From f437307877f4c8e423f787de5c9636b985d322f5 Mon Sep 17 00:00:00 2001 From: Marius van der Wijden Date: Tue, 16 Apr 2024 10:53:43 +0200 Subject: [PATCH] core/vm: update gascosts for BLS12-381 + use gnark instead of kilic (#29441) This PR updates the bls contracts from our internal implementation which is an unmaintained fork of the kilic library to the gnark-crypto library that is actively maintained by consensys. It also updates the gas-costs according to the EIP --- core/vm/contracts.go | 226 +- core/vm/contracts_test.go | 4 +- core/vm/testdata/precompiles/blsG1Add.json | 208 +- core/vm/testdata/precompiles/blsG2Add.json | 208 +- core/vm/testdata/precompiles/blsG2Mul.json | 208 +- .../testdata/precompiles/blsG2MultiExp.json | 276 ++- core/vm/testdata/precompiles/blsMapG2.json | 200 +- core/vm/testdata/precompiles/blsPairing.json | 200 +- .../testdata/precompiles/fail-blsG1Add.json | 4 +- .../testdata/precompiles/fail-blsG1Mul.json | 4 +- .../precompiles/fail-blsG1MultiExp.json | 4 +- .../testdata/precompiles/fail-blsG2Add.json | 4 +- .../testdata/precompiles/fail-blsG2Mul.json | 4 +- .../precompiles/fail-blsG2MultiExp.json | 4 +- .../testdata/precompiles/fail-blsMapG1.json | 2 +- .../testdata/precompiles/fail-blsMapG2.json | 2 +- .../testdata/precompiles/fail-blsPairing.json | 6 +- crypto/bls12381/arithmetic_decl.go | 84 - crypto/bls12381/arithmetic_fallback.go | 567 ----- crypto/bls12381/arithmetic_x86.s | 2150 ----------------- crypto/bls12381/arithmetic_x86_adx.go | 25 - crypto/bls12381/arithmetic_x86_noadx.go | 25 - crypto/bls12381/bls12_381.go | 230 -- crypto/bls12381/bls12_381_test.go | 13 - crypto/bls12381/field_element.go | 340 --- crypto/bls12381/field_element_test.go | 250 -- crypto/bls12381/fp.go | 167 -- crypto/bls12381/fp12.go | 277 --- crypto/bls12381/fp2.go | 252 -- crypto/bls12381/fp6.go | 351 --- crypto/bls12381/fp_test.go | 1411 ----------- crypto/bls12381/g1.go | 434 ---- crypto/bls12381/g1_test.go | 284 --- crypto/bls12381/g2.go | 455 ---- crypto/bls12381/g2_test.go | 287 --- crypto/bls12381/gt.go | 121 - crypto/bls12381/isogeny.go | 227 -- crypto/bls12381/pairing.go | 282 --- crypto/bls12381/pairing_test.go | 230 -- crypto/bls12381/swu.go | 158 -- crypto/bls12381/utils.go | 45 - oss-fuzz.sh | 8 + params/protocol_params.go | 16 +- tests/fuzzers/bls12381/bls12381_fuzz.go | 44 +- tests/fuzzers/bls12381/bls12381_test.go | 12 + 45 files changed, 910 insertions(+), 9399 deletions(-) delete mode 100644 crypto/bls12381/arithmetic_decl.go delete mode 100644 crypto/bls12381/arithmetic_fallback.go delete mode 100644 crypto/bls12381/arithmetic_x86.s delete mode 100644 crypto/bls12381/arithmetic_x86_adx.go delete mode 100644 crypto/bls12381/arithmetic_x86_noadx.go delete mode 100644 crypto/bls12381/bls12_381.go delete mode 100644 crypto/bls12381/bls12_381_test.go delete mode 100644 crypto/bls12381/field_element.go delete mode 100644 crypto/bls12381/field_element_test.go delete mode 100644 crypto/bls12381/fp.go delete mode 100644 crypto/bls12381/fp12.go delete mode 100644 crypto/bls12381/fp2.go delete mode 100644 crypto/bls12381/fp6.go delete mode 100644 crypto/bls12381/fp_test.go delete mode 100644 crypto/bls12381/g1.go delete mode 100644 crypto/bls12381/g1_test.go delete mode 100644 crypto/bls12381/g2.go delete mode 100644 crypto/bls12381/g2_test.go delete mode 100644 crypto/bls12381/gt.go delete mode 100644 crypto/bls12381/isogeny.go delete mode 100644 crypto/bls12381/pairing.go delete mode 100644 crypto/bls12381/pairing_test.go delete mode 100644 crypto/bls12381/swu.go delete mode 100644 crypto/bls12381/utils.go diff --git a/core/vm/contracts.go b/core/vm/contracts.go index 140d0e087d..4ca151c365 100644 --- a/core/vm/contracts.go +++ b/core/vm/contracts.go @@ -23,12 +23,15 @@ import ( "fmt" "math/big" + "github.com/consensys/gnark-crypto/ecc" + bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381" + "github.com/consensys/gnark-crypto/ecc/bls12-381/fp" + "github.com/consensys/gnark-crypto/ecc/bls12-381/fr" "github.com/ethereum/go-ethereum/common" "github.com/ethereum/go-ethereum/common/math" "github.com/ethereum/go-ethereum/core/tracing" "github.com/ethereum/go-ethereum/crypto" "github.com/ethereum/go-ethereum/crypto/blake2b" - "github.com/ethereum/go-ethereum/crypto/bls12381" "github.com/ethereum/go-ethereum/crypto/bn256" "github.com/ethereum/go-ethereum/crypto/kzg4844" "github.com/ethereum/go-ethereum/params" @@ -673,26 +676,22 @@ func (c *bls12381G1Add) Run(input []byte) ([]byte, error) { return nil, errBLS12381InvalidInputLength } var err error - var p0, p1 *bls12381.PointG1 - - // Initialize G1 - g := bls12381.NewG1() + var p0, p1 *bls12381.G1Affine // Decode G1 point p_0 - if p0, err = g.DecodePoint(input[:128]); err != nil { + if p0, err = decodePointG1(input[:128]); err != nil { return nil, err } // Decode G1 point p_1 - if p1, err = g.DecodePoint(input[128:]); err != nil { + if p1, err = decodePointG1(input[128:]); err != nil { return nil, err } // Compute r = p_0 + p_1 - r := g.New() - g.Add(r, p0, p1) + p0.Add(p0, p1) // Encode the G1 point result into 128 bytes - return g.EncodePoint(r), nil + return encodePointG1(p0), nil } // bls12381G1Mul implements EIP-2537 G1Mul precompile. @@ -711,24 +710,21 @@ func (c *bls12381G1Mul) Run(input []byte) ([]byte, error) { return nil, errBLS12381InvalidInputLength } var err error - var p0 *bls12381.PointG1 - - // Initialize G1 - g := bls12381.NewG1() + var p0 *bls12381.G1Affine // Decode G1 point - if p0, err = g.DecodePoint(input[:128]); err != nil { + if p0, err = decodePointG1(input[:128]); err != nil { return nil, err } // Decode scalar value e := new(big.Int).SetBytes(input[128:]) // Compute r = e * p_0 - r := g.New() - g.MulScalar(r, p0, e) + r := new(bls12381.G1Affine) + r.ScalarMultiplication(p0, e) // Encode the G1 point into 128 bytes - return g.EncodePoint(r), nil + return encodePointG1(r), nil } // bls12381G1MultiExp implements EIP-2537 G1MultiExp precompile. @@ -761,31 +757,29 @@ func (c *bls12381G1MultiExp) Run(input []byte) ([]byte, error) { if len(input) == 0 || len(input)%160 != 0 { return nil, errBLS12381InvalidInputLength } - var err error - points := make([]*bls12381.PointG1, k) - scalars := make([]*big.Int, k) - - // Initialize G1 - g := bls12381.NewG1() + points := make([]bls12381.G1Affine, k) + scalars := make([]fr.Element, k) // Decode point scalar pairs for i := 0; i < k; i++ { off := 160 * i t0, t1, t2 := off, off+128, off+160 // Decode G1 point - if points[i], err = g.DecodePoint(input[t0:t1]); err != nil { + p, err := decodePointG1(input[t0:t1]) + if err != nil { return nil, err } + points[i] = *p // Decode scalar value - scalars[i] = new(big.Int).SetBytes(input[t1:t2]) + scalars[i] = *new(fr.Element).SetBytes(input[t1:t2]) } // Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1) - r := g.New() - g.MultiExp(r, points, scalars) + r := new(bls12381.G1Affine) + r.MultiExp(points, scalars, ecc.MultiExpConfig{}) // Encode the G1 point to 128 bytes - return g.EncodePoint(r), nil + return encodePointG1(r), nil } // bls12381G2Add implements EIP-2537 G2Add precompile. @@ -804,26 +798,23 @@ func (c *bls12381G2Add) Run(input []byte) ([]byte, error) { return nil, errBLS12381InvalidInputLength } var err error - var p0, p1 *bls12381.PointG2 - - // Initialize G2 - g := bls12381.NewG2() - r := g.New() + var p0, p1 *bls12381.G2Affine // Decode G2 point p_0 - if p0, err = g.DecodePoint(input[:256]); err != nil { + if p0, err = decodePointG2(input[:256]); err != nil { return nil, err } // Decode G2 point p_1 - if p1, err = g.DecodePoint(input[256:]); err != nil { + if p1, err = decodePointG2(input[256:]); err != nil { return nil, err } // Compute r = p_0 + p_1 - g.Add(r, p0, p1) + r := new(bls12381.G2Affine) + r.Add(p0, p1) // Encode the G2 point into 256 bytes - return g.EncodePoint(r), nil + return encodePointG2(r), nil } // bls12381G2Mul implements EIP-2537 G2Mul precompile. @@ -842,24 +833,21 @@ func (c *bls12381G2Mul) Run(input []byte) ([]byte, error) { return nil, errBLS12381InvalidInputLength } var err error - var p0 *bls12381.PointG2 - - // Initialize G2 - g := bls12381.NewG2() + var p0 *bls12381.G2Affine // Decode G2 point - if p0, err = g.DecodePoint(input[:256]); err != nil { + if p0, err = decodePointG2(input[:256]); err != nil { return nil, err } // Decode scalar value e := new(big.Int).SetBytes(input[256:]) // Compute r = e * p_0 - r := g.New() - g.MulScalar(r, p0, e) + r := new(bls12381.G2Affine) + r.ScalarMultiplication(p0, e) // Encode the G2 point into 256 bytes - return g.EncodePoint(r), nil + return encodePointG2(r), nil } // bls12381G2MultiExp implements EIP-2537 G2MultiExp precompile. @@ -892,31 +880,29 @@ func (c *bls12381G2MultiExp) Run(input []byte) ([]byte, error) { if len(input) == 0 || len(input)%288 != 0 { return nil, errBLS12381InvalidInputLength } - var err error - points := make([]*bls12381.PointG2, k) - scalars := make([]*big.Int, k) - - // Initialize G2 - g := bls12381.NewG2() + points := make([]bls12381.G2Affine, k) + scalars := make([]fr.Element, k) // Decode point scalar pairs for i := 0; i < k; i++ { off := 288 * i t0, t1, t2 := off, off+256, off+288 - // Decode G1 point - if points[i], err = g.DecodePoint(input[t0:t1]); err != nil { + // Decode G2 point + p, err := decodePointG2(input[t0:t1]) + if err != nil { return nil, err } + points[i] = *p // Decode scalar value - scalars[i] = new(big.Int).SetBytes(input[t1:t2]) + scalars[i] = *new(fr.Element).SetBytes(input[t1:t2]) } // Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1) - r := g.New() - g.MultiExp(r, points, scalars) + r := new(bls12381.G2Affine) + r.MultiExp(points, scalars, ecc.MultiExpConfig{}) // Encode the G2 point to 256 bytes. - return g.EncodePoint(r), nil + return encodePointG2(r), nil } // bls12381Pairing implements EIP-2537 Pairing precompile. @@ -939,9 +925,10 @@ func (c *bls12381Pairing) Run(input []byte) ([]byte, error) { return nil, errBLS12381InvalidInputLength } - // Initialize BLS12-381 pairing engine - e := bls12381.NewPairingEngine() - g1, g2 := e.G1, e.G2 + var ( + p []bls12381.G1Affine + q []bls12381.G2Affine + ) // Decode pairs for i := 0; i < k; i++ { @@ -949,53 +936,125 @@ func (c *bls12381Pairing) Run(input []byte) ([]byte, error) { t0, t1, t2 := off, off+128, off+384 // Decode G1 point - p1, err := g1.DecodePoint(input[t0:t1]) + p1, err := decodePointG1(input[t0:t1]) if err != nil { return nil, err } // Decode G2 point - p2, err := g2.DecodePoint(input[t1:t2]) + p2, err := decodePointG2(input[t1:t2]) if err != nil { return nil, err } // 'point is on curve' check already done, // Here we need to apply subgroup checks. - if !g1.InCorrectSubgroup(p1) { + if !p1.IsInSubGroup() { return nil, errBLS12381G1PointSubgroup } - if !g2.InCorrectSubgroup(p2) { + if !p2.IsInSubGroup() { return nil, errBLS12381G2PointSubgroup } - - // Update pairing engine with G1 and G2 points - e.AddPair(p1, p2) + p = append(p, *p1) + q = append(q, *p2) } // Prepare 32 byte output out := make([]byte, 32) // Compute pairing and set the result - if e.Check() { + ok, err := bls12381.PairingCheck(p, q) + if err == nil && ok { out[31] = 1 } return out, nil } +func decodePointG1(in []byte) (*bls12381.G1Affine, error) { + if len(in) != 128 { + return nil, errors.New("invalid g1 point length") + } + // decode x + x, err := decodeBLS12381FieldElement(in[:64]) + if err != nil { + return nil, err + } + // decode y + y, err := decodeBLS12381FieldElement(in[64:]) + if err != nil { + return nil, err + } + elem := bls12381.G1Affine{X: x, Y: y} + if !elem.IsOnCurve() { + return nil, errors.New("invalid point: not on curve") + } + + return &elem, nil +} + +// decodePointG2 given encoded (x, y) coordinates in 256 bytes returns a valid G2 Point. +func decodePointG2(in []byte) (*bls12381.G2Affine, error) { + if len(in) != 256 { + return nil, errors.New("invalid g2 point length") + } + x0, err := decodeBLS12381FieldElement(in[:64]) + if err != nil { + return nil, err + } + x1, err := decodeBLS12381FieldElement(in[64:128]) + if err != nil { + return nil, err + } + y0, err := decodeBLS12381FieldElement(in[128:192]) + if err != nil { + return nil, err + } + y1, err := decodeBLS12381FieldElement(in[192:]) + if err != nil { + return nil, err + } + + p := bls12381.G2Affine{X: bls12381.E2{A0: x0, A1: x1}, Y: bls12381.E2{A0: y0, A1: y1}} + if !p.IsOnCurve() { + return nil, errors.New("invalid point: not on curve") + } + return &p, err +} + // decodeBLS12381FieldElement decodes BLS12-381 elliptic curve field element. // Removes top 16 bytes of 64 byte input. -func decodeBLS12381FieldElement(in []byte) ([]byte, error) { +func decodeBLS12381FieldElement(in []byte) (fp.Element, error) { if len(in) != 64 { - return nil, errors.New("invalid field element length") + return fp.Element{}, errors.New("invalid field element length") } // check top bytes for i := 0; i < 16; i++ { if in[i] != byte(0x00) { - return nil, errBLS12381InvalidFieldElementTopBytes + return fp.Element{}, errBLS12381InvalidFieldElementTopBytes } } - out := make([]byte, 48) - copy(out[:], in[16:]) - return out, nil + var res [48]byte + copy(res[:], in[16:]) + + return fp.BigEndian.Element(&res) +} + +// encodePointG1 encodes a point into 128 bytes. +func encodePointG1(p *bls12381.G1Affine) []byte { + out := make([]byte, 128) + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[16:]), p.X) + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[64+16:]), p.Y) + return out +} + +// encodePointG2 encodes a point into 256 bytes. +func encodePointG2(p *bls12381.G2Affine) []byte { + out := make([]byte, 256) + // encode x + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[16:16+48]), p.X.A0) + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[80:80+48]), p.X.A1) + // encode y + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[144:144+48]), p.Y.A0) + fp.BigEndian.PutElement((*[fp.Bytes]byte)(out[208:208+48]), p.Y.A1) + return out } // bls12381MapG1 implements EIP-2537 MapG1 precompile. @@ -1020,17 +1079,14 @@ func (c *bls12381MapG1) Run(input []byte) ([]byte, error) { return nil, err } - // Initialize G1 - g := bls12381.NewG1() - // Compute mapping - r, err := g.MapToCurve(fe) + r := bls12381.MapToG1(fe) if err != nil { return nil, err } // Encode the G1 point to 128 bytes - return g.EncodePoint(r), nil + return encodePointG1(&r), nil } // bls12381MapG2 implements EIP-2537 MapG2 precompile. @@ -1050,29 +1106,23 @@ func (c *bls12381MapG2) Run(input []byte) ([]byte, error) { } // Decode input field element - fe := make([]byte, 96) c0, err := decodeBLS12381FieldElement(input[:64]) if err != nil { return nil, err } - copy(fe[48:], c0) c1, err := decodeBLS12381FieldElement(input[64:]) if err != nil { return nil, err } - copy(fe[:48], c1) - - // Initialize G2 - g := bls12381.NewG2() // Compute mapping - r, err := g.MapToCurve(fe) + r := bls12381.MapToG2(bls12381.E2{A0: c0, A1: c1}) if err != nil { return nil, err } // Encode the G2 point to 256 bytes - return g.EncodePoint(r), nil + return encodePointG2(&r), nil } // kzgPointEvaluation implements the EIP-4844 point evaluation precompile. diff --git a/core/vm/contracts_test.go b/core/vm/contracts_test.go index 6608ff09fc..5c4d2ba61a 100644 --- a/core/vm/contracts_test.go +++ b/core/vm/contracts_test.go @@ -372,7 +372,7 @@ func BenchmarkPrecompiledBLS12381G1MultiExpWorstCase(b *testing.B) { Name: "WorstCaseG1", NoBenchmark: false, } - benchmarkPrecompiled("0c", testcase, b) + benchmarkPrecompiled("f0c", testcase, b) } // BenchmarkPrecompiledBLS12381G2MultiExpWorstCase benchmarks the worst case we could find that still fits a gaslimit of 10MGas. @@ -393,5 +393,5 @@ func BenchmarkPrecompiledBLS12381G2MultiExpWorstCase(b *testing.B) { Name: "WorstCaseG2", NoBenchmark: false, } - benchmarkPrecompiled("0f", testcase, b) + benchmarkPrecompiled("f0f", testcase, b) } diff --git a/core/vm/testdata/precompiles/blsG1Add.json b/core/vm/testdata/precompiles/blsG1Add.json index 184d765aa1..14a6b16df8 100644 --- a/core/vm/testdata/precompiles/blsG1Add.json +++ b/core/vm/testdata/precompiles/blsG1Add.json @@ -3,728 +3,728 @@ "Input": 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"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", "Expected": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1", "Name": "bls_g1add_(inf+g1=g1)", - "Gas": 600, + "Gas": 500, "NoBenchmark": false }, { "Input": 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index 64ca2006dc..a4a6fd929e 100644 --- a/core/vm/testdata/precompiles/blsG2Add.json +++ b/core/vm/testdata/precompiles/blsG2Add.json @@ -3,728 +3,728 @@ "Input": 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"Expected": "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", "Name": "matter_g2_add_97", - "Gas": 4500, + "Gas": 800, "NoBenchmark": false }, { "Input": 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"000000000000000000000000000000000f470603a402bc134db1b389fd187460f9eb2dd001a2e99f730af386508c62f0e911d831a2562da84bce11d39f2ff13f000000000000000000000000000000000d8c45f4ab20642d0cba9764126e0818b7d731a6ba29ed234d9d6309a5e8ddfbd85193f1fa8b7cfeed3d31b23b904ee9", "Expected": "0000000000000000000000000000000012e74d5a0c005a86ca148e9eff8e34a00bfa8b6e6aadf633d65cd09bb29917e0ceb0d5c9d9650c162d7fe4aa274526850000000000000000000000000000000005f09101a2088712619f9c096403b66855a12f9016c55aef6047372fba933f02d9d59db1a86df7be57978021e245782100000000000000000000000000000000136975b37fe400d1d217a2b496c1552b39be4e9e71dd7ad482f5f0836d271d02959fdb698dda3d0530587fb86e0db1dd0000000000000000000000000000000000bad0aabd9309e92e2dd752f4dd73be07c0de2c5ddd57916b9ffa065d7440d03d44e7c042075cda694414a9fb639bb7", "Name": "matter_fp2_to_g2_99", - "Gas": 110000, + "Gas": 75000, "NoBenchmark": false } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/blsPairing.json b/core/vm/testdata/precompiles/blsPairing.json index 138b13944a..f41d375943 100644 --- a/core/vm/testdata/precompiles/blsPairing.json +++ b/core/vm/testdata/precompiles/blsPairing.json @@ -3,700 +3,700 @@ "Input": "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", "Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "bls_pairing_e(2*G1,3*G2)=e(6*G1,G2)", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000000", "Name": "bls_pairing_e(2*G1,3*G2)=e(5*G1,G2)", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_22", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_23", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_24", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_28", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_29", - "Gas": 161000, + "Gas": 151000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_84", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_86", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_87", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_88", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_89", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_90", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_91", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_92", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_93", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": 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"Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_94", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false }, { "Input": "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", "Expected": "0000000000000000000000000000000000000000000000000000000000000001", "Name": "matter_pairing_95", - "Gas": 299000, + "Gas": 409000, "NoBenchmark": false } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG1Add.json b/core/vm/testdata/precompiles/fail-blsG1Add.json index e58ec0e90e..86bd3d660f 100644 --- a/core/vm/testdata/precompiles/fail-blsG1Add.json +++ b/core/vm/testdata/precompiles/fail-blsG1Add.json @@ -21,12 +21,12 @@ }, { "Input": "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", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g1add_invalid_field_element" }, { "Input": "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", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g1add_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG1Mul.json b/core/vm/testdata/precompiles/fail-blsG1Mul.json index acb8228aaa..7473d4d35c 100644 --- a/core/vm/testdata/precompiles/fail-blsG1Mul.json +++ b/core/vm/testdata/precompiles/fail-blsG1Mul.json @@ -21,12 +21,12 @@ }, { "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g1mul_invalid_field_element" }, { "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g1mul_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG1MultiExp.json b/core/vm/testdata/precompiles/fail-blsG1MultiExp.json index 2cd28bd3b5..24a46cc0d0 100644 --- a/core/vm/testdata/precompiles/fail-blsG1MultiExp.json +++ b/core/vm/testdata/precompiles/fail-blsG1MultiExp.json @@ -16,7 +16,7 @@ }, { "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g1multiexp_invalid_field_element" }, { @@ -26,7 +26,7 @@ }, { "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g1multiexp_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG2Add.json b/core/vm/testdata/precompiles/fail-blsG2Add.json index b1fe9d5b8d..b28a052b25 100644 --- a/core/vm/testdata/precompiles/fail-blsG2Add.json +++ b/core/vm/testdata/precompiles/fail-blsG2Add.json @@ -21,12 +21,12 @@ }, { "Input": "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", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g2add_invalid_field_element" }, { "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801000000000000000000000000000000000606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g2add_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG2Mul.json b/core/vm/testdata/precompiles/fail-blsG2Mul.json index c2f0b89c8a..54a13c7f95 100644 --- a/core/vm/testdata/precompiles/fail-blsG2Mul.json +++ b/core/vm/testdata/precompiles/fail-blsG2Mul.json @@ -21,12 +21,12 @@ }, { "Input": "00000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g2mul_invalid_field_element" }, { "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g2mul_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsG2MultiExp.json b/core/vm/testdata/precompiles/fail-blsG2MultiExp.json index 437f8dfca5..1679f17b30 100644 --- a/core/vm/testdata/precompiles/fail-blsG2MultiExp.json +++ b/core/vm/testdata/precompiles/fail-blsG2MultiExp.json @@ -21,12 +21,12 @@ }, { "Input": "00000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_g2multiexp_invalid_field_element" }, { "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_g2multiexp_point_not_on_curve" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsMapG1.json b/core/vm/testdata/precompiles/fail-blsMapG1.json index 8550269f12..8eacca4865 100644 --- a/core/vm/testdata/precompiles/fail-blsMapG1.json +++ b/core/vm/testdata/precompiles/fail-blsMapG1.json @@ -16,7 +16,7 @@ }, { "Input": "000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_mapg1_invalid_fq_element" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsMapG2.json b/core/vm/testdata/precompiles/fail-blsMapG2.json index 397a608b0a..184d3ecbaa 100644 --- a/core/vm/testdata/precompiles/fail-blsMapG2.json +++ b/core/vm/testdata/precompiles/fail-blsMapG2.json @@ -16,7 +16,7 @@ }, { "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_mapg2_invalid_fq_element" } ] \ No newline at end of file diff --git a/core/vm/testdata/precompiles/fail-blsPairing.json b/core/vm/testdata/precompiles/fail-blsPairing.json index 084e55635c..4314d7335d 100644 --- a/core/vm/testdata/precompiles/fail-blsPairing.json +++ b/core/vm/testdata/precompiles/fail-blsPairing.json @@ -11,7 +11,7 @@ }, { "Input": "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", - "ExpectedError": "must be less than modulus", + "ExpectedError": "invalid fp.Element encoding", "Name": "bls_pairing_invalid_field_element" }, { @@ -21,12 +21,12 @@ }, { "Input": "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", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_pairing_g1_not_on_curve" }, { "Input": "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", - "ExpectedError": "point is not on curve", + "ExpectedError": "invalid point: not on curve", "Name": "bls_pairing_g2_not_on_curve" }, { diff --git a/crypto/bls12381/arithmetic_decl.go b/crypto/bls12381/arithmetic_decl.go deleted file mode 100644 index f6d232d658..0000000000 --- a/crypto/bls12381/arithmetic_decl.go +++ /dev/null @@ -1,84 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -//go:build (amd64 && blsasm) || (amd64 && blsadx) -// +build amd64,blsasm amd64,blsadx - -package bls12381 - -import ( - "golang.org/x/sys/cpu" -) - -func init() { - if !enableADX || !cpu.X86.HasADX || !cpu.X86.HasBMI2 { - mul = mulNoADX - } -} - -// Use ADX backend for default -var mul func(c, a, b *fe) = mulADX - -func square(c, a *fe) { - mul(c, a, a) -} - -func neg(c, a *fe) { - if a.isZero() { - c.set(a) - } else { - _neg(c, a) - } -} - -//go:noescape -func add(c, a, b *fe) - -//go:noescape -func addAssign(a, b *fe) - -//go:noescape -func ladd(c, a, b *fe) - -//go:noescape -func laddAssign(a, b *fe) - -//go:noescape -func double(c, a *fe) - -//go:noescape -func doubleAssign(a *fe) - -//go:noescape -func ldouble(c, a *fe) - -//go:noescape -func sub(c, a, b *fe) - -//go:noescape -func subAssign(a, b *fe) - -//go:noescape -func lsubAssign(a, b *fe) - -//go:noescape -func _neg(c, a *fe) - -//go:noescape -func mulNoADX(c, a, b *fe) - -//go:noescape -func mulADX(c, a, b *fe) diff --git a/crypto/bls12381/arithmetic_fallback.go b/crypto/bls12381/arithmetic_fallback.go deleted file mode 100644 index c09ae0d91c..0000000000 --- a/crypto/bls12381/arithmetic_fallback.go +++ /dev/null @@ -1,567 +0,0 @@ -// Native go field arithmetic code is generated with 'goff' -// https://github.com/ConsenSys/goff -// Many function signature of field operations are renamed. - -// Copyright 2020 ConsenSys AG -// -// Licensed under the Apache License, Version 2.0 (the "License"); -// you may not use this file except in compliance with the License. -// You may obtain a copy of the License at -// -// http://www.apache.org/licenses/LICENSE-2.0 -// -// Unless required by applicable law or agreed to in writing, software -// distributed under the License is distributed on an "AS IS" BASIS, -// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -// See the License for the specific language governing permissions and -// limitations under the License. - -// field modulus q = -// -// 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787 -// Code generated by goff DO NOT EDIT -// goff version: v0.1.0 - build: 790f1f56eac432441e043abff8819eacddd1d668 -// fe are assumed to be in Montgomery form in all methods - -// /!\ WARNING /!\ -// this code has not been audited and is provided as-is. In particular, -// there is no security guarantees such as constant time implementation -// or side-channel attack resistance -// /!\ WARNING /!\ - -// Package bls (generated by goff) contains field arithmetics operations - -//go:build !amd64 || (!blsasm && !blsadx) -// +build !amd64 !blsasm,!blsadx - -package bls12381 - -import ( - "math/bits" -) - -func add(z, x, y *fe) { - var carry uint64 - - z[0], carry = bits.Add64(x[0], y[0], 0) - z[1], carry = bits.Add64(x[1], y[1], carry) - z[2], carry = bits.Add64(x[2], y[2], carry) - z[3], carry = bits.Add64(x[3], y[3], carry) - z[4], carry = bits.Add64(x[4], y[4], carry) - z[5], _ = bits.Add64(x[5], y[5], carry) - - // if z > q --> z -= q - // note: this is NOT constant time - if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) { - var b uint64 - z[0], b = bits.Sub64(z[0], 13402431016077863595, 0) - z[1], b = bits.Sub64(z[1], 2210141511517208575, b) - z[2], b = bits.Sub64(z[2], 7435674573564081700, b) - z[3], b = bits.Sub64(z[3], 7239337960414712511, b) - z[4], b = bits.Sub64(z[4], 5412103778470702295, b) - z[5], _ = bits.Sub64(z[5], 1873798617647539866, b) - } -} - -func addAssign(x, y *fe) { - var carry uint64 - - x[0], carry = bits.Add64(x[0], y[0], 0) - x[1], carry = bits.Add64(x[1], y[1], carry) - x[2], carry = bits.Add64(x[2], y[2], carry) - x[3], carry = bits.Add64(x[3], y[3], carry) - x[4], carry = bits.Add64(x[4], y[4], carry) - x[5], _ = bits.Add64(x[5], y[5], carry) - - // if z > q --> z -= q - // note: this is NOT constant time - if !(x[5] < 1873798617647539866 || (x[5] == 1873798617647539866 && (x[4] < 5412103778470702295 || (x[4] == 5412103778470702295 && (x[3] < 7239337960414712511 || (x[3] == 7239337960414712511 && (x[2] < 7435674573564081700 || (x[2] == 7435674573564081700 && (x[1] < 2210141511517208575 || (x[1] == 2210141511517208575 && (x[0] < 13402431016077863595))))))))))) { - var b uint64 - x[0], b = bits.Sub64(x[0], 13402431016077863595, 0) - x[1], b = bits.Sub64(x[1], 2210141511517208575, b) - x[2], b = bits.Sub64(x[2], 7435674573564081700, b) - x[3], b = bits.Sub64(x[3], 7239337960414712511, b) - x[4], b = bits.Sub64(x[4], 5412103778470702295, b) - x[5], _ = bits.Sub64(x[5], 1873798617647539866, b) - } -} - -func ladd(z, x, y *fe) { - var carry uint64 - z[0], carry = bits.Add64(x[0], y[0], 0) - z[1], carry = bits.Add64(x[1], y[1], carry) - z[2], carry = bits.Add64(x[2], y[2], carry) - z[3], carry = bits.Add64(x[3], y[3], carry) - z[4], carry = bits.Add64(x[4], y[4], carry) - z[5], _ = bits.Add64(x[5], y[5], carry) -} - -func laddAssign(x, y *fe) { - var carry uint64 - x[0], carry = bits.Add64(x[0], y[0], 0) - x[1], carry = bits.Add64(x[1], y[1], carry) - x[2], carry = bits.Add64(x[2], y[2], carry) - x[3], carry = bits.Add64(x[3], y[3], carry) - x[4], carry = bits.Add64(x[4], y[4], carry) - x[5], _ = bits.Add64(x[5], y[5], carry) -} - -func double(z, x *fe) { - var carry uint64 - - z[0], carry = bits.Add64(x[0], x[0], 0) - z[1], carry = bits.Add64(x[1], x[1], carry) - z[2], carry = bits.Add64(x[2], x[2], carry) - z[3], carry = bits.Add64(x[3], x[3], carry) - z[4], carry = bits.Add64(x[4], x[4], carry) - z[5], _ = bits.Add64(x[5], x[5], carry) - - // if z > q --> z -= q - // note: this is NOT constant time - if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) { - var b uint64 - z[0], b = bits.Sub64(z[0], 13402431016077863595, 0) - z[1], b = bits.Sub64(z[1], 2210141511517208575, b) - z[2], b = bits.Sub64(z[2], 7435674573564081700, b) - z[3], b = bits.Sub64(z[3], 7239337960414712511, b) - z[4], b = bits.Sub64(z[4], 5412103778470702295, b) - z[5], _ = bits.Sub64(z[5], 1873798617647539866, b) - } -} - -func doubleAssign(z *fe) { - var carry uint64 - - z[0], carry = bits.Add64(z[0], z[0], 0) - z[1], carry = bits.Add64(z[1], z[1], carry) - z[2], carry = bits.Add64(z[2], z[2], carry) - z[3], carry = bits.Add64(z[3], z[3], carry) - z[4], carry = bits.Add64(z[4], z[4], carry) - z[5], _ = bits.Add64(z[5], z[5], carry) - - // if z > q --> z -= q - // note: this is NOT constant time - if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) { - var b uint64 - z[0], b = bits.Sub64(z[0], 13402431016077863595, 0) - z[1], b = bits.Sub64(z[1], 2210141511517208575, b) - z[2], b = bits.Sub64(z[2], 7435674573564081700, b) - z[3], b = bits.Sub64(z[3], 7239337960414712511, b) - z[4], b = bits.Sub64(z[4], 5412103778470702295, b) - z[5], _ = bits.Sub64(z[5], 1873798617647539866, b) - } -} - -func ldouble(z, x *fe) { - var carry uint64 - - z[0], carry = bits.Add64(x[0], x[0], 0) - z[1], carry = bits.Add64(x[1], x[1], carry) - z[2], carry = bits.Add64(x[2], x[2], carry) - z[3], carry = bits.Add64(x[3], x[3], carry) - z[4], carry = bits.Add64(x[4], x[4], carry) - z[5], _ = bits.Add64(x[5], x[5], carry) -} - -func sub(z, x, y *fe) { - var b uint64 - z[0], b = bits.Sub64(x[0], y[0], 0) - z[1], b = bits.Sub64(x[1], y[1], b) - z[2], b = bits.Sub64(x[2], y[2], b) - z[3], b = bits.Sub64(x[3], y[3], b) - z[4], b = bits.Sub64(x[4], y[4], b) - z[5], b = bits.Sub64(x[5], y[5], b) - if b != 0 { - var c uint64 - z[0], c = bits.Add64(z[0], 13402431016077863595, 0) - z[1], c = bits.Add64(z[1], 2210141511517208575, c) - z[2], c = bits.Add64(z[2], 7435674573564081700, c) - z[3], c = bits.Add64(z[3], 7239337960414712511, c) - z[4], c = bits.Add64(z[4], 5412103778470702295, c) - z[5], _ = bits.Add64(z[5], 1873798617647539866, c) - } -} - -func subAssign(z, x *fe) { - var b uint64 - z[0], b = bits.Sub64(z[0], x[0], 0) - z[1], b = bits.Sub64(z[1], x[1], b) - z[2], b = bits.Sub64(z[2], x[2], b) - z[3], b = bits.Sub64(z[3], x[3], b) - z[4], b = bits.Sub64(z[4], x[4], b) - z[5], b = bits.Sub64(z[5], x[5], b) - if b != 0 { - var c uint64 - z[0], c = bits.Add64(z[0], 13402431016077863595, 0) - z[1], c = bits.Add64(z[1], 2210141511517208575, c) - z[2], c = bits.Add64(z[2], 7435674573564081700, c) - z[3], c = bits.Add64(z[3], 7239337960414712511, c) - z[4], c = bits.Add64(z[4], 5412103778470702295, c) - z[5], _ = bits.Add64(z[5], 1873798617647539866, c) - } -} - -func lsubAssign(z, x *fe) { - var b uint64 - z[0], b = bits.Sub64(z[0], x[0], 0) - z[1], b = bits.Sub64(z[1], x[1], b) - z[2], b = bits.Sub64(z[2], x[2], b) - z[3], b = bits.Sub64(z[3], x[3], b) - z[4], b = bits.Sub64(z[4], x[4], b) - z[5], _ = bits.Sub64(z[5], x[5], b) -} - -func neg(z *fe, x *fe) { - if x.isZero() { - z.zero() - return - } - var borrow uint64 - z[0], borrow = bits.Sub64(13402431016077863595, x[0], 0) - z[1], borrow = bits.Sub64(2210141511517208575, x[1], borrow) - z[2], borrow = bits.Sub64(7435674573564081700, x[2], borrow) - z[3], borrow = bits.Sub64(7239337960414712511, x[3], borrow) - z[4], borrow = bits.Sub64(5412103778470702295, x[4], borrow) - z[5], _ = bits.Sub64(1873798617647539866, x[5], borrow) -} - -func mul(z, x, y *fe) { - var t [6]uint64 - var c [3]uint64 - { - // round 0 - v := x[0] - c[1], c[0] = bits.Mul64(v, y[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd1(v, y[1], c[1]) - c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd1(v, y[2], c[1]) - c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd1(v, y[3], c[1]) - c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd1(v, y[4], c[1]) - c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd1(v, y[5], c[1]) - t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - { - // round 1 - v := x[1] - c[1], c[0] = madd1(v, y[0], t[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd2(v, y[1], c[1], t[1]) - c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd2(v, y[2], c[1], t[2]) - c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd2(v, y[3], c[1], t[3]) - c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd2(v, y[4], c[1], t[4]) - c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd2(v, y[5], c[1], t[5]) - t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - { - // round 2 - v := x[2] - c[1], c[0] = madd1(v, y[0], t[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd2(v, y[1], c[1], t[1]) - c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd2(v, y[2], c[1], t[2]) - c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd2(v, y[3], c[1], t[3]) - c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd2(v, y[4], c[1], t[4]) - c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd2(v, y[5], c[1], t[5]) - t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - { - // round 3 - v := x[3] - c[1], c[0] = madd1(v, y[0], t[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd2(v, y[1], c[1], t[1]) - c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd2(v, y[2], c[1], t[2]) - c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd2(v, y[3], c[1], t[3]) - c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd2(v, y[4], c[1], t[4]) - c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd2(v, y[5], c[1], t[5]) - t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - { - // round 4 - v := x[4] - c[1], c[0] = madd1(v, y[0], t[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd2(v, y[1], c[1], t[1]) - c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd2(v, y[2], c[1], t[2]) - c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd2(v, y[3], c[1], t[3]) - c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd2(v, y[4], c[1], t[4]) - c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd2(v, y[5], c[1], t[5]) - t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - { - // round 5 - v := x[5] - c[1], c[0] = madd1(v, y[0], t[0]) - m := c[0] * 9940570264628428797 - c[2] = madd0(m, 13402431016077863595, c[0]) - c[1], c[0] = madd2(v, y[1], c[1], t[1]) - c[2], z[0] = madd2(m, 2210141511517208575, c[2], c[0]) - c[1], c[0] = madd2(v, y[2], c[1], t[2]) - c[2], z[1] = madd2(m, 7435674573564081700, c[2], c[0]) - c[1], c[0] = madd2(v, y[3], c[1], t[3]) - c[2], z[2] = madd2(m, 7239337960414712511, c[2], c[0]) - c[1], c[0] = madd2(v, y[4], c[1], t[4]) - c[2], z[3] = madd2(m, 5412103778470702295, c[2], c[0]) - c[1], c[0] = madd2(v, y[5], c[1], t[5]) - z[5], z[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1]) - } - - // if z > q --> z -= q - // note: this is NOT constant time - if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) { - var b uint64 - z[0], b = bits.Sub64(z[0], 13402431016077863595, 0) - z[1], b = bits.Sub64(z[1], 2210141511517208575, b) - z[2], b = bits.Sub64(z[2], 7435674573564081700, b) - z[3], b = bits.Sub64(z[3], 7239337960414712511, b) - z[4], b = bits.Sub64(z[4], 5412103778470702295, b) - z[5], _ = bits.Sub64(z[5], 1873798617647539866, b) - } -} - -func square(z, x *fe) { - - var p [6]uint64 - - var u, v uint64 - { - // round 0 - u, p[0] = bits.Mul64(x[0], x[0]) - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - var t uint64 - t, u, v = madd1sb(x[0], x[1], u) - C, p[0] = madd2(m, 2210141511517208575, v, C) - t, u, v = madd1s(x[0], x[2], t, u) - C, p[1] = madd2(m, 7435674573564081700, v, C) - t, u, v = madd1s(x[0], x[3], t, u) - C, p[2] = madd2(m, 7239337960414712511, v, C) - t, u, v = madd1s(x[0], x[4], t, u) - C, p[3] = madd2(m, 5412103778470702295, v, C) - _, u, v = madd1s(x[0], x[5], t, u) - p[5], p[4] = madd3(m, 1873798617647539866, v, C, u) - } - { - // round 1 - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - u, v = madd1(x[1], x[1], p[1]) - C, p[0] = madd2(m, 2210141511517208575, v, C) - var t uint64 - t, u, v = madd2sb(x[1], x[2], p[2], u) - C, p[1] = madd2(m, 7435674573564081700, v, C) - t, u, v = madd2s(x[1], x[3], p[3], t, u) - C, p[2] = madd2(m, 7239337960414712511, v, C) - t, u, v = madd2s(x[1], x[4], p[4], t, u) - C, p[3] = madd2(m, 5412103778470702295, v, C) - _, u, v = madd2s(x[1], x[5], p[5], t, u) - p[5], p[4] = madd3(m, 1873798617647539866, v, C, u) - } - { - // round 2 - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - C, p[0] = madd2(m, 2210141511517208575, p[1], C) - u, v = madd1(x[2], x[2], p[2]) - C, p[1] = madd2(m, 7435674573564081700, v, C) - var t uint64 - t, u, v = madd2sb(x[2], x[3], p[3], u) - C, p[2] = madd2(m, 7239337960414712511, v, C) - t, u, v = madd2s(x[2], x[4], p[4], t, u) - C, p[3] = madd2(m, 5412103778470702295, v, C) - _, u, v = madd2s(x[2], x[5], p[5], t, u) - p[5], p[4] = madd3(m, 1873798617647539866, v, C, u) - } - { - // round 3 - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - C, p[0] = madd2(m, 2210141511517208575, p[1], C) - C, p[1] = madd2(m, 7435674573564081700, p[2], C) - u, v = madd1(x[3], x[3], p[3]) - C, p[2] = madd2(m, 7239337960414712511, v, C) - var t uint64 - t, u, v = madd2sb(x[3], x[4], p[4], u) - C, p[3] = madd2(m, 5412103778470702295, v, C) - _, u, v = madd2s(x[3], x[5], p[5], t, u) - p[5], p[4] = madd3(m, 1873798617647539866, v, C, u) - } - { - // round 4 - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - C, p[0] = madd2(m, 2210141511517208575, p[1], C) - C, p[1] = madd2(m, 7435674573564081700, p[2], C) - C, p[2] = madd2(m, 7239337960414712511, p[3], C) - u, v = madd1(x[4], x[4], p[4]) - C, p[3] = madd2(m, 5412103778470702295, v, C) - _, u, v = madd2sb(x[4], x[5], p[5], u) - p[5], p[4] = madd3(m, 1873798617647539866, v, C, u) - } - { - // round 5 - m := p[0] * 9940570264628428797 - C := madd0(m, 13402431016077863595, p[0]) - C, z[0] = madd2(m, 2210141511517208575, p[1], C) - C, z[1] = madd2(m, 7435674573564081700, p[2], C) - C, z[2] = madd2(m, 7239337960414712511, p[3], C) - C, z[3] = madd2(m, 5412103778470702295, p[4], C) - u, v = madd1(x[5], x[5], p[5]) - z[5], z[4] = madd3(m, 1873798617647539866, v, C, u) - } - - // if z > q --> z -= q - // note: this is NOT constant time - if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) { - var b uint64 - z[0], b = bits.Sub64(z[0], 13402431016077863595, 0) - z[1], b = bits.Sub64(z[1], 2210141511517208575, b) - z[2], b = bits.Sub64(z[2], 7435674573564081700, b) - z[3], b = bits.Sub64(z[3], 7239337960414712511, b) - z[4], b = bits.Sub64(z[4], 5412103778470702295, b) - z[5], _ = bits.Sub64(z[5], 1873798617647539866, b) - } -} - -// arith.go -// Copyright 2020 ConsenSys AG -// -// Licensed under the Apache License, Version 2.0 (the "License"); -// you may not use this file except in compliance with the License. -// You may obtain a copy of the License at -// -// http://www.apache.org/licenses/LICENSE-2.0 -// -// Unless required by applicable law or agreed to in writing, software -// distributed under the License is distributed on an "AS IS" BASIS, -// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -// See the License for the specific language governing permissions and -// limitations under the License. - -// Code generated by goff DO NOT EDIT - -func madd(a, b, t, u, v uint64) (uint64, uint64, uint64) { - var carry uint64 - hi, lo := bits.Mul64(a, b) - v, carry = bits.Add64(lo, v, 0) - u, carry = bits.Add64(hi, u, carry) - t, _ = bits.Add64(t, 0, carry) - return t, u, v -} - -// madd0 hi = a*b + c (discards lo bits) -func madd0(a, b, c uint64) (hi uint64) { - var carry, lo uint64 - hi, lo = bits.Mul64(a, b) - _, carry = bits.Add64(lo, c, 0) - hi, _ = bits.Add64(hi, 0, carry) - return -} - -// madd1 hi, lo = a*b + c -func madd1(a, b, c uint64) (hi uint64, lo uint64) { - var carry uint64 - hi, lo = bits.Mul64(a, b) - lo, carry = bits.Add64(lo, c, 0) - hi, _ = bits.Add64(hi, 0, carry) - return -} - -// madd2 hi, lo = a*b + c + d -func madd2(a, b, c, d uint64) (hi uint64, lo uint64) { - var carry uint64 - hi, lo = bits.Mul64(a, b) - c, carry = bits.Add64(c, d, 0) - hi, _ = bits.Add64(hi, 0, carry) - lo, carry = bits.Add64(lo, c, 0) - hi, _ = bits.Add64(hi, 0, carry) - return -} - -// madd2s superhi, hi, lo = 2*a*b + c + d + e -func madd2s(a, b, c, d, e uint64) (superhi, hi, lo uint64) { - var carry, sum uint64 - - hi, lo = bits.Mul64(a, b) - lo, carry = bits.Add64(lo, lo, 0) - hi, superhi = bits.Add64(hi, hi, carry) - - sum, carry = bits.Add64(c, e, 0) - hi, _ = bits.Add64(hi, 0, carry) - lo, carry = bits.Add64(lo, sum, 0) - hi, _ = bits.Add64(hi, 0, carry) - hi, _ = bits.Add64(hi, 0, d) - return -} - -func madd1s(a, b, d, e uint64) (superhi, hi, lo uint64) { - var carry uint64 - - hi, lo = bits.Mul64(a, b) - lo, carry = bits.Add64(lo, lo, 0) - hi, superhi = bits.Add64(hi, hi, carry) - lo, carry = bits.Add64(lo, e, 0) - hi, _ = bits.Add64(hi, 0, carry) - hi, _ = bits.Add64(hi, 0, d) - return -} - -func madd2sb(a, b, c, e uint64) (superhi, hi, lo uint64) { - var carry, sum uint64 - - hi, lo = bits.Mul64(a, b) - lo, carry = bits.Add64(lo, lo, 0) - hi, superhi = bits.Add64(hi, hi, carry) - - sum, carry = bits.Add64(c, e, 0) - hi, _ = bits.Add64(hi, 0, carry) - lo, carry = bits.Add64(lo, sum, 0) - hi, _ = bits.Add64(hi, 0, carry) - return -} - -func madd1sb(a, b, e uint64) (superhi, hi, lo uint64) { - var carry uint64 - - hi, lo = bits.Mul64(a, b) - lo, carry = bits.Add64(lo, lo, 0) - hi, superhi = bits.Add64(hi, hi, carry) - lo, carry = bits.Add64(lo, e, 0) - hi, _ = bits.Add64(hi, 0, carry) - return -} - -func madd3(a, b, c, d, e uint64) (hi uint64, lo uint64) { - var carry uint64 - hi, lo = bits.Mul64(a, b) - c, carry = bits.Add64(c, d, 0) - hi, _ = bits.Add64(hi, 0, carry) - lo, carry = bits.Add64(lo, c, 0) - hi, _ = bits.Add64(hi, e, carry) - return -} diff --git a/crypto/bls12381/arithmetic_x86.s b/crypto/bls12381/arithmetic_x86.s deleted file mode 100644 index 2cebbc46f7..0000000000 --- a/crypto/bls12381/arithmetic_x86.s +++ /dev/null @@ -1,2150 +0,0 @@ -// +build amd64,blsasm amd64,blsadx - -#include "textflag.h" - -// addition w/ modular reduction -// a = (a + b) % p -TEXT ·addAssign(SB), NOSPLIT, $0-16 - // | - MOVQ a+0(FP), DI - MOVQ b+8(FP), SI - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - - // | - ADDQ (SI), R8 - ADCQ 8(SI), R9 - ADCQ 16(SI), R10 - ADCQ 24(SI), R11 - ADCQ 32(SI), R12 - ADCQ 40(SI), R13 - - // | - MOVQ R8, R14 - MOVQ R9, R15 - MOVQ R10, CX - MOVQ R11, DX - MOVQ R12, SI - MOVQ R13, BX - MOVQ $0xb9feffffffffaaab, AX - SUBQ AX, R14 - MOVQ $0x1eabfffeb153ffff, AX - SBBQ AX, R15 - MOVQ $0x6730d2a0f6b0f624, AX - SBBQ AX, CX - MOVQ $0x64774b84f38512bf, AX - SBBQ AX, DX - MOVQ $0x4b1ba7b6434bacd7, AX - SBBQ AX, SI - MOVQ $0x1a0111ea397fe69a, AX - SBBQ AX, BX - CMOVQCC R14, R8 - CMOVQCC R15, R9 - CMOVQCC CX, R10 - CMOVQCC DX, R11 - CMOVQCC SI, R12 - CMOVQCC BX, R13 - - // | - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET - -/* | end */ - - -// addition w/ modular reduction -// c = (a + b) % p -TEXT ·add(SB), NOSPLIT, $0-24 - // | - MOVQ a+8(FP), DI - MOVQ b+16(FP), SI - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - - // | - ADDQ (SI), R8 - ADCQ 8(SI), R9 - ADCQ 16(SI), R10 - ADCQ 24(SI), R11 - ADCQ 32(SI), R12 - ADCQ 40(SI), R13 - - // | - MOVQ R8, R14 - MOVQ R9, R15 - MOVQ R10, CX - MOVQ R11, DX - MOVQ R12, SI - MOVQ R13, BX - MOVQ $0xb9feffffffffaaab, DI - SUBQ DI, R14 - MOVQ $0x1eabfffeb153ffff, DI - SBBQ DI, R15 - MOVQ $0x6730d2a0f6b0f624, DI - SBBQ DI, CX - MOVQ $0x64774b84f38512bf, DI - SBBQ DI, DX - MOVQ $0x4b1ba7b6434bacd7, DI - SBBQ DI, SI - MOVQ $0x1a0111ea397fe69a, DI - SBBQ DI, BX - CMOVQCC R14, R8 - CMOVQCC R15, R9 - CMOVQCC CX, R10 - CMOVQCC DX, R11 - CMOVQCC SI, R12 - CMOVQCC BX, R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// addition w/o reduction check -// c = (a + b) -TEXT ·ladd(SB), NOSPLIT, $0-24 - // | - MOVQ a+8(FP), DI - MOVQ b+16(FP), SI - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - - // | - ADDQ (SI), R8 - ADCQ 8(SI), R9 - ADCQ 16(SI), R10 - ADCQ 24(SI), R11 - ADCQ 32(SI), R12 - ADCQ 40(SI), R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// addition w/o reduction check -// a = a + b -TEXT ·laddAssign(SB), NOSPLIT, $0-16 - // | - MOVQ a+0(FP), DI - MOVQ b+8(FP), SI - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - - // | - ADDQ (SI), R8 - ADCQ 8(SI), R9 - ADCQ 16(SI), R10 - ADCQ 24(SI), R11 - ADCQ 32(SI), R12 - ADCQ 40(SI), R13 - - // | - MOVQ a+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// subtraction w/ modular reduction -// c = (a - b) % p -TEXT ·sub(SB), NOSPLIT, $0-24 - // | - MOVQ a+8(FP), DI - MOVQ b+16(FP), SI - XORQ AX, AX - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - SUBQ (SI), R8 - SBBQ 8(SI), R9 - SBBQ 16(SI), R10 - SBBQ 24(SI), R11 - SBBQ 32(SI), R12 - SBBQ 40(SI), R13 - - // | - MOVQ $0xb9feffffffffaaab, R14 - MOVQ $0x1eabfffeb153ffff, R15 - MOVQ $0x6730d2a0f6b0f624, CX - MOVQ $0x64774b84f38512bf, DX - MOVQ $0x4b1ba7b6434bacd7, SI - MOVQ $0x1a0111ea397fe69a, BX - CMOVQCC AX, R14 - CMOVQCC AX, R15 - CMOVQCC AX, CX - CMOVQCC AX, DX - CMOVQCC AX, SI - CMOVQCC AX, BX - ADDQ R14, R8 - ADCQ R15, R9 - ADCQ CX, R10 - ADCQ DX, R11 - ADCQ SI, R12 - ADCQ BX, R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// subtraction w/ modular reduction -// a = (a - b) % p -TEXT ·subAssign(SB), NOSPLIT, $0-16 - // | - MOVQ a+0(FP), DI - MOVQ b+8(FP), SI - XORQ AX, AX - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - SUBQ (SI), R8 - SBBQ 8(SI), R9 - SBBQ 16(SI), R10 - SBBQ 24(SI), R11 - SBBQ 32(SI), R12 - SBBQ 40(SI), R13 - - // | - MOVQ $0xb9feffffffffaaab, R14 - MOVQ $0x1eabfffeb153ffff, R15 - MOVQ $0x6730d2a0f6b0f624, CX - MOVQ $0x64774b84f38512bf, DX - MOVQ $0x4b1ba7b6434bacd7, SI - MOVQ $0x1a0111ea397fe69a, BX - CMOVQCC AX, R14 - CMOVQCC AX, R15 - CMOVQCC AX, CX - CMOVQCC AX, DX - CMOVQCC AX, SI - CMOVQCC AX, BX - ADDQ R14, R8 - ADCQ R15, R9 - ADCQ CX, R10 - ADCQ DX, R11 - ADCQ SI, R12 - ADCQ BX, R13 - - // | - MOVQ a+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// subtraction w/o reduction check -// a = (a - b) -TEXT ·lsubAssign(SB), NOSPLIT, $0-16 - // | - MOVQ a+0(FP), DI - MOVQ b+8(FP), SI - - // | - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - SUBQ (SI), R8 - SBBQ 8(SI), R9 - SBBQ 16(SI), R10 - SBBQ 24(SI), R11 - SBBQ 32(SI), R12 - SBBQ 40(SI), R13 - - // | - MOVQ a+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - -// doubling w/ reduction -// c = (2 * a) % p -TEXT ·double(SB), NOSPLIT, $0-16 - // | - MOVQ a+8(FP), DI - - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - ADDQ R8, R8 - ADCQ R9, R9 - ADCQ R10, R10 - ADCQ R11, R11 - ADCQ R12, R12 - ADCQ R13, R13 - - // | - MOVQ R8, R14 - MOVQ R9, R15 - MOVQ R10, CX - MOVQ R11, DX - MOVQ R12, SI - MOVQ R13, BX - MOVQ $0xb9feffffffffaaab, DI - SUBQ DI, R14 - MOVQ $0x1eabfffeb153ffff, DI - SBBQ DI, R15 - MOVQ $0x6730d2a0f6b0f624, DI - SBBQ DI, CX - MOVQ $0x64774b84f38512bf, DI - SBBQ DI, DX - MOVQ $0x4b1ba7b6434bacd7, DI - SBBQ DI, SI - MOVQ $0x1a0111ea397fe69a, DI - SBBQ DI, BX - CMOVQCC R14, R8 - CMOVQCC R15, R9 - CMOVQCC CX, R10 - CMOVQCC DX, R11 - CMOVQCC SI, R12 - CMOVQCC BX, R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// doubling w/ reduction -// a = (2 * a) % p -TEXT ·doubleAssign(SB), NOSPLIT, $0-8 - // | - MOVQ a+0(FP), DI - - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - ADDQ R8, R8 - ADCQ R9, R9 - ADCQ R10, R10 - ADCQ R11, R11 - ADCQ R12, R12 - ADCQ R13, R13 - - // | - MOVQ R8, R14 - MOVQ R9, R15 - MOVQ R10, CX - MOVQ R11, DX - MOVQ R12, SI - MOVQ R13, BX - MOVQ $0xb9feffffffffaaab, AX - SUBQ AX, R14 - MOVQ $0x1eabfffeb153ffff, AX - SBBQ AX, R15 - MOVQ $0x6730d2a0f6b0f624, AX - SBBQ AX, CX - MOVQ $0x64774b84f38512bf, AX - SBBQ AX, DX - MOVQ $0x4b1ba7b6434bacd7, AX - SBBQ AX, SI - MOVQ $0x1a0111ea397fe69a, AX - SBBQ AX, BX - CMOVQCC R14, R8 - CMOVQCC R15, R9 - CMOVQCC CX, R10 - CMOVQCC DX, R11 - CMOVQCC SI, R12 - CMOVQCC BX, R13 - - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// doubling w/o reduction -// c = 2 * a -TEXT ·ldouble(SB), NOSPLIT, $0-16 - // | - MOVQ a+8(FP), DI - - MOVQ (DI), R8 - MOVQ 8(DI), R9 - MOVQ 16(DI), R10 - MOVQ 24(DI), R11 - MOVQ 32(DI), R12 - MOVQ 40(DI), R13 - - // | - ADDQ R8, R8 - ADCQ R9, R9 - ADCQ R10, R10 - ADCQ R11, R11 - ADCQ R12, R12 - ADCQ R13, R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - - RET -/* | end */ - - -TEXT ·_neg(SB), NOSPLIT, $0-16 - // | - MOVQ a+8(FP), DI - - // | - MOVQ $0xb9feffffffffaaab, R8 - MOVQ $0x1eabfffeb153ffff, R9 - MOVQ $0x6730d2a0f6b0f624, R10 - MOVQ $0x64774b84f38512bf, R11 - MOVQ $0x4b1ba7b6434bacd7, R12 - MOVQ $0x1a0111ea397fe69a, R13 - SUBQ (DI), R8 - SBBQ 8(DI), R9 - SBBQ 16(DI), R10 - SBBQ 24(DI), R11 - SBBQ 32(DI), R12 - SBBQ 40(DI), R13 - - // | - MOVQ c+0(FP), DI - MOVQ R8, (DI) - MOVQ R9, 8(DI) - MOVQ R10, 16(DI) - MOVQ R11, 24(DI) - MOVQ R12, 32(DI) - MOVQ R13, 40(DI) - RET -/* | end */ - - -// multiplication without using MULX/ADX -// c = a * b % p -TEXT ·mulNoADX(SB), NOSPLIT, $24-24 - // | - -/* inputs */ - - MOVQ a+8(FP), DI - MOVQ b+16(FP), SI - MOVQ $0x00, R9 - MOVQ $0x00, R10 - MOVQ $0x00, R11 - MOVQ $0x00, R12 - MOVQ $0x00, R13 - MOVQ $0x00, R14 - MOVQ $0x00, R15 - - // | - -/* i0 */ - - // | a0 @ CX - MOVQ (DI), CX - - // | a0 * b0 - MOVQ (SI), AX - MULQ CX - MOVQ AX, (SP) - MOVQ DX, R8 - - // | a0 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R8 - ADCQ DX, R9 - - // | a0 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R9 - ADCQ DX, R10 - - // | a0 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R10 - ADCQ DX, R11 - - // | a0 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R11 - ADCQ DX, R12 - - // | a0 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - - // | - -/* i1 */ - - // | a1 @ CX - MOVQ 8(DI), CX - MOVQ $0x00, BX - - // | a1 * b0 - MOVQ (SI), AX - MULQ CX - ADDQ AX, R8 - ADCQ DX, R9 - ADCQ $0x00, R10 - ADCQ $0x00, BX - MOVQ R8, 8(SP) - MOVQ $0x00, R8 - - // | a1 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R9 - ADCQ DX, R10 - ADCQ BX, R11 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a1 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R10 - ADCQ DX, R11 - ADCQ BX, R12 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a1 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R11 - ADCQ DX, R12 - ADCQ BX, R13 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a1 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - ADCQ BX, R14 - - // | a1 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R13 - ADCQ DX, R14 - - // | - -/* i2 */ - - // | a2 @ CX - MOVQ 16(DI), CX - MOVQ $0x00, BX - - // | a2 * b0 - MOVQ (SI), AX - MULQ CX - ADDQ AX, R9 - ADCQ DX, R10 - ADCQ $0x00, R11 - ADCQ $0x00, BX - MOVQ R9, 16(SP) - MOVQ $0x00, R9 - - // | a2 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R10 - ADCQ DX, R11 - ADCQ BX, R12 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a2 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R11 - ADCQ DX, R12 - ADCQ BX, R13 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a2 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - ADCQ BX, R14 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a2 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R13 - ADCQ DX, R14 - ADCQ BX, R15 - - // | a2 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R14 - ADCQ DX, R15 - - // | - -/* i3 */ - - // | a3 @ CX - MOVQ 24(DI), CX - MOVQ $0x00, BX - - // | a3 * b0 - MOVQ (SI), AX - MULQ CX - ADDQ AX, R10 - ADCQ DX, R11 - ADCQ $0x00, R12 - ADCQ $0x00, BX - - // | a3 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R11 - ADCQ DX, R12 - ADCQ BX, R13 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a3 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - ADCQ BX, R14 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a3 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R13 - ADCQ DX, R14 - ADCQ BX, R15 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a3 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R14 - ADCQ DX, R15 - ADCQ BX, R8 - - // | a3 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R15 - ADCQ DX, R8 - - // | - -/* i4 */ - - // | a4 @ CX - MOVQ 32(DI), CX - MOVQ $0x00, BX - - // | a4 * b0 - MOVQ (SI), AX - MULQ CX - ADDQ AX, R11 - ADCQ DX, R12 - ADCQ $0x00, R13 - ADCQ $0x00, BX - - // | a4 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - ADCQ BX, R14 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a4 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R13 - ADCQ DX, R14 - ADCQ BX, R15 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a4 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R14 - ADCQ DX, R15 - ADCQ BX, R8 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a4 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R15 - ADCQ DX, R8 - ADCQ BX, R9 - - // | a4 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R8 - ADCQ DX, R9 - - // | - -/* i5 */ - - // | a5 @ CX - MOVQ 40(DI), CX - MOVQ $0x00, BX - - // | a5 * b0 - MOVQ (SI), AX - MULQ CX - ADDQ AX, R12 - ADCQ DX, R13 - ADCQ $0x00, R14 - ADCQ $0x00, BX - - // | a5 * b1 - MOVQ 8(SI), AX - MULQ CX - ADDQ AX, R13 - ADCQ DX, R14 - ADCQ BX, R15 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a5 * b2 - MOVQ 16(SI), AX - MULQ CX - ADDQ AX, R14 - ADCQ DX, R15 - ADCQ BX, R8 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a5 * b3 - MOVQ 24(SI), AX - MULQ CX - ADDQ AX, R15 - ADCQ DX, R8 - ADCQ BX, R9 - MOVQ $0x00, BX - ADCQ $0x00, BX - - // | a5 * b4 - MOVQ 32(SI), AX - MULQ CX - ADDQ AX, R8 - ADCQ DX, R9 - ADCQ $0x00, BX - - // | a5 * b5 - MOVQ 40(SI), AX - MULQ CX - ADDQ AX, R9 - ADCQ DX, BX - - // | - -/* */ - - // | - // | W - // | 0 (SP) | 1 8(SP) | 2 16(SP) | 3 R10 | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 R9 | 11 BX - - - MOVQ (SP), CX - MOVQ 8(SP), DI - MOVQ 16(SP), SI - MOVQ BX, (SP) - MOVQ R9, 8(SP) - - // | - -/* montgomery reduction */ - - // | - -/* i0 */ - - // | - // | W - // | 0 CX | 1 DI | 2 SI | 3 R10 | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 8(SP) | 11 (SP) - - - // | | u0 = w0 * inp - MOVQ CX, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w0 @ CX - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, CX - ADCQ DX, BX - - // | j1 - - // | w1 @ DI - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, DI - ADCQ $0x00, DX - ADDQ BX, DI - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w2 @ SI - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, SI - ADCQ $0x00, DX - ADDQ BX, SI - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w3 @ R10 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R10 - ADCQ $0x00, DX - ADDQ BX, R10 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w4 @ R11 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R11 - ADCQ $0x00, DX - ADDQ BX, R11 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w5 @ R12 - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ $0x00, DX - ADDQ BX, R12 - - // | w6 @ R13 - ADCQ DX, R13 - ADCQ $0x00, CX - - // | - -/* i1 */ - - // | - // | W - // | 0 - | 1 DI | 2 SI | 3 R10 | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 8(SP) | 11 (SP) - - - // | | u1 = w1 * inp - MOVQ DI, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w1 @ DI - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, DI - ADCQ DX, BX - - // | j1 - - // | w2 @ SI - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, SI - ADCQ $0x00, DX - ADDQ BX, SI - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w3 @ R10 - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, R10 - ADCQ $0x00, DX - ADDQ BX, R10 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w4 @ R11 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R11 - ADCQ $0x00, DX - ADDQ BX, R11 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w5 @ R12 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ $0x00, DX - ADDQ BX, R12 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w6 @ R13 - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, R13 - ADCQ DX, CX - ADDQ BX, R13 - - // | w7 @ R14 - ADCQ CX, R14 - MOVQ $0x00, CX - ADCQ $0x00, CX - - // | - -/* i2 */ - - // | - // | W - // | 0 - | 1 - | 2 SI | 3 R10 | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 8(SP) | 11 (SP) - - - // | | u2 = w2 * inp - MOVQ SI, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w2 @ SI - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, SI - ADCQ DX, BX - - // | j1 - - // | w3 @ R10 - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, R10 - ADCQ $0x00, DX - ADDQ BX, R10 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w4 @ R11 - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, R11 - ADCQ $0x00, DX - ADDQ BX, R11 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w5 @ R12 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ $0x00, DX - ADDQ BX, R12 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w6 @ R13 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R13 - ADCQ $0x00, DX - ADDQ BX, R13 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w7 @ R14 - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, R14 - ADCQ DX, CX - ADDQ BX, R14 - - // | w8 @ R15 - ADCQ CX, R15 - MOVQ $0x00, CX - ADCQ $0x00, CX - - // | - -/* i3 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 R10 | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 8(SP) | 11 (SP) - - - // | | u3 = w3 * inp - MOVQ R10, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w3 @ R10 - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, R10 - ADCQ DX, BX - - // | j1 - - // | w4 @ R11 - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, R11 - ADCQ $0x00, DX - ADDQ BX, R11 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w5 @ R12 - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ $0x00, DX - ADDQ BX, R12 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w6 @ R13 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R13 - ADCQ $0x00, DX - ADDQ BX, R13 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w7 @ R14 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R14 - ADCQ $0x00, DX - ADDQ BX, R14 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w8 @ R15 - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, R15 - ADCQ DX, CX - ADDQ BX, R15 - - // | w9 @ R8 - ADCQ CX, R8 - MOVQ $0x00, CX - ADCQ $0x00, CX - - // | - -/* i4 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 - | 4 R11 | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 8(SP) | 11 (SP) - - - // | | u4 = w4 * inp - MOVQ R11, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w4 @ R11 - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, R11 - ADCQ DX, BX - - // | j1 - - // | w5 @ R12 - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ $0x00, DX - ADDQ BX, R12 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w6 @ R13 - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, R13 - ADCQ $0x00, DX - ADDQ BX, R13 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w7 @ R14 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R14 - ADCQ $0x00, DX - ADDQ BX, R14 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w8 @ R15 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R15 - ADCQ $0x00, DX - ADDQ BX, R15 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w9 @ R8 - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, R8 - ADCQ DX, CX - ADDQ BX, R8 - - // | move to idle register - MOVQ 8(SP), DI - - // | w10 @ DI - ADCQ CX, DI - MOVQ $0x00, CX - ADCQ $0x00, CX - - // | - -/* i5 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 - | 4 - | 5 R12 - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 DI | 11 (SP) - - - // | | u5 = w5 * inp - MOVQ R12, AX - MULQ ·inp+0(SB) - MOVQ AX, R9 - MOVQ $0x00, BX - - // | - -/* */ - - // | j0 - - // | w5 @ R12 - MOVQ ·modulus+0(SB), AX - MULQ R9 - ADDQ AX, R12 - ADCQ DX, BX - - // | j1 - - // | w6 @ R13 - MOVQ ·modulus+8(SB), AX - MULQ R9 - ADDQ AX, R13 - ADCQ $0x00, DX - ADDQ BX, R13 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j2 - - // | w7 @ R14 - MOVQ ·modulus+16(SB), AX - MULQ R9 - ADDQ AX, R14 - ADCQ $0x00, DX - ADDQ BX, R14 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j3 - - // | w8 @ R15 - MOVQ ·modulus+24(SB), AX - MULQ R9 - ADDQ AX, R15 - ADCQ $0x00, DX - ADDQ BX, R15 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j4 - - // | w9 @ R8 - MOVQ ·modulus+32(SB), AX - MULQ R9 - ADDQ AX, R8 - ADCQ $0x00, DX - ADDQ BX, R8 - MOVQ $0x00, BX - ADCQ DX, BX - - // | j5 - - // | w10 @ DI - MOVQ ·modulus+40(SB), AX - MULQ R9 - ADDQ AX, DI - ADCQ DX, CX - ADDQ BX, DI - - // | w11 @ CX - ADCQ (SP), CX - - // | - // | W montgomerry reduction ends - // | 0 - | 1 - | 2 - | 3 - | 4 - | 5 - - // | 6 R13 | 7 R14 | 8 R15 | 9 R8 | 10 DI | 11 CX - - - // | - - -/* modular reduction */ - - MOVQ R13, R10 - SUBQ ·modulus+0(SB), R10 - MOVQ R14, R11 - SBBQ ·modulus+8(SB), R11 - MOVQ R15, R12 - SBBQ ·modulus+16(SB), R12 - MOVQ R8, AX - SBBQ ·modulus+24(SB), AX - MOVQ DI, BX - SBBQ ·modulus+32(SB), BX - MOVQ CX, R9 - SBBQ ·modulus+40(SB), R9 - // | - -/* out */ - - MOVQ c+0(FP), SI - CMOVQCC R10, R13 - MOVQ R13, (SI) - CMOVQCC R11, R14 - MOVQ R14, 8(SI) - CMOVQCC R12, R15 - MOVQ R15, 16(SI) - CMOVQCC AX, R8 - MOVQ R8, 24(SI) - CMOVQCC BX, DI - MOVQ DI, 32(SI) - CMOVQCC R9, CX - MOVQ CX, 40(SI) - RET - - // | - -/* end */ - - -// multiplication -// c = a * b % p -TEXT ·mulADX(SB), NOSPLIT, $16-24 - // | - -/* inputs */ - - MOVQ a+8(FP), DI - MOVQ b+16(FP), SI - XORQ AX, AX - - // | - -/* i0 */ - - // | a0 @ DX - MOVQ (DI), DX - - // | a0 * b0 - MULXQ (SI), AX, CX - MOVQ AX, (SP) - - // | a0 * b1 - MULXQ 8(SI), AX, R8 - ADCXQ AX, CX - - // | a0 * b2 - MULXQ 16(SI), AX, R9 - ADCXQ AX, R8 - - // | a0 * b3 - MULXQ 24(SI), AX, R10 - ADCXQ AX, R9 - - // | a0 * b4 - MULXQ 32(SI), AX, R11 - ADCXQ AX, R10 - - // | a0 * b5 - MULXQ 40(SI), AX, R12 - ADCXQ AX, R11 - ADCQ $0x00, R12 - - // | - -/* i1 */ - - // | a1 @ DX - MOVQ 8(DI), DX - XORQ R13, R13 - - // | a1 * b0 - MULXQ (SI), AX, BX - ADOXQ AX, CX - ADCXQ BX, R8 - MOVQ CX, 8(SP) - - // | a1 * b1 - MULXQ 8(SI), AX, BX - ADOXQ AX, R8 - ADCXQ BX, R9 - - // | a1 * b2 - MULXQ 16(SI), AX, BX - ADOXQ AX, R9 - ADCXQ BX, R10 - - // | a1 * b3 - MULXQ 24(SI), AX, BX - ADOXQ AX, R10 - ADCXQ BX, R11 - - // | a1 * b4 - MULXQ 32(SI), AX, BX - ADOXQ AX, R11 - ADCXQ BX, R12 - - // | a1 * b5 - MULXQ 40(SI), AX, BX - ADOXQ AX, R12 - ADOXQ R13, R13 - ADCXQ BX, R13 - - // | - -/* i2 */ - - // | a2 @ DX - MOVQ 16(DI), DX - XORQ R14, R14 - - // | a2 * b0 - MULXQ (SI), AX, BX - ADOXQ AX, R8 - ADCXQ BX, R9 - - // | a2 * b1 - MULXQ 8(SI), AX, BX - ADOXQ AX, R9 - ADCXQ BX, R10 - - // | a2 * b2 - MULXQ 16(SI), AX, BX - ADOXQ AX, R10 - ADCXQ BX, R11 - - // | a2 * b3 - MULXQ 24(SI), AX, BX - ADOXQ AX, R11 - ADCXQ BX, R12 - - // | a2 * b4 - MULXQ 32(SI), AX, BX - ADOXQ AX, R12 - ADCXQ BX, R13 - - // | a2 * b5 - MULXQ 40(SI), AX, BX - ADOXQ AX, R13 - ADOXQ R14, R14 - ADCXQ BX, R14 - - // | - -/* i3 */ - - // | a3 @ DX - MOVQ 24(DI), DX - XORQ R15, R15 - - // | a3 * b0 - MULXQ (SI), AX, BX - ADOXQ AX, R9 - ADCXQ BX, R10 - - // | a3 * b1 - MULXQ 8(SI), AX, BX - ADOXQ AX, R10 - ADCXQ BX, R11 - - // | a3 * b2 - MULXQ 16(SI), AX, BX - ADOXQ AX, R11 - ADCXQ BX, R12 - - // | a3 * b3 - MULXQ 24(SI), AX, BX - ADOXQ AX, R12 - ADCXQ BX, R13 - - // | a3 * b4 - MULXQ 32(SI), AX, BX - ADOXQ AX, R13 - ADCXQ BX, R14 - - // | a3 * b5 - MULXQ 40(SI), AX, BX - ADOXQ AX, R14 - ADOXQ R15, R15 - ADCXQ BX, R15 - - // | - -/* i4 */ - - // | a4 @ DX - MOVQ 32(DI), DX - XORQ CX, CX - - // | a4 * b0 - MULXQ (SI), AX, BX - ADOXQ AX, R10 - ADCXQ BX, R11 - - // | a4 * b1 - MULXQ 8(SI), AX, BX - ADOXQ AX, R11 - ADCXQ BX, R12 - - // | a4 * b2 - MULXQ 16(SI), AX, BX - ADOXQ AX, R12 - ADCXQ BX, R13 - - // | a4 * b3 - MULXQ 24(SI), AX, BX - ADOXQ AX, R13 - ADCXQ BX, R14 - - // | a4 * b4 - MULXQ 32(SI), AX, BX - ADOXQ AX, R14 - ADCXQ BX, R15 - - // | a4 * b5 - MULXQ 40(SI), AX, BX - ADOXQ AX, R15 - ADOXQ CX, CX - ADCXQ BX, CX - - // | - -/* i5 */ - - // | a5 @ DX - MOVQ 40(DI), DX - XORQ DI, DI - - // | a5 * b0 - MULXQ (SI), AX, BX - ADOXQ AX, R11 - ADCXQ BX, R12 - - // | a5 * b1 - MULXQ 8(SI), AX, BX - ADOXQ AX, R12 - ADCXQ BX, R13 - - // | a5 * b2 - MULXQ 16(SI), AX, BX - ADOXQ AX, R13 - ADCXQ BX, R14 - - // | a5 * b3 - MULXQ 24(SI), AX, BX - ADOXQ AX, R14 - ADCXQ BX, R15 - - // | a5 * b4 - MULXQ 32(SI), AX, BX - ADOXQ AX, R15 - ADCXQ BX, CX - - // | a5 * b5 - MULXQ 40(SI), AX, BX - ADOXQ AX, CX - ADOXQ BX, DI - ADCQ $0x00, DI - - // | - -/* */ - - // | - // | W - // | 0 (SP) | 1 8(SP) | 2 R8 | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 DI - - - MOVQ (SP), BX - MOVQ 8(SP), SI - MOVQ DI, (SP) - - // | - // | W ready to mont - // | 0 BX | 1 SI | 2 R8 | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | - -/* montgomery reduction */ - - // | clear flags - XORQ AX, AX - - // | - -/* i0 */ - - // | - // | W - // | 0 BX | 1 SI | 2 R8 | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u0 = w0 * inp - MOVQ BX, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w0 @ BX - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, BX - ADCXQ DI, SI - - // | j1 - - // | w1 @ SI - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, SI - ADCXQ DI, R8 - - // | j2 - - // | w2 @ R8 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R8 - ADCXQ DI, R9 - - // | j3 - - // | w3 @ R9 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R9 - ADCXQ DI, R10 - - // | j4 - - // | w4 @ R10 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R10 - ADCXQ DI, R11 - - // | j5 - - // | w5 @ R11 - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - ADOXQ BX, R12 - ADCXQ BX, BX - MOVQ $0x00, AX - ADOXQ AX, BX - - // | clear flags - XORQ AX, AX - - // | - -/* i1 */ - - // | - // | W - // | 0 - | 1 SI | 2 R8 | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u1 = w1 * inp - MOVQ SI, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w1 @ SI - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, SI - ADCXQ DI, R8 - - // | j1 - - // | w2 @ R8 - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, R8 - ADCXQ DI, R9 - - // | j2 - - // | w3 @ R9 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R9 - ADCXQ DI, R10 - - // | j3 - - // | w4 @ R10 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R10 - ADCXQ DI, R11 - - // | j4 - - // | w5 @ R11 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - - // | j5 - - // | w6 @ R12 - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, R12 - ADCXQ DI, R13 - ADOXQ BX, R13 - ADCXQ SI, SI - MOVQ $0x00, AX - ADOXQ AX, SI - - // | clear flags - XORQ AX, AX - - // | - -/* i2 */ - - // | - // | W - // | 0 - | 1 - | 2 R8 | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u2 = w2 * inp - MOVQ R8, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w2 @ R8 - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, R8 - ADCXQ DI, R9 - - // | j1 - - // | w3 @ R9 - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, R9 - ADCXQ DI, R10 - - // | j2 - - // | w4 @ R10 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R10 - ADCXQ DI, R11 - - // | j3 - - // | w5 @ R11 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - - // | j4 - - // | w6 @ R12 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R12 - ADCXQ DI, R13 - - // | j5 - - // | w7 @ R13 - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, R13 - ADCXQ DI, R14 - ADOXQ SI, R14 - ADCXQ R8, R8 - MOVQ $0x00, AX - ADOXQ AX, R8 - - // | clear flags - XORQ AX, AX - - // | - -/* i3 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 R9 | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u3 = w3 * inp - MOVQ R9, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w3 @ R9 - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, R9 - ADCXQ DI, R10 - - // | j1 - - // | w4 @ R10 - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, R10 - ADCXQ DI, R11 - - // | j2 - - // | w5 @ R11 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - - // | j3 - - // | w6 @ R12 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R12 - ADCXQ DI, R13 - - // | j4 - - // | w7 @ R13 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R13 - ADCXQ DI, R14 - - // | j5 - - // | w8 @ R14 - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, R14 - ADCXQ DI, R15 - ADOXQ R8, R15 - ADCXQ R9, R9 - MOVQ $0x00, AX - ADOXQ AX, R9 - - // | clear flags - XORQ AX, AX - - // | - -/* i4 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 - | 4 R10 | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u4 = w4 * inp - MOVQ R10, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w4 @ R10 - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, R10 - ADCXQ DI, R11 - - // | j1 - - // | w5 @ R11 - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - - // | j2 - - // | w6 @ R12 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R12 - ADCXQ DI, R13 - - // | j3 - - // | w7 @ R13 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R13 - ADCXQ DI, R14 - - // | j4 - - // | w8 @ R14 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R14 - ADCXQ DI, R15 - - // | j5 - - // | w9 @ R15 - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, R15 - ADCXQ DI, CX - ADOXQ R9, CX - ADCXQ R10, R10 - MOVQ $0x00, AX - ADOXQ AX, R10 - - // | clear flags - XORQ AX, AX - - // | - -/* i5 */ - - // | - // | W - // | 0 - | 1 - | 2 - | 3 - | 4 - | 5 R11 - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 (SP) - - - // | | u5 = w5 * inp - MOVQ R11, DX - MULXQ ·inp+0(SB), DX, DI - - // | - -/* */ - - // | j0 - - // | w5 @ R11 - MULXQ ·modulus+0(SB), AX, DI - ADOXQ AX, R11 - ADCXQ DI, R12 - - // | j1 - - // | w6 @ R12 - MULXQ ·modulus+8(SB), AX, DI - ADOXQ AX, R12 - ADCXQ DI, R13 - - // | j2 - - // | w7 @ R13 - MULXQ ·modulus+16(SB), AX, DI - ADOXQ AX, R13 - ADCXQ DI, R14 - - // | j3 - - // | w8 @ R14 - MULXQ ·modulus+24(SB), AX, DI - ADOXQ AX, R14 - ADCXQ DI, R15 - - // | j4 - - // | w9 @ R15 - MULXQ ·modulus+32(SB), AX, DI - ADOXQ AX, R15 - ADCXQ DI, CX - - // | j5 - - // | w10 @ CX - MULXQ ·modulus+40(SB), AX, DI - ADOXQ AX, CX - - // | w11 @ (SP) - // | move to an idle register - MOVQ (SP), BX - ADCXQ DI, BX - ADOXQ R10, BX - - // | - // | W montgomery reduction ends - // | 0 - | 1 - | 2 - | 3 - | 4 - | 5 - - // | 6 R12 | 7 R13 | 8 R14 | 9 R15 | 10 CX | 11 BX - - - // | - -/* modular reduction */ - - MOVQ R12, AX - SUBQ ·modulus+0(SB), AX - MOVQ R13, DI - SBBQ ·modulus+8(SB), DI - MOVQ R14, SI - SBBQ ·modulus+16(SB), SI - MOVQ R15, R8 - SBBQ ·modulus+24(SB), R8 - MOVQ CX, R9 - SBBQ ·modulus+32(SB), R9 - MOVQ BX, R10 - SBBQ ·modulus+40(SB), R10 - - // | - -/* out */ - - MOVQ c+0(FP), R11 - CMOVQCC AX, R12 - MOVQ R12, (R11) - CMOVQCC DI, R13 - MOVQ R13, 8(R11) - CMOVQCC SI, R14 - MOVQ R14, 16(R11) - CMOVQCC R8, R15 - MOVQ R15, 24(R11) - CMOVQCC R9, CX - MOVQ CX, 32(R11) - CMOVQCC R10, BX - MOVQ BX, 40(R11) - RET - - // | - -/* end */ diff --git a/crypto/bls12381/arithmetic_x86_adx.go b/crypto/bls12381/arithmetic_x86_adx.go deleted file mode 100644 index a40c7384eb..0000000000 --- a/crypto/bls12381/arithmetic_x86_adx.go +++ /dev/null @@ -1,25 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -//go:build amd64 && blsadx -// +build amd64,blsadx - -package bls12381 - -// enableADX is true if the ADX/BMI2 instruction set was requested for the BLS -// implementation. The system may still fall back to plain ASM if the necessary -// instructions are unavailable on the CPU. -const enableADX = true diff --git a/crypto/bls12381/arithmetic_x86_noadx.go b/crypto/bls12381/arithmetic_x86_noadx.go deleted file mode 100644 index 679b30ec8c..0000000000 --- a/crypto/bls12381/arithmetic_x86_noadx.go +++ /dev/null @@ -1,25 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -//go:build amd64 && blsasm -// +build amd64,blsasm - -package bls12381 - -// enableADX is true if the ADX/BMI2 instruction set was requested for the BLS -// implementation. The system may still fall back to plain ASM if the necessary -// instructions are unavailable on the CPU. -const enableADX = false diff --git a/crypto/bls12381/bls12_381.go b/crypto/bls12381/bls12_381.go deleted file mode 100644 index 1c1c97765f..0000000000 --- a/crypto/bls12381/bls12_381.go +++ /dev/null @@ -1,230 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -/* - Field Constants -*/ - -// Base field modulus -// p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab - -// Size of six words -// r = 2 ^ 384 - -// modulus = p -var modulus = fe{0xb9feffffffffaaab, 0x1eabfffeb153ffff, 0x6730d2a0f6b0f624, 0x64774b84f38512bf, 0x4b1ba7b6434bacd7, 0x1a0111ea397fe69a} - -var ( - // -p^(-1) mod 2^64 - inp uint64 = 0x89f3fffcfffcfffd - // This value is used in assembly code - _ = inp -) - -// r mod p -var r1 = &fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493} - -// r^2 mod p -var r2 = &fe{ - 0xf4df1f341c341746, 0x0a76e6a609d104f1, 0x8de5476c4c95b6d5, 0x67eb88a9939d83c0, 0x9a793e85b519952d, 0x11988fe592cae3aa, -} - -// -1 + 0 * u -var negativeOne2 = &fe2{ - fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, -} - -// 2 ^ (-1) -var twoInv = &fe{0x1804000000015554, 0x855000053ab00001, 0x633cb57c253c276f, 0x6e22d1ec31ebb502, 0xd3916126f2d14ca2, 0x17fbb8571a006596} - -// (p - 3) / 4 -var pMinus3Over4 = bigFromHex("0x680447a8e5ff9a692c6e9ed90d2eb35d91dd2e13ce144afd9cc34a83dac3d8907aaffffac54ffffee7fbfffffffeaaa") - -// (p + 1) / 4 -var pPlus1Over4 = bigFromHex("0x680447a8e5ff9a692c6e9ed90d2eb35d91dd2e13ce144afd9cc34a83dac3d8907aaffffac54ffffee7fbfffffffeaab") - -// (p - 1) / 2 -var pMinus1Over2 = bigFromHex("0xd0088f51cbff34d258dd3db21a5d66bb23ba5c279c2895fb39869507b587b120f55ffff58a9ffffdcff7fffffffd555") - -// -1 -var nonResidue1 = &fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206} - -// (1 + 1 * u) -var nonResidue2 = &fe2{ - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, -} - -/* - Curve Constants -*/ - -// b coefficient for G1 -var b = &fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e} - -// b coefficient for G2 -var b2 = &fe2{ - fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e}, - fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e}, -} - -// Curve order -var q = bigFromHex("0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001") - -// Efficient cofactor of G1 -var cofactorEFFG1 = bigFromHex("0xd201000000010001") - -// Efficient cofactor of G2 -var cofactorEFFG2 = bigFromHex("0x0bc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551") - -var g1One = PointG1{ - fe{0x5cb38790fd530c16, 0x7817fc679976fff5, 0x154f95c7143ba1c1, 0xf0ae6acdf3d0e747, 0xedce6ecc21dbf440, 0x120177419e0bfb75}, - fe{0xbaac93d50ce72271, 0x8c22631a7918fd8e, 0xdd595f13570725ce, 0x51ac582950405194, 0x0e1c8c3fad0059c0, 0x0bbc3efc5008a26a}, - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, -} - -var g2One = PointG2{ - fe2{ - fe{0xf5f28fa202940a10, 0xb3f5fb2687b4961a, 0xa1a893b53e2ae580, 0x9894999d1a3caee9, 0x6f67b7631863366b, 0x058191924350bcd7}, - fe{0xa5a9c0759e23f606, 0xaaa0c59dbccd60c3, 0x3bb17e18e2867806, 0x1b1ab6cc8541b367, 0xc2b6ed0ef2158547, 0x11922a097360edf3}, - }, - fe2{ - fe{0x4c730af860494c4a, 0x597cfa1f5e369c5a, 0xe7e6856caa0a635a, 0xbbefb5e96e0d495f, 0x07d3a975f0ef25a2, 0x083fd8e7e80dae5}, - fe{0xadc0fc92df64b05d, 0x18aa270a2b1461dc, 0x86adac6a3be4eba0, 0x79495c4ec93da33a, 0xe7175850a43ccaed, 0xb2bc2a163de1bf2}, - }, - fe2{ - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, -} - -/* - Frobenious Coeffs -*/ - -var frobeniusCoeffs61 = [6]fe2{ - { - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741}, - }, - { - fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - }, - { - fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160}, - }, -} - -var frobeniusCoeffs62 = [6]fe2{ - { - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x890dc9e4867545c3, 0x2af322533285a5d5, 0x50880866309b7e2c, 0xa20d1b8c7e881024, 0x14e4f04fe2db9068, 0x14e56d3f1564853a}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0xecfb361b798dba3a, 0xc100ddb891865a2c, 0x0ec08ff1232bda8e, 0xd5c13cc6f1ca4721, 0x47222a47bf7b5c04, 0x0110f184e51c5f59}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, -} - -var frobeniusCoeffs12 = [12]fe2{ - { - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x07089552b319d465, 0xc6695f92b50a8313, 0x97e83cccd117228f, 0xa35baecab2dc29ee, 0x1ce393ea5daace4d, 0x08f2220fb0fb66eb}, - fe{0xb2f66aad4ce5d646, 0x5842a06bfc497cec, 0xcf4895d42599d394, 0xc11b9cba40a8e8d0, 0x2e3813cbe5a0de89, 0x110eefda88847faf}, - }, - { - fe{0xecfb361b798dba3a, 0xc100ddb891865a2c, 0x0ec08ff1232bda8e, 0xd5c13cc6f1ca4721, 0x47222a47bf7b5c04, 0x0110f184e51c5f59}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x3e2f585da55c9ad1, 0x4294213d86c18183, 0x382844c88b623732, 0x92ad2afd19103e18, 0x1d794e4fac7cf0b9, 0x0bd592fc7d825ec8}, - fe{0x7bcfa7a25aa30fda, 0xdc17dec12a927e7c, 0x2f088dd86b4ebef1, 0xd1ca2087da74d4a7, 0x2da2596696cebc1d, 0x0e2b7eedbbfd87d2}, - }, - { - fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x3726c30af242c66c, 0x7c2ac1aad1b6fe70, 0xa04007fbba4b14a2, 0xef517c3266341429, 0x0095ba654ed2226b, 0x02e370eccc86f7dd}, - fe{0x82d83cf50dbce43f, 0xa2813e53df9d018f, 0xc6f0caa53c65e181, 0x7525cf528d50fe95, 0x4a85ed50f4798a6b, 0x171da0fd6cf8eebd}, - }, - { - fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0xb2f66aad4ce5d646, 0x5842a06bfc497cec, 0xcf4895d42599d394, 0xc11b9cba40a8e8d0, 0x2e3813cbe5a0de89, 0x110eefda88847faf}, - fe{0x07089552b319d465, 0xc6695f92b50a8313, 0x97e83cccd117228f, 0xa35baecab2dc29ee, 0x1ce393ea5daace4d, 0x08f2220fb0fb66eb}, - }, - { - fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x7bcfa7a25aa30fda, 0xdc17dec12a927e7c, 0x2f088dd86b4ebef1, 0xd1ca2087da74d4a7, 0x2da2596696cebc1d, 0x0e2b7eedbbfd87d2}, - fe{0x3e2f585da55c9ad1, 0x4294213d86c18183, 0x382844c88b623732, 0x92ad2afd19103e18, 0x1d794e4fac7cf0b9, 0x0bd592fc7d825ec8}, - }, - { - fe{0x890dc9e4867545c3, 0x2af322533285a5d5, 0x50880866309b7e2c, 0xa20d1b8c7e881024, 0x14e4f04fe2db9068, 0x14e56d3f1564853a}, - fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000}, - }, - { - fe{0x82d83cf50dbce43f, 0xa2813e53df9d018f, 0xc6f0caa53c65e181, 0x7525cf528d50fe95, 0x4a85ed50f4798a6b, 0x171da0fd6cf8eebd}, - fe{0x3726c30af242c66c, 0x7c2ac1aad1b6fe70, 0xa04007fbba4b14a2, 0xef517c3266341429, 0x0095ba654ed2226b, 0x02e370eccc86f7dd}, - }, -} - -/* - x -*/ - -var x = bigFromHex("0xd201000000010000") diff --git a/crypto/bls12381/bls12_381_test.go b/crypto/bls12381/bls12_381_test.go deleted file mode 100644 index 6bf5834105..0000000000 --- a/crypto/bls12381/bls12_381_test.go +++ /dev/null @@ -1,13 +0,0 @@ -package bls12381 - -import ( - "crypto/rand" - "math/big" -) - -var fuz = 10 - -func randScalar(max *big.Int) *big.Int { - a, _ := rand.Int(rand.Reader, max) - return a -} diff --git a/crypto/bls12381/field_element.go b/crypto/bls12381/field_element.go deleted file mode 100644 index 9fdddc6184..0000000000 --- a/crypto/bls12381/field_element.go +++ /dev/null @@ -1,340 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "crypto/rand" - "encoding/hex" - "fmt" - "io" - "math/big" -) - -// fe is base field element representation -type fe [6]uint64 - -// fe2 is element representation of 'fp2' which is quadratic extension of base field 'fp' -// Representation follows c[0] + c[1] * u encoding order. -type fe2 [2]fe - -// fe6 is element representation of 'fp6' field which is cubic extension of 'fp2' -// Representation follows c[0] + c[1] * v + c[2] * v^2 encoding order. -type fe6 [3]fe2 - -// fe12 is element representation of 'fp12' field which is quadratic extension of 'fp6' -// Representation follows c[0] + c[1] * w encoding order. -type fe12 [2]fe6 - -func (fe *fe) setBytes(in []byte) *fe { - size := 48 - l := len(in) - if l >= size { - l = size - } - padded := make([]byte, size) - copy(padded[size-l:], in[:]) - var a int - for i := 0; i < 6; i++ { - a = size - i*8 - fe[i] = uint64(padded[a-1]) | uint64(padded[a-2])<<8 | - uint64(padded[a-3])<<16 | uint64(padded[a-4])<<24 | - uint64(padded[a-5])<<32 | uint64(padded[a-6])<<40 | - uint64(padded[a-7])<<48 | uint64(padded[a-8])<<56 - } - return fe -} - -func (fe *fe) setBig(a *big.Int) *fe { - return fe.setBytes(a.Bytes()) -} - -func (fe *fe) setString(s string) (*fe, error) { - if s[:2] == "0x" { - s = s[2:] - } - bytes, err := hex.DecodeString(s) - if err != nil { - return nil, err - } - return fe.setBytes(bytes), nil -} - -func (fe *fe) set(fe2 *fe) *fe { - fe[0] = fe2[0] - fe[1] = fe2[1] - fe[2] = fe2[2] - fe[3] = fe2[3] - fe[4] = fe2[4] - fe[5] = fe2[5] - return fe -} - -func (fe *fe) bytes() []byte { - out := make([]byte, 48) - var a int - for i := 0; i < 6; i++ { - a = 48 - i*8 - out[a-1] = byte(fe[i]) - out[a-2] = byte(fe[i] >> 8) - out[a-3] = byte(fe[i] >> 16) - out[a-4] = byte(fe[i] >> 24) - out[a-5] = byte(fe[i] >> 32) - out[a-6] = byte(fe[i] >> 40) - out[a-7] = byte(fe[i] >> 48) - out[a-8] = byte(fe[i] >> 56) - } - return out -} - -func (fe *fe) big() *big.Int { - return new(big.Int).SetBytes(fe.bytes()) -} - -func (fe *fe) string() (s string) { - for i := 5; i >= 0; i-- { - s = fmt.Sprintf("%s%16.16x", s, fe[i]) - } - return "0x" + s -} - -func (fe *fe) zero() *fe { - fe[0] = 0 - fe[1] = 0 - fe[2] = 0 - fe[3] = 0 - fe[4] = 0 - fe[5] = 0 - return fe -} - -func (fe *fe) one() *fe { - return fe.set(r1) -} - -func (fe *fe) rand(r io.Reader) (*fe, error) { - bi, err := rand.Int(r, modulus.big()) - if err != nil { - return nil, err - } - return fe.setBig(bi), nil -} - -func (fe *fe) isValid() bool { - return fe.cmp(&modulus) < 0 -} - -func (fe *fe) isOdd() bool { - var mask uint64 = 1 - return fe[0]&mask != 0 -} - -func (fe *fe) isEven() bool { - var mask uint64 = 1 - return fe[0]&mask == 0 -} - -func (fe *fe) isZero() bool { - return (fe[5] | fe[4] | fe[3] | fe[2] | fe[1] | fe[0]) == 0 -} - -func (fe *fe) isOne() bool { - return fe.equal(r1) -} - -func (fe *fe) cmp(fe2 *fe) int { - for i := 5; i >= 0; i-- { - if fe[i] > fe2[i] { - return 1 - } else if fe[i] < fe2[i] { - return -1 - } - } - return 0 -} - -func (fe *fe) equal(fe2 *fe) bool { - return fe2[0] == fe[0] && fe2[1] == fe[1] && fe2[2] == fe[2] && fe2[3] == fe[3] && fe2[4] == fe[4] && fe2[5] == fe[5] -} - -func (e *fe) sign() bool { - r := new(fe) - fromMont(r, e) - return r[0]&1 == 0 -} - -func (fe *fe) div2(e uint64) { - fe[0] = fe[0]>>1 | fe[1]<<63 - fe[1] = fe[1]>>1 | fe[2]<<63 - fe[2] = fe[2]>>1 | fe[3]<<63 - fe[3] = fe[3]>>1 | fe[4]<<63 - fe[4] = fe[4]>>1 | fe[5]<<63 - fe[5] = fe[5]>>1 | e<<63 -} - -func (fe *fe) mul2() uint64 { - e := fe[5] >> 63 - fe[5] = fe[5]<<1 | fe[4]>>63 - fe[4] = fe[4]<<1 | fe[3]>>63 - fe[3] = fe[3]<<1 | fe[2]>>63 - fe[2] = fe[2]<<1 | fe[1]>>63 - fe[1] = fe[1]<<1 | fe[0]>>63 - fe[0] = fe[0] << 1 - return e -} - -func (e *fe2) zero() *fe2 { - e[0].zero() - e[1].zero() - return e -} - -func (e *fe2) one() *fe2 { - e[0].one() - e[1].zero() - return e -} - -func (e *fe2) set(e2 *fe2) *fe2 { - e[0].set(&e2[0]) - e[1].set(&e2[1]) - return e -} - -func (e *fe2) rand(r io.Reader) (*fe2, error) { - a0, err := new(fe).rand(r) - if err != nil { - return nil, err - } - a1, err := new(fe).rand(r) - if err != nil { - return nil, err - } - return &fe2{*a0, *a1}, nil -} - -func (e *fe2) isOne() bool { - return e[0].isOne() && e[1].isZero() -} - -func (e *fe2) isZero() bool { - return e[0].isZero() && e[1].isZero() -} - -func (e *fe2) equal(e2 *fe2) bool { - return e[0].equal(&e2[0]) && e[1].equal(&e2[1]) -} - -func (e *fe2) sign() bool { - r := new(fe) - if !e[0].isZero() { - fromMont(r, &e[0]) - return r[0]&1 == 0 - } - fromMont(r, &e[1]) - return r[0]&1 == 0 -} - -func (e *fe6) zero() *fe6 { - e[0].zero() - e[1].zero() - e[2].zero() - return e -} - -func (e *fe6) one() *fe6 { - e[0].one() - e[1].zero() - e[2].zero() - return e -} - -func (e *fe6) set(e2 *fe6) *fe6 { - e[0].set(&e2[0]) - e[1].set(&e2[1]) - e[2].set(&e2[2]) - return e -} - -func (e *fe6) rand(r io.Reader) (*fe6, error) { - a0, err := new(fe2).rand(r) - if err != nil { - return nil, err - } - a1, err := new(fe2).rand(r) - if err != nil { - return nil, err - } - a2, err := new(fe2).rand(r) - if err != nil { - return nil, err - } - return &fe6{*a0, *a1, *a2}, nil -} - -func (e *fe6) isOne() bool { - return e[0].isOne() && e[1].isZero() && e[2].isZero() -} - -func (e *fe6) isZero() bool { - return e[0].isZero() && e[1].isZero() && e[2].isZero() -} - -func (e *fe6) equal(e2 *fe6) bool { - return e[0].equal(&e2[0]) && e[1].equal(&e2[1]) && e[2].equal(&e2[2]) -} - -func (e *fe12) zero() *fe12 { - e[0].zero() - e[1].zero() - return e -} - -func (e *fe12) one() *fe12 { - e[0].one() - e[1].zero() - return e -} - -func (e *fe12) set(e2 *fe12) *fe12 { - e[0].set(&e2[0]) - e[1].set(&e2[1]) - return e -} - -func (e *fe12) rand(r io.Reader) (*fe12, error) { - a0, err := new(fe6).rand(r) - if err != nil { - return nil, err - } - a1, err := new(fe6).rand(r) - if err != nil { - return nil, err - } - return &fe12{*a0, *a1}, nil -} - -func (e *fe12) isOne() bool { - return e[0].isOne() && e[1].isZero() -} - -func (e *fe12) isZero() bool { - return e[0].isZero() && e[1].isZero() -} - -func (e *fe12) equal(e2 *fe12) bool { - return e[0].equal(&e2[0]) && e[1].equal(&e2[1]) -} diff --git a/crypto/bls12381/field_element_test.go b/crypto/bls12381/field_element_test.go deleted file mode 100644 index 70bbe5cfe5..0000000000 --- a/crypto/bls12381/field_element_test.go +++ /dev/null @@ -1,250 +0,0 @@ -package bls12381 - -import ( - "bytes" - "crypto/rand" - "math/big" - "testing" -) - -func TestFieldElementValidation(t *testing.T) { - zero := new(fe).zero() - if !zero.isValid() { - t.Fatal("zero must be valid") - } - one := new(fe).one() - if !one.isValid() { - t.Fatal("one must be valid") - } - if modulus.isValid() { - t.Fatal("modulus must be invalid") - } - n := modulus.big() - n.Add(n, big.NewInt(1)) - if new(fe).setBig(n).isValid() { - t.Fatal("number greater than modulus must be invalid") - } -} - -func TestFieldElementEquality(t *testing.T) { - // fe - zero := new(fe).zero() - if !zero.equal(zero) { - t.Fatal("0 == 0") - } - one := new(fe).one() - if !one.equal(one) { - t.Fatal("1 == 1") - } - a, _ := new(fe).rand(rand.Reader) - if !a.equal(a) { - t.Fatal("a == a") - } - b := new(fe) - add(b, a, one) - if a.equal(b) { - t.Fatal("a != a + 1") - } - // fe2 - zero2 := new(fe2).zero() - if !zero2.equal(zero2) { - t.Fatal("0 == 0") - } - one2 := new(fe2).one() - if !one2.equal(one2) { - t.Fatal("1 == 1") - } - a2, _ := new(fe2).rand(rand.Reader) - if !a2.equal(a2) { - t.Fatal("a == a") - } - b2 := new(fe2) - fp2 := newFp2() - fp2.add(b2, a2, one2) - if a2.equal(b2) { - t.Fatal("a != a + 1") - } - // fe6 - zero6 := new(fe6).zero() - if !zero6.equal(zero6) { - t.Fatal("0 == 0") - } - one6 := new(fe6).one() - if !one6.equal(one6) { - t.Fatal("1 == 1") - } - a6, _ := new(fe6).rand(rand.Reader) - if !a6.equal(a6) { - t.Fatal("a == a") - } - b6 := new(fe6) - fp6 := newFp6(fp2) - fp6.add(b6, a6, one6) - if a6.equal(b6) { - t.Fatal("a != a + 1") - } - // fe12 - zero12 := new(fe12).zero() - if !zero12.equal(zero12) { - t.Fatal("0 == 0") - } - one12 := new(fe12).one() - if !one12.equal(one12) { - t.Fatal("1 == 1") - } - a12, _ := new(fe12).rand(rand.Reader) - if !a12.equal(a12) { - t.Fatal("a == a") - } - b12 := new(fe12) - fp12 := newFp12(fp6) - fp12.add(b12, a12, one12) - if a12.equal(b12) { - t.Fatal("a != a + 1") - } -} - -func TestFieldElementHelpers(t *testing.T) { - // fe - zero := new(fe).zero() - if !zero.isZero() { - t.Fatal("'zero' is not zero") - } - one := new(fe).one() - if !one.isOne() { - t.Fatal("'one' is not one") - } - odd := new(fe).setBig(big.NewInt(1)) - if !odd.isOdd() { - t.Fatal("1 must be odd") - } - if odd.isEven() { - t.Fatal("1 must not be even") - } - even := new(fe).setBig(big.NewInt(2)) - if !even.isEven() { - t.Fatal("2 must be even") - } - if even.isOdd() { - t.Fatal("2 must not be odd") - } - // fe2 - zero2 := new(fe2).zero() - if !zero2.isZero() { - t.Fatal("'zero' is not zero, 2") - } - one2 := new(fe2).one() - if !one2.isOne() { - t.Fatal("'one' is not one, 2") - } - // fe6 - zero6 := new(fe6).zero() - if !zero6.isZero() { - t.Fatal("'zero' is not zero, 6") - } - one6 := new(fe6).one() - if !one6.isOne() { - t.Fatal("'one' is not one, 6") - } - // fe12 - zero12 := new(fe12).zero() - if !zero12.isZero() { - t.Fatal("'zero' is not zero, 12") - } - one12 := new(fe12).one() - if !one12.isOne() { - t.Fatal("'one' is not one, 12") - } -} - -func TestFieldElementSerialization(t *testing.T) { - t.Run("zero", func(t *testing.T) { - in := make([]byte, 48) - fe := new(fe).setBytes(in) - if !fe.isZero() { - t.Fatal("bad serialization") - } - if !bytes.Equal(in, fe.bytes()) { - t.Fatal("bad serialization") - } - }) - t.Run("bytes", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b := new(fe).setBytes(a.bytes()) - if !a.equal(b) { - t.Fatal("bad serialization") - } - } - }) - t.Run("big", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b := new(fe).setBig(a.big()) - if !a.equal(b) { - t.Fatal("bad encoding or decoding") - } - } - }) - t.Run("string", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, err := new(fe).setString(a.string()) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad encoding or decoding") - } - } - }) -} - -func TestFieldElementByteInputs(t *testing.T) { - zero := new(fe).zero() - in := make([]byte, 0) - a := new(fe).setBytes(in) - if !a.equal(zero) { - t.Fatal("bad serialization") - } - in = make([]byte, 48) - a = new(fe).setBytes(in) - if !a.equal(zero) { - t.Fatal("bad serialization") - } - in = make([]byte, 64) - a = new(fe).setBytes(in) - if !a.equal(zero) { - t.Fatal("bad serialization") - } - in = make([]byte, 49) - in[47] = 1 - normalOne := &fe{1, 0, 0, 0, 0, 0} - a = new(fe).setBytes(in) - if !a.equal(normalOne) { - t.Fatal("bad serialization") - } -} - -func TestFieldElementCopy(t *testing.T) { - a, _ := new(fe).rand(rand.Reader) - b := new(fe).set(a) - if !a.equal(b) { - t.Fatal("bad copy, 1") - } - a2, _ := new(fe2).rand(rand.Reader) - b2 := new(fe2).set(a2) - if !a2.equal(b2) { - t.Fatal("bad copy, 2") - } - a6, _ := new(fe6).rand(rand.Reader) - b6 := new(fe6).set(a6) - if !a6.equal(b6) { - t.Fatal("bad copy, 6") - } - a12, _ := new(fe12).rand(rand.Reader) - b12 := new(fe12).set(a12) - if !a12.equal(b12) { - t.Fatal("bad copy, 12") - } -} diff --git a/crypto/bls12381/fp.go b/crypto/bls12381/fp.go deleted file mode 100644 index 09f6f49bc0..0000000000 --- a/crypto/bls12381/fp.go +++ /dev/null @@ -1,167 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" -) - -func fromBytes(in []byte) (*fe, error) { - fe := &fe{} - if len(in) != 48 { - return nil, errors.New("input string should be equal 48 bytes") - } - fe.setBytes(in) - if !fe.isValid() { - return nil, errors.New("must be less than modulus") - } - toMont(fe, fe) - return fe, nil -} - -func fromBig(in *big.Int) (*fe, error) { - fe := new(fe).setBig(in) - if !fe.isValid() { - return nil, errors.New("invalid input string") - } - toMont(fe, fe) - return fe, nil -} - -func fromString(in string) (*fe, error) { - fe, err := new(fe).setString(in) - if err != nil { - return nil, err - } - if !fe.isValid() { - return nil, errors.New("invalid input string") - } - toMont(fe, fe) - return fe, nil -} - -func toBytes(e *fe) []byte { - e2 := new(fe) - fromMont(e2, e) - return e2.bytes() -} - -func toBig(e *fe) *big.Int { - e2 := new(fe) - fromMont(e2, e) - return e2.big() -} - -func toString(e *fe) (s string) { - e2 := new(fe) - fromMont(e2, e) - return e2.string() -} - -func toMont(c, a *fe) { - mul(c, a, r2) -} - -func fromMont(c, a *fe) { - mul(c, a, &fe{1}) -} - -func exp(c, a *fe, e *big.Int) { - z := new(fe).set(r1) - for i := e.BitLen(); i >= 0; i-- { - mul(z, z, z) - if e.Bit(i) == 1 { - mul(z, z, a) - } - } - c.set(z) -} - -func inverse(inv, e *fe) { - if e.isZero() { - inv.zero() - return - } - u := new(fe).set(&modulus) - v := new(fe).set(e) - s := &fe{1} - r := &fe{0} - var k int - var z uint64 - var found = false - // Phase 1 - for i := 0; i < 768; i++ { - if v.isZero() { - found = true - break - } - if u.isEven() { - u.div2(0) - s.mul2() - } else if v.isEven() { - v.div2(0) - z += r.mul2() - } else if u.cmp(v) == 1 { - lsubAssign(u, v) - u.div2(0) - laddAssign(r, s) - s.mul2() - } else { - lsubAssign(v, u) - v.div2(0) - laddAssign(s, r) - z += r.mul2() - } - k += 1 - } - - if !found { - inv.zero() - return - } - - if k < 381 || k > 381+384 { - inv.zero() - return - } - - if r.cmp(&modulus) != -1 || z > 0 { - lsubAssign(r, &modulus) - } - u.set(&modulus) - lsubAssign(u, r) - - // Phase 2 - for i := k; i < 384*2; i++ { - double(u, u) - } - inv.set(u) -} - -func sqrt(c, a *fe) bool { - u, v := new(fe).set(a), new(fe) - exp(c, a, pPlus1Over4) - square(v, c) - return u.equal(v) -} - -func isQuadraticNonResidue(elem *fe) bool { - result := new(fe) - exp(result, elem, pMinus1Over2) - return !result.isOne() -} diff --git a/crypto/bls12381/fp12.go b/crypto/bls12381/fp12.go deleted file mode 100644 index 51e949fe5f..0000000000 --- a/crypto/bls12381/fp12.go +++ /dev/null @@ -1,277 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" -) - -type fp12 struct { - fp12temp - fp6 *fp6 -} - -type fp12temp struct { - t2 [9]*fe2 - t6 [5]*fe6 - t12 *fe12 -} - -func newFp12Temp() fp12temp { - t2 := [9]*fe2{} - t6 := [5]*fe6{} - for i := 0; i < len(t2); i++ { - t2[i] = &fe2{} - } - for i := 0; i < len(t6); i++ { - t6[i] = &fe6{} - } - return fp12temp{t2, t6, &fe12{}} -} - -func newFp12(fp6 *fp6) *fp12 { - t := newFp12Temp() - if fp6 == nil { - return &fp12{t, newFp6(nil)} - } - return &fp12{t, fp6} -} - -func (e *fp12) fp2() *fp2 { - return e.fp6.fp2 -} - -func (e *fp12) fromBytes(in []byte) (*fe12, error) { - if len(in) != 576 { - return nil, errors.New("input string should be larger than 96 bytes") - } - fp6 := e.fp6 - c1, err := fp6.fromBytes(in[:288]) - if err != nil { - return nil, err - } - c0, err := fp6.fromBytes(in[288:]) - if err != nil { - return nil, err - } - return &fe12{*c0, *c1}, nil -} - -func (e *fp12) toBytes(a *fe12) []byte { - fp6 := e.fp6 - out := make([]byte, 576) - copy(out[:288], fp6.toBytes(&a[1])) - copy(out[288:], fp6.toBytes(&a[0])) - return out -} - -func (e *fp12) new() *fe12 { - return new(fe12) -} - -func (e *fp12) zero() *fe12 { - return new(fe12) -} - -func (e *fp12) one() *fe12 { - return new(fe12).one() -} - -func (e *fp12) add(c, a, b *fe12) { - fp6 := e.fp6 - fp6.add(&c[0], &a[0], &b[0]) - fp6.add(&c[1], &a[1], &b[1]) -} - -func (e *fp12) double(c, a *fe12) { - fp6 := e.fp6 - fp6.double(&c[0], &a[0]) - fp6.double(&c[1], &a[1]) -} - -func (e *fp12) sub(c, a, b *fe12) { - fp6 := e.fp6 - fp6.sub(&c[0], &a[0], &b[0]) - fp6.sub(&c[1], &a[1], &b[1]) -} - -func (e *fp12) neg(c, a *fe12) { - fp6 := e.fp6 - fp6.neg(&c[0], &a[0]) - fp6.neg(&c[1], &a[1]) -} - -func (e *fp12) conjugate(c, a *fe12) { - fp6 := e.fp6 - c[0].set(&a[0]) - fp6.neg(&c[1], &a[1]) -} - -func (e *fp12) square(c, a *fe12) { - fp6, t := e.fp6, e.t6 - fp6.add(t[0], &a[0], &a[1]) - fp6.mul(t[2], &a[0], &a[1]) - fp6.mulByNonResidue(t[1], &a[1]) - fp6.addAssign(t[1], &a[0]) - fp6.mulByNonResidue(t[3], t[2]) - fp6.mulAssign(t[0], t[1]) - fp6.subAssign(t[0], t[2]) - fp6.sub(&c[0], t[0], t[3]) - fp6.double(&c[1], t[2]) -} - -func (e *fp12) cyclotomicSquare(c, a *fe12) { - t, fp2 := e.t2, e.fp2() - e.fp4Square(t[3], t[4], &a[0][0], &a[1][1]) - fp2.sub(t[2], t[3], &a[0][0]) - fp2.doubleAssign(t[2]) - fp2.add(&c[0][0], t[2], t[3]) - fp2.add(t[2], t[4], &a[1][1]) - fp2.doubleAssign(t[2]) - fp2.add(&c[1][1], t[2], t[4]) - e.fp4Square(t[3], t[4], &a[1][0], &a[0][2]) - e.fp4Square(t[5], t[6], &a[0][1], &a[1][2]) - fp2.sub(t[2], t[3], &a[0][1]) - fp2.doubleAssign(t[2]) - fp2.add(&c[0][1], t[2], t[3]) - fp2.add(t[2], t[4], &a[1][2]) - fp2.doubleAssign(t[2]) - fp2.add(&c[1][2], t[2], t[4]) - fp2.mulByNonResidue(t[3], t[6]) - fp2.add(t[2], t[3], &a[1][0]) - fp2.doubleAssign(t[2]) - fp2.add(&c[1][0], t[2], t[3]) - fp2.sub(t[2], t[5], &a[0][2]) - fp2.doubleAssign(t[2]) - fp2.add(&c[0][2], t[2], t[5]) -} - -func (e *fp12) mul(c, a, b *fe12) { - t, fp6 := e.t6, e.fp6 - fp6.mul(t[1], &a[0], &b[0]) - fp6.mul(t[2], &a[1], &b[1]) - fp6.add(t[0], t[1], t[2]) - fp6.mulByNonResidue(t[2], t[2]) - fp6.add(t[3], t[1], t[2]) - fp6.add(t[1], &a[0], &a[1]) - fp6.add(t[2], &b[0], &b[1]) - fp6.mulAssign(t[1], t[2]) - c[0].set(t[3]) - fp6.sub(&c[1], t[1], t[0]) -} - -func (e *fp12) mulAssign(a, b *fe12) { - t, fp6 := e.t6, e.fp6 - fp6.mul(t[1], &a[0], &b[0]) - fp6.mul(t[2], &a[1], &b[1]) - fp6.add(t[0], t[1], t[2]) - fp6.mulByNonResidue(t[2], t[2]) - fp6.add(t[3], t[1], t[2]) - fp6.add(t[1], &a[0], &a[1]) - fp6.add(t[2], &b[0], &b[1]) - fp6.mulAssign(t[1], t[2]) - a[0].set(t[3]) - fp6.sub(&a[1], t[1], t[0]) -} - -func (e *fp12) fp4Square(c0, c1, a0, a1 *fe2) { - t, fp2 := e.t2, e.fp2() - fp2.square(t[0], a0) - fp2.square(t[1], a1) - fp2.mulByNonResidue(t[2], t[1]) - fp2.add(c0, t[2], t[0]) - fp2.add(t[2], a0, a1) - fp2.squareAssign(t[2]) - fp2.subAssign(t[2], t[0]) - fp2.sub(c1, t[2], t[1]) -} - -func (e *fp12) inverse(c, a *fe12) { - fp6, t := e.fp6, e.t6 - fp6.square(t[0], &a[0]) - fp6.square(t[1], &a[1]) - fp6.mulByNonResidue(t[1], t[1]) - fp6.sub(t[1], t[0], t[1]) - fp6.inverse(t[0], t[1]) - fp6.mul(&c[0], &a[0], t[0]) - fp6.mulAssign(t[0], &a[1]) - fp6.neg(&c[1], t[0]) -} - -func (e *fp12) mulBy014Assign(a *fe12, c0, c1, c4 *fe2) { - fp2, fp6, t, t2 := e.fp2(), e.fp6, e.t6, e.t2[0] - fp6.mulBy01(t[0], &a[0], c0, c1) - fp6.mulBy1(t[1], &a[1], c4) - fp2.add(t2, c1, c4) - fp6.add(t[2], &a[1], &a[0]) - fp6.mulBy01Assign(t[2], c0, t2) - fp6.subAssign(t[2], t[0]) - fp6.sub(&a[1], t[2], t[1]) - fp6.mulByNonResidue(t[1], t[1]) - fp6.add(&a[0], t[1], t[0]) -} - -func (e *fp12) exp(c, a *fe12, s *big.Int) { - z := e.one() - for i := s.BitLen() - 1; i >= 0; i-- { - e.square(z, z) - if s.Bit(i) == 1 { - e.mul(z, z, a) - } - } - c.set(z) -} - -func (e *fp12) cyclotomicExp(c, a *fe12, s *big.Int) { - z := e.one() - for i := s.BitLen() - 1; i >= 0; i-- { - e.cyclotomicSquare(z, z) - if s.Bit(i) == 1 { - e.mul(z, z, a) - } - } - c.set(z) -} - -func (e *fp12) frobeniusMap(c, a *fe12, power uint) { - fp6 := e.fp6 - fp6.frobeniusMap(&c[0], &a[0], power) - fp6.frobeniusMap(&c[1], &a[1], power) - switch power { - case 0: - return - case 6: - fp6.neg(&c[1], &c[1]) - default: - fp6.mulByBaseField(&c[1], &c[1], &frobeniusCoeffs12[power]) - } -} - -func (e *fp12) frobeniusMapAssign(a *fe12, power uint) { - fp6 := e.fp6 - fp6.frobeniusMapAssign(&a[0], power) - fp6.frobeniusMapAssign(&a[1], power) - switch power { - case 0: - return - case 6: - fp6.neg(&a[1], &a[1]) - default: - fp6.mulByBaseField(&a[1], &a[1], &frobeniusCoeffs12[power]) - } -} diff --git a/crypto/bls12381/fp2.go b/crypto/bls12381/fp2.go deleted file mode 100644 index 0f1c5a23ac..0000000000 --- a/crypto/bls12381/fp2.go +++ /dev/null @@ -1,252 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" -) - -type fp2Temp struct { - t [4]*fe -} - -type fp2 struct { - fp2Temp -} - -func newFp2Temp() fp2Temp { - t := [4]*fe{} - for i := 0; i < len(t); i++ { - t[i] = &fe{} - } - return fp2Temp{t} -} - -func newFp2() *fp2 { - t := newFp2Temp() - return &fp2{t} -} - -func (e *fp2) fromBytes(in []byte) (*fe2, error) { - if len(in) != 96 { - return nil, errors.New("length of input string should be 96 bytes") - } - c1, err := fromBytes(in[:48]) - if err != nil { - return nil, err - } - c0, err := fromBytes(in[48:]) - if err != nil { - return nil, err - } - return &fe2{*c0, *c1}, nil -} - -func (e *fp2) toBytes(a *fe2) []byte { - out := make([]byte, 96) - copy(out[:48], toBytes(&a[1])) - copy(out[48:], toBytes(&a[0])) - return out -} - -func (e *fp2) new() *fe2 { - return new(fe2).zero() -} - -func (e *fp2) zero() *fe2 { - return new(fe2).zero() -} - -func (e *fp2) one() *fe2 { - return new(fe2).one() -} - -func (e *fp2) add(c, a, b *fe2) { - add(&c[0], &a[0], &b[0]) - add(&c[1], &a[1], &b[1]) -} - -func (e *fp2) addAssign(a, b *fe2) { - addAssign(&a[0], &b[0]) - addAssign(&a[1], &b[1]) -} - -func (e *fp2) ladd(c, a, b *fe2) { - ladd(&c[0], &a[0], &b[0]) - ladd(&c[1], &a[1], &b[1]) -} - -func (e *fp2) double(c, a *fe2) { - double(&c[0], &a[0]) - double(&c[1], &a[1]) -} - -func (e *fp2) doubleAssign(a *fe2) { - doubleAssign(&a[0]) - doubleAssign(&a[1]) -} - -func (e *fp2) ldouble(c, a *fe2) { - ldouble(&c[0], &a[0]) - ldouble(&c[1], &a[1]) -} - -func (e *fp2) sub(c, a, b *fe2) { - sub(&c[0], &a[0], &b[0]) - sub(&c[1], &a[1], &b[1]) -} - -func (e *fp2) subAssign(c, a *fe2) { - subAssign(&c[0], &a[0]) - subAssign(&c[1], &a[1]) -} - -func (e *fp2) neg(c, a *fe2) { - neg(&c[0], &a[0]) - neg(&c[1], &a[1]) -} - -func (e *fp2) mul(c, a, b *fe2) { - t := e.t - mul(t[1], &a[0], &b[0]) - mul(t[2], &a[1], &b[1]) - add(t[0], &a[0], &a[1]) - add(t[3], &b[0], &b[1]) - sub(&c[0], t[1], t[2]) - addAssign(t[1], t[2]) - mul(t[0], t[0], t[3]) - sub(&c[1], t[0], t[1]) -} - -func (e *fp2) mulAssign(a, b *fe2) { - t := e.t - mul(t[1], &a[0], &b[0]) - mul(t[2], &a[1], &b[1]) - add(t[0], &a[0], &a[1]) - add(t[3], &b[0], &b[1]) - sub(&a[0], t[1], t[2]) - addAssign(t[1], t[2]) - mul(t[0], t[0], t[3]) - sub(&a[1], t[0], t[1]) -} - -func (e *fp2) square(c, a *fe2) { - t := e.t - ladd(t[0], &a[0], &a[1]) - sub(t[1], &a[0], &a[1]) - ldouble(t[2], &a[0]) - mul(&c[0], t[0], t[1]) - mul(&c[1], t[2], &a[1]) -} - -func (e *fp2) squareAssign(a *fe2) { - t := e.t - ladd(t[0], &a[0], &a[1]) - sub(t[1], &a[0], &a[1]) - ldouble(t[2], &a[0]) - mul(&a[0], t[0], t[1]) - mul(&a[1], t[2], &a[1]) -} - -func (e *fp2) mulByNonResidue(c, a *fe2) { - t := e.t - sub(t[0], &a[0], &a[1]) - add(&c[1], &a[0], &a[1]) - c[0].set(t[0]) -} - -func (e *fp2) mulByB(c, a *fe2) { - t := e.t - double(t[0], &a[0]) - double(t[1], &a[1]) - doubleAssign(t[0]) - doubleAssign(t[1]) - sub(&c[0], t[0], t[1]) - add(&c[1], t[0], t[1]) -} - -func (e *fp2) inverse(c, a *fe2) { - t := e.t - square(t[0], &a[0]) - square(t[1], &a[1]) - addAssign(t[0], t[1]) - inverse(t[0], t[0]) - mul(&c[0], &a[0], t[0]) - mul(t[0], t[0], &a[1]) - neg(&c[1], t[0]) -} - -func (e *fp2) mulByFq(c, a *fe2, b *fe) { - mul(&c[0], &a[0], b) - mul(&c[1], &a[1], b) -} - -func (e *fp2) exp(c, a *fe2, s *big.Int) { - z := e.one() - for i := s.BitLen() - 1; i >= 0; i-- { - e.square(z, z) - if s.Bit(i) == 1 { - e.mul(z, z, a) - } - } - c.set(z) -} - -func (e *fp2) frobeniusMap(c, a *fe2, power uint) { - c[0].set(&a[0]) - if power%2 == 1 { - neg(&c[1], &a[1]) - return - } - c[1].set(&a[1]) -} - -func (e *fp2) frobeniusMapAssign(a *fe2, power uint) { - if power%2 == 1 { - neg(&a[1], &a[1]) - return - } -} - -func (e *fp2) sqrt(c, a *fe2) bool { - u, x0, a1, alpha := &fe2{}, &fe2{}, &fe2{}, &fe2{} - u.set(a) - e.exp(a1, a, pMinus3Over4) - e.square(alpha, a1) - e.mul(alpha, alpha, a) - e.mul(x0, a1, a) - if alpha.equal(negativeOne2) { - neg(&c[0], &x0[1]) - c[1].set(&x0[0]) - return true - } - e.add(alpha, alpha, e.one()) - e.exp(alpha, alpha, pMinus1Over2) - e.mul(c, alpha, x0) - e.square(alpha, c) - return alpha.equal(u) -} - -func (e *fp2) isQuadraticNonResidue(a *fe2) bool { - // https://github.com/leovt/constructible/wiki/Taking-Square-Roots-in-quadratic-extension-Fields - c0, c1 := new(fe), new(fe) - square(c0, &a[0]) - square(c1, &a[1]) - add(c1, c1, c0) - return isQuadraticNonResidue(c1) -} diff --git a/crypto/bls12381/fp6.go b/crypto/bls12381/fp6.go deleted file mode 100644 index 304173baa3..0000000000 --- a/crypto/bls12381/fp6.go +++ /dev/null @@ -1,351 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" -) - -type fp6Temp struct { - t [6]*fe2 -} - -type fp6 struct { - fp2 *fp2 - fp6Temp -} - -func newFp6Temp() fp6Temp { - t := [6]*fe2{} - for i := 0; i < len(t); i++ { - t[i] = &fe2{} - } - return fp6Temp{t} -} - -func newFp6(f *fp2) *fp6 { - t := newFp6Temp() - if f == nil { - return &fp6{newFp2(), t} - } - return &fp6{f, t} -} - -func (e *fp6) fromBytes(b []byte) (*fe6, error) { - if len(b) < 288 { - return nil, errors.New("input string should be larger than 288 bytes") - } - fp2 := e.fp2 - u2, err := fp2.fromBytes(b[:96]) - if err != nil { - return nil, err - } - u1, err := fp2.fromBytes(b[96:192]) - if err != nil { - return nil, err - } - u0, err := fp2.fromBytes(b[192:]) - if err != nil { - return nil, err - } - return &fe6{*u0, *u1, *u2}, nil -} - -func (e *fp6) toBytes(a *fe6) []byte { - fp2 := e.fp2 - out := make([]byte, 288) - copy(out[:96], fp2.toBytes(&a[2])) - copy(out[96:192], fp2.toBytes(&a[1])) - copy(out[192:], fp2.toBytes(&a[0])) - return out -} - -func (e *fp6) new() *fe6 { - return new(fe6) -} - -func (e *fp6) zero() *fe6 { - return new(fe6) -} - -func (e *fp6) one() *fe6 { - return new(fe6).one() -} - -func (e *fp6) add(c, a, b *fe6) { - fp2 := e.fp2 - fp2.add(&c[0], &a[0], &b[0]) - fp2.add(&c[1], &a[1], &b[1]) - fp2.add(&c[2], &a[2], &b[2]) -} - -func (e *fp6) addAssign(a, b *fe6) { - fp2 := e.fp2 - fp2.addAssign(&a[0], &b[0]) - fp2.addAssign(&a[1], &b[1]) - fp2.addAssign(&a[2], &b[2]) -} - -func (e *fp6) double(c, a *fe6) { - fp2 := e.fp2 - fp2.double(&c[0], &a[0]) - fp2.double(&c[1], &a[1]) - fp2.double(&c[2], &a[2]) -} - -func (e *fp6) doubleAssign(a *fe6) { - fp2 := e.fp2 - fp2.doubleAssign(&a[0]) - fp2.doubleAssign(&a[1]) - fp2.doubleAssign(&a[2]) -} - -func (e *fp6) sub(c, a, b *fe6) { - fp2 := e.fp2 - fp2.sub(&c[0], &a[0], &b[0]) - fp2.sub(&c[1], &a[1], &b[1]) - fp2.sub(&c[2], &a[2], &b[2]) -} - -func (e *fp6) subAssign(a, b *fe6) { - fp2 := e.fp2 - fp2.subAssign(&a[0], &b[0]) - fp2.subAssign(&a[1], &b[1]) - fp2.subAssign(&a[2], &b[2]) -} - -func (e *fp6) neg(c, a *fe6) { - fp2 := e.fp2 - fp2.neg(&c[0], &a[0]) - fp2.neg(&c[1], &a[1]) - fp2.neg(&c[2], &a[2]) -} - -func (e *fp6) mul(c, a, b *fe6) { - fp2, t := e.fp2, e.t - fp2.mul(t[0], &a[0], &b[0]) - fp2.mul(t[1], &a[1], &b[1]) - fp2.mul(t[2], &a[2], &b[2]) - fp2.add(t[3], &a[1], &a[2]) - fp2.add(t[4], &b[1], &b[2]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[1], t[2]) - fp2.subAssign(t[3], t[4]) - fp2.mulByNonResidue(t[3], t[3]) - fp2.add(t[5], t[0], t[3]) - fp2.add(t[3], &a[0], &a[1]) - fp2.add(t[4], &b[0], &b[1]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[0], t[1]) - fp2.subAssign(t[3], t[4]) - fp2.mulByNonResidue(t[4], t[2]) - fp2.add(&c[1], t[3], t[4]) - fp2.add(t[3], &a[0], &a[2]) - fp2.add(t[4], &b[0], &b[2]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[0], t[2]) - fp2.subAssign(t[3], t[4]) - fp2.add(&c[2], t[1], t[3]) - c[0].set(t[5]) -} - -func (e *fp6) mulAssign(a, b *fe6) { - fp2, t := e.fp2, e.t - fp2.mul(t[0], &a[0], &b[0]) - fp2.mul(t[1], &a[1], &b[1]) - fp2.mul(t[2], &a[2], &b[2]) - fp2.add(t[3], &a[1], &a[2]) - fp2.add(t[4], &b[1], &b[2]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[1], t[2]) - fp2.subAssign(t[3], t[4]) - fp2.mulByNonResidue(t[3], t[3]) - fp2.add(t[5], t[0], t[3]) - fp2.add(t[3], &a[0], &a[1]) - fp2.add(t[4], &b[0], &b[1]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[0], t[1]) - fp2.subAssign(t[3], t[4]) - fp2.mulByNonResidue(t[4], t[2]) - fp2.add(&a[1], t[3], t[4]) - fp2.add(t[3], &a[0], &a[2]) - fp2.add(t[4], &b[0], &b[2]) - fp2.mulAssign(t[3], t[4]) - fp2.add(t[4], t[0], t[2]) - fp2.subAssign(t[3], t[4]) - fp2.add(&a[2], t[1], t[3]) - a[0].set(t[5]) -} - -func (e *fp6) square(c, a *fe6) { - fp2, t := e.fp2, e.t - fp2.square(t[0], &a[0]) - fp2.mul(t[1], &a[0], &a[1]) - fp2.doubleAssign(t[1]) - fp2.sub(t[2], &a[0], &a[1]) - fp2.addAssign(t[2], &a[2]) - fp2.squareAssign(t[2]) - fp2.mul(t[3], &a[1], &a[2]) - fp2.doubleAssign(t[3]) - fp2.square(t[4], &a[2]) - fp2.mulByNonResidue(t[5], t[3]) - fp2.add(&c[0], t[0], t[5]) - fp2.mulByNonResidue(t[5], t[4]) - fp2.add(&c[1], t[1], t[5]) - fp2.addAssign(t[1], t[2]) - fp2.addAssign(t[1], t[3]) - fp2.addAssign(t[0], t[4]) - fp2.sub(&c[2], t[1], t[0]) -} - -func (e *fp6) mulBy01Assign(a *fe6, b0, b1 *fe2) { - fp2, t := e.fp2, e.t - fp2.mul(t[0], &a[0], b0) - fp2.mul(t[1], &a[1], b1) - fp2.add(t[5], &a[1], &a[2]) - fp2.mul(t[2], b1, t[5]) - fp2.subAssign(t[2], t[1]) - fp2.mulByNonResidue(t[2], t[2]) - fp2.add(t[5], &a[0], &a[2]) - fp2.mul(t[3], b0, t[5]) - fp2.subAssign(t[3], t[0]) - fp2.add(&a[2], t[3], t[1]) - fp2.add(t[4], b0, b1) - fp2.add(t[5], &a[0], &a[1]) - fp2.mulAssign(t[4], t[5]) - fp2.subAssign(t[4], t[0]) - fp2.sub(&a[1], t[4], t[1]) - fp2.add(&a[0], t[2], t[0]) -} - -func (e *fp6) mulBy01(c, a *fe6, b0, b1 *fe2) { - fp2, t := e.fp2, e.t - fp2.mul(t[0], &a[0], b0) - fp2.mul(t[1], &a[1], b1) - fp2.add(t[2], &a[1], &a[2]) - fp2.mulAssign(t[2], b1) - fp2.subAssign(t[2], t[1]) - fp2.mulByNonResidue(t[2], t[2]) - fp2.add(t[3], &a[0], &a[2]) - fp2.mulAssign(t[3], b0) - fp2.subAssign(t[3], t[0]) - fp2.add(&c[2], t[3], t[1]) - fp2.add(t[4], b0, b1) - fp2.add(t[3], &a[0], &a[1]) - fp2.mulAssign(t[4], t[3]) - fp2.subAssign(t[4], t[0]) - fp2.sub(&c[1], t[4], t[1]) - fp2.add(&c[0], t[2], t[0]) -} - -func (e *fp6) mulBy1(c, a *fe6, b1 *fe2) { - fp2, t := e.fp2, e.t - fp2.mul(t[0], &a[2], b1) - fp2.mul(&c[2], &a[1], b1) - fp2.mul(&c[1], &a[0], b1) - fp2.mulByNonResidue(&c[0], t[0]) -} - -func (e *fp6) mulByNonResidue(c, a *fe6) { - fp2, t := e.fp2, e.t - t[0].set(&a[0]) - fp2.mulByNonResidue(&c[0], &a[2]) - c[2].set(&a[1]) - c[1].set(t[0]) -} - -func (e *fp6) mulByBaseField(c, a *fe6, b *fe2) { - fp2 := e.fp2 - fp2.mul(&c[0], &a[0], b) - fp2.mul(&c[1], &a[1], b) - fp2.mul(&c[2], &a[2], b) -} - -func (e *fp6) exp(c, a *fe6, s *big.Int) { - z := e.one() - for i := s.BitLen() - 1; i >= 0; i-- { - e.square(z, z) - if s.Bit(i) == 1 { - e.mul(z, z, a) - } - } - c.set(z) -} - -func (e *fp6) inverse(c, a *fe6) { - fp2, t := e.fp2, e.t - fp2.square(t[0], &a[0]) - fp2.mul(t[1], &a[1], &a[2]) - fp2.mulByNonResidue(t[1], t[1]) - fp2.subAssign(t[0], t[1]) - fp2.square(t[1], &a[1]) - fp2.mul(t[2], &a[0], &a[2]) - fp2.subAssign(t[1], t[2]) - fp2.square(t[2], &a[2]) - fp2.mulByNonResidue(t[2], t[2]) - fp2.mul(t[3], &a[0], &a[1]) - fp2.subAssign(t[2], t[3]) - fp2.mul(t[3], &a[2], t[2]) - fp2.mul(t[4], &a[1], t[1]) - fp2.addAssign(t[3], t[4]) - fp2.mulByNonResidue(t[3], t[3]) - fp2.mul(t[4], &a[0], t[0]) - fp2.addAssign(t[3], t[4]) - fp2.inverse(t[3], t[3]) - fp2.mul(&c[0], t[0], t[3]) - fp2.mul(&c[1], t[2], t[3]) - fp2.mul(&c[2], t[1], t[3]) -} - -func (e *fp6) frobeniusMap(c, a *fe6, power uint) { - fp2 := e.fp2 - fp2.frobeniusMap(&c[0], &a[0], power) - fp2.frobeniusMap(&c[1], &a[1], power) - fp2.frobeniusMap(&c[2], &a[2], power) - switch power % 6 { - case 0: - return - case 3: - neg(&c[0][0], &a[1][1]) - c[1][1].set(&a[1][0]) - fp2.neg(&a[2], &a[2]) - default: - fp2.mul(&c[1], &c[1], &frobeniusCoeffs61[power%6]) - fp2.mul(&c[2], &c[2], &frobeniusCoeffs62[power%6]) - } -} - -func (e *fp6) frobeniusMapAssign(a *fe6, power uint) { - fp2 := e.fp2 - fp2.frobeniusMapAssign(&a[0], power) - fp2.frobeniusMapAssign(&a[1], power) - fp2.frobeniusMapAssign(&a[2], power) - t := e.t - switch power % 6 { - case 0: - return - case 3: - neg(&t[0][0], &a[1][1]) - a[1][1].set(&a[1][0]) - a[1][0].set(&t[0][0]) - fp2.neg(&a[2], &a[2]) - default: - fp2.mulAssign(&a[1], &frobeniusCoeffs61[power%6]) - fp2.mulAssign(&a[2], &frobeniusCoeffs62[power%6]) - } -} diff --git a/crypto/bls12381/fp_test.go b/crypto/bls12381/fp_test.go deleted file mode 100644 index 0bad35de16..0000000000 --- a/crypto/bls12381/fp_test.go +++ /dev/null @@ -1,1411 +0,0 @@ -package bls12381 - -import ( - "bytes" - "crypto/rand" - "math/big" - "testing" -) - -func TestFpSerialization(t *testing.T) { - t.Run("zero", func(t *testing.T) { - in := make([]byte, 48) - fe, err := fromBytes(in) - if err != nil { - t.Fatal(err) - } - if !fe.isZero() { - t.Fatal("bad serialization") - } - if !bytes.Equal(in, toBytes(fe)) { - t.Fatal("bad serialization") - } - }) - t.Run("bytes", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, err := fromBytes(toBytes(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad serialization") - } - } - }) - t.Run("string", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, err := fromString(toString(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad encoding or decoding") - } - } - }) - t.Run("big", func(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, err := fromBig(toBig(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad encoding or decoding") - } - } - }) -} - -func TestFpAdditionCrossAgainstBigInt(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - c := new(fe) - big_a := toBig(a) - big_b := toBig(b) - big_c := new(big.Int) - add(c, a, b) - out_1 := toBytes(c) - out_2 := padBytes(big_c.Add(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied A") - } - double(c, a) - out_1 = toBytes(c) - out_2 = padBytes(big_c.Add(big_a, big_a).Mod(big_c, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied B") - } - sub(c, a, b) - out_1 = toBytes(c) - out_2 = padBytes(big_c.Sub(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied C") - } - neg(c, a) - out_1 = toBytes(c) - out_2 = padBytes(big_c.Neg(big_a).Mod(big_c, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied D") - } - } -} - -func TestFpAdditionCrossAgainstBigIntAssigned(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - big_a, big_b := toBig(a), toBig(b) - addAssign(a, b) - out_1 := toBytes(a) - out_2 := padBytes(big_a.Add(big_a, big_b).Mod(big_a, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied A") - } - a, _ = new(fe).rand(rand.Reader) - big_a = toBig(a) - doubleAssign(a) - out_1 = toBytes(a) - out_2 = padBytes(big_a.Add(big_a, big_a).Mod(big_a, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied B") - } - a, _ = new(fe).rand(rand.Reader) - b, _ = new(fe).rand(rand.Reader) - big_a, big_b = toBig(a), toBig(b) - subAssign(a, b) - out_1 = toBytes(a) - out_2 = padBytes(big_a.Sub(big_a, big_b).Mod(big_a, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied A") - } - } -} - -func TestFpAdditionProperties(t *testing.T) { - for i := 0; i < fuz; i++ { - zero := new(fe).zero() - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - c_1, c_2 := new(fe), new(fe) - add(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a + 0 == a") - } - sub(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a - 0 == a") - } - double(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("2 * 0 == 0") - } - neg(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("-0 == 0") - } - sub(c_1, zero, a) - neg(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("0-a == -a") - } - double(c_1, a) - add(c_2, a, a) - if !c_1.equal(c_2) { - t.Fatal("2 * a == a + a") - } - add(c_1, a, b) - add(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - sub(c_1, a, b) - sub(c_2, b, a) - neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - c_x, _ := new(fe).rand(rand.Reader) - add(c_1, a, b) - add(c_1, c_1, c_x) - add(c_2, a, c_x) - add(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - sub(c_1, a, b) - sub(c_1, c_1, c_x) - sub(c_2, a, c_x) - sub(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a - b) - c == (a - c ) -b") - } - } -} - -func TestFpAdditionPropertiesAssigned(t *testing.T) { - for i := 0; i < fuz; i++ { - zero := new(fe).zero() - a, b := new(fe), new(fe) - _, _ = a.rand(rand.Reader) - b.set(a) - addAssign(a, zero) - if !a.equal(b) { - t.Fatal("a + 0 == a") - } - subAssign(a, zero) - if !a.equal(b) { - t.Fatal("a - 0 == a") - } - a.set(zero) - doubleAssign(a) - if !a.equal(zero) { - t.Fatal("2 * 0 == 0") - } - a.set(zero) - subAssign(a, b) - neg(b, b) - if !a.equal(b) { - t.Fatal("0-a == -a") - } - _, _ = a.rand(rand.Reader) - b.set(a) - doubleAssign(a) - addAssign(b, b) - if !a.equal(b) { - t.Fatal("2 * a == a + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1, c_2 := new(fe).set(a), new(fe).set(b) - addAssign(c_1, b) - addAssign(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1.set(a) - c_2.set(b) - subAssign(c_1, b) - subAssign(c_2, a) - neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c, _ := new(fe).rand(rand.Reader) - a0 := new(fe).set(a) - addAssign(a, b) - addAssign(a, c) - addAssign(b, c) - addAssign(b, a0) - if !a.equal(b) { - t.Fatal("(a + b) + c == (b + c) + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - _, _ = c.rand(rand.Reader) - a0.set(a) - subAssign(a, b) - subAssign(a, c) - subAssign(a0, c) - subAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a - b) - c == (a - c) -b") - } - } -} - -func TestFpLazyOperations(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - c, _ := new(fe).rand(rand.Reader) - c0 := new(fe) - c1 := new(fe) - ladd(c0, a, b) - add(c1, a, b) - mul(c0, c0, c) - mul(c1, c1, c) - if !c0.equal(c1) { - // l+ operator stands for lazy addition - t.Fatal("(a + b) * c == (a l+ b) * c") - } - _, _ = a.rand(rand.Reader) - b.set(a) - ldouble(a, a) - ladd(b, b, b) - if !a.equal(b) { - t.Fatal("2 l* a = a l+ a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - _, _ = c.rand(rand.Reader) - a0 := new(fe).set(a) - lsubAssign(a, b) - laddAssign(a, &modulus) - mul(a, a, c) - subAssign(a0, b) - mul(a0, a0, c) - if !a.equal(a0) { - t.Fatal("((a l- b) + p) * c = (a-b) * c") - } - } -} - -func TestFpMultiplicationCrossAgainstBigInt(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - c := new(fe) - big_a := toBig(a) - big_b := toBig(b) - big_c := new(big.Int) - mul(c, a, b) - out_1 := toBytes(c) - out_2 := padBytes(big_c.Mul(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48) - if !bytes.Equal(out_1, out_2) { - t.Fatal("cross test against big.Int is not satisfied") - } - } -} - -func TestFpMultiplicationProperties(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - zero, one := new(fe).zero(), new(fe).one() - c_1, c_2 := new(fe), new(fe) - mul(c_1, a, zero) - if !c_1.equal(zero) { - t.Fatal("a * 0 == 0") - } - mul(c_1, a, one) - if !c_1.equal(a) { - t.Fatal("a * 1 == a") - } - mul(c_1, a, b) - mul(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a * b == b * a") - } - c_x, _ := new(fe).rand(rand.Reader) - mul(c_1, a, b) - mul(c_1, c_1, c_x) - mul(c_2, c_x, b) - mul(c_2, c_2, a) - if !c_1.equal(c_2) { - t.Fatal("(a * b) * c == (a * c) * b") - } - square(a, zero) - if !a.equal(zero) { - t.Fatal("0^2 == 0") - } - square(a, one) - if !a.equal(one) { - t.Fatal("1^2 == 1") - } - _, _ = a.rand(rand.Reader) - square(c_1, a) - mul(c_2, a, a) - if !c_1.equal(c_1) { - t.Fatal("a^2 == a*a") - } - } -} - -func TestFpExponentiation(t *testing.T) { - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - u := new(fe) - exp(u, a, big.NewInt(0)) - if !u.isOne() { - t.Fatal("a^0 == 1") - } - exp(u, a, big.NewInt(1)) - if !u.equal(a) { - t.Fatal("a^1 == a") - } - v := new(fe) - mul(u, a, a) - mul(u, u, u) - mul(u, u, u) - exp(v, a, big.NewInt(8)) - if !u.equal(v) { - t.Fatal("((a^2)^2)^2 == a^8") - } - p := modulus.big() - exp(u, a, p) - if !u.equal(a) { - t.Fatal("a^p == a") - } - exp(u, a, p.Sub(p, big.NewInt(1))) - if !u.isOne() { - t.Fatal("a^(p-1) == 1") - } - } -} - -func TestFpInversion(t *testing.T) { - for i := 0; i < fuz; i++ { - u := new(fe) - zero, one := new(fe).zero(), new(fe).one() - inverse(u, zero) - if !u.equal(zero) { - t.Fatal("(0^-1) == 0)") - } - inverse(u, one) - if !u.equal(one) { - t.Fatal("(1^-1) == 1)") - } - a, _ := new(fe).rand(rand.Reader) - inverse(u, a) - mul(u, u, a) - if !u.equal(one) { - t.Fatal("(r*a) * r*(a^-1) == r)") - } - v := new(fe) - p := modulus.big() - exp(u, a, p.Sub(p, big.NewInt(2))) - inverse(v, a) - if !v.equal(u) { - t.Fatal("a^(p-2) == a^-1") - } - } -} - -func TestFpSquareRoot(t *testing.T) { - r := new(fe) - if sqrt(r, nonResidue1) { - t.Fatal("non residue cannot have a sqrt") - } - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - aa, rr, r := &fe{}, &fe{}, &fe{} - square(aa, a) - if !sqrt(r, aa) { - t.Fatal("bad sqrt 1") - } - square(rr, r) - if !rr.equal(aa) { - t.Fatal("bad sqrt 2") - } - } -} - -func TestFpNonResidue(t *testing.T) { - if !isQuadraticNonResidue(nonResidue1) { - t.Fatal("element is quadratic non residue, 1") - } - if isQuadraticNonResidue(new(fe).one()) { - t.Fatal("one is not quadratic non residue") - } - if !isQuadraticNonResidue(new(fe).zero()) { - t.Fatal("should accept zero as quadratic non residue") - } - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - square(a, a) - if isQuadraticNonResidue(new(fe).one()) { - t.Fatal("element is not quadratic non residue") - } - } - for i := 0; i < fuz; i++ { - a, _ := new(fe).rand(rand.Reader) - if !sqrt(new(fe), a) { - if !isQuadraticNonResidue(a) { - t.Fatal("element is quadratic non residue, 2", i) - } - } else { - i -= 1 - } - } -} - -func TestFp2Serialization(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - b, err := field.fromBytes(field.toBytes(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad serialization") - } - } -} - -func TestFp2AdditionProperties(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - zero := field.zero() - a, _ := new(fe2).rand(rand.Reader) - b, _ := new(fe2).rand(rand.Reader) - c_1 := field.new() - c_2 := field.new() - field.add(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a + 0 == a") - } - field.sub(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a - 0 == a") - } - field.double(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("2 * 0 == 0") - } - field.neg(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("-0 == 0") - } - field.sub(c_1, zero, a) - field.neg(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("0-a == -a") - } - field.double(c_1, a) - field.add(c_2, a, a) - if !c_1.equal(c_2) { - t.Fatal("2 * a == a + a") - } - field.add(c_1, a, b) - field.add(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - field.sub(c_1, a, b) - field.sub(c_2, b, a) - field.neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - c_x, _ := new(fe2).rand(rand.Reader) - field.add(c_1, a, b) - field.add(c_1, c_1, c_x) - field.add(c_2, a, c_x) - field.add(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - field.sub(c_1, a, b) - field.sub(c_1, c_1, c_x) - field.sub(c_2, a, c_x) - field.sub(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a - b) - c == (a - c ) -b") - } - } -} - -func TestFp2AdditionPropertiesAssigned(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - zero := new(fe2).zero() - a, b := new(fe2), new(fe2) - _, _ = a.rand(rand.Reader) - b.set(a) - field.addAssign(a, zero) - if !a.equal(b) { - t.Fatal("a + 0 == a") - } - field.subAssign(a, zero) - if !a.equal(b) { - t.Fatal("a - 0 == a") - } - a.set(zero) - field.doubleAssign(a) - if !a.equal(zero) { - t.Fatal("2 * 0 == 0") - } - a.set(zero) - field.subAssign(a, b) - field.neg(b, b) - if !a.equal(b) { - t.Fatal("0-a == -a") - } - _, _ = a.rand(rand.Reader) - b.set(a) - field.doubleAssign(a) - field.addAssign(b, b) - if !a.equal(b) { - t.Fatal("2 * a == a + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1, c_2 := new(fe2).set(a), new(fe2).set(b) - field.addAssign(c_1, b) - field.addAssign(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1.set(a) - c_2.set(b) - field.subAssign(c_1, b) - field.subAssign(c_2, a) - field.neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c, _ := new(fe2).rand(rand.Reader) - a0 := new(fe2).set(a) - field.addAssign(a, b) - field.addAssign(a, c) - field.addAssign(b, c) - field.addAssign(b, a0) - if !a.equal(b) { - t.Fatal("(a + b) + c == (b + c) + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - _, _ = c.rand(rand.Reader) - a0.set(a) - field.subAssign(a, b) - field.subAssign(a, c) - field.subAssign(a0, c) - field.subAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a - b) - c == (a - c) -b") - } - } -} - -func TestFp2LazyOperations(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - b, _ := new(fe2).rand(rand.Reader) - c, _ := new(fe2).rand(rand.Reader) - c0 := new(fe2) - c1 := new(fe2) - field.ladd(c0, a, b) - field.add(c1, a, b) - field.mulAssign(c0, c) - field.mulAssign(c1, c) - if !c0.equal(c1) { - // l+ operator stands for lazy addition - t.Fatal("(a + b) * c == (a l+ b) * c") - } - _, _ = a.rand(rand.Reader) - b.set(a) - field.ldouble(a, a) - field.ladd(b, b, b) - if !a.equal(b) { - t.Fatal("2 l* a = a l+ a") - } - } -} - -func TestFp2MultiplicationProperties(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - b, _ := new(fe2).rand(rand.Reader) - zero := field.zero() - one := field.one() - c_1, c_2 := field.new(), field.new() - field.mul(c_1, a, zero) - if !c_1.equal(zero) { - t.Fatal("a * 0 == 0") - } - field.mul(c_1, a, one) - if !c_1.equal(a) { - t.Fatal("a * 1 == a") - } - field.mul(c_1, a, b) - field.mul(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a * b == b * a") - } - c_x, _ := new(fe2).rand(rand.Reader) - field.mul(c_1, a, b) - field.mul(c_1, c_1, c_x) - field.mul(c_2, c_x, b) - field.mul(c_2, c_2, a) - if !c_1.equal(c_2) { - t.Fatal("(a * b) * c == (a * c) * b") - } - field.square(a, zero) - if !a.equal(zero) { - t.Fatal("0^2 == 0") - } - field.square(a, one) - if !a.equal(one) { - t.Fatal("1^2 == 1") - } - _, _ = a.rand(rand.Reader) - field.square(c_1, a) - field.mul(c_2, a, a) - if !c_2.equal(c_1) { - t.Fatal("a^2 == a*a") - } - } -} - -func TestFp2MultiplicationPropertiesAssigned(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - zero, one := new(fe2).zero(), new(fe2).one() - field.mulAssign(a, zero) - if !a.equal(zero) { - t.Fatal("a * 0 == 0") - } - _, _ = a.rand(rand.Reader) - a0 := new(fe2).set(a) - field.mulAssign(a, one) - if !a.equal(a0) { - t.Fatal("a * 1 == a") - } - _, _ = a.rand(rand.Reader) - b, _ := new(fe2).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(b, a0) - if !a.equal(b) { - t.Fatal("a * b == b * a") - } - c, _ := new(fe2).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(a, c) - field.mulAssign(a0, c) - field.mulAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a * b) * c == (a * c) * b") - } - a0.set(a) - field.squareAssign(a) - field.mulAssign(a0, a0) - if !a.equal(a0) { - t.Fatal("a^2 == a*a") - } - } -} - -func TestFp2Exponentiation(t *testing.T) { - field := newFp2() - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - u := field.new() - field.exp(u, a, big.NewInt(0)) - if !u.equal(field.one()) { - t.Fatal("a^0 == 1") - } - field.exp(u, a, big.NewInt(1)) - if !u.equal(a) { - t.Fatal("a^1 == a") - } - v := field.new() - field.mul(u, a, a) - field.mul(u, u, u) - field.mul(u, u, u) - field.exp(v, a, big.NewInt(8)) - if !u.equal(v) { - t.Fatal("((a^2)^2)^2 == a^8") - } - } -} - -func TestFp2Inversion(t *testing.T) { - field := newFp2() - u := field.new() - zero := field.zero() - one := field.one() - field.inverse(u, zero) - if !u.equal(zero) { - t.Fatal("(0 ^ -1) == 0)") - } - field.inverse(u, one) - if !u.equal(one) { - t.Fatal("(1 ^ -1) == 1)") - } - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - field.inverse(u, a) - field.mul(u, u, a) - if !u.equal(one) { - t.Fatal("(r * a) * r * (a ^ -1) == r)") - } - } -} - -func TestFp2SquareRoot(t *testing.T) { - field := newFp2() - for z := 0; z < 1000; z++ { - zi := new(fe) - sub(zi, &modulus, &fe{uint64(z * z)}) - // r = (-z*z, 0) - r := &fe2{*zi, fe{0}} - toMont(&r[0], &r[0]) - toMont(&r[1], &r[1]) - c := field.new() - // sqrt((-z*z, 0)) = (0, z) - if !field.sqrt(c, r) { - t.Fatal("z*z does have a square root") - } - e := &fe2{fe{uint64(0)}, fe{uint64(z)}} - toMont(&e[0], &e[0]) - toMont(&e[1], &e[1]) - field.square(e, e) - field.square(c, c) - if !e.equal(c) { - t.Fatal("square root failed") - } - } - if field.sqrt(field.new(), nonResidue2) { - t.Fatal("non residue cannot have a sqrt") - } - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - aa, rr, r := field.new(), field.new(), field.new() - field.square(aa, a) - if !field.sqrt(r, aa) { - t.Fatal("bad sqrt 1") - } - field.square(rr, r) - if !rr.equal(aa) { - t.Fatal("bad sqrt 2") - } - } -} - -func TestFp2NonResidue(t *testing.T) { - field := newFp2() - if !field.isQuadraticNonResidue(nonResidue2) { - t.Fatal("element is quadratic non residue, 1") - } - if field.isQuadraticNonResidue(new(fe2).one()) { - t.Fatal("one is not quadratic non residue") - } - if !field.isQuadraticNonResidue(new(fe2).zero()) { - t.Fatal("should accept zero as quadratic non residue") - } - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - field.squareAssign(a) - if field.isQuadraticNonResidue(new(fe2).one()) { - t.Fatal("element is not quadratic non residue") - } - } - for i := 0; i < fuz; i++ { - a, _ := new(fe2).rand(rand.Reader) - if !field.sqrt(new(fe2), a) { - if !field.isQuadraticNonResidue(a) { - t.Fatal("element is quadratic non residue, 2", i) - } - } else { - i -= 1 - } - } -} - -func TestFp6Serialization(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe6).rand(rand.Reader) - b, err := field.fromBytes(field.toBytes(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad serialization") - } - } -} - -func TestFp6AdditionProperties(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - zero := field.zero() - a, _ := new(fe6).rand(rand.Reader) - b, _ := new(fe6).rand(rand.Reader) - c_1 := field.new() - c_2 := field.new() - field.add(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a + 0 == a") - } - field.sub(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a - 0 == a") - } - field.double(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("2 * 0 == 0") - } - field.neg(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("-0 == 0") - } - field.sub(c_1, zero, a) - field.neg(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("0-a == -a") - } - field.double(c_1, a) - field.add(c_2, a, a) - if !c_1.equal(c_2) { - t.Fatal("2 * a == a + a") - } - field.add(c_1, a, b) - field.add(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - field.sub(c_1, a, b) - field.sub(c_2, b, a) - field.neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - c_x, _ := new(fe6).rand(rand.Reader) - field.add(c_1, a, b) - field.add(c_1, c_1, c_x) - field.add(c_2, a, c_x) - field.add(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - field.sub(c_1, a, b) - field.sub(c_1, c_1, c_x) - field.sub(c_2, a, c_x) - field.sub(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a - b) - c == (a - c ) -b") - } - } -} - -func TestFp6AdditionPropertiesAssigned(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - zero := new(fe6).zero() - a, b := new(fe6), new(fe6) - _, _ = a.rand(rand.Reader) - b.set(a) - field.addAssign(a, zero) - if !a.equal(b) { - t.Fatal("a + 0 == a") - } - field.subAssign(a, zero) - if !a.equal(b) { - t.Fatal("a - 0 == a") - } - a.set(zero) - field.doubleAssign(a) - if !a.equal(zero) { - t.Fatal("2 * 0 == 0") - } - a.set(zero) - field.subAssign(a, b) - field.neg(b, b) - if !a.equal(b) { - t.Fatal("0-a == -a") - } - _, _ = a.rand(rand.Reader) - b.set(a) - field.doubleAssign(a) - field.addAssign(b, b) - if !a.equal(b) { - t.Fatal("2 * a == a + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1, c_2 := new(fe6).set(a), new(fe6).set(b) - field.addAssign(c_1, b) - field.addAssign(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c_1.set(a) - c_2.set(b) - field.subAssign(c_1, b) - field.subAssign(c_2, a) - field.neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - c, _ := new(fe6).rand(rand.Reader) - a0 := new(fe6).set(a) - field.addAssign(a, b) - field.addAssign(a, c) - field.addAssign(b, c) - field.addAssign(b, a0) - if !a.equal(b) { - t.Fatal("(a + b) + c == (b + c) + a") - } - _, _ = a.rand(rand.Reader) - _, _ = b.rand(rand.Reader) - _, _ = c.rand(rand.Reader) - a0.set(a) - field.subAssign(a, b) - field.subAssign(a, c) - field.subAssign(a0, c) - field.subAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a - b) - c == (a - c) -b") - } - } -} - -func TestFp6SparseMultiplication(t *testing.T) { - fp6 := newFp6(nil) - var a, b, u *fe6 - for j := 0; j < fuz; j++ { - a, _ = new(fe6).rand(rand.Reader) - b, _ = new(fe6).rand(rand.Reader) - u, _ = new(fe6).rand(rand.Reader) - b[2].zero() - fp6.mul(u, a, b) - fp6.mulBy01(a, a, &b[0], &b[1]) - if !a.equal(u) { - t.Fatal("bad mul by 01") - } - } - for j := 0; j < fuz; j++ { - a, _ = new(fe6).rand(rand.Reader) - b, _ = new(fe6).rand(rand.Reader) - u, _ = new(fe6).rand(rand.Reader) - b[2].zero() - b[0].zero() - fp6.mul(u, a, b) - fp6.mulBy1(a, a, &b[1]) - if !a.equal(u) { - t.Fatal("bad mul by 1") - } - } -} - -func TestFp6MultiplicationProperties(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe6).rand(rand.Reader) - b, _ := new(fe6).rand(rand.Reader) - zero := field.zero() - one := field.one() - c_1, c_2 := field.new(), field.new() - field.mul(c_1, a, zero) - if !c_1.equal(zero) { - t.Fatal("a * 0 == 0") - } - field.mul(c_1, a, one) - if !c_1.equal(a) { - t.Fatal("a * 1 == a") - } - field.mul(c_1, a, b) - field.mul(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a * b == b * a") - } - c_x, _ := new(fe6).rand(rand.Reader) - field.mul(c_1, a, b) - field.mul(c_1, c_1, c_x) - field.mul(c_2, c_x, b) - field.mul(c_2, c_2, a) - if !c_1.equal(c_2) { - t.Fatal("(a * b) * c == (a * c) * b") - } - field.square(a, zero) - if !a.equal(zero) { - t.Fatal("0^2 == 0") - } - field.square(a, one) - if !a.equal(one) { - t.Fatal("1^2 == 1") - } - _, _ = a.rand(rand.Reader) - field.square(c_1, a) - field.mul(c_2, a, a) - if !c_2.equal(c_1) { - t.Fatal("a^2 == a*a") - } - } -} - -func TestFp6MultiplicationPropertiesAssigned(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe6).rand(rand.Reader) - zero, one := new(fe6).zero(), new(fe6).one() - field.mulAssign(a, zero) - if !a.equal(zero) { - t.Fatal("a * 0 == 0") - } - _, _ = a.rand(rand.Reader) - a0 := new(fe6).set(a) - field.mulAssign(a, one) - if !a.equal(a0) { - t.Fatal("a * 1 == a") - } - _, _ = a.rand(rand.Reader) - b, _ := new(fe6).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(b, a0) - if !a.equal(b) { - t.Fatal("a * b == b * a") - } - c, _ := new(fe6).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(a, c) - field.mulAssign(a0, c) - field.mulAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a * b) * c == (a * c) * b") - } - } -} - -func TestFp6Exponentiation(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe6).rand(rand.Reader) - u := field.new() - field.exp(u, a, big.NewInt(0)) - if !u.equal(field.one()) { - t.Fatal("a^0 == 1") - } - field.exp(u, a, big.NewInt(1)) - if !u.equal(a) { - t.Fatal("a^1 == a") - } - v := field.new() - field.mul(u, a, a) - field.mul(u, u, u) - field.mul(u, u, u) - field.exp(v, a, big.NewInt(8)) - if !u.equal(v) { - t.Fatal("((a^2)^2)^2 == a^8") - } - } -} - -func TestFp6Inversion(t *testing.T) { - field := newFp6(nil) - for i := 0; i < fuz; i++ { - u := field.new() - zero := field.zero() - one := field.one() - field.inverse(u, zero) - if !u.equal(zero) { - t.Fatal("(0^-1) == 0)") - } - field.inverse(u, one) - if !u.equal(one) { - t.Fatal("(1^-1) == 1)") - } - a, _ := new(fe6).rand(rand.Reader) - field.inverse(u, a) - field.mul(u, u, a) - if !u.equal(one) { - t.Fatal("(r*a) * r*(a^-1) == r)") - } - } -} - -func TestFp12Serialization(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe12).rand(rand.Reader) - b, err := field.fromBytes(field.toBytes(a)) - if err != nil { - t.Fatal(err) - } - if !a.equal(b) { - t.Fatal("bad serialization") - } - } -} - -func TestFp12AdditionProperties(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - zero := field.zero() - a, _ := new(fe12).rand(rand.Reader) - b, _ := new(fe12).rand(rand.Reader) - c_1 := field.new() - c_2 := field.new() - field.add(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a + 0 == a") - } - field.sub(c_1, a, zero) - if !c_1.equal(a) { - t.Fatal("a - 0 == a") - } - field.double(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("2 * 0 == 0") - } - field.neg(c_1, zero) - if !c_1.equal(zero) { - t.Fatal("-0 == 0") - } - field.sub(c_1, zero, a) - field.neg(c_2, a) - if !c_1.equal(c_2) { - t.Fatal("0-a == -a") - } - field.double(c_1, a) - field.add(c_2, a, a) - if !c_1.equal(c_2) { - t.Fatal("2 * a == a + a") - } - field.add(c_1, a, b) - field.add(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a + b = b + a") - } - field.sub(c_1, a, b) - field.sub(c_2, b, a) - field.neg(c_2, c_2) - if !c_1.equal(c_2) { - t.Fatal("a - b = - ( b - a )") - } - c_x, _ := new(fe12).rand(rand.Reader) - field.add(c_1, a, b) - field.add(c_1, c_1, c_x) - field.add(c_2, a, c_x) - field.add(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - field.sub(c_1, a, b) - field.sub(c_1, c_1, c_x) - field.sub(c_2, a, c_x) - field.sub(c_2, c_2, b) - if !c_1.equal(c_2) { - t.Fatal("(a - b) - c == (a - c ) -b") - } - } -} - -func TestFp12MultiplicationProperties(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe12).rand(rand.Reader) - b, _ := new(fe12).rand(rand.Reader) - zero := field.zero() - one := field.one() - c_1, c_2 := field.new(), field.new() - field.mul(c_1, a, zero) - if !c_1.equal(zero) { - t.Fatal("a * 0 == 0") - } - field.mul(c_1, a, one) - if !c_1.equal(a) { - t.Fatal("a * 1 == a") - } - field.mul(c_1, a, b) - field.mul(c_2, b, a) - if !c_1.equal(c_2) { - t.Fatal("a * b == b * a") - } - c_x, _ := new(fe12).rand(rand.Reader) - field.mul(c_1, a, b) - field.mul(c_1, c_1, c_x) - field.mul(c_2, c_x, b) - field.mul(c_2, c_2, a) - if !c_1.equal(c_2) { - t.Fatal("(a * b) * c == (a * c) * b") - } - field.square(a, zero) - if !a.equal(zero) { - t.Fatal("0^2 == 0") - } - field.square(a, one) - if !a.equal(one) { - t.Fatal("1^2 == 1") - } - _, _ = a.rand(rand.Reader) - field.square(c_1, a) - field.mul(c_2, a, a) - if !c_2.equal(c_1) { - t.Fatal("a^2 == a*a") - } - } -} - -func TestFp12MultiplicationPropertiesAssigned(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe12).rand(rand.Reader) - zero, one := new(fe12).zero(), new(fe12).one() - field.mulAssign(a, zero) - if !a.equal(zero) { - t.Fatal("a * 0 == 0") - } - _, _ = a.rand(rand.Reader) - a0 := new(fe12).set(a) - field.mulAssign(a, one) - if !a.equal(a0) { - t.Fatal("a * 1 == a") - } - _, _ = a.rand(rand.Reader) - b, _ := new(fe12).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(b, a0) - if !a.equal(b) { - t.Fatal("a * b == b * a") - } - c, _ := new(fe12).rand(rand.Reader) - a0.set(a) - field.mulAssign(a, b) - field.mulAssign(a, c) - field.mulAssign(a0, c) - field.mulAssign(a0, b) - if !a.equal(a0) { - t.Fatal("(a * b) * c == (a * c) * b") - } - } -} - -func TestFp12SparseMultiplication(t *testing.T) { - fp12 := newFp12(nil) - var a, b, u *fe12 - for j := 0; j < fuz; j++ { - a, _ = new(fe12).rand(rand.Reader) - b, _ = new(fe12).rand(rand.Reader) - u, _ = new(fe12).rand(rand.Reader) - b[0][2].zero() - b[1][0].zero() - b[1][2].zero() - fp12.mul(u, a, b) - fp12.mulBy014Assign(a, &b[0][0], &b[0][1], &b[1][1]) - if !a.equal(u) { - t.Fatal("bad mul by 01") - } - } -} - -func TestFp12Exponentiation(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - a, _ := new(fe12).rand(rand.Reader) - u := field.new() - field.exp(u, a, big.NewInt(0)) - if !u.equal(field.one()) { - t.Fatal("a^0 == 1") - } - field.exp(u, a, big.NewInt(1)) - if !u.equal(a) { - t.Fatal("a^1 == a") - } - v := field.new() - field.mul(u, a, a) - field.mul(u, u, u) - field.mul(u, u, u) - field.exp(v, a, big.NewInt(8)) - if !u.equal(v) { - t.Fatal("((a^2)^2)^2 == a^8") - } - } -} - -func TestFp12Inversion(t *testing.T) { - field := newFp12(nil) - for i := 0; i < fuz; i++ { - u := field.new() - zero := field.zero() - one := field.one() - field.inverse(u, zero) - if !u.equal(zero) { - t.Fatal("(0^-1) == 0)") - } - field.inverse(u, one) - if !u.equal(one) { - t.Fatal("(1^-1) == 1)") - } - a, _ := new(fe12).rand(rand.Reader) - field.inverse(u, a) - field.mul(u, u, a) - if !u.equal(one) { - t.Fatal("(r*a) * r*(a^-1) == r)") - } - } -} - -func BenchmarkMultiplication(t *testing.B) { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - c, _ := new(fe).rand(rand.Reader) - t.ResetTimer() - for i := 0; i < t.N; i++ { - mul(c, a, b) - } -} - -func BenchmarkInverse(t *testing.B) { - a, _ := new(fe).rand(rand.Reader) - b, _ := new(fe).rand(rand.Reader) - t.ResetTimer() - for i := 0; i < t.N; i++ { - inverse(a, b) - } -} - -func padBytes(in []byte, size int) []byte { - out := make([]byte, size) - if len(in) > size { - panic("bad input for padding") - } - copy(out[size-len(in):], in) - return out -} diff --git a/crypto/bls12381/g1.go b/crypto/bls12381/g1.go deleted file mode 100644 index bcb898027a..0000000000 --- a/crypto/bls12381/g1.go +++ /dev/null @@ -1,434 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math" - "math/big" -) - -// PointG1 is type for point in G1. -// PointG1 is both used for Affine and Jacobian point representation. -// If z is equal to one the point is considered as in affine form. -type PointG1 [3]fe - -func (p *PointG1) Set(p2 *PointG1) *PointG1 { - p[0].set(&p2[0]) - p[1].set(&p2[1]) - p[2].set(&p2[2]) - return p -} - -// Zero returns G1 point in point at infinity representation -func (p *PointG1) Zero() *PointG1 { - p[0].zero() - p[1].one() - p[2].zero() - return p -} - -type tempG1 struct { - t [9]*fe -} - -// G1 is struct for G1 group. -type G1 struct { - tempG1 -} - -// NewG1 constructs a new G1 instance. -func NewG1() *G1 { - t := newTempG1() - return &G1{t} -} - -func newTempG1() tempG1 { - t := [9]*fe{} - for i := 0; i < 9; i++ { - t[i] = &fe{} - } - return tempG1{t} -} - -// Q returns group order in big.Int. -func (g *G1) Q() *big.Int { - return new(big.Int).Set(q) -} - -func (g *G1) fromBytesUnchecked(in []byte) (*PointG1, error) { - p0, err := fromBytes(in[:48]) - if err != nil { - return nil, err - } - p1, err := fromBytes(in[48:]) - if err != nil { - return nil, err - } - p2 := new(fe).one() - return &PointG1{*p0, *p1, *p2}, nil -} - -// FromBytes constructs a new point given uncompressed byte input. -// FromBytes does not take zcash flags into account. -// Byte input expected to be larger than 96 bytes. -// First 96 bytes should be concatenation of x and y values. -// Point (0, 0) is considered as infinity. -func (g *G1) FromBytes(in []byte) (*PointG1, error) { - if len(in) != 96 { - return nil, errors.New("input string should be equal or larger than 96") - } - p0, err := fromBytes(in[:48]) - if err != nil { - return nil, err - } - p1, err := fromBytes(in[48:]) - if err != nil { - return nil, err - } - // check if given input points to infinity - if p0.isZero() && p1.isZero() { - return g.Zero(), nil - } - p2 := new(fe).one() - p := &PointG1{*p0, *p1, *p2} - if !g.IsOnCurve(p) { - return nil, errors.New("point is not on curve") - } - return p, nil -} - -// DecodePoint given encoded (x, y) coordinates in 128 bytes returns a valid G1 Point. -func (g *G1) DecodePoint(in []byte) (*PointG1, error) { - if len(in) != 128 { - return nil, errors.New("invalid g1 point length") - } - pointBytes := make([]byte, 96) - // decode x - xBytes, err := decodeFieldElement(in[:64]) - if err != nil { - return nil, err - } - // decode y - yBytes, err := decodeFieldElement(in[64:]) - if err != nil { - return nil, err - } - copy(pointBytes[:48], xBytes) - copy(pointBytes[48:], yBytes) - return g.FromBytes(pointBytes) -} - -// ToBytes serializes a point into bytes in uncompressed form. -// ToBytes does not take zcash flags into account. -// ToBytes returns (0, 0) if point is infinity. -func (g *G1) ToBytes(p *PointG1) []byte { - out := make([]byte, 96) - if g.IsZero(p) { - return out - } - g.Affine(p) - copy(out[:48], toBytes(&p[0])) - copy(out[48:], toBytes(&p[1])) - return out -} - -// EncodePoint encodes a point into 128 bytes. -func (g *G1) EncodePoint(p *PointG1) []byte { - outRaw := g.ToBytes(p) - out := make([]byte, 128) - // encode x - copy(out[16:], outRaw[:48]) - // encode y - copy(out[64+16:], outRaw[48:]) - return out -} - -// New creates a new G1 Point which is equal to zero in other words point at infinity. -func (g *G1) New() *PointG1 { - return g.Zero() -} - -// Zero returns a new G1 Point which is equal to point at infinity. -func (g *G1) Zero() *PointG1 { - return new(PointG1).Zero() -} - -// One returns a new G1 Point which is equal to generator point. -func (g *G1) One() *PointG1 { - p := &PointG1{} - return p.Set(&g1One) -} - -// IsZero returns true if given point is equal to zero. -func (g *G1) IsZero(p *PointG1) bool { - return p[2].isZero() -} - -// Equal checks if given two G1 point is equal in their affine form. -func (g *G1) Equal(p1, p2 *PointG1) bool { - if g.IsZero(p1) { - return g.IsZero(p2) - } - if g.IsZero(p2) { - return g.IsZero(p1) - } - t := g.t - square(t[0], &p1[2]) - square(t[1], &p2[2]) - mul(t[2], t[0], &p2[0]) - mul(t[3], t[1], &p1[0]) - mul(t[0], t[0], &p1[2]) - mul(t[1], t[1], &p2[2]) - mul(t[1], t[1], &p1[1]) - mul(t[0], t[0], &p2[1]) - return t[0].equal(t[1]) && t[2].equal(t[3]) -} - -// InCorrectSubgroup checks whether given point is in correct subgroup. -func (g *G1) InCorrectSubgroup(p *PointG1) bool { - tmp := &PointG1{} - g.MulScalar(tmp, p, q) - return g.IsZero(tmp) -} - -// IsOnCurve checks a G1 point is on curve. -func (g *G1) IsOnCurve(p *PointG1) bool { - if g.IsZero(p) { - return true - } - t := g.t - square(t[0], &p[1]) - square(t[1], &p[0]) - mul(t[1], t[1], &p[0]) - square(t[2], &p[2]) - square(t[3], t[2]) - mul(t[2], t[2], t[3]) - mul(t[2], b, t[2]) - add(t[1], t[1], t[2]) - return t[0].equal(t[1]) -} - -// IsAffine checks a G1 point whether it is in affine form. -func (g *G1) IsAffine(p *PointG1) bool { - return p[2].isOne() -} - -// Affine calculates affine form of given G1 point. -func (g *G1) Affine(p *PointG1) *PointG1 { - if g.IsZero(p) { - return p - } - if !g.IsAffine(p) { - t := g.t - inverse(t[0], &p[2]) - square(t[1], t[0]) - mul(&p[0], &p[0], t[1]) - mul(t[0], t[0], t[1]) - mul(&p[1], &p[1], t[0]) - p[2].one() - } - return p -} - -// Add adds two G1 points p1, p2 and assigns the result to point at first argument. -func (g *G1) Add(r, p1, p2 *PointG1) *PointG1 { - // www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl - if g.IsZero(p1) { - return r.Set(p2) - } - if g.IsZero(p2) { - return r.Set(p1) - } - t := g.t - square(t[7], &p1[2]) - mul(t[1], &p2[0], t[7]) - mul(t[2], &p1[2], t[7]) - mul(t[0], &p2[1], t[2]) - square(t[8], &p2[2]) - mul(t[3], &p1[0], t[8]) - mul(t[4], &p2[2], t[8]) - mul(t[2], &p1[1], t[4]) - if t[1].equal(t[3]) { - if t[0].equal(t[2]) { - return g.Double(r, p1) - } - return r.Zero() - } - sub(t[1], t[1], t[3]) - double(t[4], t[1]) - square(t[4], t[4]) - mul(t[5], t[1], t[4]) - sub(t[0], t[0], t[2]) - double(t[0], t[0]) - square(t[6], t[0]) - sub(t[6], t[6], t[5]) - mul(t[3], t[3], t[4]) - double(t[4], t[3]) - sub(&r[0], t[6], t[4]) - sub(t[4], t[3], &r[0]) - mul(t[6], t[2], t[5]) - double(t[6], t[6]) - mul(t[0], t[0], t[4]) - sub(&r[1], t[0], t[6]) - add(t[0], &p1[2], &p2[2]) - square(t[0], t[0]) - sub(t[0], t[0], t[7]) - sub(t[0], t[0], t[8]) - mul(&r[2], t[0], t[1]) - return r -} - -// Double doubles a G1 point p and assigns the result to the point at first argument. -func (g *G1) Double(r, p *PointG1) *PointG1 { - // http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l - if g.IsZero(p) { - return r.Set(p) - } - t := g.t - square(t[0], &p[0]) - square(t[1], &p[1]) - square(t[2], t[1]) - add(t[1], &p[0], t[1]) - square(t[1], t[1]) - sub(t[1], t[1], t[0]) - sub(t[1], t[1], t[2]) - double(t[1], t[1]) - double(t[3], t[0]) - add(t[0], t[3], t[0]) - square(t[4], t[0]) - double(t[3], t[1]) - sub(&r[0], t[4], t[3]) - sub(t[1], t[1], &r[0]) - double(t[2], t[2]) - double(t[2], t[2]) - double(t[2], t[2]) - mul(t[0], t[0], t[1]) - sub(t[1], t[0], t[2]) - mul(t[0], &p[1], &p[2]) - r[1].set(t[1]) - double(&r[2], t[0]) - return r -} - -// Neg negates a G1 point p and assigns the result to the point at first argument. -func (g *G1) Neg(r, p *PointG1) *PointG1 { - r[0].set(&p[0]) - r[2].set(&p[2]) - neg(&r[1], &p[1]) - return r -} - -// Sub subtracts two G1 points p1, p2 and assigns the result to point at first argument. -func (g *G1) Sub(c, a, b *PointG1) *PointG1 { - d := &PointG1{} - g.Neg(d, b) - g.Add(c, a, d) - return c -} - -// MulScalar multiplies a point by given scalar value in big.Int and assigns the result to point at first argument. -func (g *G1) MulScalar(c, p *PointG1, e *big.Int) *PointG1 { - q, n := &PointG1{}, &PointG1{} - n.Set(p) - l := e.BitLen() - for i := 0; i < l; i++ { - if e.Bit(i) == 1 { - g.Add(q, q, n) - } - g.Double(n, n) - } - return c.Set(q) -} - -// ClearCofactor maps given a G1 point to correct subgroup -func (g *G1) ClearCofactor(p *PointG1) { - g.MulScalar(p, p, cofactorEFFG1) -} - -// MultiExp calculates multi exponentiation. Given pairs of G1 point and scalar values -// (P_0, e_0), (P_1, e_1), ... (P_n, e_n) calculates r = e_0 * P_0 + e_1 * P_1 + ... + e_n * P_n -// Length of points and scalars are expected to be equal, otherwise an error is returned. -// Result is assigned to point at first argument. -func (g *G1) MultiExp(r *PointG1, points []*PointG1, powers []*big.Int) (*PointG1, error) { - if len(points) != len(powers) { - return nil, errors.New("point and scalar vectors should be in same length") - } - var c uint32 = 3 - if len(powers) >= 32 { - c = uint32(math.Ceil(math.Log10(float64(len(powers))))) - } - bucketSize, numBits := (1<= 0; i-- { - g.Add(sum, sum, bucket[i]) - g.Add(acc, acc, sum) - } - windows[j] = g.New() - windows[j].Set(acc) - j++ - cur += c - } - acc.Zero() - for i := len(windows) - 1; i >= 0; i-- { - for j := uint32(0); j < c; j++ { - g.Double(acc, acc) - } - g.Add(acc, acc, windows[i]) - } - return r.Set(acc), nil -} - -// MapToCurve given a byte slice returns a valid G1 point. -// This mapping function implements the Simplified Shallue-van de Woestijne-Ulas method. -// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06 -// Input byte slice should be a valid field element, otherwise an error is returned. -func (g *G1) MapToCurve(in []byte) (*PointG1, error) { - u, err := fromBytes(in) - if err != nil { - return nil, err - } - x, y := swuMapG1(u) - isogenyMapG1(x, y) - one := new(fe).one() - p := &PointG1{*x, *y, *one} - g.ClearCofactor(p) - return g.Affine(p), nil -} diff --git a/crypto/bls12381/g1_test.go b/crypto/bls12381/g1_test.go deleted file mode 100644 index 87140459fb..0000000000 --- a/crypto/bls12381/g1_test.go +++ /dev/null @@ -1,284 +0,0 @@ -package bls12381 - -import ( - "bytes" - "crypto/rand" - "math/big" - "testing" - - "github.com/ethereum/go-ethereum/common" -) - -func (g *G1) one() *PointG1 { - one, _ := g.fromBytesUnchecked( - common.FromHex("" + - "17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb" + - "08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1", - ), - ) - return one -} - -func (g *G1) rand() *PointG1 { - k, err := rand.Int(rand.Reader, q) - if err != nil { - panic(err) - } - return g.MulScalar(&PointG1{}, g.one(), k) -} - -func TestG1Serialization(t *testing.T) { - g1 := NewG1() - for i := 0; i < fuz; i++ { - a := g1.rand() - buf := g1.ToBytes(a) - b, err := g1.FromBytes(buf) - if err != nil { - t.Fatal(err) - } - if !g1.Equal(a, b) { - t.Fatal("bad serialization from/to") - } - } - for i := 0; i < fuz; i++ { - a := g1.rand() - encoded := g1.EncodePoint(a) - b, err := g1.DecodePoint(encoded) - if err != nil { - t.Fatal(err) - } - if !g1.Equal(a, b) { - t.Fatal("bad serialization encode/decode") - } - } -} - -func TestG1IsOnCurve(t *testing.T) { - g := NewG1() - zero := g.Zero() - if !g.IsOnCurve(zero) { - t.Fatal("zero must be on curve") - } - one := new(fe).one() - p := &PointG1{*one, *one, *one} - if g.IsOnCurve(p) { - t.Fatal("(1, 1) is not on curve") - } -} - -func TestG1AdditiveProperties(t *testing.T) { - g := NewG1() - t0, t1 := g.New(), g.New() - zero := g.Zero() - for i := 0; i < fuz; i++ { - a, b := g.rand(), g.rand() - g.Add(t0, a, zero) - if !g.Equal(t0, a) { - t.Fatal("a + 0 == a") - } - g.Add(t0, zero, zero) - if !g.Equal(t0, zero) { - t.Fatal("0 + 0 == 0") - } - g.Sub(t0, a, zero) - if !g.Equal(t0, a) { - t.Fatal("a - 0 == a") - } - g.Sub(t0, zero, zero) - if !g.Equal(t0, zero) { - t.Fatal("0 - 0 == 0") - } - g.Neg(t0, zero) - if !g.Equal(t0, zero) { - t.Fatal("- 0 == 0") - } - g.Sub(t0, zero, a) - g.Neg(t0, t0) - if !g.Equal(t0, a) { - t.Fatal(" - (0 - a) == a") - } - g.Double(t0, zero) - if !g.Equal(t0, zero) { - t.Fatal("2 * 0 == 0") - } - g.Double(t0, a) - g.Sub(t0, t0, a) - if !g.Equal(t0, a) || !g.IsOnCurve(t0) { - t.Fatal(" (2 * a) - a == a") - } - g.Add(t0, a, b) - g.Add(t1, b, a) - if !g.Equal(t0, t1) { - t.Fatal("a + b == b + a") - } - g.Sub(t0, a, b) - g.Sub(t1, b, a) - g.Neg(t1, t1) - if !g.Equal(t0, t1) { - t.Fatal("a - b == - ( b - a )") - } - c := g.rand() - g.Add(t0, a, b) - g.Add(t0, t0, c) - g.Add(t1, a, c) - g.Add(t1, t1, b) - if !g.Equal(t0, t1) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - g.Sub(t0, a, b) - g.Sub(t0, t0, c) - g.Sub(t1, a, c) - g.Sub(t1, t1, b) - if !g.Equal(t0, t1) { - t.Fatal("(a - b) - c == (a - c) -b") - } - } -} - -func TestG1MultiplicativeProperties(t *testing.T) { - g := NewG1() - t0, t1 := g.New(), g.New() - zero := g.Zero() - for i := 0; i < fuz; i++ { - a := g.rand() - s1, s2, s3 := randScalar(q), randScalar(q), randScalar(q) - sone := big.NewInt(1) - g.MulScalar(t0, zero, s1) - if !g.Equal(t0, zero) { - t.Fatal(" 0 ^ s == 0") - } - g.MulScalar(t0, a, sone) - if !g.Equal(t0, a) { - t.Fatal(" a ^ 1 == a") - } - g.MulScalar(t0, zero, s1) - if !g.Equal(t0, zero) { - t.Fatal(" 0 ^ s == a") - } - g.MulScalar(t0, a, s1) - g.MulScalar(t0, t0, s2) - s3.Mul(s1, s2) - g.MulScalar(t1, a, s3) - if !g.Equal(t0, t1) { - t.Errorf(" (a ^ s1) ^ s2 == a ^ (s1 * s2)") - } - g.MulScalar(t0, a, s1) - g.MulScalar(t1, a, s2) - g.Add(t0, t0, t1) - s3.Add(s1, s2) - g.MulScalar(t1, a, s3) - if !g.Equal(t0, t1) { - t.Errorf(" (a ^ s1) + (a ^ s2) == a ^ (s1 + s2)") - } - } -} - -func TestG1MultiExpExpected(t *testing.T) { - g := NewG1() - one := g.one() - var scalars [2]*big.Int - var bases [2]*PointG1 - scalars[0] = big.NewInt(2) - scalars[1] = big.NewInt(3) - bases[0], bases[1] = new(PointG1).Set(one), new(PointG1).Set(one) - expected, result := g.New(), g.New() - g.MulScalar(expected, one, big.NewInt(5)) - _, _ = g.MultiExp(result, bases[:], scalars[:]) - if !g.Equal(expected, result) { - t.Fatal("bad multi-exponentiation") - } -} - -func TestG1MultiExpBatch(t *testing.T) { - g := NewG1() - one := g.one() - n := 1000 - bases := make([]*PointG1, n) - scalars := make([]*big.Int, n) - // scalars: [s0,s1 ... s(n-1)] - // bases: [P0,P1,..P(n-1)] = [s(n-1)*G, s(n-2)*G ... s0*G] - for i, j := 0, n-1; i < n; i, j = i+1, j-1 { - scalars[j], _ = rand.Int(rand.Reader, big.NewInt(100000)) - bases[i] = g.New() - g.MulScalar(bases[i], one, scalars[j]) - } - // expected: s(n-1)*P0 + s(n-2)*P1 + s0*P(n-1) - expected, tmp := g.New(), g.New() - for i := 0; i < n; i++ { - g.MulScalar(tmp, bases[i], scalars[i]) - g.Add(expected, expected, tmp) - } - result := g.New() - _, _ = g.MultiExp(result, bases, scalars) - if !g.Equal(expected, result) { - t.Fatal("bad multi-exponentiation") - } -} - -func TestG1MapToCurve(t *testing.T) { - for i, v := range []struct { - u []byte - expected []byte - }{ - { - u: make([]byte, 48), - expected: common.FromHex("11a9a0372b8f332d5c30de9ad14e50372a73fa4c45d5f2fa5097f2d6fb93bcac592f2e1711ac43db0519870c7d0ea415" + "092c0f994164a0719f51c24ba3788de240ff926b55f58c445116e8bc6a47cd63392fd4e8e22bdf9feaa96ee773222133"), - }, - { - u: common.FromHex("07fdf49ea58e96015d61f6b5c9d1c8f277146a533ae7fbca2a8ef4c41055cd961fbc6e26979b5554e4b4f22330c0e16d"), - expected: common.FromHex("1223effdbb2d38152495a864d78eee14cb0992d89a241707abb03819a91a6d2fd65854ab9a69e9aacb0cbebfd490732c" + "0f925d61e0b235ecd945cbf0309291878df0d06e5d80d6b84aa4ff3e00633b26f9a7cb3523ef737d90e6d71e8b98b2d5"), - }, - { - u: common.FromHex("1275ab3adbf824a169ed4b1fd669b49cf406d822f7fe90d6b2f8c601b5348436f89761bb1ad89a6fb1137cd91810e5d2"), - expected: common.FromHex("179d3fd0b4fb1da43aad06cea1fb3f828806ddb1b1fa9424b1e3944dfdbab6e763c42636404017da03099af0dcca0fd6" + "0d037cb1c6d495c0f5f22b061d23f1be3d7fe64d3c6820cfcd99b6b36fa69f7b4c1f4addba2ae7aa46fb25901ab483e4"), - }, - { - u: common.FromHex("0e93d11d30de6d84b8578827856f5c05feef36083eef0b7b263e35ecb9b56e86299614a042e57d467fa20948e8564909"), - expected: common.FromHex("15aa66c77eded1209db694e8b1ba49daf8b686733afaa7b68c683d0b01788dfb0617a2e2d04c0856db4981921d3004af" + "0952bb2f61739dd1d201dd0a79d74cda3285403d47655ee886afe860593a8a4e51c5b77a22d2133e3a4280eaaaa8b788"), - }, - { - u: common.FromHex("015a41481155d17074d20be6d8ec4d46632a51521cd9c916e265bd9b47343b3689979b50708c8546cbc2916b86cb1a3a"), - expected: common.FromHex("06328ce5106e837935e8da84bd9af473422e62492930aa5f460369baad9545defa468d9399854c23a75495d2a80487ee" + "094bfdfe3e552447433b5a00967498a3f1314b86ce7a7164c8a8f4131f99333b30a574607e301d5f774172c627fd0bca"), - }, - } { - g := NewG1() - p0, err := g.MapToCurve(v.u) - if err != nil { - t.Fatal("map to curve fails", i, err) - } - if !bytes.Equal(g.ToBytes(p0), v.expected) { - t.Fatal("map to curve fails", i) - } - } -} - -func BenchmarkG1Add(t *testing.B) { - g1 := NewG1() - a, b, c := g1.rand(), g1.rand(), PointG1{} - t.ResetTimer() - for i := 0; i < t.N; i++ { - g1.Add(&c, a, b) - } -} - -func BenchmarkG1Mul(t *testing.B) { - worstCaseScalar, _ := new(big.Int).SetString("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16) - g1 := NewG1() - a, e, c := g1.rand(), worstCaseScalar, PointG1{} - t.ResetTimer() - for i := 0; i < t.N; i++ { - g1.MulScalar(&c, a, e) - } -} - -func BenchmarkG1MapToCurve(t *testing.B) { - a := make([]byte, 48) - g1 := NewG1() - t.ResetTimer() - for i := 0; i < t.N; i++ { - _, err := g1.MapToCurve(a) - if err != nil { - t.Fatal(err) - } - } -} diff --git a/crypto/bls12381/g2.go b/crypto/bls12381/g2.go deleted file mode 100644 index b942bf94fd..0000000000 --- a/crypto/bls12381/g2.go +++ /dev/null @@ -1,455 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math" - "math/big" -) - -// PointG2 is type for point in G2. -// PointG2 is both used for Affine and Jacobian point representation. -// If z is equal to one the point is considered as in affine form. -type PointG2 [3]fe2 - -// Set copies values of one point to another. -func (p *PointG2) Set(p2 *PointG2) *PointG2 { - p[0].set(&p2[0]) - p[1].set(&p2[1]) - p[2].set(&p2[2]) - return p -} - -// Zero returns G2 point in point at infinity representation -func (p *PointG2) Zero() *PointG2 { - p[0].zero() - p[1].one() - p[2].zero() - return p -} - -type tempG2 struct { - t [9]*fe2 -} - -// G2 is struct for G2 group. -type G2 struct { - f *fp2 - tempG2 -} - -// NewG2 constructs a new G2 instance. -func NewG2() *G2 { - return newG2(nil) -} - -func newG2(f *fp2) *G2 { - if f == nil { - f = newFp2() - } - t := newTempG2() - return &G2{f, t} -} - -func newTempG2() tempG2 { - t := [9]*fe2{} - for i := 0; i < 9; i++ { - t[i] = &fe2{} - } - return tempG2{t} -} - -// Q returns group order in big.Int. -func (g *G2) Q() *big.Int { - return new(big.Int).Set(q) -} - -func (g *G2) fromBytesUnchecked(in []byte) (*PointG2, error) { - p0, err := g.f.fromBytes(in[:96]) - if err != nil { - return nil, err - } - p1, err := g.f.fromBytes(in[96:]) - if err != nil { - return nil, err - } - p2 := new(fe2).one() - return &PointG2{*p0, *p1, *p2}, nil -} - -// FromBytes constructs a new point given uncompressed byte input. -// FromBytes does not take zcash flags into account. -// Byte input expected to be larger than 96 bytes. -// First 192 bytes should be concatenation of x and y values -// Point (0, 0) is considered as infinity. -func (g *G2) FromBytes(in []byte) (*PointG2, error) { - if len(in) != 192 { - return nil, errors.New("input string should be equal or larger than 192") - } - p0, err := g.f.fromBytes(in[:96]) - if err != nil { - return nil, err - } - p1, err := g.f.fromBytes(in[96:]) - if err != nil { - return nil, err - } - // check if given input points to infinity - if p0.isZero() && p1.isZero() { - return g.Zero(), nil - } - p2 := new(fe2).one() - p := &PointG2{*p0, *p1, *p2} - if !g.IsOnCurve(p) { - return nil, errors.New("point is not on curve") - } - return p, nil -} - -// DecodePoint given encoded (x, y) coordinates in 256 bytes returns a valid G2 Point. -func (g *G2) DecodePoint(in []byte) (*PointG2, error) { - if len(in) != 256 { - return nil, errors.New("invalid g2 point length") - } - pointBytes := make([]byte, 192) - x0Bytes, err := decodeFieldElement(in[:64]) - if err != nil { - return nil, err - } - x1Bytes, err := decodeFieldElement(in[64:128]) - if err != nil { - return nil, err - } - y0Bytes, err := decodeFieldElement(in[128:192]) - if err != nil { - return nil, err - } - y1Bytes, err := decodeFieldElement(in[192:]) - if err != nil { - return nil, err - } - copy(pointBytes[:48], x1Bytes) - copy(pointBytes[48:96], x0Bytes) - copy(pointBytes[96:144], y1Bytes) - copy(pointBytes[144:192], y0Bytes) - return g.FromBytes(pointBytes) -} - -// ToBytes serializes a point into bytes in uncompressed form, -// does not take zcash flags into account, -// returns (0, 0) if point is infinity. -func (g *G2) ToBytes(p *PointG2) []byte { - out := make([]byte, 192) - if g.IsZero(p) { - return out - } - g.Affine(p) - copy(out[:96], g.f.toBytes(&p[0])) - copy(out[96:], g.f.toBytes(&p[1])) - return out -} - -// EncodePoint encodes a point into 256 bytes. -func (g *G2) EncodePoint(p *PointG2) []byte { - // outRaw is 96 bytes - outRaw := g.ToBytes(p) - out := make([]byte, 256) - // encode x - copy(out[16:16+48], outRaw[48:96]) - copy(out[80:80+48], outRaw[:48]) - // encode y - copy(out[144:144+48], outRaw[144:]) - copy(out[208:208+48], outRaw[96:144]) - return out -} - -// New creates a new G2 Point which is equal to zero in other words point at infinity. -func (g *G2) New() *PointG2 { - return new(PointG2).Zero() -} - -// Zero returns a new G2 Point which is equal to point at infinity. -func (g *G2) Zero() *PointG2 { - return new(PointG2).Zero() -} - -// One returns a new G2 Point which is equal to generator point. -func (g *G2) One() *PointG2 { - p := &PointG2{} - return p.Set(&g2One) -} - -// IsZero returns true if given point is equal to zero. -func (g *G2) IsZero(p *PointG2) bool { - return p[2].isZero() -} - -// Equal checks if given two G2 point is equal in their affine form. -func (g *G2) Equal(p1, p2 *PointG2) bool { - if g.IsZero(p1) { - return g.IsZero(p2) - } - if g.IsZero(p2) { - return g.IsZero(p1) - } - t := g.t - g.f.square(t[0], &p1[2]) - g.f.square(t[1], &p2[2]) - g.f.mul(t[2], t[0], &p2[0]) - g.f.mul(t[3], t[1], &p1[0]) - g.f.mul(t[0], t[0], &p1[2]) - g.f.mul(t[1], t[1], &p2[2]) - g.f.mul(t[1], t[1], &p1[1]) - g.f.mul(t[0], t[0], &p2[1]) - return t[0].equal(t[1]) && t[2].equal(t[3]) -} - -// InCorrectSubgroup checks whether given point is in correct subgroup. -func (g *G2) InCorrectSubgroup(p *PointG2) bool { - tmp := &PointG2{} - g.MulScalar(tmp, p, q) - return g.IsZero(tmp) -} - -// IsOnCurve checks a G2 point is on curve. -func (g *G2) IsOnCurve(p *PointG2) bool { - if g.IsZero(p) { - return true - } - t := g.t - g.f.square(t[0], &p[1]) - g.f.square(t[1], &p[0]) - g.f.mul(t[1], t[1], &p[0]) - g.f.square(t[2], &p[2]) - g.f.square(t[3], t[2]) - g.f.mul(t[2], t[2], t[3]) - g.f.mul(t[2], b2, t[2]) - g.f.add(t[1], t[1], t[2]) - return t[0].equal(t[1]) -} - -// IsAffine checks a G2 point whether it is in affine form. -func (g *G2) IsAffine(p *PointG2) bool { - return p[2].isOne() -} - -// Affine calculates affine form of given G2 point. -func (g *G2) Affine(p *PointG2) *PointG2 { - if g.IsZero(p) { - return p - } - if !g.IsAffine(p) { - t := g.t - g.f.inverse(t[0], &p[2]) - g.f.square(t[1], t[0]) - g.f.mul(&p[0], &p[0], t[1]) - g.f.mul(t[0], t[0], t[1]) - g.f.mul(&p[1], &p[1], t[0]) - p[2].one() - } - return p -} - -// Add adds two G2 points p1, p2 and assigns the result to point at first argument. -func (g *G2) Add(r, p1, p2 *PointG2) *PointG2 { - // http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl - if g.IsZero(p1) { - return r.Set(p2) - } - if g.IsZero(p2) { - return r.Set(p1) - } - t := g.t - g.f.square(t[7], &p1[2]) - g.f.mul(t[1], &p2[0], t[7]) - g.f.mul(t[2], &p1[2], t[7]) - g.f.mul(t[0], &p2[1], t[2]) - g.f.square(t[8], &p2[2]) - g.f.mul(t[3], &p1[0], t[8]) - g.f.mul(t[4], &p2[2], t[8]) - g.f.mul(t[2], &p1[1], t[4]) - if t[1].equal(t[3]) { - if t[0].equal(t[2]) { - return g.Double(r, p1) - } - return r.Zero() - } - g.f.sub(t[1], t[1], t[3]) - g.f.double(t[4], t[1]) - g.f.square(t[4], t[4]) - g.f.mul(t[5], t[1], t[4]) - g.f.sub(t[0], t[0], t[2]) - g.f.double(t[0], t[0]) - g.f.square(t[6], t[0]) - g.f.sub(t[6], t[6], t[5]) - g.f.mul(t[3], t[3], t[4]) - g.f.double(t[4], t[3]) - g.f.sub(&r[0], t[6], t[4]) - g.f.sub(t[4], t[3], &r[0]) - g.f.mul(t[6], t[2], t[5]) - g.f.double(t[6], t[6]) - g.f.mul(t[0], t[0], t[4]) - g.f.sub(&r[1], t[0], t[6]) - g.f.add(t[0], &p1[2], &p2[2]) - g.f.square(t[0], t[0]) - g.f.sub(t[0], t[0], t[7]) - g.f.sub(t[0], t[0], t[8]) - g.f.mul(&r[2], t[0], t[1]) - return r -} - -// Double doubles a G2 point p and assigns the result to the point at first argument. -func (g *G2) Double(r, p *PointG2) *PointG2 { - // http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l - if g.IsZero(p) { - return r.Set(p) - } - t := g.t - g.f.square(t[0], &p[0]) - g.f.square(t[1], &p[1]) - g.f.square(t[2], t[1]) - g.f.add(t[1], &p[0], t[1]) - g.f.square(t[1], t[1]) - g.f.sub(t[1], t[1], t[0]) - g.f.sub(t[1], t[1], t[2]) - g.f.double(t[1], t[1]) - g.f.double(t[3], t[0]) - g.f.add(t[0], t[3], t[0]) - g.f.square(t[4], t[0]) - g.f.double(t[3], t[1]) - g.f.sub(&r[0], t[4], t[3]) - g.f.sub(t[1], t[1], &r[0]) - g.f.double(t[2], t[2]) - g.f.double(t[2], t[2]) - g.f.double(t[2], t[2]) - g.f.mul(t[0], t[0], t[1]) - g.f.sub(t[1], t[0], t[2]) - g.f.mul(t[0], &p[1], &p[2]) - r[1].set(t[1]) - g.f.double(&r[2], t[0]) - return r -} - -// Neg negates a G2 point p and assigns the result to the point at first argument. -func (g *G2) Neg(r, p *PointG2) *PointG2 { - r[0].set(&p[0]) - g.f.neg(&r[1], &p[1]) - r[2].set(&p[2]) - return r -} - -// Sub subtracts two G2 points p1, p2 and assigns the result to point at first argument. -func (g *G2) Sub(c, a, b *PointG2) *PointG2 { - d := &PointG2{} - g.Neg(d, b) - g.Add(c, a, d) - return c -} - -// MulScalar multiplies a point by given scalar value in big.Int and assigns the result to point at first argument. -func (g *G2) MulScalar(c, p *PointG2, e *big.Int) *PointG2 { - q, n := &PointG2{}, &PointG2{} - n.Set(p) - l := e.BitLen() - for i := 0; i < l; i++ { - if e.Bit(i) == 1 { - g.Add(q, q, n) - } - g.Double(n, n) - } - return c.Set(q) -} - -// ClearCofactor maps given a G2 point to correct subgroup -func (g *G2) ClearCofactor(p *PointG2) { - g.MulScalar(p, p, cofactorEFFG2) -} - -// MultiExp calculates multi exponentiation. Given pairs of G2 point and scalar values -// (P_0, e_0), (P_1, e_1), ... (P_n, e_n) calculates r = e_0 * P_0 + e_1 * P_1 + ... + e_n * P_n -// Length of points and scalars are expected to be equal, otherwise an error is returned. -// Result is assigned to point at first argument. -func (g *G2) MultiExp(r *PointG2, points []*PointG2, powers []*big.Int) (*PointG2, error) { - if len(points) != len(powers) { - return nil, errors.New("point and scalar vectors should be in same length") - } - var c uint32 = 3 - if len(powers) >= 32 { - c = uint32(math.Ceil(math.Log10(float64(len(powers))))) - } - bucketSize, numBits := (1<= 0; i-- { - g.Add(sum, sum, bucket[i]) - g.Add(acc, acc, sum) - } - windows[j] = g.New() - windows[j].Set(acc) - j++ - cur += c - } - acc.Zero() - for i := len(windows) - 1; i >= 0; i-- { - for j := uint32(0); j < c; j++ { - g.Double(acc, acc) - } - g.Add(acc, acc, windows[i]) - } - return r.Set(acc), nil -} - -// MapToCurve given a byte slice returns a valid G2 point. -// This mapping function implements the Simplified Shallue-van de Woestijne-Ulas method. -// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-05#section-6.6.2 -// Input byte slice should be a valid field element, otherwise an error is returned. -func (g *G2) MapToCurve(in []byte) (*PointG2, error) { - fp2 := g.f - u, err := fp2.fromBytes(in) - if err != nil { - return nil, err - } - x, y := swuMapG2(fp2, u) - isogenyMapG2(fp2, x, y) - z := new(fe2).one() - q := &PointG2{*x, *y, *z} - g.ClearCofactor(q) - return g.Affine(q), nil -} diff --git a/crypto/bls12381/g2_test.go b/crypto/bls12381/g2_test.go deleted file mode 100644 index 4d1f3a19ac..0000000000 --- a/crypto/bls12381/g2_test.go +++ /dev/null @@ -1,287 +0,0 @@ -package bls12381 - -import ( - "bytes" - "crypto/rand" - "math/big" - "testing" - - "github.com/ethereum/go-ethereum/common" -) - -func (g *G2) one() *PointG2 { - one, _ := g.fromBytesUnchecked( - common.FromHex("" + - "13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e" + - "024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8" + - "0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be" + - "0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801", - ), - ) - return one -} - -func (g *G2) rand() *PointG2 { - k, err := rand.Int(rand.Reader, q) - if err != nil { - panic(err) - } - return g.MulScalar(&PointG2{}, g.one(), k) -} - -func TestG2Serialization(t *testing.T) { - g2 := NewG2() - for i := 0; i < fuz; i++ { - a := g2.rand() - buf := g2.ToBytes(a) - b, err := g2.FromBytes(buf) - if err != nil { - t.Fatal(err) - } - if !g2.Equal(a, b) { - t.Fatal("bad serialization from/to") - } - } - for i := 0; i < fuz; i++ { - a := g2.rand() - encoded := g2.EncodePoint(a) - b, err := g2.DecodePoint(encoded) - if err != nil { - t.Fatal(err) - } - if !g2.Equal(a, b) { - t.Fatal("bad serialization encode/decode") - } - } -} - -func TestG2IsOnCurve(t *testing.T) { - g := NewG2() - zero := g.Zero() - if !g.IsOnCurve(zero) { - t.Fatal("zero must be on curve") - } - one := new(fe2).one() - p := &PointG2{*one, *one, *one} - if g.IsOnCurve(p) { - t.Fatal("(1, 1) is not on curve") - } -} - -func TestG2AdditiveProperties(t *testing.T) { - g := NewG2() - t0, t1 := g.New(), g.New() - zero := g.Zero() - for i := 0; i < fuz; i++ { - a, b := g.rand(), g.rand() - _, _, _ = b, t1, zero - g.Add(t0, a, zero) - if !g.Equal(t0, a) { - t.Fatal("a + 0 == a") - } - g.Add(t0, zero, zero) - if !g.Equal(t0, zero) { - t.Fatal("0 + 0 == 0") - } - g.Sub(t0, a, zero) - if !g.Equal(t0, a) { - t.Fatal("a - 0 == a") - } - g.Sub(t0, zero, zero) - if !g.Equal(t0, zero) { - t.Fatal("0 - 0 == 0") - } - g.Neg(t0, zero) - if !g.Equal(t0, zero) { - t.Fatal("- 0 == 0") - } - g.Sub(t0, zero, a) - g.Neg(t0, t0) - if !g.Equal(t0, a) { - t.Fatal(" - (0 - a) == a") - } - g.Double(t0, zero) - if !g.Equal(t0, zero) { - t.Fatal("2 * 0 == 0") - } - g.Double(t0, a) - g.Sub(t0, t0, a) - if !g.Equal(t0, a) || !g.IsOnCurve(t0) { - t.Fatal(" (2 * a) - a == a") - } - g.Add(t0, a, b) - g.Add(t1, b, a) - if !g.Equal(t0, t1) { - t.Fatal("a + b == b + a") - } - g.Sub(t0, a, b) - g.Sub(t1, b, a) - g.Neg(t1, t1) - if !g.Equal(t0, t1) { - t.Fatal("a - b == - ( b - a )") - } - c := g.rand() - g.Add(t0, a, b) - g.Add(t0, t0, c) - g.Add(t1, a, c) - g.Add(t1, t1, b) - if !g.Equal(t0, t1) { - t.Fatal("(a + b) + c == (a + c ) + b") - } - g.Sub(t0, a, b) - g.Sub(t0, t0, c) - g.Sub(t1, a, c) - g.Sub(t1, t1, b) - if !g.Equal(t0, t1) { - t.Fatal("(a - b) - c == (a - c) -b") - } - } -} - -func TestG2MultiplicativeProperties(t *testing.T) { - g := NewG2() - t0, t1 := g.New(), g.New() - zero := g.Zero() - for i := 0; i < fuz; i++ { - a := g.rand() - s1, s2, s3 := randScalar(q), randScalar(q), randScalar(q) - sone := big.NewInt(1) - g.MulScalar(t0, zero, s1) - if !g.Equal(t0, zero) { - t.Fatal(" 0 ^ s == 0") - } - g.MulScalar(t0, a, sone) - if !g.Equal(t0, a) { - t.Fatal(" a ^ 1 == a") - } - g.MulScalar(t0, zero, s1) - if !g.Equal(t0, zero) { - t.Fatal(" 0 ^ s == a") - } - g.MulScalar(t0, a, s1) - g.MulScalar(t0, t0, s2) - s3.Mul(s1, s2) - g.MulScalar(t1, a, s3) - if !g.Equal(t0, t1) { - t.Errorf(" (a ^ s1) ^ s2 == a ^ (s1 * s2)") - } - g.MulScalar(t0, a, s1) - g.MulScalar(t1, a, s2) - g.Add(t0, t0, t1) - s3.Add(s1, s2) - g.MulScalar(t1, a, s3) - if !g.Equal(t0, t1) { - t.Errorf(" (a ^ s1) + (a ^ s2) == a ^ (s1 + s2)") - } - } -} - -func TestG2MultiExpExpected(t *testing.T) { - g := NewG2() - one := g.one() - var scalars [2]*big.Int - var bases [2]*PointG2 - scalars[0] = big.NewInt(2) - scalars[1] = big.NewInt(3) - bases[0], bases[1] = new(PointG2).Set(one), new(PointG2).Set(one) - expected, result := g.New(), g.New() - g.MulScalar(expected, one, big.NewInt(5)) - _, _ = g.MultiExp(result, bases[:], scalars[:]) - if !g.Equal(expected, result) { - t.Fatal("bad multi-exponentiation") - } -} - -func TestG2MultiExpBatch(t *testing.T) { - g := NewG2() - one := g.one() - n := 1000 - bases := make([]*PointG2, n) - scalars := make([]*big.Int, n) - // scalars: [s0,s1 ... s(n-1)] - // bases: [P0,P1,..P(n-1)] = [s(n-1)*G, s(n-2)*G ... s0*G] - for i, j := 0, n-1; i < n; i, j = i+1, j-1 { - scalars[j], _ = rand.Int(rand.Reader, big.NewInt(100000)) - bases[i] = g.New() - g.MulScalar(bases[i], one, scalars[j]) - } - // expected: s(n-1)*P0 + s(n-2)*P1 + s0*P(n-1) - expected, tmp := g.New(), g.New() - for i := 0; i < n; i++ { - g.MulScalar(tmp, bases[i], scalars[i]) - g.Add(expected, expected, tmp) - } - result := g.New() - _, _ = g.MultiExp(result, bases, scalars) - if !g.Equal(expected, result) { - t.Fatal("bad multi-exponentiation") - } -} - -func TestG2MapToCurve(t *testing.T) { - for i, v := range []struct { - u []byte - expected []byte - }{ - { - u: make([]byte, 96), - expected: common.FromHex("0a67d12118b5a35bb02d2e86b3ebfa7e23410db93de39fb06d7025fa95e96ffa428a7a27c3ae4dd4b40bd251ac658892" + "018320896ec9eef9d5e619848dc29ce266f413d02dd31d9b9d44ec0c79cd61f18b075ddba6d7bd20b7ff27a4b324bfce" + "04c69777a43f0bda07679d5805e63f18cf4e0e7c6112ac7f70266d199b4f76ae27c6269a3ceebdae30806e9a76aadf5c" + "0260e03644d1a2c321256b3246bad2b895cad13890cbe6f85df55106a0d334604fb143c7a042d878006271865bc35941"), - }, - { - u: common.FromHex("025fbc07711ba267b7e70c82caa70a16fbb1d470ae24ceef307f5e2000751677820b7013ad4e25492dcf30052d3e5eca" + "0e775d7827adf385b83e20e4445bd3fab21d7b4498426daf3c1d608b9d41e9edb5eda0df022e753b8bb4bc3bb7db4914"), - expected: common.FromHex("0d4333b77becbf9f9dfa3ca928002233d1ecc854b1447e5a71f751c9042d000f42db91c1d6649a5e0ad22bd7bf7398b8" + "027e4bfada0b47f9f07e04aec463c7371e68f2fd0c738cd517932ea3801a35acf09db018deda57387b0f270f7a219e4d" + "0cc76dc777ea0d447e02a41004f37a0a7b1fafb6746884e8d9fc276716ccf47e4e0899548a2ec71c2bdf1a2a50e876db" + "053674cba9ef516ddc218fedb37324e6c47de27f88ab7ef123b006127d738293c0277187f7e2f80a299a24d84ed03da7"), - }, - { - u: common.FromHex("1870a7dbfd2a1deb74015a3546b20f598041bf5d5202997956a94a368d30d3f70f18cdaa1d33ce970a4e16af961cbdcb" + "045ab31ce4b5a8ba7c4b2851b64f063a66cd1223d3c85005b78e1beee65e33c90ceef0244e45fc45a5e1d6eab6644fdb"), - expected: common.FromHex("18f0f87b40af67c056915dbaf48534c592524e82c1c2b50c3734d02c0172c80df780a60b5683759298a3303c5d942778" + "09349f1cb5b2e55489dcd45a38545343451cc30a1681c57acd4fb0a6db125f8352c09f4a67eb7d1d8242cb7d3405f97b" + "10a2ba341bc689ab947b7941ce6ef39be17acaab067bd32bd652b471ab0792c53a2bd03bdac47f96aaafe96e441f63c0" + "02f2d9deb2c7742512f5b8230bf0fd83ea42279d7d39779543c1a43b61c885982b611f6a7a24b514995e8a098496b811"), - }, - { - u: common.FromHex("088fe329b054db8a6474f21a7fbfdf17b4c18044db299d9007af582c3d5f17d00e56d99921d4b5640fce44b05219b5de" + "0b6e6135a4cd31ba980ddbd115ac48abef7ec60e226f264d7befe002c165f3a496f36f76dd524efd75d17422558d10b4"), - expected: common.FromHex("19808ec5930a53c7cf5912ccce1cc33f1b3dcff24a53ce1cc4cba41fd6996dbed4843ccdd2eaf6a0cd801e562718d163" + "149fe43777d34f0d25430dea463889bd9393bdfb4932946db23671727081c629ebb98a89604f3433fba1c67d356a4af7" + "04783e391c30c83f805ca271e353582fdf19d159f6a4c39b73acbb637a9b8ac820cfbe2738d683368a7c07ad020e3e33" + "04c0d6793a766233b2982087b5f4a254f261003ccb3262ea7c50903eecef3e871d1502c293f9e063d7d293f6384f4551"), - }, - { - u: common.FromHex("03df16a66a05e4c1188c234788f43896e0565bfb64ac49b9639e6b284cc47dad73c47bb4ea7e677db8d496beb907fbb6" + "0f45b50647d67485295aa9eb2d91a877b44813677c67c8d35b2173ff3ba95f7bd0806f9ca8a1436b8b9d14ee81da4d7e"), - expected: common.FromHex("0b8e0094c886487870372eb6264613a6a087c7eb9804fab789be4e47a57b29eb19b1983a51165a1b5eb025865e9fc63a" + "0804152cbf8474669ad7d1796ab92d7ca21f32d8bed70898a748ed4e4e0ec557069003732fc86866d938538a2ae95552" + "14c80f068ece15a3936bb00c3c883966f75b4e8d9ddde809c11f781ab92d23a2d1d103ad48f6f3bb158bf3e3a4063449" + "09e5c8242dd7281ad32c03fe4af3f19167770016255fb25ad9b67ec51d62fade31a1af101e8f6172ec2ee8857662be3a"), - }, - } { - g := NewG2() - p0, err := g.MapToCurve(v.u) - if err != nil { - t.Fatal("map to curve fails", i, err) - } - if !bytes.Equal(g.ToBytes(p0), v.expected) { - t.Fatal("map to curve fails", i) - } - } -} - -func BenchmarkG2Add(t *testing.B) { - g2 := NewG2() - a, b, c := g2.rand(), g2.rand(), PointG2{} - t.ResetTimer() - for i := 0; i < t.N; i++ { - g2.Add(&c, a, b) - } -} - -func BenchmarkG2Mul(t *testing.B) { - worstCaseScalar, _ := new(big.Int).SetString("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16) - g2 := NewG2() - a, e, c := g2.rand(), worstCaseScalar, PointG2{} - t.ResetTimer() - for i := 0; i < t.N; i++ { - g2.MulScalar(&c, a, e) - } -} - -func BenchmarkG2SWUMap(t *testing.B) { - a := make([]byte, 96) - g2 := NewG2() - t.ResetTimer() - for i := 0; i < t.N; i++ { - _, err := g2.MapToCurve(a) - if err != nil { - t.Fatal(err) - } - } -} diff --git a/crypto/bls12381/gt.go b/crypto/bls12381/gt.go deleted file mode 100644 index 2ac265e956..0000000000 --- a/crypto/bls12381/gt.go +++ /dev/null @@ -1,121 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" -) - -// E is type for target group element -type E = fe12 - -// GT is type for target multiplicative group GT. -type GT struct { - fp12 *fp12 -} - -func (e *E) Set(e2 *E) *E { - return e.set(e2) -} - -// One sets a new target group element to one -func (e *E) One() *E { - e = new(fe12).one() - return e -} - -// IsOne returns true if given element equals to one -func (e *E) IsOne() bool { - return e.isOne() -} - -// Equal returns true if given two element is equal, otherwise returns false -func (g *E) Equal(g2 *E) bool { - return g.equal(g2) -} - -// NewGT constructs new target group instance. -func NewGT() *GT { - fp12 := newFp12(nil) - return >{fp12} -} - -// Q returns group order in big.Int. -func (g *GT) Q() *big.Int { - return new(big.Int).Set(q) -} - -// FromBytes expects 576 byte input and returns target group element -// FromBytes returns error if given element is not on correct subgroup. -func (g *GT) FromBytes(in []byte) (*E, error) { - e, err := g.fp12.fromBytes(in) - if err != nil { - return nil, err - } - if !g.IsValid(e) { - return e, errors.New("invalid element") - } - return e, nil -} - -// ToBytes serializes target group element. -func (g *GT) ToBytes(e *E) []byte { - return g.fp12.toBytes(e) -} - -// IsValid checks whether given target group element is in correct subgroup. -func (g *GT) IsValid(e *E) bool { - r := g.New() - g.fp12.exp(r, e, q) - return r.isOne() -} - -// New initializes a new target group element which is equal to one -func (g *GT) New() *E { - return new(E).One() -} - -// Add adds two field element `a` and `b` and assigns the result to the element in first argument. -func (g *GT) Add(c, a, b *E) { - g.fp12.add(c, a, b) -} - -// Sub subtracts two field element `a` and `b`, and assigns the result to the element in first argument. -func (g *GT) Sub(c, a, b *E) { - g.fp12.sub(c, a, b) -} - -// Mul multiplies two field element `a` and `b` and assigns the result to the element in first argument. -func (g *GT) Mul(c, a, b *E) { - g.fp12.mul(c, a, b) -} - -// Square squares an element `a` and assigns the result to the element in first argument. -func (g *GT) Square(c, a *E) { - g.fp12.cyclotomicSquare(c, a) -} - -// Exp exponents an element `a` by a scalar `s` and assigns the result to the element in first argument. -func (g *GT) Exp(c, a *E, s *big.Int) { - g.fp12.cyclotomicExp(c, a, s) -} - -// Inverse inverses an element `a` and assigns the result to the element in first argument. -func (g *GT) Inverse(c, a *E) { - g.fp12.inverse(c, a) -} diff --git a/crypto/bls12381/isogeny.go b/crypto/bls12381/isogeny.go deleted file mode 100644 index a63f585dd0..0000000000 --- a/crypto/bls12381/isogeny.go +++ /dev/null @@ -1,227 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -// isogenyMapG1 applies 11-isogeny map for BLS12-381 G1 defined at draft-irtf-cfrg-hash-to-curve-06. -func isogenyMapG1(x, y *fe) { - // https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06#appendix-C.2 - params := isogenyConstantsG1 - degree := 15 - xNum, xDen, yNum, yDen := new(fe), new(fe), new(fe), new(fe) - xNum.set(params[0][degree]) - xDen.set(params[1][degree]) - yNum.set(params[2][degree]) - yDen.set(params[3][degree]) - for i := degree - 1; i >= 0; i-- { - mul(xNum, xNum, x) - mul(xDen, xDen, x) - mul(yNum, yNum, x) - mul(yDen, yDen, x) - add(xNum, xNum, params[0][i]) - add(xDen, xDen, params[1][i]) - add(yNum, yNum, params[2][i]) - add(yDen, yDen, params[3][i]) - } - inverse(xDen, xDen) - inverse(yDen, yDen) - mul(xNum, xNum, xDen) - mul(yNum, yNum, yDen) - mul(yNum, yNum, y) - x.set(xNum) - y.set(yNum) -} - -// isogenyMapG2 applies 11-isogeny map for BLS12-381 G1 defined at draft-irtf-cfrg-hash-to-curve-06. -func isogenyMapG2(e *fp2, x, y *fe2) { - if e == nil { - e = newFp2() - } - // https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06#appendix-C.2 - params := isogenyConstantsG2 - degree := 3 - xNum := new(fe2).set(params[0][degree]) - xDen := new(fe2).set(params[1][degree]) - yNum := new(fe2).set(params[2][degree]) - yDen := new(fe2).set(params[3][degree]) - for i := degree - 1; i >= 0; i-- { - e.mul(xNum, xNum, x) - e.mul(xDen, xDen, x) - e.mul(yNum, yNum, x) - e.mul(yDen, yDen, x) - e.add(xNum, xNum, params[0][i]) - e.add(xDen, xDen, params[1][i]) - e.add(yNum, yNum, params[2][i]) - e.add(yDen, yDen, params[3][i]) - } - e.inverse(xDen, xDen) - e.inverse(yDen, yDen) - e.mul(xNum, xNum, xDen) - e.mul(yNum, yNum, yDen) - e.mul(yNum, yNum, y) - x.set(xNum) - y.set(yNum) -} - -var isogenyConstantsG1 = [4][16]*fe{ - { - {0x4d18b6f3af00131c, 0x19fa219793fee28c, 0x3f2885f1467f19ae, 0x23dcea34f2ffb304, 0xd15b58d2ffc00054, 0x0913be200a20bef4}, - {0x898985385cdbbd8b, 0x3c79e43cc7d966aa, 0x1597e193f4cd233a, 0x8637ef1e4d6623ad, 0x11b22deed20d827b, 0x07097bc5998784ad}, - {0xa542583a480b664b, 0xfc7169c026e568c6, 0x5ba2ef314ed8b5a6, 0x5b5491c05102f0e7, 0xdf6e99707d2a0079, 0x0784151ed7605524}, - {0x494e212870f72741, 0xab9be52fbda43021, 0x26f5577994e34c3d, 0x049dfee82aefbd60, 0x65dadd7828505289, 0x0e93d431ea011aeb}, - {0x90ee774bd6a74d45, 0x7ada1c8a41bfb185, 0x0f1a8953b325f464, 0x104c24211be4805c, 0x169139d319ea7a8f, 0x09f20ead8e532bf6}, - {0x6ddd93e2f43626b7, 0xa5482c9aa1ccd7bd, 0x143245631883f4bd, 0x2e0a94ccf77ec0db, 0xb0282d480e56489f, 0x18f4bfcbb4368929}, - {0x23c5f0c953402dfd, 0x7a43ff6958ce4fe9, 0x2c390d3d2da5df63, 0xd0df5c98e1f9d70f, 0xffd89869a572b297, 0x1277ffc72f25e8fe}, - {0x79f4f0490f06a8a6, 0x85f894a88030fd81, 0x12da3054b18b6410, 0xe2a57f6505880d65, 0xbba074f260e400f1, 0x08b76279f621d028}, - {0xe67245ba78d5b00b, 0x8456ba9a1f186475, 0x7888bff6e6b33bb4, 0xe21585b9a30f86cb, 0x05a69cdcef55feee, 0x09e699dd9adfa5ac}, - {0x0de5c357bff57107, 0x0a0db4ae6b1a10b2, 0xe256bb67b3b3cd8d, 0x8ad456574e9db24f, 0x0443915f50fd4179, 0x098c4bf7de8b6375}, - {0xe6b0617e7dd929c7, 0xfe6e37d442537375, 0x1dafdeda137a489e, 0xe4efd1ad3f767ceb, 0x4a51d8667f0fe1cf, 0x054fdf4bbf1d821c}, - {0x72db2a50658d767b, 0x8abf91faa257b3d5, 0xe969d6833764ab47, 0x464170142a1009eb, 0xb14f01aadb30be2f, 0x18ae6a856f40715d}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - }, - { - {0xb962a077fdb0f945, 0xa6a9740fefda13a0, 0xc14d568c3ed6c544, 0xb43fc37b908b133e, 0x9c0b3ac929599016, 0x0165aa6c93ad115f}, - {0x23279a3ba506c1d9, 0x92cfca0a9465176a, 0x3b294ab13755f0ff, 0x116dda1c5070ae93, 0xed4530924cec2045, 0x083383d6ed81f1ce}, - {0x9885c2a6449fecfc, 0x4a2b54ccd37733f0, 0x17da9ffd8738c142, 0xa0fba72732b3fafd, 0xff364f36e54b6812, 0x0f29c13c660523e2}, - {0xe349cc118278f041, 0xd487228f2f3204fb, 0xc9d325849ade5150, 0x43a92bd69c15c2df, 0x1c2c7844bc417be4, 0x12025184f407440c}, - {0x587f65ae6acb057b, 0x1444ef325140201f, 0xfbf995e71270da49, 0xccda066072436a42, 0x7408904f0f186bb2, 0x13b93c63edf6c015}, - {0xfb918622cd141920, 0x4a4c64423ecaddb4, 0x0beb232927f7fb26, 0x30f94df6f83a3dc2, 0xaeedd424d780f388, 0x06cc402dd594bbeb}, - {0xd41f761151b23f8f, 0x32a92465435719b3, 0x64f436e888c62cb9, 0xdf70a9a1f757c6e4, 0x6933a38d5b594c81, 0x0c6f7f7237b46606}, - {0x693c08747876c8f7, 0x22c9850bf9cf80f0, 0x8e9071dab950c124, 0x89bc62d61c7baf23, 0xbc6be2d8dad57c23, 0x17916987aa14a122}, - {0x1be3ff439c1316fd, 0x9965243a7571dfa7, 0xc7f7f62962f5cd81, 0x32c6aa9af394361c, 0xbbc2ee18e1c227f4, 0x0c102cbac531bb34}, - {0x997614c97bacbf07, 0x61f86372b99192c0, 0x5b8c95fc14353fc3, 0xca2b066c2a87492f, 0x16178f5bbf698711, 0x12a6dcd7f0f4e0e8}, - {0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0}, - }, - { - {0x2b567ff3e2837267, 0x1d4d9e57b958a767, 0xce028fea04bd7373, 0xcc31a30a0b6cd3df, 0x7d7b18a682692693, 0x0d300744d42a0310}, - {0x99c2555fa542493f, 0xfe7f53cc4874f878, 0x5df0608b8f97608a, 0x14e03832052b49c8, 0x706326a6957dd5a4, 0x0a8dadd9c2414555}, - {0x13d942922a5cf63a, 0x357e33e36e261e7d, 0xcf05a27c8456088d, 0x0000bd1de7ba50f0, 0x83d0c7532f8c1fde, 0x13f70bf38bbf2905}, - {0x5c57fd95bfafbdbb, 0x28a359a65e541707, 0x3983ceb4f6360b6d, 0xafe19ff6f97e6d53, 0xb3468f4550192bf7, 0x0bb6cde49d8ba257}, - {0x590b62c7ff8a513f, 0x314b4ce372cacefd, 0x6bef32ce94b8a800, 0x6ddf84a095713d5f, 0x64eace4cb0982191, 0x0386213c651b888d}, - {0xa5310a31111bbcdd, 0xa14ac0f5da148982, 0xf9ad9cc95423d2e9, 0xaa6ec095283ee4a7, 0xcf5b1f022e1c9107, 0x01fddf5aed881793}, - {0x65a572b0d7a7d950, 0xe25c2d8183473a19, 0xc2fcebe7cb877dbd, 0x05b2d36c769a89b0, 0xba12961be86e9efb, 0x07eb1b29c1dfde1f}, - {0x93e09572f7c4cd24, 0x364e929076795091, 0x8569467e68af51b5, 0xa47da89439f5340f, 0xf4fa918082e44d64, 0x0ad52ba3e6695a79}, - {0x911429844e0d5f54, 0xd03f51a3516bb233, 0x3d587e5640536e66, 0xfa86d2a3a9a73482, 0xa90ed5adf1ed5537, 0x149c9c326a5e7393}, - {0x462bbeb03c12921a, 0xdc9af5fa0a274a17, 0x9a558ebde836ebed, 0x649ef8f11a4fae46, 0x8100e1652b3cdc62, 0x1862bd62c291dacb}, - {0x05c9b8ca89f12c26, 0x0194160fa9b9ac4f, 0x6a643d5a6879fa2c, 0x14665bdd8846e19d, 0xbb1d0d53af3ff6bf, 0x12c7e1c3b28962e5}, - {0xb55ebf900b8a3e17, 0xfedc77ec1a9201c4, 0x1f07db10ea1a4df4, 0x0dfbd15dc41a594d, 0x389547f2334a5391, 0x02419f98165871a4}, - {0xb416af000745fc20, 0x8e563e9d1ea6d0f5, 0x7c763e17763a0652, 0x01458ef0159ebbef, 0x8346fe421f96bb13, 0x0d2d7b829ce324d2}, - {0x93096bb538d64615, 0x6f2a2619951d823a, 0x8f66b3ea59514fa4, 0xf563e63704f7092f, 0x724b136c4cf2d9fa, 0x046959cfcfd0bf49}, - {0xea748d4b6e405346, 0x91e9079c2c02d58f, 0x41064965946d9b59, 0xa06731f1d2bbe1ee, 0x07f897e267a33f1b, 0x1017290919210e5f}, - {0x872aa6c17d985097, 0xeecc53161264562a, 0x07afe37afff55002, 0x54759078e5be6838, 0xc4b92d15db8acca8, 0x106d87d1b51d13b9}, - }, - { - {0xeb6c359d47e52b1c, 0x18ef5f8a10634d60, 0xddfa71a0889d5b7e, 0x723e71dcc5fc1323, 0x52f45700b70d5c69, 0x0a8b981ee47691f1}, - {0x616a3c4f5535b9fb, 0x6f5f037395dbd911, 0xf25f4cc5e35c65da, 0x3e50dffea3c62658, 0x6a33dca523560776, 0x0fadeff77b6bfe3e}, - {0x2be9b66df470059c, 0x24a2c159a3d36742, 0x115dbe7ad10c2a37, 0xb6634a652ee5884d, 0x04fe8bb2b8d81af4, 0x01c2a7a256fe9c41}, - {0xf27bf8ef3b75a386, 0x898b367476c9073f, 0x24482e6b8c2f4e5f, 0xc8e0bbd6fe110806, 0x59b0c17f7631448a, 0x11037cd58b3dbfbd}, - {0x31c7912ea267eec6, 0x1dbf6f1c5fcdb700, 0xd30d4fe3ba86fdb1, 0x3cae528fbee9a2a4, 0xb1cce69b6aa9ad9a, 0x044393bb632d94fb}, - {0xc66ef6efeeb5c7e8, 0x9824c289dd72bb55, 0x71b1a4d2f119981d, 0x104fc1aafb0919cc, 0x0e49df01d942a628, 0x096c3a09773272d4}, - {0x9abc11eb5fadeff4, 0x32dca50a885728f0, 0xfb1fa3721569734c, 0xc4b76271ea6506b3, 0xd466a75599ce728e, 0x0c81d4645f4cb6ed}, - {0x4199f10e5b8be45b, 0xda64e495b1e87930, 0xcb353efe9b33e4ff, 0x9e9efb24aa6424c6, 0xf08d33680a237465, 0x0d3378023e4c7406}, - {0x7eb4ae92ec74d3a5, 0xc341b4aa9fac3497, 0x5be603899e907687, 0x03bfd9cca75cbdeb, 0x564c2935a96bfa93, 0x0ef3c33371e2fdb5}, - {0x7ee91fd449f6ac2e, 0xe5d5bd5cb9357a30, 0x773a8ca5196b1380, 0xd0fda172174ed023, 0x6cb95e0fa776aead, 0x0d22d5a40cec7cff}, - {0xf727e09285fd8519, 0xdc9d55a83017897b, 0x7549d8bd057894ae, 0x178419613d90d8f8, 0xfce95ebdeb5b490a, 0x0467ffaef23fc49e}, - {0xc1769e6a7c385f1b, 0x79bc930deac01c03, 0x5461c75a23ede3b5, 0x6e20829e5c230c45, 0x828e0f1e772a53cd, 0x116aefa749127bff}, - {0x101c10bf2744c10a, 0xbbf18d053a6a3154, 0xa0ecf39ef026f602, 0xfc009d4996dc5153, 0xb9000209d5bd08d3, 0x189e5fe4470cd73c}, - {0x7ebd546ca1575ed2, 0xe47d5a981d081b55, 0x57b2b625b6d4ca21, 0xb0a1ba04228520cc, 0x98738983c2107ff3, 0x13dddbc4799d81d6}, - {0x09319f2e39834935, 0x039e952cbdb05c21, 0x55ba77a9a2f76493, 0xfd04e3dfc6086467, 0xfb95832e7d78742e, 0x0ef9c24eccaf5e0e}, - {0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - }, -} - -var isogenyConstantsG2 = [4][4]*fe2{ - { - { - fe{0x47f671c71ce05e62, 0x06dd57071206393e, 0x7c80cd2af3fd71a2, 0x048103ea9e6cd062, 0xc54516acc8d037f6, 0x13808f550920ea41}, - fe{0x47f671c71ce05e62, 0x06dd57071206393e, 0x7c80cd2af3fd71a2, 0x048103ea9e6cd062, 0xc54516acc8d037f6, 0x13808f550920ea41}, - }, - { - fe{0, 0, 0, 0, 0, 0}, - fe{0x5fe55555554c71d0, 0x873fffdd236aaaa3, 0x6a6b4619b26ef918, 0x21c2888408874945, 0x2836cda7028cabc5, 0x0ac73310a7fd5abd}, - }, - { - fe{0x0a0c5555555971c3, 0xdb0c00101f9eaaae, 0xb1fb2f941d797997, 0xd3960742ef416e1c, 0xb70040e2c20556f4, 0x149d7861e581393b}, - fe{0xaff2aaaaaaa638e8, 0x439fffee91b55551, 0xb535a30cd9377c8c, 0x90e144420443a4a2, 0x941b66d3814655e2, 0x0563998853fead5e}, - }, - { - fe{0x40aac71c71c725ed, 0x190955557a84e38e, 0xd817050a8f41abc3, 0xd86485d4c87f6fb1, 0x696eb479f885d059, 0x198e1a74328002d2}, - fe{0, 0, 0, 0, 0, 0}, - }, - }, - { - { - fe{0, 0, 0, 0, 0, 0}, - fe{0x1f3affffff13ab97, 0xf25bfc611da3ff3e, 0xca3757cb3819b208, 0x3e6427366f8cec18, 0x03977bc86095b089, 0x04f69db13f39a952}, - }, - { - fe{0x447600000027552e, 0xdcb8009a43480020, 0x6f7ee9ce4a6e8b59, 0xb10330b7c0a95bc6, 0x6140b1fcfb1e54b7, 0x0381be097f0bb4e1}, - fe{0x7588ffffffd8557d, 0x41f3ff646e0bffdf, 0xf7b1e8d2ac426aca, 0xb3741acd32dbb6f8, 0xe9daf5b9482d581f, 0x167f53e0ba7431b8}, - }, - { - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0, 0, 0, 0, 0, 0}, - }, - { - fe{0, 0, 0, 0, 0, 0}, - fe{0, 0, 0, 0, 0, 0}, - }, - }, - { - { - fe{0x96d8f684bdfc77be, 0xb530e4f43b66d0e2, 0x184a88ff379652fd, 0x57cb23ecfae804e1, 0x0fd2e39eada3eba9, 0x08c8055e31c5d5c3}, - fe{0x96d8f684bdfc77be, 0xb530e4f43b66d0e2, 0x184a88ff379652fd, 0x57cb23ecfae804e1, 0x0fd2e39eada3eba9, 0x08c8055e31c5d5c3}, - }, - { - fe{0, 0, 0, 0, 0, 0}, - fe{0xbf0a71c71c91b406, 0x4d6d55d28b7638fd, 0x9d82f98e5f205aee, 0xa27aa27b1d1a18d5, 0x02c3b2b2d2938e86, 0x0c7d13420b09807f}, - }, - { - fe{0xd7f9555555531c74, 0x21cffff748daaaa8, 0x5a9ad1866c9bbe46, 0x4870a2210221d251, 0x4a0db369c0a32af1, 0x02b1ccc429ff56af}, - fe{0xe205aaaaaaac8e37, 0xfcdc000768795556, 0x0c96011a8a1537dd, 0x1c06a963f163406e, 0x010df44c82a881e6, 0x174f45260f808feb}, - }, - { - fe{0xa470bda12f67f35c, 0xc0fe38e23327b425, 0xc9d3d0f2c6f0678d, 0x1c55c9935b5a982e, 0x27f6c0e2f0746764, 0x117c5e6e28aa9054}, - fe{0, 0, 0, 0, 0, 0}, - }, - }, - { - { - fe{0x0162fffffa765adf, 0x8f7bea480083fb75, 0x561b3c2259e93611, 0x11e19fc1a9c875d5, 0xca713efc00367660, 0x03c6a03d41da1151}, - fe{0x0162fffffa765adf, 0x8f7bea480083fb75, 0x561b3c2259e93611, 0x11e19fc1a9c875d5, 0xca713efc00367660, 0x03c6a03d41da1151}, - }, - { - fe{0, 0, 0, 0, 0, 0}, - fe{0x5db0fffffd3b02c5, 0xd713f52358ebfdba, 0x5ea60761a84d161a, 0xbb2c75a34ea6c44a, 0x0ac6735921c1119b, 0x0ee3d913bdacfbf6}, - }, - { - fe{0x66b10000003affc5, 0xcb1400e764ec0030, 0xa73e5eb56fa5d106, 0x8984c913a0fe09a9, 0x11e10afb78ad7f13, 0x05429d0e3e918f52}, - fe{0x534dffffffc4aae6, 0x5397ff174c67ffcf, 0xbff273eb870b251d, 0xdaf2827152870915, 0x393a9cbaca9e2dc3, 0x14be74dbfaee5748}, - }, - { - fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}, - fe{0, 0, 0, 0, 0, 0}, - }, - }, -} diff --git a/crypto/bls12381/pairing.go b/crypto/bls12381/pairing.go deleted file mode 100644 index d292d7c3a5..0000000000 --- a/crypto/bls12381/pairing.go +++ /dev/null @@ -1,282 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -type pair struct { - g1 *PointG1 - g2 *PointG2 -} - -func newPair(g1 *PointG1, g2 *PointG2) pair { - return pair{g1, g2} -} - -// Engine is BLS12-381 elliptic curve pairing engine -type Engine struct { - G1 *G1 - G2 *G2 - fp12 *fp12 - fp2 *fp2 - pairingEngineTemp - pairs []pair -} - -// NewPairingEngine creates new pairing engine instance. -func NewPairingEngine() *Engine { - fp2 := newFp2() - fp6 := newFp6(fp2) - fp12 := newFp12(fp6) - g1 := NewG1() - g2 := newG2(fp2) - return &Engine{ - fp2: fp2, - fp12: fp12, - G1: g1, - G2: g2, - pairingEngineTemp: newEngineTemp(), - } -} - -type pairingEngineTemp struct { - t2 [10]*fe2 - t12 [9]fe12 -} - -func newEngineTemp() pairingEngineTemp { - t2 := [10]*fe2{} - for i := 0; i < 10; i++ { - t2[i] = &fe2{} - } - t12 := [9]fe12{} - return pairingEngineTemp{t2, t12} -} - -// AddPair adds a g1, g2 point pair to pairing engine -func (e *Engine) AddPair(g1 *PointG1, g2 *PointG2) *Engine { - p := newPair(g1, g2) - if !e.isZero(p) { - e.affine(p) - e.pairs = append(e.pairs, p) - } - return e -} - -// AddPairInv adds a G1, G2 point pair to pairing engine. G1 point is negated. -func (e *Engine) AddPairInv(g1 *PointG1, g2 *PointG2) *Engine { - e.G1.Neg(g1, g1) - e.AddPair(g1, g2) - return e -} - -// Reset deletes added pairs. -func (e *Engine) Reset() *Engine { - e.pairs = []pair{} - return e -} - -func (e *Engine) isZero(p pair) bool { - return e.G1.IsZero(p.g1) || e.G2.IsZero(p.g2) -} - -func (e *Engine) affine(p pair) { - e.G1.Affine(p.g1) - e.G2.Affine(p.g2) -} - -func (e *Engine) doublingStep(coeff *[3]fe2, r *PointG2) { - // Adaptation of Formula 3 in https://eprint.iacr.org/2010/526.pdf - fp2 := e.fp2 - t := e.t2 - fp2.mul(t[0], &r[0], &r[1]) - fp2.mulByFq(t[0], t[0], twoInv) - fp2.square(t[1], &r[1]) - fp2.square(t[2], &r[2]) - fp2.double(t[7], t[2]) - fp2.add(t[7], t[7], t[2]) - fp2.mulByB(t[3], t[7]) - fp2.double(t[4], t[3]) - fp2.add(t[4], t[4], t[3]) - fp2.add(t[5], t[1], t[4]) - fp2.mulByFq(t[5], t[5], twoInv) - fp2.add(t[6], &r[1], &r[2]) - fp2.square(t[6], t[6]) - fp2.add(t[7], t[2], t[1]) - fp2.sub(t[6], t[6], t[7]) - fp2.sub(&coeff[0], t[3], t[1]) - fp2.square(t[7], &r[0]) - fp2.sub(t[4], t[1], t[4]) - fp2.mul(&r[0], t[4], t[0]) - fp2.square(t[2], t[3]) - fp2.double(t[3], t[2]) - fp2.add(t[3], t[3], t[2]) - fp2.square(t[5], t[5]) - fp2.sub(&r[1], t[5], t[3]) - fp2.mul(&r[2], t[1], t[6]) - fp2.double(t[0], t[7]) - fp2.add(&coeff[1], t[0], t[7]) - fp2.neg(&coeff[2], t[6]) -} - -func (e *Engine) additionStep(coeff *[3]fe2, r, q *PointG2) { - // Algorithm 12 in https://eprint.iacr.org/2010/526.pdf - fp2 := e.fp2 - t := e.t2 - fp2.mul(t[0], &q[1], &r[2]) - fp2.neg(t[0], t[0]) - fp2.add(t[0], t[0], &r[1]) - fp2.mul(t[1], &q[0], &r[2]) - fp2.neg(t[1], t[1]) - fp2.add(t[1], t[1], &r[0]) - fp2.square(t[2], t[0]) - fp2.square(t[3], t[1]) - fp2.mul(t[4], t[1], t[3]) - fp2.mul(t[2], &r[2], t[2]) - fp2.mul(t[3], &r[0], t[3]) - fp2.double(t[5], t[3]) - fp2.sub(t[5], t[4], t[5]) - fp2.add(t[5], t[5], t[2]) - fp2.mul(&r[0], t[1], t[5]) - fp2.sub(t[2], t[3], t[5]) - fp2.mul(t[2], t[2], t[0]) - fp2.mul(t[3], &r[1], t[4]) - fp2.sub(&r[1], t[2], t[3]) - fp2.mul(&r[2], &r[2], t[4]) - fp2.mul(t[2], t[1], &q[1]) - fp2.mul(t[3], t[0], &q[0]) - fp2.sub(&coeff[0], t[3], t[2]) - fp2.neg(&coeff[1], t[0]) - coeff[2].set(t[1]) -} - -func (e *Engine) preCompute(ellCoeffs *[68][3]fe2, twistPoint *PointG2) { - // Algorithm 5 in https://eprint.iacr.org/2019/077.pdf - if e.G2.IsZero(twistPoint) { - return - } - r := new(PointG2).Set(twistPoint) - j := 0 - for i := x.BitLen() - 2; i >= 0; i-- { - e.doublingStep(&ellCoeffs[j], r) - if x.Bit(i) != 0 { - j++ - ellCoeffs[j] = fe6{} - e.additionStep(&ellCoeffs[j], r, twistPoint) - } - j++ - } -} - -func (e *Engine) millerLoop(f *fe12) { - pairs := e.pairs - ellCoeffs := make([][68][3]fe2, len(pairs)) - for i := 0; i < len(pairs); i++ { - e.preCompute(&ellCoeffs[i], pairs[i].g2) - } - fp12, fp2 := e.fp12, e.fp2 - t := e.t2 - f.one() - j := 0 - for i := 62; /* x.BitLen() - 2 */ i >= 0; i-- { - if i != 62 { - fp12.square(f, f) - } - for i := 0; i <= len(pairs)-1; i++ { - fp2.mulByFq(t[0], &ellCoeffs[i][j][2], &pairs[i].g1[1]) - fp2.mulByFq(t[1], &ellCoeffs[i][j][1], &pairs[i].g1[0]) - fp12.mulBy014Assign(f, &ellCoeffs[i][j][0], t[1], t[0]) - } - if x.Bit(i) != 0 { - j++ - for i := 0; i <= len(pairs)-1; i++ { - fp2.mulByFq(t[0], &ellCoeffs[i][j][2], &pairs[i].g1[1]) - fp2.mulByFq(t[1], &ellCoeffs[i][j][1], &pairs[i].g1[0]) - fp12.mulBy014Assign(f, &ellCoeffs[i][j][0], t[1], t[0]) - } - } - j++ - } - fp12.conjugate(f, f) -} - -func (e *Engine) exp(c, a *fe12) { - fp12 := e.fp12 - fp12.cyclotomicExp(c, a, x) - fp12.conjugate(c, c) -} - -func (e *Engine) finalExp(f *fe12) { - fp12 := e.fp12 - t := e.t12 - // easy part - fp12.frobeniusMap(&t[0], f, 6) - fp12.inverse(&t[1], f) - fp12.mul(&t[2], &t[0], &t[1]) - t[1].set(&t[2]) - fp12.frobeniusMapAssign(&t[2], 2) - fp12.mulAssign(&t[2], &t[1]) - fp12.cyclotomicSquare(&t[1], &t[2]) - fp12.conjugate(&t[1], &t[1]) - // hard part - e.exp(&t[3], &t[2]) - fp12.cyclotomicSquare(&t[4], &t[3]) - fp12.mul(&t[5], &t[1], &t[3]) - e.exp(&t[1], &t[5]) - e.exp(&t[0], &t[1]) - e.exp(&t[6], &t[0]) - fp12.mulAssign(&t[6], &t[4]) - e.exp(&t[4], &t[6]) - fp12.conjugate(&t[5], &t[5]) - fp12.mulAssign(&t[4], &t[5]) - fp12.mulAssign(&t[4], &t[2]) - fp12.conjugate(&t[5], &t[2]) - fp12.mulAssign(&t[1], &t[2]) - fp12.frobeniusMapAssign(&t[1], 3) - fp12.mulAssign(&t[6], &t[5]) - fp12.frobeniusMapAssign(&t[6], 1) - fp12.mulAssign(&t[3], &t[0]) - fp12.frobeniusMapAssign(&t[3], 2) - fp12.mulAssign(&t[3], &t[1]) - fp12.mulAssign(&t[3], &t[6]) - fp12.mul(f, &t[3], &t[4]) -} - -func (e *Engine) calculate() *fe12 { - f := e.fp12.one() - if len(e.pairs) == 0 { - return f - } - e.millerLoop(f) - e.finalExp(f) - return f -} - -// Check computes pairing and checks if result is equal to one -func (e *Engine) Check() bool { - return e.calculate().isOne() -} - -// Result computes pairing and returns target group element as result. -func (e *Engine) Result() *E { - r := e.calculate() - e.Reset() - return r -} - -// GT returns target group instance. -func (e *Engine) GT() *GT { - return NewGT() -} diff --git a/crypto/bls12381/pairing_test.go b/crypto/bls12381/pairing_test.go deleted file mode 100644 index 77676fe9b1..0000000000 --- a/crypto/bls12381/pairing_test.go +++ /dev/null @@ -1,230 +0,0 @@ -package bls12381 - -import ( - "math/big" - "testing" - - "github.com/ethereum/go-ethereum/common" -) - -func TestPairingExpected(t *testing.T) { - bls := NewPairingEngine() - G1, G2 := bls.G1, bls.G2 - GT := bls.GT() - expected, err := GT.FromBytes( - common.FromHex("" + - "0f41e58663bf08cf068672cbd01a7ec73baca4d72ca93544deff686bfd6df543d48eaa24afe47e1efde449383b676631" + - "04c581234d086a9902249b64728ffd21a189e87935a954051c7cdba7b3872629a4fafc05066245cb9108f0242d0fe3ef" + - "03350f55a7aefcd3c31b4fcb6ce5771cc6a0e9786ab5973320c806ad360829107ba810c5a09ffdd9be2291a0c25a99a2" + - "11b8b424cd48bf38fcef68083b0b0ec5c81a93b330ee1a677d0d15ff7b984e8978ef48881e32fac91b93b47333e2ba57" + - "06fba23eb7c5af0d9f80940ca771b6ffd5857baaf222eb95a7d2809d61bfe02e1bfd1b68ff02f0b8102ae1c2d5d5ab1a" + - "19f26337d205fb469cd6bd15c3d5a04dc88784fbb3d0b2dbdea54d43b2b73f2cbb12d58386a8703e0f948226e47ee89d" + - "018107154f25a764bd3c79937a45b84546da634b8f6be14a8061e55cceba478b23f7dacaa35c8ca78beae9624045b4b6" + - "01b2f522473d171391125ba84dc4007cfbf2f8da752f7c74185203fcca589ac719c34dffbbaad8431dad1c1fb597aaa5" + - "193502b86edb8857c273fa075a50512937e0794e1e65a7617c90d8bd66065b1fffe51d7a579973b1315021ec3c19934f" + - "1368bb445c7c2d209703f239689ce34c0378a68e72a6b3b216da0e22a5031b54ddff57309396b38c881c4c849ec23e87" + - "089a1c5b46e5110b86750ec6a532348868a84045483c92b7af5af689452eafabf1a8943e50439f1d59882a98eaa0170f" + - "1250ebd871fc0a92a7b2d83168d0d727272d441befa15c503dd8e90ce98db3e7b6d194f60839c508a84305aaca1789b6", - ), - ) - if err != nil { - t.Fatal(err) - } - r := bls.AddPair(G1.One(), G2.One()).Result() - if !r.Equal(expected) { - t.Fatal("bad pairing") - } - if !GT.IsValid(r) { - t.Fatal("element is not in correct subgroup") - } -} - -func TestPairingNonDegeneracy(t *testing.T) { - bls := NewPairingEngine() - G1, G2 := bls.G1, bls.G2 - g1Zero, g2Zero, g1One, g2One := G1.Zero(), G2.Zero(), G1.One(), G2.One() - GT := bls.GT() - // e(g1^a, g2^b) != 1 - bls.Reset() - { - bls.AddPair(g1One, g2One) - e := bls.Result() - if e.IsOne() { - t.Fatal("pairing result is not expected to be one") - } - if !GT.IsValid(e) { - t.Fatal("pairing result is not valid") - } - } - // e(g1^a, 0) == 1 - bls.Reset() - { - bls.AddPair(g1One, g2Zero) - e := bls.Result() - if !e.IsOne() { - t.Fatal("pairing result is expected to be one") - } - } - // e(0, g2^b) == 1 - bls.Reset() - { - bls.AddPair(g1Zero, g2One) - e := bls.Result() - if !e.IsOne() { - t.Fatal("pairing result is expected to be one") - } - } - // - bls.Reset() - { - bls.AddPair(g1Zero, g2One) - bls.AddPair(g1One, g2Zero) - bls.AddPair(g1Zero, g2Zero) - e := bls.Result() - if !e.IsOne() { - t.Fatal("pairing result is expected to be one") - } - } - // - bls.Reset() - { - expected, err := GT.FromBytes( - common.FromHex("" + - "0f41e58663bf08cf068672cbd01a7ec73baca4d72ca93544deff686bfd6df543d48eaa24afe47e1efde449383b676631" + - "04c581234d086a9902249b64728ffd21a189e87935a954051c7cdba7b3872629a4fafc05066245cb9108f0242d0fe3ef" + - "03350f55a7aefcd3c31b4fcb6ce5771cc6a0e9786ab5973320c806ad360829107ba810c5a09ffdd9be2291a0c25a99a2" + - "11b8b424cd48bf38fcef68083b0b0ec5c81a93b330ee1a677d0d15ff7b984e8978ef48881e32fac91b93b47333e2ba57" + - "06fba23eb7c5af0d9f80940ca771b6ffd5857baaf222eb95a7d2809d61bfe02e1bfd1b68ff02f0b8102ae1c2d5d5ab1a" + - "19f26337d205fb469cd6bd15c3d5a04dc88784fbb3d0b2dbdea54d43b2b73f2cbb12d58386a8703e0f948226e47ee89d" + - "018107154f25a764bd3c79937a45b84546da634b8f6be14a8061e55cceba478b23f7dacaa35c8ca78beae9624045b4b6" + - "01b2f522473d171391125ba84dc4007cfbf2f8da752f7c74185203fcca589ac719c34dffbbaad8431dad1c1fb597aaa5" + - "193502b86edb8857c273fa075a50512937e0794e1e65a7617c90d8bd66065b1fffe51d7a579973b1315021ec3c19934f" + - "1368bb445c7c2d209703f239689ce34c0378a68e72a6b3b216da0e22a5031b54ddff57309396b38c881c4c849ec23e87" + - "089a1c5b46e5110b86750ec6a532348868a84045483c92b7af5af689452eafabf1a8943e50439f1d59882a98eaa0170f" + - "1250ebd871fc0a92a7b2d83168d0d727272d441befa15c503dd8e90ce98db3e7b6d194f60839c508a84305aaca1789b6", - ), - ) - if err != nil { - t.Fatal(err) - } - bls.AddPair(g1Zero, g2One) - bls.AddPair(g1One, g2Zero) - bls.AddPair(g1Zero, g2Zero) - bls.AddPair(g1One, g2One) - e := bls.Result() - if !e.Equal(expected) { - t.Fatal("bad pairing") - } - } -} - -func TestPairingBilinearity(t *testing.T) { - bls := NewPairingEngine() - g1, g2 := bls.G1, bls.G2 - gt := bls.GT() - // e(a*G1, b*G2) = e(G1, G2)^c - { - a, b := big.NewInt(17), big.NewInt(117) - c := new(big.Int).Mul(a, b) - G1, G2 := g1.One(), g2.One() - e0 := bls.AddPair(G1, G2).Result() - P1, P2 := g1.New(), g2.New() - g1.MulScalar(P1, G1, a) - g2.MulScalar(P2, G2, b) - e1 := bls.AddPair(P1, P2).Result() - gt.Exp(e0, e0, c) - if !e0.Equal(e1) { - t.Fatal("bad pairing, 1") - } - } - // e(a * G1, b * G2) = e((a + b) * G1, G2) - { - // scalars - a, b := big.NewInt(17), big.NewInt(117) - c := new(big.Int).Mul(a, b) - // LHS - G1, G2 := g1.One(), g2.One() - g1.MulScalar(G1, G1, c) - bls.AddPair(G1, G2) - // RHS - P1, P2 := g1.One(), g2.One() - g1.MulScalar(P1, P1, a) - g2.MulScalar(P2, P2, b) - bls.AddPairInv(P1, P2) - // should be one - if !bls.Check() { - t.Fatal("bad pairing, 2") - } - } - // e(a * G1, b * G2) = e((a + b) * G1, G2) - { - // scalars - a, b := big.NewInt(17), big.NewInt(117) - c := new(big.Int).Mul(a, b) - // LHS - G1, G2 := g1.One(), g2.One() - g2.MulScalar(G2, G2, c) - bls.AddPair(G1, G2) - // RHS - H1, H2 := g1.One(), g2.One() - g1.MulScalar(H1, H1, a) - g2.MulScalar(H2, H2, b) - bls.AddPairInv(H1, H2) - // should be one - if !bls.Check() { - t.Fatal("bad pairing, 3") - } - } -} - -func TestPairingMulti(t *testing.T) { - // e(G1, G2) ^ t == e(a01 * G1, a02 * G2) * e(a11 * G1, a12 * G2) * ... * e(an1 * G1, an2 * G2) - // where t = sum(ai1 * ai2) - bls := NewPairingEngine() - g1, g2 := bls.G1, bls.G2 - numOfPair := 100 - targetExp := new(big.Int) - // RHS - for i := 0; i < numOfPair; i++ { - // (ai1 * G1, ai2 * G2) - a1, a2 := randScalar(q), randScalar(q) - P1, P2 := g1.One(), g2.One() - g1.MulScalar(P1, P1, a1) - g2.MulScalar(P2, P2, a2) - bls.AddPair(P1, P2) - // accumulate targetExp - // t += (ai1 * ai2) - a1.Mul(a1, a2) - targetExp.Add(targetExp, a1) - } - // LHS - // e(t * G1, G2) - T1, T2 := g1.One(), g2.One() - g1.MulScalar(T1, T1, targetExp) - bls.AddPairInv(T1, T2) - if !bls.Check() { - t.Fatal("fail multi pairing") - } -} - -func TestPairingEmpty(t *testing.T) { - bls := NewPairingEngine() - if !bls.Check() { - t.Fatal("empty check should be accepted") - } - if !bls.Result().IsOne() { - t.Fatal("empty pairing result should be one") - } -} - -func BenchmarkPairing(t *testing.B) { - bls := NewPairingEngine() - g1, g2, gt := bls.G1, bls.G2, bls.GT() - bls.AddPair(g1.One(), g2.One()) - e := gt.New() - t.ResetTimer() - for i := 0; i < t.N; i++ { - e = bls.calculate() - } - _ = e -} diff --git a/crypto/bls12381/swu.go b/crypto/bls12381/swu.go deleted file mode 100644 index e78753b240..0000000000 --- a/crypto/bls12381/swu.go +++ /dev/null @@ -1,158 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -// swuMapG1 is implementation of Simplified Shallue-van de Woestijne-Ulas Method -// follows the implementation at draft-irtf-cfrg-hash-to-curve-06. -func swuMapG1(u *fe) (*fe, *fe) { - var params = swuParamsForG1 - var tv [4]*fe - for i := 0; i < 4; i++ { - tv[i] = new(fe) - } - square(tv[0], u) - mul(tv[0], tv[0], params.z) - square(tv[1], tv[0]) - x1 := new(fe) - add(x1, tv[0], tv[1]) - inverse(x1, x1) - e1 := x1.isZero() - one := new(fe).one() - add(x1, x1, one) - if e1 { - x1.set(params.zInv) - } - mul(x1, x1, params.minusBOverA) - gx1 := new(fe) - square(gx1, x1) - add(gx1, gx1, params.a) - mul(gx1, gx1, x1) - add(gx1, gx1, params.b) - x2 := new(fe) - mul(x2, tv[0], x1) - mul(tv[1], tv[0], tv[1]) - gx2 := new(fe) - mul(gx2, gx1, tv[1]) - e2 := !isQuadraticNonResidue(gx1) - x, y2 := new(fe), new(fe) - if e2 { - x.set(x1) - y2.set(gx1) - } else { - x.set(x2) - y2.set(gx2) - } - y := new(fe) - sqrt(y, y2) - if y.sign() != u.sign() { - neg(y, y) - } - return x, y -} - -// swuMapG2 is implementation of Simplified Shallue-van de Woestijne-Ulas Method -// defined at draft-irtf-cfrg-hash-to-curve-06. -func swuMapG2(e *fp2, u *fe2) (*fe2, *fe2) { - if e == nil { - e = newFp2() - } - params := swuParamsForG2 - var tv [4]*fe2 - for i := 0; i < 4; i++ { - tv[i] = e.new() - } - e.square(tv[0], u) - e.mul(tv[0], tv[0], params.z) - e.square(tv[1], tv[0]) - x1 := e.new() - e.add(x1, tv[0], tv[1]) - e.inverse(x1, x1) - e1 := x1.isZero() - e.add(x1, x1, e.one()) - if e1 { - x1.set(params.zInv) - } - e.mul(x1, x1, params.minusBOverA) - gx1 := e.new() - e.square(gx1, x1) - e.add(gx1, gx1, params.a) - e.mul(gx1, gx1, x1) - e.add(gx1, gx1, params.b) - x2 := e.new() - e.mul(x2, tv[0], x1) - e.mul(tv[1], tv[0], tv[1]) - gx2 := e.new() - e.mul(gx2, gx1, tv[1]) - e2 := !e.isQuadraticNonResidue(gx1) - x, y2 := e.new(), e.new() - if e2 { - x.set(x1) - y2.set(gx1) - } else { - x.set(x2) - y2.set(gx2) - } - y := e.new() - e.sqrt(y, y2) - if y.sign() != u.sign() { - e.neg(y, y) - } - return x, y -} - -var swuParamsForG1 = struct { - z *fe - zInv *fe - a *fe - b *fe - minusBOverA *fe -}{ - a: &fe{0x2f65aa0e9af5aa51, 0x86464c2d1e8416c3, 0xb85ce591b7bd31e2, 0x27e11c91b5f24e7c, 0x28376eda6bfc1835, 0x155455c3e5071d85}, - b: &fe{0xfb996971fe22a1e0, 0x9aa93eb35b742d6f, 0x8c476013de99c5c4, 0x873e27c3a221e571, 0xca72b5e45a52d888, 0x06824061418a386b}, - z: &fe{0x886c00000023ffdc, 0x0f70008d3090001d, 0x77672417ed5828c3, 0x9dac23e943dc1740, 0x50553f1b9c131521, 0x078c712fbe0ab6e8}, - zInv: &fe{0x0e8a2e8ba2e83e10, 0x5b28ba2ca4d745d1, 0x678cd5473847377a, 0x4c506dd8a8076116, 0x9bcb227d79284139, 0x0e8d3154b0ba099a}, - minusBOverA: &fe{0x052583c93555a7fe, 0x3b40d72430f93c82, 0x1b75faa0105ec983, 0x2527e7dc63851767, 0x99fffd1f34fc181d, 0x097cab54770ca0d3}, -} - -var swuParamsForG2 = struct { - z *fe2 - zInv *fe2 - a *fe2 - b *fe2 - minusBOverA *fe2 -}{ - a: &fe2{ - fe{0, 0, 0, 0, 0, 0}, - fe{0xe53a000003135242, 0x01080c0fdef80285, 0xe7889edbe340f6bd, 0x0b51375126310601, 0x02d6985717c744ab, 0x1220b4e979ea5467}, - }, - b: &fe2{ - fe{0x22ea00000cf89db2, 0x6ec832df71380aa4, 0x6e1b94403db5a66e, 0x75bf3c53a79473ba, 0x3dd3a569412c0a34, 0x125cdb5e74dc4fd1}, - fe{0x22ea00000cf89db2, 0x6ec832df71380aa4, 0x6e1b94403db5a66e, 0x75bf3c53a79473ba, 0x3dd3a569412c0a34, 0x125cdb5e74dc4fd1}, - }, - z: &fe2{ - fe{0x87ebfffffff9555c, 0x656fffe5da8ffffa, 0x0fd0749345d33ad2, 0xd951e663066576f4, 0xde291a3d41e980d3, 0x0815664c7dfe040d}, - fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206}, - }, - zInv: &fe2{ - fe{0xacd0000000011110, 0x9dd9999dc88ccccd, 0xb5ca2ac9b76352bf, 0xf1b574bcf4bc90ce, 0x42dab41f28a77081, 0x132fc6ac14cd1e12}, - fe{0xe396ffffffff2223, 0x4fbf332fcd0d9998, 0x0c4bbd3c1aff4cc4, 0x6b9c91267926ca58, 0x29ae4da6aef7f496, 0x10692e942f195791}, - }, - minusBOverA: &fe2{ - fe{0x903c555555474fb3, 0x5f98cc95ce451105, 0x9f8e582eefe0fade, 0xc68946b6aebbd062, 0x467a4ad10ee6de53, 0x0e7146f483e23a05}, - fe{0x29c2aaaaaab85af8, 0xbf133368e30eeefa, 0xc7a27a7206cffb45, 0x9dee04ce44c9425c, 0x04a15ce53464ce83, 0x0b8fcaf5b59dac95}, - }, -} diff --git a/crypto/bls12381/utils.go b/crypto/bls12381/utils.go deleted file mode 100644 index de8bf495fe..0000000000 --- a/crypto/bls12381/utils.go +++ /dev/null @@ -1,45 +0,0 @@ -// Copyright 2020 The go-ethereum Authors -// This file is part of the go-ethereum library. -// -// The go-ethereum library is free software: you can redistribute it and/or modify -// it under the terms of the GNU Lesser General Public License as published by -// the Free Software Foundation, either version 3 of the License, or -// (at your option) any later version. -// -// The go-ethereum library is distributed in the hope that it will be useful, -// but WITHOUT ANY WARRANTY; without even the implied warranty of -// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -// GNU Lesser General Public License for more details. -// -// You should have received a copy of the GNU Lesser General Public License -// along with the go-ethereum library. If not, see . - -package bls12381 - -import ( - "errors" - "math/big" - - "github.com/ethereum/go-ethereum/common" -) - -func bigFromHex(hex string) *big.Int { - return new(big.Int).SetBytes(common.FromHex(hex)) -} - -// decodeFieldElement expects 64 byte input with zero top 16 bytes, -// returns lower 48 bytes. -func decodeFieldElement(in []byte) ([]byte, error) { - if len(in) != 64 { - return nil, errors.New("invalid field element length") - } - // check top bytes - for i := 0; i < 16; i++ { - if in[i] != byte(0x00) { - return nil, errors.New("invalid field element top bytes") - } - } - out := make([]byte, 48) - copy(out[:], in[16:]) - return out, nil -} diff --git a/oss-fuzz.sh b/oss-fuzz.sh index 8978de70dd..7993dc9c64 100644 --- a/oss-fuzz.sh +++ b/oss-fuzz.sh @@ -208,6 +208,14 @@ compile_fuzzer github.com/ethereum/go-ethereum/tests/fuzzers/bls12381 \ FuzzCrossPairing fuzz_cross_pairing\ $repo/tests/fuzzers/bls12381/bls12381_test.go +compile_fuzzer github.com/ethereum/go-ethereum/tests/fuzzers/bls12381 \ + FuzzG1SubgroupChecks fuzz_g1_subgroup_checks\ + $repo/tests/fuzzers/bls12381/bls12381_test.go + +compile_fuzzer github.com/ethereum/go-ethereum/tests/fuzzers/bls12381 \ + FuzzG2SubgroupChecks fuzz_g2_subgroup_checks\ + $repo/tests/fuzzers/bls12381/bls12381_test.go + compile_fuzzer github.com/ethereum/go-ethereum/tests/fuzzers/secp256k1 \ Fuzz fuzzSecp256k1\ $repo/tests/fuzzers/secp256k1/secp_test.go diff --git a/params/protocol_params.go b/params/protocol_params.go index 4e01b80970..863cf58ece 100644 --- a/params/protocol_params.go +++ b/params/protocol_params.go @@ -150,14 +150,14 @@ const ( Bn256PairingPerPointGasByzantium uint64 = 80000 // Byzantium per-point price for an elliptic curve pairing check Bn256PairingPerPointGasIstanbul uint64 = 34000 // Per-point price for an elliptic curve pairing check - Bls12381G1AddGas uint64 = 600 // Price for BLS12-381 elliptic curve G1 point addition - Bls12381G1MulGas uint64 = 12000 // Price for BLS12-381 elliptic curve G1 point scalar multiplication - Bls12381G2AddGas uint64 = 4500 // Price for BLS12-381 elliptic curve G2 point addition - Bls12381G2MulGas uint64 = 55000 // Price for BLS12-381 elliptic curve G2 point scalar multiplication - Bls12381PairingBaseGas uint64 = 115000 // Base gas price for BLS12-381 elliptic curve pairing check - Bls12381PairingPerPairGas uint64 = 23000 // Per-point pair gas price for BLS12-381 elliptic curve pairing check - Bls12381MapG1Gas uint64 = 5500 // Gas price for BLS12-381 mapping field element to G1 operation - Bls12381MapG2Gas uint64 = 110000 // Gas price for BLS12-381 mapping field element to G2 operation + Bls12381G1AddGas uint64 = 500 // Price for BLS12-381 elliptic curve G1 point addition + Bls12381G1MulGas uint64 = 12000 // Price for BLS12-381 elliptic curve G1 point scalar multiplication + Bls12381G2AddGas uint64 = 800 // Price for BLS12-381 elliptic curve G2 point addition + Bls12381G2MulGas uint64 = 45000 // Price for BLS12-381 elliptic curve G2 point scalar multiplication + Bls12381PairingBaseGas uint64 = 65000 // Base gas price for BLS12-381 elliptic curve pairing check + Bls12381PairingPerPairGas uint64 = 43000 // Per-point pair gas price for BLS12-381 elliptic curve pairing check + Bls12381MapG1Gas uint64 = 5500 // Gas price for BLS12-381 mapping field element to G1 operation + Bls12381MapG2Gas uint64 = 75000 // Gas price for BLS12-381 mapping field element to G2 operation // The Refund Quotient is the cap on how much of the used gas can be refunded. Before EIP-3529, // up to half the consumed gas could be refunded. Redefined as 1/5th in EIP-3529 diff --git a/tests/fuzzers/bls12381/bls12381_fuzz.go b/tests/fuzzers/bls12381/bls12381_fuzz.go index 9a5c566540..4efc749b6f 100644 --- a/tests/fuzzers/bls12381/bls12381_fuzz.go +++ b/tests/fuzzers/bls12381/bls12381_fuzz.go @@ -31,10 +31,46 @@ import ( "github.com/consensys/gnark-crypto/ecc/bls12-381/fp" "github.com/consensys/gnark-crypto/ecc/bls12-381/fr" "github.com/ethereum/go-ethereum/common" - "github.com/ethereum/go-ethereum/crypto/bls12381" + bls12381 "github.com/kilic/bls12-381" blst "github.com/supranational/blst/bindings/go" ) +func fuzzG1SubgroupChecks(data []byte) int { + input := bytes.NewReader(data) + kpG1, cpG1, blG1, err := getG1Points(input) + if err != nil { + return 0 + } + inSubGroupKilic := bls12381.NewG1().InCorrectSubgroup(kpG1) + inSubGroupGnark := cpG1.IsInSubGroup() + inSubGroupBLST := blG1.InG1() + if inSubGroupKilic != inSubGroupGnark { + panic(fmt.Sprintf("differing subgroup check, kilic %v, gnark %v", inSubGroupKilic, inSubGroupGnark)) + } + if inSubGroupKilic != inSubGroupBLST { + panic(fmt.Sprintf("differing subgroup check, kilic %v, blst %v", inSubGroupKilic, inSubGroupBLST)) + } + return 1 +} + +func fuzzG2SubgroupChecks(data []byte) int { + input := bytes.NewReader(data) + kpG2, cpG2, blG2, err := getG2Points(input) + if err != nil { + return 0 + } + inSubGroupKilic := bls12381.NewG2().InCorrectSubgroup(kpG2) + inSubGroupGnark := cpG2.IsInSubGroup() + inSubGroupBLST := blG2.InG2() + if inSubGroupKilic != inSubGroupGnark { + panic(fmt.Sprintf("differing subgroup check, kilic %v, gnark %v", inSubGroupKilic, inSubGroupGnark)) + } + if inSubGroupKilic != inSubGroupBLST { + panic(fmt.Sprintf("differing subgroup check, kilic %v, blst %v", inSubGroupKilic, inSubGroupBLST)) + } + return 1 +} + func fuzzCrossPairing(data []byte) int { input := bytes.NewReader(data) @@ -51,7 +87,7 @@ func fuzzCrossPairing(data []byte) int { } // compute pairing using geth - engine := bls12381.NewPairingEngine() + engine := bls12381.NewEngine() engine.AddPair(kpG1, kpG2) kResult := engine.Result() @@ -180,7 +216,7 @@ func fuzzCrossG2Add(data []byte) int { func fuzzCrossG1MultiExp(data []byte) int { var ( input = bytes.NewReader(data) - gethScalars []*big.Int + gethScalars []*bls12381.Fr gnarkScalars []fr.Element gethPoints []*bls12381.PointG1 gnarkPoints []gnark.G1Affine @@ -197,7 +233,7 @@ func fuzzCrossG1MultiExp(data []byte) int { if err != nil { break } - gethScalars = append(gethScalars, s) + gethScalars = append(gethScalars, bls12381.NewFr().FromBytes(s.Bytes())) var gnarkScalar = &fr.Element{} gnarkScalar = gnarkScalar.SetBigInt(s) gnarkScalars = append(gnarkScalars, *gnarkScalar) diff --git a/tests/fuzzers/bls12381/bls12381_test.go b/tests/fuzzers/bls12381/bls12381_test.go index 3e88979d16..fd782f7813 100644 --- a/tests/fuzzers/bls12381/bls12381_test.go +++ b/tests/fuzzers/bls12381/bls12381_test.go @@ -98,3 +98,15 @@ func FuzzMapG2(f *testing.F) { fuzz(blsMapG2, data) }) } + +func FuzzG1SubgroupChecks(f *testing.F) { + f.Fuzz(func(t *testing.T, data []byte) { + fuzzG1SubgroupChecks(data) + }) +} + +func FuzzG2SubgroupChecks(f *testing.F) { + f.Fuzz(func(t *testing.T, data []byte) { + fuzzG2SubgroupChecks(data) + }) +}