From c9435c021384a74009c0b2ec2a5e863b2190e63b Mon Sep 17 00:00:00 2001 From: electron-team Date: Wed, 28 Dec 2022 18:37:35 +0000 Subject: [PATCH] Initial implementation of ed25519 Signed-off-by: Electron Team --- Dockerfile | 11 + Jenkinsfile | 16 + Makefile | 5 + README.md | 173 + .../42dde7861dd18b0c94ad51f8f79088d1.json | 16809 +++++++++ .../test-verifier.sol/Pairing.dbg.json | 4 + .../contracts/test-verifier.sol/Pairing.json | 10 + .../test-verifier.sol/Verifier.dbg.json | 4 + .../contracts/test-verifier.sol/Verifier.json | 45 + circuits/batchverify.circom | 75 + circuits/binadd.circom | 113 + circuits/binmul.circom | 45 + circuits/binsub.circom | 28 + circuits/chunkedadd.circom | 97 + circuits/chunkedmul.circom | 152 + circuits/chunkedsub.circom | 56 + circuits/chunkify.circom | 38 + circuits/inversemodulo.circom | 319 + circuits/lt.circom | 25 + circuits/modinv.circom | 39 + circuits/modulus.circom | 422 + circuits/point-addition.circom | 188 + circuits/pointcompress.circom | 54 + circuits/scalarmul.circom | 164 + circuits/utils.circom | 300 + circuits/verify.circom | 195 + contracts/test-verifier.sol | 345 + hardhat.config.js | 19 + package-lock.json | 31209 ++++++++++++++++ package.json | 54 + test/batchverify.test.js | 254 + test/binadd.test.js | 56 + test/binaddirr.test.js | 50 + test/binmul.test.js | 136 + test/binsub.test.js | 52 + test/chunkedadd.test.js | 49 + test/chunkify.test.js | 31 + test/circuits/batchverify.circom | 5 + test/circuits/binadd1.circom | 5 + test/circuits/binadd2.circom | 5 + test/circuits/binaddirr.circom | 4 + test/circuits/binmul1.circom | 5 + test/circuits/binmulfast1.circom | 5 + test/circuits/binmulfast51.circom | 4 + test/circuits/binmulfast51_1.circom | 4 + test/circuits/binmulfast51_2.circom | 4 + test/circuits/binmullessthan51.circom | 4 + test/circuits/binsub1.circom | 5 + test/circuits/chunkedadd.circom | 5 + test/circuits/chunkedadd1.circom | 5 + test/circuits/chunkedmodulus.circom | 5 + test/circuits/chunkify1.circom | 5 + test/circuits/inversemodulo1.circom | 5 + test/circuits/modinv.circom | 5 + test/circuits/modulus0.circom | 5 + test/circuits/modulus1.circom | 5 + test/circuits/modulus2.circom | 5 + test/circuits/modulusagainst2p.circom | 5 + test/circuits/modulusq1.circom | 5 + test/circuits/modulusq2.circom | 5 + test/circuits/point-addition51.circom | 5 + test/circuits/pointcompress.circom | 5 + test/circuits/scalarmul.circom | 5 + test/circuits/verify.circom | 5 + test/contract.test.js | 293 + test/ed25519verfication.test.js | 113 + test/inversemodulo.test.js | 23 + test/modinv.test.js | 41 + test/modulus.test.js | 153 + test/modulusagainst2p.test.js | 37 + test/pointadd.test.js | 103 + test/pointcompress.test.js | 53 + test/scalarmul.test.js | 48 + test/utils.js | 137 + 74 files changed, 52773 insertions(+) create mode 100644 Dockerfile create mode 100644 Jenkinsfile create mode 100644 Makefile create mode 100644 README.md create mode 100644 artifacts/build-info/42dde7861dd18b0c94ad51f8f79088d1.json create mode 100644 artifacts/contracts/test-verifier.sol/Pairing.dbg.json create mode 100644 artifacts/contracts/test-verifier.sol/Pairing.json create mode 100644 artifacts/contracts/test-verifier.sol/Verifier.dbg.json create mode 100644 artifacts/contracts/test-verifier.sol/Verifier.json create mode 100644 circuits/batchverify.circom create mode 100644 circuits/binadd.circom create mode 100644 circuits/binmul.circom create mode 100644 circuits/binsub.circom create mode 100644 circuits/chunkedadd.circom create mode 100644 circuits/chunkedmul.circom create mode 100644 circuits/chunkedsub.circom create mode 100644 circuits/chunkify.circom create mode 100644 circuits/inversemodulo.circom create mode 100644 circuits/lt.circom create mode 100644 circuits/modinv.circom create mode 100644 circuits/modulus.circom create mode 100644 circuits/point-addition.circom create mode 100644 circuits/pointcompress.circom create mode 100644 circuits/scalarmul.circom create mode 100644 circuits/utils.circom create mode 100644 circuits/verify.circom create mode 100644 contracts/test-verifier.sol create mode 100644 hardhat.config.js create mode 100644 package-lock.json create mode 100644 package.json create mode 100644 test/batchverify.test.js create mode 100644 test/binadd.test.js create mode 100644 test/binaddirr.test.js create mode 100644 test/binmul.test.js create mode 100644 test/binsub.test.js create mode 100644 test/chunkedadd.test.js create mode 100644 test/chunkify.test.js create mode 100644 test/circuits/batchverify.circom create mode 100644 test/circuits/binadd1.circom create mode 100644 test/circuits/binadd2.circom create mode 100644 test/circuits/binaddirr.circom create mode 100644 test/circuits/binmul1.circom create mode 100644 test/circuits/binmulfast1.circom create mode 100644 test/circuits/binmulfast51.circom create mode 100644 test/circuits/binmulfast51_1.circom create mode 100644 test/circuits/binmulfast51_2.circom create mode 100644 test/circuits/binmullessthan51.circom create mode 100644 test/circuits/binsub1.circom create mode 100644 test/circuits/chunkedadd.circom create mode 100644 test/circuits/chunkedadd1.circom create mode 100644 test/circuits/chunkedmodulus.circom create mode 100644 test/circuits/chunkify1.circom create mode 100644 test/circuits/inversemodulo1.circom create mode 100644 test/circuits/modinv.circom create mode 100644 test/circuits/modulus0.circom create mode 100644 test/circuits/modulus1.circom create mode 100644 test/circuits/modulus2.circom create mode 100644 test/circuits/modulusagainst2p.circom create mode 100644 test/circuits/modulusq1.circom create mode 100644 test/circuits/modulusq2.circom create mode 100644 test/circuits/point-addition51.circom create mode 100644 test/circuits/pointcompress.circom create mode 100644 test/circuits/scalarmul.circom create mode 100644 test/circuits/verify.circom create mode 100644 test/contract.test.js create mode 100644 test/ed25519verfication.test.js create mode 100644 test/inversemodulo.test.js create mode 100644 test/modinv.test.js create mode 100644 test/modulus.test.js create mode 100644 test/modulusagainst2p.test.js create mode 100644 test/pointadd.test.js create mode 100644 test/pointcompress.test.js create mode 100644 test/scalarmul.test.js create mode 100644 test/utils.js diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 0000000..bdc4073 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,11 @@ +#maintainer: Gaurav Srivastava +FROM 371334089058.dkr.ecr.ap-south-1.amazonaws.com/circom:latest +WORKDIR /tmp +COPY . . +RUN bash -c "export PATH="$PATH:/root/.cargo/bin" \ + && npm install \ + && npm run test \ + && npm run test-scalarmul \ + && npm run test-verify \ + && npm run test-batch-verify \ + && npm run lint" diff --git a/Jenkinsfile b/Jenkinsfile new file mode 100644 index 0000000..20dd14c --- /dev/null +++ b/Jenkinsfile @@ -0,0 +1,16 @@ +pipeline { + agent any + stages { + stage('Test') { + steps { + sh '''dir=`echo $JOB_NAME | sed \'s/\\//_/g\'|sed \'s/\\%2F/_/g\'` +cd /var/lib/jenkins/workspace/$dir +docker build -t circomtest . +docker rmi circomtest:latest +echo "Tested Successfully" +''' + } + } + + } +} \ No newline at end of file diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..411ba22 --- /dev/null +++ b/Makefile @@ -0,0 +1,5 @@ +clean: + find . -name "*.r1cs" -type f -delete + find . -name "*.sym" -type f -delete + -find . -name "*_js" -type d | xargs rm -r + -find . -name "*_cpp" -type d | xargs rm -r \ No newline at end of file diff --git a/README.md b/README.md new file mode 100644 index 0000000..fc552fd --- /dev/null +++ b/README.md @@ -0,0 +1,173 @@ +# Circom Ed25519 + +[![Twitter URL](https://img.shields.io/twitter/url/https/twitter.com/labs_electron.svg?style=social&label=Follow%20%40labs_electron)](https://twitter.com/labs_electron) +![Build Status](https://github.com/Electron-Labs/ed25519-circom/actions/workflows/actions.yml/badge.svg) +[![License](https://img.shields.io/badge/license-UNLICENSED-red)](LICENSE) + + +Curve operations and signature verification for Ed25519 digital signature scheme in circom + +**WARNING:** This is a research project. It has not been audited and may contain bugs and security flaws. This implementation is NOT ready for production use. + +https://docs.electronlabs.org/circom-ed25519/overview + +The circuits follow the reference implementation from [IETF RFC8032](https://datatracker.ietf.org/doc/html/rfc8032#section-6) + + +## Installing dependencies +- `npm install -g snarkjs` +- `npm install` +- Clone and install circom - [circom docs](https://docs.circom.io/getting-started/installation/) +- If you want to build the `verify` circuit, you'll need to download a Powers of Tau file with `2^22` constraints and copy it into the `circuits` subdirectory of the project, with the name `pot22_final.ptau`. You can download Powers of Tau files from the Hermez trusted setup from [this repository](https://github.com/iden3/snarkjs#7-prepare-phase-2) + +## Testing the build +- You can run the entire testing suite (sans scalar multiplication and signature verification) using `npm run test` +- You can test specific long running tests using `npm run test-scalarmul` or `npm run test-verify` + +## Benchmarks + +All benchmarks were run on a 16-core 3.0GHz, 32G RAM machine (AWS c5a.4xlarge instance). + +||verify.circom| +|---|---| +|Constraints |2564061 | +|Circuit compilation |72s | +|Witness generation |6s | +|Trusted setup phase 2 key generation |841s | +|Trusted setup phase 2 contribution |1040s | +|Proving key size |1.6G | +|Proving time (rapidsnark) |6s | +|Proof verification time |1s | + +## Inputs +`msg` is the data for the signature + +`R8` is the first 256 bits of the signature (LSB to MSB) + +`S` is the first 255 bits of the last 256 bits of the signature (LSB to MSB) + +`A` is the public key in binary (LSB to MSB) + +`PointA` is the point representing the public key on the elliptic curve (encoded in base 2^85 for brevity) + +`PointR` is the point representing the R8 value on the elliptic curve (encoded in base 2^85) + +The [algorithm](https://datatracker.ietf.org/doc/html/rfc8032#section-6) we follow only takes in `A` and `R8` in binary form, and is decompressed to get `PointA` and `PointR` respectively. However, decompression is an expensive algorithm to perform in a circuit. On the other hand, compression is cheap and easy to implement. So, we use a nifty little trick to push the onus of providing both on the `prover` and perform equality checks after compressing the points within the circuit. [Ref](https://github.com/Electron-Labs/ed25519-circom/blob/532f638b4d6ae4684a1f0907df6c92676f0ae8df/circuits/verify.circom#L57) + +You can find all helper functions to change encodings from well-known formats to circuit friendly formats [here](https://github.com/Electron-Labs/ed25519-circom/blob/master/test/utils.js) + +## Important Circuits + +### Modulus upto 2*(2^255-19) -> Mod2p +```python + # for input in + def mod2p(in): + diff = (2**255-19) - in + return in if diff < 0 else diff +``` +##### Available versions +```js + // ModulusAgainst2P + // Elements are represented in binary + (in: [256]) => (out: [255]) + + // ModulusAgainst2Q + // Elements are represented in binary + (in: [254]) => (out: [253]) + + // ModulusAgainst2PChunked51 + // Elements are represented in base 2^85 + (in: [4]) => (out: [3]) +``` + +### Modulus with 2^255-19 -> Modulus25519 +```python + # for input `in` of unknown size, we explot that prime p + # is close to a power of 2 + # input in broken down into an expression in = b + (p + 19)*c + # where b is the least significant 255 bits of input and, + # c is the rest of the bits. Then, + # in mod p = (b + (p + 19)*c) mod p + # = (b mod p + 19*c mod p) mod p + def mod25519(in): + p = 2**255-19 + if in < p: + return in + b = in & ((1 << 255) - 1) + c = in >> 255 + bmodp = mod2p(b) + c19modp = mod25519(19*c) + return mod2p(bmodp + c19modp) +``` +##### Available versions +```js + // ModulusWith25519 + // Elements are represented in binary + (a: [n]) => (out: [255]) + + // ModulusWith252c + // Elements are represented in binary + (a: [n]) => (out: [253]) + + // ModulusWith25519Chunked51 + // Elements are represented in base 2^85 + (a: [n]) => (out: [3]) +``` + +### Point Addition -> PointAdd +```python + # Add two points on Curve25519 + def point_add(P, Q): + p = 2**255-19 + A, B = (P[1]-P[0]) * (Q[1]-Q[0]) % p, (P[1]+P[0]) * (Q[1]+Q[0]) % p + C, D = 2 * P[3] * Q[3] * d % p, 2 * P[2] * Q[2] % p + E, F, G, H = B-A, D-C, D+C, B+A + return (E*F, G*H, F*G, E*H) +``` +##### Available versions +```js + // PointAdd + // Elements are represented in base 2^85 + (P: [4][3], Q: [4][3]) => (R: [4][3]) +``` + +### Scalar Multiplication -> ScalarMul +```python + # Multiply a point by scalar on Curve25519 + def point_mul(s, P): + p = 2**255-19 + Q = (0, 1, 1, 0) # Neutral element + while s > 0: + if s & 1: + Q = point_add(Q, P) + P = point_add(P, P) + s >>= 1 + return Q +``` +##### Available versions +```js + // ScalarMul + // scalar value is represented in binary + // Point elements are represented in base 2^85 + (s: [255], P: [4][3]) => (sP: [4][3]) +``` + +### Ed25519 Signature verification -> Verify +```python + def verify(msg, public, Rs, s, A, R): + # Check that the compressed representation of a point + # equates to the paramaters extracted from signature + assert(Rs == point_compress(R)) + assert(public == point_compress(A)) + h = sha512_modq(Rs + public + msg) + sB = point_mul(s, G) + hA = point_mul(h, A) + return point_equal(sB, point_add(R, hA)) +``` +##### Available versions +```js + // out signal value is 0 or 1 depending on whether the signature validation failed or passed + (msg: [n], A: [256], R8: [256], S: [255], PointA: [4][3], PointR: [4][3]) => (out); +``` diff --git a/artifacts/build-info/42dde7861dd18b0c94ad51f8f79088d1.json b/artifacts/build-info/42dde7861dd18b0c94ad51f8f79088d1.json new file mode 100644 index 0000000..53a11d8 --- /dev/null +++ b/artifacts/build-info/42dde7861dd18b0c94ad51f8f79088d1.json @@ -0,0 +1,16809 @@ +{ + "id": "42dde7861dd18b0c94ad51f8f79088d1", + "_format": "hh-sol-build-info-1", + "solcVersion": "0.6.11", + "solcLongVersion": "0.6.11+commit.5ef660b1", + "input": { + "language": "Solidity", + "sources": { + "contracts/test-verifier.sol": { + "content": "//\n// Copyright 2017 Christian Reitwiessner\n// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n// The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n//\n// 2019 OKIMS\n// ported to solidity 0.6\n// fixed linter warnings\n// added requiere error messages\n//\n//\n// SPDX-License-Identifier: GPL-3.0\npragma solidity ^0.6.11;\nlibrary Pairing {\n struct G1Point {\n uint X;\n uint Y;\n }\n // Encoding of field elements is: X[0] * z + X[1]\n struct G2Point {\n uint[2] X;\n uint[2] Y;\n }\n /// @return the generator of G1\n function P1() internal pure returns (G1Point memory) {\n return G1Point(1, 2);\n }\n /// @return the generator of G2\n function P2() internal pure returns (G2Point memory) {\n // Original code point\n return G2Point(\n [11559732032986387107991004021392285783925812861821192530917403151452391805634,\n 10857046999023057135944570762232829481370756359578518086990519993285655852781],\n [4082367875863433681332203403145435568316851327593401208105741076214120093531,\n 8495653923123431417604973247489272438418190587263600148770280649306958101930]\n );\n\n/*\n // Changed by Jordi point\n return G2Point(\n [10857046999023057135944570762232829481370756359578518086990519993285655852781,\n 11559732032986387107991004021392285783925812861821192530917403151452391805634],\n [8495653923123431417604973247489272438418190587263600148770280649306958101930,\n 4082367875863433681332203403145435568316851327593401208105741076214120093531]\n );\n*/\n }\n /// @return r the negation of p, i.e. p.addition(p.negate()) should be zero.\n function negate(G1Point memory p) internal pure returns (G1Point memory r) {\n // The prime q in the base field F_q for G1\n uint q = 21888242871839275222246405745257275088696311157297823662689037894645226208583;\n if (p.X == 0 && p.Y == 0)\n return G1Point(0, 0);\n return G1Point(p.X, q - (p.Y % q));\n }\n /// @return r the sum of two points of G1\n function addition(G1Point memory p1, G1Point memory p2) internal view returns (G1Point memory r) {\n uint[4] memory input;\n input[0] = p1.X;\n input[1] = p1.Y;\n input[2] = p2.X;\n input[3] = p2.Y;\n bool success;\n // solium-disable-next-line security/no-inline-assembly\n assembly {\n success := staticcall(sub(gas(), 2000), 6, input, 0xc0, r, 0x60)\n // Use \"invalid\" to make gas estimation work\n switch success case 0 { invalid() }\n }\n require(success,\"pairing-add-failed\");\n }\n /// @return r the product of a point on G1 and a scalar, i.e.\n /// p == p.scalar_mul(1) and p.addition(p) == p.scalar_mul(2) for all points p.\n function scalar_mul(G1Point memory p, uint s) internal view returns (G1Point memory r) {\n uint[3] memory input;\n input[0] = p.X;\n input[1] = p.Y;\n input[2] = s;\n bool success;\n // solium-disable-next-line security/no-inline-assembly\n assembly {\n success := staticcall(sub(gas(), 2000), 7, input, 0x80, r, 0x60)\n // Use \"invalid\" to make gas estimation work\n switch success case 0 { invalid() }\n }\n require (success,\"pairing-mul-failed\");\n }\n /// @return the result of computing the pairing check\n /// e(p1[0], p2[0]) * .... * e(p1[n], p2[n]) == 1\n /// For example pairing([P1(), P1().negate()], [P2(), P2()]) should\n /// return true.\n function pairing(G1Point[] memory p1, G2Point[] memory p2) internal view returns (bool) {\n require(p1.length == p2.length,\"pairing-lengths-failed\");\n uint elements = p1.length;\n uint inputSize = elements * 6;\n uint[] memory input = new uint[](inputSize);\n for (uint i = 0; i < elements; i++)\n {\n input[i * 6 + 0] = p1[i].X;\n input[i * 6 + 1] = p1[i].Y;\n input[i * 6 + 2] = p2[i].X[0];\n input[i * 6 + 3] = p2[i].X[1];\n input[i * 6 + 4] = p2[i].Y[0];\n input[i * 6 + 5] = p2[i].Y[1];\n }\n uint[1] memory out;\n bool success;\n // solium-disable-next-line security/no-inline-assembly\n assembly {\n success := staticcall(sub(gas(), 2000), 8, add(input, 0x20), mul(inputSize, 0x20), out, 0x20)\n // Use \"invalid\" to make gas estimation work\n switch success case 0 { invalid() }\n }\n require(success,\"pairing-opcode-failed\");\n return out[0] != 0;\n }\n /// Convenience method for a pairing check for two pairs.\n function pairingProd2(G1Point memory a1, G2Point memory a2, G1Point memory b1, G2Point memory b2) internal view returns (bool) {\n G1Point[] memory p1 = new G1Point[](2);\n G2Point[] memory p2 = new G2Point[](2);\n p1[0] = a1;\n p1[1] = b1;\n p2[0] = a2;\n p2[1] = b2;\n return pairing(p1, p2);\n }\n /// Convenience method for a pairing check for three pairs.\n function pairingProd3(\n G1Point memory a1, G2Point memory a2,\n G1Point memory b1, G2Point memory b2,\n G1Point memory c1, G2Point memory c2\n ) internal view returns (bool) {\n G1Point[] memory p1 = new G1Point[](3);\n G2Point[] memory p2 = new G2Point[](3);\n p1[0] = a1;\n p1[1] = b1;\n p1[2] = c1;\n p2[0] = a2;\n p2[1] = b2;\n p2[2] = c2;\n return pairing(p1, p2);\n }\n /// Convenience method for a pairing check for four pairs.\n function pairingProd4(\n G1Point memory a1, G2Point memory a2,\n G1Point memory b1, G2Point memory b2,\n G1Point memory c1, G2Point memory c2,\n G1Point memory d1, G2Point memory d2\n ) internal view returns (bool) {\n G1Point[] memory p1 = new G1Point[](4);\n G2Point[] memory p2 = new G2Point[](4);\n p1[0] = a1;\n p1[1] = b1;\n p1[2] = c1;\n p1[3] = d1;\n p2[0] = a2;\n p2[1] = b2;\n p2[2] = c2;\n p2[3] = d2;\n return pairing(p1, p2);\n }\n}\ncontract Verifier {\n using Pairing for *;\n struct VerifyingKey {\n Pairing.G1Point alfa1;\n Pairing.G2Point beta2;\n Pairing.G2Point gamma2;\n Pairing.G2Point delta2;\n Pairing.G1Point[] IC;\n }\n struct Proof {\n Pairing.G1Point A;\n Pairing.G2Point B;\n Pairing.G1Point C;\n }\n function verifyingKey() internal pure returns (VerifyingKey memory vk) {\n vk.alfa1 = Pairing.G1Point(\n 20491192805390485299153009773594534940189261866228447918068658471970481763042,\n 9383485363053290200918347156157836566562967994039712273449902621266178545958\n );\n\n vk.beta2 = Pairing.G2Point(\n [4252822878758300859123897981450591353533073413197771768651442665752259397132,\n 6375614351688725206403948262868962793625744043794305715222011528459656738731],\n [21847035105528745403288232691147584728191162732299865338377159692350059136679,\n 10505242626370262277552901082094356697409835680220590971873171140371331206856]\n );\n vk.gamma2 = Pairing.G2Point(\n [11559732032986387107991004021392285783925812861821192530917403151452391805634,\n 10857046999023057135944570762232829481370756359578518086990519993285655852781],\n [4082367875863433681332203403145435568316851327593401208105741076214120093531,\n 8495653923123431417604973247489272438418190587263600148770280649306958101930]\n );\n vk.delta2 = Pairing.G2Point(\n [14264224196899353800543367999525075765943744025449601386425105981609273614701,\n 16809031008450260338666218659281275370828342486329981864349494337906939571887],\n [19575774426779481952987745556743272872528397589822551825491193352706249147828,\n 11890256881228627469373664690032300678627026600164400771388911741873652827176]\n );\n vk.IC = new Pairing.G1Point[](20);\n \n vk.IC[0] = Pairing.G1Point( \n 703628372913608924678229163876049246019207425954662225921071872483627421722,\n 12211995813319149655177018938770234811518560618061207904053494967754185713570\n ); \n \n vk.IC[1] = Pairing.G1Point( \n 245257359888022973124621370122921842349425470670527924595405093609495308747,\n 16424211039905278739428973076501641419102983596574674938829868639077765818142\n ); \n \n vk.IC[2] = Pairing.G1Point( \n 11110164462478062380497336442107420783806541677398299686522715666379498138472,\n 11772875621558518653532220728777759671658134704623077088185806874340215959359\n ); \n \n vk.IC[3] = Pairing.G1Point( \n 18074393405015025057791386123633410704735277649988577562824116025859630543119,\n 6512362579817099053449579131846840340322546772440905776424666285439665971742\n ); \n \n vk.IC[4] = Pairing.G1Point( \n 16324035526312367325456640773935782752062271159753322602146362004262088969135,\n 1959877669644004327327941905732419844609901799055849407390385762919820073782\n ); \n \n vk.IC[5] = Pairing.G1Point( \n 7958732978061398276873406529212832852529841068044035448997300713023105585033,\n 17143584956740843297694279539007817220119917091654840292522900244927912727369\n ); \n \n vk.IC[6] = Pairing.G1Point( \n 19790616331302654635046558077934057923437716290995001520546062733967158884432,\n 3876239317603061711287361903875372717184929107501147494633374979429019396018\n ); \n \n vk.IC[7] = Pairing.G1Point( \n 14590717951490734152256639590507997933809755442616725401381713035954026634761,\n 3225155507246149008951243692824143870155533409045696678069139586430835695226\n ); \n \n vk.IC[8] = Pairing.G1Point( \n 8650680088861200059927247719422818384661114515347998151694550511594524540419,\n 9638849577460518420520485529873913372767621068985215869067476349645606505077\n ); \n \n vk.IC[9] = Pairing.G1Point( \n 17562317824746836410714834945198951796768727084595092618069846988441315688042,\n 19452027031432595136507137552742780122072574021124781097949079775870562190348\n ); \n \n vk.IC[10] = Pairing.G1Point( \n 13182231104070542193327121010898638946743037034726286337778578885258172200370,\n 757187892995880849330492963674577612574015215504544964795700288326850257327\n ); \n \n vk.IC[11] = Pairing.G1Point( \n 14409932519884296032513716882778643894210345146972579810764887578771580357222,\n 814882272533738805340475214361663264998713952212684412413716253117631329790\n ); \n \n vk.IC[12] = Pairing.G1Point( \n 12509202143372575765947197406153125630356821791569394199509048702081149394252,\n 7737627039987972603153686057063377754848525136672116479087023797531609007397\n ); \n \n vk.IC[13] = Pairing.G1Point( \n 8407744049840718757455802166031970590203865445336729285031156887247294225651,\n 188049909694651097938181392474312752814356026969638293041076738773396096245\n ); \n \n vk.IC[14] = Pairing.G1Point( \n 334110586971536499255771782557320020258112908015957001506636732710862874984,\n 16580656581000952485971124280378233725304032835996723142898957560222784358519\n ); \n \n vk.IC[15] = Pairing.G1Point( \n 7727226277603419079704813924510379012883865378360151539308685989224075286070,\n 12912566309035429310049884735227185094569540217854933912859497659097301533657\n ); \n \n vk.IC[16] = Pairing.G1Point( \n 7681998061757907807252614087798324369243677279399770153101699113400315047554,\n 17481742211680301513436042099326808806059638013948490790089189392596297352637\n ); \n \n vk.IC[17] = Pairing.G1Point( \n 12569417065062182916398142101141299032330235062582799620914438471333638326044,\n 17523163572024314338870129158401181066960544407476643264775649919375538750903\n ); \n \n vk.IC[18] = Pairing.G1Point( \n 20366720006081427400904331708710783224493502999618856932501475384256136971442,\n 12984908039677137046692512896720328898650869058550411984382690230037651160819\n ); \n \n vk.IC[19] = Pairing.G1Point( \n 8428544296631560843765157901673529267885840366893744558046063361202851291828,\n 16289478447662297604149997612134385555472387391722487532370257859531844209269\n ); \n \n }\n function verify(uint[] memory input, Proof memory proof) internal view returns (uint) {\n uint256 snark_scalar_field = 21888242871839275222246405745257275088548364400416034343698204186575808495617;\n VerifyingKey memory vk = verifyingKey();\n require(input.length + 1 == vk.IC.length,\"verifier-bad-input\");\n // Compute the linear combination vk_x\n Pairing.G1Point memory vk_x = Pairing.G1Point(0, 0);\n for (uint i = 0; i < input.length; i++) {\n require(input[i] < snark_scalar_field,\"verifier-gte-snark-scalar-field\");\n vk_x = Pairing.addition(vk_x, Pairing.scalar_mul(vk.IC[i + 1], input[i]));\n }\n vk_x = Pairing.addition(vk_x, vk.IC[0]);\n if (!Pairing.pairingProd4(\n Pairing.negate(proof.A), proof.B,\n vk.alfa1, vk.beta2,\n vk_x, vk.gamma2,\n proof.C, vk.delta2\n )) return 1;\n return 0;\n }\n /// @return r bool true if proof is valid\n function verifyProof(\n uint[2] memory a,\n uint[2][2] memory b,\n uint[2] memory c,\n uint[19] memory input\n ) public view returns (bool r) {\n Proof memory proof;\n proof.A = Pairing.G1Point(a[0], a[1]);\n proof.B = Pairing.G2Point([b[0][0], b[0][1]], [b[1][0], b[1][1]]);\n proof.C = Pairing.G1Point(c[0], c[1]);\n uint[] memory inputValues = new uint[](input.length);\n for(uint i = 0; i < input.length; i++){\n inputValues[i] = input[i];\n }\n if (verify(inputValues, proof) == 0) {\n return true;\n } else {\n return false;\n }\n }\n}" + } + }, + "settings": { + "optimizer": { + "enabled": false, + "runs": 200 + }, + "outputSelection": { + "*": { + "*": [ + "abi", + "evm.bytecode", + "evm.deployedBytecode", + "evm.methodIdentifiers", + "metadata" + ], + "": [ + "ast" + ] + } + } + } + }, + "output": { + "contracts": { + "contracts/test-verifier.sol": { + "Pairing": { + "abi": [], + "evm": { + "bytecode": { + "linkReferences": {}, + "object": "60566023600b82828239805160001a607314601657fe5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600080fdfea264697066735822122045a1f84f3ac6323f539198cf8b1c509bdf51222274abf23623e0076ce887185264736f6c634300060b0033", + "opcodes": "PUSH1 0x56 PUSH1 0x23 PUSH1 0xB DUP3 DUP3 DUP3 CODECOPY DUP1 MLOAD PUSH1 0x0 BYTE PUSH1 0x73 EQ PUSH1 0x16 JUMPI INVALID JUMPDEST ADDRESS PUSH1 0x0 MSTORE PUSH1 0x73 DUP2 MSTORE8 DUP3 DUP2 RETURN INVALID PUSH20 0x0 ADDRESS EQ PUSH1 0x80 PUSH1 0x40 MSTORE PUSH1 0x0 DUP1 REVERT INVALID LOG2 PUSH5 0x6970667358 0x22 SLT KECCAK256 GASLIMIT LOG1 0xF8 0x4F GASPRICE 0xC6 ORIGIN EXTCODEHASH MSTORE8 SWAP2 SWAP9 0xCF DUP12 SHR POP SWAP12 0xDF MLOAD 0x22 0x22 PUSH21 0xABF23623E0076CE887185264736F6C634300060B00 CALLER ", + "sourceMap": "1257:5863:0:-:0;;;;;;;;;;;;;;;;;;;;;;;;;" + }, + "deployedBytecode": { + "immutableReferences": {}, + "linkReferences": {}, + "object": "73000000000000000000000000000000000000000030146080604052600080fdfea264697066735822122045a1f84f3ac6323f539198cf8b1c509bdf51222274abf23623e0076ce887185264736f6c634300060b0033", + "opcodes": "PUSH20 0x0 ADDRESS EQ PUSH1 0x80 PUSH1 0x40 MSTORE PUSH1 0x0 DUP1 REVERT INVALID LOG2 PUSH5 0x6970667358 0x22 SLT KECCAK256 GASLIMIT LOG1 0xF8 0x4F GASPRICE 0xC6 ORIGIN EXTCODEHASH MSTORE8 SWAP2 SWAP9 0xCF DUP12 SHR POP SWAP12 0xDF MLOAD 0x22 0x22 PUSH21 0xABF23623E0076CE887185264736F6C634300060B00 CALLER ", + "sourceMap": "1257:5863:0:-:0;;;;;;;;" + }, + "methodIdentifiers": {} + }, + "metadata": "{\"compiler\":{\"version\":\"0.6.11+commit.5ef660b1\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"contracts/test-verifier.sol\":\"Pairing\"},\"evmVersion\":\"istanbul\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":false,\"runs\":200},\"remappings\":[]},\"sources\":{\"contracts/test-verifier.sol\":{\"keccak256\":\"0x1124385586bea7ebca5016284a3b5a864d91d3ad188506ed802840d0c6bc3299\",\"license\":\"GPL-3.0\",\"urls\":[\"bzz-raw://f3636221e883ee9806fbf96d8c9b43dded2138b44bbff2134e283552d6956890\",\"dweb:/ipfs/QmNxzviRfCor8SddH7ocBsDYnkjBZBcbypRJNTeMRvwGVv\"]}},\"version\":1}" + }, + "Verifier": { + "abi": [ + { + "inputs": [ + { + "internalType": "uint256[2]", + "name": "a", + "type": "uint256[2]" + }, + { + "internalType": "uint256[2][2]", + "name": "b", + "type": "uint256[2][2]" + }, + { + "internalType": "uint256[2]", + "name": "c", + "type": "uint256[2]" + }, + { + "internalType": "uint256[19]", + "name": "input", + "type": "uint256[19]" + } + ], + "name": "verifyProof", + "outputs": [ + { + "internalType": "bool", + "name": "r", + "type": "bool" + } + ], + "stateMutability": "view", + "type": "function" + } + ], + "evm": { + "bytecode": { + "linkReferences": {}, + "object": 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0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 PUSH1 0x0 SWAP1 JUMPDEST DUP3 DUP3 LT ISZERO PUSH2 0xFC JUMPI DUP4 DUP3 PUSH1 0x40 MUL ADD PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x2 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 ADD SWAP1 PUSH2 0xA8 JUMP JUMPDEST POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 DUP1 PUSH1 0x40 ADD SWAP1 PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x2 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 DUP1 PUSH2 0x260 ADD SWAP1 PUSH1 0x13 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x13 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 POP POP POP PUSH2 0x1AA JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 DUP3 ISZERO ISZERO ISZERO ISZERO DUP2 MSTORE PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 RETURN JUMPDEST PUSH1 0x0 PUSH2 0x1B4 PUSH2 0x1951 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP8 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1CC JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP8 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x1E3 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 PUSH1 0x0 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP9 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x216 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x227 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP9 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x23E JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x24F JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP9 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x274 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x285 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP9 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x29C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x2AD JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x20 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP6 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x2D8 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP6 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x2EF JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 PUSH1 0x40 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x60 PUSH1 0x13 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x319 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x348 JUMPI DUP2 PUSH1 0x20 ADD PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST PUSH1 0x13 DUP2 LT ISZERO PUSH2 0x390 JUMPI DUP5 DUP2 PUSH1 0x13 DUP2 LT PUSH2 0x366 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 DUP3 DUP2 MLOAD DUP2 LT PUSH2 0x377 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x351 JUMP JUMPDEST POP PUSH1 0x0 PUSH2 0x39D DUP3 DUP5 PUSH2 0x3BD JUMP JUMPDEST EQ ISZERO PUSH2 0x3AE JUMPI PUSH1 0x1 SWAP3 POP POP POP PUSH2 0x3B5 JUMP JUMPDEST PUSH1 0x0 SWAP3 POP POP POP JUMPDEST SWAP5 SWAP4 POP POP POP POP JUMP JUMPDEST PUSH1 0x0 DUP1 PUSH32 0x30644E72E131A029B85045B68181585D2833E84879B9709143E1F593F0000001 SWAP1 POP PUSH2 0x3EB PUSH2 0x1984 JUMP JUMPDEST PUSH2 0x3F3 PUSH2 0x5F1 JUMP JUMPDEST SWAP1 POP DUP1 PUSH1 0x80 ADD MLOAD MLOAD PUSH1 0x1 DUP7 MLOAD ADD EQ PUSH2 0x473 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x76657269666965722D6261642D696E7075740000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH2 0x47B PUSH2 0x19CB JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST DUP7 MLOAD DUP2 LT ISZERO PUSH2 0x57A JUMPI DUP4 DUP8 DUP3 DUP2 MLOAD DUP2 LT PUSH2 0x4B0 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD LT PUSH2 0x52B JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x1F DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x76657269666965722D6774652D736E61726B2D7363616C61722D6669656C6400 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH2 0x56B DUP3 PUSH2 0x566 DUP6 PUSH1 0x80 ADD MLOAD PUSH1 0x1 DUP6 ADD DUP2 MLOAD DUP2 LT PUSH2 0x545 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD DUP11 DUP6 DUP2 MLOAD DUP2 LT PUSH2 0x559 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH2 0x11D4 JUMP JUMPDEST PUSH2 0x12CF JUMP JUMPDEST SWAP2 POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x49A JUMP JUMPDEST POP PUSH2 0x59D DUP2 DUP4 PUSH1 0x80 ADD MLOAD PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x590 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH2 0x12CF JUMP JUMPDEST SWAP1 POP PUSH2 0x5D3 PUSH2 0x5AF DUP7 PUSH1 0x0 ADD MLOAD PUSH2 0x13E9 JUMP JUMPDEST DUP7 PUSH1 0x20 ADD MLOAD DUP5 PUSH1 0x0 ADD MLOAD DUP6 PUSH1 0x20 ADD MLOAD DUP6 DUP8 PUSH1 0x40 ADD MLOAD DUP12 PUSH1 0x40 ADD MLOAD DUP10 PUSH1 0x60 ADD MLOAD PUSH2 0x1483 JUMP JUMPDEST PUSH2 0x5E3 JUMPI PUSH1 0x1 SWAP4 POP POP POP POP PUSH2 0x5EB JUMP JUMPDEST PUSH1 0x0 SWAP4 POP POP POP POP JUMPDEST SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x5F9 PUSH2 0x1984 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2D4D9AA7E302D9DF41749D5507949D05DBEA33FBB16C643B22F599A2BE6DF2E2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x14BEDD503C37CEB061D8EC60209FE345CE89830A19230301F076CAFF004D1926 DUP2 MSTORE POP DUP2 PUSH1 0x0 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x967032FCBF776D1AFC985F88877F182D38480A653F2DECAA9794CBC3BF3060C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0xE187847AD4C798374D0D6732BF501847DD68BC0E071241E0213BC7FC13DB7AB DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x304CFBD1E08A704A99F5E847D93F8C3CAAFDDEC46B7A0D379DA69A4D112346A7 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1739C1B1A457A8C7313123D24D2F9192F896B7C63EEA05A9D57F06547AD0CEC8 DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x20 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x198E9393920D483A7260BFB731FB5D25F1AA493335A9E71297E485B7AEF312C2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1800DEEF121F1E76426A00665E5C4479674322D4F75EDADD46DEBD5CD992F6ED DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x90689D0585FF075EC9E99AD690C3395BC4B313370B38EF355ACDADCD122975B DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x12C85EA5DB8C6DEB4AAB71808DCB408FE3D1E7690C43D37B4CE6CC0166FA7DAA DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x40 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1F8943C9425D2D4F91FC079C0DDC336970350167DE916AE9EE65046300BE616D DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x2529930C09510C624F24E6BF231981A0171C206767018950B11938213A78AEAF DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2B477EE515325EFDC026D99ABB1E049B2A7FCE925158CC64FC5218FD41C345B4 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1A49A59B92316BF02598D210D404A72A7F22CF69F1815B5AA67C7D28A95D0428 DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x60 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x14 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x8BD JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x8F7 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x8E4 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x8DC JUMPI SWAP1 POP JUMPDEST POP DUP2 PUSH1 0x80 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x18E3D52E2D70481FD5BDB8987396F8DBA7BCED19152D7778686D883A720D01A DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1AFFBEA3D44E98BAF5D1222D7A67F1AD64AB2D99767AAA73FBCC3A5F8F3727A2 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x966 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH31 0x8ACF8D13F681880114FCCC7AC01522334DB95EEFE3A9FF0471524C8CABA9CB DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x244FC626181399EFA98BDC5680E1EE44750E98B796C1FA5D41C2E43F6B55271E DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x9D6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1890215797FE52257455601394C09DA060C08AE9322C4F928A11580EA5552B68 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1A073622AAE9B4A2557401E9F805BB4B7BA64C98B03F56C78D992B867E372F3F DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0xA47 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x27F5BE7FE0D594558B422AA4A7EA844916221DFFB6EC6630E94491D29A29B10F DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0xE65DDD95D9AB4A16835EF4E8AFFA2D7427BEDD52E80AA736785CB05C1EE221E DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0xAB8 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x241713A1C849EE841EE03B14E41B6382B7A4C2E6C51648B88D777EB6FE458BAF DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x455405F1181A90C5B12B99346B0C2B8AE8DF2AB49D36A03E95E8123671C9B36 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x4 DUP2 MLOAD DUP2 LT PUSH2 0xB29 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x11987BB523983A6C2500D0C42C5E6FA5602F1E09BB29F13DF17D63EF1CFECF89 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x25E6ECDBA9EBD6CC7BBE2DAFF1BF0A87FD9E709D50B91210ECE40EDAFB7DD349 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x5 DUP2 MLOAD DUP2 LT PUSH2 0xB9A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2BC1178638397FD2E16A7F3488CAE080AD0C735A38E319FA8648CC1905233850 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x891DFAB2F13DDF08048D3FDC2F5FE83A4B4AF3847AB492707AF83B28ACBA7B2 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x6 DUP2 MLOAD DUP2 LT PUSH2 0xC0B JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x20420DBFAFA765EE8EA89E035313BB734A5152E103A1C3B9C21B4545AD4ADE09 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x7215F9271AA868A46DB929A4998A9766E8CD37788C5579472EC5B1B03211E7A DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x7 DUP2 MLOAD DUP2 LT PUSH2 0xC7C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x13201C85EEAD4AB148B9F8A247C71DA133744FD6FDAAA6248DA73811DBD67E03 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x154F654161F6EDA33505BEF5675A4BE9CE0FFCF8AD6AD3DC59E19D81FA8E4A75 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x8 DUP2 MLOAD DUP2 LT PUSH2 0xCED JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x26D3EB6CF572CD99744AF82FB99F8E71316978BE0A8DA011F20008CF95AFBE6A DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x2B0175071551AF0CAF4F537C7022E693E02C75E24359AD57C470E447F7D5C40C DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x9 DUP2 MLOAD DUP2 LT PUSH2 0xD5E JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1D24E0DEE8F6BCFEC34B839457176C8BB863485EA50B1890F7A1C0BA579875B2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1AC8D9BE6362563CBA0CB57873C7C9F6547DBFE5C59F6E4D4725399A84F21AF DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xA DUP2 MLOAD DUP2 LT PUSH2 0xDCF JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1FDBBB975663776FF11B0099F75B00EF6EDB8C3B462C4BD82336A35125E98A66 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1CD34FF5FA9AE51C9C94A78211FC9F16D71F735D5375E98B3DA8264078275FE DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xB DUP2 MLOAD DUP2 LT PUSH2 0xE40 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1BA7F51F4DCC47E5F7891B44A2C046D729EC6270D5E6F861A556E683F8EF5D4C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x111B577A15A0EFAD297B6888D1D50CD7C248E628E61936AF37812985FE720525 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xC DUP2 MLOAD DUP2 LT PUSH2 0xEB1 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x12969D4F6E457A218028D95291DE4B07C8D7E9978B61F0A1C213C7741AFEDCF3 DUP2 MSTORE PUSH1 0x20 ADD PUSH31 0x6A6EB6D116EE2E485D2CE0C884A525341C1C04786D794DAD18A71382EA04F5 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xD DUP2 MLOAD DUP2 LT PUSH2 0xF21 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH31 0xBD19927129EE89391302CC034CBE0CCDA5871FF3E1A9218842652517226968 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x24A851ADBA129504BF9340187AD64849A520AD87883C26B8A5ABE9C8BEA30877 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xE DUP2 MLOAD DUP2 LT PUSH2 0xF91 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x111574805DCC6FABBD9D0B82A5F0855E9CF2A388E6008E192D35EBFE6AF0D636 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1C8C40E7BF0FBCE99DF9CFC0C0C4480DBC3898FF606A8CBADF11777DAD7243D9 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xF DUP2 MLOAD DUP2 LT PUSH2 0x1002 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x10FBDB589A37B9DE57C964103301854E016F4B542234F64041B9F82BAD926E82 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x26A650C15CEB46262580D0994741200275A0EF7FF03E97B6E05D1884D6E885BD DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x10 DUP2 MLOAD DUP2 LT PUSH2 0x1073 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1BCA09B6E201DBA6BB1F07F859D2BAE49D95200AFB387C1A8FA287A8133C471C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x26BDC255022FE87E71A67B2D78E0E812FE3410E6C54303264EB1C3EE5F5D85B7 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x11 DUP2 MLOAD DUP2 LT PUSH2 0x10E4 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2D0727AF28AAE8C403513BE1D2CBE27B77D7236D117BCA7F5763F791940F84B2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1CB5328FAB371F2FC24EA31340CB15053BFBCB46B6CF2AAC2070A133D8B87EF3 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x12 DUP2 MLOAD DUP2 LT PUSH2 0x1155 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x12A2631376CD676129D629C825E5A93AC73C46111DDCEB09B27E56D9A93622B4 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x240384A07EDF1B387C34A7A270989678D87BF8C9CCCAC30754EA3E74AF8DCA75 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x13 DUP2 MLOAD DUP2 LT PUSH2 0x11C6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP SWAP1 JUMP JUMPDEST PUSH2 0x11DC PUSH2 0x19CB JUMP JUMPDEST PUSH2 0x11E4 PUSH2 0x19E5 JUMP JUMPDEST DUP4 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x0 PUSH1 0x3 DUP2 LT PUSH2 0x11F6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP4 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x1 PUSH1 0x3 DUP2 LT PUSH2 0x1211 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 DUP2 PUSH1 0x2 PUSH1 0x3 DUP2 LT PUSH2 0x1228 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP PUSH1 0x0 PUSH1 0x60 DUP4 PUSH1 0x80 DUP5 PUSH1 0x7 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x1251 JUMPI PUSH2 0x1253 JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x12C7 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6D756C2D6661696C65640000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x12D7 PUSH2 0x19CB JUMP JUMPDEST PUSH2 0x12DF PUSH2 0x1A07 JUMP JUMPDEST DUP4 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x0 PUSH1 0x4 DUP2 LT PUSH2 0x12F1 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP4 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x1 PUSH1 0x4 DUP2 LT PUSH2 0x130C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x2 PUSH1 0x4 DUP2 LT PUSH2 0x1327 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x3 PUSH1 0x4 DUP2 LT PUSH2 0x1342 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP PUSH1 0x0 PUSH1 0x60 DUP4 PUSH1 0xC0 DUP5 PUSH1 0x6 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x136B JUMPI PUSH2 0x136D JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x13E1 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6164642D6661696C65640000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x13F1 PUSH2 0x19CB JUMP JUMPDEST PUSH1 0x0 PUSH32 0x30644E72E131A029B85045B68181585D97816A916871CA8D3C208C16D87CFD47 SWAP1 POP PUSH1 0x0 DUP4 PUSH1 0x0 ADD MLOAD EQ DUP1 ISZERO PUSH2 0x142E JUMPI POP PUSH1 0x0 DUP4 PUSH1 0x20 ADD MLOAD EQ JUMPDEST ISZERO PUSH2 0x1452 JUMPI PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP2 POP POP PUSH2 0x147E JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP5 PUSH1 0x0 ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP3 DUP6 PUSH1 0x20 ADD MLOAD DUP2 PUSH2 0x1474 JUMPI INVALID JUMPDEST MOD DUP4 SUB DUP2 MSTORE POP SWAP2 POP POP JUMPDEST SWAP2 SWAP1 POP JUMP JUMPDEST PUSH1 0x0 PUSH1 0x60 PUSH1 0x4 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x149F JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x14D9 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x14C6 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x14BE JUMPI SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x60 PUSH1 0x4 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x14F6 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x1530 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x151D PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x1515 JUMPI SWAP1 POP JUMPDEST POP SWAP1 POP DUP11 DUP3 PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x1541 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP9 DUP3 PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x155A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP7 DUP3 PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0x1573 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP5 DUP3 PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0x158C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP10 DUP2 PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x15A5 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP8 DUP2 PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x15BE JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP6 DUP2 PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0x15D7 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP4 DUP2 PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0x15F0 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH2 0x1605 DUP3 DUP3 PUSH2 0x1615 JUMP JUMPDEST SWAP3 POP POP POP SWAP9 SWAP8 POP POP POP POP POP POP POP POP JUMP JUMPDEST PUSH1 0x0 DUP2 MLOAD DUP4 MLOAD EQ PUSH2 0x168E JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x16 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6C656E677468732D6661696C656400000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH1 0x0 DUP4 MLOAD SWAP1 POP PUSH1 0x0 PUSH1 0x6 DUP3 MUL SWAP1 POP PUSH1 0x60 DUP2 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x16B5 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x16E4 JUMPI DUP2 PUSH1 0x20 ADD PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST DUP4 DUP2 LT ISZERO PUSH2 0x188A JUMPI DUP7 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1701 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD DUP3 PUSH1 0x0 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x171F JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP7 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1737 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD DUP3 PUSH1 0x1 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x1755 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x176D JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1785 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x2 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x179C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x17B4 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x17CC JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x3 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x17E3 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x17FB JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1813 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x4 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x182A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1842 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x185A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x5 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x1871 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x16ED JUMP JUMPDEST POP PUSH2 0x1893 PUSH2 0x1A4F JUMP JUMPDEST PUSH1 0x0 PUSH1 0x20 DUP3 PUSH1 0x20 DUP7 MUL PUSH1 0x20 DUP7 ADD PUSH1 0x8 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x18B8 JUMPI PUSH2 0x18BA JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x192E JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x15 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6F70636F64652D6661696C65640000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH1 0x0 DUP3 PUSH1 0x0 PUSH1 0x1 DUP2 LT PUSH2 0x193D JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD EQ ISZERO SWAP6 POP POP POP POP POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x60 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1964 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x1971 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x197E PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0xA0 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1997 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19A4 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19B1 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19BE PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x60 DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x60 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x3 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x80 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x4 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1A3C PUSH2 0x1A71 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x1A49 PUSH2 0x1A71 JUMP JUMPDEST DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x20 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x1 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x2 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP INVALID LOG2 PUSH5 0x6970667358 0x22 SLT KECCAK256 DUP14 SWAP4 0xDE 0xE1 DUP10 PUSH18 0x1417D7D48119F7FD6395561DB3B8BE037C83 0xA5 REVERT 0x24 0xE 0xEC 0xD1 SHL PUSH31 0x64736F6C634300060B00330000000000000000000000000000000000000000 ", + "sourceMap": "7121:9120:0:-:0;;;;;;;;;;;;;;;;;;;" + }, + "deployedBytecode": { + "immutableReferences": {}, + "linkReferences": {}, + "object": 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+ "opcodes": "PUSH1 0x80 PUSH1 0x40 MSTORE CALLVALUE DUP1 ISZERO PUSH2 0x10 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x4 CALLDATASIZE LT PUSH2 0x2B JUMPI PUSH1 0x0 CALLDATALOAD PUSH1 0xE0 SHR DUP1 PUSH4 0xF3F22E72 EQ PUSH2 0x30 JUMPI JUMPDEST PUSH1 0x0 DUP1 REVERT JUMPDEST PUSH2 0x190 PUSH1 0x4 DUP1 CALLDATASIZE SUB PUSH2 0x360 DUP2 LT ISZERO PUSH2 0x47 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST DUP2 ADD SWAP1 DUP1 DUP1 PUSH1 0x40 ADD SWAP1 PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x2 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 DUP1 PUSH1 0x80 ADD SWAP1 PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 PUSH1 0x0 SWAP1 JUMPDEST DUP3 DUP3 LT ISZERO PUSH2 0xFC JUMPI DUP4 DUP3 PUSH1 0x40 MUL ADD PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x2 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 ADD SWAP1 PUSH2 0xA8 JUMP JUMPDEST POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 DUP1 PUSH1 0x40 ADD SWAP1 PUSH1 0x2 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x2 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 DUP1 PUSH2 0x260 ADD SWAP1 PUSH1 0x13 DUP1 PUSH1 0x20 MUL PUSH1 0x40 MLOAD SWAP1 DUP2 ADD PUSH1 0x40 MSTORE DUP1 SWAP3 SWAP2 SWAP1 DUP3 PUSH1 0x13 PUSH1 0x20 MUL DUP1 DUP3 DUP5 CALLDATACOPY PUSH1 0x0 DUP2 DUP5 ADD MSTORE PUSH1 0x1F NOT PUSH1 0x1F DUP3 ADD AND SWAP1 POP DUP1 DUP4 ADD SWAP3 POP POP POP POP POP POP SWAP2 SWAP3 SWAP2 SWAP3 SWAP1 POP POP POP PUSH2 0x1AA JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 DUP3 ISZERO ISZERO ISZERO ISZERO DUP2 MSTORE PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 RETURN JUMPDEST PUSH1 0x0 PUSH2 0x1B4 PUSH2 0x1951 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP8 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1CC JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP8 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x1E3 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 PUSH1 0x0 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP9 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x216 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x227 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP9 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x23E JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x24F JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP9 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x274 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x285 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP9 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x29C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x2AD JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x20 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP6 PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x2D8 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP6 PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x2EF JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP2 MSTORE POP DUP2 PUSH1 0x40 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x60 PUSH1 0x13 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x319 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x348 JUMPI DUP2 PUSH1 0x20 ADD PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST PUSH1 0x13 DUP2 LT ISZERO PUSH2 0x390 JUMPI DUP5 DUP2 PUSH1 0x13 DUP2 LT PUSH2 0x366 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 DUP3 DUP2 MLOAD DUP2 LT PUSH2 0x377 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x351 JUMP JUMPDEST POP PUSH1 0x0 PUSH2 0x39D DUP3 DUP5 PUSH2 0x3BD JUMP JUMPDEST EQ ISZERO PUSH2 0x3AE JUMPI PUSH1 0x1 SWAP3 POP POP POP PUSH2 0x3B5 JUMP JUMPDEST PUSH1 0x0 SWAP3 POP POP POP JUMPDEST SWAP5 SWAP4 POP POP POP POP JUMP JUMPDEST PUSH1 0x0 DUP1 PUSH32 0x30644E72E131A029B85045B68181585D2833E84879B9709143E1F593F0000001 SWAP1 POP PUSH2 0x3EB PUSH2 0x1984 JUMP JUMPDEST PUSH2 0x3F3 PUSH2 0x5F1 JUMP JUMPDEST SWAP1 POP DUP1 PUSH1 0x80 ADD MLOAD MLOAD PUSH1 0x1 DUP7 MLOAD ADD EQ PUSH2 0x473 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x76657269666965722D6261642D696E7075740000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH2 0x47B PUSH2 0x19CB JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST DUP7 MLOAD DUP2 LT ISZERO PUSH2 0x57A JUMPI DUP4 DUP8 DUP3 DUP2 MLOAD DUP2 LT PUSH2 0x4B0 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD LT PUSH2 0x52B JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x1F DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x76657269666965722D6774652D736E61726B2D7363616C61722D6669656C6400 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH2 0x56B DUP3 PUSH2 0x566 DUP6 PUSH1 0x80 ADD MLOAD PUSH1 0x1 DUP6 ADD DUP2 MLOAD DUP2 LT PUSH2 0x545 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD DUP11 DUP6 DUP2 MLOAD DUP2 LT PUSH2 0x559 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH2 0x11D4 JUMP JUMPDEST PUSH2 0x12CF JUMP JUMPDEST SWAP2 POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x49A JUMP JUMPDEST POP PUSH2 0x59D DUP2 DUP4 PUSH1 0x80 ADD MLOAD PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x590 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH2 0x12CF JUMP JUMPDEST SWAP1 POP PUSH2 0x5D3 PUSH2 0x5AF DUP7 PUSH1 0x0 ADD MLOAD PUSH2 0x13E9 JUMP JUMPDEST DUP7 PUSH1 0x20 ADD MLOAD DUP5 PUSH1 0x0 ADD MLOAD DUP6 PUSH1 0x20 ADD MLOAD DUP6 DUP8 PUSH1 0x40 ADD MLOAD DUP12 PUSH1 0x40 ADD MLOAD DUP10 PUSH1 0x60 ADD MLOAD PUSH2 0x1483 JUMP JUMPDEST PUSH2 0x5E3 JUMPI PUSH1 0x1 SWAP4 POP POP POP POP PUSH2 0x5EB JUMP JUMPDEST PUSH1 0x0 SWAP4 POP POP POP POP JUMPDEST SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x5F9 PUSH2 0x1984 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2D4D9AA7E302D9DF41749D5507949D05DBEA33FBB16C643B22F599A2BE6DF2E2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x14BEDD503C37CEB061D8EC60209FE345CE89830A19230301F076CAFF004D1926 DUP2 MSTORE POP DUP2 PUSH1 0x0 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x967032FCBF776D1AFC985F88877F182D38480A653F2DECAA9794CBC3BF3060C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0xE187847AD4C798374D0D6732BF501847DD68BC0E071241E0213BC7FC13DB7AB DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x304CFBD1E08A704A99F5E847D93F8C3CAAFDDEC46B7A0D379DA69A4D112346A7 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1739C1B1A457A8C7313123D24D2F9192F896B7C63EEA05A9D57F06547AD0CEC8 DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x20 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x198E9393920D483A7260BFB731FB5D25F1AA493335A9E71297E485B7AEF312C2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1800DEEF121F1E76426A00665E5C4479674322D4F75EDADD46DEBD5CD992F6ED DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x90689D0585FF075EC9E99AD690C3395BC4B313370B38EF355ACDADCD122975B DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x12C85EA5DB8C6DEB4AAB71808DCB408FE3D1E7690C43D37B4CE6CC0166FA7DAA DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x40 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1F8943C9425D2D4F91FC079C0DDC336970350167DE916AE9EE65046300BE616D DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x2529930C09510C624F24E6BF231981A0171C206767018950B11938213A78AEAF DUP2 MSTORE POP DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2B477EE515325EFDC026D99ABB1E049B2A7FCE925158CC64FC5218FD41C345B4 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1A49A59B92316BF02598D210D404A72A7F22CF69F1815B5AA67C7D28A95D0428 DUP2 MSTORE POP DUP2 MSTORE POP DUP2 PUSH1 0x60 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x14 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x8BD JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x8F7 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x8E4 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x8DC JUMPI SWAP1 POP JUMPDEST POP DUP2 PUSH1 0x80 ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x18E3D52E2D70481FD5BDB8987396F8DBA7BCED19152D7778686D883A720D01A DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1AFFBEA3D44E98BAF5D1222D7A67F1AD64AB2D99767AAA73FBCC3A5F8F3727A2 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x966 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH31 0x8ACF8D13F681880114FCCC7AC01522334DB95EEFE3A9FF0471524C8CABA9CB DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x244FC626181399EFA98BDC5680E1EE44750E98B796C1FA5D41C2E43F6B55271E DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x9D6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1890215797FE52257455601394C09DA060C08AE9322C4F928A11580EA5552B68 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1A073622AAE9B4A2557401E9F805BB4B7BA64C98B03F56C78D992B867E372F3F DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0xA47 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x27F5BE7FE0D594558B422AA4A7EA844916221DFFB6EC6630E94491D29A29B10F DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0xE65DDD95D9AB4A16835EF4E8AFFA2D7427BEDD52E80AA736785CB05C1EE221E DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0xAB8 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x241713A1C849EE841EE03B14E41B6382B7A4C2E6C51648B88D777EB6FE458BAF DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x455405F1181A90C5B12B99346B0C2B8AE8DF2AB49D36A03E95E8123671C9B36 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x4 DUP2 MLOAD DUP2 LT PUSH2 0xB29 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x11987BB523983A6C2500D0C42C5E6FA5602F1E09BB29F13DF17D63EF1CFECF89 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x25E6ECDBA9EBD6CC7BBE2DAFF1BF0A87FD9E709D50B91210ECE40EDAFB7DD349 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x5 DUP2 MLOAD DUP2 LT PUSH2 0xB9A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2BC1178638397FD2E16A7F3488CAE080AD0C735A38E319FA8648CC1905233850 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x891DFAB2F13DDF08048D3FDC2F5FE83A4B4AF3847AB492707AF83B28ACBA7B2 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x6 DUP2 MLOAD DUP2 LT PUSH2 0xC0B JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x20420DBFAFA765EE8EA89E035313BB734A5152E103A1C3B9C21B4545AD4ADE09 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x7215F9271AA868A46DB929A4998A9766E8CD37788C5579472EC5B1B03211E7A DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x7 DUP2 MLOAD DUP2 LT PUSH2 0xC7C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x13201C85EEAD4AB148B9F8A247C71DA133744FD6FDAAA6248DA73811DBD67E03 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x154F654161F6EDA33505BEF5675A4BE9CE0FFCF8AD6AD3DC59E19D81FA8E4A75 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x8 DUP2 MLOAD DUP2 LT PUSH2 0xCED JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x26D3EB6CF572CD99744AF82FB99F8E71316978BE0A8DA011F20008CF95AFBE6A DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x2B0175071551AF0CAF4F537C7022E693E02C75E24359AD57C470E447F7D5C40C DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x9 DUP2 MLOAD DUP2 LT PUSH2 0xD5E JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1D24E0DEE8F6BCFEC34B839457176C8BB863485EA50B1890F7A1C0BA579875B2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1AC8D9BE6362563CBA0CB57873C7C9F6547DBFE5C59F6E4D4725399A84F21AF DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xA DUP2 MLOAD DUP2 LT PUSH2 0xDCF JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1FDBBB975663776FF11B0099F75B00EF6EDB8C3B462C4BD82336A35125E98A66 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1CD34FF5FA9AE51C9C94A78211FC9F16D71F735D5375E98B3DA8264078275FE DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xB DUP2 MLOAD DUP2 LT PUSH2 0xE40 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1BA7F51F4DCC47E5F7891B44A2C046D729EC6270D5E6F861A556E683F8EF5D4C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x111B577A15A0EFAD297B6888D1D50CD7C248E628E61936AF37812985FE720525 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xC DUP2 MLOAD DUP2 LT PUSH2 0xEB1 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x12969D4F6E457A218028D95291DE4B07C8D7E9978B61F0A1C213C7741AFEDCF3 DUP2 MSTORE PUSH1 0x20 ADD PUSH31 0x6A6EB6D116EE2E485D2CE0C884A525341C1C04786D794DAD18A71382EA04F5 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xD DUP2 MLOAD DUP2 LT PUSH2 0xF21 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH31 0xBD19927129EE89391302CC034CBE0CCDA5871FF3E1A9218842652517226968 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x24A851ADBA129504BF9340187AD64849A520AD87883C26B8A5ABE9C8BEA30877 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xE DUP2 MLOAD DUP2 LT PUSH2 0xF91 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x111574805DCC6FABBD9D0B82A5F0855E9CF2A388E6008E192D35EBFE6AF0D636 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1C8C40E7BF0FBCE99DF9CFC0C0C4480DBC3898FF606A8CBADF11777DAD7243D9 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0xF DUP2 MLOAD DUP2 LT PUSH2 0x1002 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x10FBDB589A37B9DE57C964103301854E016F4B542234F64041B9F82BAD926E82 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x26A650C15CEB46262580D0994741200275A0EF7FF03E97B6E05D1884D6E885BD DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x10 DUP2 MLOAD DUP2 LT PUSH2 0x1073 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x1BCA09B6E201DBA6BB1F07F859D2BAE49D95200AFB387C1A8FA287A8133C471C DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x26BDC255022FE87E71A67B2D78E0E812FE3410E6C54303264EB1C3EE5F5D85B7 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x11 DUP2 MLOAD DUP2 LT PUSH2 0x10E4 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x2D0727AF28AAE8C403513BE1D2CBE27B77D7236D117BCA7F5763F791940F84B2 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x1CB5328FAB371F2FC24EA31340CB15053BFBCB46B6CF2AAC2070A133D8B87EF3 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x12 DUP2 MLOAD DUP2 LT PUSH2 0x1155 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH32 0x12A2631376CD676129D629C825E5A93AC73C46111DDCEB09B27E56D9A93622B4 DUP2 MSTORE PUSH1 0x20 ADD PUSH32 0x240384A07EDF1B387C34A7A270989678D87BF8C9CCCAC30754EA3E74AF8DCA75 DUP2 MSTORE POP DUP2 PUSH1 0x80 ADD MLOAD PUSH1 0x13 DUP2 MLOAD DUP2 LT PUSH2 0x11C6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP SWAP1 JUMP JUMPDEST PUSH2 0x11DC PUSH2 0x19CB JUMP JUMPDEST PUSH2 0x11E4 PUSH2 0x19E5 JUMP JUMPDEST DUP4 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x0 PUSH1 0x3 DUP2 LT PUSH2 0x11F6 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP4 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x1 PUSH1 0x3 DUP2 LT PUSH2 0x1211 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 DUP2 PUSH1 0x2 PUSH1 0x3 DUP2 LT PUSH2 0x1228 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP PUSH1 0x0 PUSH1 0x60 DUP4 PUSH1 0x80 DUP5 PUSH1 0x7 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x1251 JUMPI PUSH2 0x1253 JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x12C7 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6D756C2D6661696C65640000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x12D7 PUSH2 0x19CB JUMP JUMPDEST PUSH2 0x12DF PUSH2 0x1A07 JUMP JUMPDEST DUP4 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x0 PUSH1 0x4 DUP2 LT PUSH2 0x12F1 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP4 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x1 PUSH1 0x4 DUP2 LT PUSH2 0x130C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 PUSH1 0x0 ADD MLOAD DUP2 PUSH1 0x2 PUSH1 0x4 DUP2 LT PUSH2 0x1327 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP DUP3 PUSH1 0x20 ADD MLOAD DUP2 PUSH1 0x3 PUSH1 0x4 DUP2 LT PUSH2 0x1342 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD DUP2 DUP2 MSTORE POP POP PUSH1 0x0 PUSH1 0x60 DUP4 PUSH1 0xC0 DUP5 PUSH1 0x6 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x136B JUMPI PUSH2 0x136D JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x13E1 JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x12 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6164642D6661696C65640000000000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH2 0x13F1 PUSH2 0x19CB JUMP JUMPDEST PUSH1 0x0 PUSH32 0x30644E72E131A029B85045B68181585D97816A916871CA8D3C208C16D87CFD47 SWAP1 POP PUSH1 0x0 DUP4 PUSH1 0x0 ADD MLOAD EQ DUP1 ISZERO PUSH2 0x142E JUMPI POP PUSH1 0x0 DUP4 PUSH1 0x20 ADD MLOAD EQ JUMPDEST ISZERO PUSH2 0x1452 JUMPI PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP2 POP POP PUSH2 0x147E JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 DUP5 PUSH1 0x0 ADD MLOAD DUP2 MSTORE PUSH1 0x20 ADD DUP3 DUP6 PUSH1 0x20 ADD MLOAD DUP2 PUSH2 0x1474 JUMPI INVALID JUMPDEST MOD DUP4 SUB DUP2 MSTORE POP SWAP2 POP POP JUMPDEST SWAP2 SWAP1 POP JUMP JUMPDEST PUSH1 0x0 PUSH1 0x60 PUSH1 0x4 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x149F JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x14D9 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x14C6 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x14BE JUMPI SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x60 PUSH1 0x4 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x14F6 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x1530 JUMPI DUP2 PUSH1 0x20 ADD JUMPDEST PUSH2 0x151D PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD SWAP1 PUSH1 0x1 SWAP1 SUB SWAP1 DUP2 PUSH2 0x1515 JUMPI SWAP1 POP JUMPDEST POP SWAP1 POP DUP11 DUP3 PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x1541 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP9 DUP3 PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x155A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP7 DUP3 PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0x1573 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP5 DUP3 PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0x158C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP10 DUP2 PUSH1 0x0 DUP2 MLOAD DUP2 LT PUSH2 0x15A5 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP8 DUP2 PUSH1 0x1 DUP2 MLOAD DUP2 LT PUSH2 0x15BE JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP6 DUP2 PUSH1 0x2 DUP2 MLOAD DUP2 LT PUSH2 0x15D7 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP DUP4 DUP2 PUSH1 0x3 DUP2 MLOAD DUP2 LT PUSH2 0x15F0 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 SWAP1 MSTORE POP PUSH2 0x1605 DUP3 DUP3 PUSH2 0x1615 JUMP JUMPDEST SWAP3 POP POP POP SWAP9 SWAP8 POP POP POP POP POP POP POP POP JUMP JUMPDEST PUSH1 0x0 DUP2 MLOAD DUP4 MLOAD EQ PUSH2 0x168E JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x16 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6C656E677468732D6661696C656400000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH1 0x0 DUP4 MLOAD SWAP1 POP PUSH1 0x0 PUSH1 0x6 DUP3 MUL SWAP1 POP PUSH1 0x60 DUP2 PUSH8 0xFFFFFFFFFFFFFFFF DUP2 GT DUP1 ISZERO PUSH2 0x16B5 JUMPI PUSH1 0x0 DUP1 REVERT JUMPDEST POP PUSH1 0x40 MLOAD SWAP1 DUP1 DUP3 MSTORE DUP1 PUSH1 0x20 MUL PUSH1 0x20 ADD DUP3 ADD PUSH1 0x40 MSTORE DUP1 ISZERO PUSH2 0x16E4 JUMPI DUP2 PUSH1 0x20 ADD PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP JUMPDEST POP SWAP1 POP PUSH1 0x0 DUP1 SWAP1 POP JUMPDEST DUP4 DUP2 LT ISZERO PUSH2 0x188A JUMPI DUP7 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1701 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD DUP3 PUSH1 0x0 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x171F JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP7 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1737 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD DUP3 PUSH1 0x1 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x1755 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x176D JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1785 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x2 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x179C JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x17B4 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x0 ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x17CC JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x3 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x17E3 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x17FB JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD PUSH1 0x0 PUSH1 0x2 DUP2 LT PUSH2 0x1813 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x4 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x182A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP6 DUP2 DUP2 MLOAD DUP2 LT PUSH2 0x1842 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD MLOAD PUSH1 0x20 ADD MLOAD PUSH1 0x1 PUSH1 0x2 DUP2 LT PUSH2 0x185A JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD DUP3 PUSH1 0x5 PUSH1 0x6 DUP5 MUL ADD DUP2 MLOAD DUP2 LT PUSH2 0x1871 JUMPI INVALID JUMPDEST PUSH1 0x20 MUL PUSH1 0x20 ADD ADD DUP2 DUP2 MSTORE POP POP DUP1 DUP1 PUSH1 0x1 ADD SWAP2 POP POP PUSH2 0x16ED JUMP JUMPDEST POP PUSH2 0x1893 PUSH2 0x1A4F JUMP JUMPDEST PUSH1 0x0 PUSH1 0x20 DUP3 PUSH1 0x20 DUP7 MUL PUSH1 0x20 DUP7 ADD PUSH1 0x8 PUSH2 0x7D0 GAS SUB STATICCALL SWAP1 POP DUP1 PUSH1 0x0 DUP2 EQ PUSH2 0x18B8 JUMPI PUSH2 0x18BA JUMP JUMPDEST INVALID JUMPDEST POP DUP1 PUSH2 0x192E JUMPI PUSH1 0x40 MLOAD PUSH32 0x8C379A000000000000000000000000000000000000000000000000000000000 DUP2 MSTORE PUSH1 0x4 ADD DUP1 DUP1 PUSH1 0x20 ADD DUP3 DUP2 SUB DUP3 MSTORE PUSH1 0x15 DUP2 MSTORE PUSH1 0x20 ADD DUP1 PUSH32 0x70616972696E672D6F70636F64652D6661696C65640000000000000000000000 DUP2 MSTORE POP PUSH1 0x20 ADD SWAP2 POP POP PUSH1 0x40 MLOAD DUP1 SWAP2 SUB SWAP1 REVERT JUMPDEST PUSH1 0x0 DUP3 PUSH1 0x0 PUSH1 0x1 DUP2 LT PUSH2 0x193D JUMPI INVALID JUMPDEST PUSH1 0x20 MUL ADD MLOAD EQ ISZERO SWAP6 POP POP POP POP POP POP SWAP3 SWAP2 POP POP JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x60 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1964 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x1971 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x197E PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0xA0 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1997 PUSH2 0x19CB JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19A4 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19B1 PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x19BE PUSH2 0x1A29 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x60 DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x0 DUP2 MSTORE PUSH1 0x20 ADD PUSH1 0x0 DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x60 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x3 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x80 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x4 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH2 0x1A3C PUSH2 0x1A71 JUMP JUMPDEST DUP2 MSTORE PUSH1 0x20 ADD PUSH2 0x1A49 PUSH2 0x1A71 JUMP JUMPDEST DUP2 MSTORE POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x20 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x1 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP JUMPDEST PUSH1 0x40 MLOAD DUP1 PUSH1 0x40 ADD PUSH1 0x40 MSTORE DUP1 PUSH1 0x2 SWAP1 PUSH1 0x20 DUP3 MUL DUP1 CALLDATASIZE DUP4 CALLDATACOPY DUP1 DUP3 ADD SWAP2 POP POP SWAP1 POP POP SWAP1 JUMP INVALID LOG2 PUSH5 0x6970667358 0x22 SLT KECCAK256 DUP14 SWAP4 0xDE 0xE1 DUP10 PUSH18 0x1417D7D48119F7FD6395561DB3B8BE037C83 0xA5 REVERT 0x24 0xE 0xEC 0xD1 SHL PUSH31 0x64736F6C634300060B00330000000000000000000000000000000000000000 ", + "sourceMap": 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"contractName": "Pairing", + "sourceName": "contracts/test-verifier.sol", + "abi": [], + "bytecode": "0x60566023600b82828239805160001a607314601657fe5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600080fdfea264697066735822122045a1f84f3ac6323f539198cf8b1c509bdf51222274abf23623e0076ce887185264736f6c634300060b0033", + "deployedBytecode": "0x73000000000000000000000000000000000000000030146080604052600080fdfea264697066735822122045a1f84f3ac6323f539198cf8b1c509bdf51222274abf23623e0076ce887185264736f6c634300060b0033", + "linkReferences": {}, + "deployedLinkReferences": {} +} diff --git a/artifacts/contracts/test-verifier.sol/Verifier.dbg.json b/artifacts/contracts/test-verifier.sol/Verifier.dbg.json new file mode 100644 index 0000000..0a991f0 --- /dev/null +++ b/artifacts/contracts/test-verifier.sol/Verifier.dbg.json @@ -0,0 +1,4 @@ +{ + "_format": "hh-sol-dbg-1", + "buildInfo": "../../build-info/42dde7861dd18b0c94ad51f8f79088d1.json" +} diff --git a/artifacts/contracts/test-verifier.sol/Verifier.json b/artifacts/contracts/test-verifier.sol/Verifier.json new file mode 100644 index 0000000..3554656 --- /dev/null +++ b/artifacts/contracts/test-verifier.sol/Verifier.json @@ -0,0 +1,45 @@ +{ + "_format": "hh-sol-artifact-1", + "contractName": "Verifier", + "sourceName": "contracts/test-verifier.sol", + "abi": [ + { + "inputs": [ + { + "internalType": "uint256[2]", + "name": "a", + "type": "uint256[2]" + }, + { + "internalType": "uint256[2][2]", + "name": "b", + "type": "uint256[2][2]" + }, + { + "internalType": "uint256[2]", + "name": "c", + "type": "uint256[2]" + }, + { + "internalType": "uint256[19]", + "name": "input", + "type": "uint256[19]" + } + ], + "name": "verifyProof", + "outputs": [ + { + "internalType": "bool", + "name": "r", + "type": "bool" + } + ], + "stateMutability": "view", + "type": "function" + } + ], + "bytecode": 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+ "linkReferences": {}, + "deployedLinkReferences": {} +} diff --git a/circuits/batchverify.circom b/circuits/batchverify.circom new file mode 100644 index 0000000..5e82f6f --- /dev/null +++ b/circuits/batchverify.circom @@ -0,0 +1,75 @@ +pragma circom 2.0.0; + +include "./verify.circom"; +include "../node_modules/circomlib/circuits/gates.circom"; +include "../node_modules/circomlib/circuits/sha256/sha256.circom"; +// include "../node_modules/circomlib/circuits/sha256/shift.circom"; +include "../node_modules/circomlib/circuits/bitify.circom"; + +template BatchVerify(n, m) { + signal input msg[n]; + + signal input A[m][256]; + signal input R8[m][256]; + signal input S[m][255]; + + signal input PointA[m][4][3]; + signal input PointR[m][4][3]; + + signal output hash[2]; + signal output verified; + + var i; + var j; + var k; + + component verifiers[m]; + component sha256 = Sha256(256 * m); + for (i=0; i nBits); + + signal input in1[mBits]; + signal input in2[nBits]; + + signal output out[mBits+1]; + var i; + component addking[nBits]; + component addcarry[mBits-nBits]; + + for(i=0;i=n +template ChunkedAdderIrregular(m, n, base){ + signal input a[m]; + signal input b[n]; + signal psum[m]; + signal carry[m + 1]; + signal output sum[m + 1]; + + var power = 2 ** base; + + for (var i = 0; i < n ; i++){ + psum[i] <== a[i] + b[i]; + } + + for (var i = n; i < m ; i++){ + psum[i] <== a[i]; + } + + carry[0] <== 0; + + for (var i = 0; i < m; i++){ + sum[i] <-- (psum[i] + carry[i]) % power; + carry[i + 1] <-- (psum[i] + carry[i]) \ power; + psum[i] + carry[i] === carry[i + 1] * power + sum[i]; + } + sum[m] <== carry[m]; + + component lt1 = LessThanPower(base); + lt1.in <== sum[0]; + lt1.out === 1; + + component lt2 = LessThanPower(base); + lt2.in <== sum[m]; + lt2.out === 1; +} + +function calculateNumOutputs(m, n, base) { + return m + (n \ base) + 1; +} diff --git a/circuits/chunkedmul.circom b/circuits/chunkedmul.circom new file mode 100644 index 0000000..75fb3c3 --- /dev/null +++ b/circuits/chunkedmul.circom @@ -0,0 +1,152 @@ +pragma circom 2.0.0; + +include "./chunkify.circom"; +include "./binadd.circom"; +include "./lt.circom"; + +template BinMulFast(m, n) { + signal input in1[m]; + signal input in2[n]; + signal output out[m+n]; + + var i; + var j; + + component chunkify1 = Chunkify(m, 51); + var numChunks1 = calcChunks(m, 51); + for (i=0; i 1 && i==0 && j==1) || (numChunks2 ==1 && i==1 && j==0)) { + adders[0] = BinAdd(m+n); + for (k=0; k=i && j<=m-1+i){ + pp[i][j] <== in1[j-i] * in2[i]; + } + else { + pp[i][j] <== 0; + } + } + } + + var vsum = 0; + for (j=0; j= 0); + signal output out; + signal output borrow; + signal b_plus_c; + b_plus_c <== b + c; + component lt = LessThanBounded(base+1); + lt.in[0] <== a; + lt.in[1] <== b_plus_c; + borrow <== lt.out; + out <== borrow * (1 << base) + a - b_plus_c; +} \ No newline at end of file diff --git a/circuits/chunkify.circom b/circuits/chunkify.circom new file mode 100644 index 0000000..b8bf5a3 --- /dev/null +++ b/circuits/chunkify.circom @@ -0,0 +1,38 @@ +pragma circom 2.0.0; + +include "../node_modules/circomlib/circuits/bitify.circom"; + +template Chunkify(n, chunkSize) { + signal input in[n]; + var numChunks = calcChunks(n, chunkSize); + signal output out[numChunks]; + + component bitifer[numChunks]; + var left = n; + var i; + var offset; + var numBitsToConvert; + for (var chunkIndex=0; chunkIndex> base) > 0); + out * (out - 1) === 0; +} + +template LessThanBounded(base) { + signal input in[2]; + signal output out; + + component lt1 = LessThanPower(base); + lt1.in <== in[0]; + + component lt2 = LessThanPower(base); + lt2.in <== in[1]; + + out <-- in[0] < in[1]; + out * (out - 1) === 0; +} diff --git a/circuits/modinv.circom b/circuits/modinv.circom new file mode 100644 index 0000000..bbfd7c6 --- /dev/null +++ b/circuits/modinv.circom @@ -0,0 +1,39 @@ +pragma circom 2.0.0; + +include "./chunkedmul.circom"; +include "./modulus.circom"; +include "./utils.circom"; +include "./lt.circom"; + +template BigModInv51() { + signal input in[3]; + signal output out[3]; + + var p[3] = [38685626227668133590597613, 38685626227668133590597631, 38685626227668133590597631]; + + // length k + var inv[100] = mod_inv(85, 3, in, p); + for (var i = 0; i < 3; i++) { + out[i] <-- inv[i]; + } + component lt[3]; + for (var i = 0; i < 3; i++) { + lt[i] = LessThanPower(85); + lt[i].in <== out[i]; + lt[i].out * out[i] === out[i]; + } + + component mult = ChunkedMul(3, 3, 85); + for (var i = 0; i < 3; i++) { + mult.in1[i] <== in[i]; + mult.in2[i] <== out[i]; + } + component mod = ModulusWith25519Chunked51(6); + for (var i = 0; i < 6; i++) { + mod.in[i] <== mult.out[i]; + } + mod.out[0] === 1; + for (var i = 1; i < 3; i++) { + mod.out[i] === 0; + } +} diff --git a/circuits/modulus.circom b/circuits/modulus.circom new file mode 100644 index 0000000..8ce49c5 --- /dev/null +++ b/circuits/modulus.circom @@ -0,0 +1,422 @@ +pragma circom 2.0.0; + +include "binsub.circom"; +include "binadd.circom"; +include "chunkedmul.circom"; +include "../node_modules/circomlib/circuits/mux1.circom"; +include "chunkedadd.circom"; +include "chunkedsub.circom"; +include "lt.circom"; +include "utils.circom"; + +/* + ┌────────────┐ + │ │ + │ │ + ┌─────────┐ │ modulus │ ┌─────────────────┐ + │ n wires ├──────▶│ 25519 │───────▶│max(n, 255) wires│ + │(n < 255)│ │ │ │replicated input │ + └─────────┘ │ │ └─────────────────┘ + └────────────┘ + + ┌───────────┐ + ┌───────────▶│ ╠mod0═══╗ + │ ┌────────▶│ │. ║ +┌──────────┐ │ │ │ Mod2p │. ║ +│ │ │ │ │ │. ║ +│ ├in0┘ │ ┌─────▶│ ╠mod254 ║ +│ ├in1───┘ │ └───────────┘ ║ ║ +│ │ . │ ║ ║ +│ │ . │ ║ ║ ┌───────────┐ ┌─────────┐ +│ n wires ├in254────┘ ║ ╚═▶│ a (n wire)│ │ │ +│(n >= 255)│ ╚═════▶│ b (n wire)│ │ │ +│ │ │ ╠═══▶│ Mod2p │ +│ ├in255────┐ │ Add │ │ │ +│ │ . │ ╔═════▶│ │ │ │ +│ │ . │ ║ ╔═▶│ out (n+1) │ │ │ +│ ├inN──┐ │ ┌───────────┐ ║ ║ └───────────┘ └─────────┘ +│ │ │ └─────▶│ a (n wire)│ ║ ║ +│ │ │ │ b (m wire)│ ║ ║ +└──────────┘ └─────────▶│ │ ║ ║ +┌──────────┐ │ Multiply │ ║ ║ +│ ├const0─────────▶│ │ ║ ║ +│ const │ . ┌──────▶│ out (m+n) │ ║ ║ +│ 19 │ . │ └─╦──────╦──┘ ║ ║ +│ 5 wires ├const4──┘ ║ .. ║ ║ ║ +│ │ ║ ║ ║ ║ +└──────────┘ mult0 mult(m+n) ║ ║ + ║ ║ ║ ║ + ▼ ▼ ║ ║ + ┌──────────────┐ ║ ║ + │ ╠mod0 ║ + │ Modulus25519 │. ║ + │ recursive │. ║ + │ circuit ╠mod254 + └──────────────┘ +*/ + +template ModulusWith25519(n) { + signal input in[n]; + signal output out[255]; + + var nineteen[5] = [1, 1, 0, 0, 1]; + var i; + + component mod2p; + component mul; + component mod; + component adder; + component mod2pfinal; + + if (n < 255) { + /* + * Easy case when the number is less than 255 bits. + * In this case modulus over 2^255 - 19 would + * result in the same number. + */ + for (i = 0; i < n; i++) { + out[i] <== in[i]; + } + + for (i = n; i < 255; i++) { + out[i] <== 0; + } + } else { + /* + * Let p = 2^255 - 19 and assume there is a number a; + * We want to calculate a % p, this can be broken down into this: + * b = a % 2^255; + * c = a \\ 2^255; + * + * a = b + (2^255 * c); + * = b + (p + 19) * c; + * = b + p * c + 19 * c; + * + * a % p = (b + p * c + 19 * c) % p; + * = (b % p + (19 * c) % p) % p + */ + + /* + * Here we are trying to calculate b % p. + */ + mod2p = ModulusAgainst2P(); + + for (i = 0; i < 255; i++) { + mod2p.in[i] <== in[i]; + } + + mod2p.in[255] <== 0; + + /* + * Here we are trying to recursively calculate (19 * c) % p. + */ + mul = BinMulFast(n-255, 5); + + for(i = 0; i < n-255; i++) { + mul.in1[i] <== in[255+i]; + } + + for(i = 0; i < 5; i++) { + mul.in2[i] <== nineteen[i]; + } + + mod = ModulusWith25519(n-255+5); + + for (i = 0; i < n-255+5; i++) { + mod.in[i] <== mul.out[i]; + } + + /* + * Add the result for b % p and (19 * c) % p and take modulus over p. + */ + adder = BinAdd(255); + + for (i = 0; i < 255; i++) { + adder.in[0][i] <== mod2p.out[i]; + adder.in[1][i] <== mod.out[i]; + } + + mod2pfinal = ModulusAgainst2P(); + + for (i = 0; i < 256; i++) { + mod2pfinal.in[i] <== adder.out[i]; + } + + for (i = 0; i < 255; i++) { + out[i] <== mod2pfinal.out[i]; + } + } +} + +/* + ╔══════════~s255══════════╗ + ║ ║ + ║ ║ + ║ ║ + ║ ▼ + ┌────────┐ ┌───╩────┐ ┌──────────┐ + │ │ │ │ │ │ + │ ╠═════p0══════▶│ ╠═════s0═══════▶│ │ + │ │ ◦ │ │ ◦ │ ╠══out0════▶ + │ │ ◦ │ b │ ◦ │ ╠══out1════▶ + │ ╠════p254═════▶│ ╠════s254══════▶│ │ ◦ + │2^255-19│ ══0══════▶│ │ │ Mux2 │ ◦ + │ │ │sub(a-b)│ │ │ ◦ + │ │ ┌────────▶│ │ ┌───────▶│ ╠═out254═══▶ + │ │ │ ◦ │ │ │ ◦ │ │ + │ │ │ ◦ │ a │ │ ◦ │ │ + │ │ │ ┌──────▶│ │ │ ┌────▶│ │ + │ │ │ │ ┌───▶│ │ │ │ │ │ + └────────┘ │ │ │ └────────┘ │ │ └──────────┘ + │ │ │ │ │ + │ │ │ │ │ +in0─────────────┴─┼──┼────────────────────┘ │ + │ │ │ +in254─────────────┴──┼───────────────────────┘ +in255────────────────┘ +*/ + +template ModulusAgainst2P() { + signal input in[256]; + signal output out[255]; + + /* Binary representation for 2^255 − 19 from LSB to MSB format */ + var p[255] = [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1]; + var i; + + component sub = BinSub(256); + + for (i = 0; i < 255; i++) { + sub.in[0][i] <== in[i]; + sub.in[1][i] <== p[i]; + } + + sub.in[0][255] <== in[255]; + sub.in[1][255] <== 0; + + component mux = MultiMux1(255); + + for (i = 0; i < 255; i++) { + mux.c[i][0] <== in[i]; + mux.c[i][1] <== sub.out[i]; + } + + mux.s <== 1 - sub.out[255]; + + for (i = 0; i < 255; i++) { + out[i] <== mux.out[i]; + } +} + +template ModulusWith252c(n) { + signal input in[n]; + signal output out[253]; + + var c[125] = [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, + 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, + 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, + 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, + 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1]; + var q[253] = [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, + 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, + 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, + 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, + 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]; + var i; + + component mul; + component mod; + component sub; + component adder; + component mod2pfinal; + + if (n < 253) { + for (i = 0; i < n; i++) { + out[i] <== in[i]; + } + + for (i = n; i < 253; i++) { + out[i] <== 0; + } + } else { + mul = BinMulFast(n-252, 125); + for(i = 0; i < n-252; i++) { + mul.in1[i] <== in[252+i]; + } + + for(i = 0; i < 125; i++) { + mul.in2[i] <== c[i]; + } + + mod = ModulusWith252c(n-252+125); + for (i = 0; i < n-252+125; i++) { + mod.in[i] <== mul.out[i]; + } + + sub = BinSub(253); + for (i = 0; i < 253; i++) { + sub.in[0][i] <== q[i]; + sub.in[1][i] <== mod.out[i]; + } + + adder = BinAdd(253); + for (i = 0; i < 252; i++) { + adder.in[0][i] <== in[i]; + adder.in[1][i] <== sub.out[i]; + } + + adder.in[0][i] <== 0; + adder.in[1][252] <== sub.out[i]; + + mod2pfinal = ModulusAgainst2Q(); + for (i = 0; i < 254; i++) { + mod2pfinal.in[i] <== adder.out[i]; + } + + for (i = 0; i < 253; i++) { + out[i] <== mod2pfinal.out[i]; + } + } +} + +template ModulusAgainst2Q() { + signal input in[254]; + signal output out[253]; + + var i; + var q[253] = [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, + 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, + 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, + 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, + 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, + 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]; + + component sub = BinSub(254); + for (i = 0; i < 253; i++) { + sub.in[0][i] <== in[i]; + sub.in[1][i] <== q[i]; + } + + sub.in[0][253] <== in[253]; + sub.in[1][253] <== 0; + + component mux = MultiMux1(253); + for (i = 0; i < 253; i++) { + mux.c[i][0] <== in[i]; + mux.c[i][1] <== sub.out[i]; + } + + mux.s <== 1 + sub.out[253] - 2*sub.out[253]; + for (i = 0; i < 253; i++) { + out[i] <== mux.out[i]; + } +} + +template ModulusWith25519Chunked51(n) { + signal input in[n]; + signal output out[3]; + + var i; + var base=85; + + component mod2p; + component mul; + component mod; + component adder; + component mod2pfinal; + + if (n < 3) { + for (i = 0; i < n; i++) { + out[i] <== in[i]; + } + + for (i = n; i < 3; i++) { + out[i] <== 0; + } + } else { + mod2p = ModulusAgainst2PChunked51(); + for (i = 0; i < 3; i++) { + mod2p.in[i] <== in[i]; + } + + mod2p.in[3] <== 0; + + mul = ChunkedMul(n-3, 1, base); + for(i = 0; i < n-3; i++) { + mul.in1[i] <== in[3+i]; + } + + mul.in2[0] <== 19; + + mod = ModulusWith25519Chunked51(n-3+1); + for (i = 0; i < n-3+1; i++) { + mod.in[i] <== mul.out[i]; + } + + adder = ChunkedAdd(3, 2, base); + for (i = 0; i < 3; i++) { + adder.in[0][i] <== mod2p.out[i]; + adder.in[1][i] <== mod.out[i]; + } + + mod2pfinal = ModulusAgainst2PChunked51(); + for (i = 0; i < 4; i++) { + mod2pfinal.in[i] <== adder.out[i]; + } + + for (i = 0; i < 3; i++) { + out[i] <== mod2pfinal.out[i]; + } + } +} + +template ModulusAgainst2PChunked51() { + signal input in[4]; + signal output out[3]; + var i; + var p[4] = [38685626227668133590597613, 38685626227668133590597631, 38685626227668133590597631, 0]; + var base = 85; + + component sub = ChunkedSub(4, base); + + in[3] * (in[3] - 1) === 0; + for (i = 0; i < 4; i++) { + sub.a[i] <== in[i]; + sub.b[i] <== p[i]; + } + + component mux = MultiMux1(4); + for (i = 0; i < 4; i++) { + mux.c[i][0] <== in[i]; + mux.c[i][1] <== sub.out[i]; + } + + mux.s <== 1 + sub.underflow - 2*sub.underflow; + for (i = 0; i < 3; i++) { + out[i] <== mux.out[i]; + } +} diff --git a/circuits/point-addition.circom b/circuits/point-addition.circom new file mode 100644 index 0000000..4e75f7b --- /dev/null +++ b/circuits/point-addition.circom @@ -0,0 +1,188 @@ +pragma circom 2.0.0; + +/*{ + "P" : [ + [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1], + [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0], + [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1] + ], + "Q" : [ + [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0], + [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0], + [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0] + + ] +}*/ + +//INCLUDE APPROPRIATE ADD, SUBTRACT AND MULTIPLY TEMPLATES +include "chunkedmul.circom"; +include "chunkedadd.circom"; +include "modulus.circom"; + + +template PointAdd(){ + + //Points are represented as tuples (X, Y, Z, T) of extended coordinates, with x = X/Z, y = Y/Z, x*y = T/Z + + var constant_neg_d[3] = [36453506357546404448470858,34096743896386538864219637,13898602798132607198219823]; + var constant_d[3] = [2232119870121729142126755,4588882331281594726377994,24787023429535526392377808]; + var i; + var base=85; + + signal input P[4][3]; + signal input Q[4][3]; + signal output R[4][3]; + + component X_1X_2 = ChunkedMul(3, 3, base); + component Y_1Y_2 = ChunkedMul(3, 3, base); + component X_1Y_2 = ChunkedMul(3, 3, base); + component X_2Y_1 = ChunkedMul(3, 3, base); + component T_1T_2 = ChunkedMul(3, 3, base); + component Z_1Z_2 = ChunkedMul(3, 3, base); + + for(i=0;i<3;i++){ + X_1X_2.in1[i] <== P[0][i]; + X_1X_2.in2[i] <== Q[0][i]; + + Y_1Y_2.in1[i] <== P[1][i]; + Y_1Y_2.in2[i] <== Q[1][i]; + + X_1Y_2.in1[i] <== P[0][i]; + X_1Y_2.in2[i] <== Q[1][i]; + + X_2Y_1.in1[i] <== P[1][i]; + X_2Y_1.in2[i] <== Q[0][i]; + + T_1T_2.in1[i] <== P[3][i]; + T_1T_2.in2[i] <== Q[3][i]; + + Z_1Z_2.in1[i] <== P[2][i]; + Z_1Z_2.in2[i] <== Q[2][i]; + } + + component T_1T_2_d = ChunkedMul(6, 3, base); + component T_1T_2_neg_d = ChunkedMul(6, 3, base); + + for(i=0;i<2*3;i++){ + T_1T_2_d.in1[i] <== T_1T_2.out[i]; + T_1T_2_neg_d.in1[i] <== T_1T_2.out[i]; + } + + for(i=0;i<3;i++){ + T_1T_2_d.in2[i] <== constant_d[i]; + T_1T_2_neg_d.in2[i] <== constant_neg_d[i]; + } + // component mod_X_1X_2 = ModulusWith25519Chunked51(2*5); + // component mod_Y_1Y_2 = ModulusWith25519Chunked51(2*5); + // component mod_X_1Y_2 = ModulusWith25519Chunked51(2*5); + // component mod_X_2Y_1 = ModulusWith25519Chunked51(2*5); + // component mod_Z_1Z_2 = ModulusWith25519Chunked51(2*5); + + // for(i=0;i<2*5;i++){ + // mod_X_1X_2.a[i] <== X_1X_2.out[i]; + // mod_Y_1Y_2.a[i] <== Y_1Y_2.out[i]; + // mod_X_1Y_2.a[i] <== X_1Y_2.out[i]; + // mod_X_2Y_1.a[i] <== X_2Y_1.out[i]; + // mod_Z_1Z_2.a[i] <== Z_1Z_2.out[i]; + // } + + + // component mod_T_1T_2_d = ModulusWith25519Chunked51(2*5+5); + // component mod_T_1T_2_neg_d = ModulusWith25519Chunked51(2*5+5); + + // for(i=0;i<2*5+5;i++){ + // mod_T_1T_2_d.a[i] <== T_1T_2_d.out[i]; + // mod_T_1T_2_neg_d.a[i] <== T_1T_2_neg_d.out[i]; + // } + + component e_add = ChunkedAdd(6,2,base); + component f_add = ChunkedAdderIrregular(9,6,base); + component g_add = ChunkedAdderIrregular(9,6,base); + component h_add = ChunkedAdd(6,2,base); + + for(i=0;i<6;i++){ + e_add.in[0][i] <== X_1Y_2.out[i]; + e_add.in[1][i] <== X_2Y_1.out[i]; + f_add.b[i] <== Z_1Z_2.out[i]; + g_add.b[i] <== Z_1Z_2.out[i]; + h_add.in[0][i] <== X_1X_2.out[i]; + h_add.in[1][i] <== Y_1Y_2.out[i]; + } + + for(i=0;i<9;i++){ + f_add.a[i] <== T_1T_2_neg_d.out[i]; + g_add.a[i] <== T_1T_2_d.out[i]; + } + + component final_mul1 = ChunkedMul(10, 7, base); + component final_mul2 = ChunkedMul(10, 7, base); + component final_mul3 = ChunkedMul(10, 10, base); + component final_mul4 = ChunkedMul(7, 7, base); + + for(i=0;i<7;i++){ + final_mul1.in2[i] <== e_add.out[i]; + final_mul2.in2[i] <== h_add.out[i]; + final_mul4.in1[i] <== e_add.out[i]; + final_mul4.in2[i] <== h_add.out[i]; + } + + for(i=0;i<10;i++){ + final_mul1.in1[i] <== f_add.sum[i]; + final_mul2.in1[i] <== g_add.sum[i]; + final_mul3.in1[i] <== f_add.sum[i]; + final_mul3.in2[i] <== g_add.sum[i]; + } + + component final_modulo1 = ModulusWith25519Chunked51(17); + component final_modulo2 = ModulusWith25519Chunked51(17); + component final_modulo3 = ModulusWith25519Chunked51(20); + component final_modulo4 = ModulusWith25519Chunked51(14); + + for(i=0;i<17;i++){ + final_modulo1.in[i] <== final_mul1.out[i]; + final_modulo2.in[i] <== final_mul2.out[i]; + } + + for(i=0;i<20;i++){ + final_modulo3.in[i] <== final_mul3.out[i]; + } + + for(i=0;i<14;i++){ + final_modulo4.in[i] <== final_mul4.out[i]; + } + + for(i=0;i<3;i++){ + R[0][i] <== final_modulo1.out[i]; + R[1][i] <== final_modulo2.out[i]; + R[2][i] <== final_modulo3.out[i]; + R[3][i] <== final_modulo4.out[i]; + } + + +} + +template DoublePt(){ + signal input P[4][3]; + signal output out_2P[4][3]; + component double = PointAdd(); + var i; + for(i=0;i<3;i++){ + double.P[0][i] <== P[0][i]; + double.P[1][i] <== P[1][i]; + double.P[2][i] <== P[2][i]; + double.P[3][i] <== P[3][i]; + + double.Q[0][i] <== P[0][i]; + double.Q[1][i] <== P[1][i]; + double.Q[2][i] <== P[2][i]; + double.Q[3][i] <== P[3][i]; + } + for(i=0;i<3;i++){ + double.R[0][i] ==> out_2P[0][i]; + double.R[1][i] ==> out_2P[1][i]; + double.R[2][i] ==> out_2P[2][i]; + double.R[3][i] ==> out_2P[3][i]; + } +} diff --git a/circuits/pointcompress.circom b/circuits/pointcompress.circom new file mode 100644 index 0000000..c6a570d --- /dev/null +++ b/circuits/pointcompress.circom @@ -0,0 +1,54 @@ +pragma circom 2.0.0; + +include "modinv.circom"; +include "chunkedmul.circom"; +include "modulus.circom"; +include "../node_modules/circomlib/circuits/bitify.circom"; + +template PointCompress(){ + signal input P[4][3]; + signal output out[256]; + var i; + + component mul_x = ChunkedMul(3, 3, 85); + component mul_y = ChunkedMul(3, 3, 85); + component modinv_z = BigModInv51(); + component mod_x = ModulusWith25519Chunked51(6); + component mod_y = ModulusWith25519Chunked51(6); + + for(i=0;i<3;i++){ + modinv_z.in[i] <== P[2][i]; + } + + for(i=0;i<3;i++){ + mul_x.in1[i] <== P[0][i]; + mul_x.in2[i] <== modinv_z.out[i]; + mul_y.in1[i] <== P[1][i]; + mul_y.in2[i] <== modinv_z.out[i]; + } + + for(i=0;i<6;i++){ + mod_x.in[i] <== mul_x.out[i]; + mod_y.in[i] <== mul_y.out[i]; + } + + component bits_y[3]; + for(i=0;i<3;i++){ + bits_y[i] = Num2Bits(85); + } + for(i=0;i<3;i++){ + bits_y[i].in <== mod_y.out[i]; + } + + component bits_x = Num2Bits(85); + bits_x.in <== mod_x.out[0]; + + for(i=0;i<85;i++){ + out[i] <== bits_y[0].out[i]; + out[i+85] <== bits_y[1].out[i]; + out[i+170] <== bits_y[2].out[i]; + } + + out[255] <-- mod_x.out[0] & 1; + out[255] * (out[255] - 1) === 0; +} diff --git a/circuits/scalarmul.circom b/circuits/scalarmul.circom new file mode 100644 index 0000000..c0a83a0 --- /dev/null +++ b/circuits/scalarmul.circom @@ -0,0 +1,164 @@ +pragma circom 2.0.0; +include "point-addition.circom"; + +template Multiplexor2() { + signal input sel; + signal input in[2][4][3]; + signal output out[4][3]; + var i; + for(i=0;i<3;i++){ + out[0][i] <== (in[1][0][i] - in[0][0][i])*sel + in[0][0][i]; + out[1][i] <== (in[1][1][i] - in[0][1][i])*sel + in[0][1][i]; + out[2][i] <== (in[1][2][i] - in[0][2][i])*sel + in[0][2][i]; + out[3][i] <== (in[1][3][i] - in[0][3][i])*sel + in[0][3][i]; + } +} + +template BitElementMulAny() { + signal input sel; + signal input dblIn[4][3]; + signal input addIn[4][3]; + signal output dblOut[4][3]; + signal output addOut[4][3]; + + component doubler = DoublePt(); + component adder = PointAdd(); + component selector = Multiplexor2(); + + var i; + + sel ==> selector.sel; + + for(i=0;i<3;i++){ + dblIn[0][i] ==> doubler.P[0][i]; + dblIn[1][i] ==> doubler.P[1][i]; + dblIn[2][i] ==> doubler.P[2][i]; + dblIn[3][i] ==> doubler.P[3][i]; + } + + for(i=0;i<3;i++){ + doubler.out_2P[0][i] ==> adder.P[0][i]; + doubler.out_2P[1][i] ==> adder.P[1][i]; + doubler.out_2P[2][i] ==> adder.P[2][i]; + doubler.out_2P[3][i] ==> adder.P[3][i]; + } + + for(i=0;i<3;i++){ + addIn[0][i] ==> adder.Q[0][i]; + addIn[1][i] ==> adder.Q[1][i]; + addIn[2][i] ==> adder.Q[2][i]; + addIn[3][i] ==> adder.Q[3][i]; + } + + for(i=0;i<3;i++){ + addIn[0][i] ==> selector.in[0][0][i]; + addIn[1][i] ==> selector.in[0][1][i]; + addIn[2][i] ==> selector.in[0][2][i]; + addIn[3][i] ==> selector.in[0][3][i]; + + adder.R[0][i] ==> selector.in[1][0][i]; + adder.R[1][i] ==> selector.in[1][1][i]; + adder.R[2][i] ==> selector.in[1][2][i]; + adder.R[3][i] ==> selector.in[1][3][i]; + } + + + for(i=0;i<3;i++){ + doubler.out_2P[0][i] ==> dblOut[0][i]; + doubler.out_2P[1][i] ==> dblOut[1][i]; + doubler.out_2P[2][i] ==> dblOut[2][i]; + doubler.out_2P[3][i] ==> dblOut[3][i]; + + selector.out[0][i] ==> addOut[0][i]; + selector.out[1][i] ==> addOut[1][i]; + selector.out[2][i] ==> addOut[2][i]; + selector.out[3][i] ==> addOut[3][i]; + } +} + +template ScalarMul(){ + signal input s[255]; + signal input P[4][3]; + signal output sP[4][3]; + + component bits[254]; + + var i; + var j; + + bits[0] = BitElementMulAny(); + for(i=0;i<3;i++){ + bits[0].dblIn[0][i] <== P[0][i]; + bits[0].dblIn[1][i] <== P[1][i]; + bits[0].dblIn[2][i] <== P[2][i]; + bits[0].dblIn[3][i] <== P[3][i]; + + bits[0].addIn[0][i] <== P[0][i]; + bits[0].addIn[1][i] <== P[1][i]; + bits[0].addIn[2][i] <== P[2][i]; + bits[0].addIn[3][i] <== P[3][i]; + } + bits[0].sel <== s[1]; + + for(i=1;i<254;i++){ + bits[i] = BitElementMulAny(); + for(j=0;j<3;j++){ + bits[i-1].dblOut[0][j] ==> bits[i].dblIn[0][j]; + bits[i-1].dblOut[1][j] ==> bits[i].dblIn[1][j]; + bits[i-1].dblOut[2][j] ==> bits[i].dblIn[2][j]; + bits[i-1].dblOut[3][j] ==> bits[i].dblIn[3][j]; + + bits[i-1].addOut[0][j] ==> bits[i].addIn[0][j]; + bits[i-1].addOut[1][j] ==> bits[i].addIn[1][j]; + bits[i-1].addOut[2][j] ==> bits[i].addIn[2][j]; + bits[i-1].addOut[3][j] ==> bits[i].addIn[3][j]; + } + + s[i+1] ==> bits[i].sel; + } + + var prime_p[3] = [38685626227668133590597613, 38685626227668133590597631, 38685626227668133590597631]; + component sub_x = ChunkedSub(3, 85); + for(i=0;i<3;i++){ + sub_x.a[i] <== prime_p[i]; + sub_x.b[i] <== P[0][i]; + } + component sub_t = ChunkedSub(3, 85); + for(i=0;i<3;i++){ + sub_t.a[i] <== prime_p[i]; + sub_t.b[i] <== P[3][i]; + } + component finaladder = PointAdd(); + for(i=0;i<3;i++){ + finaladder.P[0][i] <== bits[253].addOut[0][i]; + finaladder.P[1][i] <== bits[253].addOut[1][i]; + finaladder.P[2][i] <== bits[253].addOut[2][i]; + finaladder.P[3][i] <== bits[253].addOut[3][i]; + + finaladder.Q[0][i] <== sub_x.out[i]; + finaladder.Q[1][i] <== P[1][i]; + finaladder.Q[2][i] <== P[2][i]; + finaladder.Q[3][i] <== sub_t.out[i]; + } + component lastSel = Multiplexor2(); + s[0] ==> lastSel.sel; + + for(i=0;i<3;i++){ + finaladder.R[0][i] ==> lastSel.in[0][0][i]; + finaladder.R[1][i] ==> lastSel.in[0][1][i]; + finaladder.R[2][i] ==> lastSel.in[0][2][i]; + finaladder.R[3][i] ==> lastSel.in[0][3][i]; + + bits[253].addOut[0][i] ==> lastSel.in[1][0][i]; + bits[253].addOut[1][i] ==> lastSel.in[1][1][i]; + bits[253].addOut[2][i] ==> lastSel.in[1][2][i]; + bits[253].addOut[3][i] ==> lastSel.in[1][3][i]; + } + + for(i=0;i<3;i++){ + sP[0][i] <== lastSel.out[0][i]; + sP[1][i] <== lastSel.out[1][i]; + sP[2][i] <== lastSel.out[2][i]; + sP[3][i] <== lastSel.out[3][i]; + } +} diff --git a/circuits/utils.circom b/circuits/utils.circom new file mode 100644 index 0000000..928475a --- /dev/null +++ b/circuits/utils.circom @@ -0,0 +1,300 @@ +pragma circom 2.0.0; + +function SplitFn(in, n, m) { + return [in % (1 << n), (in \ (1 << n)) % (1 << m)]; +} + +function SplitThreeFn(in, n, m, k) { + return [in % (1 << n), (in \ (1 << n)) % (1 << m), (in \ (1 << n + m)) % (1 << k)]; +} + +// 1 if true, 0 if false +function long_gt(n, k, a, b) { + for (var i = k - 1; i >= 0; i--) { + if (a[i] > b[i]) { + return 1; + } + if (a[i] < b[i]) { + return 0; + } + } + return 0; +} + +// n bits per register +// a has k registers +// b has k registers +// a >= b +function long_sub(n, k, a, b) { + var diff[100]; + var borrow[100]; + for (var i = 0; i < k; i++) { + if (i == 0) { + if (a[i] >= b[i]) { + diff[i] = a[i] - b[i]; + borrow[i] = 0; + } else { + diff[i] = a[i] - b[i] + (1 << n); + borrow[i] = 1; + } + } else { + if (a[i] >= b[i] + borrow[i - 1]) { + diff[i] = a[i] - b[i] - borrow[i - 1]; + borrow[i] = 0; + } else { + diff[i] = (1 << n) + a[i] - b[i] - borrow[i - 1]; + borrow[i] = 1; + } + } + } + return diff; +} + +// a is a n-bit scalar +// b has k registers +function long_scalar_mult(n, k, a, b) { + var out[100]; + for (var i = 0; i < 100; i++) { + out[i] = 0; + } + for (var i = 0; i < k; i++) { + var temp = out[i] + (a * b[i]); + out[i] = temp % (1 << n); + out[i + 1] = out[i + 1] + temp \ (1 << n); + } + return out; +} + + +// n bits per register +// a has k + m registers +// b has k registers +// out[0] has length m + 1 -- quotient +// out[1] has length k -- remainder +// implements algorithm of https://people.eecs.berkeley.edu/~fateman/282/F%20Wright%20notes/week4.pdf +// b[k-1] must be nonzero! +function long_div(n, k, a, b) { + var out[2][100]; + + var remainder[200]; + for (var i = 0; i < 2 * k; i++) { + remainder[i] = a[i]; + } + + var mult[200]; + var dividend[200]; + for (var i = k; i >= 0; i--) { + if (i == k) { + dividend[k] = 0; + for (var j = k - 1; j >= 0; j--) { + dividend[j] = remainder[j + k]; + } + } else { + for (var j = k; j >= 0; j--) { + dividend[j] = remainder[j + i]; + } + } + + out[0][i] = short_div(n, k, dividend, b); + + var mult_shift[100] = long_scalar_mult(n, k, out[0][i], b); + var subtrahend[200]; + for (var j = 0; j < 2 * k; j++) { + subtrahend[j] = 0; + } + for (var j = 0; j <= k; j++) { + if (i + j < 2 * k) { + subtrahend[i + j] = mult_shift[j]; + } + } + remainder = long_sub(n, 2 * k, remainder, subtrahend); + } + for (var i = 0; i < k; i++) { + out[1][i] = remainder[i]; + } + out[1][k] = 0; + + return out; +} + +// n bits per register +// a has k + 1 registers +// b has k registers +// assumes leading digit of b is at least 2 ** (n - 1) +// 0 <= a < (2**n) * b +function short_div_norm(n, k, a, b) { + var qhat = (a[k] * (1 << n) + a[k - 1]) \ b[k - 1]; + if (qhat > (1 << n) - 1) { + qhat = (1 << n) - 1; + } + + var mult[100] = long_scalar_mult(n, k, qhat, b); + if (long_gt(n, k + 1, mult, a) == 1) { + mult = long_sub(n, k + 1, mult, b); + if (long_gt(n, k + 1, mult, a) == 1) { + return qhat - 2; + } else { + return qhat - 1; + } + } else { + return qhat; + } +} + +// n bits per register +// a has k + 1 registers +// b has k registers +// assumes leading digit of b is non-zero +// 0 <= a < (2**n) * b +function short_div(n, k, a, b) { + var scale = (1 << n) \ (1 + b[k - 1]); + + // k + 2 registers now + var norm_a[200] = long_scalar_mult(n, k + 1, scale, a); + // k + 1 registers now + var norm_b[200] = long_scalar_mult(n, k, scale, b); + + var ret; + if (norm_b[k] != 0) { + ret = short_div_norm(n, k + 1, norm_a, norm_b); + } else { + ret = short_div_norm(n, k, norm_a, norm_b); + } + return ret; +} + +// n bits per register +// a and b both have k registers +// out[0] has length 2 * k +// adapted from BigMulShortLong and LongToShortNoEndCarry2 witness computation +function prod(n, k, a, b) { + // first compute the intermediate values. taken from BigMulShortLong + var prod_val[100]; // length is 2 * k - 1 + for (var i = 0; i < 2 * k - 1; i++) { + prod_val[i] = 0; + if (i < k) { + for (var a_idx = 0; a_idx <= i; a_idx++) { + prod_val[i] = prod_val[i] + a[a_idx] * b[i - a_idx]; + } + } else { + for (var a_idx = i - k + 1; a_idx < k; a_idx++) { + prod_val[i] = prod_val[i] + a[a_idx] * b[i - a_idx]; + } + } + } + + // now do a bunch of carrying to make sure registers not overflowed. taken from LongToShortNoEndCarry2 + var out[100]; // length is 2 * k + + var split[100][3]; // first dimension has length 2 * k - 1 + for (var i = 0; i < 2 * k - 1; i++) { + split[i] = SplitThreeFn(prod_val[i], n, n, n); + } + + var carry[100]; // length is 2 * k - 1 + carry[0] = 0; + out[0] = split[0][0]; + if (2 * k - 1 > 1) { + var sumAndCarry[2] = SplitFn(split[0][1] + split[1][0], n, n); + out[1] = sumAndCarry[0]; + carry[1] = sumAndCarry[1]; + } + if (2 * k - 1 > 2) { + for (var i = 2; i < 2 * k - 1; i++) { + var sumAndCarry[2] = SplitFn(split[i][0] + split[i-1][1] + split[i-2][2] + carry[i-1], n, n); + out[i] = sumAndCarry[0]; + carry[i] = sumAndCarry[1]; + } + out[2 * k - 1] = split[2*k-2][1] + split[2*k-3][2] + carry[2*k-2]; + } + return out; +} + +// n bits per register +// a has k registers +// p has k registers +// e has k registers +// k * n <= 500 +// p is a prime +// computes a^e mod p +function mod_exp(n, k, a, p, e) { + var eBits[500]; // length is k * n + for (var i = 0; i < k; i++) { + for (var j = 0; j < n; j++) { + eBits[j + n * i] = (e[i] >> j) & 1; + } + } + + var out[100]; // length is k + for (var i = 0; i < 100; i++) { + out[i] = 0; + } + out[0] = 1; + + // repeated squaring + for (var i = k * n - 1; i >= 0; i--) { + // multiply by a if bit is 0 + if (eBits[i] == 1) { + var temp[200]; // length 2 * k + temp = prod(n, k, out, a); + var temp2[2][100]; + temp2 = long_div(n, k, temp, p); + out = temp2[1]; + } + + // square, unless we're at the end + if (i > 0) { + var temp[200]; // length 2 * k + temp = prod(n, k, out, out); + var temp2[2][100]; + temp2 = long_div(n, k, temp, p); + out = temp2[1]; + } + + } + return out; +} + +// n bits per register +// a has k registers +// p has k registers +// k * n <= 500 +// p is a prime +// if a == 0 mod p, returns 0 +// else computes inv = a^(p-2) mod p +function mod_inv(n, k, a, p) { + var isZero = 1; + for (var i = 0; i < k; i++) { + if (a[i] != 0) { + isZero = 0; + } + } + if (isZero == 1) { + var ret[100]; + for (var i = 0; i < k; i++) { + ret[i] = 0; + } + return ret; + } + + var pCopy[100]; + for (var i = 0; i < 100; i++) { + if (i < k) { + pCopy[i] = p[i]; + } else { + pCopy[i] = 0; + } + } + + var two[100]; + for (var i = 0; i < 100; i++) { + two[i] = 0; + } + two[0] = 2; + + var pMinusTwo[100]; + pMinusTwo = long_sub(n, k, pCopy, two); // length k + var out[100]; + out = mod_exp(n, k, a, pCopy, pMinusTwo); + return out; +} diff --git a/circuits/verify.circom b/circuits/verify.circom new file mode 100644 index 0000000..c168661 --- /dev/null +++ b/circuits/verify.circom @@ -0,0 +1,195 @@ +pragma circom 2.0.0; + +include "./scalarmul.circom"; +include "./modulus.circom"; +include "./point-addition.circom"; +include "./pointcompress.circom"; + +include "../node_modules/@electron-labs/sha512/circuits/sha512/sha512.circom"; +include "../node_modules/circomlib/circuits/comparators.circom"; +include "../node_modules/circomlib/circuits/gates.circom"; + +template Ed25519Verifier(n) { + assert(n % 8 == 0); + + signal input msg[n]; + + signal input A[256]; + signal input R8[256]; + signal input S[255]; + + signal input PointA[4][3]; + signal input PointR[4][3]; + + signal output out; + + var G[4][3] = [[6836562328990639286768922, 21231440843933962135602345, 10097852978535018773096760], + [7737125245533626718119512, 23211375736600880154358579, 30948500982134506872478105], + [1, 0, 0], + [20943500354259764865654179, 24722277920680796426601402, 31289658119428895172835987] + ]; + + var i; + var j; + + component compressA = PointCompress(); + component compressR = PointCompress(); + for (i=0; i<4; i++) { + for (j=0; j<3; j++) { + compressA.P[i][j] <== PointA[i][j]; + compressR.P[i][j] <== PointR[i][j]; + } + } + + for (i=0; i<256; i++) { + compressA.out[i] === A[i]; + compressR.out[i] === R8[i]; + } + + component hash = Sha512(n+256+256); + for (i=0; i<256; i+=8) { + for(j=0; j<8; j++) { + hash.in[i+j] <== R8[i+(7-j)]; + hash.in[256+i+j] <== A[i+(7-j)]; + } + } + for (i=0; i { + const accounts = await hre.ethers.getSigners(); + + for (const account of accounts) { + console.log(account.address); + } +}); + +module.exports = { + solidity: "0.6.11", +}; diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000..a8ccb28 --- /dev/null +++ b/package-lock.json @@ -0,0 +1,31209 @@ +{ + "name": "@electron-labs/ed25519-circom", + "version": "0.0.1", + "lockfileVersion": 2, + "requires": true, + "packages": { + "": { + "name": "@electron-labs/ed25519-circom", + "version": "0.0.1", + "license": "UNLICENSED", + "dependencies": { + "@electron-labs/sha512": "^1.0.4" + }, + "devDependencies": { + "@nomiclabs/hardhat-ethers": "^2.1.1", + "@nomiclabs/hardhat-waffle": "^2.0.3", + "axios": "^0.27.2", + "bigint-mod-arith": "^3.1.0", + "chai": "^4.3.6", + "circom_tester": "0.0.14", + "circomlib": "^2.0.5", + "circomlibjs": "^0.1.7", + "eslint": "^8.22.0", + "eslint-config-airbnb-base": "^15.0.0", + "eslint-plugin-import": "^2.26.0", + "ethereum-waffle": "^3.4.4", + "ethers": "^5.6.9", + "fast-check": "^3.1.1", + "hardhat": "^2.10.1", + "keccak256": "1.0.6", + "mocha": "^10.0.0", + "mocha-logger": 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--exclude test/batchverify*", + "test-inverse-modulo": "mocha --colors --max-old-space-size=4000 --timeout 150000 test/inversemodulo.test.js", + "test-scalarmul": "mocha --colors --max-old-space-size=4000 --timeout 300000 test/scalarmul.test.js", + "test-verify": "mocha --colors --max-old-space-size=4000 --timeout 4000000 test/ed25519verfication.test.js ", + "test-batch-verify": "mocha --colors --max-old-space-size=4000 --timeout 12000000 test/batchverify.test.js", + "clean": "rm -rf node_modules && make clean && npm i", + "lint": "eslint test/*.test.js --fix", + "publish-npm": "npm publish --access public --ignore-scripts --@OWNER:registry='https://registry.npmjs.org'", + "publish-github": "npm publish --access public --ignore-scripts --@electron-labs:registry='https://npm.pkg.github.com'" + }, + "keywords": [ + "circuit", + "circom", + "zksnark" + ], + "repository": { + "type": "git", + "url": "https://github.com/Electron-Labs/ed25519-circom.git" + }, + "author": "rahulghangas, garvitgoel, BakerStreetPhantom, suniljalandhra", + "license": "UNLICENSED", + "dependencies": { + "@electron-labs/sha512": "^1.0.4" + }, + "devDependencies": { + "@nomiclabs/hardhat-ethers": "^2.1.1", + "@nomiclabs/hardhat-waffle": "^2.0.3", + "axios": "^0.27.2", + "bigint-mod-arith": "^3.1.0", + "chai": "^4.3.6", + "circom_tester": "0.0.14", + "circomlib": "^2.0.5", + "circomlibjs": "^0.1.7", + "eslint": "^8.22.0", + "eslint-config-airbnb-base": "^15.0.0", + "eslint-plugin-import": "^2.26.0", + "ethereum-waffle": "^3.4.4", + "ethers": "^5.6.9", + "fast-check": "^3.1.1", + "hardhat": "^2.10.1", + "keccak256": "1.0.6", + "mocha": "^10.0.0", + "mocha-logger": "^1.0.8" + } +} diff --git a/test/batchverify.test.js b/test/batchverify.test.js new file mode 100644 index 0000000..c937788 --- /dev/null +++ b/test/batchverify.test.js @@ -0,0 +1,254 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const crypto = require('crypto'); +const utils = require('./utils'); + +// describe('Batch Verification', () => { +// describe('when testing against three test vectors with 16 bits of message', () => { +// it('should verify correctly', async () => { +// const cir = await wasmTester(path.join(__dirname, 'circuits', 'batchverify.circom')); +// const pointA = [ +// [ +// 43933056957747458452560886832567536073542840507013052263144963060608791330050n, +// 16962727616734173323702303146057009569815335830970791807500022961899349823996n, +// 1n, +// 47597536765056690778342994103149503974598380825968728087754575050160026478564n, +// ], [ +// 38815646466658113194383306759739515082307681141926459231621296960732224964046n, +// 11903303657706407974989296177215005343713679411332034699907763981919547054807n, +// 1n, +// 31275909032640112889229532081174740659065478602231738919115306243253221725764n, +// ], [ +// 52774231920053734232574595727734981596546427020284349182563870143297718469550n, +// 5609657767448528674903586191599477543993232845525898641911799861560072421437n, +// 1n, +// 9309742961692514850659860522489925904126645789919881184413324359838337921138n, +// ], +// ]; +// const pointR = [ +// [ +// 26073464383897998325899031212762184271676052677226679463708862316754828477519n, +// 20246927599389923510374971105736264637524117420538179767629249587300902801762n, +// 1n, +// 7867784340861643381702890578607277776011430152424699121581244161773093676488n, +// ], [ +// 44370630452101398467924320556439323233869374150616132215183787387252341590058n, +// 38448863731492799660668882834560725606410712239157980760146247592118262650597n, +// 1n, +// 28837567775264640306185442010835055372505962142426868564781195691916034475874n, +// ], [ +// 26073464383897998325899031212762184271676052677226679463708862316754828477519n, +// 20246927599389923510374971105736264637524117420538179767629249587300902801762n, +// 1n, +// 7867784340861643381702890578607277776011430152424699121581244161773093676488n, +// ], +// ]; +// const A = [ +// 16962727616734173323702303146057009569815335830970791807500022961899349823996n, +// 11903303657706407974989296177215005343713679411332034699907763981919547054807n, +// 5609657767448528674903586191599477543993232845525898641911799861560072421437n, +// ]; +// const msg = [ +// 33455n, +// 0n, +// 114n, +// ]; +// const R8 = [ +// 78142972218048021222160463610080218564159109753358461787358041591257467621730n, +// 38448863731492799660668882834560725606410712239157980760146247592118262650597n, +// 98791237754691324676800292061057201459844646670582272148467697006051485917330n, +// ]; +// const S = [ +// 4869643893319708471955165214975585939793846505679808910535986866633137979160n, +// 5004556735901913393272427758925840403246877222315506387332009764265656498271n, +// 22493278956989295319831480986006851106061907369804654499116800046813764104n, +// ]; +// let bufMsg = []; +// let bufR8 = []; +// let bufS = []; +// let bufA = []; +// let bitsMsg = []; +// let bitsR8 = []; +// let bitsS = []; +// let bitsA = []; +// for (let i = 0; i < 3; i++) { +// bufMsg.push(utils.bigIntToLEBuffer(msg[i])); +// bufR8.push(utils.bigIntToLEBuffer(R8[i])); +// bufS.push(utils.bigIntToLEBuffer(S[i])); +// bufA.push(utils.bigIntToLEBuffer(A[i])); +// } +// for (let i = 0; i < 3; i++) { +// bitsMsg.push(utils.pad(utils.buffer2bits(bufMsg), 16)); +// bitsR8.push(utils.pad(utils.buffer2bits(bufR8), 256)); +// bitsS.push(utils.pad(utils.buffer2bits(bufS), 255).slice(0, 255)); +// bitsA.push(utils.pad(utils.buffer2bits(bufA), 256)); +// } +// const chunkA = []; +// const chunkR = []; +// for (let j = 0; j < 3; j++) { +// let chunkATemp = []; +// let chunkRTemp = []; +// for (let i = 0; i < 4; i++) { +// chunkATemp.push(utils.chunkBigInt(pointA[j][i])); +// chunkRTemp.push(utils.chunkBigInt(pointR[j][i])); +// } +// for (let i = 0; i < 4; i++) { +// utils.pad(chunkATemp[i], 5); +// utils.pad(chunkRTemp[i], 5); +// } +// chunkA.push(chunkATemp); +// chunkR.push(chunkRTemp); +// } + +// const witness = await cir.calculateWitness({ +// msg: bitsMsg, A: bitsA, R8: bitsR8, S: bitsS, PointA: chunkA, PointR: chunkR, +// }, true); +// assert.ok(witness[3] === 7n); +// }); +// }); +// }); +// describe("Batch Verification test", () => { +// describe("when testing against two test vectors", () => { +// it("should verify them correctly", async () => { +// const cir = await wasmTester(path.join(__dirname, 'circuits', 'batchverify.circom')); +// const pointA = [ +// [ +// 43933056957747458452560886832567536073542840507013052263144963060608791330050n, +// 16962727616734173323702303146057009569815335830970791807500022961899349823996n, +// 1n, +// 47597536765056690778342994103149503974598380825968728087754575050160026478564n, +// ], [ +// 38815646466658113194383306759739515082307681141926459231621296960732224964046n, +// 11903303657706407974989296177215005343713679411332034699907763981919547054807n, +// 1n, +// 31275909032640112889229532081174740659065478602231738919115306243253221725764n, +// ] +// ]; +// const pointR = [ +// [ +// 26073464383897998325899031212762184271676052677226679463708862316754828477519n, +// 20246927599389923510374971105736264637524117420538179767629249587300902801762n, +// 1n, +// 7867784340861643381702890578607277776011430152424699121581244161773093676488n, +// ], [ +// 44370630452101398467924320556439323233869374150616132215183787387252341590058n, +// 38448863731492799660668882834560725606410712239157980760146247592118262650597n, +// 1n, +// 28837567775264640306185442010835055372505962142426868564781195691916034475874n, +// ] +// ]; +// const A = [ +// 16962727616734173323702303146057009569815335830970791807500022961899349823996n, +// 11903303657706407974989296177215005343713679411332034699907763981919547054807n +// ]; +// const msg = [ +// 33455n, +// 0n +// ]; +// const R8 = [ +// 78142972218048021222160463610080218564159109753358461787358041591257467621730n, +// 38448863731492799660668882834560725606410712239157980760146247592118262650597n +// ]; +// const S = [ +// 4869643893319708471955165214975585939793846505679808910535986866633137979160n, +// 5004556735901913393272427758925840403246877222315506387332009764265656498271n +// ]; +// let bufMsg = []; +// let bufR8 = []; +// let bufS = []; +// let bufA = []; +// let bitsMsg = []; +// let bitsR8 = []; +// let bitsS = []; +// let bitsA = []; +// for (let i = 0; i < 2; i++) { +// bufMsg.push(utils.bigIntToLEBuffer(msg[i])); +// bufR8.push(utils.bigIntToLEBuffer(R8[i])); +// bufS.push(utils.bigIntToLEBuffer(S[i])); +// bufA.push(utils.bigIntToLEBuffer(A[i])); +// } +// for (let i = 0; i < 2; i++) { +// bitsMsg.push(utils.pad(utils.buffer2bits(bufMsg), 16)); +// bitsR8.push(utils.pad(utils.buffer2bits(bufR8), 256)); +// bitsS.push(utils.pad(utils.buffer2bits(bufS), 255).slice(0, 255)); +// bitsA.push(utils.pad(utils.buffer2bits(bufA), 256)); +// } +// const chunkA = []; +// const chunkR = []; +// for (let j = 0; j < 2; j++) { +// let chunkATemp = []; +// let chunkRTemp = []; +// for (let i = 0; i < 4; i++) { +// chunkATemp.push(utils.chunkBigInt(pointA[j][i])); +// chunkRTemp.push(utils.chunkBigInt(pointR[j][i])); +// } +// for (let i = 0; i < 4; i++) { +// utils.pad(chunkATemp[i], 5); +// utils.pad(chunkRTemp[i], 5); +// } +// chunkA.push(chunkATemp); +// chunkR.push(chunkRTemp); +// } +// const witness = await cir.calculateWitness({ +// msg: bitsMsg, A: bitsA, R8: bitsR8, S: bitsS, PointA: chunkA, PointR: chunkR, +// }, true); + +// assert.ok(witness[3] === 3n); +// }); +// }); +// }); +describe('Batch Verification test', () => { + describe('when testing against one test vectors with 16 bits of message', () => { + it('should verify correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'batchverify.circom')); + const pointA = [ + 43933056957747458452560886832567536073542840507013052263144963060608791330050n, + 16962727616734173323702303146057009569815335830970791807500022961899349823996n, + 1n, + 47597536765056690778342994103149503974598380825968728087754575050160026478564n, + ]; + const pointR = [ + 26073464383897998325899031212762184271676052677226679463708862316754828477519n, + 20246927599389923510374971105736264637524117420538179767629249587300902801762n, + 1n, + 7867784340861643381702890578607277776011430152424699121581244161773093676488n, + ]; + const A = 16962727616734173323702303146057009569815335830970791807500022961899349823996n; + const msg = 33455n; + const R8 = 78142972218048021222160463610080218564159109753358461787358041591257467621730n; + const S = 4869643893319708471955165214975585939793846505679808910535986866633137979160n; + const bufMsg = utils.bigIntToLEBuffer(msg); + const bufR8 = utils.bigIntToLEBuffer(R8); + const bufS = utils.bigIntToLEBuffer(S); + const bufA = utils.bigIntToLEBuffer(A); + const bitsMsg = utils.buffer2bits(bufMsg); + const bitsR8 = utils.pad(utils.buffer2bits(bufR8), 256); + const bitsS = utils.pad(utils.buffer2bits(bufS), 255).slice(0, 255); + const bitsA = utils.pad(utils.buffer2bits(bufA), 256); + const chunkA = []; + const chunkR = []; + + for (let i = 0; i < 4; i++) { + chunkA.push(utils.chunkBigInt(pointA[i], BigInt(2 ** 85))); + chunkR.push(utils.chunkBigInt(pointR[i], BigInt(2 ** 85))); + } + + for (let i = 0; i < 4; i++) { + utils.pad(chunkA[i], 3); + utils.pad(chunkR[i], 3); + } + + const witness = await cir.calculateWitness({ + msg: bitsMsg, A: bitsA, R8: bitsR8, S: bitsS, PointA: chunkA, PointR: chunkR, + }, true); + assert.ok(witness[3] === 1n); + const expected = crypto.createHash('sha256') + .update(utils.bigIntToLEBuffer(A)) + .digest('hex'); + const h = BigInt(2 ** 128); + const real = utils.bigIntToLEBuffer(BigInt(witness[1] + witness[2] * h)).toString('hex'); + assert.equal(expected, real); + }); + }); +}); diff --git a/test/binadd.test.js b/test/binadd.test.js new file mode 100644 index 0000000..95ce06b --- /dev/null +++ b/test/binadd.test.js @@ -0,0 +1,56 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const fc = require('fast-check'); +const utils = require('./utils'); + +describe('Binary Adder Test', () => { + describe('when performing binary additon on two 8 bit numbers', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binadd1.circom')); + const a = BigInt('128'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + const witness = await cir.calculateWitness({ in: [asBits, asBits] }, true); + + const expected = utils.pad(utils.buffer2bits(utils.bigIntToLEBuffer(a + a)), 9); + assert.ok(witness.slice(1, 10).every((u, i) => u === expected[i])); + }); + }); + describe('when performing binary additon on two 256 bit numbers', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binadd2.circom')); + const a = BigInt('87896044618658097711785492504343953926634992332820282019728792003956564819949'); + const b = BigInt('97896044618658097711785492504343953926634992332820282019728792003956564819948'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.buffer2bits(buf2); + const witness = await cir.calculateWitness({ in: [asBits1, asBits2] }, true); + + const expected = utils.pad(utils.buffer2bits(utils.bigIntToLEBuffer(a + b)), 257); + assert.ok(witness.slice(1, 258).every((u, i) => u === expected[i])); + }); + }); + describe('when performing binary addition on two random number of 256 bits', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binadd2.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(1n, BigInt(2 ** 256) - 1n), + fc.bigInt(1n, BigInt(2 ** 256) - 1n), + async (a, b) => { + const buf1 = utils.bigIntToLEBuffer(a); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits1 = utils.pad(utils.buffer2bits(buf1), 256); + const asBits2 = utils.pad(utils.buffer2bits(buf2), 256); + const witness = await cir.calculateWitness({ in: [asBits1, asBits2] }, true); + + const expected = utils.pad(utils.buffer2bits(utils.bigIntToLEBuffer(a + b)), 257); + return witness.slice(1, 258).every((u, i) => u === expected[i]); + }, + ), + ); + }); + }); +}); diff --git a/test/binaddirr.test.js b/test/binaddirr.test.js new file mode 100644 index 0000000..6c9a126 --- /dev/null +++ b/test/binaddirr.test.js @@ -0,0 +1,50 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const { default: fc } = require('fast-check'); +const utils = require('./utils'); + +describe('Binary addition test for irregular bits', () => { + describe('when calculating addition of two binary array of non equal length for test 56 and 40 bits ', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binaddirr.circom')); + const a = BigInt('1125899906842613'); + const b = BigInt('1099511627764'); + const buf1 = utils.bigIntToLEBuffer(a); + const buf2 = utils.bigIntToLEBuffer(b); + const bits1 = utils.buffer2bits(buf1); + const bits2 = utils.buffer2bits(buf2); + const witness = await cir.calculateWitness({ in1: bits1, in2: bits2 }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(a + b)), + 57, + ); + assert.ok(witness.slice(1, 58).every((u, i) => u === expected[i])); + }); + }); + describe('when calculating addition of two random binary array of non equal length for the test 56 and 40 bits', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binaddirr.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(2n, BigInt(2 ** 56) - 1n), + fc.bigInt(3n, BigInt(2 ** 40) - 1n), + async (a, b) => { + const buf1 = utils.bigIntToLEBuffer(a); + const buf2 = utils.bigIntToLEBuffer(b); + const bits1 = utils.pad(utils.buffer2bits(buf1), 56).slice(0, 56); + const bits2 = utils.pad(utils.buffer2bits(buf2), 40).slice(0, 40); + const witness = await cir.calculateWitness({ in1: bits1, in2: bits2 }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(a + b)), + 57, + ); + return witness.slice(1, 58).every((u, i) => u === expected[i]); + }, + ), + ); + }); + }); +}); diff --git a/test/binmul.test.js b/test/binmul.test.js new file mode 100644 index 0000000..9236150 --- /dev/null +++ b/test/binmul.test.js @@ -0,0 +1,136 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const fc = require('fast-check'); +const utils = require('./utils'); + +describe('Binary Multiplier Test', () => { + describe('when performing binary multiplication on 104 bit and an 40 bit numbers', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmul1.circom')); + const a = BigInt('282028201972879200395656481949'); + const b = BigInt('956564819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.buffer2bits(buf2); + const witness = await cir.calculateWitness({ in1: asBits1, in2: asBits2 }, true); + + const expected = utils.normalize(utils.buffer2bits(utils.bigIntToLEBuffer(a * b))); + assert.ok(witness.slice(1, 145).every((u, i) => u === expected[i])); + }); + }); + describe("when performing binary multiplication on two random number's binary array of 104 bits and 40 bits", () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmul1.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(2n, BigInt(2 ** 104) - 1n), + fc.bigInt(2n, BigInt(2 ** 40) - 1n), + async (a, b) => { + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.pad(utils.buffer2bits(buf1), 104).slice(0, 104); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.pad(utils.buffer2bits(buf2), 40).slice(0, 40); + const witness = await cir.calculateWitness({ in1: asBits1, in2: asBits2 }, true); + + const expected = utils.pad(utils.buffer2bits(utils.bigIntToLEBuffer(a * b)), 144); + return witness.slice(1, 145).every((u, i) => u === expected[i]); + }, + ), + ); + }); + }); +}); + +describe('Fast Binary Multiplier Test', () => { + describe('when performing binary multiplication on 104 bit and an 40 bit numbers', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmulfast1.circom')); + const a = BigInt('2820282019728792003956564819949'); + const b = BigInt('956564819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.buffer2bits(buf2); + const witness = await cir.calculateWitness({ in1: asBits1, in2: asBits2 }, true); + + const expected = utils.normalize(utils.buffer2bits(utils.bigIntToLEBuffer(a * b))); + assert.ok(witness.slice(1, 145).every((u, i) => u === expected[i])); + }); + }); +}); + +describe(' Fast Binary multiplication chunked 51 test', () => { + describe('When Performing binary multiplication on 4 by 4 numbers chunked by 51 bits', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmulfast51_1.circom')); + const a = BigInt(2 ** 200 - 10); + const b = BigInt(2 ** 203 - 10); + const chunk1 = utils.chunkBigInt(a); + const chunk2 = utils.chunkBigInt(b); + const witness = await cir.calculateWitness({ in1: chunk1, in2: chunk2 }); + const expected = utils.chunkBigInt(a * b); + assert.ok(witness.slice(1, 9).every((u, i) => u === expected[i])); + }); + }); + + describe('When performing binary multiplication on 4 chunks of two randomly genrated numbers chunked with base51', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmulfast51_1.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(2n, BigInt(2 ** 200) - 10n), + fc.bigInt(2n, BigInt(2 ** 203) - 10n), + async (a, b) => { + const chunk1 = utils.pad(utils.chunkBigInt(a), 4); + const chunk2 = utils.pad(utils.chunkBigInt(b), 4); + const witness = await cir.calculateWitness({ in1: chunk1, in2: chunk2 }); + const expected = utils.pad(utils.chunkBigInt(a * b), 8); + return witness.slice(1, 9).every((u, i) => u === expected[i]); + }, + ), + ); + }); + }); + + describe('When Performing binary multiplication on 4 by 1 numbers chunked by 51 bits', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmulfast51_2.circom')); + const a = BigInt(2 ** 200 - 10); + const b = BigInt(19); + const chunk1 = utils.chunkBigInt(a); + const chunk2 = utils.chunkBigInt(b); + const witness = await cir.calculateWitness({ in1: chunk1, in2: chunk2 }); + const expected = utils.chunkBigInt(a * b); + assert.ok(witness.slice(1, 6).every((u, i) => u === expected[i])); + }); + }); +}); + +describe('Check bits less then 51', () => { + describe('when a number is passed into it of 49 bits', () => { + it('should give output of 1', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmullessthan51.circom')); + const witness = await cir.calculateWitness({ in: BigInt('450359962737049') }); + + assert.ok(witness[1] === 1n); + }); + }); + + describe('when a number is passed into it of 52 bits', () => { + it('should give output of 0', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmullessthan51.circom')); + const witness = await cir.calculateWitness({ in: BigInt('4503599627370490') }); + assert.ok(witness[1] === 0n); + }); + }); + + describe('when a number is passed into it of greater than 52 bits', () => { + it('should fail on witness calculation', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binmullessthan51.circom')); + const witness = await cir.calculateWitness({ in: BigInt('45035996273704904503599627370490') }); + assert.ok(witness[1] === 0n); + }); + }); +}); diff --git a/test/binsub.test.js b/test/binsub.test.js new file mode 100644 index 0000000..51ddee9 --- /dev/null +++ b/test/binsub.test.js @@ -0,0 +1,52 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const utils = require('./utils'); + +describe('Binary Subtracter Test', () => { + describe('when performing binary subtraction on two numbers', () => { + it('should subtract them correctly when first number is greater than second number', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binsub1.circom')); + const a = BigInt('711785492504343953926634992332820282019728792003956564819949'); + const b = BigInt('711785492504343953926634992332820282019728792003956064819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + asBits1.push(0n); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.buffer2bits(buf2); + asBits2.push(0n); + const witness = await cir.calculateWitness({ in: [asBits1, asBits2] }, true); + + const expected = utils.pad( + utils.normalize(utils.buffer2bits(utils.bigIntToLEBuffer(a - b))), + 200, + ); + assert.ok(witness.slice(1, 201).every((u, i) => u === expected[i])); + assert.equal(witness[201], 0n); + }); + }); + + describe('when performing binary subtraction on two numbers', () => { + it('should subtract them correctly when second number is greater than first number', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'binsub1.circom')); + const a = BigInt('711785492504343953926634992332820282019728792003956064819949'); + const b = BigInt('711785492504343953926634992332820282019728792003956564819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + asBits1.push(0n); + const buf2 = utils.bigIntToLEBuffer(b); + const asBits2 = utils.buffer2bits(buf2); + asBits2.push(0n); + const witness = await cir.calculateWitness({ in: [asBits1, asBits2] }, true); + + const expected = utils.pad( + utils.normalize( + utils.buffer2bits(utils.bigIntToLEBuffer(BigInt(2) ** BigInt(200) - (b - a))), + ), + 200, + ); + assert.ok(witness.slice(1, 201).every((u, i) => u === expected[i])); + assert.equal(witness[201], 1n); + }); + }); +}); diff --git a/test/chunkedadd.test.js b/test/chunkedadd.test.js new file mode 100644 index 0000000..31de5f2 --- /dev/null +++ b/test/chunkedadd.test.js @@ -0,0 +1,49 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const { default: fc } = require('fast-check'); +const utils = require('./utils'); + +describe('base 51 addition test', () => { + describe('when performing chuncked addition on three 200 bits numbers', () => { + it('should add them correctly', async () => { + const cir = wasmTester(path.join(__dirname, 'circuits', 'chunkedadd.circom')); + const a = BigInt(2 ** 200) - BigInt(19); + const b = BigInt(2 ** 200) - BigInt(27); + const c = BigInt(2 ** 200) - BigInt(35); + const chunk1 = utils.chunkBigInt(a); + const chunk2 = utils.chunkBigInt(b); + const chunk3 = utils.chunkBigInt(c); + + const witness = await (await cir).calculateWitness({ in: [chunk1, chunk2, chunk3] }, true); + const expected = utils.chunkBigInt(a + b + c); + assert.ok(witness.slice(1, 5).every((u, i) => u === expected[i])); + }); + }); + describe('when performing chunked addition on four randomly genrated 200 bits numbers', () => { + it('should add them correctly', async () => { + const cir = wasmTester(path.join(__dirname, 'circuits', 'chunkedadd1.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(2n, BigInt(2 ** 200) - 19n), + fc.bigInt(2n, BigInt(2 ** 200) - 27n), + fc.bigInt(2n, BigInt(2 ** 200) - 35n), + fc.bigInt(2n, BigInt(2 ** 200) - 45n), + async (a, b, c, d) => { + const chunk1 = utils.pad(utils.chunkBigInt(a), 4); + const chunk2 = utils.pad(utils.chunkBigInt(b), 4); + const chunk3 = utils.pad(utils.chunkBigInt(c), 4); + const chunk4 = utils.pad(utils.chunkBigInt(d), 4); + + const witness = await (await cir).calculateWitness( + { in: [chunk1, chunk2, chunk3, chunk4] }, + true, + ); + const expected = utils.pad(utils.chunkBigInt(a + b + c + d), 5); + return witness.slice(1, 6).every((u, i) => u === expected[i]); + }, + ), + ); + }); + }); +}); diff --git a/test/chunkify.test.js b/test/chunkify.test.js new file mode 100644 index 0000000..22bdfb5 --- /dev/null +++ b/test/chunkify.test.js @@ -0,0 +1,31 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const utils = require('./utils'); + +function calcChunks(n) { + let numChunks = Math.floor(n / 51); + if (n % 51 !== 0) { + numChunks += 1; + } + return numChunks; +} + +describe('Chunkify Test', () => { + describe('when chunking a 256 bit number', () => { + it('should chunk it correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'chunkify1.circom')); + const a = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + const witness = await cir.calculateWitness({ in: asBits1 }, true); + + const numChunks = calcChunks(asBits1.length); + let x = BigInt('0'); + for (let i = 0; i < numChunks; i++) { + x += BigInt(witness[i + 1]) * (BigInt(2) ** (BigInt(i) * BigInt(51))); + } + assert.ok(x === a); + }); + }); +}); diff --git a/test/circuits/batchverify.circom b/test/circuits/batchverify.circom new file mode 100644 index 0000000..f46fef2 --- /dev/null +++ b/test/circuits/batchverify.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/batchverify.circom"; + +component main = BatchVerify(16, 1); \ No newline at end of file diff --git a/test/circuits/binadd1.circom b/test/circuits/binadd1.circom new file mode 100644 index 0000000..b5e6dc4 --- /dev/null +++ b/test/circuits/binadd1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/binadd.circom"; + +component main = BinAdd(8); \ No newline at end of file diff --git a/test/circuits/binadd2.circom b/test/circuits/binadd2.circom new file mode 100644 index 0000000..b6b0d57 --- /dev/null +++ b/test/circuits/binadd2.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/binadd.circom"; + +component main = BinAdd(256); \ No newline at end of file diff --git a/test/circuits/binaddirr.circom b/test/circuits/binaddirr.circom new file mode 100644 index 0000000..4ba47be --- /dev/null +++ b/test/circuits/binaddirr.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; +include "../../circuits/binadd.circom"; + +component main = BinAddIrregular(56,40); \ No newline at end of file diff --git a/test/circuits/binmul1.circom b/test/circuits/binmul1.circom new file mode 100644 index 0000000..0ad32bf --- /dev/null +++ b/test/circuits/binmul1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/binmul.circom"; + +component main = BinMul(104, 40); \ No newline at end of file diff --git a/test/circuits/binmulfast1.circom b/test/circuits/binmulfast1.circom new file mode 100644 index 0000000..1823892 --- /dev/null +++ b/test/circuits/binmulfast1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedmul.circom"; + +component main = BinMulFast(104, 40); \ No newline at end of file diff --git a/test/circuits/binmulfast51.circom b/test/circuits/binmulfast51.circom new file mode 100644 index 0000000..cb73adb --- /dev/null +++ b/test/circuits/binmulfast51.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedmul.circom"; +component main = ChunkedMul(4, 4, 51); \ No newline at end of file diff --git a/test/circuits/binmulfast51_1.circom b/test/circuits/binmulfast51_1.circom new file mode 100644 index 0000000..cb73adb --- /dev/null +++ b/test/circuits/binmulfast51_1.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedmul.circom"; +component main = ChunkedMul(4, 4, 51); \ No newline at end of file diff --git a/test/circuits/binmulfast51_2.circom b/test/circuits/binmulfast51_2.circom new file mode 100644 index 0000000..e125a0b --- /dev/null +++ b/test/circuits/binmulfast51_2.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedmul.circom"; +component main = ChunkedMul(4, 1, 51); \ No newline at end of file diff --git a/test/circuits/binmullessthan51.circom b/test/circuits/binmullessthan51.circom new file mode 100644 index 0000000..e26b9ed --- /dev/null +++ b/test/circuits/binmullessthan51.circom @@ -0,0 +1,4 @@ +pragma circom 2.0.0; +include "../../circuits/chunkedmul.circom"; + +component main = LessThanPower(51); \ No newline at end of file diff --git a/test/circuits/binsub1.circom b/test/circuits/binsub1.circom new file mode 100644 index 0000000..0badbad --- /dev/null +++ b/test/circuits/binsub1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/binsub.circom"; + +component main = BinSub(201); \ No newline at end of file diff --git a/test/circuits/chunkedadd.circom b/test/circuits/chunkedadd.circom new file mode 100644 index 0000000..4b865ab --- /dev/null +++ b/test/circuits/chunkedadd.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedadd.circom"; + +component main = ChunkedAdd(4,3,51); \ No newline at end of file diff --git a/test/circuits/chunkedadd1.circom b/test/circuits/chunkedadd1.circom new file mode 100644 index 0000000..6c4b40e --- /dev/null +++ b/test/circuits/chunkedadd1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkedadd.circom"; + +component main = ChunkedAdd(4,4,51); \ No newline at end of file diff --git a/test/circuits/chunkedmodulus.circom b/test/circuits/chunkedmodulus.circom new file mode 100644 index 0000000..bec6ce5 --- /dev/null +++ b/test/circuits/chunkedmodulus.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusWith25519Chunked51(20); \ No newline at end of file diff --git a/test/circuits/chunkify1.circom b/test/circuits/chunkify1.circom new file mode 100644 index 0000000..3ce9c63 --- /dev/null +++ b/test/circuits/chunkify1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/chunkify.circom"; + +component main = Chunkify(256, 51); \ No newline at end of file diff --git a/test/circuits/inversemodulo1.circom b/test/circuits/inversemodulo1.circom new file mode 100644 index 0000000..1e5d66b --- /dev/null +++ b/test/circuits/inversemodulo1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/inversemodulo.circom"; + +component main = InverseModulo(140); \ No newline at end of file diff --git a/test/circuits/modinv.circom b/test/circuits/modinv.circom new file mode 100644 index 0000000..81fbf04 --- /dev/null +++ b/test/circuits/modinv.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modinv.circom"; + +component main = BigModInv51(); \ No newline at end of file diff --git a/test/circuits/modulus0.circom b/test/circuits/modulus0.circom new file mode 100644 index 0000000..ecdf04e --- /dev/null +++ b/test/circuits/modulus0.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusAgainst2P(); \ No newline at end of file diff --git a/test/circuits/modulus1.circom b/test/circuits/modulus1.circom new file mode 100644 index 0000000..df8d1df --- /dev/null +++ b/test/circuits/modulus1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusWith25519(240); \ No newline at end of file diff --git a/test/circuits/modulus2.circom b/test/circuits/modulus2.circom new file mode 100644 index 0000000..d0ae3a9 --- /dev/null +++ b/test/circuits/modulus2.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusWith25519(264); \ No newline at end of file diff --git a/test/circuits/modulusagainst2p.circom b/test/circuits/modulusagainst2p.circom new file mode 100644 index 0000000..50eeb38 --- /dev/null +++ b/test/circuits/modulusagainst2p.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusAgainst2PChunked51(); \ No newline at end of file diff --git a/test/circuits/modulusq1.circom b/test/circuits/modulusq1.circom new file mode 100644 index 0000000..2e6ba33 --- /dev/null +++ b/test/circuits/modulusq1.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusWith252c(240); \ No newline at end of file diff --git a/test/circuits/modulusq2.circom b/test/circuits/modulusq2.circom new file mode 100644 index 0000000..d85b451 --- /dev/null +++ b/test/circuits/modulusq2.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/modulus.circom"; + +component main = ModulusWith252c(264); \ No newline at end of file diff --git a/test/circuits/point-addition51.circom b/test/circuits/point-addition51.circom new file mode 100644 index 0000000..9532cf1 --- /dev/null +++ b/test/circuits/point-addition51.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/point-addition.circom"; + +component main = PointAdd(); \ No newline at end of file diff --git a/test/circuits/pointcompress.circom b/test/circuits/pointcompress.circom new file mode 100644 index 0000000..5209e50 --- /dev/null +++ b/test/circuits/pointcompress.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/pointcompress.circom"; + +component main = PointCompress(); \ No newline at end of file diff --git a/test/circuits/scalarmul.circom b/test/circuits/scalarmul.circom new file mode 100644 index 0000000..b656916 --- /dev/null +++ b/test/circuits/scalarmul.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/scalarmul.circom"; + +component main = ScalarMul(); \ No newline at end of file diff --git a/test/circuits/verify.circom b/test/circuits/verify.circom new file mode 100644 index 0000000..34d463b --- /dev/null +++ b/test/circuits/verify.circom @@ -0,0 +1,5 @@ +pragma circom 2.0.0; + +include "../../circuits/verify.circom"; + +component main = Ed25519Verifier(16); \ No newline at end of file diff --git a/test/contract.test.js b/test/contract.test.js new file mode 100644 index 0000000..2e13598 --- /dev/null +++ b/test/contract.test.js @@ -0,0 +1,293 @@ +/* eslint-disable */ +const { expect } = require("chai"); +const hre = require("hardhat"); +const axios = require("axios"); + +describe("Verifier Contract", () => { + // it("should query ", async () => { + // const options = { + + // method: 'POST', + + // url: 'http://3.23.60.176:4000/prove', + + // headers: {Accept: 'application/json', 'Content-Type': 'application/json'}, + + // data: { + + // msg: 'af82', + + // pubkeys: [ + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025', + + // 'fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025' + + // ], + + // sigs: [ + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a', + + // '6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a' + + // ] + + // } + + // }; + + + // axios.request(options).then(function (response) { + // console.log(response.data); + // expect(response.data !== undefined); + // expect (response.data.id !== undefined); + // }).catch(function (error) { + // console.error(error); + // expect(false); + // }); + // }) + + it("should be to able to query calldata for returned id", async() => { + const id = '1de8eec0-5b8e-4a32-a5dc-c7a5fae5bd16'; + const options = { + method: 'GET', + url: `http://3.23.60.176:4000/proof/${id}` + } + + const response = await axios.request(options); + console.log(response.data); + expect(response.data !== undefined); + expect (response.data.calldata !== undefined); + }) + + it("should be able to verify valid proof", async() => { + const a = ["0x2c152847192bbc68704d841847be59f26151e69b5174746b1db7b8d8df2f7640", "0x2a488d51057b3f023b053da4ef12e3c7160854dd869275c0dbf0a15cf63fe471"] + const b = [["0x06a91e09be841bf650e1c53f73bc3a2ca8a90647f8a13b0861e628bc7d59ed0c", + "0x27205b95af56b9cccbf72ba787cfca8c29a0dce8642ac49b02fde1a803900e0e"], + ["0x2f0a4da520d1cb7361d9f0d985f987dffdd4b566cb418301d43276fc167cef8c", + "0x03d40a96f725426acd5ec947326ad4c57d4ce39ac050468bbfc562efcdf1474f"]]; + const c = ["0x09075741e96055c2054125e05241252ac429df42ff0055986d21f37baf636a9e", + "0x17c6824af4b4e33ffef0f7c69057c19f4914487629b8bd706b133bc930e6b88b"]; + const message = ["0x00000000000000000000000000000000dcc2a502969404e3aa5e5e85fde51b8b","0x000000000000000000000000000000003e3e3eaad3e44704d694d3e61f6bbaa8","0x0000000000000000000000000000000000000000000000000003ffffffffffff","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001"]; + + + const Verifier = await hre.ethers.getContractFactory("Verifier"); + const verifier = await Verifier.deploy(); + await verifier.deployed(); + + expect(await verifier.verifyProof(a, b, c, message)).to.equal(true); + }) + + it("should not be able to refute invalid proof", async() => { + + const a = ["0x2c152847192bbc68704d841847be59f26151e69b5174746b1db7b8d8df2f7640", "0x2a488d51057b3f023b053da4ef12e3c7160854dd869275c0dbf0a15cf63fe471"] + const b = [["0x06a91e09be841bf650e1c53f73bc3a2ca8a90647f8a13b0861e628bc7d59ed0c", + "0x27205b95af56b9cccbf72ba787cfca8c29a0dce8642ac49b02fde1a803900e0e"], + ["0x2f0a4da520d1cb7361d9f0d985f987dffdd4b566cb418301d43276fc167cef8c", + "0x03d40a96f725426acd5ec947326ad4c57d4ce39ac050468bbfc562efcdf1474f"]]; + const c = ["0x09075741e96055c2054125e05241252ac429df42ff0055986d21f37baf636a9e", + "0x17c6824af4b4e33ffef0f7c69057c19f4914487629b8bd706b133bc930e6b88b"]; + + // Changed the first signal of message slightly (index 3) + const message = ["0x00000000000000000000000000000000dcc2a502969404e3aa5e5e85fde51b8b","0x000000000000000000000000000000003e3e3eaad3e44704d694d3e61f6bbaa8","0x0000000000000000000000000000000000000000000000000003ffffffffffff","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000000","0x0000000000000000000000000000000000000000000000000000000000000001"]; + + const Verifier = await hre.ethers.getContractFactory("Verifier"); + const verifier = await Verifier.deploy(); + await verifier.deployed(); + + expect(await verifier.verifyProof(a, b, c, message)).to.equal(false); + }) +}); \ No newline at end of file diff --git a/test/ed25519verfication.test.js b/test/ed25519verfication.test.js new file mode 100644 index 0000000..0c52094 --- /dev/null +++ b/test/ed25519verfication.test.js @@ -0,0 +1,113 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const { performance } = require('perf_hooks'); +const mlog = require('mocha-logger'); +const utils = require('./utils'); + +describe('ED25519 verifcation test', () => { + describe('When testing against the RFC test vector', () => { + it('should verify correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'verify.circom')); + const pointA = [ + 43933056957747458452560886832567536073542840507013052263144963060608791330050n, + 16962727616734173323702303146057009569815335830970791807500022961899349823996n, + 1n, + 47597536765056690778342994103149503974598380825968728087754575050160026478564n, + ]; + const pointR = [ + 26073464383897998325899031212762184271676052677226679463708862316754828477519n, + 20246927599389923510374971105736264637524117420538179767629249587300902801762n, + 1n, + 7867784340861643381702890578607277776011430152424699121581244161773093676488n, + ]; + const A = 16962727616734173323702303146057009569815335830970791807500022961899349823996n; + const msg = 33455n; + const R8 = 78142972218048021222160463610080218564159109753358461787358041591257467621730n; + const S = 4869643893319708471955165214975585939793846505679808910535986866633137979160n; + const bufMsg = utils.bigIntToLEBuffer(msg); + const bufR8 = utils.bigIntToLEBuffer(R8); + const bufS = utils.bigIntToLEBuffer(S); + const bufA = utils.bigIntToLEBuffer(A); + const bitsMsg = utils.buffer2bits(bufMsg); + const bitsR8 = utils.pad(utils.buffer2bits(bufR8), 256); + const bitsS = utils.pad(utils.buffer2bits(bufS), 255).slice(0, 255); + const bitsA = utils.pad(utils.buffer2bits(bufA), 256); + const chunkA = []; + const chunkR = []; + + for (let i = 0; i < 4; i++) { + chunkA.push(utils.chunkBigInt(pointA[i], BigInt(2 ** 85))); + chunkR.push(utils.chunkBigInt(pointR[i], BigInt(2 ** 85))); + } + + for (let i = 0; i < 4; i++) { + utils.pad(chunkA[i], 3); + utils.pad(chunkR[i], 3); + } + try { + const startTime = performance.now(); + const witness = await cir.calculateWitness({ + msg: bitsMsg, A: bitsA, R8: bitsR8, S: bitsS, PointA: chunkA, PointR: chunkR, + }); + const endTime = performance.now(); + mlog.success(`Call to calculate witness took ${endTime - startTime} milliseconds`); + assert.ok(witness[0] === 1n); + assert.ok(witness[1] === 1n); + } catch (e) { + mlog.error(e); + assert.ok(false); + } + }); + }); + + describe('When testing against the RFC test vector', () => { + it('should verify correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'verify.circom')); + const pointA = [ + 43933056957747458452560886832567536073542840507013052263144963060608791330050n, + 16962727616734173323702303146057009569815335830970791807500022961899349823996n, + 1n, + 47597536765056690778342994103149503974598380825968728087754575050160026478564n]; + const pointR = [ + 26073464383897998325899031212762184271676052677226679463708862316754828477519n, + 20246927599389923510374971105736264637524117420538179767629249587300902801762n, + 1n, + 7867784340861643381702890578607277776011430152424699121581244161773093676488n]; + const A = 16962727616734173323702303146057009569815335830970791807500022961899349823996n; + const msg = 33456n; + const R8 = 78142972218048021222160463610080218564159109753358461787358041591257467621730n; + const S = 4869643893319708471955165214975585939793846505679808910535986866633137979160n; + const bufMsg = utils.bigIntToLEBuffer(msg); + const bufR8 = utils.bigIntToLEBuffer(R8); + const bufS = utils.bigIntToLEBuffer(S); + const bufA = utils.bigIntToLEBuffer(A); + const bitsMsg = utils.buffer2bits(bufMsg); + const bitsR8 = utils.pad(utils.buffer2bits(bufR8), 256); + const bitsS = utils.pad(utils.buffer2bits(bufS), 255).slice(0, 255); + const bitsA = utils.pad(utils.buffer2bits(bufA), 256); + const chunkA = []; + const chunkR = []; + + for (let i = 0; i < 4; i++) { + chunkA.push(utils.chunkBigInt(pointA[i], BigInt(2 ** 85))); + chunkR.push(utils.chunkBigInt(pointR[i], BigInt(2 ** 85))); + } + + for (let i = 0; i < 4; i++) { + utils.pad(chunkA[i], 3); + utils.pad(chunkR[i], 3); + } + try { + const witness = await cir.calculateWitness({ + msg: bitsMsg, A: bitsA, R8: bitsR8, S: bitsS, PointA: chunkA, PointR: chunkR, + }); + assert.ok(witness[0] === 1n); + assert.ok(witness[1] === 0n); + } catch (e) { + mlog.error(e); + assert.ok(false); + } + }); + }); +}); diff --git a/test/inversemodulo.test.js b/test/inversemodulo.test.js new file mode 100644 index 0000000..b3566bb --- /dev/null +++ b/test/inversemodulo.test.js @@ -0,0 +1,23 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const bigintModArith = require('bigint-mod-arith'); +const utils = require('./utils'); + +describe('Inverse Modulo Test', () => { + describe('when performing inverse modulo on a 104 bit number', () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + it('should find the inverse', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'inversemodulo1.circom')); + const a = BigInt('2820282019728792003956564819949'); + const buf1 = utils.bigIntToLEBuffer(a); + const asBits1 = utils.buffer2bits(buf1); + const witness = await cir.calculateWitness({ in: asBits1 }, true); + + const inv = bigintModArith.modInv(a, p); + const expected = utils.pad(utils.buffer2bits(utils.bigIntToLEBuffer(inv)), 255); + + assert.ok(witness.slice(1, 256).every((u, i) => u === expected[i])); + }); + }); +}); diff --git a/test/modinv.test.js b/test/modinv.test.js new file mode 100644 index 0000000..36c670f --- /dev/null +++ b/test/modinv.test.js @@ -0,0 +1,41 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const bigintModArith = require('bigint-mod-arith'); +const fc = require('fast-check'); +const utils = require('./utils'); + +describe('Inverse Modulo test for base51', () => { + describe('when Performing inverse modulo on a 255 bit number', () => { + const p = BigInt(2 ** 255) - BigInt(19); + it('Should calculate the inverse correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modinv.circom')); + const a = BigInt(2 ** 255) - BigInt(20); + const chunk = utils.chunkBigInt(a, BigInt(2 ** 85)); + const witness = await cir.calculateWitness({ in: chunk }, true); + const inv = bigintModArith.modInv(a, p); + const expected = utils.chunkBigInt(inv, BigInt(2 ** 85)); + assert.ok(witness.slice(1, 4).every((u, i) => u === expected[i])); + }); + }); + describe('when calculating inverse modulo on field elements', () => { + const p = BigInt(2 ** 255) - BigInt(19); + + it('Should calculate the inverse correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modinv.circom')); + await fc.assert( + fc.asyncProperty(fc.bigInt(1n, p - 1n), async (data) => { + const witness = await cir.calculateWitness( + { in: utils.pad(utils.chunkBigInt(data, BigInt(2 ** 85)), 3) }, + true, + ); + const expected = utils.pad(utils.chunkBigInt( + bigintModArith.modInv(data, p), + BigInt(2 ** 85), + ), 3); + return witness.slice(1, 4).every((u, i) => u === expected[i]); + }), + ); + }); + }); +}); diff --git a/test/modulus.test.js b/test/modulus.test.js new file mode 100644 index 0000000..4e5267f --- /dev/null +++ b/test/modulus.test.js @@ -0,0 +1,153 @@ +const path = require('path'); +const assert = require('assert'); +const bigintModArith = require('bigint-mod-arith'); +const wasmTester = require('circom_tester').wasm; +const utils = require('./utils'); +// const { performance } = require('perf_hooks'); + +describe('Modulus Test', () => { + describe('when performing modulus on a number in prime field 25519 ', () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + + it('should calculate the modulus correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulus0.circom')); + const a = BigInt('107896044618658097711785492504343953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + const witness = await cir.calculateWitness({ in: asBits }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, p))), + 255, + ); + assert.ok(witness.slice(1, 256).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a number in prime field 25519 ', () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + + it('should calculate the modulus correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulus0.circom')); + const a = BigInt('3953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.pad(utils.buffer2bits(buf), 256); + const witness = await cir.calculateWitness({ in: asBits }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, p))), + 255, + ); + assert.ok(witness.slice(1, 256).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a binary number of 240 bits in prime field of prime 25519', () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + + it('should calculate the modulus of the binary number correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulus1.circom')); + const a = BigInt('44618658097711785492504343953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + const witness = await cir.calculateWitness({ in: asBits }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, p))), + 255, + ); + assert.ok(witness.slice(1, 256).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a binary number of 264 bits in prime field of prime 25519', () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + + it('should calculate the modulus of the binary number correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulus2.circom')); + const a = BigInt('1257896044618658097711785492504343953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + // var startTime = performance.now(); + const witness = await cir.calculateWitness({ in: asBits }, true); + // var endTime = performance.now(); + // console.log(`Call to calculate witness took ${endTime - startTime} milliseconds`); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, p))), + 264, + ); + assert.ok(witness.slice(1, 256).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a binary number of 240 bits in prime field of prime 252c', () => { + const q = BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'); + + it('should calculate the modulus of the binary number correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulusq1.circom')); + const a = BigInt('44618658097711785492504343953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + const witness = await cir.calculateWitness({ in: asBits }, true); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, q))), + 253, + ); + assert.ok(witness.slice(1, 254).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a binary number of 264 bits in prime field of prime 252c', () => { + const q = BigInt('7237005577332262213973186563042994240857116359379907606001950938285454250989'); + + it('should calculate the modulus of the binary number correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulusq2.circom')); + const a = BigInt('1257896044618658097711785492504343953926634992332820282019728792003956564819949'); + const buf = utils.bigIntToLEBuffer(a); + const asBits = utils.buffer2bits(buf); + // var startTime = performance.now(); + const witness = await cir.calculateWitness({ in: asBits }, true); + // var endTime = performance.now(); + // console.log(`Call to calculate witness took ${endTime - startTime} milliseconds`); + + const expected = utils.pad( + utils.buffer2bits(utils.bigIntToLEBuffer(bigintModArith.modPow(a, 1, q))), + 253, + ); + + assert.ok(witness.slice(1, 254).every((u, i) => u === expected[i])); + }); + }); + + describe('when performing modulus on a number of 32 chunks each chunk of size 51 bits in prime field of prime 25519', () => { + it('should calculate the modulus of that number correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'chunkedmodulus.circom')); + const chunk = [ + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 38685626227668133590597631n, + 131071n]; + const witness = await cir.calculateWitness({ in: chunk }, true); + const expected = [38685626227668133590597631n, 6166397714431n, 0n]; + assert.ok(witness.slice(1, 4).every((u, i) => u === expected[i])); + }); + }); +}); diff --git a/test/modulusagainst2p.test.js b/test/modulusagainst2p.test.js new file mode 100644 index 0000000..4061bda --- /dev/null +++ b/test/modulusagainst2p.test.js @@ -0,0 +1,37 @@ +const path = require('path'); +const assert = require('assert'); +const bigintModArith = require('bigint-mod-arith'); +const wasmTester = require('circom_tester').wasm; +const utils = require('./utils'); +// const { performance } = require('perf_hooks'); + +describe('Modulus Test against 2P', () => { + const arr = [ + 57896044618658097711785492504343953926634992332820282019728792003956564818925n, + 57896044618658096104847448245353678384672899991657679497525798221163729518573n, + 57896044618658097711785492504342526678942286372939223733759342508820182073325n, + 57896044618658097711783960008803088037776633985793131710545173264834381217773n, + 57896044618658097711785492504343953926634992332800474979100225919558178832365n, + 115792089237316193816632940749697632311307892324477961517254590225120294338522n, + 115792089237263539277736706415338948839428149449481116491757309452285974151130n, + 115792087511879608725930038149998942284013621552863320996860945217282073690074n, + 115791978809374646774550386052594111420862745447897009313272701407525548851162n, + 115790322390251417039241401711187164934754157181743688420499462401711837020122n, + ]; + + for (let iter = 0; iter < arr.length; iter++) { + const num = arr[iter]; + describe(`when perforrming modulo p against a number ${num} less than 2p`, () => { + const p = BigInt('57896044618658097711785492504343953926634992332820282019728792003956564819949'); + + it('should ouput the correct value, less than p', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'modulusagainst2p.circom')); + + const chunked = utils.pad(utils.chunkBigInt(num, BigInt(2 ** 85)), 4); + const witness = await cir.calculateWitness({ in: chunked }, true); + const expected = utils.chunkBigInt(bigintModArith.modPow(num, 1, p), BigInt(2 ** 85)); + assert.ok(witness.slice(1, 4).every((u, i) => u === expected[i])); + }); + }); + } +}); diff --git a/test/pointadd.test.js b/test/pointadd.test.js new file mode 100644 index 0000000..f268885 --- /dev/null +++ b/test/pointadd.test.js @@ -0,0 +1,103 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const { default: fc } = require('fast-check'); +const utils = require('./utils'); + +describe('Point Addition test on ed25519', () => { + describe('when performing point addition on the EC of 255 bits ', () => { + it('should add them correctly ', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'point-addition51.circom')); + const p = BigInt(2 ** 255) - BigInt(19); + const P = [ + 15112221349535400772501151409588531511454012693041857206046113283949847762202n, + 46316835694926478169428394003475163141307993866256225615783033603165251855960n, + 1n, + 46827403850823179245072216630277197565144205554125654976674165829533817101731n, + ]; + const Q = [ + 15112221349535400772501151409588531511454012693041857206046113283949847762202n, + 46316835694926478169428394003475163141307993866256225615783033603165251855960n, + 1n, + 46827403850823179245072216630277197565144205554125654976674165829533817101731n, + ]; + + const chunk1 = []; + const chunk2 = []; + for (let i = 0; i < 4; i++) { + chunk1.push(utils.chunkBigInt(P[i], BigInt(2 ** 85))); + chunk2.push(utils.chunkBigInt(Q[i], BigInt(2 ** 85))); + } + for (let i = 0; i < 4; i++) { + utils.pad(chunk1[i], 3); + utils.pad(chunk2[i], 3); + } + const witness = await cir.calculateWitness({ P: chunk1, Q: chunk2 }, true); + const res = utils.point_add(P, Q); + const expected = []; + for (let i = 0; i < 4; i++) { + expected.push((utils.modulus(res[i], p))); + } + const wt = witness.slice(1, 13); + const chunk = []; + for (let i = 0; i < 4; i++) { + chunk.push(wt.slice(3 * i, 3 * i + 3)); + } + + const dechunkedWt = []; + for (let i = 0; i < 4; i++) { + dechunkedWt.push(utils.dechunk(chunk[i], BigInt(2 ** 85))); + } + + assert.ok( + utils.point_equal(expected, dechunkedWt), + ); + }); + }); + describe('when performing point addition on EC', () => { + it('should add them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'point-addition51.circom')); + const p = BigInt(2 ** 255) - BigInt(19); + + await fc.assert( + fc.asyncProperty( + fc.bigInt(BigInt(2 ** 150), BigInt(2 ** 254) - 2000n), + fc.bigInt(BigInt(2 ** 155), BigInt(2 ** 254) - 2025n), + fc.bigInt(BigInt(2 ** 165), BigInt(2 ** 254) - 2203n), + fc.bigInt(BigInt(2 ** 175), BigInt(2 ** 254) - 2403n), + async (a, b, c, d) => { + const P = [a, b, c, d]; + const Q = [a, b, c, d]; + const chunk1 = []; + const chunk2 = []; + for (let i = 0; i < 4; i++) { + chunk1.push(utils.chunkBigInt(P[i], BigInt(2 ** 85))); + chunk2.push(utils.chunkBigInt(Q[i], BigInt(2 ** 85))); + } + for (let i = 0; i < 4; i++) { + utils.pad(chunk1[i], 3); + utils.pad(chunk2[i], 3); + } + const witness = await cir.calculateWitness({ P: chunk1, Q: chunk2 }); + const res = utils.point_add(P, Q); + const expected = []; + for (let i = 0; i < 4; i++) { + expected.push(utils.modulus(res[i], p)); + } + const wt = witness.slice(1, 13); + const chunk = []; + for (let i = 0; i < 4; i++) { + chunk.push(wt.slice(3 * i, 3 * i + 3)); + } + + const dechunkedWt = []; + for (let i = 0; i < 4; i++) { + dechunkedWt.push(utils.dechunk(chunk[i], BigInt(2 ** 85))); + } + return utils.point_equal(expected, dechunkedWt); + }, + ), + ); + }); + }); +}); diff --git a/test/pointcompress.test.js b/test/pointcompress.test.js new file mode 100644 index 0000000..c021991 --- /dev/null +++ b/test/pointcompress.test.js @@ -0,0 +1,53 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const fc = require('fast-check'); +const utils = require('./utils'); + +describe('Point compress test for base51', () => { + describe('when performing point compress on a point', () => { + it('should compresss them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'pointcompress.circom')); + const P = [ + 15112221349535400772501151409588531511454012693041857206046113283949847762202n, + 46316835694926478169428394003475163141307993866256225615783033603165251855960n, + 1n, + 46827403850823179245072216630277197565144205554125654976674165829533817101731n, + ]; + const chunk = []; + for (let i = 0; i < 4; i++) { + chunk.push(utils.chunkBigInt(P[i], BigInt(2 ** 85))); + } + for (let i = 0; i < 4; i++) { + utils.pad(chunk[i], 3); + } + const witness = await cir.calculateWitness({ P: chunk }, true); + const res = utils.point_compress(P); + assert.ok(witness.slice(1, 257).every((u, i) => u === res[i])); + }); + }); + describe('when performing point compress on a point', () => { + it('should calculate the compress correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'pointcompress.circom')); + await fc.assert( + fc.asyncProperty( + fc.bigInt(2n, BigInt(2 ** 254) - 2000n), + fc.bigInt(2n, BigInt(2 ** 254) - 2025n), + fc.bigInt(1n, BigInt(2 ** 254) - 2203n), + fc.bigInt(3n, BigInt(2 ** 254) - 2403n), + async (a, b, c, d) => { + const chunk = []; + chunk.push(utils.pad(utils.chunkBigInt(a, BigInt(2 ** 85)), 3)); + chunk.push(utils.pad(utils.chunkBigInt(b, BigInt(2 ** 85)), 3)); + chunk.push(utils.pad(utils.chunkBigInt(c, BigInt(2 ** 85)), 3)); + chunk.push(utils.pad(utils.chunkBigInt(d, BigInt(2 ** 85)), 3)); + const witness = await cir.calculateWitness({ P: chunk }, true); + const P = [a, b, c, d]; + const res = utils.pad(utils.point_compress(P), 256); + return witness.slice(1, 257).every((u, i) => u === res[i]); + }, + ), + ); + }); + }); +}); diff --git a/test/scalarmul.test.js b/test/scalarmul.test.js new file mode 100644 index 0000000..a1fa1bc --- /dev/null +++ b/test/scalarmul.test.js @@ -0,0 +1,48 @@ +const path = require('path'); +const assert = require('assert'); +const wasmTester = require('circom_tester').wasm; +const utils = require('./utils'); + +describe('Scalar multiplication for ed25519', () => { + describe('when performing scalar multiplication on curve ', () => { + it('should multiply them correctly', async () => { + const cir = await wasmTester(path.join(__dirname, 'circuits', 'scalarmul.circom')); + const p = BigInt(2 ** 255) - BigInt(19); + const s = 4869643893319708471955165214975585939793846505679808910535986866633137979160n; + const P = [ + 15112221349535400772501151409588531511454012693041857206046113283949847762202n, + 46316835694926478169428394003475163141307993866256225615783033603165251855960n, + 1n, + 46827403850823179245072216630277197565144205554125654976674165829533817101731n, + ]; + const buf = utils.bigIntToLEBuffer(s); + const asBits = utils.pad(utils.buffer2bits(buf), 255); + asBits.pop(); + const chunkP = []; + for (let i = 0; i < 4; i++) { + chunkP.push(utils.chunkBigInt(P[i], BigInt(2 ** 85))); + } + for (let i = 0; i < 4; i++) { + utils.pad(chunkP[i], 3); + } + const witness = await cir.calculateWitness({ s: asBits, P: chunkP }); + const res = utils.point_mul(s, P); + for (let i = 0; i < 4; i++) { + res[i] = utils.modulus(res[i], p); + } + const wt = witness.slice(1, 13); + const chunk = []; + for (let i = 0; i < 4; i++) { + chunk.push(wt.slice(3 * i, 3 * i + 3)); + } + + const dechunkedWt = []; + for (let i = 0; i < 4; i++) { + dechunkedWt.push(utils.dechunk(chunk[i], BigInt(2 ** 85))); + } + assert.ok( + utils.point_equal(res, dechunkedWt), + ); + }); + }); +}); diff --git a/test/utils.js b/test/utils.js new file mode 100644 index 0000000..42c5aac --- /dev/null +++ b/test/utils.js @@ -0,0 +1,137 @@ +const bigintModArith = require('bigint-mod-arith'); +function buffer2bits(buff) { + const res = []; + for (let i = 0; i < buff.length; i++) { + for (let j = 0; j < 8; j++) { + if ((buff[i] >> j) & 1) { + res.push(1n); + } else { + res.push(0n); + } + } + } + return res; +} + +function convertToEvenLength(hexInput) { + if (hexInput.length % 2 == 1) { + return '0' + hexInput; + } + return hexInput; +} + +function normalize(input) { + if (IsPowerOfTwo(input.length)) { + input.push(0n); + } + return input; +} + +function IsPowerOfTwo(x) { + return (x & (x - 1)) == 0; +} + +function bigIntToLEBuffer(x) { + return Buffer.from(convertToEvenLength(x.toString(16)), 'hex').reverse() +} + +function pad(x, n) { + var total = n - x.length; + for (var i = 0; i < total; i++) { + x.push(0n); + } + return x; +} +// This function will give the right modulud as expected +function modulus(num, p) { + return ((num % p) + p) % p; +} + +function bitsToBigInt(arr) { + res = BigInt(0); + for (var i = 0; i < arr.length; i++) { + res += (BigInt(2) ** BigInt(i)) * BigInt(arr[i]); + } + return res; +} + +// This function will convert a bigInt into the chucks of Integers +function chunkBigInt(n, mod = BigInt(2 ** 51)) { + if (!n) return [0]; + let arr = []; + while (n) { + arr.push(BigInt(modulus(n, mod))); + n /= mod; + } + return arr; +} + +let p = BigInt(2 ** 255) - BigInt(19); +let d = 37095705934669439343138083508754565189542113879843219016388785533085940283555n; +// This function will perform point addition on elliptic curve 25519 to check point addition circom +function point_add(P, Q) { + let A = modulus((P[1] - P[0]) * (Q[1] - Q[0]), p); + let B = modulus((P[1] + P[0]) * (Q[1] + Q[0]), p); + let C = modulus(BigInt(2) * P[3] * Q[3] * d, p); + let D = modulus(BigInt(2) * P[2] * Q[2], p); + + let E = B - A; + let F = D - C; + let G = D + C; + let H = B + A; + + return [E * F, G * H, F * G, E * H]; +} +//This funciton will give the point multiplcation on EC 25519 +function point_mul(s, P) { + let Q = [0n, 1n, 1n, 0n]; + while (s > 0) { + if (s & 1n) { + Q = point_add(Q, P); + } + P = point_add(P, P); + s >>= 1n; + } + return Q; +} + +function dechunk(x, mod = BigInt(2 ** 51)) { + sum = 0n; + for (let i = 0; i < x.length; i++) { + sum += (mod ** BigInt(i)) * x[i]; + } + return sum; +} +function point_equal(P, Q) { + // x1 / z1 == x2 / z2 <==> x1 * z2 == x2 * z1 + if (modulus((P[0] * Q[2] - Q[0] * P[2]), p) != 0n){ + return false + } + if (modulus((P[1] * Q[2] - Q[1] * P[2]), p) != 0n){ + return false + } + return true + +} +function point_compress(P){ + const zinv = bigintModArith.modInv(P[2],p); + let x = modulus(P[0] * zinv , p); + let y = modulus(P[1] * zinv , p); + const inter = y | ((x & 1n) << 255n) + return buffer2bits(bigIntToLEBuffer(inter)); +} +module.exports = { + buffer2bits, + convertToEvenLength, + normalize, + bigIntToLEBuffer, + pad, + chunkBigInt, + bitsToBigInt, + point_add, + modulus, + point_mul, + dechunk, + point_equal, + point_compress +}; \ No newline at end of file