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package snark
import (
"fmt"
"math/big"
"testing"
"github.com/arnaucube/go-snark/bn128"
"github.com/arnaucube/go-snark/fields"
"github.com/arnaucube/go-snark/r1csqap"
"github.com/stretchr/testify/assert"
)
func TestZk(t *testing.T) {
bn, err := bn128.NewBn128()
assert.Nil(t, err)
// new Finite Field
f := fields.NewFq(bn.R)
// new Polynomial Field
pf := r1csqap.NewPolynomialField(f)
b0 := big.NewInt(int64(0))
b1 := big.NewInt(int64(1))
b3 := big.NewInt(int64(3))
b5 := big.NewInt(int64(5))
b9 := big.NewInt(int64(9))
b27 := big.NewInt(int64(27))
b30 := big.NewInt(int64(30))
b35 := big.NewInt(int64(35))
a := [][]*big.Int{
[]*big.Int{b0, b1, b0, b0, b0, b0},
[]*big.Int{b0, b0, b0, b1, b0, b0},
[]*big.Int{b0, b1, b0, b0, b1, b0},
[]*big.Int{b5, b0, b0, b0, b0, b1},
}
b := [][]*big.Int{
[]*big.Int{b0, b1, b0, b0, b0, b0},
[]*big.Int{b0, b1, b0, b0, b0, b0},
[]*big.Int{b1, b0, b0, b0, b0, b0},
[]*big.Int{b1, b0, b0, b0, b0, b0},
}
c := [][]*big.Int{
[]*big.Int{b0, b0, b0, b1, b0, b0},
[]*big.Int{b0, b0, b0, b0, b1, b0},
[]*big.Int{b0, b0, b0, b0, b0, b1},
[]*big.Int{b0, b0, b1, b0, b0, b0},
}
alphas, betas, gammas, zx := pf.R1CSToQAP(a, b, c)
w := []*big.Int{b1, b3, b35, b9, b27, b30}
ax, bx, cx, px := pf.CombinePolynomials(w, alphas, betas, gammas)
hx := pf.DivisorPolinomial(px, zx)
// hx==px/zx so px==hx*zx
assert.Equal(t, px, pf.Mul(hx, zx))
// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
abc := pf.Sub(pf.Mul(ax, bx), cx)
assert.Equal(t, abc, px)
hz := pf.Mul(hx, zx)
assert.Equal(t, abc, hz)
// calculate trusted setup
setup, err := GenerateTrustedSetup(bn, len(ax))
assert.Nil(t, err)
fmt.Println("trusted setup:")
fmt.Println(setup.G1T)
fmt.Println(setup.G2T)
// piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
proof, err := GenerateProofs(bn, f, setup, w, ax, bx, cx, hx, zx)
assert.Nil(t, err)
fmt.Println("proofs:")
fmt.Println(proof.PiA)
fmt.Println(proof.PiB)
fmt.Println(proof.PiC)
fmt.Println(proof.PiH)
fmt.Println(proof.Vz)
publicSetup := Setup{
G1T: setup.G1T,
G2T: setup.G2T,
}
assert.True(t, VerifyProof(bn, publicSetup, proof))
}