_175_688_755_676_981_206_018_884_971_008_854_919_922
+            20_795_753_628_257_795_865_704_929_639_740_460_679_489_193_917_102_219_533_570_676_475_358_368_440_035
         );
     }
 }