1package r1csqap
  2
  3import (
  4	"bytes"
  5	"fmt"
  6	"math/big"
  7	"testing"
  8
  9	"github.com/arnaucube/go-snark/fields"
 10	"github.com/stretchr/testify/assert"
 11)
 12
 13func TestTranspose(t *testing.T) {
 14	b0 := big.NewInt(int64(0))
 15	b1 := big.NewInt(int64(1))
 16	bFive := big.NewInt(int64(5))
 17	a := [][]*big.Int{
 18		[]*big.Int{b0, b1, b0, b0, b0, b0},
 19		[]*big.Int{b0, b0, b0, b1, b0, b0},
 20		[]*big.Int{b0, b1, b0, b0, b1, b0},
 21		[]*big.Int{bFive, b0, b0, b0, b0, b1},
 22	}
 23	aT := Transpose(a)
 24	assert.Equal(t, aT, [][]*big.Int{
 25		[]*big.Int{b0, b0, b0, bFive},
 26		[]*big.Int{b1, b0, b1, b0},
 27		[]*big.Int{b0, b0, b0, b0},
 28		[]*big.Int{b0, b1, b0, b0},
 29		[]*big.Int{b0, b0, b1, b0},
 30		[]*big.Int{b0, b0, b0, b1},
 31	})
 32}
 33
 34func TestPol(t *testing.T) {
 35	b0 := big.NewInt(int64(0))
 36	b1 := big.NewInt(int64(1))
 37	b3 := big.NewInt(int64(3))
 38	b4 := big.NewInt(int64(4))
 39	b5 := big.NewInt(int64(5))
 40	b6 := big.NewInt(int64(6))
 41	b16 := big.NewInt(int64(16))
 42
 43	a := []*big.Int{b1, b0, b5}
 44	b := []*big.Int{b3, b0, b1}
 45
 46	// new Finite Field
 47	r, ok := new(big.Int).SetString("21888242871839275222246405745257275088548364400416034343698204186575808495617", 10)
 48	assert.True(nil, ok)
 49	f := fields.NewFq(r)
 50
 51	// new Polynomial Field
 52	pf := NewPolynomialField(f)
 53
 54	// polynomial multiplication
 55	o := pf.Mul(a, b)
 56	assert.Equal(t, o, []*big.Int{b3, b0, b16, b0, b5})
 57
 58	// polynomial addition
 59	o = pf.Add(a, b)
 60	assert.Equal(t, o, []*big.Int{b4, b0, b6})
 61
 62	// polynomial subtraction
 63	o1 := pf.Sub(a, b)
 64	o2 := pf.Sub(b, a)
 65	o = pf.Add(o1, o2)
 66	assert.True(t, bytes.Equal(b0.Bytes(), o[0].Bytes()))
 67	assert.True(t, bytes.Equal(b0.Bytes(), o[1].Bytes()))
 68	assert.True(t, bytes.Equal(b0.Bytes(), o[2].Bytes()))
 69
 70	c := []*big.Int{b5, b6, b1}
 71	d := []*big.Int{b1, b3}
 72	o = pf.Sub(c, d)
 73	assert.Equal(t, o, []*big.Int{b4, b3, b1})
 74
 75	// NewPolZeroAt
 76	o = pf.NewPolZeroAt(3, 4, b4)
 77	assert.Equal(t, pf.Eval(o, big.NewInt(3)), b4)
 78	o = pf.NewPolZeroAt(2, 4, b3)
 79	assert.Equal(t, pf.Eval(o, big.NewInt(2)), b3)
 80}
 81
 82func TestLagrangeInterpolation(t *testing.T) {
 83	// new Finite Field
 84	r, ok := new(big.Int).SetString("21888242871839275222246405745257275088548364400416034343698204186575808495617", 10)
 85	assert.True(nil, ok)
 86	f := fields.NewFq(r)
 87	// new Polynomial Field
 88	pf := NewPolynomialField(f)
 89
 90	b0 := big.NewInt(int64(0))
 91	b5 := big.NewInt(int64(5))
 92	a := []*big.Int{b0, b0, b0, b5}
 93	alpha := pf.LagrangeInterpolation(a)
 94
 95	assert.Equal(t, pf.Eval(alpha, big.NewInt(int64(4))), b5)
 96	aux := pf.Eval(alpha, big.NewInt(int64(3))).Int64()
 97	assert.Equal(t, aux, int64(0))
 98
 99}
100
101func TestR1CSToQAP(t *testing.T) {
102	// new Finite Field
103	r, ok := new(big.Int).SetString("21888242871839275222246405745257275088548364400416034343698204186575808495617", 10)
104	assert.True(nil, ok)
105	f := fields.NewFq(r)
106	// new Polynomial Field
107	pf := NewPolynomialField(f)
108
109	b0 := big.NewInt(int64(0))
110	b1 := big.NewInt(int64(1))
111	b5 := big.NewInt(int64(5))
112	a := [][]*big.Int{
113		[]*big.Int{b0, b1, b0, b0, b0, b0},
114		[]*big.Int{b0, b0, b0, b1, b0, b0},
115		[]*big.Int{b0, b1, b0, b0, b1, b0},
116		[]*big.Int{b5, b0, b0, b0, b0, b1},
117	}
118	b := [][]*big.Int{
119		[]*big.Int{b0, b1, b0, b0, b0, b0},
120		[]*big.Int{b0, b1, b0, b0, b0, b0},
121		[]*big.Int{b1, b0, b0, b0, b0, b0},
122		[]*big.Int{b1, b0, b0, b0, b0, b0},
123	}
124	c := [][]*big.Int{
125		[]*big.Int{b0, b0, b0, b1, b0, b0},
126		[]*big.Int{b0, b0, b0, b0, b1, b0},
127		[]*big.Int{b0, b0, b0, b0, b0, b1},
128		[]*big.Int{b0, b0, b1, b0, b0, b0},
129	}
130	alpha, beta, gamma, z := pf.R1CSToQAP(a, b, c)
131	fmt.Println(alpha)
132	fmt.Println(beta)
133	fmt.Println(gamma)
134	fmt.Println(z)
135
136}