// Copyright 2018 The go-ethereum Authors // This file is part of the go-ethereum library. // // The go-ethereum library is free software: you can redistribute it and/or modify // it under the terms of the GNU Lesser General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // // The go-ethereum library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU Lesser General Public License for more details. // // You should have received a copy of the GNU Lesser General Public License // along with the go-ethereum library. If not, see . package bn256 import ( "bytes" "fmt" "io" "math/big" cloudflare "github.com/ethereum/go-ethereum/crypto/bn256/cloudflare" gnark "github.com/ethereum/go-ethereum/crypto/bn256/gnark" google "github.com/ethereum/go-ethereum/crypto/bn256/google" ) func getG1Points(input io.Reader) (*cloudflare.G1, *google.G1, *gnark.G1) { _, xc, err := cloudflare.RandomG1(input) if err != nil { // insufficient input return nil, nil, nil } xg := new(google.G1) if _, err := xg.Unmarshal(xc.Marshal()); err != nil { panic(fmt.Sprintf("Could not marshal cloudflare -> google: %v", err)) } xs := new(gnark.G1) if _, err := xs.Unmarshal(xc.Marshal()); err != nil { panic(fmt.Sprintf("Could not marshal cloudflare -> gnark: %v", err)) } return xc, xg, xs } func getG2Points(input io.Reader) (*cloudflare.G2, *google.G2, *gnark.G2) { _, xc, err := cloudflare.RandomG2(input) if err != nil { // insufficient input return nil, nil, nil } xg := new(google.G2) if _, err := xg.Unmarshal(xc.Marshal()); err != nil { panic(fmt.Sprintf("Could not marshal cloudflare -> google: %v", err)) } xs := new(gnark.G2) if _, err := xs.Unmarshal(xc.Marshal()); err != nil { panic(fmt.Sprintf("Could not marshal cloudflare -> gnark: %v", err)) } return xc, xg, xs } // fuzzAdd fuzzes bn256 addition between the Google, Cloudflare and Gnark libraries. func fuzzAdd(data []byte) int { input := bytes.NewReader(data) xc, xg, xs := getG1Points(input) if xc == nil { return 0 } yc, yg, ys := getG1Points(input) if yc == nil { return 0 } // Ensure libs can parse the second curve point // Add the two points and ensure they result in the same output rc := new(cloudflare.G1) rc.Add(xc, yc) rg := new(google.G1) rg.Add(xg, yg) rs := new(gnark.G1) rs.Add(xs, ys) if !bytes.Equal(rc.Marshal(), rg.Marshal()) { panic("add mismatch: cloudflare/google") } if !bytes.Equal(rc.Marshal(), rs.Marshal()) { panic("add mismatch: cloudflare/gnark") } return 1 } // fuzzMul fuzzes bn256 scalar multiplication between the Google, Cloudflare // and Gnark libraries. func fuzzMul(data []byte) int { input := bytes.NewReader(data) pc, pg, ps := getG1Points(input) if pc == nil { return 0 } // Add the two points and ensure they result in the same output remaining := input.Len() if remaining == 0 { return 0 } if remaining > 128 { // The evm only ever uses 32 byte integers, we need to cap this otherwise // we run into slow exec. A 236Kb byte integer cause oss-fuzz to report it as slow. // 128 bytes should be fine though return 0 } buf := make([]byte, remaining) input.Read(buf) rc := new(cloudflare.G1) rc.ScalarMult(pc, new(big.Int).SetBytes(buf)) rg := new(google.G1) rg.ScalarMult(pg, new(big.Int).SetBytes(buf)) rs := new(gnark.G1) rs.ScalarMult(ps, new(big.Int).SetBytes(buf)) if !bytes.Equal(rc.Marshal(), rg.Marshal()) { panic("scalar mul mismatch: cloudflare/google") } if !bytes.Equal(rc.Marshal(), rs.Marshal()) { panic("scalar mul mismatch: cloudflare/gnark") } return 1 } func fuzzPair(data []byte) int { input := bytes.NewReader(data) pc, pg, ps := getG1Points(input) if pc == nil { return 0 } tc, tg, ts := getG2Points(input) if tc == nil { return 0 } // Pair the two points and ensure they result in the same output clPair := cloudflare.Pair(pc, tc).Marshal() gPair := google.Pair(pg, tg).Marshal() sPair := gnark.Pair(ps, ts).Marshal() if !bytes.Equal(clPair, gPair) { panic("pairing mismatch: cloudflare/google") } normalizedClPair := normalizeGTToGnark(clPair).Marshal() if !bytes.Equal(normalizedClPair, sPair) { panic("pairing mismatch: cloudflare/gnark") } return 1 } // normalizeGTToGnark scales a Cloudflare/Google GT element by `s` // so that it can be compared with a gnark GT point. // // For the definition of `s` see 3.5 in https://eprint.iacr.org/2015/192.pdf func normalizeGTToGnark(cloudflareOrGoogleGT []byte) *gnark.GT { // Compute s = 2*u(6*u^2 + 3*u + 1) u, _ := new(big.Int).SetString("0x44e992b44a6909f1", 0) u_exp2 := new(big.Int).Exp(u, big.NewInt(2), nil) // u^2 u_6_exp2 := new(big.Int).Mul(big.NewInt(6), u_exp2) // 6*u^2 u_3 := new(big.Int).Mul(big.NewInt(3), u) // 3*u inner := u_6_exp2.Add(u_6_exp2, u_3) // 6*u^2 + 3*u inner.Add(inner, big.NewInt(1)) // 6*u^2 + 3*u + 1 u_2 := new(big.Int).Mul(big.NewInt(2), u) // 2*u s := u_2.Mul(u_2, inner) // 2*u(6*u^2 + 3*u + 1) // Scale the Cloudflare/Google GT element by `s` gRes := new(gnark.GT) if err := gRes.Unmarshal(cloudflareOrGoogleGT); err != nil { panic(err) } gRes = gRes.Exp(*gRes, s) return gRes }