Wip update test vectors

Combined small fixes

.gitignore

@@ -60,6 +60,9 @@ typings/
 # next.js build output
 .next
 
+# Visual code configuration
+.vscode
+
 tmp
 
 .DS_Store

calcpedersenbases/calcpedersenbases.js

@@ -1,14 +1,15 @@
 const bn128 = require("snarkjs").bn128;
 const bigInt = require("snarkjs").bigInt;
 const createBlakeHash = require("blake-hash");
-const assert = require("assert");
 const babyJub = require("../src/babyjub");
 
 function getPoint(S) {
     const F = bn128.Fr;
     const h = createBlakeHash("blake256").update(S).digest();
 
-    assert(h.length == 32);
+    if (h.length != 32) {
+        throw new Error("Invalid length")
+    }
 
     let sign = false;
     if (h[31] & 0x80) {
@@ -52,7 +53,9 @@ function generatePoint(S) {
         p = getPoint(S+"_"+sidx);
         idx++;
     }
-    assert(babyJub.inCurve(p), "Point not in curve");
+    if (!babyJub.inCurve(p)){
+        throw new Error("Point not in curve");
+    }
     return p;
 }
 

circuits/eddsamimc.circom

@@ -58,6 +58,7 @@ template EdDSAMiMCVerifier() {
     hash.in[2] <== Ax;
     hash.in[3] <== Ay;
     hash.in[4] <== M;
+    hash.k <== 0;
 
     component h2bits = Num2Bits_strict();
     h2bits.in <== hash.out;

circuits/mimc.circom

@@ -137,18 +137,19 @@ template MiMC7(nrounds) {
 
 template MultiMiMC7(nInputs, nRounds) {
     signal input in[nInputs];
+    signal input k;
     signal output out;
+    signal r[nInputs +1];
 
     component mims[nInputs];
+
+    r[0] <== k;
     for (var i=0; i<nInputs; i++) {
         mims[i] = MiMC7(nRounds);
-        if (i==0) {
+        mims[i].x_in <== in[i];
-            mims[i].x_in <== 15021630795539610737508582392395901278341266317943626182700664337106830745361;
+        mims[i].k <== r[i];
-        } else {
+        r[i+1] <== r[i] + in[i] + mims[i].out;
-            mims[i].x_in <== mims[i-1].out;
-        }
-        mims[i].k <== in[i];
     }
 
-    out <== mims[nInputs-1].out;
+    out <== r[nInputs];
 }

circuits/smt/smthash.circom

@@ -29,19 +29,12 @@ template SMTHash1() {
     signal input value;
     signal output out;
 
-    component h1 = MiMC7(91);   // Constant
+    component h = MultiMiMC7(2, 91);   // Constant
-    h1.x_in <== 15021630795539610737508582392395901278341266317943626182700664337106830745361;
+    h.in[0] <== key;
-    h1.k <== 1;
+    h.in[1] <== value;
+    h.k <== 1;
 
-    component h2 = MiMC7(91);
+    out <== h.out;
-    h2.x_in <== h1.out;
-    h2.k <== key;
-
-    component h3 = MiMC7(91);
-    h3.x_in <== h2.out;
-    h3.k <== value;
-
-    out <== h3.out;
 }
 
 /*
@@ -55,13 +48,10 @@ template SMTHash2() {
     signal input R;
     signal output out;
 
-    component h1 = MiMC7(91);
+    component h = MultiMiMC7(2, 91);   // Constant
-    h1.x_in <== 15021630795539610737508582392395901278341266317943626182700664337106830745361;
+    h.in[0] <== L;
-    h1.k <== L;
+    h.in[1] <== R;
+    h.k <== 0;
 
-    component h2 = MiMC7(91);
+    out <== h.out;
-    h2.x_in <== h1.out;
-    h2.k <== R;
-
-    out <== h2.out;
 }

index.js

@@ -1,3 +1,4 @@
 exports.smt = require("./src/smt");
 exports.eddsa = require("./src/eddsa");
 exports.mimc7 = require("./src/mimc7");
+exports.babyJub = require("./src/babyjub");

package.json

@@ -1,6 +1,6 @@
 {
   "name": "circomlib",
-  "version": "0.0.5",
+  "version": "0.0.6",
   "description": "Basic circuits library for Circom",
   "main": "index.js",
   "directories": {
@@ -25,7 +25,7 @@
   "license": "GPL-3.0",
   "dependencies": {
     "blake-hash": "^1.1.0",
-    "snarkjs": "0.1.9",
+    "snarkjs": "0.1.11",
     "web3": "^1.0.0-beta.36"
   },
   "devDependencies": {

src/eddsa.js

@@ -3,9 +3,7 @@ const bigInt = require("snarkjs").bigInt;
 const babyJub = require("./babyjub");
 const pedersenHash = require("./pedersenHash").hash;
 const mimc7 = require("./mimc7");
-const crypto = require("crypto");
 
-exports.cratePrvKey = cratePrvKey;
 exports.prv2pub= prv2pub;
 exports.sign = sign;
 exports.signMiMC = signMiMC;
@@ -13,12 +11,9 @@ exports.verify = verify;
 exports.verifyMiMC = verifyMiMC;
 exports.packSignature = packSignature;
 exports.unpackSignature = unpackSignature;
+exports.pruneBuffer = pruneBuffer;
 
 
-function cratePrvKey() {
-    return crypto.randomBytes(32);
-}
-
 function pruneBuffer(_buff) {
     const buff = Buffer.from(_buff);
     buff[0] = buff[0] & 0xF8;

src/evmasm.js

@@ -3,8 +3,7 @@
 //
 
 
-const Web3 = require("web3");
+const Web3Utils = require("web3-utils");
-const assert = require("assert");
 
 class Contract {
     constructor() {
@@ -39,7 +38,7 @@ class Contract {
             genLoadedLength = C.code.length;
         }
 
-        return Web3.utils.bytesToHex(C.code.concat(this.code));
+        return Web3Utils.bytesToHex(C.code.concat(this.code));
     }
 
     stop() { this.code.push(0x00); }
@@ -141,7 +140,9 @@ class Contract {
     msize()  { this.code.push(0x59); }
     gas()  { this.code.push(0x5a); }
     label(name)  {
-        assert(typeof this.labels[name] == "undefined", "Label already defined");
+        if (typeof this.labels[name] != "undefined") {
+            throw new Error("Label already defined");
+        }
         this.labels[name] = this.code.length;
         this.code.push(0x5b);
 
@@ -149,21 +150,24 @@ class Contract {
     }
 
     push(data) {
-        const d = Web3.utils.hexToBytes(Web3.utils.toHex(data));
+        const d = Web3Utils.hexToBytes(Web3Utils.toHex(data));
-        assert(d.length>0);
+        if (d.length == 0 || d.length > 32) {
-        assert(d.length<=32);
+            throw new Error("Assertion failed");
+        }
         this.code = this.code.concat([0x5F + d.length], d);
     }
 
     dup(n) {
-        assert(n>=0);
+        if (n < 0 || n >= 16) {
-        assert(n<16);
+            throw new Error("Assertion failed");
+        }
         this.code.push(0x80 + n);
     }
 
     swap(n) {
-        assert(n>=1);
+        if (n < 1 || n > 16) {
-        assert(n<=16);
+            throw new Error("Assertion failed");
+        }
         this.code.push(0x8f + n);
     }
 

src/mimc7.js

@@ -1,6 +1,6 @@
 const bn128 = require("snarkjs").bn128;
 const bigInt = require("snarkjs").bigInt;
-const Web3 = require("web3");
+const Web3Utils = require("web3-utils");
 const F = bn128.Fr;
 
 const SEED = "mimc";
@@ -8,8 +8,8 @@ const NROUNDS = 91;
 
 exports.getIV = (seed) => {
     if (typeof seed === "undefined") seed = SEED;
-    const c = Web3.utils.keccak256(seed+"_iv");
+    const c = Web3Utils.keccak256(seed+"_iv");
-    const cn = bigInt(Web3.utils.toBN(c).toString());
+    const cn = bigInt(Web3Utils.toBN(c).toString());
     const iv = cn.mod(F.q);
     return iv;
 };
@@ -18,13 +18,13 @@ exports.getConstants = (seed, nRounds) => {
     if (typeof seed === "undefined") seed = SEED;
     if (typeof nRounds === "undefined") nRounds = NROUNDS;
     const cts = new Array(nRounds);
-    let c = Web3.utils.keccak256(SEED);
+    let c = Web3Utils.keccak256(SEED);
     for (let i=1; i<nRounds; i++) {
-        c = Web3.utils.keccak256(c);
+        c = Web3Utils.keccak256(c);
 
-        const n1 = Web3.utils.toBN(c).mod(Web3.utils.toBN(F.q.toString()));
+        const n1 = Web3Utils.toBN(c).mod(Web3Utils.toBN(F.q.toString()));
-        const c2 = Web3.utils.padLeft(Web3.utils.toHex(n1), 64);
+        const c2 = Web3Utils.padLeft(Web3Utils.toHex(n1), 64);
-        cts[i] = bigInt(Web3.utils.toBN(c2).toString());
+        cts[i] = bigInt(Web3Utils.toBN(c2).toString());
     }
     cts[0] = bigInt(0);
     return cts;
@@ -44,10 +44,21 @@ exports.hash =  (_x_in, _k) =>{
     return F.affine(F.add(r, k));
 };
 
-exports.multiHash = (arr) => {
+exports.multiHash = (arr, key) => {
-    let r = exports.getIV();
+    let r;
-    for (let i=0; i<arr.length; i++) {
+    if (typeof(key) === "undefined") {
-        r = exports.hash(r, bigInt(arr[i]));
+        r = F.zero;
+    } else {
+        r = key;
     }
-    return r;
+    for (let i=0; i<arr.length; i++) {
+        r = F.add(
+            F.add(
+                r,
+                arr[i]
+            ),
+            exports.hash(bigInt(arr[i]), r)
+        );
+    }
+    return F.affine(r);
 };

src/mimc_gencontract.js

@@ -2,13 +2,13 @@
 // License: LGPL-3.0+
 //
 
-const Web3 = require("web3");
+const Web3Utils = require("web3-utils");
 
 const Contract = require("./evmasm");
 
 function createCode(seed, n) {
 
-    let ci = Web3.utils.keccak256(seed);
+    let ci = Web3Utils.keccak256(seed);
 
     const C = new Contract();
 
@@ -51,7 +51,7 @@ function createCode(seed, n) {
     C.mulmod();         // r=t^7 k q
 
     for (let i=0; i<n-1; i++) {
-        ci = Web3.utils.keccak256(ci);
+        ci = Web3Utils.keccak256(ci);
         C.dup(2);       // q r k q
         C.dup(0);       // q q r k q
         C.dup(0);       // q q q r k q

src/pedersenHash.js

@@ -1,7 +1,6 @@
 const bn128 = require("snarkjs").bn128;
 const bigInt = require("snarkjs").bigInt;
 const babyJub = require("./babyjub");
-const assert = require("assert");
 const createBlakeHash = require("blake-hash");
 
 const GENPOINT_PREFIX = "PedersenGenerator";
@@ -73,7 +72,9 @@ function getBasePoint(pointIdx) {
 
     const p8 = babyJub.mulPointEscalar(p, 8);
 
-    assert(babyJub.inSubgroup(p8), "Point not in curve");
+    if (!babyJub.inSubgroup(p8)) {
+        throw new Error("Point not in curve");
+    }
 
     bases[pointIdx] = p8;
     return p8;

src/smt.js

@@ -46,8 +46,8 @@ class SMT {
         const ins = [];
         const dels = [];
 
-        let rtOld = mimc7.multiHash([1, key, resFind.foundValue]);
+        let rtOld = mimc7.multiHash([key, resFind.foundValue], bigInt.one);
-        let rtNew = mimc7.multiHash([1, key, newValue]);
+        let rtNew = mimc7.multiHash([key, newValue], bigInt.one);
         ins.push([rtNew, [1, key, newValue ]]);
         dels.push(rtOld);
 
@@ -59,11 +59,11 @@ class SMT {
                 oldNode = [sibling, rtOld];
                 newNode = [sibling, rtNew];
             } else {
-                oldNode = [rtOld, sibling, ];
+                oldNode = [rtOld, sibling];
-                newNode = [rtNew, sibling, ];
+                newNode = [rtNew, sibling];
             }
-            rtOld = mimc7.multiHash(oldNode);
+            rtOld = mimc7.multiHash(oldNode, bigInt.zero);
-            rtNew = mimc7.multiHash(newNode);
+            rtNew = mimc7.multiHash(newNode, bigInt.zero);
             dels.push(rtOld);
             ins.push([rtNew, newNode]);
         }
@@ -92,7 +92,7 @@ class SMT {
 
         const dels = [];
         const ins = [];
-        let rtOld = mimc7.multiHash([1, key, resFind.foundValue]);
+        let rtOld = mimc7.multiHash([key, resFind.foundValue], bigInt.one);
         let rtNew;
         dels.push(rtOld);
 
@@ -130,9 +130,9 @@ class SMT {
             }
             const oldSibling = resFind.siblings[level];
             if (keyBits[level]) {
-                rtOld = mimc7.multiHash([oldSibling, rtOld]);
+                rtOld = mimc7.multiHash([oldSibling, rtOld], bigInt.zero);
             } else {
-                rtOld = mimc7.multiHash([rtOld, oldSibling]);
+                rtOld = mimc7.multiHash([rtOld, oldSibling], bigInt.zero);
             }
             dels.push(rtOld);
             if (!newSibling.isZero()) {
@@ -147,7 +147,7 @@ class SMT {
                 } else {
                     newNode = [rtNew, newSibling];
                 }
-                rtNew = mimc7.multiHash(newNode);
+                rtNew = mimc7.multiHash(newNode, bigInt.zero);
                 ins.push([rtNew, newNode]);
             }
         }
@@ -185,7 +185,7 @@ class SMT {
             for (let i= res.siblings.length; oldKeyits[i] == newKeyBits[i]; i++) {
                 res.siblings.push(bigInt.zero);
             }
-            rtOld = mimc7.multiHash([1, resFind.notFoundKey, resFind.notFoundValue]);
+            rtOld = mimc7.multiHash([resFind.notFoundKey, resFind.notFoundValue], bigInt.one);
             res.siblings.push(rtOld);
             addedOne = true;
             mixed = false;
@@ -197,7 +197,7 @@ class SMT {
         const inserts = [];
         const dels = [];
 
-        let rt = mimc7.multiHash([1, key, value]);
+        let rt = mimc7.multiHash([key, value], bigInt.one);
         inserts.push([rt,[1, key, value]] );
 
         for (let i=res.siblings.length-1; i>=0; i--) {
@@ -207,9 +207,9 @@ class SMT {
             if (mixed) {
                 const oldSibling = resFind.siblings[i];
                 if (newKeyBits[i]) {
-                    rtOld = mimc7.multiHash([oldSibling, rtOld]);
+                    rtOld = mimc7.multiHash([oldSibling, rtOld], bigInt.zero);
                 } else {
-                    rtOld = mimc7.multiHash([rtOld, oldSibling]);
+                    rtOld = mimc7.multiHash([rtOld, oldSibling], bigInt.zero);
                 }
                 dels.push(rtOld);
             }
@@ -217,10 +217,10 @@ class SMT {
 
             let newRt;
             if (newKeyBits[i]) {
-                newRt = mimc7.multiHash([res.siblings[i], rt]);
+                newRt = mimc7.multiHash([res.siblings[i], rt], bigInt.zero);
                 inserts.push([newRt,[res.siblings[i], rt]] );
             } else {
-                newRt = mimc7.multiHash([rt, res.siblings[i]]);
+                newRt = mimc7.multiHash([rt, res.siblings[i]],  bigInt.zero);
                 inserts.push([newRt,[rt, res.siblings[i]]] );
             }
             rt = newRt;

test/eddsa.js

@@ -2,6 +2,7 @@ const chai = require("chai");
 const path = require("path");
 const snarkjs = require("snarkjs");
 const compiler = require("circom");
+// const crypto = require("crypto");
 
 const eddsa = require("../src/eddsa.js");
 const babyJub = require("../src/babyjub.js");
@@ -45,7 +46,7 @@ describe("EdDSA test", function () {
     it("Sign a single 10 bytes from 0 to 9", async () => {
         const msg = Buffer.from("00010203040506070809", "hex");
 
-//        const prvKey = eddsa.cratePrvKey();
+//        const prvKey = crypto.randomBytes(32);
 
         const prvKey = Buffer.from("0001020304050607080900010203040506070809000102030405060708090001", "hex");
 

test/eddsamimc.js

@@ -9,7 +9,7 @@ const assert = chai.assert;
 
 const bigInt = snarkjs.bigInt;
 
-describe("EdDSA test", function () {
+describe("EdDSA MiMC test", function () {
     let circuit;
 
     this.timeout(100000);

test/mimctestvectors.js

@@ -0,0 +1,51 @@
+const chai = require("chai");
+const snarkjs = require("snarkjs");
+const mimcjs = require("../src/mimc7.js");
+const expect = chai.expect;
+const bigInt = snarkjs.bigInt;
+
+function bytesToHex(buff) {
+    return `0x${buff.toString("hex")}`;
+}
+
+function bigIntToBuffer(number) {
+    const buff = Buffer.alloc(32);
+    let pos = buff.length - 1;
+    while (!number.isZero()) {
+        buff[pos] = number.and(255);
+        number = number.shiftRight(8);
+        pos -= 1;
+    }
+    return buff;
+}
+
+describe("[mimc hash] Javascript test", function () {
+  
+    this.timeout(100000);
+    before( async () => {
+    });
+
+    it("Mimc7 hash with 1 entry", () => {
+        const entries = [bigInt(12)];
+        const hash = mimcjs.multiHash(entries);
+        const hashHex = bytesToHex(bigIntToBuffer(hash));
+        expect(hashHex).to.be.equal("0x237c92644dbddb86d8a259e0e923aaab65a93f1ec5758b8799988894ac0958fd");
+    });
+
+    it("Mimc7 hash with 2 entries", () => {
+        const entries = [bigInt(12), bigInt(45), bigInt(78), bigInt(41)];
+        const hi = mimcjs.multiHash(entries.slice(2));
+        const hiHex = bytesToHex(bigIntToBuffer(hi));
+        expect(hiHex).to.be.equal("0x067f3202335ea256ae6e6aadcd2d5f7f4b06a00b2d1e0de903980d5ab552dc70");
+        const hv = mimcjs.multiHash(entries.slice(0, 2));
+        const hvHex = bytesToHex(bigIntToBuffer(hv));
+        expect(hvHex).to.be.equal("0x15ff7fe9793346a17c3150804bcb36d161c8662b110c50f55ccb7113948d8879");
+    });
+
+    it("Mimc7 hash with 4 entries", () => {
+        const entries = [bigInt(12), bigInt(45), bigInt(78), bigInt(41)];
+        const hash = mimcjs.multiHash(entries);
+        const hashHex = bytesToHex(bigIntToBuffer(hash));
+        expect(hashHex).to.be.equal("0x284bc1f34f335933a23a433b6ff3ee179d682cd5e5e2fcdd2d964afa85104beb");
+    });
+});

test/smttestvectors.js

@@ -0,0 +1,147 @@
+const chai = require("chai");
+const snarkjs = require("snarkjs");
+
+const smt = require("../src/smt.js");
+const mimcjs = require("../src/mimc7.js");
+
+const expect = chai.expect;
+
+const bigInt = snarkjs.bigInt;
+
+function bytesToHex(buff) {
+    return `0x${buff.toString("hex")}`;
+}
+
+function bigIntToBuffer(number) {
+    const buff = Buffer.alloc(32);
+    let pos = buff.length - 1;
+    while (!number.isZero()) {
+        buff[pos] = number.and(255);
+        number = number.shiftRight(8);
+        pos -= 1;
+    }
+    return buff;
+}
+
+function newEntry(arr) {
+    return {
+        hi: mimcjs.multiHash(arr.slice(2)),
+        hv: mimcjs.multiHash(arr.slice(0, 2)),
+    };
+}
+
+describe("[sparse-merkle-tree] Javascript test", function () {
+  
+    this.timeout(100000);
+    before( async () => {
+    });
+
+    it("Add one claim", async () => {
+        const claim = [bigInt(12), bigInt(45), bigInt(78), bigInt(41)]; 
+        const entries = newEntry(claim);
+        const tree = await smt.newMemEmptyTrie();
+        const key1 = entries.hi;
+        const value1 = entries.hv;
+
+        await tree.insert(key1,value1);
+        const root = tree.root;
+        const rootBuff = bigIntToBuffer(root);
+        expect(bytesToHex(rootBuff)).to.be.equal("0x2bf39430aa2482fc1e2f170179c8cab126b0f55f71edc8d333f4c80cb4e798f5");
+    });
+    /*
+    it("Add two claims", async () => {
+        const firstClaim = [bigInt(12), bigInt(45), bigInt(78), bigInt(41)]; 
+        const firstEntries = newEntry(firstClaim);
+        const secondClaim = [bigInt(33), bigInt(44), bigInt(55), bigInt(66)]; 
+        const secondEntries = newEntry(secondClaim);
+        const tree = await smt.newMemEmptyTrie();
+        const key1 = firstEntries.hi;
+        const value1 = firstEntries.hv;
+        const key2 = secondEntries.hi;
+        const value2 = secondEntries.hv;
+
+        await tree.insert(key1,value1);
+        await tree.insert(key2,value2);
+        const root = tree.root;
+        const rootBuff = bigIntToBuffer(root);
+        expect(bytesToHex(rootBuff)).to.be.equal("0x1fb755a3677f8fd6c47b5462b69778ef6383c31d2d498b765e953f8cacaa6744");
+    });
+
+    it("Add claims in different orders", async () => {
+        const tree1 = await smt.newMemEmptyTrie();
+        for (let i = 0; i < 16; i++) {
+            const claim = [bigInt(0), bigInt(i), bigInt(0), bigInt(i)];
+            const entries = newEntry(claim);
+            await tree1.insert(entries.hi, entries.hv);
+        }
+        const tree2 = await smt.newMemEmptyTrie();
+        for (let i = 0; i < 16; i++) {
+            const claim = [bigInt(0), bigInt(i), bigInt(0), bigInt(i)];
+            const entries = newEntry(claim);
+            await tree2.insert(entries.hi, entries.hv);
+        }
+        const root1 = bigIntToBuffer(tree1.root);
+        const root2 = bigIntToBuffer(tree2.root);
+        expect(bytesToHex(root1)).to.be.equal(bytesToHex(root2));
+        expect(bytesToHex(root1)).to.be.equal("0x173fd27f6622526dfb21c4d8d83e3c95adba5d8f46a397113e4e80e629c6de76");
+    });
+
+    it("Insert 3 elements in different order into different trees", async () => {
+        const claim1 = [bigInt(33), bigInt(44), bigInt(55), bigInt(66)];
+        const entries1 = newEntry(claim1);
+        const claim2 = [bigInt(1111), bigInt(2222), bigInt(3333), bigInt(4444)];
+        const entries2 = newEntry(claim2);
+        const claim3 = [bigInt(5555), bigInt(6666), bigInt(7777), bigInt(8888)];
+        const entries3 = newEntry(claim3);
+      
+        const tree1 = await smt.newMemEmptyTrie();
+        const tree2 = await smt.newMemEmptyTrie();
+        const tree3 = await smt.newMemEmptyTrie();
+        const tree4 = await smt.newMemEmptyTrie();
+        const tree5 = await smt.newMemEmptyTrie();
+        const tree6 = await smt.newMemEmptyTrie();
+
+        await tree1.insert(entries1.hi,entries1.hv);
+        await tree1.insert(entries2.hi,entries2.hv);
+        await tree1.insert(entries3.hi,entries3.hv);
+
+        await tree2.insert(entries1.hi,entries1.hv);
+        await tree2.insert(entries3.hi,entries3.hv);
+        await tree2.insert(entries2.hi,entries2.hv);
+
+        await tree3.insert(entries2.hi,entries2.hv);
+        await tree3.insert(entries1.hi,entries1.hv);
+        await tree3.insert(entries3.hi,entries3.hv);
+
+        await tree4.insert(entries2.hi,entries2.hv);
+        await tree4.insert(entries3.hi,entries3.hv);
+        await tree4.insert(entries1.hi,entries1.hv);
+
+        await tree5.insert(entries3.hi,entries3.hv);
+        await tree5.insert(entries1.hi,entries1.hv);
+        await tree5.insert(entries2.hi,entries2.hv);
+
+        await tree6.insert(entries3.hi,entries3.hv);
+        await tree6.insert(entries2.hi,entries2.hv);
+        await tree6.insert(entries1.hi,entries1.hv);
+        
+        const root1 = bigIntToBuffer(tree1.root);
+        const root2 = bigIntToBuffer(tree2.root);
+        const root3 = bigIntToBuffer(tree3.root);
+        const root4 = bigIntToBuffer(tree4.root);
+        const root5 = bigIntToBuffer(tree5.root);
+        const root6 = bigIntToBuffer(tree6.root);
+
+        expect(bytesToHex(root1)).to.be.equal(bytesToHex(root2));
+        expect(bytesToHex(root2)).to.be.equal(bytesToHex(root3));
+        expect(bytesToHex(root3)).to.be.equal(bytesToHex(root4));
+        expect(bytesToHex(root4)).to.be.equal(bytesToHex(root5));
+        expect(bytesToHex(root5)).to.be.equal(bytesToHex(root6));
+        
+        expect(bytesToHex(root1)).to.be.equal("0x27990ef22656f49f010b2b48b2418c46f2bc93e4afb2e3377a1eb09f129e9802");
+    });
+<<<<<<< HEAD
+    */
+=======
+>>>>>>> 5b7abbc4ec56447e5e2baa31e3b4ce3a0c0617a8
+});