├── .travis.yml ├── LICENSE ├── README.md ├── go.mod ├── go.sum ├── testdata ├── proof0.json ├── proof1.json ├── public0.json ├── public1.json ├── vk0.json └── vk1.json ├── verifier.go └── verifier_test.go /.travis.yml: -------------------------------------------------------------------------------- 1 | language: go 2 | 3 | go: 4 | - "1.13" 5 | 6 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # go-bellman-verifier [![Go Report Card](https://goreportcard.com/badge/github.com/arnaucube/go-bellman-verifier)](https://goreportcard.com/report/github.com/arnaucube/go-bellman-verifier) [![Build Status](https://travis-ci.org/arnaucube/go-bellman-verifier.svg?branch=master)](https://travis-ci.org/arnaucube/go-bellman-verifier) 2 | 3 | Groth16 zkSNARK bellman proof verifier 4 | 5 | Verify [Groth16](https://eprint.iacr.org/2016/260.pdf) proofs generated from [bellman](https://github.com/zkcrypto/bellman), using [cloudflare/bn256](https://github.com/ethereum/go-ethereum/tree/master/crypto/bn256/cloudflare) (used by [go-ethereum](https://github.com/ethereum/go-ethereum)) for the Pairing. 6 | 7 | 8 | ## Usage 9 | ```go 10 | public, err := ParsePublicRaw(publicJson) 11 | require.Nil(t, err) 12 | proof, err := ParseProofRaw(proofJson) 13 | require.Nil(t, err) 14 | vk, err := ParseVkRaw(vkJson) 15 | require.Nil(t, err) 16 | 17 | v := Verify(vk, proof, public) 18 | assert.True(t, v) 19 | ``` 20 | 21 | -------------------------------------------------------------------------------- /go.mod: -------------------------------------------------------------------------------- 1 | module bellmanverifier 2 | 3 | go 1.13 4 | 5 | require ( 6 | github.com/ethereum/go-ethereum v1.9.11 7 | github.com/stretchr/testify v1.4.0 8 | ) 9 | -------------------------------------------------------------------------------- /go.sum: -------------------------------------------------------------------------------- 1 | github.com/Azure/azure-pipeline-go v0.2.1/go.mod h1:UGSo8XybXnIGZ3epmeBw7Jdz+HiUVpqIlpz/HKHylF4= 2 | github.com/Azure/azure-pipeline-go v0.2.2/go.mod h1:4rQ/NZncSvGqNkkOsNpOU1tgoNuIlp9AfUH5G1tvCHc= 3 | github.com/Azure/azure-storage-blob-go v0.7.0/go.mod h1:f9YQKtsG1nMisotuTPpO0tjNuEjKRYAcJU8/ydDI++4= 4 | github.com/Azure/go-autorest/autorest v0.9.0/go.mod h1:xyHB1BMZT0cuDHU7I0+g046+BFDTQ8rEZB0s4Yfa6bI= 5 | github.com/Azure/go-autorest/autorest/adal v0.5.0/go.mod h1:8Z9fGy2MpX0PvDjB1pEgQTmVqjGhiHBW7RJJEciWzS0= 6 | github.com/Azure/go-autorest/autorest/adal v0.8.0/go.mod h1:Z6vX6WXXuyieHAXwMj0S6HY6e6wcHn37qQMBQlvY3lc= 7 | github.com/Azure/go-autorest/autorest/date v0.1.0/go.mod h1:plvfp3oPSKwf2DNjlBjWF/7vwR+cUD/ELuzDCXwHUVA= 8 | github.com/Azure/go-autorest/autorest/date v0.2.0/go.mod h1:vcORJHLJEh643/Ioh9+vPmf1Ij9AEBM5FuBIXLmIy0g= 9 | github.com/Azure/go-autorest/autorest/mocks v0.1.0/go.mod h1:OTyCOPRA2IgIlWxVYxBee2F5Gr4kF2zd2J5cFRaIDN0= 10 | github.com/Azure/go-autorest/autorest/mocks v0.2.0/go.mod h1:OTyCOPRA2IgIlWxVYxBee2F5Gr4kF2zd2J5cFRaIDN0= 11 | github.com/Azure/go-autorest/autorest/mocks v0.3.0/go.mod h1:a8FDP3DYzQ4RYfVAxAN3SVSiiO77gL2j2ronKKP0syM= 12 | github.com/Azure/go-autorest/logger v0.1.0/go.mod h1:oExouG+K6PryycPJfVSxi/koC6LSNgds39diKLz7Vrc= 13 | github.com/Azure/go-autorest/tracing v0.5.0/go.mod h1:r/s2XiOKccPW3HrqB+W0TQzfbtp2fGCgRFtBroKn4Dk= 14 | github.com/BurntSushi/toml v0.3.1/go.mod h1:xHWCNGjB5oqiDr8zfno3MHue2Ht5sIBksp03qcyfWMU= 15 | github.com/OneOfOne/xxhash v1.2.2/go.mod h1:HSdplMjZKSmBqAxg5vPj2TmRDmfkzw+cTzAElWljhcU= 16 | github.com/OneOfOne/xxhash v1.2.5/go.mod h1:eZbhyaAYD41SGSSsnmcpxVoRiQ/MPUTjUdIIOT9Um7Q= 17 | github.com/StackExchange/wmi v0.0.0-20180116203802-5d049714c4a6/go.mod h1:3eOhrUMpNV+6aFIbp5/iudMxNCF27Vw2OZgy4xEx0Fg= 18 | github.com/VictoriaMetrics/fastcache v1.5.3/go.mod h1:+jv9Ckb+za/P1ZRg/sulP5Ni1v49daAVERr0H3CuscE= 19 | github.com/alecthomas/template v0.0.0-20160405071501-a0175ee3bccc/go.mod h1:LOuyumcjzFXgccqObfd/Ljyb9UuFJ6TxHnclSeseNhc= 20 | github.com/alecthomas/units v0.0.0-20151022065526-2efee857e7cf/go.mod h1:ybxpYRFXyAe+OPACYpWeL0wqObRcbAqCMya13uyzqw0= 21 | github.com/allegro/bigcache v1.2.1-0.20190218064605-e24eb225f156/go.mod 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103 | github.com/rs/xhandler v0.0.0-20160618193221-ed27b6fd6521/go.mod h1:RvLn4FgxWubrpZHtQLnOf6EwhN2hEMusxZOhcW9H3UQ= 104 | github.com/russross/blackfriday/v2 v2.0.1/go.mod h1:+Rmxgy9KzJVeS9/2gXHxylqXiyQDYRxCVz55jmeOWTM= 105 | github.com/shurcooL/sanitized_anchor_name v1.0.0/go.mod h1:1NzhyTcUVG4SuEtjjoZeVRXNmyL/1OwPU0+IJeTBvfc= 106 | github.com/spaolacci/murmur3 v0.0.0-20180118202830-f09979ecbc72/go.mod h1:JwIasOWyU6f++ZhiEuf87xNszmSA2myDM2Kzu9HwQUA= 107 | github.com/spaolacci/murmur3 v1.0.1-0.20190317074736-539464a789e9/go.mod h1:JwIasOWyU6f++ZhiEuf87xNszmSA2myDM2Kzu9HwQUA= 108 | github.com/status-im/keycard-go v0.0.0-20190316090335-8537d3370df4/go.mod h1:RZLeN1LMWmRsyYjvAu+I6Dm9QmlDaIIt+Y+4Kd7Tp+Q= 109 | github.com/steakknife/bloomfilter v0.0.0-20180922174646-6819c0d2a570/go.mod h1:8OR4w3TdeIHIh1g6EMY5p0gVNOovcWC+1vpc7naMuAw= 110 | github.com/steakknife/hamming v0.0.0-20180906055917-c99c65617cd3/go.mod h1:hpGUWaI9xL8pRQCTXQgocU38Qw1g0Us7n5PxxTwTCYU= 111 | github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME= 112 | github.com/stretchr/testify v1.2.2/go.mod h1:a8OnRcib4nhh0OaRAV+Yts87kKdq0PP7pXfy6kDkUVs= 113 | github.com/stretchr/testify v1.3.0/go.mod h1:M5WIy9Dh21IEIfnGCwXGc5bZfKNJtfHm1UVUgZn+9EI= 114 | github.com/stretchr/testify v1.4.0 h1:2E4SXV/wtOkTonXsotYi4li6zVWxYlZuYNCXe9XRJyk= 115 | github.com/stretchr/testify v1.4.0/go.mod h1:j7eGeouHqKxXV5pUuKE4zz7dFj8WfuZ+81PSLYec5m4= 116 | github.com/syndtr/goleveldb v1.0.1-0.20190923125748-758128399b1d/go.mod h1:9OrXJhf154huy1nPWmuSrkgjPUtUNhA+Zmy+6AESzuA= 117 | github.com/tyler-smith/go-bip39 v1.0.1-0.20181017060643-dbb3b84ba2ef/go.mod h1:sJ5fKU0s6JVwZjjcUEX2zFOnvq0ASQ2K9Zr6cf67kNs= 118 | github.com/urfave/cli v1.22.1/go.mod h1:Gos4lmkARVdJ6EkW0WaNv/tZAAMe9V7XWyB60NtXRu0= 119 | github.com/wsddn/go-ecdh v0.0.0-20161211032359-48726bab9208/go.mod h1:IotVbo4F+mw0EzQ08zFqg7pK3FebNXpaMsRy2RT+Ees= 120 | golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w= 121 | golang.org/x/net v0.0.0-20180906233101-161cd47e91fd/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4= 122 | golang.org/x/net v0.0.0-20190628185345-da137c7871d7/go.mod h1:z5CRVTTTmAJ677TzLLGU+0bjPO0LkuOLi4/5GtJWs/s= 123 | golang.org/x/sync v0.0.0-20180314180146-1d60e4601c6f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= 124 | golang.org/x/sync v0.0.0-20181108010431-42b317875d0f/go.mod h1:RxMgew5VJxzue5/jJTE5uejpjVlOe/izrB70Jof72aM= 125 | golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY= 126 | golang.org/x/sys v0.0.0-20181107165924-66b7b1311ac8/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY= 127 | golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY= 128 | golang.org/x/sys v0.0.0-20190712062909-fae7ac547cb7 h1:LepdCS8Gf/MVejFIt8lsiexZATdoGVyp5bcyS+rYoUI= 129 | golang.org/x/sys v0.0.0-20190712062909-fae7ac547cb7/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs= 130 | golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ= 131 | golang.org/x/text v0.3.2/go.mod h1:bEr9sfX3Q8Zfm5fL9x+3itogRgK3+ptLWKqgva+5dAk= 132 | golang.org/x/time v0.0.0-20190308202827-9d24e82272b4/go.mod h1:tRJNPiyCQ0inRvYxbN9jk5I+vvW/OXSQhTDSoE431IQ= 133 | golang.org/x/tools v0.0.0-20180917221912-90fa682c2a6e/go.mod h1:n7NCudcB/nEzxVGmLbDWY5pfWTLqBcC2KZ6jyYvM4mQ= 134 | gopkg.in/alecthomas/kingpin.v2 v2.2.6/go.mod h1:FMv+mEhP44yOT+4EoQTLFTRgOQ1FBLkstjWtayDeSgw= 135 | gopkg.in/check.v1 v0.0.0-20161208181325-20d25e280405/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0= 136 | gopkg.in/check.v1 v1.0.0-20180628173108-788fd7840127/go.mod h1:Co6ibVJAznAaIkqp8huTwlJQCZ016jof/cbN4VW5Yz0= 137 | gopkg.in/fsnotify.v1 v1.4.7/go.mod h1:Tz8NjZHkW78fSQdbUxIjBTcgA1z1m8ZHf0WmKUhAMys= 138 | gopkg.in/natefinch/npipe.v2 v2.0.0-20160621034901-c1b8fa8bdcce/go.mod h1:5AcXVHNjg+BDxry382+8OKon8SEWiKktQR07RKPsv1c= 139 | gopkg.in/olebedev/go-duktape.v3 v3.0.0-20190213234257-ec84240a7772/go.mod h1:uAJfkITjFhyEEuUfm7bsmCZRbW5WRq8s9EY8HZ6hCns= 140 | gopkg.in/sourcemap.v1 v1.0.5/go.mod h1:2RlvNNSMglmRrcvhfuzp4hQHwOtjxlbjX7UPY/GXb78= 141 | gopkg.in/tomb.v1 v1.0.0-20141024135613-dd632973f1e7/go.mod h1:dt/ZhP58zS4L8KSrWDmTeBkI65Dw0HsyUHuEVlX15mw= 142 | gopkg.in/urfave/cli.v1 v1.20.0/go.mod h1:vuBzUtMdQeixQj8LVd+/98pzhxNGQoyuPBlsXHOQNO0= 143 | gopkg.in/yaml.v2 v2.2.1/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI= 144 | gopkg.in/yaml.v2 v2.2.2 h1:ZCJp+EgiOT7lHqUV2J862kp8Qj64Jo6az82+3Td9dZw= 145 | gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI= 146 | gotest.tools v2.2.0+incompatible/go.mod h1:DsYFclhRJ6vuDpmuTbkuFWG+y2sxOXAzmJt81HFBacw= 147 | -------------------------------------------------------------------------------- /testdata/proof0.json: -------------------------------------------------------------------------------- 1 | { 2 | "a": [ 3 | "0x2cdfab288afda1ba399d60951423e76445754b7d2e7827634732988373c8e0ff", 4 | "0x1bb2e3543dfdd373610db3ea82703bc70e4d6f01b5c0e10709e27545670824f4" 5 | 6 | ], 7 | "b": [ 8 | 9 | [ 10 | "0x0f9cd75cae408d3b6d2731035dbb6aa6f66cf900c1d64b46510cbbcd7cf94f64", 11 | "0x165997362d7c2bf5672d16206fbee620ad8eb54f609b98c49c7c6287c9979077" 12 | 13 | ], 14 | [ 15 | "0x0392982b7cd7bdbbee79d5f808c67ead8ef3e2347810b546b419da5f738aab92", 16 | "0x0f94d6781b9de113b86abd1930accd2260d0c979d520bc1a0e79dec3c8ce76a3" 17 | 18 | ] 19 | 20 | ], 21 | "c": [ 22 | "0x0b710c2f32925ad4576f925e8c5954c7dace91437fd6bc3ded1d15b70990a885", 23 | "0x2cd6ea79e38ad566aceb09113e67142d278d12a76b49031ce1bde1dedca696b4" 24 | 25 | ], 26 | "public": [ 27 | "6" 28 | ] 29 | } 30 | -------------------------------------------------------------------------------- /testdata/proof1.json: -------------------------------------------------------------------------------- 1 | { 2 | "a": ["0x1dca74fcf694ed936db05adcdef51b3c2014764e99c5703d5e69d76c87810422","0x2c9ba9c02cf6955ca2c772664df5768a7b0cc77576d7e9b81e095fb3c08b9c16"], 3 | "b": [["0x0aa0f61f43f154d035a48f348789a16f5d4005f76467691f974a8a2e8edb1742","0x026e7e1392d435dd3e73ea37add798405d5cd48f8721f9573c12a2c51258ec8b"],["0x303d397f66efd9dce45e5de04637b106870a7e057d183184939bd44fab28a431","0x257512bdc1bba713498a5981ccc2d5bb833a8cc6e5981e3d71a37fbac31e8b0b"]], 4 | "c": ["0x07a8feff8de7347c93685684dd4e8854fc02a64b221602f6b0afe9b5bf6e1e01","0x258e96099adc2ba4411009449e714eaf112a4fe6afefdb85ff06c36db83adb43"], 5 | "public": ["6"] 6 | } 7 | -------------------------------------------------------------------------------- /testdata/public0.json: -------------------------------------------------------------------------------- 1 | [ 2 | "6" 3 | ] 4 | -------------------------------------------------------------------------------- /testdata/public1.json: -------------------------------------------------------------------------------- 1 | ["6"] 2 | -------------------------------------------------------------------------------- /testdata/vk0.json: -------------------------------------------------------------------------------- 1 | { 2 | "alpha_g1":[ 3 | "0x0c0e14d07f2281c592952c72f86a7f5df7189ab6d00b84609ad777fbf062f38d", 4 | "0x2f60c0e4913ec4691bdf2dd9f2b5fed9b80a3267eec107b9f1d69418a19a30a8" 5 | ], 6 | "beta_g1":[ 7 | "0x22b91a2e3f772de5fab517027ffc911b267cd2bb5ecb0e4af04d2fff16492245", 8 | "0x0fba22e490ec7870abd5181d2ec52f7030f0a905f0fa0a8bf1881f054250aac2" 9 | ], 10 | "beta_g2":[ 11 | [ 12 | "0x0b5f21c2d981916cd5e1037b446b170b6c60dd184fdbb3381b7d0880fb48300d", 13 | "0x2275d97dce5445433ec7bc6d01c35f0afad9afcf6f3350cd15eeef1023242c01" 14 | ], 15 | [ 16 | "0x1690100372c53776b60c0ee56926debb4d0acee90f7952ecc63861e0269a098a", 17 | "0x2c2a08a60032f536afbcb21c079b563cdce68b7ef906e973c52f574121a95df0" 18 | ] 19 | ], 20 | "delta_g1":[ 21 | "0x2bf9136e1957878c29d7feb39318eab00a45f7239f2682abafcb4cf84edadfee", 22 | "0x01348c9322f0cf582b47d8fff512945ca377b9c8c1696743a0b1f83454ada9eb" 23 | ], 24 | "delta_g2":[ 25 | [ 26 | "0x106fb9af91458db7637ad8e4fcc292fb91f7d41c5f8b6f248ac10aa21c8c95fa", 27 | "0x1007e6644507b7b194673f88b49a1b22d7ca9d85a82d8a9ae48f0bc88314c08b" 28 | ], 29 | [ 30 | "0x1c56275a69d22732c867b9b537d173a4ae8e8994c3e0591566f874847f8223d7", 31 | "0x24264a0b9040259eb7e7d7456d9197b1938294f1eb749efa3adc4829360acb3d" 32 | 33 | ] 34 | ], 35 | "gamma_g2":[ 36 | [ 37 | "0x2d0c4fa1239184802aeda1f206e49104940aa3eccc1b3e0141c25b2dba8e7caf", 38 | "0x15c9b1123841897787badbe858eb00943fc8a99454666f21acf4e79e13547471" 39 | ], 40 | [ 41 | "0x256ad09ecb0abc15fd48f20c37d28ffcf0f8eb3b23cb10cdeee7365b598963ac", 42 | "0x2bc9bc381cf68badd992338c637b36b54936b69cb8560eaf5a8cbe2c20ff8522" 43 | ] 44 | ], 45 | "ic":[ 46 | [ 47 | "0x0fd572add09b4d9b1f3bcf382792dd3cc173af539fd234b362030aef49c15e48", 48 | "0x20ee06100c05c94e58edd1f01a051bec231574fe0cf025ee984df2d775b266cd" 49 | ], 50 | [ 51 | "0x2577ec7416ef3379567e196243e3c3bd7a456e3cf26f1cef8e92a83c302108ac", 52 | "0x1766d057aab33f1af0acac750f941e23d23027f28055be67bc13427b9b27d617" 53 | ] 54 | ], 55 | "input_names":[ 56 | "main.r" 57 | ] 58 | } 59 | -------------------------------------------------------------------------------- /testdata/vk1.json: -------------------------------------------------------------------------------- 1 | {"alpha_g1":["0x1cf86a02b7de239051e6c51ceeef1d8a5d2089e9a2f7cbc5c6074f5fd2b0d777","0x041778937c8a6268ddc1b4eb4912f9edb017e22d8701f91b053d7b05c2f1471a"],"beta_g1":["0x154706ec1e025b39e8bfb4d1d223df46ed7b7458e1575c075f3c9501c6c2115e","0x2b80a63d18b3f22b729d86c8f1bf49a374b0871d5342f8fc1eabea301222f224"],"beta_g2":[["0x2039525c2c75b0c369bbd397481e8321ab82ee611c0ecde9ad64501395b65bb6","0x20d752b48b87705ee8e036a1c21afc80ce1fbf08fc61eb54fe840f0bc2d28704"],["0x17e4c8fb30585247872275e139da64316745190ffcd123a90484a85502d27c5f","0x04ad1008299254713101063744973903c9bdba5ab3c4def72331a53f9e45b261"]],"delta_g1":["0x1e87e5fa36ceb48346448d7bde273bf0e68b938068714ae5b9a34b5f06189ba5","0x0c39864a5a4e5f1dc74c0ec7235f36bdefc7f1a5c34277fbbab675210e1456f8"],"delta_g2":[["0x202d1f6118c936b072d21ee1c39326b72950e342c29e28770abbbe82bf6f9bfc","0x122bedfe76fd47a7d9af22c48acce6e39542c4e639234cd21f8dcf1ad857d2a1"],["0x216d0c805652dbb0ab1d46aad44f4230a614ec4eec8c8bdae84c94b94d1e30be","0x0cf19a6f199fd19aa2aed4e78c8813201e7821a3e4d7d94897639e0630f8e406"]],"gamma_g2":[["0x06119f2fc5e0c76f9722417fedb2a267385e63a5f48c37684e379790db770d4b","0x220a1e37e224859a0d4af6f29f9909f84b02dfed9b29bd376e94f44964379d70"],["0x02ba5f26131b4787569ae4075f817a8b395de987f3887fe5c55cefa4a00c1d29","0x139b91c637580b238cde5e6d0e3472a21453a9394fd9e35dfb0b343a0f9c9880"]],"ic":[["0x0e480b0119f8eaeaeb944752f1ae2ff13da7b78fdd0b04d5fa12e1422d1d8a29","0x153471558ba605e153a9b6230f14dfad9e401c0313e7ac0917e27ce26aa69fd0"],["0x062a1efbae92eef025288ecb23437f1ad3edc9aa490ec33d8a3dde5f09d8a66b","0x18eab07ce28c80f7c49bbcbdb5e3f6c8c61651f13230742a7eb25b0efa830332"]],"input_names":["main.r"]} 2 | -------------------------------------------------------------------------------- /verifier.go: -------------------------------------------------------------------------------- 1 | package bellmanverifier 2 | 3 | import ( 4 | "bytes" 5 | "encoding/hex" 6 | "encoding/json" 7 | "fmt" 8 | "math/big" 9 | "strings" 10 | 11 | bn256 "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare" 12 | ) 13 | 14 | var q *big.Int 15 | 16 | func init() { 17 | var err error 18 | q, err = stringToBigInt("21888242871839275222246405745257275088548364400416034343698204186575808495617") 19 | if err != nil { 20 | panic(err) 21 | } 22 | } 23 | 24 | // Vk is the Verification Key data structure 25 | type Vk struct { 26 | Alpha *bn256.G1 27 | Beta *bn256.G2 28 | Gamma *bn256.G2 29 | Delta *bn256.G2 30 | GammaABC []*bn256.G1 31 | } 32 | 33 | // VkRaw is the Verification Key data structure in string format (from json) 34 | type VkRaw struct { 35 | Alpha []string `json:"alpha_g1"` 36 | Beta [][]string `json:"beta_g2"` 37 | Gamma [][]string `json:"gamma_g2"` 38 | Delta [][]string `json:"delta_g2"` 39 | GammaABC [][]string `json:"ic"` 40 | } 41 | 42 | // Proof is the Groth16 Proof data structure 43 | type Proof struct { 44 | A *bn256.G1 45 | B *bn256.G2 46 | C *bn256.G1 47 | } 48 | 49 | // ProofRaw is the Groth16 Proof data structure in string format (from json) 50 | type ProofRaw struct { 51 | A []string `json:"a"` 52 | B [][]string `json:"b"` 53 | C []string `json:"c"` 54 | Inputs []string `json:"inputs"` 55 | } 56 | 57 | func hexToG1(h []string) (*bn256.G1, error) { 58 | in := "" 59 | for i := range h { 60 | in += strings.TrimPrefix(h[i], "0x") 61 | } 62 | 63 | b, err := hex.DecodeString(in) 64 | if err != nil { 65 | return nil, err 66 | } 67 | p := new(bn256.G1) 68 | _, err = p.Unmarshal(b) 69 | 70 | return p, err 71 | } 72 | 73 | func hexToG2Regular(h [][]string) (*bn256.G2, error) { 74 | in := "" 75 | for i := 0; i < len(h); i++ { 76 | for j := 0; j < len(h[i]); j++ { 77 | in += strings.TrimPrefix(h[i][j], "0x") 78 | } 79 | } 80 | 81 | b, err := hex.DecodeString(in) 82 | if err != nil { 83 | return nil, err 84 | } 85 | p := new(bn256.G2) 86 | _, err = p.Unmarshal(b) 87 | return p, err 88 | } 89 | 90 | func hexToG2(h [][]string) (*bn256.G2, error) { 91 | in := "" 92 | in += strings.TrimPrefix(h[0][1], "0x") // note that values are switched 93 | in += strings.TrimPrefix(h[0][0], "0x") 94 | in += strings.TrimPrefix(h[1][1], "0x") 95 | in += strings.TrimPrefix(h[1][0], "0x") 96 | 97 | b, err := hex.DecodeString(in) 98 | if err != nil { 99 | return nil, err 100 | } 101 | p := new(bn256.G2) 102 | _, err = p.Unmarshal(b) 103 | return p, err 104 | } 105 | 106 | func stringToBigInt(s string) (*big.Int, error) { 107 | base := 10 108 | if bytes.HasPrefix([]byte(s), []byte("0x")) { 109 | base = 16 110 | s = strings.TrimPrefix(s, "0x") 111 | } 112 | n, ok := new(big.Int).SetString(s, base) 113 | if !ok { 114 | return nil, fmt.Errorf("Can not parse string to *big.Int: %s", s) 115 | } 116 | return n, nil 117 | } 118 | 119 | // ParsePublicRaw takes a json []byte and outputs the []*big.Int struct 120 | func ParsePublicRaw(pj []byte) ([]*big.Int, error) { 121 | var pr []string 122 | err := json.Unmarshal(pj, &pr) 123 | if err != nil { 124 | return nil, err 125 | } 126 | var public []*big.Int 127 | for _, s := range pr { 128 | sb, err := stringToBigInt(s) 129 | if err != nil { 130 | return nil, err 131 | } 132 | public = append(public, sb) 133 | } 134 | return public, nil 135 | } 136 | 137 | // ParseVkRaw takes a json []byte and outputs the *Vk struct 138 | func ParseVkRaw(vj []byte) (*Vk, error) { 139 | var vr VkRaw 140 | err := json.Unmarshal(vj, &vr) 141 | if err != nil { 142 | return nil, err 143 | } 144 | v, err := vkRawToVk(vr) 145 | return v, err 146 | } 147 | 148 | // ParseProofRaw takes a json []byte and outputs the *Proof struct 149 | func ParseProofRaw(pj []byte) (*Proof, error) { 150 | var pr ProofRaw 151 | err := json.Unmarshal(pj, &pr) 152 | if err != nil { 153 | return nil, err 154 | } 155 | p, err := proofRawToProof(pr) 156 | return p, err 157 | } 158 | 159 | func vkRawToVk(vr VkRaw) (*Vk, error) { 160 | var v Vk 161 | var err error 162 | v.Alpha, err = hexToG1(vr.Alpha) 163 | if err != nil { 164 | return nil, err 165 | } 166 | 167 | v.Beta, err = hexToG2(vr.Beta) 168 | if err != nil { 169 | return nil, err 170 | } 171 | 172 | v.Gamma, err = hexToG2(vr.Gamma) 173 | if err != nil { 174 | return nil, err 175 | } 176 | 177 | v.Delta, err = hexToG2(vr.Delta) 178 | if err != nil { 179 | return nil, err 180 | } 181 | 182 | for i := 0; i < len(vr.GammaABC); i++ { 183 | p, err := hexToG1(vr.GammaABC[i]) 184 | if err != nil { 185 | return nil, err 186 | } 187 | v.GammaABC = append(v.GammaABC, p) 188 | } 189 | 190 | return &v, nil 191 | } 192 | 193 | func proofRawToProof(pr ProofRaw) (*Proof, error) { 194 | var p Proof 195 | var err error 196 | p.A, err = hexToG1(pr.A) 197 | if err != nil { 198 | return nil, err 199 | } 200 | 201 | p.B, err = hexToG2(pr.B) 202 | if err != nil { 203 | return nil, err 204 | } 205 | 206 | p.C, err = hexToG1(pr.C) 207 | if err != nil { 208 | return nil, err 209 | } 210 | 211 | return &p, nil 212 | } 213 | 214 | // Verify performs the Groth16 zkSnark verification 215 | func Verify(vk *Vk, proof *Proof, inputs []*big.Int) bool { 216 | if len(inputs)+1 != len(vk.GammaABC) { 217 | fmt.Println("len(inputs)+1 != len(vk.GammaABC)") 218 | return false 219 | } 220 | vkX := new(bn256.G1).ScalarBaseMult(big.NewInt(0)) 221 | for i := 0; i < len(inputs); i++ { 222 | // check input inside field 223 | if inputs[i].Cmp(q) != -1 { 224 | return false 225 | } 226 | vkX = new(bn256.G1).Add(vkX, new(bn256.G1).ScalarMult(vk.GammaABC[i+1], inputs[i])) 227 | } 228 | vkX = new(bn256.G1).Add(vkX, vk.GammaABC[0]) 229 | 230 | g1 := []*bn256.G1{proof.A, vk.Alpha.Neg(vk.Alpha), vkX.Neg(vkX), proof.C.Neg(proof.C)} 231 | g2 := []*bn256.G2{proof.B, vk.Beta, vk.Gamma, vk.Delta} 232 | return bn256.PairingCheck(g1, g2) 233 | } 234 | -------------------------------------------------------------------------------- /verifier_test.go: -------------------------------------------------------------------------------- 1 | package bellmanverifier 2 | 3 | import ( 4 | "io/ioutil" 5 | "testing" 6 | 7 | "github.com/stretchr/testify/assert" 8 | "github.com/stretchr/testify/require" 9 | ) 10 | 11 | func TestParsePoints(t *testing.T) { 12 | aHex := []string{"0x2cdfab288afda1ba399d60951423e76445754b7d2e7827634732988373c8e0ff", "0x1bb2e3543dfdd373610db3ea82703bc70e4d6f01b5c0e10709e27545670824f4"} 13 | a, err := hexToG1(aHex) 14 | assert.Nil(t, err) 15 | assert.Equal(t, "bn256.G1(2cdfab288afda1ba399d60951423e76445754b7d2e7827634732988373c8e0ff, 1bb2e3543dfdd373610db3ea82703bc70e4d6f01b5c0e10709e27545670824f4)", a.String()) 16 | 17 | bHex := [][]string{ 18 | { 19 | "0x0f9cd75cae408d3b6d2731035dbb6aa6f66cf900c1d64b46510cbbcd7cf94f64", 20 | "0x165997362d7c2bf5672d16206fbee620ad8eb54f609b98c49c7c6287c9979077", 21 | }, 22 | { 23 | "0x0392982b7cd7bdbbee79d5f808c67ead8ef3e2347810b546b419da5f738aab92", 24 | "0x0f94d6781b9de113b86abd1930accd2260d0c979d520bc1a0e79dec3c8ce76a3", 25 | }, 26 | } 27 | b, err := hexToG2(bHex) 28 | assert.Nil(t, err) 29 | assert.Equal(t, "bn256.G2((165997362d7c2bf5672d16206fbee620ad8eb54f609b98c49c7c6287c9979077, 0f9cd75cae408d3b6d2731035dbb6aa6f66cf900c1d64b46510cbbcd7cf94f64), (0f94d6781b9de113b86abd1930accd2260d0c979d520bc1a0e79dec3c8ce76a3, 0392982b7cd7bdbbee79d5f808c67ead8ef3e2347810b546b419da5f738aab92))", b.String()) 30 | 31 | gHex := [][]string{ 32 | { 33 | "0x2d0c4fa1239184802aeda1f206e49104940aa3eccc1b3e0141c25b2dba8e7caf", 34 | "0x15c9b1123841897787badbe858eb00943fc8a99454666f21acf4e79e13547471", 35 | }, 36 | { 37 | "0x256ad09ecb0abc15fd48f20c37d28ffcf0f8eb3b23cb10cdeee7365b598963ac", 38 | "0x2bc9bc381cf68badd992338c637b36b54936b69cb8560eaf5a8cbe2c20ff8522", 39 | }, 40 | } 41 | g, err := hexToG2(gHex) 42 | assert.Nil(t, err) 43 | assert.Equal(t, "bn256.G2((15c9b1123841897787badbe858eb00943fc8a99454666f21acf4e79e13547471, 2d0c4fa1239184802aeda1f206e49104940aa3eccc1b3e0141c25b2dba8e7caf), (2bc9bc381cf68badd992338c637b36b54936b69cb8560eaf5a8cbe2c20ff8522, 256ad09ecb0abc15fd48f20c37d28ffcf0f8eb3b23cb10cdeee7365b598963ac))", g.String()) 44 | } 45 | 46 | func TestParseProof(t *testing.T) { 47 | proofJson, err := ioutil.ReadFile("testdata/proof0.json") 48 | require.Nil(t, err) 49 | vkJson, err := ioutil.ReadFile("testdata/vk0.json") 50 | require.Nil(t, err) 51 | 52 | proof, err := ParseProofRaw(proofJson) 53 | require.Nil(t, err) 54 | vk, err := ParseVkRaw(vkJson) 55 | require.Nil(t, err) 56 | 57 | assert.Equal(t, "bn256.G1(2cdfab288afda1ba399d60951423e76445754b7d2e7827634732988373c8e0ff, 1bb2e3543dfdd373610db3ea82703bc70e4d6f01b5c0e10709e27545670824f4)", proof.A.String()) 58 | assert.Equal(t, "bn256.G1(0b710c2f32925ad4576f925e8c5954c7dace91437fd6bc3ded1d15b70990a885, 2cd6ea79e38ad566aceb09113e67142d278d12a76b49031ce1bde1dedca696b4)", proof.C.String()) 59 | assert.Equal(t, "bn256.G1(0c0e14d07f2281c592952c72f86a7f5df7189ab6d00b84609ad777fbf062f38d, 2f60c0e4913ec4691bdf2dd9f2b5fed9b80a3267eec107b9f1d69418a19a30a8)", vk.Alpha.String()) 60 | assert.Equal(t, "bn256.G2((2275d97dce5445433ec7bc6d01c35f0afad9afcf6f3350cd15eeef1023242c01, 0b5f21c2d981916cd5e1037b446b170b6c60dd184fdbb3381b7d0880fb48300d), (2c2a08a60032f536afbcb21c079b563cdce68b7ef906e973c52f574121a95df0, 1690100372c53776b60c0ee56926debb4d0acee90f7952ecc63861e0269a098a))", vk.Beta.String()) 61 | assert.Equal(t, "bn256.G2((15c9b1123841897787badbe858eb00943fc8a99454666f21acf4e79e13547471, 2d0c4fa1239184802aeda1f206e49104940aa3eccc1b3e0141c25b2dba8e7caf), (2bc9bc381cf68badd992338c637b36b54936b69cb8560eaf5a8cbe2c20ff8522, 256ad09ecb0abc15fd48f20c37d28ffcf0f8eb3b23cb10cdeee7365b598963ac))", vk.Gamma.String()) 62 | } 63 | 64 | func TestVerify0(t *testing.T) { 65 | proofJson, err := ioutil.ReadFile("testdata/proof0.json") 66 | require.Nil(t, err) 67 | vkJson, err := ioutil.ReadFile("testdata/vk0.json") 68 | require.Nil(t, err) 69 | publicJson, err := ioutil.ReadFile("testdata/public0.json") 70 | require.Nil(t, err) 71 | 72 | public, err := ParsePublicRaw(publicJson) 73 | require.Nil(t, err) 74 | proof, err := ParseProofRaw(proofJson) 75 | require.Nil(t, err) 76 | vk, err := ParseVkRaw(vkJson) 77 | require.Nil(t, err) 78 | 79 | v := Verify(vk, proof, public) 80 | assert.True(t, v) 81 | } 82 | 83 | func TestVerify1(t *testing.T) { 84 | proofJson, err := ioutil.ReadFile("testdata/proof1.json") 85 | require.Nil(t, err) 86 | vkJson, err := ioutil.ReadFile("testdata/vk1.json") 87 | require.Nil(t, err) 88 | publicJson, err := ioutil.ReadFile("testdata/public1.json") 89 | require.Nil(t, err) 90 | 91 | public, err := ParsePublicRaw(publicJson) 92 | require.Nil(t, err) 93 | proof, err := ParseProofRaw(proofJson) 94 | require.Nil(t, err) 95 | vk, err := ParseVkRaw(vkJson) 96 | require.Nil(t, err) 97 | 98 | v := Verify(vk, proof, public) 99 | assert.True(t, v) 100 | } 101 | 102 | func BenchmarkVerify(b *testing.B) { 103 | proofJson, err := ioutil.ReadFile("testdata/proof0.json") 104 | require.Nil(b, err) 105 | vkJson, err := ioutil.ReadFile("testdata/vk0.json") 106 | require.Nil(b, err) 107 | publicJson, err := ioutil.ReadFile("testdata/public0.json") 108 | require.Nil(b, err) 109 | 110 | public, err := ParsePublicRaw(publicJson) 111 | require.Nil(b, err) 112 | proof, err := ParseProofRaw(proofJson) 113 | require.Nil(b, err) 114 | vk, err := ParseVkRaw(vkJson) 115 | require.Nil(b, err) 116 | 117 | for i := 0; i < b.N; i++ { 118 | Verify(vk, proof, public) 119 | } 120 | } 121 | --------------------------------------------------------------------------------