From 630287b3e12d22464c4e91a4cf8c1c33976b4649 Mon Sep 17 00:00:00 2001 From: Thomas Piellard Date: Fri, 29 Sep 2023 12:21:55 +0200 Subject: [PATCH 1/7] fix: fixed ExpGLV in GT --- ecc/bls12-377/internal/fptower/e12.go | 7 +++- ecc/bls12-377/pairing_test.go | 33 +++++++++++++++++ ecc/bls12-378/internal/fptower/e12.go | 7 +++- ecc/bls12-378/pairing_test.go | 33 +++++++++++++++++ ecc/bls12-381/internal/fptower/e12.go | 7 +++- ecc/bls12-381/pairing_test.go | 33 +++++++++++++++++ ecc/bls24-315/pairing_test.go | 33 +++++++++++++++++ ecc/bls24-317/pairing_test.go | 33 +++++++++++++++++ ecc/bn254/internal/fptower/e12.go | 7 +++- ecc/bn254/pairing_test.go | 33 +++++++++++++++++ ecc/utils.go | 14 ++++++++ .../pairing/template/tests/pairing.go.tmpl | 35 +++++++++++++++++++ .../template/fq12over6over2/fq12.go.tmpl | 7 +++- 13 files changed, 277 insertions(+), 5 deletions(-) diff --git a/ecc/bls12-377/internal/fptower/e12.go b/ecc/bls12-377/internal/fptower/e12.go index d2de48d6b3..5f24793721 100644 --- a/ecc/bls12-377/internal/fptower/e12.go +++ b/ecc/bls12-377/internal/fptower/e12.go @@ -579,7 +579,12 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - s := ecc.SplitScalar(e, &glvBasis) + var s [2]big.Int + if e.Cmp(fr.Modulus()) != -1 { + s = ecc.SplitScalar(e, &glvBasis) + } else { + s = ecc.SplitScalarSmall(e, &glvBasis) + } if s[0].Sign() == -1 { s[0].Neg(&s[0]) diff --git a/ecc/bls12-377/pairing_test.go b/ecc/bls12-377/pairing_test.go index cd9a00d5f9..ba31f3ca48 100644 --- a/ecc/bls12-377/pairing_test.go +++ b/ecc/bls12-377/pairing_test.go @@ -64,6 +64,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BLS12-377] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/bls12-378/internal/fptower/e12.go b/ecc/bls12-378/internal/fptower/e12.go index 536837999c..7665616e1a 100644 --- a/ecc/bls12-378/internal/fptower/e12.go +++ b/ecc/bls12-378/internal/fptower/e12.go @@ -579,7 +579,12 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - s := ecc.SplitScalar(e, &glvBasis) + var s [2]big.Int + if e.Cmp(fr.Modulus()) != -1 { + s = ecc.SplitScalar(e, &glvBasis) + } else { + s = ecc.SplitScalarSmall(e, &glvBasis) + } if s[0].Sign() == -1 { s[0].Neg(&s[0]) diff --git a/ecc/bls12-378/pairing_test.go b/ecc/bls12-378/pairing_test.go index c253704653..50afad8b1d 100644 --- a/ecc/bls12-378/pairing_test.go +++ b/ecc/bls12-378/pairing_test.go @@ -64,6 +64,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BLS12-378] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/bls12-381/internal/fptower/e12.go b/ecc/bls12-381/internal/fptower/e12.go index 1ccfa6c70a..3fb7f7b531 100644 --- a/ecc/bls12-381/internal/fptower/e12.go +++ b/ecc/bls12-381/internal/fptower/e12.go @@ -579,7 +579,12 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - s := ecc.SplitScalar(e, &glvBasis) + var s [2]big.Int + if e.Cmp(fr.Modulus()) != -1 { + s = ecc.SplitScalar(e, &glvBasis) + } else { + s = ecc.SplitScalarSmall(e, &glvBasis) + } if s[0].Sign() == -1 { s[0].Neg(&s[0]) diff --git a/ecc/bls12-381/pairing_test.go b/ecc/bls12-381/pairing_test.go index b864d1c798..fdaad95aad 100644 --- a/ecc/bls12-381/pairing_test.go +++ b/ecc/bls12-381/pairing_test.go @@ -64,6 +64,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BLS12-381] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/bls24-315/pairing_test.go b/ecc/bls24-315/pairing_test.go index a197a7490b..000a0714f1 100644 --- a/ecc/bls24-315/pairing_test.go +++ b/ecc/bls24-315/pairing_test.go @@ -65,6 +65,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BLS24-315] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/bls24-317/pairing_test.go b/ecc/bls24-317/pairing_test.go index 8d98e93cab..0b63a60d66 100644 --- a/ecc/bls24-317/pairing_test.go +++ b/ecc/bls24-317/pairing_test.go @@ -65,6 +65,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BLS24-317] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/bn254/internal/fptower/e12.go b/ecc/bn254/internal/fptower/e12.go index 29093174b5..044e308b0c 100644 --- a/ecc/bn254/internal/fptower/e12.go +++ b/ecc/bn254/internal/fptower/e12.go @@ -579,7 +579,12 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - s := ecc.SplitScalar(e, &glvBasis) + var s [2]big.Int + if e.Cmp(fr.Modulus()) != -1 { + s = ecc.SplitScalar(e, &glvBasis) + } else { + s = ecc.SplitScalarSmall(e, &glvBasis) + } if s[0].Sign() == -1 { s[0].Neg(&s[0]) diff --git a/ecc/bn254/pairing_test.go b/ecc/bn254/pairing_test.go index 050e4e50b2..3bc792ec9b 100644 --- a/ecc/bn254/pairing_test.go +++ b/ecc/bn254/pairing_test.go @@ -64,6 +64,39 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + properties.Property("[BN254] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/ecc/utils.go b/ecc/utils.go index 78126fc1cc..335c39c42d 100644 --- a/ecc/utils.go +++ b/ecc/utils.go @@ -140,6 +140,20 @@ func PrecomputeLattice(r, lambda *big.Int, res *Lattice) { // cf https://www.iacr.org/archive/crypto2001/21390189.pdf func SplitScalar(s *big.Int, l *Lattice) [2]big.Int { + var k1, k2 big.Int + k1.Mul(&l.V2[1], s) + k2.Mul(&l.V1[1], s).Neg(&k2) + rounding(&k1, &l.Det, &k1) + rounding(&k2, &l.Det, &k2) + + v := getVector(l, &k1, &k2) + v[0].Sub(s, &v[0]) + v[1].Neg(&v[1]) + return v +} + +func SplitScalarSmall(s *big.Int, l *Lattice) [2]big.Int { + var k1, k2 big.Int k1.Mul(s, &l.b1) k2.Mul(s, &l.b2).Neg(&k2) diff --git a/internal/generator/pairing/template/tests/pairing.go.tmpl b/internal/generator/pairing/template/tests/pairing.go.tmpl index 6f875e6751..415ce266d2 100644 --- a/internal/generator/pairing/template/tests/pairing.go.tmpl +++ b/internal/generator/pairing/template/tests/pairing.go.tmpl @@ -52,6 +52,41 @@ func TestPairing(t *testing.T) { genA, )) + {{if not (or ( or (eq .Name "bw6-761") (eq .Name "bw6-633")) (eq .Name "bw6-756") ) }} + properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + func(a GT, e fr.Element, ) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = b.Equal(&c) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + res = res && b.Equal(&c) + } + + return res + }, + GenE12(), + GenFr(), + )) + {{ end }} + properties.Property("[{{ toUpper .Name}}] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( func(a GT, e fp.Element) bool { a = FinalExponentiation(&a) diff --git a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl index 6a5eb49124..14cda7f223 100644 --- a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl +++ b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl @@ -556,7 +556,12 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - s := ecc.SplitScalar(e, &glvBasis) + var s [2]big.Int + if e.Cmp(fr.Modulus()) != -1 { + s = ecc.SplitScalar(e, &glvBasis) + } else { + s = ecc.SplitScalarSmall(e, &glvBasis) + } if s[0].Sign() == -1 { s[0].Neg(&s[0]) From 618c1a6124b4ad49917b888e568da2239898d4e3 Mon Sep 17 00:00:00 2001 From: Thomas Piellard Date: Fri, 29 Sep 2023 13:52:22 +0200 Subject: [PATCH 2/7] fix: fixed mulWindowed for negative exponents --- ecc/bls12-377/g1.go | 16 +- ecc/bls12-377/g2.go | 9 +- ecc/bls12-377/internal/fptower/e12.go | 4 +- ecc/bls12-378/g1.go | 16 +- ecc/bls12-378/g2.go | 9 +- ecc/bls12-378/internal/fptower/e12.go | 4 +- ecc/bls12-381/g1.go | 16 +- ecc/bls12-381/g1_test.go | 33 +- ecc/bls12-381/g2.go | 9 +- ecc/bls12-381/internal/fptower/e12.go | 4 +- ecc/bls12-381/playground/main.go | 35 + ecc/bls24-315/g1.go | 16 +- ecc/bls24-315/g2.go | 9 +- ecc/bls24-317/g1.go | 16 +- ecc/bls24-317/g2.go | 9 +- ecc/bn254/fr/swifft/swifft.go | 374 + ecc/bn254/fr/swifft/swifft.sage | 271 + ecc/bn254/fr/swifft/swifft_test.go | 458 + ecc/bn254/fr/swifft/test_cases.json | 117269 +++++++++++++++ ecc/bn254/fr/swifft/utils.tmp | 266 + ecc/bn254/g1.go | 16 +- ecc/bn254/g2.go | 9 +- ecc/bn254/internal/fptower/e12.go | 4 +- ecc/bw6-633/g1.go | 16 +- ecc/bw6-633/g2.go | 9 +- ecc/bw6-756/g1.go | 16 +- ecc/bw6-756/g2.go | 9 +- ecc/bw6-761/g1.go | 16 +- ecc/bw6-761/g2.go | 9 +- ecc/secp256k1/g1.go | 16 +- ecc/utils.go | 4 +- internal/generator/ecc/template/point.go.tmpl | 20 +- .../template/fq12over6over2/fq12.go.tmpl | 4 +- 33 files changed, 118957 insertions(+), 34 deletions(-) create mode 100644 ecc/bls12-381/playground/main.go create mode 100644 ecc/bn254/fr/swifft/swifft.go create mode 100644 ecc/bn254/fr/swifft/swifft.sage create mode 100644 ecc/bn254/fr/swifft/swifft_test.go create mode 100644 ecc/bn254/fr/swifft/test_cases.json create mode 100644 ecc/bn254/fr/swifft/utils.tmp diff --git a/ecc/bls12-377/g1.go b/ecc/bls12-377/g1.go index 17ea4160f1..eadc78c0b9 100644 --- a/ecc/bls12-377/g1.go +++ b/ecc/bls12-377/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -421,8 +428,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-377/g2.go b/ecc/bls12-377/g2.go index 0f06e46fad..990d7e85db 100644 --- a/ecc/bls12-377/g2.go +++ b/ecc/bls12-377/g2.go @@ -403,8 +403,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-377/internal/fptower/e12.go b/ecc/bls12-377/internal/fptower/e12.go index 5f24793721..c051e72cbb 100644 --- a/ecc/bls12-377/internal/fptower/e12.go +++ b/ecc/bls12-377/internal/fptower/e12.go @@ -581,9 +581,9 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { // split the scalar, modifies ±x, Frob(x) accordingly var s [2]big.Int if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalar(e, &glvBasis) + s = ecc.SplitScalarBig(e, &glvBasis) } else { - s = ecc.SplitScalarSmall(e, &glvBasis) + s = ecc.SplitScalar(e, &glvBasis) } if s[0].Sign() == -1 { diff --git a/ecc/bls12-378/g1.go b/ecc/bls12-378/g1.go index a1e14cf60b..691130592a 100644 --- a/ecc/bls12-378/g1.go +++ b/ecc/bls12-378/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -421,8 +428,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-378/g2.go b/ecc/bls12-378/g2.go index ba6437496f..3764ea0b34 100644 --- a/ecc/bls12-378/g2.go +++ b/ecc/bls12-378/g2.go @@ -403,8 +403,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-378/internal/fptower/e12.go b/ecc/bls12-378/internal/fptower/e12.go index 7665616e1a..0b457a4e81 100644 --- a/ecc/bls12-378/internal/fptower/e12.go +++ b/ecc/bls12-378/internal/fptower/e12.go @@ -581,9 +581,9 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { // split the scalar, modifies ±x, Frob(x) accordingly var s [2]big.Int if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalar(e, &glvBasis) + s = ecc.SplitScalarBig(e, &glvBasis) } else { - s = ecc.SplitScalarSmall(e, &glvBasis) + s = ecc.SplitScalar(e, &glvBasis) } if s[0].Sign() == -1 { diff --git a/ecc/bls12-381/g1.go b/ecc/bls12-381/g1.go index 8eb803c3b2..d24561f770 100644 --- a/ecc/bls12-381/g1.go +++ b/ecc/bls12-381/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -421,8 +428,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-381/g1_test.go b/ecc/bls12-381/g1_test.go index 586d9d6839..b77ac7acc3 100644 --- a/ecc/bls12-381/g1_test.go +++ b/ecc/bls12-381/g1_test.go @@ -12,8 +12,6 @@ // See the License for the specific language governing permissions and // limitations under the License. -// Code generated by consensys/gnark-crypto DO NOT EDIT - package bls12381 import ( @@ -247,6 +245,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulGLV(&gj, &bs).Neg(&op1) + op2.mulGLV(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-381] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bls12-381/g2.go b/ecc/bls12-381/g2.go index 798337382b..d975486e53 100644 --- a/ecc/bls12-381/g2.go +++ b/ecc/bls12-381/g2.go @@ -404,8 +404,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls12-381/internal/fptower/e12.go b/ecc/bls12-381/internal/fptower/e12.go index 3fb7f7b531..482e4639ae 100644 --- a/ecc/bls12-381/internal/fptower/e12.go +++ b/ecc/bls12-381/internal/fptower/e12.go @@ -581,9 +581,9 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { // split the scalar, modifies ±x, Frob(x) accordingly var s [2]big.Int if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalar(e, &glvBasis) + s = ecc.SplitScalarBig(e, &glvBasis) } else { - s = ecc.SplitScalarSmall(e, &glvBasis) + s = ecc.SplitScalar(e, &glvBasis) } if s[0].Sign() == -1 { diff --git a/ecc/bls12-381/playground/main.go b/ecc/bls12-381/playground/main.go new file mode 100644 index 0000000000..7243d488f8 --- /dev/null +++ b/ecc/bls12-381/playground/main.go @@ -0,0 +1,35 @@ +package main + +import ( + "fmt" + + bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381" + "github.com/consensys/gnark-crypto/ecc/bls12-381/fr" +) + +func main() { + + _, _, g, _ := bls12381.Generators() + var gg bls12381.G1Affine + // m := fr.Modulus() + // var r fr.Element + // var rb, u big.Int + // var rb big.Int + //r.SetRandom() + // r.ToBigIntRegular(&rb) + // rb.SetString("", 10) + // u.Mul(m, big.NewInt(123456789)).Add(&u, &rb) + + fmt.Printf("g: %s\n", g.String()) + // fmt.Printf("u: %s\n", rb.String()) + + // gg.ScalarMultiplication(&g, &u) + gg.ScalarMultiplication(&g, fr.Modulus()) + fmt.Printf("%s\n", gg.String()) + ggBytes := gg.RawBytes() + fmt.Printf("size: %d\n", len(ggBytes)) + + fmt.Printf("%x\n", ggBytes[:48]) + fmt.Printf("%x\n", ggBytes[48:]) + +} diff --git a/ecc/bls24-315/g1.go b/ecc/bls24-315/g1.go index 26f0c28fe4..768a64db69 100644 --- a/ecc/bls24-315/g1.go +++ b/ecc/bls24-315/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -423,8 +430,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls24-315/g2.go b/ecc/bls24-315/g2.go index 4b6062206a..f82a90e73a 100644 --- a/ecc/bls24-315/g2.go +++ b/ecc/bls24-315/g2.go @@ -405,8 +405,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls24-317/g1.go b/ecc/bls24-317/g1.go index c6dd46698c..2cc50343e9 100644 --- a/ecc/bls24-317/g1.go +++ b/ecc/bls24-317/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -423,8 +430,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bls24-317/g2.go b/ecc/bls24-317/g2.go index 728ec59b1e..9671b794d3 100644 --- a/ecc/bls24-317/g2.go +++ b/ecc/bls24-317/g2.go @@ -405,8 +405,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bn254/fr/swifft/swifft.go b/ecc/bn254/fr/swifft/swifft.go new file mode 100644 index 0000000000..e05698dc1b --- /dev/null +++ b/ecc/bn254/fr/swifft/swifft.go @@ -0,0 +1,374 @@ +// Copyright 2023 ConsenSys Software Inc. +// +// 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. + +package swifft + +import ( + "bytes" + "encoding/binary" + "errors" + "hash" + "math/big" + "math/bits" + + "github.com/bits-and-blooms/bitset" + "github.com/consensys/gnark-crypto/ecc/bn254/fr" + "github.com/consensys/gnark-crypto/ecc/bn254/fr/fft" + "github.com/consensys/gnark-crypto/internal/parallel" + "golang.org/x/crypto/blake2b" +) + +var ( + ErrNotAPowerOfTwo = errors.New("d must be a power of 2") +) + +// Ring-SIS instance +type RSis struct { + + // buffer storing the data to hash + buffer bytes.Buffer + + // Vectors in ℤ_{p}/Xⁿ+1 + // A[i] is the i-th polynomial. + // Ag the evaluation form of the polynomials in A on the coset √(g) * + A [][]fr.Element + Ag [][]fr.Element + + // LogTwoBound (Infinity norm) of the vector to hash. It means that each component in m + // is < 2^B, where m is the vector to hash (the hash being A*m). + // cf https://hackmd.io/7OODKWQZRRW9RxM5BaXtIw , B >= 3. + LogTwoBound int + + // domain for the polynomial multiplication + Domain *fft.Domain + + // d, the degree of X^{d}+1 + Degree int + + // in bytes, represents the maximum number of bytes the .Write(...) will handle; + // ( maximum number of bytes to sum ) + capacity int + maxNbElementsToHash int + + // allocate memory once per instance (used in Sum()) + bufM, bufRes fr.Vector + bufMValues *bitset.BitSet +} + +// NewRSis creates an instance of RSis. +// seed: seed for the randomness for generating A. +// logTwoDegree: if d := logTwoDegree, the ring will be ℤ_{p}[X]/Xᵈ-1, where X^{2ᵈ} is the 2ᵈ⁺¹-th cyclotomic polynomial +// logTwoBound: the bound of the vector to hash (using the infinity norm). +// maxNbElementsToHash: maximum number of field elements the instance handles +// used to derived n, the number of polynomials in A, and max size of instance's internal buffer. +func NewRSis(seed int64, logTwoDegree, logTwoBound, maxNbElementsToHash int) (*RSis, error) { + + if logTwoBound > 64 { + return nil, errors.New("logTwoBound too large") + } + if bits.UintSize == 32 { + return nil, errors.New("unsupported architecture; need 64bit target") + } + + degree := 1 << logTwoDegree + capacity := maxNbElementsToHash * fr.Bytes + + // n: number of polynomials in A + // len(m) == degree * n + // with each element in m being logTwoBounds bits from the instance buffer. + // that is, to fill m, we need [degree * n * logTwoBound] bits of data + // capacity == [degree * n * logTwoBound] / 8 + // n == (capacity*8)/(degree*logTwoBound) + + // First n <- #limbs to represent a single field element + n := (fr.Bytes * 8) / logTwoBound + if n*logTwoBound < fr.Bytes*8 { + n++ + } + + // Then multiply by the number of field elements + n *= maxNbElementsToHash + + // And divide (+ ceil) to get the number of polynomials + if n%degree == 0 { + n /= degree + } else { + n /= degree // number of polynomials + n++ + } + + // domains (shift is √{gen} ) + var shift fr.Element + shift.SetString("19103219067921713944291392827692070036145651957329286315305642004821462161904") // -> 2²⁸-th root of unity of bn254 + e := int64(1 << (28 - (logTwoDegree + 1))) + shift.Exp(shift, big.NewInt(e)) + + r := &RSis{ + LogTwoBound: logTwoBound, + capacity: capacity, + Degree: degree, + Domain: fft.NewDomain(uint64(degree), shift), + A: make([][]fr.Element, n), + Ag: make([][]fr.Element, n), + bufM: make(fr.Vector, degree*n), + bufRes: make(fr.Vector, degree), + bufMValues: bitset.New(uint(n)), + maxNbElementsToHash: maxNbElementsToHash, + } + + // filling A + a := make([]fr.Element, n*r.Degree) + ag := make([]fr.Element, n*r.Degree) + + parallel.Execute(n, func(start, end int) { + var buf bytes.Buffer + for i := start; i < end; i++ { + rstart, rend := i*r.Degree, (i+1)*r.Degree + r.A[i] = a[rstart:rend:rend] + r.Ag[i] = ag[rstart:rend:rend] + for j := 0; j < r.Degree; j++ { + r.A[i][j] = genRandom(seed, int64(i), int64(j), &buf) + } + + // fill Ag the evaluation form of the polynomials in A on the coset √(g) * + copy(r.Ag[i], r.A[i]) + r.Domain.FFT(r.Ag[i], fft.DIF, fft.OnCoset()) + } + }) + // TODO @gbotrel add nbtasks here; while in tests it's more convenient to parallelize + // in tensor-commitment we may not want to do that. + + return r, nil +} + +func (r *RSis) Write(p []byte) (n int, err error) { + r.buffer.Write(p) + return len(p), nil +} + +// Sum appends the current hash to b and returns the resulting slice. +// It does not change the underlying hash state. +// The instance buffer is interpreted as a sequence of coefficients of size r.Bound bits long. +// The function returns the hash of the polynomial as a a sequence []fr.Elements, interpreted as []bytes, +// corresponding to sum_i A[i]*m Mod X^{d}+1 +func (r *RSis) Sum(b []byte) []byte { + buf := r.buffer.Bytes() + if len(buf) > r.capacity { + panic("buffer too large") + } + + // clear the buffers of the instance. + defer r.cleanupBuffers() + + m := r.bufM + mValues := r.bufMValues + limbDecomposeBytes(buf, m, r.LogTwoBound, r.Degree, mValues) + + // we can hash now. + res := r.bufRes + + // method 1: fft + for i := 0; i < len(r.Ag); i++ { + if !mValues.Test(uint(i)) { + // means m[i*r.Degree : (i+1)*r.Degree] == [0...0] + // we can skip this, FFT(0) = 0 + continue + } + k := m[i*r.Degree : (i+1)*r.Degree] + r.Domain.FFT(k, fft.DIF, fft.OnCoset(), fft.WithNbTasks(1)) + mulModAcc(res, r.Ag[i], k) + } + r.Domain.FFTInverse(res, fft.DIT, fft.OnCoset(), fft.WithNbTasks(1)) // -> reduces mod Xᵈ+1 + + resBytes, err := res.MarshalBinary() + if err != nil { + panic(err) + } + + return append(b, resBytes[4:]...) // first 4 bytes are uint32(len(res)) +} + +// Reset resets the Hash to its initial state. +func (r *RSis) Reset() { + r.buffer.Reset() +} + +// Size returns the number of bytes Sum will return. +func (r *RSis) Size() int { + + // The size in bits is the size in bits of a polynomial in A. + degree := len(r.A[0]) + totalSize := degree * fr.Modulus().BitLen() / 8 + + return totalSize +} + +// BlockSize returns the hash's underlying block size. +// The Write method must be able to accept any amount +// of data, but it may operate more efficiently if all writes +// are a multiple of the block size. +func (r *RSis) BlockSize() int { + return 0 +} + +// Construct a hasher generator. It takes as input the same parameters +// as `NewRingSIS` and outputs a function which returns fresh hasher +// everytime it is called +func NewRingSISMaker(seed int64, logTwoDegree, logTwoBound, maxNbElementsToHash int) (func() hash.Hash, error) { + return func() hash.Hash { + h, err := NewRSis(seed, logTwoDegree, logTwoBound, maxNbElementsToHash) + if err != nil { + panic(err) + } + return h + }, nil + +} + +func genRandom(seed, i, j int64, buf *bytes.Buffer) fr.Element { + + buf.Reset() + buf.WriteString("SIS") + binary.Write(buf, binary.BigEndian, seed) + binary.Write(buf, binary.BigEndian, i) + binary.Write(buf, binary.BigEndian, j) + + digest := blake2b.Sum256(buf.Bytes()) + + var res fr.Element + res.SetBytes(digest[:]) + + return res +} + +// mulMod computes p * q in ℤ_{p}[X]/Xᵈ+1. +// Is assumed that pLagrangeShifted and qLagrangeShifted are of the correct sizes +// and that they are in evaluation form on √(g) * +// The result is not FFTinversed. The fft inverse is done once every +// multiplications are done. +func mulMod(pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) []fr.Element { + + res := make([]fr.Element, len(pLagrangeCosetBitReversed)) + for i := 0; i < len(pLagrangeCosetBitReversed); i++ { + res[i].Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) + } + + // NOT fft inv for now, wait until every part of the keys have been multiplied + // r.Domain.FFTInverse(res, fft.DIT, true) + + return res + +} + +// mulMod + accumulate in res. +func mulModAcc(res []fr.Element, pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) { + var t fr.Element + for i := 0; i < len(pLagrangeCosetBitReversed); i++ { + t.Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) + res[i].Add(&res[i], &t) + } +} + +// Returns a clone of the RSis parameters with a fresh and empty buffer. Does not +// mutate the current instance. The keys and the public parameters of the SIS +// instance are not deep-copied. It is useful when we want to hash in parallel. +// Otherwise, we would have to generate an entire RSis for each thread. +func (r *RSis) CopyWithFreshBuffer() RSis { + res := *r + res.buffer = bytes.Buffer{} + res.bufM = make(fr.Vector, len(r.bufM)) + res.bufMValues = bitset.New(r.bufMValues.Len()) + res.bufRes = make(fr.Vector, len(r.bufRes)) + return res +} + +// Cleanup the buffers of the RSis instance +func (r *RSis) cleanupBuffers() { + r.bufMValues.ClearAll() + for i := 0; i < len(r.bufM); i++ { + r.bufM[i].SetZero() + } + for i := 0; i < len(r.bufRes); i++ { + r.bufRes[i].SetZero() + } +} + +// Split an slice of bytes representing an array of serialized field element in +// big-endian form into an array of limbs representing the same field elements +// in little-endian form. Namely, if our field is represented with 64 bits and we +// have the following field element 0x0123456789abcdef (0 being the most significant +// character and and f being the least significant one) and our log norm bound is +// 16 (so 1 hex character = 1 limb). The function assigns the values of m to [f, e, +// d, c, b, a, ..., 3, 2, 1, 0]. m should be preallocated and zeroized. Additionally, +// we have the guarantee that 2 bits contributing to different field elements cannot +// be part of the same limb. +func LimbDecomposeBytes(buf []byte, m fr.Vector, logTwoBound int) { + limbDecomposeBytes(buf, m, logTwoBound, 0, nil) +} + +// Split an slice of bytes representing an array of serialized field element in +// big-endian form into an array of limbs representing the same field elements +// in little-endian form. Namely, if our field is represented with 64 bits and we +// have the following field element 0x0123456789abcdef (0 being the most significant +// character and and f being the least significant one) and our log norm bound is +// 16 (so 1 hex character = 1 limb). The function assigns the values of m to [f, e, +// d, c, b, a, ..., 3, 2, 1, 0]. m should be preallocated and zeroized. mValues is +// an optional bitSet. If provided, it must be empty. The function will set bit "i" +// to indicate the that i-th SIS input polynomial should be non-zero. Recall, that a +// SIS polynomial corresponds to a chunk of limbs of size `degree`. Additionally, +// we have the guarantee that 2 bits contributing to different field elements cannot +// be part of the same limb. +func limbDecomposeBytes(buf []byte, m fr.Vector, logTwoBound, degree int, mValues *bitset.BitSet) { + + // bitwise decomposition of the buffer, in order to build m (the vector to hash) + // as a list of polynomials, whose coefficients are less than r.B bits long. + // Say buf=[0xbe,0x0f]. As a stream of bits it is interpreted like this: + // 10111110 00001111. BitAt(0)=1 (=leftmost bit), bitAt(1)=0 (=second leftmost bit), etc. + nbBits := len(buf) * 8 + bitAt := func(i int) uint8 { + k := i / 8 + if k >= len(buf) { + return 0 + } + b := buf[k] + j := i % 8 + return b >> (7 - j) & 1 + } + + // we process the input buffer by blocks of r.LogTwoBound bits + // each of these block (<< 64bits) are interpreted as a coefficient + mPos := 0 + for fieldStart := 0; fieldStart < nbBits; { + for bitInField := 0; bitInField < fr.Bytes*8; { + + j := bitInField % logTwoBound + + // r.LogTwoBound < 64; we just use the first word of our element here, + // and set the bits from LSB to MSB. + at := fieldStart + fr.Bytes*8 - bitInField - 1 + m[mPos][0] |= uint64(bitAt(at) << j) + bitInField++ + + // Check if mPos is zero and mark as non-zero in the bitset if not + if m[mPos][0] > 0 && mValues != nil { + mValues.Set(uint(mPos / degree)) + } + + if j == logTwoBound-1 || bitInField == fr.Bytes*8 { + mPos++ + } + } + fieldStart += fr.Bytes * 8 + } +} diff --git a/ecc/bn254/fr/swifft/swifft.sage b/ecc/bn254/fr/swifft/swifft.sage new file mode 100644 index 0000000000..29fe873ca5 --- /dev/null +++ b/ecc/bn254/fr/swifft/swifft.sage @@ -0,0 +1,271 @@ +## "sage sis.sage" will generate test_cases.json +## tested with a fresh sage install on macOS (Feb 2023) + +import json + +# BN254 Fr +r = 21888242871839275222246405745257275088548364400416034343698204186575808495617 +frByteSize = 32 +countToDeath = int(5) +gfr = GF(r) +Fr = GF(r) +Fr. = Fr[] +rz = IntegerRing() + +# Montgomery constant +rr = Fr(2**256) + +# utils + + +def buildPoly(a): + """ Builds a poly from the array a + + Args: + a an array + + Returns: + a[0]+a[1]*X + .. + a[n]*X**n + """ + + res = Fr(0) + for i, v in enumerate(a): + res += Fr(v)*x**i + return res + + +def bitAt(i, b): + """ + Args: + i: index of the bit to retrieve + b: array of bytes + + Returns: + the i-th bit of b, when it is written b[0] || b[1] || ... + """ + k = i//8 + if k >= len(b): + return 0 + j = i % 8 + return (b[k] >> (7-j)) & 1 + + +def toBytes(m, s): + """ + + Args: + m: a bit int + s: the expected number of bytes of the result. If s is bigger than the + number of bytes in m, the remaining bytes are set to zero. + + Returns: + the byte representation of m as a byte array, as + in gnark-crypto. + """ + _m = rz(m) + res = s*[0] + mask = 255 + for i in range(s): + res[s-1-i] = _m & 255 + _m = _m >> 8 + return res + + +def splitCoeffs(b, logTwoBound): + """ + Args: + b: an array of bytes + logTwoBound: number of bits of the bound + + Returns: + an array of coeffs, each coeff being the i-th chunk of logTwoBounds bits of b. + The coeffs are formed as follow. The input byte string is implicitly parsed as + a slice of field elements of 32 bytes each in bigendian-natural form. the outputs + are in a little-endian form. That is, each chunk of size 256 / logTwoBounds of the + output can be seen as a polynomial, such that, when evaluated at 2 we get the original + field element. + """ + nbBits = len(b)*8 + res = [] + i = 0 + + if len(b) % frByteSize != 0: + exit("the length of b should divide the field size") + + # The number of fields that we are parsing. In case we have that + # logTwoBound does not divide the number of bits to represent a + # field element, we do not merge them. + nbField = len(b) / 32 + nbBitsInField = int(frByteSize * 8) + + for fieldID in range(nbField): + fieldStart = fieldID * 256 + e = 0 + for bitInField in range(nbBitsInField): + j = bitInField % logTwoBound + at = fieldStart + nbBitsInField - 1 - bitInField + e |= bitAt(at, b) << j + # Switch to a new limb + if j == logTwoBound - 1 or bitInField == frByteSize * 8 - 1: + res.append(e) + e = 0 + + # careful Montgomery constant... + return [Fr(e)*rr**-1 for e in res] + + +def polyRand(seed, n): + """ Generates a pseudo random polynomial of size n from seed. + + Args: + seed: seed for the pseudo random gen + n: degree of the polynomial + """ + seed = gfr(seed) + a = n*[0] + for i in range(n): + a[i] = seed**2 + seed = a[i] + return buildPoly(a) + + +# SIS +class SIS: + def __init__(self, seed, logTwoDegree, logTwoBound, maxNbElementsToHash): + """ + Args: + seed + logTwoDegree: + logTwoBound: bound of SIS + maxNbElementsToHash + """ + capacity = maxNbElementsToHash * frByteSize + degree = 1 << logTwoDegree + + n = capacity * 8 / logTwoBound # number of coefficients + if n % degree == 0: # check how sage / python rounds the int div. + n = n / degree + else: + n = n / degree + n = n + 1 + + n = int(n) + + self.logTwoBound = logTwoBound + self.degree = degree + self.size = n + self.key = n * [0] + for i in range(n): + self.key[i] = polyRand(seed, self.degree) + seed += 1 + + def hash(self, inputs): + """ + Args: + inputs is a vector of Fr elements + + Returns: + the sis hash of m. + """ + b = [] + for i in inputs: + b.extend(toBytes(i, 32)) + + return self.hash_bytes(b) + + def hash_bytes(self, b): + """ + Args: + b is a list of bytes to hash + + Returns: + the sis hash of m. + """ + # step 1: build the polynomials from m + c = splitCoeffs(b, self.logTwoBound) + mp = [buildPoly(c[self.degree*i:self.degree*(i+1)]) + for i in range(self.size)] + + # step 2: compute sum_i mp[i]*key[i] mod X^n+1 + modulo = x**self.degree+1 + res = 0 + for i in range(self.size): + res += self.key[i]*mp[i] + res = res % modulo + return res + + +def vectorToString(v): + # v is a vector of field elements + # we return a list of strings in base10 + r = [] + for e in v: + r.append("0x"+rz(e).hex()) + return r + + +def SISParams(seed, logTwoDegree, logTwoBound, maxNbElementsToHash): + p = {} + p['seed'] = int(seed) + p['logTwoDegree'] = int(logTwoDegree) + p['logTwoBound'] = int(logTwoBound) + p['maxNbElementsToHash'] = int(maxNbElementsToHash) + return p + +params = [ + SISParams(5, 2, 3, 10), + SISParams(5, 4, 3, 10), + SISParams(5, 4, 4, 10), + SISParams(5, 5, 4, 10), + SISParams(5, 6, 5, 10), + SISParams(5, 10, 6, 10), + SISParams(5, 11, 7, 10), + SISParams(5, 12, 7, 10), +] + +inputs = [ + [Fr(21888242871839275222246405745257275088548364400416034343698204186575808495614)], + [Fr(1)], + [Fr(42),Fr(8000)], + [Fr(1),Fr(2), Fr(0),Fr(21888242871839275222246405745257275088548364400416034343698204186575808495616)], + [Fr(1), Fr(0)], + [Fr(0), Fr(1)], + [Fr(0)], + [Fr(0),Fr(0),Fr(0),Fr(0)], + [Fr(0),Fr(0),Fr(8000),Fr(0)], +] + +# sprinkle some random elements +for i in range(10): + line = [] + for j in range(i): + line.append(gfr.random_element()) + inputs.append(line) + +testCases = {} +testCases['inputs'] = [] +testCases['entries'] = [] + + +for i, v in enumerate(inputs): + testCases['inputs'].append(vectorToString(v)) + + +for p in params: + entry = {} + entry['params'] = p + entry['expected'] = [] + + print("generating test cases with SIS params " + json.dumps(p)) + instance = SIS(p['seed'], p['logTwoDegree'], p['logTwoBound'], p['maxNbElementsToHash']) + for i, v in enumerate(inputs): + # hash the vector + hResult = instance.hash(v) + entry['expected'].append(vectorToString(hResult)) + + testCases['entries'].append(entry) + + +testCases_json = json.dumps(testCases, indent=4) +with open("test_cases.json", "w") as outfile: + outfile.write(testCases_json) diff --git a/ecc/bn254/fr/swifft/swifft_test.go b/ecc/bn254/fr/swifft/swifft_test.go new file mode 100644 index 0000000000..88c0c23f90 --- /dev/null +++ b/ecc/bn254/fr/swifft/swifft_test.go @@ -0,0 +1,458 @@ +// Copyright 2023 ConsenSys Software Inc. +// +// 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. + +package swifft + +import ( + "bytes" + "encoding/binary" + "encoding/json" + "fmt" + "io" + "io/ioutil" + "math/bits" + "testing" + "time" + + "github.com/consensys/gnark-crypto/ecc/bn254/fr" + "github.com/consensys/gnark-crypto/ecc/bn254/fr/fft" + "github.com/stretchr/testify/require" +) + +type sisParams struct { + logTwoBound, logTwoDegree int +} + +var params128Bits []sisParams = []sisParams{ + {logTwoBound: 2, logTwoDegree: 3}, + {logTwoBound: 4, logTwoDegree: 4}, + {logTwoBound: 6, logTwoDegree: 5}, + {logTwoBound: 10, logTwoDegree: 6}, + {logTwoBound: 16, logTwoDegree: 7}, + {logTwoBound: 32, logTwoDegree: 8}, +} + +type TestCases struct { + Inputs [][]fr.Element `json:"inputs"` + Entries []struct { + Params struct { + Seed int64 `json:"seed"` + LogTwoDegree int `json:"logTwoDegree"` + LogTwoBound int `json:"logTwoBound"` + MaxNbElementsToHash int `json:"maxNbElementsToHash"` + } `json:"params"` + Expected [][]fr.Element `json:"expected"` + } `json:"entries"` +} + +func TestReference(t *testing.T) { + if bits.UintSize == 32 { + t.Skip("skipping this test in 32bit.") + } + assert := require.New(t) + + // read the test case file + var testCases TestCases + data, err := ioutil.ReadFile("test_cases.json") + assert.NoError(err, "reading test cases failed") + err = json.Unmarshal(data, &testCases) + assert.NoError(err, "reading test cases failed") + + for testCaseID, testCase := range testCases.Entries { + // create the SIS instance + sis, err := NewRSis(testCase.Params.Seed, testCase.Params.LogTwoDegree, testCase.Params.LogTwoBound, testCase.Params.MaxNbElementsToHash) + assert.NoError(err) + + // key generation same than in sage + makeKeyDeterministic(t, sis, testCase.Params.Seed) + + for i, in := range testCases.Inputs { + sis.Reset() + + // hash test case entry input and compare with expected (computed by sage) + got, err := sis.Hash(in) + assert.NoError(err) + if len(testCase.Expected[i]) == 0 { + for _, e := range got { + assert.True(e.IsZero(), "mismatch between reference test and computed value") + } + } else { + assert.EqualValues( + testCase.Expected[i], got, + "mismatch between reference test and computed value (testcase %v - input n° %v)", + testCaseID, i, + ) + } + + // ensure max nb elements to hash has no incidence on result. + if len(in) < testCase.Params.MaxNbElementsToHash { + sis2, err := NewRSis(testCase.Params.Seed, testCase.Params.LogTwoDegree, testCase.Params.LogTwoBound, len(in)) + assert.NoError(err) + makeKeyDeterministic(t, sis2, testCase.Params.Seed) + + got2, err := sis2.Hash(in) + assert.NoError(err) + if len(testCase.Expected[i]) == 0 { + for _, e := range got2 { + assert.True(e.IsZero(), "mismatch between reference test and computed value") + } + } else { + assert.EqualValues(got, got2, "max nb elements to hash change SIS result") + } + } + + } + } + +} + +func TestMulMod(t *testing.T) { + + size := 4 + + p := make([]fr.Element, size) + p[0].SetString("2389") + p[1].SetString("987192") + p[2].SetString("623") + p[3].SetString("91") + + q := make([]fr.Element, size) + q[0].SetString("76755") + q[1].SetString("232893720") + q[2].SetString("989273") + q[3].SetString("675273") + + // creation of the domain + var shift fr.Element + shift.SetString("19540430494807482326159819597004422086093766032135589407132600596362845576832") + domain := fft.NewDomain(uint64(size), shift) + + // mul mod + domain.FFT(p, fft.DIF, fft.OnCoset()) + domain.FFT(q, fft.DIF, fft.OnCoset()) + r := mulMod(p, q) + domain.FFTInverse(r, fft.DIT, fft.OnCoset()) + + // expected result + expectedr := make([]fr.Element, 4) + expectedr[0].SetString("21888242871839275222246405745257275088548364400416034343698204185887558114297") + expectedr[1].SetString("631644300118") + expectedr[2].SetString("229913166975959") + expectedr[3].SetString("1123315390878") + + for i := 0; i < 4; i++ { + if !expectedr[i].Equal(&r[i]) { + t.Fatal("product failed") + } + } + +} + +// Test the fact that the limb decomposition allows obtaining the original +// field element by evaluating the polynomial whose the coeffiients are the +// limbs. +func TestLimbDecomposition(t *testing.T) { + + // Skipping the test for 32 bits + if bits.UintSize == 32 { + t.Skip("skipping this test in 32bit.") + } + + sis, _ := NewRSis(0, 4, 4, 3) + + testcases := []fr.Vector{ + {fr.One()}, + {fr.NewElement(2)}, + {fr.NewElement(1 << 32), fr.NewElement(2), fr.NewElement(1)}, + } + + for _, testcase := range testcases { + + // clean the sis hasher + sis.bufMValues.ClearAll() + for i := 0; i < len(sis.bufM); i++ { + sis.bufM[i].SetZero() + } + for i := 0; i < len(sis.bufRes); i++ { + sis.bufRes[i].SetZero() + } + + buf := bytes.Buffer{} + for _, x := range testcase { + xBytes := x.Bytes() + buf.Write(xBytes[:]) + } + limbDecomposeBytes(buf.Bytes(), sis.bufM, sis.LogTwoBound, sis.Degree, sis.bufMValues) + + // Just to test, this does not return panic + dummyBuffer := make(fr.Vector, 192) + LimbDecomposeBytes(buf.Bytes(), dummyBuffer, sis.LogTwoBound) + + // b is a field element representing the max norm bound + // used for limb splitting the input field elements. + b := fr.NewElement(1 << sis.LogTwoBound) + numLimbsPerField := fr.Bytes * 8 / sis.LogTwoBound + + // Compute r (corresponds to the Montgommery constant) + var r fr.Element + r.SetString("6350874878119819312338956282401532410528162663560392320966563075034087161851") + + // Attempt to recompose the entry #i in the test-case + for i := range testcase { + // allegedly corresponds to the limbs of the entry i + subRes := sis.bufM[i*numLimbsPerField : (i+1)*numLimbsPerField] + + // performs a Horner evaluation of subres by b + var y fr.Element + for j := numLimbsPerField - 1; j >= 0; j-- { + y.Mul(&y, &b) + y.Add(&y, &subRes[j]) + } + + y.Mul(&y, &r) + require.Equal(t, testcase[i].String(), y.String(), "the subRes was %v", subRes) + } + } +} + +func makeKeyDeterministic(t *testing.T, sis *RSis, _seed int64) { + t.Helper() + // generate the key deterministically, the same way + // we do in sage to generate the test vectors. + + polyRand := func(seed fr.Element, deg int) []fr.Element { + res := make([]fr.Element, deg) + for i := 0; i < deg; i++ { + res[i].Square(&seed) + seed.Set(&res[i]) + } + return res + } + + var seed, one fr.Element + one.SetOne() + seed.SetInt64(_seed) + for i := 0; i < len(sis.A); i++ { + sis.A[i] = polyRand(seed, sis.Degree) + copy(sis.Ag[i], sis.A[i]) + sis.Domain.FFT(sis.Ag[i], fft.DIF, fft.OnCoset()) + seed.Add(&seed, &one) + } +} + +const ( + LATENCY_MUL_FIELD_NS int = 18 + LATENCY_ADD_FIELD_NS int = 4 +) + +// Estimate the theoretical performances that are achievable using ring-SIS +// operations. The time is obtained by counting the number of additions and +// multiplications occurring in the computation. This does not account for the +// possibilities to use SIMD instructions or for cache-locality issues. Thus, it +// does not represents a maximum even though it returns a good idea of what is +// achievable . This returns performances in term of ns/field. This also does not +// account for the time taken for "limb-splitting" the input. +func estimateSisTheory(p sisParams) float64 { + + // Since the FFT occurs over a coset, we need to multiply all the coefficients + // of the input by some coset factors (for an entire polynomial) + timeCosetShift := (1 << p.logTwoDegree) * LATENCY_MUL_FIELD_NS + + // The two additions are from the butterfly, and the multiplication represents + // the one by the twiddle. (for an entire polynomial) + timeFFT := (1 << p.logTwoDegree) * p.logTwoDegree * (2*LATENCY_ADD_FIELD_NS + LATENCY_MUL_FIELD_NS) + + // Time taken to multiply by the key and accumulate (for an entire polynomial) + timeMulAddKey := (1 << p.logTwoDegree) * (LATENCY_MUL_FIELD_NS + LATENCY_ADD_FIELD_NS) + + // Total computation time for an entire polynomial + totalTimePoly := timeCosetShift + timeFFT + timeMulAddKey + + // Convert this into a time per input field + r := totalTimePoly * fr.Bits / p.logTwoBound / (1 << p.logTwoDegree) + return float64(r) +} + +func BenchmarkSIS(b *testing.B) { + + // max nb field elements to hash + const nbInputs = 1 << 16 + + // Assign the input with random bytes. In practice, theses bytes encodes + // a string of field element. It would be more meaningful to take a slice + // of field element directly because otherwise the conversion time is not + // accounted for in the benchmark. + inputs := make(fr.Vector, nbInputs) + for i := 0; i < len(inputs); i++ { + inputs[i].SetRandom() + } + + for _, param := range params128Bits { + for n := 1 << 10; n <= nbInputs; n <<= 1 { + in := inputs[:n] + benchmarkSIS(b, in, false, param.logTwoBound, param.logTwoDegree, estimateSisTheory(param)) + } + + } +} + +func benchmarkSIS(b *testing.B, input []fr.Element, sparse bool, logTwoBound, logTwoDegree int, theoretical float64) { + b.Helper() + + n := len(input) + + benchName := "ring-sis/" + if sparse { + benchName += "sparse/" + } + benchName += fmt.Sprintf("inputs=%v/log2-bound=%v/log2-degree=%v", n, logTwoBound, logTwoDegree) + + b.Run(benchName, func(b *testing.B) { + instance, err := NewRSis(0, logTwoDegree, logTwoBound, n) + if err != nil { + b.Fatal(err) + } + + // We introduce a custom metric which is the time per field element + // Since the benchmark object allows to report extra meta but does + // not allow accessing them. We measure the time ourself. + + startTime := time.Now() + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, err = instance.Hash(input) + if err != nil { + b.Fatal(err) + } + } + b.StopTimer() + + totalDuration := time.Since(startTime) + nsPerField := totalDuration.Nanoseconds() / int64(b.N) / int64(n) + + b.ReportMetric(float64(nsPerField), "ns/field") + + b.ReportMetric(theoretical, "ns/field(theory)") + + }) +} + +// Hash interprets the input vector as a sequence of coefficients of size r.LogTwoBound bits long, +// and return the hash of the polynomial corresponding to the sum sum_i A[i]*m Mod X^{d}+1 +// +// It is equivalent to calling r.Write(element.Marshal()); outBytes = r.Sum(nil); +// ! note @gbotrel: this is a place holder, may not make sense +func (r *RSis) Hash(v []fr.Element) ([]fr.Element, error) { + if len(v) > r.maxNbElementsToHash { + return nil, fmt.Errorf("can't hash more than %d elements with params provided in constructor", r.maxNbElementsToHash) + } + + r.Reset() + for _, e := range v { + r.Write(e.Marshal()) + } + sum := r.Sum(nil) + var rlen [4]byte + binary.BigEndian.PutUint32(rlen[:], uint32(len(sum)/fr.Bytes)) + reader := io.MultiReader(bytes.NewReader(rlen[:]), bytes.NewReader(sum)) + var result fr.Vector + _, err := result.ReadFrom(reader) + if err != nil { + return nil, err + } + return result, nil +} + +// Hash version without mem copy +// // Hash interprets the input vector as a sequence of coefficients of size r.LogTwoBound bits long, +// // and return the hash of the polynomial corresponding to the sum sum_i A[i]*m Mod X^{d}+1 +// // +// // It is equivalent to calling r.Write(element.Marshal()); outBytes = r.Sum(nil); +// func (r *RSis) Hash(v []fr.Element) ([]fr.Element, error) { +// if len(v) > r.maxNbElementsToHash { +// return nil, fmt.Errorf("can't hash more than %d elements with params provided in constructor", r.maxNbElementsToHash) +// } + +// // clear the buffers of the instance. +// defer func() { +// r.bufMValues.ClearAll() +// for i := 0; i < len(r.bufM); i++ { +// r.bufM[i].SetZero() +// } +// }() + +// // bitwise decomposition of the buffer, in order to build m (the vector to hash) +// // as a list of polynomials, whose coefficients are less than r.B bits long. + +// bitAt := func(v []fr.Element, i int) uint8 { +// // v --> slice of bits +// // return bit at position i +// const n = fr.Bytes * 8 // nb bits per element +// nbBits := len(v) * n + +// if i >= nbBits { +// return 0 +// } + +// eIndex := i / n +// i %= n + +// // we want bit i of v[eIndex] +// j := i / 64 +// return uint8(v[eIndex][j] >> (i % 64) & 1) + +// } + +// // now we can construct m. The input to hash consists of the polynomials +// // m[k*r.Degree:(k+1)*r.Degree] +// m := r.bufM + +// // mark blocks m[i*r.Degree : (i+1)*r.Degree] != [0...0] +// mValues := r.bufMValues + +// // we process the input buffer by blocks of r.LogTwoBound bits +// // each of these block (<< 64bits) are interpreted as a coefficient +// mPos := 0 +// nbBits := len(v) * fr.Bytes * 8 +// for i := 0; i < nbBits; mPos++ { +// for j := 0; j < r.LogTwoBound; j++ { +// // r.LogTwoBound < 64; we just use the first word of our element here, +// // and set the bits from LSB to MSB. +// m[mPos][0] |= uint64(bitAt(v, i) << j) +// i++ +// } +// if m[mPos][0] == 0 { +// continue +// } +// mValues.Set(uint(mPos / r.Degree)) +// } + +// // we can hash now. +// res := make(fr.Vector, r.Degree) + +// // method 1: fft +// for i := 0; i < len(r.Ag); i++ { +// if !mValues.Test(uint(i)) { +// // means m[i*r.Degree : (i+1)*r.Degree] == [0...0] +// // we can skip this, FFT(0) = 0 +// continue +// } +// k := 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"0x14411a35fe1fc70ab86709ad50ae43a4629a4b4650a0bbbf4683f5a84a9f5065", + "0xd05fbf4cdf70d012af1f24fdbcccf895e461051d30b122e0b926a8a278c77a7", + "0x303f7d4fc51f8f7ec3203a488e65fd520c24691ef4fd08a28bd51d5d0c56d850", + "0x9ded28cc5a2427eb5b859f8bbf94ccd3897ad0a33dc13752b4ab919d3b57aa3", + "0x1bba997c6597466bc0efe9e44a9e1969948ff682114c77c0a0ed2e193e7a95a6", + "0x10b1267a993e9122de9a45a5f963efe47d575885ef31748434aba52175285c94", + "0x98de9d1d329bc74735e95860205d2dc6c679130dd2e3fb898a66cc3382d9dd0", + "0x1128737b3731fdca47ae27c0c1345d33a614c4bbcccad17d07c77209f6652405", + "0x1e4c40caa5486faeeb61a9c816b530347c6f3c375555c33179964cd9c2c6c7c2" + ] + ] + } + ] +} \ No newline at end of file diff --git a/ecc/bn254/fr/swifft/utils.tmp b/ecc/bn254/fr/swifft/utils.tmp new file mode 100644 index 0000000000..445d1ef5b5 --- /dev/null +++ b/ecc/bn254/fr/swifft/utils.tmp @@ -0,0 +1,266 @@ +// Copyright 2020 ConsenSys Software Inc. +// +// 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. + +package sis + +import ( + "math/bits" + + "github.com/consensys/gnark-crypto/ecc/bn254/fr" +) + +// MulMod computes p * q in ℤ_{p}[X]/Xᵈ+1. +// Is assumed that pLagrangeShifted and qLagrangeShifted are of the corret sizes +// and that they are in evaluation form on √(g) * +// The result is not FFTinversed. The fft inverse is done once every +// multiplications are done. +func MulMod(pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) []fr.Element { + + res := make([]fr.Element, len(pLagrangeCosetBitReversed)) + for i := 0; i < len(pLagrangeCosetBitReversed); i++ { + res[i].Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) + } + + // NOT fft inv for now, wait until every part of the keys have been multiplied + // r.Domain.FFTInverse(res, fft.DIT, true) + + return res + +} + +// naiveMul computes the naive multiplication between polynomials +// of the same size. The polynomials (inputs and outputs) are in +// canonical form. +// /!\ The size check is not done in the function /!\ +func naiveMul(p, q []fr.Element) []fr.Element { + + n := len(p) + res := make([]fr.Element, 2*n) + + // q[0]*p + q[1]*p + .. + q[n-1]*p + var tmp fr.Element + for i := 0; i < len(q); i++ { + for j := 0; j < len(p); j++ { + tmp.Mul(&q[i], &p[j]) + res[i+j].Add(&res[i+j], &tmp) + } + } + return res +} + +// naiveReduction computes p Mod X^d+1. +// It assumes that len(p)>=d. +// /!\ The size check is not done in the function /!\ +func naiveReduction(p []fr.Element, d int) []fr.Element { + n := len(p) + res := make([]fr.Element, n) + copy(res, p) + for n > d { + res[n-d-1].Sub(&res[n-d-1], &res[n-1]) + n-- + } + return res[:d] +} + +// naiveMulMod computes a*b mod X^d+1, where d=len(a). +// It is supposed that len(a) = len(b). +// /!\ The size check is not done in the function /!\ +func naiveMulMod(p, q []fr.Element) []fr.Element { + + d := len(p) + res := make([]fr.Element, d) + + var tmp fr.Element + for i := 0; i < d; i++ { + for j := 0; j < d-i; j++ { + tmp.Mul(&p[j], &q[i]) + res[i+j].Add(&tmp, &res[i+j]) + } + for j := d - i; j < d; j++ { + tmp.Mul(&p[j], &q[i]) + res[j-d+i].Sub(&res[j-d+i], &tmp) + } + } + + return res +} + +// naiveMulMod2 naiveMulMod with hardcoded degree = 2 +// p is of short norm. +func naiveMulMod2(p, q []fr.Element) [2]fr.Element { + + d := len(p) + var res [2]fr.Element + + var tmp fr.Element + + // (p0+p1*X)*(q0+q1*X) mod X^2+1 = p0q0-p1q1 + (p0q1+p1q0)*X + // strategy: + // (p0+p1)*(q0-q1) (1) + // (p0+p1)*(q0+q1) (2) + // (p0-p1)*(q0+q1) (3) + // + // (1) + (3) >> 1 = p0q0-p1q1 + // + + for i := 0; i < d; i++ { + for j := 0; j < d-i; j++ { + tmp.Mul(&p[j], &q[i]) + res[i+j].Add(&tmp, &res[i+j]) + } + for j := d - i; j < d; j++ { + tmp.Mul(&p[j], &q[i]) + res[j-d+i].Sub(&res[j-d+i], &tmp) + } + } + + return res +} + +// write pols[i] = anX^n + .. + a0, then return the number p_i = a0||..||an +// choices are the possible values of the a_i. +// nbBitsBound is the number of bits of the bound. +func selectIndex(p []fr.Element, choices []fr.Element, nbBitsBound int) int { + r := 0 + for i := len(p) - 1; i >= 0; i-- { + for j := 1; j < len(choices); j++ { // don't count 0 + if p[i].Equal(&choices[j]) { + r += (j << (nbBitsBound * i)) + break + } + } + } + return r +} + +// write pols[i] = anX^n + .. + a0, then write the number p_i = a0||..||an +// and set bucket[p_i] = i. +// The a_i are small (3 bits max) and bounded by bound, and n is small. +// nbBuckets number of possible buckets (it's bound**degree where degree is the +// / degree of the polynomials at play) +// bound is a power of 2. +func fillBuckets(pols [][]fr.Element, nbBuckets int, bound int) [][]int { + + res := make([][]int, nbBuckets) + for i := 0; i < nbBuckets; i++ { + res[i] = make([]int, 0, nbBuckets) + } + + choices := make([]fr.Element, nbBuckets) + for i := 0; i < nbBuckets; i++ { + choices[i].SetUint64(uint64(i)) + } + nbBitsBound := bits.TrailingZeros(uint(bound)) + nbPols := len(pols) + for i := 0; i < nbPols; i++ { + ind := selectIndex(pols[i], choices, nbBitsBound) + res[ind] = append(res[ind], i) + } + // parallel.Execute(nbPols, func(start, end int) { + // for i := start; i < end; i++ { + // ind := selectIndex(pols[i], choices, nbBitsBound) + // res[ind] = append(res[ind], i) + // } + // }) + + return res +} + +// addPolys p <- p + q +// p and q are assumed to be of the same size. +func addPolys(p, q []fr.Element) { + for i := 0; i < len(p); i++ { + p[i].Add(&p[i], &q[i]) + } +} + +// accumulateSums returns a list l of len(bucketsList) polynomials, +// such that l[i] = \sum_{k\in\bucketsList[i]}polys[k] +// degree is the degree of the polynomials +func accumulateSums(polys [][]fr.Element, bucketsList [][]int, degree int) [][]fr.Element { + + nbBuckets := len(bucketsList) + + res := make([][]fr.Element, nbBuckets) + for i := 0; i < nbBuckets; i++ { + res[i] = make([]fr.Element, degree) + } + + // to parallelise + // parallel.Execute(nbBuckets, func(start, end int) { + // for i := start; i < end; i++ { + // for j := 0; j < len(bucketsList[i]); j++ { + // addPolys(res[i], polys[bucketsList[i][j]]) + // } + // } + // }) + for i := 0; i < nbBuckets; i++ { + for j := 0; j < len(bucketsList[i]); j++ { + addPolys(res[i], polys[bucketsList[i][j]]) + } + } + + return res +} + +// buildPoly retuns \sum_ai X^i such that a_i = i-th digit (in base bound) +// of id. +// bound is supposed to be a power of two. +// degree is the degree of the expected polynomial. +func buildPoly(degree, bound, id int) []fr.Element { + res := make([]fr.Element, degree) + mask := bound - 1 + b := bits.TrailingZeros(uint(bound)) + for i := 0; i < degree; i++ { + res[i].SetUint64(uint64(id & mask)) + id = id >> b + } + return res +} + +// mulModBucketsMethod computes \sum_i p[i]*q[i] Mod X^degree+1. +// It is assumed that len(p)=len(q) and that the polynomials are +// of the same size. +// q is the list of polynomials of small norms, < bound. +// /!\ the checks on the sizes are not done in the function /!\ +func mulModBucketsMethod(p, q [][]fr.Element, bound, degree int) []fr.Element { + + // 1 - fill the buckets + nbBuckets := 1 + for i := 0; i < degree; i++ { + nbBuckets *= bound + } + buckets := fillBuckets(q, nbBuckets, bound) + + // 2 - accumulate the sums + foldedBuckets := accumulateSums(p, buckets, degree) + + // 3 - compute the multiplication on each bucket + naiveMulPerBuckets := make([][]fr.Element, nbBuckets) + for i := 0; i < nbBuckets; i++ { + b := buildPoly(degree, bound, i) + naiveMulPerBuckets[i] = naiveMulMod(foldedBuckets[i], b) + } + + // 4 - sum the results + for i := 1; i < nbBuckets; i++ { + for j := 0; j < degree; j++ { + naiveMulPerBuckets[0][j].Add(&naiveMulPerBuckets[0][j], &naiveMulPerBuckets[i][j]) + } + } + + // return res + return naiveMulPerBuckets[0] + +} diff --git a/ecc/bn254/g1.go b/ecc/bn254/g1.go index c03823d254..e854d5071b 100644 --- a/ecc/bn254/g1.go +++ b/ecc/bn254/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -411,8 +418,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bn254/g2.go b/ecc/bn254/g2.go index bb57fe1750..2d7dfc62c6 100644 --- a/ecc/bn254/g2.go +++ b/ecc/bn254/g2.go @@ -410,8 +410,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bn254/internal/fptower/e12.go b/ecc/bn254/internal/fptower/e12.go index 044e308b0c..8c6528dbb4 100644 --- a/ecc/bn254/internal/fptower/e12.go +++ b/ecc/bn254/internal/fptower/e12.go @@ -581,9 +581,9 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { // split the scalar, modifies ±x, Frob(x) accordingly var s [2]big.Int if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalar(e, &glvBasis) + s = ecc.SplitScalarBig(e, &glvBasis) } else { - s = ecc.SplitScalarSmall(e, &glvBasis) + s = ecc.SplitScalar(e, &glvBasis) } if s[0].Sign() == -1 { diff --git a/ecc/bw6-633/g1.go b/ecc/bw6-633/g1.go index 5bb8d1f9e5..6c89324572 100644 --- a/ecc/bw6-633/g1.go +++ b/ecc/bw6-633/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -426,8 +433,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bw6-633/g2.go b/ecc/bw6-633/g2.go index cce9c360cf..f53f6a9dff 100644 --- a/ecc/bw6-633/g2.go +++ b/ecc/bw6-633/g2.go @@ -405,8 +405,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bw6-756/g1.go b/ecc/bw6-756/g1.go index 5cad95ab93..fa25b8d413 100644 --- a/ecc/bw6-756/g1.go +++ b/ecc/bw6-756/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -430,8 +437,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bw6-756/g2.go b/ecc/bw6-756/g2.go index 40be72f497..6b2d7dd708 100644 --- a/ecc/bw6-756/g2.go +++ b/ecc/bw6-756/g2.go @@ -409,8 +409,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bw6-761/g1.go b/ecc/bw6-761/g1.go index 3f00288a0c..7c0e5a685f 100644 --- a/ecc/bw6-761/g1.go +++ b/ecc/bw6-761/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -430,8 +437,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/bw6-761/g2.go b/ecc/bw6-761/g2.go index 9f6ccbf137..2909a1ee67 100644 --- a/ecc/bw6-761/g2.go +++ b/ecc/bw6-761/g2.go @@ -409,8 +409,15 @@ func (p *G2Jac) mulWindowed(a *G2Jac, s *big.Int) *G2Jac { var res G2Jac var ops [3]G2Jac - res.Set(&g2Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g2Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/secp256k1/g1.go b/ecc/secp256k1/g1.go index 862e9c6ac8..4eaa0577a9 100644 --- a/ecc/secp256k1/g1.go +++ b/ecc/secp256k1/g1.go @@ -23,8 +23,15 @@ import ( "github.com/consensys/gnark-crypto/internal/parallel" "math/big" "runtime" + "sync" ) +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} + // G1Affine point in affine coordinates type G1Affine struct { X, Y fp.Element @@ -411,8 +418,15 @@ func (p *G1Jac) mulWindowed(a *G1Jac, s *big.Int) *G1Jac { var res G1Jac var ops [3]G1Jac - res.Set(&g1Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&g1Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/ecc/utils.go b/ecc/utils.go index 335c39c42d..668dbcf649 100644 --- a/ecc/utils.go +++ b/ecc/utils.go @@ -138,7 +138,7 @@ func PrecomputeLattice(r, lambda *big.Int, res *Lattice) { // ker((a,b) → a+b.λ[r]): then (u,v)=w-(s,0), and // u+v.λ=s[r]. // cf https://www.iacr.org/archive/crypto2001/21390189.pdf -func SplitScalar(s *big.Int, l *Lattice) [2]big.Int { +func SplitScalarBig(s *big.Int, l *Lattice) [2]big.Int { var k1, k2 big.Int k1.Mul(&l.V2[1], s) @@ -152,7 +152,7 @@ func SplitScalar(s *big.Int, l *Lattice) [2]big.Int { return v } -func SplitScalarSmall(s *big.Int, l *Lattice) [2]big.Int { +func SplitScalar(s *big.Int, l *Lattice) [2]big.Int { var k1, k2 big.Int k1.Mul(s, &l.b1) diff --git a/internal/generator/ecc/template/point.go.tmpl b/internal/generator/ecc/template/point.go.tmpl index d4e0fe760c..9a9c95a913 100644 --- a/internal/generator/ecc/template/point.go.tmpl +++ b/internal/generator/ecc/template/point.go.tmpl @@ -8,6 +8,9 @@ import ( "math/big" "runtime" + {{- if eq .PointName "g1"}} + "sync" + {{- end }} {{- if .GLV}} "github.com/consensys/gnark-crypto/ecc" @@ -21,6 +24,14 @@ import ( {{- end}} ) +{{- if eq .PointName "g1"}} +var bigIntPool = sync.Pool{ + New: func() interface{} { + return new(big.Int) + }, +} +{{- end}} + // {{ $TAffine }} point in affine coordinates type {{ $TAffine }} struct { X, Y {{.CoordType}} @@ -626,8 +637,15 @@ func (p *{{ $TJacobian }}) mulWindowed(a *{{ $TJacobian }}, s *big.Int) *{{ $TJa var res {{ $TJacobian }} var ops [3]{{ $TJacobian }} - res.Set(&{{ toLower .PointName}}Infinity) ops[0].Set(a) + e := s + if s.Sign() == -1 { + e = bigIntPool.Get().(*big.Int) + defer bigIntPool.Put(e) + e.Neg(s) + ops[0].Neg(&ops[0]) + } + res.Set(&{{ toLower .PointName}}Infinity) ops[1].Double(&ops[0]) ops[2].Set(&ops[0]).AddAssign(&ops[1]) diff --git a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl index 14cda7f223..55491c1483 100644 --- a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl +++ b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl @@ -558,9 +558,9 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { // split the scalar, modifies ±x, Frob(x) accordingly var s [2]big.Int if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalar(e, &glvBasis) + s = ecc.SplitScalarBig(e, &glvBasis) } else { - s = ecc.SplitScalarSmall(e, &glvBasis) + s = ecc.SplitScalar(e, &glvBasis) } if s[0].Sign() == -1 { From dc4e2d4f7799c4c36e213d1278fd3b77c07eb4da Mon Sep 17 00:00:00 2001 From: Thomas Piellard Date: Fri, 29 Sep 2023 15:05:39 +0200 Subject: [PATCH 3/7] feat: added test for [-s]G=-[s]G --- ecc/bls12-377/g1_test.go | 31 +++++++++++++++++++ ecc/bls12-377/g2_test.go | 31 +++++++++++++++++++ ecc/bls12-378/g1_test.go | 31 +++++++++++++++++++ ecc/bls12-378/g2_test.go | 31 +++++++++++++++++++ ecc/bls12-381/g1_test.go | 8 +++-- ecc/bls12-381/g2_test.go | 31 +++++++++++++++++++ ecc/bls24-315/g1_test.go | 31 +++++++++++++++++++ ecc/bls24-315/g2_test.go | 31 +++++++++++++++++++ ecc/bls24-317/g1_test.go | 31 +++++++++++++++++++ ecc/bls24-317/g2_test.go | 31 +++++++++++++++++++ ecc/bn254/g1_test.go | 31 +++++++++++++++++++ ecc/bn254/g2_test.go | 31 +++++++++++++++++++ ecc/bw6-633/g1_test.go | 31 +++++++++++++++++++ ecc/bw6-633/g2_test.go | 31 +++++++++++++++++++ ecc/bw6-756/g1_test.go | 31 +++++++++++++++++++ ecc/bw6-756/g2_test.go | 31 +++++++++++++++++++ ecc/bw6-761/g1_test.go | 31 +++++++++++++++++++ ecc/bw6-761/g2_test.go | 31 +++++++++++++++++++ ecc/secp256k1/g1_test.go | 31 +++++++++++++++++++ .../ecc/template/tests/point.go.tmpl | 31 +++++++++++++++++++ 20 files changed, 594 insertions(+), 3 deletions(-) diff --git a/ecc/bls12-377/g1_test.go b/ecc/bls12-377/g1_test.go index e455a648da..064e120d22 100644 --- a/ecc/bls12-377/g1_test.go +++ b/ecc/bls12-377/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-377-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-377] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bls12-377/g2_test.go b/ecc/bls12-377/g2_test.go index 529dcc76a7..2c11f06a21 100644 --- a/ecc/bls12-377/g2_test.go +++ b/ecc/bls12-377/g2_test.go @@ -248,6 +248,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-377-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-377] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E2) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bls12-378/g1_test.go b/ecc/bls12-378/g1_test.go index 672b3f9fa7..cec6e3fb3d 100644 --- a/ecc/bls12-378/g1_test.go +++ b/ecc/bls12-378/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-378-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-378] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bls12-378/g2_test.go b/ecc/bls12-378/g2_test.go index 2d360a2d8c..fea205aa1e 100644 --- a/ecc/bls12-378/g2_test.go +++ b/ecc/bls12-378/g2_test.go @@ -248,6 +248,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-378-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-378] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E2) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bls12-381/g1_test.go b/ecc/bls12-381/g1_test.go index b77ac7acc3..6214372cd1 100644 --- a/ecc/bls12-381/g1_test.go +++ b/ecc/bls12-381/g1_test.go @@ -12,6 +12,8 @@ // See the License for the specific language governing permissions and // limitations under the License. +// Code generated by consensys/gnark-crypto DO NOT EDIT + package bls12381 import ( @@ -245,7 +247,7 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() - properties.Property("[BLS12-381] [-s]G = -[s]G", prop.ForAll( + properties.Property("[BLS12-381-381] [-s]G = -[s]G", prop.ForAll( func(s fr.Element) bool { g := g1GenAff var gj G1Jac @@ -266,8 +268,8 @@ func TestG1AffineOps(t *testing.T) { // mulWindowed { var op1, op2 G1Jac - op1.mulGLV(&gj, &bs).Neg(&op1) - op2.mulGLV(&gj, &nbs) + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) res = res && op1.Equal(&op2) } diff --git a/ecc/bls12-381/g2_test.go b/ecc/bls12-381/g2_test.go index 4905c7b91a..d42bab005f 100644 --- a/ecc/bls12-381/g2_test.go +++ b/ecc/bls12-381/g2_test.go @@ -248,6 +248,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS12-381-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS12-381] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E2) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bls24-315/g1_test.go b/ecc/bls24-315/g1_test.go index 7251a9e2e4..a2c861037a 100644 --- a/ecc/bls24-315/g1_test.go +++ b/ecc/bls24-315/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS24-315-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS24-315] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bls24-315/g2_test.go b/ecc/bls24-315/g2_test.go index 6a98aa51ee..a9d4d67fcb 100644 --- a/ecc/bls24-315/g2_test.go +++ b/ecc/bls24-315/g2_test.go @@ -248,6 +248,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS24-315-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS24-315] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E4) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bls24-317/g1_test.go b/ecc/bls24-317/g1_test.go index 8f62e1fb8b..6e539ce9b1 100644 --- a/ecc/bls24-317/g1_test.go +++ b/ecc/bls24-317/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS24-317-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS24-317] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bls24-317/g2_test.go b/ecc/bls24-317/g2_test.go index 94026ccfc9..d19a699a0c 100644 --- a/ecc/bls24-317/g2_test.go +++ b/ecc/bls24-317/g2_test.go @@ -248,6 +248,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BLS24-317-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BLS24-317] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E4) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bn254/g1_test.go b/ecc/bn254/g1_test.go index b7a17b61dd..92b0c5d730 100644 --- a/ecc/bn254/g1_test.go +++ b/ecc/bn254/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BN254-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BN254] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bn254/g2_test.go b/ecc/bn254/g2_test.go index 0690bf9008..8d8dba872c 100644 --- a/ecc/bn254/g2_test.go +++ b/ecc/bn254/g2_test.go @@ -247,6 +247,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BN254-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BN254] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fptower.E2) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bw6-633/g1_test.go b/ecc/bw6-633/g1_test.go index 7bdf11483b..1e4dc1e466 100644 --- a/ecc/bw6-633/g1_test.go +++ b/ecc/bw6-633/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-633-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-633] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bw6-633/g2_test.go b/ecc/bw6-633/g2_test.go index 5b5b9a59ad..8028e38566 100644 --- a/ecc/bw6-633/g2_test.go +++ b/ecc/bw6-633/g2_test.go @@ -234,6 +234,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-633-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-633] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bw6-756/g1_test.go b/ecc/bw6-756/g1_test.go index b8e6964a8c..abb6358cc8 100644 --- a/ecc/bw6-756/g1_test.go +++ b/ecc/bw6-756/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-756-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-756] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bw6-756/g2_test.go b/ecc/bw6-756/g2_test.go index 0c5699b793..7264c7bd70 100644 --- a/ecc/bw6-756/g2_test.go +++ b/ecc/bw6-756/g2_test.go @@ -234,6 +234,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-756-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-756] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/bw6-761/g1_test.go b/ecc/bw6-761/g1_test.go index 6f342aa510..079c255338 100644 --- a/ecc/bw6-761/g1_test.go +++ b/ecc/bw6-761/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-761-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-761] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/ecc/bw6-761/g2_test.go b/ecc/bw6-761/g2_test.go index 55f053a3d1..215d3a582d 100644 --- a/ecc/bw6-761/g2_test.go +++ b/ecc/bw6-761/g2_test.go @@ -234,6 +234,37 @@ func TestG2AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[BW6-761-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g2GenAff + var gj G2Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G2Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G2Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[BW6-761] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG2Jac(&g2Gen, a) diff --git a/ecc/secp256k1/g1_test.go b/ecc/secp256k1/g1_test.go index 252e46aefb..a08ab78797 100644 --- a/ecc/secp256k1/g1_test.go +++ b/ecc/secp256k1/g1_test.go @@ -247,6 +247,37 @@ func TestG1AffineOps(t *testing.T) { genScalar := GenFr() + properties.Property("[SECP256K1-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := g1GenAff + var gj G1Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 G1Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 G1Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[SECP256K1] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b fp.Element) bool { fop1 := fuzzG1Jac(&g1Gen, a) diff --git a/internal/generator/ecc/template/tests/point.go.tmpl b/internal/generator/ecc/template/tests/point.go.tmpl index 932221628c..bed43788e5 100644 --- a/internal/generator/ecc/template/tests/point.go.tmpl +++ b/internal/generator/ecc/template/tests/point.go.tmpl @@ -282,6 +282,37 @@ func Test{{ $TAffine }}Ops(t *testing.T) { genScalar := GenFr() + properties.Property("[{{ toUpper .Name }}-381] [-s]G = -[s]G", prop.ForAll( + func(s fr.Element) bool { + g := {{ toLower .PointName }}GenAff + var gj {{ toUpper .PointName }}Jac + var nbs, bs big.Int + s.BigInt(&bs) + nbs.Neg(&bs) + + var res = true + + // mulGLV + { + var op1, op2 {{ toUpper .PointName }}Affine + op1.ScalarMultiplication(&g, &bs).Neg(&op1) + op2.ScalarMultiplication(&g, &nbs) + res = res && op1.Equal(&op2) + } + + // mulWindowed + { + var op1, op2 {{ toUpper .PointName }}Jac + op1.mulWindowed(&gj, &bs).Neg(&op1) + op2.mulWindowed(&gj, &nbs) + res = res && op1.Equal(&op2) + } + + return res + }, + GenFr(), + )) + properties.Property("[{{ toUpper .Name }}] [Jacobian] Add should call double when having adding the same point", prop.ForAll( func(a, b {{ .CoordType}}) bool { fop1 := fuzz{{ $TJacobian }}(&{{ toLower .PointName }}Gen, a) From 4096ad9913f1bfc9c67cdddade36ba981ade72ac Mon Sep 17 00:00:00 2001 From: Thomas Piellard Date: Fri, 29 Sep 2023 15:32:58 +0200 Subject: [PATCH 4/7] feat: discared useless files --- ecc/bls12-381/playground/main.go | 35 - ecc/bn254/fr/swifft/swifft.go | 374 - ecc/bn254/fr/swifft/swifft.sage | 271 - ecc/bn254/fr/swifft/swifft_test.go | 458 - ecc/bn254/fr/swifft/test_cases.json | 117269 ------------------------- ecc/bn254/fr/swifft/utils.tmp | 266 - 6 files changed, 118673 deletions(-) delete mode 100644 ecc/bls12-381/playground/main.go delete mode 100644 ecc/bn254/fr/swifft/swifft.go delete mode 100644 ecc/bn254/fr/swifft/swifft.sage delete mode 100644 ecc/bn254/fr/swifft/swifft_test.go delete mode 100644 ecc/bn254/fr/swifft/test_cases.json delete mode 100644 ecc/bn254/fr/swifft/utils.tmp diff --git a/ecc/bls12-381/playground/main.go b/ecc/bls12-381/playground/main.go deleted file mode 100644 index 7243d488f8..0000000000 --- a/ecc/bls12-381/playground/main.go +++ /dev/null @@ -1,35 +0,0 @@ -package main - -import ( - "fmt" - - bls12381 "github.com/consensys/gnark-crypto/ecc/bls12-381" - "github.com/consensys/gnark-crypto/ecc/bls12-381/fr" -) - -func main() { - - _, _, g, _ := bls12381.Generators() - var gg bls12381.G1Affine - // m := fr.Modulus() - // var r fr.Element - // var rb, u big.Int - // var rb big.Int - //r.SetRandom() - // r.ToBigIntRegular(&rb) - // rb.SetString("", 10) - // u.Mul(m, big.NewInt(123456789)).Add(&u, &rb) - - fmt.Printf("g: %s\n", g.String()) - // fmt.Printf("u: %s\n", rb.String()) - - // gg.ScalarMultiplication(&g, &u) - gg.ScalarMultiplication(&g, fr.Modulus()) - fmt.Printf("%s\n", gg.String()) - ggBytes := gg.RawBytes() - fmt.Printf("size: %d\n", len(ggBytes)) - - fmt.Printf("%x\n", ggBytes[:48]) - fmt.Printf("%x\n", ggBytes[48:]) - -} diff --git a/ecc/bn254/fr/swifft/swifft.go b/ecc/bn254/fr/swifft/swifft.go deleted file mode 100644 index e05698dc1b..0000000000 --- a/ecc/bn254/fr/swifft/swifft.go +++ /dev/null @@ -1,374 +0,0 @@ -// Copyright 2023 ConsenSys Software Inc. -// -// 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. - -package swifft - -import ( - "bytes" - "encoding/binary" - "errors" - "hash" - "math/big" - "math/bits" - - "github.com/bits-and-blooms/bitset" - "github.com/consensys/gnark-crypto/ecc/bn254/fr" - "github.com/consensys/gnark-crypto/ecc/bn254/fr/fft" - "github.com/consensys/gnark-crypto/internal/parallel" - "golang.org/x/crypto/blake2b" -) - -var ( - ErrNotAPowerOfTwo = errors.New("d must be a power of 2") -) - -// Ring-SIS instance -type RSis struct { - - // buffer storing the data to hash - buffer bytes.Buffer - - // Vectors in ℤ_{p}/Xⁿ+1 - // A[i] is the i-th polynomial. - // Ag the evaluation form of the polynomials in A on the coset √(g) * - A [][]fr.Element - Ag [][]fr.Element - - // LogTwoBound (Infinity norm) of the vector to hash. It means that each component in m - // is < 2^B, where m is the vector to hash (the hash being A*m). - // cf https://hackmd.io/7OODKWQZRRW9RxM5BaXtIw , B >= 3. - LogTwoBound int - - // domain for the polynomial multiplication - Domain *fft.Domain - - // d, the degree of X^{d}+1 - Degree int - - // in bytes, represents the maximum number of bytes the .Write(...) will handle; - // ( maximum number of bytes to sum ) - capacity int - maxNbElementsToHash int - - // allocate memory once per instance (used in Sum()) - bufM, bufRes fr.Vector - bufMValues *bitset.BitSet -} - -// NewRSis creates an instance of RSis. -// seed: seed for the randomness for generating A. -// logTwoDegree: if d := logTwoDegree, the ring will be ℤ_{p}[X]/Xᵈ-1, where X^{2ᵈ} is the 2ᵈ⁺¹-th cyclotomic polynomial -// logTwoBound: the bound of the vector to hash (using the infinity norm). -// maxNbElementsToHash: maximum number of field elements the instance handles -// used to derived n, the number of polynomials in A, and max size of instance's internal buffer. -func NewRSis(seed int64, logTwoDegree, logTwoBound, maxNbElementsToHash int) (*RSis, error) { - - if logTwoBound > 64 { - return nil, errors.New("logTwoBound too large") - } - if bits.UintSize == 32 { - return nil, errors.New("unsupported architecture; need 64bit target") - } - - degree := 1 << logTwoDegree - capacity := maxNbElementsToHash * fr.Bytes - - // n: number of polynomials in A - // len(m) == degree * n - // with each element in m being logTwoBounds bits from the instance buffer. - // that is, to fill m, we need [degree * n * logTwoBound] bits of data - // capacity == [degree * n * logTwoBound] / 8 - // n == (capacity*8)/(degree*logTwoBound) - - // First n <- #limbs to represent a single field element - n := (fr.Bytes * 8) / logTwoBound - if n*logTwoBound < fr.Bytes*8 { - n++ - } - - // Then multiply by the number of field elements - n *= maxNbElementsToHash - - // And divide (+ ceil) to get the number of polynomials - if n%degree == 0 { - n /= degree - } else { - n /= degree // number of polynomials - n++ - } - - // domains (shift is √{gen} ) - var shift fr.Element - shift.SetString("19103219067921713944291392827692070036145651957329286315305642004821462161904") // -> 2²⁸-th root of unity of bn254 - e := int64(1 << (28 - (logTwoDegree + 1))) - shift.Exp(shift, big.NewInt(e)) - - r := &RSis{ - LogTwoBound: logTwoBound, - capacity: capacity, - Degree: degree, - Domain: fft.NewDomain(uint64(degree), shift), - A: make([][]fr.Element, n), - Ag: make([][]fr.Element, n), - bufM: make(fr.Vector, degree*n), - bufRes: make(fr.Vector, degree), - bufMValues: bitset.New(uint(n)), - maxNbElementsToHash: maxNbElementsToHash, - } - - // filling A - a := make([]fr.Element, n*r.Degree) - ag := make([]fr.Element, n*r.Degree) - - parallel.Execute(n, func(start, end int) { - var buf bytes.Buffer - for i := start; i < end; i++ { - rstart, rend := i*r.Degree, (i+1)*r.Degree - r.A[i] = a[rstart:rend:rend] - r.Ag[i] = ag[rstart:rend:rend] - for j := 0; j < r.Degree; j++ { - r.A[i][j] = genRandom(seed, int64(i), int64(j), &buf) - } - - // fill Ag the evaluation form of the polynomials in A on the coset √(g) * - copy(r.Ag[i], r.A[i]) - r.Domain.FFT(r.Ag[i], fft.DIF, fft.OnCoset()) - } - }) - // TODO @gbotrel add nbtasks here; while in tests it's more convenient to parallelize - // in tensor-commitment we may not want to do that. - - return r, nil -} - -func (r *RSis) Write(p []byte) (n int, err error) { - r.buffer.Write(p) - return len(p), nil -} - -// Sum appends the current hash to b and returns the resulting slice. -// It does not change the underlying hash state. -// The instance buffer is interpreted as a sequence of coefficients of size r.Bound bits long. -// The function returns the hash of the polynomial as a a sequence []fr.Elements, interpreted as []bytes, -// corresponding to sum_i A[i]*m Mod X^{d}+1 -func (r *RSis) Sum(b []byte) []byte { - buf := r.buffer.Bytes() - if len(buf) > r.capacity { - panic("buffer too large") - } - - // clear the buffers of the instance. - defer r.cleanupBuffers() - - m := r.bufM - mValues := r.bufMValues - limbDecomposeBytes(buf, m, r.LogTwoBound, r.Degree, mValues) - - // we can hash now. - res := r.bufRes - - // method 1: fft - for i := 0; i < len(r.Ag); i++ { - if !mValues.Test(uint(i)) { - // means m[i*r.Degree : (i+1)*r.Degree] == [0...0] - // we can skip this, FFT(0) = 0 - continue - } - k := m[i*r.Degree : (i+1)*r.Degree] - r.Domain.FFT(k, fft.DIF, fft.OnCoset(), fft.WithNbTasks(1)) - mulModAcc(res, r.Ag[i], k) - } - r.Domain.FFTInverse(res, fft.DIT, fft.OnCoset(), fft.WithNbTasks(1)) // -> reduces mod Xᵈ+1 - - resBytes, err := res.MarshalBinary() - if err != nil { - panic(err) - } - - return append(b, resBytes[4:]...) // first 4 bytes are uint32(len(res)) -} - -// Reset resets the Hash to its initial state. -func (r *RSis) Reset() { - r.buffer.Reset() -} - -// Size returns the number of bytes Sum will return. -func (r *RSis) Size() int { - - // The size in bits is the size in bits of a polynomial in A. - degree := len(r.A[0]) - totalSize := degree * fr.Modulus().BitLen() / 8 - - return totalSize -} - -// BlockSize returns the hash's underlying block size. -// The Write method must be able to accept any amount -// of data, but it may operate more efficiently if all writes -// are a multiple of the block size. -func (r *RSis) BlockSize() int { - return 0 -} - -// Construct a hasher generator. It takes as input the same parameters -// as `NewRingSIS` and outputs a function which returns fresh hasher -// everytime it is called -func NewRingSISMaker(seed int64, logTwoDegree, logTwoBound, maxNbElementsToHash int) (func() hash.Hash, error) { - return func() hash.Hash { - h, err := NewRSis(seed, logTwoDegree, logTwoBound, maxNbElementsToHash) - if err != nil { - panic(err) - } - return h - }, nil - -} - -func genRandom(seed, i, j int64, buf *bytes.Buffer) fr.Element { - - buf.Reset() - buf.WriteString("SIS") - binary.Write(buf, binary.BigEndian, seed) - binary.Write(buf, binary.BigEndian, i) - binary.Write(buf, binary.BigEndian, j) - - digest := blake2b.Sum256(buf.Bytes()) - - var res fr.Element - res.SetBytes(digest[:]) - - return res -} - -// mulMod computes p * q in ℤ_{p}[X]/Xᵈ+1. -// Is assumed that pLagrangeShifted and qLagrangeShifted are of the correct sizes -// and that they are in evaluation form on √(g) * -// The result is not FFTinversed. The fft inverse is done once every -// multiplications are done. -func mulMod(pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) []fr.Element { - - res := make([]fr.Element, len(pLagrangeCosetBitReversed)) - for i := 0; i < len(pLagrangeCosetBitReversed); i++ { - res[i].Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) - } - - // NOT fft inv for now, wait until every part of the keys have been multiplied - // r.Domain.FFTInverse(res, fft.DIT, true) - - return res - -} - -// mulMod + accumulate in res. -func mulModAcc(res []fr.Element, pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) { - var t fr.Element - for i := 0; i < len(pLagrangeCosetBitReversed); i++ { - t.Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) - res[i].Add(&res[i], &t) - } -} - -// Returns a clone of the RSis parameters with a fresh and empty buffer. Does not -// mutate the current instance. The keys and the public parameters of the SIS -// instance are not deep-copied. It is useful when we want to hash in parallel. -// Otherwise, we would have to generate an entire RSis for each thread. -func (r *RSis) CopyWithFreshBuffer() RSis { - res := *r - res.buffer = bytes.Buffer{} - res.bufM = make(fr.Vector, len(r.bufM)) - res.bufMValues = bitset.New(r.bufMValues.Len()) - res.bufRes = make(fr.Vector, len(r.bufRes)) - return res -} - -// Cleanup the buffers of the RSis instance -func (r *RSis) cleanupBuffers() { - r.bufMValues.ClearAll() - for i := 0; i < len(r.bufM); i++ { - r.bufM[i].SetZero() - } - for i := 0; i < len(r.bufRes); i++ { - r.bufRes[i].SetZero() - } -} - -// Split an slice of bytes representing an array of serialized field element in -// big-endian form into an array of limbs representing the same field elements -// in little-endian form. Namely, if our field is represented with 64 bits and we -// have the following field element 0x0123456789abcdef (0 being the most significant -// character and and f being the least significant one) and our log norm bound is -// 16 (so 1 hex character = 1 limb). The function assigns the values of m to [f, e, -// d, c, b, a, ..., 3, 2, 1, 0]. m should be preallocated and zeroized. Additionally, -// we have the guarantee that 2 bits contributing to different field elements cannot -// be part of the same limb. -func LimbDecomposeBytes(buf []byte, m fr.Vector, logTwoBound int) { - limbDecomposeBytes(buf, m, logTwoBound, 0, nil) -} - -// Split an slice of bytes representing an array of serialized field element in -// big-endian form into an array of limbs representing the same field elements -// in little-endian form. Namely, if our field is represented with 64 bits and we -// have the following field element 0x0123456789abcdef (0 being the most significant -// character and and f being the least significant one) and our log norm bound is -// 16 (so 1 hex character = 1 limb). The function assigns the values of m to [f, e, -// d, c, b, a, ..., 3, 2, 1, 0]. m should be preallocated and zeroized. mValues is -// an optional bitSet. If provided, it must be empty. The function will set bit "i" -// to indicate the that i-th SIS input polynomial should be non-zero. Recall, that a -// SIS polynomial corresponds to a chunk of limbs of size `degree`. Additionally, -// we have the guarantee that 2 bits contributing to different field elements cannot -// be part of the same limb. -func limbDecomposeBytes(buf []byte, m fr.Vector, logTwoBound, degree int, mValues *bitset.BitSet) { - - // bitwise decomposition of the buffer, in order to build m (the vector to hash) - // as a list of polynomials, whose coefficients are less than r.B bits long. - // Say buf=[0xbe,0x0f]. As a stream of bits it is interpreted like this: - // 10111110 00001111. BitAt(0)=1 (=leftmost bit), bitAt(1)=0 (=second leftmost bit), etc. - nbBits := len(buf) * 8 - bitAt := func(i int) uint8 { - k := i / 8 - if k >= len(buf) { - return 0 - } - b := buf[k] - j := i % 8 - return b >> (7 - j) & 1 - } - - // we process the input buffer by blocks of r.LogTwoBound bits - // each of these block (<< 64bits) are interpreted as a coefficient - mPos := 0 - for fieldStart := 0; fieldStart < nbBits; { - for bitInField := 0; bitInField < fr.Bytes*8; { - - j := bitInField % logTwoBound - - // r.LogTwoBound < 64; we just use the first word of our element here, - // and set the bits from LSB to MSB. - at := fieldStart + fr.Bytes*8 - bitInField - 1 - m[mPos][0] |= uint64(bitAt(at) << j) - bitInField++ - - // Check if mPos is zero and mark as non-zero in the bitset if not - if m[mPos][0] > 0 && mValues != nil { - mValues.Set(uint(mPos / degree)) - } - - if j == logTwoBound-1 || bitInField == fr.Bytes*8 { - mPos++ - } - } - fieldStart += fr.Bytes * 8 - } -} diff --git a/ecc/bn254/fr/swifft/swifft.sage b/ecc/bn254/fr/swifft/swifft.sage deleted file mode 100644 index 29fe873ca5..0000000000 --- a/ecc/bn254/fr/swifft/swifft.sage +++ /dev/null @@ -1,271 +0,0 @@ -## "sage sis.sage" will generate test_cases.json -## tested with a fresh sage install on macOS (Feb 2023) - -import json - -# BN254 Fr -r = 21888242871839275222246405745257275088548364400416034343698204186575808495617 -frByteSize = 32 -countToDeath = int(5) -gfr = GF(r) -Fr = GF(r) -Fr. = Fr[] -rz = IntegerRing() - -# Montgomery constant -rr = Fr(2**256) - -# utils - - -def buildPoly(a): - """ Builds a poly from the array a - - Args: - a an array - - Returns: - a[0]+a[1]*X + .. + a[n]*X**n - """ - - res = Fr(0) - for i, v in enumerate(a): - res += Fr(v)*x**i - return res - - -def bitAt(i, b): - """ - Args: - i: index of the bit to retrieve - b: array of bytes - - Returns: - the i-th bit of b, when it is written b[0] || b[1] || ... - """ - k = i//8 - if k >= len(b): - return 0 - j = i % 8 - return (b[k] >> (7-j)) & 1 - - -def toBytes(m, s): - """ - - Args: - m: a bit int - s: the expected number of bytes of the result. If s is bigger than the - number of bytes in m, the remaining bytes are set to zero. - - Returns: - the byte representation of m as a byte array, as - in gnark-crypto. - """ - _m = rz(m) - res = s*[0] - mask = 255 - for i in range(s): - res[s-1-i] = _m & 255 - _m = _m >> 8 - return res - - -def splitCoeffs(b, logTwoBound): - """ - Args: - b: an array of bytes - logTwoBound: number of bits of the bound - - Returns: - an array of coeffs, each coeff being the i-th chunk of logTwoBounds bits of b. - The coeffs are formed as follow. The input byte string is implicitly parsed as - a slice of field elements of 32 bytes each in bigendian-natural form. the outputs - are in a little-endian form. That is, each chunk of size 256 / logTwoBounds of the - output can be seen as a polynomial, such that, when evaluated at 2 we get the original - field element. - """ - nbBits = len(b)*8 - res = [] - i = 0 - - if len(b) % frByteSize != 0: - exit("the length of b should divide the field size") - - # The number of fields that we are parsing. In case we have that - # logTwoBound does not divide the number of bits to represent a - # field element, we do not merge them. - nbField = len(b) / 32 - nbBitsInField = int(frByteSize * 8) - - for fieldID in range(nbField): - fieldStart = fieldID * 256 - e = 0 - for bitInField in range(nbBitsInField): - j = bitInField % logTwoBound - at = fieldStart + nbBitsInField - 1 - bitInField - e |= bitAt(at, b) << j - # Switch to a new limb - if j == logTwoBound - 1 or bitInField == frByteSize * 8 - 1: - res.append(e) - e = 0 - - # careful Montgomery constant... - return [Fr(e)*rr**-1 for e in res] - - -def polyRand(seed, n): - """ Generates a pseudo random polynomial of size n from seed. - - Args: - seed: seed for the pseudo random gen - n: degree of the polynomial - """ - seed = gfr(seed) - a = n*[0] - for i in range(n): - a[i] = seed**2 - seed = a[i] - return buildPoly(a) - - -# SIS -class SIS: - def __init__(self, seed, logTwoDegree, logTwoBound, maxNbElementsToHash): - """ - Args: - seed - logTwoDegree: - logTwoBound: bound of SIS - maxNbElementsToHash - """ - capacity = maxNbElementsToHash * frByteSize - degree = 1 << logTwoDegree - - n = capacity * 8 / logTwoBound # number of coefficients - if n % degree == 0: # check how sage / python rounds the int div. - n = n / degree - else: - n = n / degree - n = n + 1 - - n = int(n) - - self.logTwoBound = logTwoBound - self.degree = degree - self.size = n - self.key = n * [0] - for i in range(n): - self.key[i] = polyRand(seed, self.degree) - seed += 1 - - def hash(self, inputs): - """ - Args: - inputs is a vector of Fr elements - - Returns: - the sis hash of m. - """ - b = [] - for i in inputs: - b.extend(toBytes(i, 32)) - - return self.hash_bytes(b) - - def hash_bytes(self, b): - """ - Args: - b is a list of bytes to hash - - Returns: - the sis hash of m. - """ - # step 1: build the polynomials from m - c = splitCoeffs(b, self.logTwoBound) - mp = [buildPoly(c[self.degree*i:self.degree*(i+1)]) - for i in range(self.size)] - - # step 2: compute sum_i mp[i]*key[i] mod X^n+1 - modulo = x**self.degree+1 - res = 0 - for i in range(self.size): - res += self.key[i]*mp[i] - res = res % modulo - return res - - -def vectorToString(v): - # v is a vector of field elements - # we return a list of strings in base10 - r = [] - for e in v: - r.append("0x"+rz(e).hex()) - return r - - -def SISParams(seed, logTwoDegree, logTwoBound, maxNbElementsToHash): - p = {} - p['seed'] = int(seed) - p['logTwoDegree'] = int(logTwoDegree) - p['logTwoBound'] = int(logTwoBound) - p['maxNbElementsToHash'] = int(maxNbElementsToHash) - return p - -params = [ - SISParams(5, 2, 3, 10), - SISParams(5, 4, 3, 10), - SISParams(5, 4, 4, 10), - SISParams(5, 5, 4, 10), - SISParams(5, 6, 5, 10), - SISParams(5, 10, 6, 10), - SISParams(5, 11, 7, 10), - SISParams(5, 12, 7, 10), -] - -inputs = [ - [Fr(21888242871839275222246405745257275088548364400416034343698204186575808495614)], - [Fr(1)], - [Fr(42),Fr(8000)], - [Fr(1),Fr(2), Fr(0),Fr(21888242871839275222246405745257275088548364400416034343698204186575808495616)], - [Fr(1), Fr(0)], - [Fr(0), Fr(1)], - [Fr(0)], - [Fr(0),Fr(0),Fr(0),Fr(0)], - [Fr(0),Fr(0),Fr(8000),Fr(0)], -] - -# sprinkle some random elements -for i in range(10): - line = [] - for j in range(i): - line.append(gfr.random_element()) - inputs.append(line) - -testCases = {} -testCases['inputs'] = [] -testCases['entries'] = [] - - -for i, v in enumerate(inputs): - testCases['inputs'].append(vectorToString(v)) - - -for p in params: - entry = {} - entry['params'] = p - entry['expected'] = [] - - print("generating test cases with SIS params " + json.dumps(p)) - instance = SIS(p['seed'], p['logTwoDegree'], p['logTwoBound'], p['maxNbElementsToHash']) - for i, v in enumerate(inputs): - # hash the vector - hResult = instance.hash(v) - entry['expected'].append(vectorToString(hResult)) - - testCases['entries'].append(entry) - - -testCases_json = json.dumps(testCases, indent=4) -with open("test_cases.json", "w") as outfile: - outfile.write(testCases_json) diff --git a/ecc/bn254/fr/swifft/swifft_test.go b/ecc/bn254/fr/swifft/swifft_test.go deleted file mode 100644 index 88c0c23f90..0000000000 --- a/ecc/bn254/fr/swifft/swifft_test.go +++ /dev/null @@ -1,458 +0,0 @@ -// Copyright 2023 ConsenSys Software Inc. -// -// 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. - -package swifft - -import ( - "bytes" - "encoding/binary" - "encoding/json" - "fmt" - "io" - "io/ioutil" - "math/bits" - "testing" - "time" - - "github.com/consensys/gnark-crypto/ecc/bn254/fr" - "github.com/consensys/gnark-crypto/ecc/bn254/fr/fft" - "github.com/stretchr/testify/require" -) - -type sisParams struct { - logTwoBound, logTwoDegree int -} - -var params128Bits []sisParams = []sisParams{ - {logTwoBound: 2, logTwoDegree: 3}, - {logTwoBound: 4, logTwoDegree: 4}, - {logTwoBound: 6, logTwoDegree: 5}, - {logTwoBound: 10, logTwoDegree: 6}, - {logTwoBound: 16, logTwoDegree: 7}, - {logTwoBound: 32, logTwoDegree: 8}, -} - -type TestCases struct { - Inputs [][]fr.Element `json:"inputs"` - Entries []struct { - Params struct { - Seed int64 `json:"seed"` - LogTwoDegree int `json:"logTwoDegree"` - LogTwoBound int `json:"logTwoBound"` - MaxNbElementsToHash int `json:"maxNbElementsToHash"` - } `json:"params"` - Expected [][]fr.Element `json:"expected"` - } `json:"entries"` -} - -func TestReference(t *testing.T) { - if bits.UintSize == 32 { - t.Skip("skipping this test in 32bit.") - } - assert := require.New(t) - - // read the test case file - var testCases TestCases - data, err := ioutil.ReadFile("test_cases.json") - assert.NoError(err, "reading test cases failed") - err = json.Unmarshal(data, &testCases) - assert.NoError(err, "reading test cases failed") - - for testCaseID, testCase := range testCases.Entries { - // create the SIS instance - sis, err := NewRSis(testCase.Params.Seed, testCase.Params.LogTwoDegree, testCase.Params.LogTwoBound, testCase.Params.MaxNbElementsToHash) - assert.NoError(err) - - // key generation same than in sage - makeKeyDeterministic(t, sis, testCase.Params.Seed) - - for i, in := range testCases.Inputs { - sis.Reset() - - // hash test case entry input and compare with expected (computed by sage) - got, err := sis.Hash(in) - assert.NoError(err) - if len(testCase.Expected[i]) == 0 { - for _, e := range got { - assert.True(e.IsZero(), "mismatch between reference test and computed value") - } - } else { - assert.EqualValues( - testCase.Expected[i], got, - "mismatch between reference test and computed value (testcase %v - input n° %v)", - testCaseID, i, - ) - } - - // ensure max nb elements to hash has no incidence on result. - if len(in) < testCase.Params.MaxNbElementsToHash { - sis2, err := NewRSis(testCase.Params.Seed, testCase.Params.LogTwoDegree, testCase.Params.LogTwoBound, len(in)) - assert.NoError(err) - makeKeyDeterministic(t, sis2, testCase.Params.Seed) - - got2, err := sis2.Hash(in) - assert.NoError(err) - if len(testCase.Expected[i]) == 0 { - for _, e := range got2 { - assert.True(e.IsZero(), "mismatch between reference test and computed value") - } - } else { - assert.EqualValues(got, got2, "max nb elements to hash change SIS result") - } - } - - } - } - -} - -func TestMulMod(t *testing.T) { - - size := 4 - - p := make([]fr.Element, size) - p[0].SetString("2389") - p[1].SetString("987192") - p[2].SetString("623") - p[3].SetString("91") - - q := make([]fr.Element, size) - q[0].SetString("76755") - q[1].SetString("232893720") - q[2].SetString("989273") - q[3].SetString("675273") - - // creation of the domain - var shift fr.Element - shift.SetString("19540430494807482326159819597004422086093766032135589407132600596362845576832") - domain := fft.NewDomain(uint64(size), shift) - - // mul mod - domain.FFT(p, fft.DIF, fft.OnCoset()) - domain.FFT(q, fft.DIF, fft.OnCoset()) - r := mulMod(p, q) - domain.FFTInverse(r, fft.DIT, fft.OnCoset()) - - // expected result - expectedr := make([]fr.Element, 4) - expectedr[0].SetString("21888242871839275222246405745257275088548364400416034343698204185887558114297") - expectedr[1].SetString("631644300118") - expectedr[2].SetString("229913166975959") - expectedr[3].SetString("1123315390878") - - for i := 0; i < 4; i++ { - if !expectedr[i].Equal(&r[i]) { - t.Fatal("product failed") - } - } - -} - -// Test the fact that the limb decomposition allows obtaining the original -// field element by evaluating the polynomial whose the coeffiients are the -// limbs. -func TestLimbDecomposition(t *testing.T) { - - // Skipping the test for 32 bits - if bits.UintSize == 32 { - t.Skip("skipping this test in 32bit.") - } - - sis, _ := NewRSis(0, 4, 4, 3) - - testcases := []fr.Vector{ - {fr.One()}, - {fr.NewElement(2)}, - {fr.NewElement(1 << 32), fr.NewElement(2), fr.NewElement(1)}, - } - - for _, testcase := range testcases { - - // clean the sis hasher - sis.bufMValues.ClearAll() - for i := 0; i < len(sis.bufM); i++ { - sis.bufM[i].SetZero() - } - for i := 0; i < len(sis.bufRes); i++ { - sis.bufRes[i].SetZero() - } - - buf := bytes.Buffer{} - for _, x := range testcase { - xBytes := x.Bytes() - buf.Write(xBytes[:]) - } - limbDecomposeBytes(buf.Bytes(), sis.bufM, sis.LogTwoBound, sis.Degree, sis.bufMValues) - - // Just to test, this does not return panic - dummyBuffer := make(fr.Vector, 192) - LimbDecomposeBytes(buf.Bytes(), dummyBuffer, sis.LogTwoBound) - - // b is a field element representing the max norm bound - // used for limb splitting the input field elements. - b := fr.NewElement(1 << sis.LogTwoBound) - numLimbsPerField := fr.Bytes * 8 / sis.LogTwoBound - - // Compute r (corresponds to the Montgommery constant) - var r fr.Element - r.SetString("6350874878119819312338956282401532410528162663560392320966563075034087161851") - - // Attempt to recompose the entry #i in the test-case - for i := range testcase { - // allegedly corresponds to the limbs of the entry i - subRes := sis.bufM[i*numLimbsPerField : (i+1)*numLimbsPerField] - - // performs a Horner evaluation of subres by b - var y fr.Element - for j := numLimbsPerField - 1; j >= 0; j-- { - y.Mul(&y, &b) - y.Add(&y, &subRes[j]) - } - - y.Mul(&y, &r) - require.Equal(t, testcase[i].String(), y.String(), "the subRes was %v", subRes) - } - } -} - -func makeKeyDeterministic(t *testing.T, sis *RSis, _seed int64) { - t.Helper() - // generate the key deterministically, the same way - // we do in sage to generate the test vectors. - - polyRand := func(seed fr.Element, deg int) []fr.Element { - res := make([]fr.Element, deg) - for i := 0; i < deg; i++ { - res[i].Square(&seed) - seed.Set(&res[i]) - } - return res - } - - var seed, one fr.Element - one.SetOne() - seed.SetInt64(_seed) - for i := 0; i < len(sis.A); i++ { - sis.A[i] = polyRand(seed, sis.Degree) - copy(sis.Ag[i], sis.A[i]) - sis.Domain.FFT(sis.Ag[i], fft.DIF, fft.OnCoset()) - seed.Add(&seed, &one) - } -} - -const ( - LATENCY_MUL_FIELD_NS int = 18 - LATENCY_ADD_FIELD_NS int = 4 -) - -// Estimate the theoretical performances that are achievable using ring-SIS -// operations. The time is obtained by counting the number of additions and -// multiplications occurring in the computation. This does not account for the -// possibilities to use SIMD instructions or for cache-locality issues. Thus, it -// does not represents a maximum even though it returns a good idea of what is -// achievable . This returns performances in term of ns/field. This also does not -// account for the time taken for "limb-splitting" the input. -func estimateSisTheory(p sisParams) float64 { - - // Since the FFT occurs over a coset, we need to multiply all the coefficients - // of the input by some coset factors (for an entire polynomial) - timeCosetShift := (1 << p.logTwoDegree) * LATENCY_MUL_FIELD_NS - - // The two additions are from the butterfly, and the multiplication represents - // the one by the twiddle. (for an entire polynomial) - timeFFT := (1 << p.logTwoDegree) * p.logTwoDegree * (2*LATENCY_ADD_FIELD_NS + LATENCY_MUL_FIELD_NS) - - // Time taken to multiply by the key and accumulate (for an entire polynomial) - timeMulAddKey := (1 << p.logTwoDegree) * (LATENCY_MUL_FIELD_NS + LATENCY_ADD_FIELD_NS) - - // Total computation time for an entire polynomial - totalTimePoly := timeCosetShift + timeFFT + timeMulAddKey - - // Convert this into a time per input field - r := totalTimePoly * fr.Bits / p.logTwoBound / (1 << p.logTwoDegree) - return float64(r) -} - -func BenchmarkSIS(b *testing.B) { - - // max nb field elements to hash - const nbInputs = 1 << 16 - - // Assign the input with random bytes. In practice, theses bytes encodes - // a string of field element. It would be more meaningful to take a slice - // of field element directly because otherwise the conversion time is not - // accounted for in the benchmark. - inputs := make(fr.Vector, nbInputs) - for i := 0; i < len(inputs); i++ { - inputs[i].SetRandom() - } - - for _, param := range params128Bits { - for n := 1 << 10; n <= nbInputs; n <<= 1 { - in := inputs[:n] - benchmarkSIS(b, in, false, param.logTwoBound, param.logTwoDegree, estimateSisTheory(param)) - } - - } -} - -func benchmarkSIS(b *testing.B, input []fr.Element, sparse bool, logTwoBound, logTwoDegree int, theoretical float64) { - b.Helper() - - n := len(input) - - benchName := "ring-sis/" - if sparse { - benchName += "sparse/" - } - benchName += fmt.Sprintf("inputs=%v/log2-bound=%v/log2-degree=%v", n, logTwoBound, logTwoDegree) - - b.Run(benchName, func(b *testing.B) { - instance, err := NewRSis(0, logTwoDegree, logTwoBound, n) - if err != nil { - b.Fatal(err) - } - - // We introduce a custom metric which is the time per field element - // Since the benchmark object allows to report extra meta but does - // not allow accessing them. We measure the time ourself. - - startTime := time.Now() - b.ResetTimer() - for i := 0; i < b.N; i++ { - _, err = instance.Hash(input) - if err != nil { - b.Fatal(err) - } - } - b.StopTimer() - - totalDuration := time.Since(startTime) - nsPerField := totalDuration.Nanoseconds() / int64(b.N) / int64(n) - - b.ReportMetric(float64(nsPerField), "ns/field") - - b.ReportMetric(theoretical, "ns/field(theory)") - - }) -} - -// Hash interprets the input vector as a sequence of coefficients of size r.LogTwoBound bits long, -// and return the hash of the polynomial corresponding to the sum sum_i A[i]*m Mod X^{d}+1 -// -// It is equivalent to calling r.Write(element.Marshal()); outBytes = r.Sum(nil); -// ! note @gbotrel: this is a place holder, may not make sense -func (r *RSis) Hash(v []fr.Element) ([]fr.Element, error) { - if len(v) > r.maxNbElementsToHash { - return nil, fmt.Errorf("can't hash more than %d elements with params provided in constructor", r.maxNbElementsToHash) - } - - r.Reset() - for _, e := range v { - r.Write(e.Marshal()) - } - sum := r.Sum(nil) - var rlen [4]byte - binary.BigEndian.PutUint32(rlen[:], uint32(len(sum)/fr.Bytes)) - reader := io.MultiReader(bytes.NewReader(rlen[:]), bytes.NewReader(sum)) - var result fr.Vector - _, err := result.ReadFrom(reader) - if err != nil { - return nil, err - } - return result, nil -} - -// Hash version without mem copy -// // Hash interprets the input vector as a sequence of coefficients of size r.LogTwoBound bits long, -// // and return the hash of the polynomial corresponding to the sum sum_i A[i]*m Mod X^{d}+1 -// // -// // It is equivalent to calling r.Write(element.Marshal()); outBytes = r.Sum(nil); -// func (r *RSis) Hash(v []fr.Element) ([]fr.Element, error) { -// if len(v) > r.maxNbElementsToHash { -// return nil, fmt.Errorf("can't hash more than %d elements with params provided in constructor", r.maxNbElementsToHash) -// } - -// // clear the buffers of the instance. -// defer func() { -// r.bufMValues.ClearAll() -// for i := 0; i < len(r.bufM); i++ { -// r.bufM[i].SetZero() -// } -// }() - -// // bitwise decomposition of the buffer, in order to build m (the vector to hash) -// // as a list of polynomials, whose coefficients are less than r.B bits long. - -// bitAt := func(v []fr.Element, i int) uint8 { -// // v --> slice of bits -// // return bit at position i -// const n = fr.Bytes * 8 // nb bits per element -// nbBits := len(v) * n - -// if i >= nbBits { -// return 0 -// } - -// eIndex := i / n -// i %= n - -// // we want bit i of v[eIndex] -// j := i / 64 -// return uint8(v[eIndex][j] >> (i % 64) & 1) - -// } - -// // now we can construct m. The input to hash consists of the polynomials -// // m[k*r.Degree:(k+1)*r.Degree] -// m := r.bufM - -// // mark blocks m[i*r.Degree : (i+1)*r.Degree] != [0...0] -// mValues := r.bufMValues - -// // we process the input buffer by blocks of r.LogTwoBound bits -// // each of these block (<< 64bits) are interpreted as a coefficient -// mPos := 0 -// nbBits := len(v) * fr.Bytes * 8 -// for i := 0; i < nbBits; mPos++ { -// for j := 0; j < r.LogTwoBound; j++ { -// // r.LogTwoBound < 64; we just use the first word of our element here, -// // and set the bits from LSB to MSB. -// m[mPos][0] |= uint64(bitAt(v, i) << j) -// i++ -// } -// if m[mPos][0] == 0 { -// continue -// } -// mValues.Set(uint(mPos / r.Degree)) -// } - -// // we can hash now. -// res := make(fr.Vector, r.Degree) - -// // method 1: fft -// for i := 0; i < len(r.Ag); i++ { -// if !mValues.Test(uint(i)) { -// // means m[i*r.Degree : (i+1)*r.Degree] == [0...0] -// // we can skip this, FFT(0) = 0 -// continue -// } -// k := m[i*r.Degree : (i+1)*r.Degree] -// r.Domain.FFT(k, fft.DIF, fft.OnCoset(), fft.WithNbTasks(1)) -// mulModAcc(res, r.Ag[i], k) -// } -// r.Domain.FFTInverse(res, fft.DIT, fft.OnCoset(), fft.WithNbTasks(1)) // -> reduces mod Xᵈ+1 - -// return res, nil -// } diff --git a/ecc/bn254/fr/swifft/test_cases.json b/ecc/bn254/fr/swifft/test_cases.json deleted file mode 100644 index 0c510be29d..0000000000 --- a/ecc/bn254/fr/swifft/test_cases.json +++ /dev/null @@ -1,117269 +0,0 @@ -{ - "inputs": [ - [ - "0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593effffffe" - ], - [ - "0x1" - ], - [ - "0x2a", - "0x1f40" - ], - [ - "0x1", - "0x2", - "0x0", - "0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000" - ], - [ - "0x1", - "0x0" - ], - [ - "0x0", - "0x1" - ], - [ - "0x0" - ], - [ - "0x0", - "0x0", - "0x0", - "0x0" - ], - [ - "0x0", - "0x0", - "0x1f40", - "0x0" - ], - [], - [ - "0x209380554d9bfcc80d188d662c2a4770308a5f2e27aa6e8ceeb2a53c6c0173d1" - ], - [ - "0x13dbb9f2161c4aa4a98018373a516327fbeaec0895ae261e28638d70b542d2d4", - "0x21e56ded404a8204175893db3b661b30df2be2d1df2973cda367303354d09541" - ], - [ - "0x251f07678b99d4e88deeb42002e54cc927294021dff580ed0d3480d1e8f2e471", - "0x24aa770fdcac7e2fd7dbd66ec107ab99bbf9cf61effaf03b7cc12e9fe8d348f", - 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"0x1128737b3731fdca47ae27c0c1345d33a614c4bbcccad17d07c77209f6652405", - "0x1e4c40caa5486faeeb61a9c816b530347c6f3c375555c33179964cd9c2c6c7c2" - ] - ] - } - ] -} \ No newline at end of file diff --git a/ecc/bn254/fr/swifft/utils.tmp b/ecc/bn254/fr/swifft/utils.tmp deleted file mode 100644 index 445d1ef5b5..0000000000 --- a/ecc/bn254/fr/swifft/utils.tmp +++ /dev/null @@ -1,266 +0,0 @@ -// Copyright 2020 ConsenSys Software Inc. -// -// 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. - -package sis - -import ( - "math/bits" - - "github.com/consensys/gnark-crypto/ecc/bn254/fr" -) - -// MulMod computes p * q in ℤ_{p}[X]/Xᵈ+1. -// Is assumed that pLagrangeShifted and qLagrangeShifted are of the corret sizes -// and that they are in evaluation form on √(g) * -// The result is not FFTinversed. The fft inverse is done once every -// multiplications are done. -func MulMod(pLagrangeCosetBitReversed, qLagrangeCosetBitReversed []fr.Element) []fr.Element { - - res := make([]fr.Element, len(pLagrangeCosetBitReversed)) - for i := 0; i < len(pLagrangeCosetBitReversed); i++ { - res[i].Mul(&pLagrangeCosetBitReversed[i], &qLagrangeCosetBitReversed[i]) - } - - // NOT fft inv for now, wait until every part of the keys have been multiplied - // r.Domain.FFTInverse(res, fft.DIT, true) - - return res - -} - -// naiveMul computes the naive multiplication between polynomials -// of the same size. The polynomials (inputs and outputs) are in -// canonical form. -// /!\ The size check is not done in the function /!\ -func naiveMul(p, q []fr.Element) []fr.Element { - - n := len(p) - res := make([]fr.Element, 2*n) - - // q[0]*p + q[1]*p + .. + q[n-1]*p - var tmp fr.Element - for i := 0; i < len(q); i++ { - for j := 0; j < len(p); j++ { - tmp.Mul(&q[i], &p[j]) - res[i+j].Add(&res[i+j], &tmp) - } - } - return res -} - -// naiveReduction computes p Mod X^d+1. -// It assumes that len(p)>=d. -// /!\ The size check is not done in the function /!\ -func naiveReduction(p []fr.Element, d int) []fr.Element { - n := len(p) - res := make([]fr.Element, n) - copy(res, p) - for n > d { - res[n-d-1].Sub(&res[n-d-1], &res[n-1]) - n-- - } - return res[:d] -} - -// naiveMulMod computes a*b mod X^d+1, where d=len(a). -// It is supposed that len(a) = len(b). -// /!\ The size check is not done in the function /!\ -func naiveMulMod(p, q []fr.Element) []fr.Element { - - d := len(p) - res := make([]fr.Element, d) - - var tmp fr.Element - for i := 0; i < d; i++ { - for j := 0; j < d-i; j++ { - tmp.Mul(&p[j], &q[i]) - res[i+j].Add(&tmp, &res[i+j]) - } - for j := d - i; j < d; j++ { - tmp.Mul(&p[j], &q[i]) - res[j-d+i].Sub(&res[j-d+i], &tmp) - } - } - - return res -} - -// naiveMulMod2 naiveMulMod with hardcoded degree = 2 -// p is of short norm. -func naiveMulMod2(p, q []fr.Element) [2]fr.Element { - - d := len(p) - var res [2]fr.Element - - var tmp fr.Element - - // (p0+p1*X)*(q0+q1*X) mod X^2+1 = p0q0-p1q1 + (p0q1+p1q0)*X - // strategy: - // (p0+p1)*(q0-q1) (1) - // (p0+p1)*(q0+q1) (2) - // (p0-p1)*(q0+q1) (3) - // - // (1) + (3) >> 1 = p0q0-p1q1 - // - - for i := 0; i < d; i++ { - for j := 0; j < d-i; j++ { - tmp.Mul(&p[j], &q[i]) - res[i+j].Add(&tmp, &res[i+j]) - } - for j := d - i; j < d; j++ { - tmp.Mul(&p[j], &q[i]) - res[j-d+i].Sub(&res[j-d+i], &tmp) - } - } - - return res -} - -// write pols[i] = anX^n + .. + a0, then return the number p_i = a0||..||an -// choices are the possible values of the a_i. -// nbBitsBound is the number of bits of the bound. -func selectIndex(p []fr.Element, choices []fr.Element, nbBitsBound int) int { - r := 0 - for i := len(p) - 1; i >= 0; i-- { - for j := 1; j < len(choices); j++ { // don't count 0 - if p[i].Equal(&choices[j]) { - r += (j << (nbBitsBound * i)) - break - } - } - } - return r -} - -// write pols[i] = anX^n + .. + a0, then write the number p_i = a0||..||an -// and set bucket[p_i] = i. -// The a_i are small (3 bits max) and bounded by bound, and n is small. -// nbBuckets number of possible buckets (it's bound**degree where degree is the -// / degree of the polynomials at play) -// bound is a power of 2. -func fillBuckets(pols [][]fr.Element, nbBuckets int, bound int) [][]int { - - res := make([][]int, nbBuckets) - for i := 0; i < nbBuckets; i++ { - res[i] = make([]int, 0, nbBuckets) - } - - choices := make([]fr.Element, nbBuckets) - for i := 0; i < nbBuckets; i++ { - choices[i].SetUint64(uint64(i)) - } - nbBitsBound := bits.TrailingZeros(uint(bound)) - nbPols := len(pols) - for i := 0; i < nbPols; i++ { - ind := selectIndex(pols[i], choices, nbBitsBound) - res[ind] = append(res[ind], i) - } - // parallel.Execute(nbPols, func(start, end int) { - // for i := start; i < end; i++ { - // ind := selectIndex(pols[i], choices, nbBitsBound) - // res[ind] = append(res[ind], i) - // } - // }) - - return res -} - -// addPolys p <- p + q -// p and q are assumed to be of the same size. -func addPolys(p, q []fr.Element) { - for i := 0; i < len(p); i++ { - p[i].Add(&p[i], &q[i]) - } -} - -// accumulateSums returns a list l of len(bucketsList) polynomials, -// such that l[i] = \sum_{k\in\bucketsList[i]}polys[k] -// degree is the degree of the polynomials -func accumulateSums(polys [][]fr.Element, bucketsList [][]int, degree int) [][]fr.Element { - - nbBuckets := len(bucketsList) - - res := make([][]fr.Element, nbBuckets) - for i := 0; i < nbBuckets; i++ { - res[i] = make([]fr.Element, degree) - } - - // to parallelise - // parallel.Execute(nbBuckets, func(start, end int) { - // for i := start; i < end; i++ { - // for j := 0; j < len(bucketsList[i]); j++ { - // addPolys(res[i], polys[bucketsList[i][j]]) - // } - // } - // }) - for i := 0; i < nbBuckets; i++ { - for j := 0; j < len(bucketsList[i]); j++ { - addPolys(res[i], polys[bucketsList[i][j]]) - } - } - - return res -} - -// buildPoly retuns \sum_ai X^i such that a_i = i-th digit (in base bound) -// of id. -// bound is supposed to be a power of two. -// degree is the degree of the expected polynomial. -func buildPoly(degree, bound, id int) []fr.Element { - res := make([]fr.Element, degree) - mask := bound - 1 - b := bits.TrailingZeros(uint(bound)) - for i := 0; i < degree; i++ { - res[i].SetUint64(uint64(id & mask)) - id = id >> b - } - return res -} - -// mulModBucketsMethod computes \sum_i p[i]*q[i] Mod X^degree+1. -// It is assumed that len(p)=len(q) and that the polynomials are -// of the same size. -// q is the list of polynomials of small norms, < bound. -// /!\ the checks on the sizes are not done in the function /!\ -func mulModBucketsMethod(p, q [][]fr.Element, bound, degree int) []fr.Element { - - // 1 - fill the buckets - nbBuckets := 1 - for i := 0; i < degree; i++ { - nbBuckets *= bound - } - buckets := fillBuckets(q, nbBuckets, bound) - - // 2 - accumulate the sums - foldedBuckets := accumulateSums(p, buckets, degree) - - // 3 - compute the multiplication on each bucket - naiveMulPerBuckets := make([][]fr.Element, nbBuckets) - for i := 0; i < nbBuckets; i++ { - b := buildPoly(degree, bound, i) - naiveMulPerBuckets[i] = naiveMulMod(foldedBuckets[i], b) - } - - // 4 - sum the results - for i := 1; i < nbBuckets; i++ { - for j := 0; j < degree; j++ { - naiveMulPerBuckets[0][j].Add(&naiveMulPerBuckets[0][j], &naiveMulPerBuckets[i][j]) - } - } - - // return res - return naiveMulPerBuckets[0] - -} From ced3076befee5c056f80ec5301438001ef5e9cdd Mon Sep 17 00:00:00 2001 From: Thomas Piellard Date: Fri, 29 Sep 2023 16:15:57 +0200 Subject: [PATCH 5/7] fix: use max(size(s1), size(s2)) for ExpGLV --- ecc/bls12-377/internal/fptower/e12.go | 15 ++++++++------- ecc/bls12-378/internal/fptower/e12.go | 15 ++++++++------- ecc/bls12-381/internal/fptower/e12.go | 15 ++++++++------- ecc/bn254/internal/fptower/e12.go | 15 ++++++++------- ecc/utils.go | 14 -------------- .../tower/template/fq12over6over2/fq12.go.tmpl | 15 ++++++++------- 6 files changed, 40 insertions(+), 49 deletions(-) diff --git a/ecc/bls12-377/internal/fptower/e12.go b/ecc/bls12-377/internal/fptower/e12.go index c051e72cbb..4505624732 100644 --- a/ecc/bls12-377/internal/fptower/e12.go +++ b/ecc/bls12-377/internal/fptower/e12.go @@ -579,12 +579,7 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - var s [2]big.Int - if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalarBig(e, &glvBasis) - } else { - s = ecc.SplitScalar(e, &glvBasis) - } + s := ecc.SplitScalar(e, &glvBasis) if s[0].Sign() == -1 { s[0].Neg(&s[0]) @@ -615,8 +610,14 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bls12-378/internal/fptower/e12.go b/ecc/bls12-378/internal/fptower/e12.go index 0b457a4e81..a904866113 100644 --- a/ecc/bls12-378/internal/fptower/e12.go +++ b/ecc/bls12-378/internal/fptower/e12.go @@ -579,12 +579,7 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - var s [2]big.Int - if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalarBig(e, &glvBasis) - } else { - s = ecc.SplitScalar(e, &glvBasis) - } + s := ecc.SplitScalar(e, &glvBasis) if s[0].Sign() == -1 { s[0].Neg(&s[0]) @@ -615,8 +610,14 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bls12-381/internal/fptower/e12.go b/ecc/bls12-381/internal/fptower/e12.go index 482e4639ae..095a79a4c0 100644 --- a/ecc/bls12-381/internal/fptower/e12.go +++ b/ecc/bls12-381/internal/fptower/e12.go @@ -579,12 +579,7 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - var s [2]big.Int - if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalarBig(e, &glvBasis) - } else { - s = ecc.SplitScalar(e, &glvBasis) - } + s := ecc.SplitScalar(e, &glvBasis) if s[0].Sign() == -1 { s[0].Neg(&s[0]) @@ -615,8 +610,14 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bn254/internal/fptower/e12.go b/ecc/bn254/internal/fptower/e12.go index 8c6528dbb4..a9f6d28e9b 100644 --- a/ecc/bn254/internal/fptower/e12.go +++ b/ecc/bn254/internal/fptower/e12.go @@ -579,12 +579,7 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - var s [2]big.Int - if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalarBig(e, &glvBasis) - } else { - s = ecc.SplitScalar(e, &glvBasis) - } + s := ecc.SplitScalar(e, &glvBasis) if s[0].Sign() == -1 { s[0].Neg(&s[0]) @@ -615,8 +610,14 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/utils.go b/ecc/utils.go index 668dbcf649..78126fc1cc 100644 --- a/ecc/utils.go +++ b/ecc/utils.go @@ -138,20 +138,6 @@ func PrecomputeLattice(r, lambda *big.Int, res *Lattice) { // ker((a,b) → a+b.λ[r]): then (u,v)=w-(s,0), and // u+v.λ=s[r]. // cf https://www.iacr.org/archive/crypto2001/21390189.pdf -func SplitScalarBig(s *big.Int, l *Lattice) [2]big.Int { - - var k1, k2 big.Int - k1.Mul(&l.V2[1], s) - k2.Mul(&l.V1[1], s).Neg(&k2) - rounding(&k1, &l.Det, &k1) - rounding(&k2, &l.Det, &k2) - - v := getVector(l, &k1, &k2) - v[0].Sub(s, &v[0]) - v[1].Neg(&v[1]) - return v -} - func SplitScalar(s *big.Int, l *Lattice) [2]big.Int { var k1, k2 big.Int diff --git a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl index 55491c1483..721ba961b1 100644 --- a/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl +++ b/internal/generator/tower/template/fq12over6over2/fq12.go.tmpl @@ -556,12 +556,7 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { table[3].Frobenius(&x) // split the scalar, modifies ±x, Frob(x) accordingly - var s [2]big.Int - if e.Cmp(fr.Modulus()) != -1 { - s = ecc.SplitScalarBig(e, &glvBasis) - } else { - s = ecc.SplitScalar(e, &glvBasis) - } + s := ecc.SplitScalar(e, &glvBasis) if s[0].Sign() == -1 { s[0].Neg(&s[0]) @@ -592,8 +587,14 @@ func (z *E12) ExpGLV(x E12, k *big.Int) *E12 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex ; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) From feaf161b4d1e53abf68b5679780ab497ef4818d4 Mon Sep 17 00:00:00 2001 From: Youssef El Housni Date: Fri, 29 Sep 2023 18:25:10 +0300 Subject: [PATCH 6/7] fix: merge and fix tests for expGLV --- ecc/bls12-377/pairing_test.go | 39 +++----------- ecc/bls12-378/pairing_test.go | 39 +++----------- ecc/bls12-381/pairing_test.go | 39 +++----------- ecc/bls24-315/pairing_test.go | 40 +++----------- ecc/bls24-317/pairing_test.go | 39 +++----------- ecc/bn254/pairing_test.go | 39 +++----------- ecc/bw6-633/pairing_test.go | 26 ---------- ecc/bw6-756/pairing_test.go | 25 --------- ecc/bw6-761/pairing_test.go | 26 ---------- .../pairing/template/tests/pairing.go.tmpl | 52 +++++-------------- 10 files changed, 60 insertions(+), 304 deletions(-) diff --git a/ecc/bls12-377/pairing_test.go b/ecc/bls12-377/pairing_test.go index ba31f3ca48..5df0961a24 100644 --- a/ecc/bls12-377/pairing_test.go +++ b/ecc/bls12-377/pairing_test.go @@ -45,7 +45,6 @@ func TestPairing(t *testing.T) { genA := GenE12() genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BLS12-377] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -64,7 +63,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BLS12-377] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -74,10 +73,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -85,40 +85,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BLS12-377] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BLS12-377] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bls12-378/pairing_test.go b/ecc/bls12-378/pairing_test.go index 50afad8b1d..b5b97a56f3 100644 --- a/ecc/bls12-378/pairing_test.go +++ b/ecc/bls12-378/pairing_test.go @@ -45,7 +45,6 @@ func TestPairing(t *testing.T) { genA := GenE12() genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BLS12-378] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -64,7 +63,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BLS12-378] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -74,10 +73,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -85,40 +85,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BLS12-378] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BLS12-378] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bls12-381/pairing_test.go b/ecc/bls12-381/pairing_test.go index fdaad95aad..04ebbbf577 100644 --- a/ecc/bls12-381/pairing_test.go +++ b/ecc/bls12-381/pairing_test.go @@ -45,7 +45,6 @@ func TestPairing(t *testing.T) { genA := GenE12() genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BLS12-381] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -64,7 +63,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BLS12-381] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -74,10 +73,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -85,40 +85,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BLS12-381] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BLS12-381] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bls24-315/pairing_test.go b/ecc/bls24-315/pairing_test.go index 000a0714f1..cb773a2145 100644 --- a/ecc/bls24-315/pairing_test.go +++ b/ecc/bls24-315/pairing_test.go @@ -46,7 +46,6 @@ func TestPairing(t *testing.T) { genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BLS24-315] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -65,7 +64,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BLS24-315] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -75,10 +74,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -86,41 +86,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BLS24-315] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(24) - - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BLS24-315] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bls24-317/pairing_test.go b/ecc/bls24-317/pairing_test.go index 0b63a60d66..c7a8c4bf18 100644 --- a/ecc/bls24-317/pairing_test.go +++ b/ecc/bls24-317/pairing_test.go @@ -46,7 +46,6 @@ func TestPairing(t *testing.T) { genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BLS24-317] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -65,7 +64,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BLS24-317] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -75,10 +74,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -86,40 +86,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BLS24-317] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BLS24-317] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bn254/pairing_test.go b/ecc/bn254/pairing_test.go index 3bc792ec9b..b6a7e43496 100644 --- a/ecc/bn254/pairing_test.go +++ b/ecc/bn254/pairing_test.go @@ -45,7 +45,6 @@ func TestPairing(t *testing.T) { genA := GenE12() genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BN254] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -64,7 +63,7 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[BN254] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element) bool { var res bool @@ -74,10 +73,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -85,40 +85,17 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } return res }, - GenE12(), - GenFr(), - )) - - properties.Property("[BN254] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, genA, - genP, + genR1, )) properties.Property("[BN254] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( diff --git a/ecc/bw6-633/pairing_test.go b/ecc/bw6-633/pairing_test.go index d4809517f7..4e966e1936 100644 --- a/ecc/bw6-633/pairing_test.go +++ b/ecc/bw6-633/pairing_test.go @@ -46,7 +46,6 @@ func TestPairing(t *testing.T) { genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BW6-633] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -65,31 +64,6 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BW6-633] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(6) - - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, - genA, - genP, - )) - properties.Property("[BW6-633] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/ecc/bw6-756/pairing_test.go b/ecc/bw6-756/pairing_test.go index 0ea87f0de9..c2e292be7b 100644 --- a/ecc/bw6-756/pairing_test.go +++ b/ecc/bw6-756/pairing_test.go @@ -46,7 +46,6 @@ func TestPairing(t *testing.T) { genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BW6-756] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -65,30 +64,6 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BW6-756] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(12) - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, - genA, - genP, - )) - properties.Property("[BW6-756] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/ecc/bw6-761/pairing_test.go b/ecc/bw6-761/pairing_test.go index c1fb3ee884..a0c51fd33a 100644 --- a/ecc/bw6-761/pairing_test.go +++ b/ecc/bw6-761/pairing_test.go @@ -46,7 +46,6 @@ func TestPairing(t *testing.T) { genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[BW6-761] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -65,31 +64,6 @@ func TestPairing(t *testing.T) { genA, )) - properties.Property("[BW6-761] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - - k := new(big.Int).SetUint64(6) - - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - - return b.Equal(&c) && c.Equal(&d) - }, - genA, - genP, - )) - properties.Property("[BW6-761] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/internal/generator/pairing/template/tests/pairing.go.tmpl b/internal/generator/pairing/template/tests/pairing.go.tmpl index 415ce266d2..f9b8e6d6ca 100644 --- a/internal/generator/pairing/template/tests/pairing.go.tmpl +++ b/internal/generator/pairing/template/tests/pairing.go.tmpl @@ -33,7 +33,6 @@ func TestPairing(t *testing.T) { {{- end}} genR1 := GenFr() genR2 := GenFr() - genP := GenFp() properties.Property("[{{ toUpper .Name}}] Having the receiver as operand (final expo) should output the same result", prop.ForAll( func(a GT) bool { @@ -53,7 +52,7 @@ func TestPairing(t *testing.T) { )) {{if not (or ( or (eq .Name "bw6-761") (eq .Name "bw6-633")) (eq .Name "bw6-756") ) }} - properties.Property("[BN254] Exp, ExpGLV results must be the same in GT", prop.ForAll( + properties.Property("[{{ toUpper .Name}}] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element, ) bool { var res bool @@ -63,10 +62,11 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) - var b, c GT + var b, c, d GT b.Exp(a, &_e) - c.ExpGLV(a, &_e) - res = b.Equal(&c) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) } // exponent < r @@ -74,47 +74,19 @@ func TestPairing(t *testing.T) { a = FinalExponentiation(&a) var _e big.Int e.BigInt(&_e) - var b, c GT + var b, c, d GT b.Exp(a, &_e) - c.ExpGLV(a, &_e) - res = res && b.Equal(&c) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) } - - return res - }, - GenE12(), - GenFr(), - )) - {{ end }} - - properties.Property("[{{ toUpper .Name}}] Exp, CyclotomicExp and ExpGLV results must be the same in GT", prop.ForAll( - func(a GT, e fp.Element) bool { - a = FinalExponentiation(&a) - - var _e, ne big.Int - {{if or (eq .Name "bw6-761") (eq .Name "bw6-633")}} - k := new(big.Int).SetUint64(6) - {{else if eq .Name "bls24-315"}} - k := new(big.Int).SetUint64(24) - {{ else }} - k := new(big.Int).SetUint64(12) - {{- end}} - e.Exp(e, k) - e.BigInt(&_e) - ne.Neg(&_e) - - var b, c, d GT - b.Exp(a, &ne) - b.Inverse(&b) - c.ExpGLV(a, &ne) - c.Conjugate(&c) - d.CyclotomicExp(a, &_e) - return b.Equal(&c) && c.Equal(&d) + return res }, genA, - genP, + genR1, )) + {{ end }} properties.Property("[{{ toUpper .Name}}] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { From aef1eef48ab992db67631dcbec1c8dc259673e5b Mon Sep 17 00:00:00 2001 From: Youssef El Housni Date: Fri, 29 Sep 2023 18:38:27 +0300 Subject: [PATCH 7/7] fix: add GT ExpGLV fix to BLS24 + BW6 --- ecc/bls24-315/internal/fptower/e24.go | 8 ++++- ecc/bls24-317/internal/fptower/e24.go | 8 ++++- ecc/bw6-633/internal/fptower/e6.go | 8 ++++- ecc/bw6-633/pairing_test.go | 35 +++++++++++++++++++ ecc/bw6-756/internal/fptower/e6.go | 8 ++++- ecc/bw6-756/pairing_test.go | 35 +++++++++++++++++++ ecc/bw6-761/internal/fptower/e6.go | 8 ++++- ecc/bw6-761/pairing_test.go | 35 +++++++++++++++++++ .../pairing/template/tests/pairing.go.tmpl | 2 -- 9 files changed, 140 insertions(+), 7 deletions(-) diff --git a/ecc/bls24-315/internal/fptower/e24.go b/ecc/bls24-315/internal/fptower/e24.go index 5a7af0fdf4..3cefb71948 100644 --- a/ecc/bls24-315/internal/fptower/e24.go +++ b/ecc/bls24-315/internal/fptower/e24.go @@ -599,8 +599,14 @@ func (z *E24) ExpGLV(x E24, k *big.Int) *E24 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1)/2 + 1; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bls24-317/internal/fptower/e24.go b/ecc/bls24-317/internal/fptower/e24.go index 85af0a8cd1..e2a9a09462 100644 --- a/ecc/bls24-317/internal/fptower/e24.go +++ b/ecc/bls24-317/internal/fptower/e24.go @@ -521,8 +521,14 @@ func (z *E24) ExpGLV(x E24, k *big.Int) *E24 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1)/2 + 1; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bw6-633/internal/fptower/e6.go b/ecc/bw6-633/internal/fptower/e6.go index c04aedc072..fe757a19c0 100644 --- a/ecc/bw6-633/internal/fptower/e6.go +++ b/ecc/bw6-633/internal/fptower/e6.go @@ -599,8 +599,14 @@ func (z *E6) ExpGLV(x E6, k *big.Int) *E6 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bw6-633/pairing_test.go b/ecc/bw6-633/pairing_test.go index 4e966e1936..18be2657d8 100644 --- a/ecc/bw6-633/pairing_test.go +++ b/ecc/bw6-633/pairing_test.go @@ -64,6 +64,41 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BW6-633] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) + } + + return res + }, + genA, + genR1, + )) + properties.Property("[BW6-633] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/ecc/bw6-756/internal/fptower/e6.go b/ecc/bw6-756/internal/fptower/e6.go index 5302874149..06f572ea8c 100644 --- a/ecc/bw6-756/internal/fptower/e6.go +++ b/ecc/bw6-756/internal/fptower/e6.go @@ -522,8 +522,14 @@ func (z *E6) ExpGLV(x E6, k *big.Int) *E6 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bw6-756/pairing_test.go b/ecc/bw6-756/pairing_test.go index c2e292be7b..9a3a4d7b4f 100644 --- a/ecc/bw6-756/pairing_test.go +++ b/ecc/bw6-756/pairing_test.go @@ -64,6 +64,41 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BW6-756] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) + } + + return res + }, + genA, + genR1, + )) + properties.Property("[BW6-756] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/ecc/bw6-761/internal/fptower/e6.go b/ecc/bw6-761/internal/fptower/e6.go index 09c1e52a89..76e63b34ef 100644 --- a/ecc/bw6-761/internal/fptower/e6.go +++ b/ecc/bw6-761/internal/fptower/e6.go @@ -522,8 +522,14 @@ func (z *E6) ExpGLV(x E6, k *big.Int) *E6 { s1 = s1.SetBigInt(&s[0]).Bits() s2 = s2.SetBigInt(&s[1]).Bits() + maxBit := s1.BitLen() + if s2.BitLen() > maxBit { + maxBit = s2.BitLen() + } + hiWordIndex := (maxBit - 1) / 64 + // loop starts from len(s1)/2 due to the bounds - for i := len(s1) / 2; i >= 0; i-- { + for i := hiWordIndex; i >= 0; i-- { mask := uint64(3) << 62 for j := 0; j < 32; j++ { res.CyclotomicSquare(&res).CyclotomicSquare(&res) diff --git a/ecc/bw6-761/pairing_test.go b/ecc/bw6-761/pairing_test.go index a0c51fd33a..023a840b03 100644 --- a/ecc/bw6-761/pairing_test.go +++ b/ecc/bw6-761/pairing_test.go @@ -64,6 +64,41 @@ func TestPairing(t *testing.T) { genA, )) + properties.Property("[BW6-761] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( + func(a GT, e fr.Element) bool { + + var res bool + + // exponent > r + { + a = FinalExponentiation(&a) + var _e big.Int + _e.SetString("169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073169893631828481842931290008859743243489098146141979830311893424751855271950692001433356165550548410610101138388623573573742608490725625288296502860183437011025036209791574001140592327223981416956942076610555083128655330944007957223952510233203018053264066056080064687038560794652180979019775788172491868553073", 10) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = b.Equal(&c) && c.Equal(&d) + } + + // exponent < r + { + a = FinalExponentiation(&a) + var _e big.Int + e.BigInt(&_e) + var b, c, d GT + b.Exp(a, &_e) + c.ExpGLV(a, &_e) + d.CyclotomicExp(a, &_e) + res = res && b.Equal(&c) && c.Equal(&d) + } + + return res + }, + genA, + genR1, + )) + properties.Property("[BW6-761] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool { var b, c, d GT diff --git a/internal/generator/pairing/template/tests/pairing.go.tmpl b/internal/generator/pairing/template/tests/pairing.go.tmpl index f9b8e6d6ca..d57110303d 100644 --- a/internal/generator/pairing/template/tests/pairing.go.tmpl +++ b/internal/generator/pairing/template/tests/pairing.go.tmpl @@ -51,7 +51,6 @@ func TestPairing(t *testing.T) { genA, )) - {{if not (or ( or (eq .Name "bw6-761") (eq .Name "bw6-633")) (eq .Name "bw6-756") ) }} properties.Property("[{{ toUpper .Name}}] Exp, CyclotomicExp and ExpGLV results must be the same in GT (small and big exponents)", prop.ForAll( func(a GT, e fr.Element, ) bool { @@ -86,7 +85,6 @@ func TestPairing(t *testing.T) { genA, genR1, )) - {{ end }} properties.Property("[{{ toUpper .Name}}] Expt(Expt) and Exp(t^2) should output the same result in the cyclotomic subgroup", prop.ForAll( func(a GT) bool {