// // Copyright Coinbase, Inc. All Rights Reserved. // // SPDX-License-Identifier: Apache-2.0 // package bls12381 import ( crand "crypto/rand" "math/big" "math/rand" "testing" "github.com/stretchr/testify/require" "github.com/sonr-io/sonr/crypto/core/curves/native" "github.com/sonr-io/sonr/crypto/internal" ) func TestFqSetOne(t *testing.T) { fq := Bls12381FqNew().SetOne() require.NotNil(t, fq) require.Equal(t, fq.Value, getBls12381FqParams().R) } func TestFqSetUint64(t *testing.T) { act := Bls12381FqNew().SetUint64(1 << 60) require.NotNil(t, act) // Remember it will be in montgomery form require.Equal(t, act.Value[0], uint64(0xbc98da2820121c89)) } func TestFqAdd(t *testing.T) { lhs := Bls12381FqNew().SetOne() rhs := Bls12381FqNew().SetOne() exp := Bls12381FqNew().SetUint64(2) res := Bls12381FqNew().Add(lhs, rhs) require.NotNil(t, res) require.Equal(t, 1, res.Equal(exp)) // Fuzz test for i := 0; i < 25; i++ { // Divide by 4 to prevent overflow false errors l := rand.Uint64() >> 2 r := rand.Uint64() >> 2 e := l + r lhs.SetUint64(l) rhs.SetUint64(r) exp.SetUint64(e) a := Bls12381FqNew().Add(lhs, rhs) require.NotNil(t, a) require.Equal(t, exp, a) } } func TestFqSub(t *testing.T) { lhs := Bls12381FqNew().SetOne() rhs := Bls12381FqNew().SetOne() exp := Bls12381FqNew().SetZero() res := Bls12381FqNew().Sub(lhs, rhs) require.NotNil(t, res) require.Equal(t, 1, res.Equal(exp)) // Fuzz test for i := 0; i < 25; i++ { // Divide by 4 to prevent overflow false errors l := rand.Uint64() >> 2 r := rand.Uint64() >> 2 if l < r { l, r = r, l } e := l - r lhs.SetUint64(l) rhs.SetUint64(r) exp.SetUint64(e) a := Bls12381FqNew().Sub(lhs, rhs) require.NotNil(t, a) require.Equal(t, exp, a) } } func TestFqMul(t *testing.T) { lhs := Bls12381FqNew().SetOne() rhs := Bls12381FqNew().SetOne() exp := Bls12381FqNew().SetOne() res := Bls12381FqNew().Mul(lhs, rhs) require.NotNil(t, res) require.Equal(t, 1, res.Equal(exp)) // Fuzz test for i := 0; i < 25; i++ { // Divide by 4 to prevent overflow false errors l := rand.Uint32() r := rand.Uint32() e := uint64(l) * uint64(r) lhs.SetUint64(uint64(l)) rhs.SetUint64(uint64(r)) exp.SetUint64(e) a := Bls12381FqNew().Mul(lhs, rhs) require.NotNil(t, a) require.Equal(t, exp, a) } } func TestFqDouble(t *testing.T) { a := Bls12381FqNew().SetUint64(2) e := Bls12381FqNew().SetUint64(4) require.Equal(t, e, Bls12381FqNew().Double(a)) for i := 0; i < 25; i++ { tv := rand.Uint32() ttv := uint64(tv) * 2 a = Bls12381FqNew().SetUint64(uint64(tv)) e = Bls12381FqNew().SetUint64(ttv) require.Equal(t, e, Bls12381FqNew().Double(a)) } } func TestFqSquare(t *testing.T) { a := Bls12381FqNew().SetUint64(4) e := Bls12381FqNew().SetUint64(16) require.Equal(t, 1, e.Equal(a.Square(a))) a.SetUint64(2854263694) e.SetUint64(8146821234886525636) require.Equal(t, 1, e.Equal(a.Square(a))) for i := 0; i < 25; i++ { j := rand.Uint32() exp := uint64(j) * uint64(j) e.SetUint64(exp) a.SetUint64(uint64(j)) require.Equal(t, 1, e.Equal(a.Square(a)), "exp = %d, j = %d", exp, j) } } func TestFqNeg(t *testing.T) { g := Bls12381FqNew().SetRaw(&fqGenerator) a := Bls12381FqNew().SetOne() a.Neg(a) e := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0xfffffffd00000003, 0xfb38ec08fffb13fc, 0x99ad88181ce5880f, 0x5bc8f5f97cd877d8}) require.Equal(t, 1, e.Equal(a)) a.Neg(g) e = Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0xfffffff000000010, 0x3bda402fffe5bfef, 0x339d80809a1d8055, 0x3eda753299d7d483}) require.Equal(t, e, a) } func TestFqExp(t *testing.T) { e := Bls12381FqNew().SetUint64(8) a := Bls12381FqNew().SetUint64(2) by := Bls12381FqNew().SetUint64(3) require.Equal(t, e, a.Exp(a, by)) } func TestFqSqrt(t *testing.T) { t1 := Bls12381FqNew().SetUint64(2) t2 := Bls12381FqNew().Neg(t1) t3 := Bls12381FqNew().Square(t1) _, wasSquare := t3.Sqrt(t3) require.True(t, wasSquare) require.Equal(t, 1, t1.Equal(t3)|t2.Equal(t3)) t1.SetUint64(5) _, wasSquare = Bls12381FqNew().Sqrt(t1) require.False(t, wasSquare) } func TestFqInvert(t *testing.T) { twoInv := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0xffffffff, 0xac425bfd0001a401, 0xccc627f7f65e27fa, 0xc1258acd66282b7}) two := Bls12381FqNew().SetUint64(2) a, inverted := Bls12381FqNew().Invert(two) require.True(t, inverted) require.Equal(t, a, twoInv) rootOfUnity := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0xb9b58d8c5f0e466a, 0x5b1b4c801819d7ec, 0x0af53ae352a31e64, 0x5bf3adda19e9b27b}) rootOfUnityInv := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0x4256481adcf3219a, 0x45f37b7f96b6cad3, 0xf9c3f1d75f7a3b27, 0x2d2fc049658afd43}) a, inverted = Bls12381FqNew().Invert(rootOfUnity) require.True(t, inverted) require.Equal(t, a, rootOfUnityInv) lhs := Bls12381FqNew().SetUint64(9) rhs := Bls12381FqNew().SetUint64(3) rhsInv, inverted := Bls12381FqNew().Invert(rhs) require.True(t, inverted) require.Equal(t, rhs, Bls12381FqNew().Mul(lhs, rhsInv)) rhs.SetZero() _, inverted = Bls12381FqNew().Invert(rhs) require.False(t, inverted) } func TestFqCMove(t *testing.T) { t1 := Bls12381FqNew().SetUint64(5) t2 := Bls12381FqNew().SetUint64(10) require.Equal(t, t1, Bls12381FqNew().CMove(t1, t2, 0)) require.Equal(t, t2, Bls12381FqNew().CMove(t1, t2, 1)) } func TestFqBytes(t *testing.T) { t1 := Bls12381FqNew().SetUint64(99) seq := t1.Bytes() t2, err := Bls12381FqNew().SetBytes(&seq) require.NoError(t, err) require.Equal(t, t1, t2) for i := 0; i < 25; i++ { t1.SetUint64(rand.Uint64()) seq = t1.Bytes() _, err = t2.SetBytes(&seq) require.NoError(t, err) require.Equal(t, t1, t2) } } func TestFqCmp(t *testing.T) { tests := []struct { a *native.Field b *native.Field e int }{ { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{2731658267414164836, 14655288906067898431, 6537465423330262322, 8306191141697566219}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{6472764012681988529, 10848812988401906064, 2961825807536828898, 4282183981941645679}), e: 1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{8023004109510539223, 4652004072850285717, 1877219145646046927, 383214385093921911}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{10099384440823804262, 16139476942229308465, 8636966320777393798, 5435928725024696785}), e: -1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{3741840066202388211, 12165774400417314871, 16619312580230515379, 16195032234110087705}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{3905865991286066744, 543690822309071825, 17963103015950210055, 3745476720756119742}), e: 1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{16660853697936147788, 7799793619412111108, 13515141085171033220, 2641079731236069032}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{17790588295388238399, 571847801379669440, 14537208974498222469, 12792570372087452754}), e: -1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{3912839285384959186, 2701177075110484070, 6453856448115499033, 6475797457962597458}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{1282566391665688512, 13503640416992806563, 2962240104675990153, 3374904770947067689}), e: 1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{5716631803409360103, 7859567470082614154, 12747956220853330146, 18434584096087315020}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{16317076441459028418, 12854146980376319601, 2258436689269031143, 9531877130792223752}), e: 1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{17955191469941083403, 10350326247207200880, 17263512235150705075, 12700328451238078022}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{6767595547459644695, 7146403825494928147, 12269344038346710612, 9122477829383225603}), e: 1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{17099388671847024438, 6426264987820696548, 10641143464957227405, 7709745403700754098}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{10799154372990268556, 17178492485719929374, 5705777922258988797, 8051037767683567782}), e: -1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{4567139260680454325, 1629385880182139061, 16607020832317899145, 1261011562621553200}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{13487234491304534488, 17872642955936089265, 17651026784972590233, 9468934643333871559}), e: -1, }, { a: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{18071070103467571798, 11787850505799426140, 10631355976141928593, 4867785203635092610}), b: Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{12596443599426461624, 10176122686151524591, 17075755296887483439, 6726169532695070719}), e: -1, }, } for _, test := range tests { require.Equal(t, test.e, test.a.Cmp(test.b)) require.Equal(t, -test.e, test.b.Cmp(test.a)) require.Equal(t, 0, test.a.Cmp(test.a)) require.Equal(t, 0, test.b.Cmp(test.b)) } } func TestFqBigInt(t *testing.T) { t1 := Bls12381FqNew().SetBigInt(big.NewInt(9999)) t2 := Bls12381FqNew().SetBigInt(t1.BigInt()) require.Equal(t, t1, t2) e := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0x673053fc60e06500, 0x86e6d480b4f76ada, 0x7fc68f9fefa23291, 0x3fb17f49bdda126d}) b := new( big.Int, ).SetBytes([]byte{9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9}) t1.SetBigInt(b) require.Equal(t, e, t1) e.Neg(e) b.Neg(b) t1.SetBigInt(b) require.Equal(t, e, t1) } func TestFqSetBytesWide(t *testing.T) { e := Bls12381FqNew().SetRaw(&[native.FieldLimbs]uint64{0xc759fba87ff8c5a6, 0x9ef5194839e7df44, 0x21375d22b678bf0e, 0x38b105387033fd57}) a := Bls12381FqNew().SetBytesWide(&[64]byte{ 0x69, 0x23, 0x5a, 0x0b, 0xce, 0x0c, 0xa8, 0x64, 0x3c, 0x78, 0xbc, 0x01, 0x05, 0xef, 0xf2, 0x84, 0xde, 0xbb, 0x6b, 0xc8, 0x63, 0x5e, 0x6e, 0x69, 0x62, 0xcc, 0xc6, 0x2d, 0xf5, 0x72, 0x40, 0x92, 0x28, 0x11, 0xd6, 0xc8, 0x07, 0xa5, 0x88, 0x82, 0xfe, 0xe3, 0x97, 0xf6, 0x1e, 0xfb, 0x2e, 0x3b, 0x27, 0x5f, 0x85, 0x06, 0x8d, 0x99, 0xa4, 0x75, 0xc0, 0x2c, 0x71, 0x69, 0x9e, 0x58, 0xea, 0x52, }) require.Equal(t, e, a) } func TestFqSetBytesWideBigInt(t *testing.T) { params := getBls12381FqParams() var tv2 [64]byte for i := 0; i < 25; i++ { _, _ = crand.Read(tv2[:]) e := new(big.Int).SetBytes(tv2[:]) e.Mod(e, params.BiModulus) tv := internal.ReverseScalarBytes(tv2[:]) copy(tv2[:], tv) a := Bls12381FqNew().SetBytesWide(&tv2) require.Equal(t, 0, e.Cmp(a.BigInt())) } } func TestFqToMontgomery(t *testing.T) { v := Bls12381FqNew().SetUint64(2) require.Equal( t, [native.FieldLimbs]uint64{ 0x3fffffffc, 0xb1096ff400069004, 0x33189fdfd9789fea, 0x304962b3598a0adf, }, v.Value, ) } func TestFqFromMontgomery(t *testing.T) { e := [native.FieldLimbs]uint64{2, 0, 0, 0} a := [native.FieldLimbs]uint64{0, 0, 0, 0} v := Bls12381FqNew().SetUint64(2) v.Arithmetic.FromMontgomery(&a, &v.Value) require.Equal(t, e, a) }