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// Package zkpbinding contains a set of helper functions aimed to generate and
// interact with Verifier smart contract written in Go and using Groth-16 proving
// system over BLS12-381 elliptic curve to verify proofs. Package zkpbinding
// provides the Veifier contract generation functionality itself as far as a
// helper that converts groth16.Proof to the Verifier-specific set of arguments.
//
// Please, check out the example of zkpbinding package usage to generate and
// verify proofs on the Neo chain:
// https://pkg.go.dev/github.com/nspcc-dev/neo-go/pkg/smartcontract/zkpbinding
package zkpbinding
import (
"bytes"
"encoding/binary"
"errors"
"fmt"
"io"
"text/template"
"github.com/consensys/gnark-crypto/ecc"
bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381"
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"github.com/consensys/gnark-crypto/ecc/bls12-381/fr"
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"github.com/consensys/gnark/backend/groth16"
"github.com/consensys/gnark/backend/witness"
"github.com/nspcc-dev/neo-go/pkg/util/slice"
)
// Config represents a configuration for Verifier Go smart contract generator.
type Config struct {
// VerifyingKey must be a Groth-16 BLS12-381 specific verifier key,
// parameters of which will be used to generate Verifier Neo smart contract.
VerifyingKey groth16 . VerifyingKey
// Output is a writer for the resulting Verifier Go smart contract, it must
// not be nil.
Output io . Writer
// CfgOutput is a writer for the resulting Verifier Go smart contract YAML
// configuration file needed to compile the contract. It may be nil if the
// contract configuration file generation should be omitted.
CfgOutput io . Writer
// GomodOutput is a writer for the resulting go.mod file of the Verifier Go
// smart contract needed to compile it. It may be nil if the go.mod file
// generation should be omitted.
GomodOutput io . Writer
// GosumOutput is a writer for the resulting go.sum file of the Verifier Go
// smart contract needed to compile it. It may be nil if the go.sum file
// generation should be omitted.
GosumOutput io . Writer
}
// A set of Verifier smart contract template related constants.
const (
// goVerificationTmpl is a verification smart contract template. It contains
// a single `verifyProof` method that accepts a proof represented as three
// BLS12-381 curve points and public information required for verification
// represented as a list of serialized 32-bytes field elements in the LE form.
// The boolean result of `verifyProof` is either `true` (if the proof is
// valid) or `false` (if the proof is invalid). The smart contract generated
// from this template can be immediately compiled without any additional
// changes using NeoGo compiler, deployed to the Neo chain and invoked. The
// verification contract is circuit-specific, i.e. corresponds to a specific
// single constraint system. Thus, every new circuit requires vew verification
// contract to be generated and deployed to the chain.
goVerificationTmpl = ` // Package main contains verification smart contract that uses Neo BLS12-381
// curves interoperability functionality to verify provided proof against provided
// public input. The contract contains a single 'verifyProof' method that accepts
// a proof represented as three BLS12-381 curve points and public witnesses
// required for verification represented as a list of serialized 32-bytes field
// elements in the LE form. This contract is circuit-specific and can not be used
// to verify other circuits.
//
// Use NeoGo smart contract compiler to compile this contract:
// https://github.com/nspcc-dev/neo-go/blob/master/docs/compiler.md#compiling.
// You will need to create contract YAML configuration file and proper go.mod and
// go.sum files required for compilation. Please, refer to the NeoGo ZKP example
// to see how to verify proofs via the Verifier contract:
// https://github.com/nspcc-dev/neo-go/tree/master/examples/zkp/cubic_circuit.
//
// This contract is automatically generated.
package main
import (
"github.com/nspcc-dev/neo-go/pkg/interop/native/crypto"
"github.com/nspcc-dev/neo-go/pkg/interop/util"
)
// A set of circuit-specific variables required for verification. Should be generated
// using MPC process.
var (
// G1 Affine point.
alpha = [ ] byte { { byteSliceToStr . Alpha } }
// G2 Affine point.
beta = [ ] byte { { byteSliceToStr . Beta } }
// G2 Affine point.
gamma = [ ] byte { { byteSliceToStr . Gamma } }
// G2 Affine point.
delta = [ ] byte { { byteSliceToStr . Delta } }
// A set of G1 Affine points.
ic = [ ] [ ] byte {
{ { - range $ i := . ICs } }
{ { byteSliceToStr $ i } } , { { end - } }
}
)
// VerifyProof verifies the given proof represented as three serialized compressed
// BLS12-381 points against the public information represented as a list of
// serialized 32-bytes field elements in the LE form. Verification process
// follows the Groth-16 proving system and is taken from the
// https://github.com/neo-project/neo/issues/2647#issuecomment-1002893109 without
// any changes. Verification process checks the following equality:
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//
// A * B = alpha * beta + sum(pub_input[i] * (beta * u_i(x) + alpha * v_i(x) + w_i(x)) / gamma) * gamma + C * delta
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func VerifyProof ( a [ ] byte , b [ ] byte , c [ ] byte , publicInput [ ] [ ] byte ) bool {
alphaPoint := crypto . Bls12381Deserialize ( alpha )
betaPoint := crypto . Bls12381Deserialize ( beta )
gammaPoint := crypto . Bls12381Deserialize ( gamma )
deltaPoint := crypto . Bls12381Deserialize ( delta )
aPoint := crypto . Bls12381Deserialize ( a )
bPoint := crypto . Bls12381Deserialize ( b )
cPoint := crypto . Bls12381Deserialize ( c )
// Equation left1: A*B
lt := crypto . Bls12381Pairing ( aPoint , bPoint )
// Equation right1: alpha*beta
rt1 := crypto . Bls12381Pairing ( alphaPoint , betaPoint )
// Equation right2: sum(pub_input[i]*(beta*u_i(x)+alpha*v_i(x)+w_i(x))/gamma)*gamma
inputlen := len ( publicInput )
iclen := len ( ic )
if iclen != inputlen + 1 {
panic ( "error: inputlen or iclen" )
}
icPoints := make ( [ ] crypto . Bls12381Point , iclen )
for i := 0 ; i < iclen ; i ++ {
icPoints [ i ] = crypto . Bls12381Deserialize ( ic [ i ] )
}
acc := icPoints [ 0 ]
for i := 0 ; i < inputlen ; i ++ {
scalar := publicInput [ i ] // 32-bytes LE field element.
temp := crypto . Bls12381Mul ( icPoints [ i + 1 ] , scalar , false )
acc = crypto . Bls12381Add ( acc , temp )
}
rt2 := crypto . Bls12381Pairing ( acc , gammaPoint )
// Equation right3: C*delta
rt3 := crypto . Bls12381Pairing ( cPoint , deltaPoint )
// Check equality.
t1 := crypto . Bls12381Add ( rt1 , rt2 )
t2 := crypto . Bls12381Add ( t1 , rt3 )
return util . Equals ( lt , t2 )
}
`
// verifyCfg is a contract configuration file required to compile smart
// contract.
verifyCfg = ` name : "Groth-16 Verifier contract"
sourceurl : https : //github.com/nspcc-dev/neo-go/
supportedstandards : [ ] `
// verifyGomod is a standard go.mod file containing module name, go version
// and dependency packages version needed for smart contract compilation.
verifyGomod = ` module verify
go 1.18
require github . com / nspcc - dev / neo - go / pkg / interop v0 .0 .0 - 20230606150208 - a2daad6ba614
`
// verifyGosum is a standard go.sum file needed for contract compilation.
verifyGosum = ` github . com / nspcc - dev / neo - go / pkg / interop v0 .0 .0 - 20230606150208 - a2daad6ba614 h1 : MiDBj73HNgPUbJRpXWLXrsGvX4rkYVDrdSmfOwivGR8 =
github . com / nspcc - dev / neo - go / pkg / interop v0 .0 .0 - 20230606150208 - a2daad6ba614 / go . mod h1 : ZUuXOkdtHZgaC13za / zMgXfQFncZ0jLzfQTe + OsDOtg =
`
)
// verifyingKeyConstantPartLen is the length of the constant-len part of a
// serialized compressed verifying key. It is used to check that serialization
// format of a verifying key is expected.
const verifyingKeyConstantPartLen = bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG1AffineCompressed + // [α]1,[β]1
bls12381 . SizeOfG2AffineCompressed + bls12381 . SizeOfG2AffineCompressed + // [β]2,[γ]2
bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed + // [δ]1,[δ]2
4 // len(Kvk) in BE (a number of public wires for this circuit)
// VerifyProofArgs is the set of arguments of `verifyProof` method of a
// Verifier contract in serialized form (as the contract accepts them).
type VerifyProofArgs struct {
A [ ] byte
B [ ] byte
C [ ] byte
PublicWitnesses [ ] any
}
// tmplParams is a set of parameters used by verification contract template.
type tmplParams struct {
Alpha [ ] byte
Beta [ ] byte
Gamma [ ] byte
Delta [ ] byte
ICs [ ] [ ] byte
}
// GenerateVerifier generates a Verifier smart contract written in Go for Neo
// blockchain. The contract contains a single `verifyProof` method that accepts
// a proof represented as three BLS12-381 curve points and public witnesses
// required for verification represented as a list of serialized 32-bytes field
// elements in the LE form. The boolean result of `verifyProof` is either `true`
// (if the proof is valid) or `false` (if the proof is invalid). The smart
// contract generated from this template can be immediately compiled without
// any additional changes using NeoGo compiler, deployed to the Neo chain and
// invoked. The verification contract is circuit-specific, i.e. corresponds to
// a specific constraint system. Thus, every new circuit requires its own
// verification contract to be generated and deployed to the chain.
//
// GenerateVerifier also generates a proper contract YAML configuration file,
// go.mod and go.sum files if the corresponding writers are provided via cfg.
func GenerateVerifier ( cfg Config ) error {
if cfg . VerifyingKey == nil {
return fmt . Errorf ( "nil verifying key" )
}
if cfg . VerifyingKey . CurveID ( ) != ecc . BLS12_381 {
return fmt . Errorf ( "unexpected elliptic curve: %s" , cfg . VerifyingKey . CurveID ( ) )
}
// Fetch the contract's public verification parameters. We can't directly access
// the VerifyingKey elements, because it's hidden under internal package, thus,
// take these parameters from the serialized VerifyingKey representation. It
// follows the bellman format:
// https://github.com/zkcrypto/bellman/blob/fa9be45588227a8c6ec34957de3f68705f07bd92/src/groth16/mod.rs#L143
// [α]1,[β]1,[β]2,[γ]2,[δ]1,[δ]2,uint32(len(Kvk)),[Kvk]1
// See also the serialisation code: https://github.com/Consensys/gnark/blob/165b49ab88d69c97867a76e147e6fd41af138210/internal/backend/bls12-381/groth16/marshal.go#L95
var buf bytes . Buffer
_ , err := cfg . VerifyingKey . WriteTo ( & buf )
if err != nil {
return fmt . Errorf ( "failed to serialize verifying key: %w" , err )
}
vkBytes := slice . Copy ( buf . Bytes ( ) )
// Ensure the serialized verifier key has the expected length/format (just in case).
if len ( vkBytes ) < verifyingKeyConstantPartLen {
return errors . New ( "unexpected len of constant-size part of serialized verifying key" )
}
kvkLen := binary . BigEndian . Uint32 ( vkBytes [ verifyingKeyConstantPartLen - 4 : ] )
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if len ( vkBytes ) < verifyingKeyConstantPartLen + int ( kvkLen * bls12381 . SizeOfG1AffineCompressed ) {
return fmt . Errorf ( "unexpected len of serialized verifying key: expected at least %d got %d" , verifyingKeyConstantPartLen + int ( kvkLen * bls12381 . SizeOfG1AffineCompressed ) , len ( vkBytes ) )
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}
var (
alphaG1Offset = 0
betaG2Offset = bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG1AffineCompressed // [α]1,[β]1
gammaG2Offset = bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG1AffineCompressed + // [α]1,[β]1
bls12381 . SizeOfG2AffineCompressed // [β]2
deltaG2Offset = bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG1AffineCompressed + // [α]1,[β]1
bls12381 . SizeOfG2AffineCompressed + bls12381 . SizeOfG2AffineCompressed + // [β]2,[γ]2
bls12381 . SizeOfG1AffineCompressed // [δ]1
kvkLenOffset = bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG1AffineCompressed + // [α]1,[β]1
bls12381 . SizeOfG2AffineCompressed + bls12381 . SizeOfG2AffineCompressed + // [β]2,[γ]2
bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed // [δ]1,[δ]2
kvkStartOffset = kvkLenOffset + 4
)
alphaG1 := vkBytes [ alphaG1Offset : alphaG1Offset + bls12381 . SizeOfG1AffineCompressed ]
betaG2 := vkBytes [ betaG2Offset : betaG2Offset + bls12381 . SizeOfG2AffineCompressed ]
gammaG2 := vkBytes [ gammaG2Offset : gammaG2Offset + bls12381 . SizeOfG2AffineCompressed ]
deltaG2 := vkBytes [ deltaG2Offset : deltaG2Offset + bls12381 . SizeOfG2AffineCompressed ]
kvks := make ( [ ] [ ] byte , kvkLen )
for i := range kvks {
start := kvkStartOffset + i * bls12381 . SizeOfG1AffineCompressed
end := start + bls12381 . SizeOfG1AffineCompressed
kvks [ i ] = vkBytes [ start : end ]
}
// Generate verification contract from the template using the retrieved
// verification parameters.
tmpl := template . Must ( template . New ( "generate" ) . Funcs ( template . FuncMap {
"byteSliceToStr" : byteSliceToStr ,
} ) . Parse ( goVerificationTmpl ) )
err = tmpl . Execute ( cfg . Output , tmplParams {
Alpha : alphaG1 ,
Beta : betaG2 ,
Gamma : gammaG2 ,
Delta : deltaG2 ,
ICs : kvks ,
} )
if err != nil {
return fmt . Errorf ( "failed to generate template: %w" , err )
}
if cfg . CfgOutput != nil {
_ , err = cfg . CfgOutput . Write ( [ ] byte ( verifyCfg ) )
if err != nil {
return fmt . Errorf ( "failed to generate contract configuration file: %w" , err )
}
}
if cfg . GomodOutput != nil {
_ , err = cfg . GomodOutput . Write ( [ ] byte ( verifyGomod ) )
if err != nil {
return fmt . Errorf ( "failed to generate go.mod file: %w" , err )
}
}
if cfg . GosumOutput != nil {
_ , err = cfg . GosumOutput . Write ( [ ] byte ( verifyGosum ) )
if err != nil {
return fmt . Errorf ( "failed to generate go.mod file: %w" , err )
}
}
return nil
}
// byteSliceToStr is a codegen helper that converts byte slice to a go-like slice.
func byteSliceToStr ( s [ ] byte ) string {
var res string
for _ , b := range s {
res += fmt . Sprintf ( "%d, " , b )
}
return ` { ` + res [ : len ( res ) - 2 ] + ` } `
}
// GetVerifyProofArgs returns a serialized set of arguments `verifyProof` method
// of a generated Verifier contract accepts. The set of arguments may be directly
// used as parameters to contract invocation.
func GetVerifyProofArgs ( proof groth16 . Proof , publicWitness witness . Witness ) ( * VerifyProofArgs , error ) {
if proof == nil {
return nil , errors . New ( "nil proof" )
}
if proof . CurveID ( ) != ecc . BLS12_381 {
return nil , fmt . Errorf ( "unexpected elliptic curve: %s" , proof . CurveID ( ) )
}
// If a full witness was provided, then retrieve public part, we don't need the secret part of it.
publicWitness , err := publicWitness . Public ( )
if err != nil {
return nil , fmt . Errorf ( "failed to retrieve public witness: %w" , err )
}
// Get the proof bytes (points are in the compressed form, as Verification contract accepts it).
proofSizeCompressed := int64 ( bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed + bls12381 . SizeOfG1AffineCompressed )
var buf bytes . Buffer
n , err := proof . WriteTo ( & buf )
if err != nil {
return nil , fmt . Errorf ( "failed to serialize proof: %w" , err )
}
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if n < proofSizeCompressed {
return nil , fmt . Errorf ( "unexpected serialized proof length: expected at least %d, got %d" , proofSizeCompressed , n )
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}
proofBytes := slice . Copy ( buf . Bytes ( ) )
aBytes := proofBytes [ : bls12381 . SizeOfG1AffineCompressed ]
bBytes := proofBytes [ bls12381 . SizeOfG1AffineCompressed : bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed ]
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cBytes := proofBytes [ bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed : bls12381 . SizeOfG1AffineCompressed + bls12381 . SizeOfG2AffineCompressed + bls12381 . SizeOfG1AffineCompressed ]
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publicWitnessBytes , err := publicWitness . MarshalBinary ( )
if err != nil {
return nil , fmt . Errorf ( "failed to encode public witness: %w" , err )
}
numPublicWitness := binary . BigEndian . Uint32 ( publicWitnessBytes [ : 4 ] )
numSecretWitness := binary . BigEndian . Uint32 ( publicWitnessBytes [ 4 : 8 ] )
numVectorElements := binary . BigEndian . Uint32 ( publicWitnessBytes [ 8 : 12 ] )
// Ensure that serialization format is as expected (just in case).
if numSecretWitness != 0 {
return nil , fmt . Errorf ( "unexpected number of secret witnesses: %d" , numSecretWitness )
}
if numPublicWitness + numSecretWitness != numVectorElements {
return nil , fmt . Errorf ( "unexpected number of public witness elements: %d" , numVectorElements )
}
// Create public witness input.
input := make ( [ ] any , numVectorElements )
offset := 12
for i := range input { // firstly - public witnesses, after that - private ones (but they are missing from publicWitness anyway).
start := offset + i * fr . Bytes
end := start + fr . Bytes
slice . Reverse ( publicWitnessBytes [ start : end ] ) // gnark stores witnesses in the BE form, but native CryptoLib accepts LE-encoded fields elements (not a canonical form).
input [ i ] = publicWitnessBytes [ start : end ]
}
return & VerifyProofArgs {
A : aBytes ,
B : bBytes ,
C : cBytes ,
PublicWitnesses : input ,
} , nil
}