go-snark/snark_test.go
snark_test.goRaw
1package snark
2
3import (
4 "fmt"
5 "math/big"
6 "strings"
7 "testing"
8
9 "github.com/arnaucube/go-snark/bn128"
10 "github.com/arnaucube/go-snark/circuitcompiler"
11 "github.com/arnaucube/go-snark/fields"
12 "github.com/arnaucube/go-snark/r1csqap"
13 "github.com/stretchr/testify/assert"
14)
15
16func TestZkFromFlatCircuitCode(t *testing.T) {
17 bn, err := bn128.NewBn128()
18 assert.Nil(t, err)
19
20 // new Finite Field
21 fqR := fields.NewFq(bn.R)
22
23 // new Polynomial Field
24 pf := r1csqap.NewPolynomialField(fqR)
25
26 // compile circuit and get the R1CS
27 flatCode := `
28 func test(x):
29 aux = x*x
30 y = aux*x
31 z = x + y
32 out = z + 5
33 `
34 fmt.Print("\nflat code of the circuit:")
35 fmt.Println(flatCode)
36
37 // parse the code
38 parser := circuitcompiler.NewParser(strings.NewReader(flatCode))
39 circuit, err := parser.Parse()
40 assert.Nil(t, err)
41 fmt.Println("\ncircuit data:", circuit)
42
43 b3 := big.NewInt(int64(3))
44 inputs := []*big.Int{b3}
45 // wittness
46 w := circuit.CalculateWitness(inputs)
47 fmt.Println("\nwitness", w)
48
49 // flat code to R1CS
50 fmt.Println("\ngenerating R1CS from flat code")
51 a, b, c := circuit.GenerateR1CS()
52 fmt.Println("\nR1CS:")
53 fmt.Println("a:", a)
54 fmt.Println("b:", b)
55 fmt.Println("c:", c)
56
57 alphas, betas, gammas, zx := pf.R1CSToQAP(a, b, c)
58
59 ax, bx, cx, px := pf.CombinePolynomials(w, alphas, betas, gammas)
60
61 hx := pf.DivisorPolinomial(px, zx)
62
63 // hx==px/zx so px==hx*zx
64 assert.Equal(t, px, pf.Mul(hx, zx))
65
66 // p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
67 abc := pf.Sub(pf.Mul(ax, bx), cx)
68 assert.Equal(t, abc, px)
69 hz := pf.Mul(hx, zx)
70 assert.Equal(t, abc, hz)
71
72 div, rem := pf.Div(px, zx)
73 assert.Equal(t, hx, div)
74 assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(4))
75
76 // calculate trusted setup
77 setup, err := GenerateTrustedSetup(bn, fqR, pf, len(w), *circuit, alphas, betas, gammas, zx)
78 assert.Nil(t, err)
79 fmt.Println("\nt:", setup.Toxic.T)
80
81 // piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
82 proof, err := GenerateProofs(bn, fqR, *circuit, setup, hx, w)
83 assert.Nil(t, err)
84
85 assert.True(t, VerifyProof(bn, *circuit, setup, proof))
86}
87
88func TestZkFromHardcodedR1CS(t *testing.T) {
89 bn, err := bn128.NewBn128()
90 assert.Nil(t, err)
91
92 // new Finite Field
93 fqR := fields.NewFq(bn.R)
94
95 // new Polynomial Field
96 pf := r1csqap.NewPolynomialField(fqR)
97
98 b0 := big.NewInt(int64(0))
99 b1 := big.NewInt(int64(1))
100 b3 := big.NewInt(int64(3))
101 b5 := big.NewInt(int64(5))
102 b9 := big.NewInt(int64(9))
103 b27 := big.NewInt(int64(27))
104 b30 := big.NewInt(int64(30))
105 b35 := big.NewInt(int64(35))
106 a := [][]*big.Int{
107 []*big.Int{b0, b1, b0, b0, b0, b0},
108 []*big.Int{b0, b0, b0, b1, b0, b0},
109 []*big.Int{b0, b1, b0, b0, b1, b0},
110 []*big.Int{b5, b0, b0, b0, b0, b1},
111 }
112 b := [][]*big.Int{
113 []*big.Int{b0, b1, b0, b0, b0, b0},
114 []*big.Int{b0, b1, b0, b0, b0, b0},
115 []*big.Int{b1, b0, b0, b0, b0, b0},
116 []*big.Int{b1, b0, b0, b0, b0, b0},
117 }
118 c := [][]*big.Int{
119 []*big.Int{b0, b0, b0, b1, b0, b0},
120 []*big.Int{b0, b0, b0, b0, b1, b0},
121 []*big.Int{b0, b0, b0, b0, b0, b1},
122 []*big.Int{b0, b0, b1, b0, b0, b0},
123 }
124 alphas, betas, gammas, zx := pf.R1CSToQAP(a, b, c)
125
126 // wittness = 1, 3, 35, 9, 27, 30
127 w := []*big.Int{b1, b3, b35, b9, b27, b30}
128 circuit := circuitcompiler.Circuit{
129 NVars: 6,
130 NPublic: 0,
131 NSignals: len(w),
132 }
133 ax, bx, cx, px := pf.CombinePolynomials(w, alphas, betas, gammas)
134
135 hx := pf.DivisorPolinomial(px, zx)
136
137 // hx==px/zx so px==hx*zx
138 assert.Equal(t, px, pf.Mul(hx, zx))
139
140 // p(x) = a(x) * b(x) - c(x) == h(x) * z(x)
141 abc := pf.Sub(pf.Mul(ax, bx), cx)
142 assert.Equal(t, abc, px)
143 hz := pf.Mul(hx, zx)
144 assert.Equal(t, abc, hz)
145
146 div, rem := pf.Div(px, zx)
147 assert.Equal(t, hx, div)
148 assert.Equal(t, rem, r1csqap.ArrayOfBigZeros(4))
149
150 // calculate trusted setup
151 setup, err := GenerateTrustedSetup(bn, fqR, pf, len(w), circuit, alphas, betas, gammas, zx)
152 assert.Nil(t, err)
153 fmt.Println("t", setup.Toxic.T)
154
155 // piA = g1 * A(t), piB = g2 * B(t), piC = g1 * C(t), piH = g1 * H(t)
156 proof, err := GenerateProofs(bn, fqR, circuit, setup, hx, w)
157 assert.Nil(t, err)
158
159 assert.True(t, VerifyProof(bn, circuit, setup, proof))
160}