arnaucube
4 years ago
4 changed files with 304 additions and 9 deletions
Split View
Diff Options
-
+86 -2groth16/groth16.go
-
+107 -0groth16/groth16_test.go
-
+14 -4snark.go
-
+97 -3snark_test.go
@ -0,0 +1,107 @@ |
|||
package groth16 |
|||
|
|||
import ( |
|||
"bytes" |
|||
"fmt" |
|||
"math/big" |
|||
"strings" |
|||
"testing" |
|||
"time" |
|||
|
|||
"github.com/arnaucube/go-snark/circuitcompiler" |
|||
"github.com/arnaucube/go-snark/r1csqap" |
|||
"github.com/stretchr/testify/assert" |
|||
) |
|||
|
|||
func TestGroth16MinimalFlow(t *testing.T) { |
|||
fmt.Println("testing Groth16 minimal flow") |
|||
// circuit function
|
|||
// y = x^3 + x + 5
|
|||
code := ` |
|||
func main(private s0, public s1): |
|||
s2 = s0 * s0 |
|||
s3 = s2 * s0 |
|||
s4 = s3 + s0 |
|||
s5 = s4 + 5 |
|||
equals(s1, s5) |
|||
out = 1 * 1 |
|||
` |
|||
fmt.Print("\ncode of the circuit:") |
|||
|
|||
// parse the code
|
|||
parser := circuitcompiler.NewParser(strings.NewReader(code)) |
|||
circuit, err := parser.Parse() |
|||
assert.Nil(t, err) |
|||
|
|||
b3 := big.NewInt(int64(3)) |
|||
privateInputs := []*big.Int{b3} |
|||
b35 := big.NewInt(int64(35)) |
|||
publicSignals := []*big.Int{b35} |
|||
|
|||
// wittness
|
|||
w, err := circuit.CalculateWitness(privateInputs, publicSignals) |
|||
assert.Nil(t, err) |
|||
|
|||
// code to R1CS
|
|||
fmt.Println("\ngenerating R1CS from code") |
|||
a, b, c := circuit.GenerateR1CS() |
|||
fmt.Println("\nR1CS:") |
|||
fmt.Println("a:", a) |
|||
fmt.Println("b:", b) |
|||
fmt.Println("c:", c) |
|||
|
|||
// R1CS to QAP
|
|||
// TODO zxQAP is not used and is an old impl, TODO remove
|
|||
alphas, betas, gammas, _ := Utils.PF.R1CSToQAP(a, b, c) |
|||
fmt.Println("qap") |
|||
assert.Equal(t, 8, len(alphas)) |
|||
assert.Equal(t, 8, len(alphas)) |
|||
assert.Equal(t, 8, len(alphas)) |
|||
assert.True(t, !bytes.Equal(alphas[1][1].Bytes(), big.NewInt(int64(0)).Bytes())) |
|||
|
|||
ax, bx, cx, px := Utils.PF.CombinePolynomials(w, alphas, betas, gammas) |
|||
assert.Equal(t, 7, len(ax)) |
|||
assert.Equal(t, 7, len(bx)) |
|||
assert.Equal(t, 7, len(cx)) |
|||
assert.Equal(t, 13, len(px)) |
|||
|
|||
// ---
|
|||
// from here is the GROTH16
|
|||
// ---
|
|||
// calculate trusted setup
|
|||
fmt.Println("groth") |
|||
setup, err := GenerateTrustedSetup(len(w), *circuit, alphas, betas, gammas) |
|||
assert.Nil(t, err) |
|||
fmt.Println("\nt:", setup.Toxic.T) |
|||
|
|||
hx := Utils.PF.DivisorPolynomial(px, setup.Pk.Z) |
|||
div, rem := Utils.PF.Div(px, setup.Pk.Z) |
|||
assert.Equal(t, hx, div) |
|||
assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(6)) |
|||
|
|||
// hx==px/zx so px==hx*zx
|
|||
assert.Equal(t, px, Utils.PF.Mul(hx, setup.Pk.Z)) |
|||
|
|||
// check length of polynomials H(x) and Z(x)
|
|||
assert.Equal(t, len(hx), len(px)-len(setup.Pk.Z)+1) |
|||
|
|||
proof, err := GenerateProofs(*circuit, setup, w, px) |
|||
assert.Nil(t, err) |
|||
|
|||
// fmt.Println("\n proofs:")
|
|||
// fmt.Println(proof)
|
|||
|
|||
// fmt.Println("public signals:", proof.PublicSignals)
|
|||
fmt.Println("\nsignals:", circuit.Signals) |
|||
fmt.Println("witness:", w) |
|||
b35Verif := big.NewInt(int64(35)) |
|||
publicSignalsVerif := []*big.Int{b35Verif} |
|||
before := time.Now() |
|||
assert.True(t, VerifyProof(*circuit, setup, proof, publicSignalsVerif, true)) |
|||
fmt.Println("verify proof time elapsed:", time.Since(before)) |
|||
|
|||
// check that with another public input the verification returns false
|
|||
bOtherWrongPublic := big.NewInt(int64(34)) |
|||
wrongPublicSignalsVerif := []*big.Int{bOtherWrongPublic} |
|||
assert.True(t, !VerifyProof(*circuit, setup, proof, wrongPublicSignalsVerif, false)) |
|||
} |
|||