1package snark
 2
 3import (
 4	"fmt"
 5	"math/big"
 6	"testing"
 7
 8	"github.com/arnaucube/go-snark/bn128"
 9	"github.com/arnaucube/go-snark/compiler"
10	"github.com/arnaucube/go-snark/fields"
11	"github.com/arnaucube/go-snark/r1csqap"
12	"github.com/stretchr/testify/assert"
13)
14
15func TestZk(t *testing.T) {
16	bn, err := bn128.NewBn128()
17	assert.Nil(t, err)
18
19	// new Finite Field
20	fqR := fields.NewFq(bn.R)
21
22	// new Polynomial Field
23	pf := r1csqap.NewPolynomialField(fqR)
24
25	b0 := big.NewInt(int64(0))
26	b1 := big.NewInt(int64(1))
27	b3 := big.NewInt(int64(3))
28	b5 := big.NewInt(int64(5))
29	b9 := big.NewInt(int64(9))
30	b27 := big.NewInt(int64(27))
31	b30 := big.NewInt(int64(30))
32	b35 := big.NewInt(int64(35))
33	a := [][]*big.Int{
34		[]*big.Int{b0, b1, b0, b0, b0, b0},
35		[]*big.Int{b0, b0, b0, b1, b0, b0},
36		[]*big.Int{b0, b1, b0, b0, b1, b0},
37		[]*big.Int{b5, b0, b0, b0, b0, b1},
38	}
39	b := [][]*big.Int{
40		[]*big.Int{b0, b1, b0, b0, b0, b0},
41		[]*big.Int{b0, b1, b0, b0, b0, b0},
42		[]*big.Int{b1, b0, b0, b0, b0, b0},
43		[]*big.Int{b1, b0, b0, b0, b0, b0},
44	}
45	c := [][]*big.Int{
46		[]*big.Int{b0, b0, b0, b1, b0, b0},
47		[]*big.Int{b0, b0, b0, b0, b1, b0},
48		[]*big.Int{b0, b0, b0, b0, b0, b1},
49		[]*big.Int{b0, b0, b1, b0, b0, b0},
50	}
51	alphas, betas, gammas, zx := pf.R1CSToQAP(a, b, c)
52
53	// wittness = 1, 3, 35, 9, 27, 30
54	w := []*big.Int{b1, b3, b35, b9, b27, b30}
55	circuit := compiler.Circuit{
56		NVars:    6,
57		NPublic:  0,
58		NSignals: len(w),
59	}
60	ax, bx, cx, px := pf.CombinePolynomials(w, alphas, betas, gammas)
61
62	hx := pf.DivisorPolinomial(px, zx)
63
64	// hx==px/zx so px==hx*zx
65	assert.Equal(t, px, pf.Mul(hx, zx))
66
67	// p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
68	abc := pf.Sub(pf.Mul(ax, bx), cx)
69	assert.Equal(t, abc, px)
70	hz := pf.Mul(hx, zx)
71	assert.Equal(t, abc, hz)
72	
73	div, rem := pf.Div(px, zx)
74	assert.Equal(t, hx, div)
75	assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(4))
76
77	// calculate trusted setup
78	setup, err := GenerateTrustedSetup(bn, fqR, pf, len(w), circuit, alphas, betas, gammas, zx)
79	assert.Nil(t, err)
80	fmt.Println("t", setup.Toxic.T)
81
82	// piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
83	proof, err := GenerateProofs(bn, fqR, circuit, setup, hx, w)
84	assert.Nil(t, err)
85
86	assert.True(t, VerifyProof(bn, circuit, setup, proof))
87}