core/vm, crypto/bls12381, params: add bls12-381 elliptic curve precompiles (#21018)

* crypto: add bls12-381 elliptic curve wrapper

* params: add bls12-381 precompile gas parameters

* core/vm: add bls12-381 precompiles

* core/vm: add bls12-381 precompile tests

* go.mod, go.sum: use latest bls12381 lib

* core/vm: move point encode/decode functions to base library

* crypto/bls12381: introduce bls12-381 library init function

* crypto/bls12381: import bls12381 elliptic curve implementation

* go.mod, go.sum: remove bls12-381 library

* remove unsued frobenious coeffs

supress warning for inp that used in asm

* add mappings tests for zero inputs

fix swu g2 minus z inverse constant

* crypto/bls12381: fix typo

* crypto/bls12381: better comments for bls12381 constants

* crypto/bls12381: swu, use single conditional for e2

* crypto/bls12381: utils, delete empty line

* crypto/bls12381: utils, use FromHex for string to big

* crypto/bls12381: g1, g2, strict length check for FromBytes

* crypto/bls12381: field_element, comparision changes

* crypto/bls12381: change swu, isogeny constants with hex values

* core/vm: fix point multiplication comments

* core/vm: fix multiexp gas calculation and lookup for g1 and g2

* core/vm: simpler imput length check for multiexp and pairing precompiles

* core/vm: rm empty multiexp result declarations

* crypto/bls12381: remove modulus type definition

* crypto/bls12381: use proper init function

* crypto/bls12381: get rid of new lines at fatal desciprtions

* crypto/bls12-381: fix no-adx assembly multiplication

* crypto/bls12-381: remove old config function

* crypto/bls12381: update multiplication backend

this commit changes mul backend to 6limb eip1962 backend

mul assign operations are dropped

* core/vm/contracts_tests: externalize test vectors for precompiles

* core/vm/contracts_test: externalize failure-cases for precompiles

* core/vm: linting

* go.mod: tiny up sum file

* core/vm: fix goimports linter issues

* crypto/bls12381: build tags for plain ASM or ADX implementation

Co-authored-by: Martin Holst Swende <martin@swende.se>
Co-authored-by: Péter Szilágyi <peterke@gmail.com>

core/vm/contracts.go

@@ -26,6 +26,7 @@ import (
 	"github.com/ethereum/go-ethereum/common/math"
 	"github.com/ethereum/go-ethereum/crypto"
 	"github.com/ethereum/go-ethereum/crypto/blake2b"
+	"github.com/ethereum/go-ethereum/crypto/bls12381"
 	"github.com/ethereum/go-ethereum/crypto/bn256"
 	"github.com/ethereum/go-ethereum/params"
 
@@ -77,6 +78,29 @@ var PrecompiledContractsIstanbul = map[common.Address]PrecompiledContract{
 	common.BytesToAddress([]byte{9}): &blake2F{},
 }
 
+// PrecompiledContractsBerlin contains the default set of pre-compiled Ethereum
+// contracts used in the Berlin release.
+var PrecompiledContractsBerlin = map[common.Address]PrecompiledContract{
+	common.BytesToAddress([]byte{1}):  &ecrecover{},
+	common.BytesToAddress([]byte{2}):  &sha256hash{},
+	common.BytesToAddress([]byte{3}):  &ripemd160hash{},
+	common.BytesToAddress([]byte{4}):  &dataCopy{},
+	common.BytesToAddress([]byte{5}):  &bigModExp{},
+	common.BytesToAddress([]byte{6}):  &bn256AddIstanbul{},
+	common.BytesToAddress([]byte{7}):  &bn256ScalarMulIstanbul{},
+	common.BytesToAddress([]byte{8}):  &bn256PairingIstanbul{},
+	common.BytesToAddress([]byte{9}):  &blake2F{},
+	common.BytesToAddress([]byte{10}): &bls12381G1Add{},
+	common.BytesToAddress([]byte{11}): &bls12381G1Mul{},
+	common.BytesToAddress([]byte{12}): &bls12381G1MultiExp{},
+	common.BytesToAddress([]byte{13}): &bls12381G2Add{},
+	common.BytesToAddress([]byte{14}): &bls12381G2Mul{},
+	common.BytesToAddress([]byte{15}): &bls12381G2MultiExp{},
+	common.BytesToAddress([]byte{16}): &bls12381Pairing{},
+	common.BytesToAddress([]byte{17}): &bls12381MapG1{},
+	common.BytesToAddress([]byte{18}): &bls12381MapG2{},
+}
+
 // RunPrecompiledContract runs and evaluates the output of a precompiled contract.
 func RunPrecompiledContract(p PrecompiledContract, input []byte, contract *Contract) (ret []byte, err error) {
 	gas := p.RequiredGas(input)
@@ -502,3 +526,426 @@ func (c *blake2F) Run(input []byte) ([]byte, error) {
 	}
 	return output, nil
 }
+
+var (
+	errBLS12381InvalidInputLength          = errors.New("invalid input length")
+	errBLS12381InvalidFieldElementTopBytes = errors.New("invalid field element top bytes")
+	errBLS12381G1PointSubgroup             = errors.New("g1 point is not on correct subgroup")
+	errBLS12381G2PointSubgroup             = errors.New("g2 point is not on correct subgroup")
+)
+
+// bls12381G1Add implements EIP-2537 G1Add precompile.
+type bls12381G1Add struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G1Add) RequiredGas(input []byte) uint64 {
+	return params.Bls12381G1AddGas
+}
+
+func (c *bls12381G1Add) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G1Add precompile.
+	// > G1 addition call expects `256` bytes as an input that is interpreted as byte concatenation of two G1 points (`128` bytes each).
+	// > Output is an encoding of addition operation result - single G1 point (`128` bytes).
+	if len(input) != 256 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	var p0, p1 *bls12381.PointG1
+
+	// Initialize G1
+	g := bls12381.NewG1()
+
+	// Decode G1 point p_0
+	if p0, err = g.DecodePoint(input[:128]); err != nil {
+		return nil, err
+	}
+	// Decode G1 point p_1
+	if p1, err = g.DecodePoint(input[128:]); err != nil {
+		return nil, err
+	}
+
+	// Compute r = p_0 + p_1
+	r := g.New()
+	g.Add(r, p0, p1)
+
+	// Encode the G1 point result into 128 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381G1Mul implements EIP-2537 G1Mul precompile.
+type bls12381G1Mul struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G1Mul) RequiredGas(input []byte) uint64 {
+	return params.Bls12381G1MulGas
+}
+
+func (c *bls12381G1Mul) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G1Mul precompile.
+	// > G1 multiplication call expects `160` bytes as an input that is interpreted as byte concatenation of encoding of G1 point (`128` bytes) and encoding of a scalar value (`32` bytes).
+	// > Output is an encoding of multiplication operation result - single G1 point (`128` bytes).
+	if len(input) != 160 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	var p0 *bls12381.PointG1
+
+	// Initialize G1
+	g := bls12381.NewG1()
+
+	// Decode G1 point
+	if p0, err = g.DecodePoint(input[:128]); err != nil {
+		return nil, err
+	}
+	// Decode scalar value
+	e := new(big.Int).SetBytes(input[128:])
+
+	// Compute r = e * p_0
+	r := g.New()
+	g.MulScalar(r, p0, e)
+
+	// Encode the G1 point into 128 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381G1MultiExp implements EIP-2537 G1MultiExp precompile.
+type bls12381G1MultiExp struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G1MultiExp) RequiredGas(input []byte) uint64 {
+	// Calculate G1 point, scalar value pair length
+	k := len(input) / 160
+	if k == 0 {
+		// Return 0 gas for small input length
+		return 0
+	}
+	// Lookup discount value for G1 point, scalar value pair length
+	maxDiscountLen := len(params.Bls12381MultiExpDiscountTable)
+	if k > maxDiscountLen {
+		k = maxDiscountLen
+	}
+	discount := params.Bls12381MultiExpDiscountTable[k-1]
+	// Calculate gas and return the result
+	return (uint64(k) * params.Bls12381G1MulGas * discount) / 1000
+}
+
+func (c *bls12381G1MultiExp) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G1MultiExp precompile.
+	// G1 multiplication call expects `160*k` bytes as an input that is interpreted as byte concatenation of `k` slices each of them being a byte concatenation of encoding of G1 point (`128` bytes) and encoding of a scalar value (`32` bytes).
+	// Output is an encoding of multiexponentiation operation result - single G1 point (`128` bytes).
+	k := len(input) / 160
+	if len(input) == 0 || len(input)%160 != 0 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	points := make([]*bls12381.PointG1, k)
+	scalars := make([]*big.Int, k)
+
+	// Initialize G1
+	g := bls12381.NewG1()
+
+	// Decode point scalar pairs
+	for i := 0; i < k; i++ {
+		off := 160 * i
+		t0, t1, t2 := off, off+128, off+160
+		// Decode G1 point
+		if points[i], err = g.DecodePoint(input[t0:t1]); err != nil {
+			return nil, err
+		}
+		// Decode scalar value
+		scalars[i] = new(big.Int).SetBytes(input[t1:t2])
+	}
+
+	// Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1)
+	r := g.New()
+	g.MultiExp(r, points, scalars)
+
+	// Encode the G1 point to 128 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381G2Add implements EIP-2537 G2Add precompile.
+type bls12381G2Add struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G2Add) RequiredGas(input []byte) uint64 {
+	return params.Bls12381G2AddGas
+}
+
+func (c *bls12381G2Add) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G2Add precompile.
+	// > G2 addition call expects `512` bytes as an input that is interpreted as byte concatenation of two G2 points (`256` bytes each).
+	// > Output is an encoding of addition operation result - single G2 point (`256` bytes).
+	if len(input) != 512 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	var p0, p1 *bls12381.PointG2
+
+	// Initialize G2
+	g := bls12381.NewG2()
+	r := g.New()
+
+	// Decode G2 point p_0
+	if p0, err = g.DecodePoint(input[:256]); err != nil {
+		return nil, err
+	}
+	// Decode G2 point p_1
+	if p1, err = g.DecodePoint(input[256:]); err != nil {
+		return nil, err
+	}
+
+	// Compute r = p_0 + p_1
+	g.Add(r, p0, p1)
+
+	// Encode the G2 point into 256 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381G2Mul implements EIP-2537 G2Mul precompile.
+type bls12381G2Mul struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G2Mul) RequiredGas(input []byte) uint64 {
+	return params.Bls12381G2MulGas
+}
+
+func (c *bls12381G2Mul) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G2MUL precompile logic.
+	// > G2 multiplication call expects `288` bytes as an input that is interpreted as byte concatenation of encoding of G2 point (`256` bytes) and encoding of a scalar value (`32` bytes).
+	// > Output is an encoding of multiplication operation result - single G2 point (`256` bytes).
+	if len(input) != 288 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	var p0 *bls12381.PointG2
+
+	// Initialize G2
+	g := bls12381.NewG2()
+
+	// Decode G2 point
+	if p0, err = g.DecodePoint(input[:256]); err != nil {
+		return nil, err
+	}
+	// Decode scalar value
+	e := new(big.Int).SetBytes(input[256:])
+
+	// Compute r = e * p_0
+	r := g.New()
+	g.MulScalar(r, p0, e)
+
+	// Encode the G2 point into 256 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381G2MultiExp implements EIP-2537 G2MultiExp precompile.
+type bls12381G2MultiExp struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381G2MultiExp) RequiredGas(input []byte) uint64 {
+	// Calculate G2 point, scalar value pair length
+	k := len(input) / 288
+	if k == 0 {
+		// Return 0 gas for small input length
+		return 0
+	}
+	// Lookup discount value for G2 point, scalar value pair length
+	maxDiscountLen := len(params.Bls12381MultiExpDiscountTable)
+	if k > maxDiscountLen {
+		k = maxDiscountLen
+	}
+	discount := params.Bls12381MultiExpDiscountTable[k-1]
+	// Calculate gas and return the result
+	return (uint64(k) * params.Bls12381G2MulGas * discount) / 1000
+}
+
+func (c *bls12381G2MultiExp) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 G2MultiExp precompile logic
+	// > G2 multiplication call expects `288*k` bytes as an input that is interpreted as byte concatenation of `k` slices each of them being a byte concatenation of encoding of G2 point (`256` bytes) and encoding of a scalar value (`32` bytes).
+	// > Output is an encoding of multiexponentiation operation result - single G2 point (`256` bytes).
+	k := len(input) / 288
+	if len(input) == 0 || len(input)%288 != 0 {
+		return nil, errBLS12381InvalidInputLength
+	}
+	var err error
+	points := make([]*bls12381.PointG2, k)
+	scalars := make([]*big.Int, k)
+
+	// Initialize G2
+	g := bls12381.NewG2()
+
+	// Decode point scalar pairs
+	for i := 0; i < k; i++ {
+		off := 288 * i
+		t0, t1, t2 := off, off+256, off+288
+		// Decode G1 point
+		if points[i], err = g.DecodePoint(input[t0:t1]); err != nil {
+			return nil, err
+		}
+		// Decode scalar value
+		scalars[i] = new(big.Int).SetBytes(input[t1:t2])
+	}
+
+	// Compute r = e_0 * p_0 + e_1 * p_1 + ... + e_(k-1) * p_(k-1)
+	r := g.New()
+	g.MultiExp(r, points, scalars)
+
+	// Encode the G2 point to 256 bytes.
+	return g.EncodePoint(r), nil
+}
+
+// bls12381Pairing implements EIP-2537 Pairing precompile.
+type bls12381Pairing struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381Pairing) RequiredGas(input []byte) uint64 {
+	return params.Bls12381PairingBaseGas + uint64(len(input)/384)*params.Bls12381PairingPerPairGas
+}
+
+func (c *bls12381Pairing) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 Pairing precompile logic.
+	// > Pairing call expects `384*k` bytes as an inputs that is interpreted as byte concatenation of `k` slices. Each slice has the following structure:
+	// > - `128` bytes of G1 point encoding
+	// > - `256` bytes of G2 point encoding
+	// > Output is a `32` bytes where last single byte is `0x01` if pairing result is equal to multiplicative identity in a pairing target field and `0x00` otherwise
+	// > (which is equivalent of Big Endian encoding of Solidity values `uint256(1)` and `uin256(0)` respectively).
+	k := len(input) / 384
+	if len(input) == 0 || len(input)%384 != 0 {
+		return nil, errBLS12381InvalidInputLength
+	}
+
+	// Initialize BLS12-381 pairing engine
+	e := bls12381.NewPairingEngine()
+	g1, g2 := e.G1, e.G2
+
+	// Decode pairs
+	for i := 0; i < k; i++ {
+		off := 384 * i
+		t0, t1, t2 := off, off+128, off+384
+
+		// Decode G1 point
+		p1, err := g1.DecodePoint(input[t0:t1])
+		if err != nil {
+			return nil, err
+		}
+		// Decode G2 point
+		p2, err := g2.DecodePoint(input[t1:t2])
+		if err != nil {
+			return nil, err
+		}
+
+		// 'point is on curve' check already done,
+		// Here we need to apply subgroup checks.
+		if !g1.InCorrectSubgroup(p1) {
+			return nil, errBLS12381G1PointSubgroup
+		}
+		if !g2.InCorrectSubgroup(p2) {
+			return nil, errBLS12381G2PointSubgroup
+		}
+
+		// Update pairing engine with G1 and G2 ponits
+		e.AddPair(p1, p2)
+	}
+	// Prepare 32 byte output
+	out := make([]byte, 32)
+
+	// Compute pairing and set the result
+	if e.Check() {
+		out[31] = 1
+	}
+	return out, nil
+}
+
+// decodeBLS12381FieldElement decodes BLS12-381 elliptic curve field element.
+// Removes top 16 bytes of 64 byte input.
+func decodeBLS12381FieldElement(in []byte) ([]byte, error) {
+	if len(in) != 64 {
+		return nil, errors.New("invalid field element length")
+	}
+	// check top bytes
+	for i := 0; i < 16; i++ {
+		if in[i] != byte(0x00) {
+			return nil, errBLS12381InvalidFieldElementTopBytes
+		}
+	}
+	out := make([]byte, 48)
+	copy(out[:], in[16:])
+	return out, nil
+}
+
+// bls12381MapG1 implements EIP-2537 MapG1 precompile.
+type bls12381MapG1 struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381MapG1) RequiredGas(input []byte) uint64 {
+	return params.Bls12381MapG1Gas
+}
+
+func (c *bls12381MapG1) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 Map_To_G1 precompile.
+	// > Field-to-curve call expects `64` bytes an an input that is interpreted as a an element of the base field.
+	// > Output of this call is `128` bytes and is G1 point following respective encoding rules.
+	if len(input) != 64 {
+		return nil, errBLS12381InvalidInputLength
+	}
+
+	// Decode input field element
+	fe, err := decodeBLS12381FieldElement(input)
+	if err != nil {
+		return nil, err
+	}
+
+	// Initialize G1
+	g := bls12381.NewG1()
+
+	// Compute mapping
+	r, err := g.MapToCurve(fe)
+	if err != nil {
+		return nil, err
+	}
+
+	// Encode the G1 point to 256 bytes
+	return g.EncodePoint(r), nil
+}
+
+// bls12381MapG2 implements EIP-2537 MapG2 precompile.
+type bls12381MapG2 struct{}
+
+// RequiredGas returns the gas required to execute the pre-compiled contract.
+func (c *bls12381MapG2) RequiredGas(input []byte) uint64 {
+	return params.Bls12381MapG2Gas
+}
+
+func (c *bls12381MapG2) Run(input []byte) ([]byte, error) {
+	// Implements EIP-2537 Map_FP2_TO_G2 precompile logic.
+	// > Field-to-curve call expects `128` bytes an an input that is interpreted as a an element of the quadratic extension field.
+	// > Output of this call is `256` bytes and is G2 point following respective encoding rules.
+	if len(input) != 128 {
+		return nil, errBLS12381InvalidInputLength
+	}
+
+	// Decode input field element
+	fe := make([]byte, 96)
+	c0, err := decodeBLS12381FieldElement(input[:64])
+	if err != nil {
+		return nil, err
+	}
+	copy(fe[48:], c0)
+	c1, err := decodeBLS12381FieldElement(input[64:])
+	if err != nil {
+		return nil, err
+	}
+	copy(fe[:48], c1)
+
+	// Initialize G2
+	g := bls12381.NewG2()
+
+	// Compute mapping
+	r, err := g.MapToCurve(fe)
+	if err != nil {
+		return nil, err
+	}
+
+	// Encode the G2 point to 256 bytes
+	return g.EncodePoint(r), nil
+}

core/vm/testdata/precompiles/blake2F.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "0000000048c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "Expected": "08c9bcf367e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d282e6ad7f520e511f6c3e2b8c68059b9442be0454267ce079217e1319cde05b",
+    "Name": "vector 4",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000c48c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "Expected": "ba80a53f981c4d0d6a2797b69f12f6e94c212f14685ac4b74b12bb6fdbffa2d17d87c5392aab792dc252d5de4533cc9518d38aa8dbf1925ab92386edd4009923",
+    "Name": "vector 5",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000c48c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000",
+    "Expected": "75ab69d3190a562c51aef8d88f1c2775876944407270c42c9844252c26d2875298743e7f6d5ea2f2d3e8d226039cd31b4e426ac4f2d3d666a610c2116fde4735",
+    "Name": "vector 6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000148c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "Expected": "b63a380cb2897d521994a85234ee2c181b5f844d2c624c002677e9703449d2fba551b3a8333bcdf5f2f7e08993d53923de3d64fcc68c034e717b9293fed7a421",
+    "Name": "vector 7",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "007A120048c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "Expected": "6d2ce9e534d50e18ff866ae92d70cceba79bbcd14c63819fe48752c8aca87a4bb7dcc230d22a4047f0486cfcfb50a17b24b2899eb8fca370f22240adb5170189",
+    "Name": "vector 8",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsG1Add.json

@@ -0,0 +1,626 @@
+[
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000572cbea904d67468808c8eb50a9450c9721db309128012543902d0ac358a62ae28f75bb8f1c7c42c39a8c5529bf0f4e00000000000000000000000000000000166a9d8cabc673a322fda673779d8e3822ba3ecb8670e461f73bb9021d5fd76a4c56d9d4cd16bd1bba86881979749d28",
+    "Name": "bls_g1add_(g1+g1=2*g1)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000010e7791fb972fe014159aa33a98622da3cdc98ff707965e536d8636b5fcc5ac7a91a8c46e59a00dca575af0f18fb13dc0000000000000000000000000000000016ba437edcc6551e30c10512367494bfb6b01cc6681e8a4c3cd2501832ab5c4abc40b4578b85cbaffbf0bcd70d67c6e2",
+    "Name": "bls_g1add_(2*g1+3*g1=5*g1)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1",
+    "Name": "bls_g1add_(inf+g1=g1)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g1add_(inf+inf=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000001466e1373ae4a7e7ba885c5f0c3ccfa48cdb50661646ac6b779952f466ac9fc92730dcaed9be831cd1f8c4fefffd5209000000000000000000000000000000000c1fb750d2285d4ca0378e1e8cdbf6044151867c34a711b73ae818aee6dbe9e886f53d7928cc6ed9c851e0422f609b11",
+    "Name": "matter_g1_add_0",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000016b8ab56b45a9294466809b8e858c1ad15ad0d52cfcb62f8f5753dc94cee1de6efaaebce10701e3ec2ecaa9551024ea600000000000000000000000000000000124571eec37c0b1361023188d66ec17c1ec230d31b515e0e81e599ec19e40c8a7c8cdea9735bc3d8b4e37ca7e5dd71f6",
+    "Name": "matter_g1_add_1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000002ce7a08719448494857102da464bc65a47c95c77819af325055a23ac50b626df4732daf63feb9a663d71b7c9b8f2c510000000000000000000000000000000016117e87e9b55bd4bd5763d69d5240d30745e014b9aef87c498f9a9e3286ec4d5927df7cd5a2e54ac4179e78645acf27",
+    "Name": "matter_g1_add_2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000015510826f50b88fa369caf062ecdf8b03a67e660a35b219b44437a5583b5a9adf76991dce7bff9afc50257f847299504000000000000000000000000000000000a83e879895a1b47dbd6cd25ce8b719e7490cfe021614f7539e841fc2f9c09f071e386676de60b6579aa4bf6d37b13dd",
+    "Name": "matter_g1_add_3",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017a17b82e3bfadf3250210d8ef572c02c3610d65ab4d7366e0b748768a28ee6a1b51f77ed686a64f087f36f641e7dca900000000000000000000000000000000077ea73d233ccea51dc4d5acecf6d9332bf17ae51598f4b394a5f62fb387e9c9aa1d6823b64a074f5873422ca57545d30000000000000000000000000000000019fe3a64361fea14936ff0b3e630471494d0c0b9423e6a004184a2965221c18849b5ed0eb2708a587323d8d6c6735a90000000000000000000000000000000000340823d314703e5efeb0a65c23069199d7dfff8793aaacb98cdcd6177fc8e61ab3294c57bf13b4406266715752ef3e6",
+    "Expected": "00000000000000000000000000000000010b1c96d3910f56b0bf54da5ae8c7ab674a07f8143b61fed660e7309e626dc73eaa2b11886cdb82e2b6735e7802cc860000000000000000000000000000000002dabbbedd72872c2c012e7e893d2f3df1834c43873315488d814ddd6bfcca6758a18aa6bd02a0f3aed962cb51f0a222",
+    "Name": "matter_g1_add_4",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000cb40d0bf86a627d3973f1e7846484ffd0bc4943b42a54ff9527c285fed3c056b947a9b6115824cabafe13cd1af8181c00000000000000000000000000000000076255fc12f1a9dbd232025815238baaa6a3977fd87594e8d1606caec0d37b916e1e43ee2d2953d75a40a7ba416df237",
+    "Name": "matter_g1_add_5",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000e115e0b61c1f1b25cc10a7b3bd21cf696b1433a0c366c2e1bca3c26b09482c6eced8c8ecfa69ce6b9b3b4419779262e00000000000000000000000000000000077b85daf61b9f947e81633e3bc64e697bc6c1d873f2c21e5c4c3a11302d4d5ef4c3ff5519564729aaf2a50a3c9f1196",
+    "Name": "matter_g1_add_6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000013e37a8950a659265b285c6fb56930fb77759d9d40298acac2714b97b83ec7692a7d1c4ccb83f074384db9eedd809c0000000000000000000000000000000003215d524d6419214568ba42a31502f2a58a97d0139c66908e9d71755f5a7666567aafe30ea84d89308f06768f28a648",
+    "Name": "matter_g1_add_7",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000029405b9615e14bdac8b5666bbc5f3843d4bca17c97bed66d164f1b58d2a148f0f506d645d665a40e60d53fe29375ed400000000000000000000000000000000162761f1712814e474beb2289cc50519253d680699b530c2a6477f727ccc75a19681b82e490f441f91a3c611eeb0e9e2",
+    "Name": "matter_g1_add_8",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000cfaa8df9437c0b6f344a0c8dcbc7529a07aec0d7632ace89af6796b6b960b014f78dd10e987a993fb8a95cc909822ec0000000000000000000000000000000007475f115f6eb35f78ba9a2b71a44ccb6bbc1e980b8cd369c5c469565f3fb798bc907353cf47f524ba715deaedf379cb",
+    "Name": "matter_g1_add_9",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000011541d798b4b5069e2541fa5410dad03fd02784332e72658c7b0fa96c586142a967addc11a7a82bfcee33bd5d07066b900000000000000000000000000000000195b3fcb94ab7beb908208283b4e5d19c0af90fca4c76268f3c703859dea7d038aca976927f48839ebc7310869c724aa",
+    "Name": "matter_g1_add_10",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000006b0853b3d41fc2d7b27da0bb2d6eb76be32530b59f8f537d227a6eb78364c7c0760447494a8bba69ef4b256dbef750200000000000000000000000000000000166e55ba2d20d94da474d4a085c14245147705e252e2a76ae696c7e37d75cde6a77fea738cef045182d5e628924dc0bb",
+    "Name": "matter_g1_add_11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000c35d4cd5d43e9cf52c15d46fef521666a1e1ab9f0b4a77b8e78882e9fab40f3f988597f202c5bd176c011a56a1887d4000000000000000000000000000000000ae2b5c24928a00c02daddf03fade45344f250dcf4c12eda06c39645b4d56147cb239d95b06fd719d4dc20fe332a6fce",
+    "Name": "matter_g1_add_12",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000013bad27dafa20f03863454c30bd5ae6b202c9c7310875da302d4693fc1c2b78cca502b1ff851b183c4b2564c5d3eb4dc0000000000000000000000000000000000552b322b3d672704382b5d8b214c225b4f7868f9c5ae0766b7cdb181f97ed90a4892235915ffbc0daf3e14ec98a606",
+    "Name": "matter_g1_add_13",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000b5513e42f5217490f395a8cb3673a4fc35142575f770af75ecf7a4fcd97eee215c4298fc4feab51915137cbdb814839000000000000000000000000000000000e9d4db04b233b0b12a7ff620faefef906aeb2b15481ce1609dad50eb6a7d0c09a850375599c501296219fb7b288e305",
+    "Name": "matter_g1_add_14",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000c27ef4ebf37fd629370508f4cd062b74faa355b305d2ee60c7f4d67dd741363f18a7bbd368cdb17e848f372a5e33a6f0000000000000000000000000000000000ed833df28988944115502f554636e0b436cccf845341e21191e82d5b662482f32c24df492da4c605a0f9e0f8b00604",
+    "Name": "matter_g1_add_15",
+    "NoBenchmark": false
+  },
+  {
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+    "NoBenchmark": false
+  },
+  {
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+  },
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+    "Name": "matter_g1_add_19",
+    "NoBenchmark": false
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+    "Expected": "000000000000000000000000000000000caf46f480ae2ea8e700f7913c505d5150c4629c9137e917357d2a4ba8a7a1c63b8f6e2978293755952fbed7f0ad8d6d0000000000000000000000000000000002e62e715b72eebbc7c366a2390318f73e69203a9533e72340aab568f65105129ffc9889a8bc00a692494d93688c7ec0",
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+    "NoBenchmark": false
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+    "Expected": "0000000000000000000000000000000012e6d6c518c15cfd3020181ff3f829e29140b3b507b99251cc7f31795128adec817750296bce413bac18b9a80f69ca5000000000000000000000000000000000131ee9b748f6f1eb790adeb9edd0e79d89a9908368f5a6bb82ee0c913061cdfffe75d9ba411a49aa3f9194ee6d4d08a9",
+    "Name": "matter_g1_add_23",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000111c416d5bd018a77f3317e3fbf4b03d8e19658f2b810dc9c17863310dfb09e1c4ffdbb7c98951d357f1c3d93c5d0745000000000000000000000000000000000af0a252bff336d5eb3a406778557ef67d91776a9c788be9a76cff7727f519a70fc7809f1a50a58d29185cb9722624fd",
+    "Name": "matter_g1_add_24",
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+    "Expected": "000000000000000000000000000000000d2b9c677417f4e9b38af6393718f55a27dbd23c730796c50472bc476ebf52172559b10f6ceb81e644ec2d0a41b3bb01000000000000000000000000000000001697f241ff6eceb05d9ada4be7d7078ecbbffa64dd4fb43ead0692eef270cb7cc31513ee4bf38a1b1154fe008a8b836a",
+    "Name": "matter_g1_add_25",
+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000003996050756117eeab27a5e4fa9acdde2a1161d6fbfff2601a1c7329f900e93a29f55a8073f85be8f7c2a4d0323e95cc00000000000000000000000000000000010b195a132c1cba2f1a6a73f2507baa079e9b5cb8894ea78bebc16d4151ee56fe562b16e2741f3ab1e8640cdad83180",
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+  },
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+    "Expected": "0000000000000000000000000000000003c7a7ee3d1b73cf1f0213404363bf3c0de4425ab97d679ed51448e877b7537400f148f14eba588ed241fea34e56d465000000000000000000000000000000000c581b5070e6bb8582b7ee2cd312dfeb5aaf0b0da95cf5a22a505ffba21fc204e26a5e17311d1f47113653ff13349f57",
+    "Name": "matter_g1_add_27",
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+  },
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+    "Expected": "000000000000000000000000000000000d7a539b679e5858271a6f9cf20108410eb5d5d2b1a905e09a8aa20318efbe9175450385d78389f08f836f5634f7a2f0000000000000000000000000000000000fb624e5f6c4c814b7d73eb63b70237c5de7d90d19ac81cac776d86171a8d307d3cc8c56da14f444fe8cf329ab7e63dd",
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+    "Expected": "0000000000000000000000000000000000849bbc7b0226b18abbcb4c9a9e78dca2f5f75a2cbb983bd95ff3a95b427b1a01fd909ce36384c49eb88ffb8ff77bb000000000000000000000000000000000087d8d28d92305b5313ca533a6b47f454ddce1c2d0fa3574b255128ef0b145fa4158beb07e4f0d50d6b7b90ea8a8ea8a",
+    "Name": "matter_g1_add_29",
+    "NoBenchmark": false
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+    "Expected": "00000000000000000000000000000000191084201608f706ea1f7c51dd5b593dda87b15d2c594b52829db66ce3beab6b30899d1d285bdb9590335949ceda5f050000000000000000000000000000000000d3460622c7f1d849658a20a7ae7b05e5afae1f01e871cad52ef632cc831b0529a3066f7b81248a7728d231e51fc4ad",
+    "Name": "matter_g1_add_30",
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+  },
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+    "Expected": "000000000000000000000000000000000c06fef6639ab7dceb44dc648ca6a7d614739e40e6486ee9fc01ecc55af580d98abc026c630a95878da7b6d5701d755c0000000000000000000000000000000007c9a7f2bc7fa1f65c9e3a1e463eb4e3283e47bb5490938edb12abf6c8f5a9b56d8ce7a81a60df67db8c399a9a1df1d4",
+    "Name": "matter_g1_add_31",
+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000002fbf4fba68ae416b42a99f3b26916dea464d662cebce55f4545481e5ab92d3c40f3e189504b54db4c9cd51ecdd60e8d0000000000000000000000000000000008e81e094c6d4ded718ef63c5edfacb2d258f48ccfa37562950c607299bb2dca18e680a620dff8c72dedc89b4e9d4759",
+    "Name": "matter_g1_add_32",
+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000014e0bd4397b90a3f96240daf835d5fb05da28a64538f4bf42d9e7925a571f831c6e663910aa37dcc265ddd7938d83045000000000000000000000000000000001695d405d4f8ba385ebf4ad25fb3f34c65977217e90d6e5ed5085b3e5b0b143194f82e6c25766d28ad6c63114ca9dcdf",
+    "Name": "matter_g1_add_33",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000ffeab47985bd9b3e10ce27c6636bbda336dcf540cd37eccc3faec2adff2d97dd126633bd83a7d3c8c73c3623bdf0ba2000000000000000000000000000000001992eca4b1e924b360d57ca98b543ab496a8b55bd288d23f03bcc1b22f6bc76d95b12f47c3e305812097253c73b876dd",
+    "Name": "matter_g1_add_34",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000001812bcb26fa05e0ab5176e703699ab16f5ef8917a33a9626ae6ff20f2a6f4a9d5e2afe3a11f57061cbaa992e1f30477f000000000000000000000000000000000680acf0b632cb48017cb80baa93753d030aa4b49957178d8a10d1d1a27bbdc89ac6811a91868b2c181c5c0b9b6caf86",
+    "Name": "matter_g1_add_35",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000196ffe76a4b726fa8dd720cc1cd04c040724cb18ec10915e312eaa90d124100b08f0ce3a7fc888f46914319a3d7581f4000000000000000000000000000000000e2612357059ca6dbb64efb98ef19370560c9e83e2aad7ab2d9015e2444fe4d8c796b5577584aac9f63258beb5ae863c",
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+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000072334ec8349fc38b99d6dea0b4259c03cd96c1438c90ef0da6321df2495892de031a53c23838ca2b260774fa09b5461000000000000000000000000000000000e4535767c2477c4f87c087540c836eeffcd0c45960841f9c3561a8a5f8e61ab98b183b11192b8e7ea1c9c7717336243",
+    "Name": "matter_g1_add_37",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000140fb6dcf872d0a3bff3e32a0cb4a7fb7e60ee4fb476bb120c4ce068e169d72e1c167d7fda321280d5855983d5a9af800000000000000000000000000000000108f54a4ec3ba26dd614f4d94c5c82652583906986158ad40ffea54c17703fa4b0bd7806633e1c0318d06e8dc7d41cde",
+    "Name": "matter_g1_add_38",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a1b50660ed9120fff1e5c4abb401e4691a09f41780ca188cea4b1c2d77002f08ce28eb1caa41ee3fe73169e3651bb7f00000000000000000000000000000000125439ac3b45c698a98063ab911364bd3c6dd2a69435d00d6edf89fc5566b33038e960a125e5e52141abb605587942fe",
+    "Name": "matter_g1_add_39",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000037b4e8846b423335711ac12f91e2419de772216509d6b9deb9c27fd1c1ee5851b3e032bf3bcac3dd8e93f3dce8a91b00000000000000000000000000000000113a1bf4be1103e858c3be282effafd5e2384f4d1073350f7073b0a415ecf9e7a3bfb55c951c0b2c25c6bab35454ecf0",
+    "Name": "matter_g1_add_40",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000007c158b4e21566742f7e4e39a672bd383e27864505acef4ef8c26f8b0a9db418f9c088b555b8e9eb25acf9859b1207b40000000000000000000000000000000016e06a1ace89f992d582af0de7662ef91c0a98f574306f6f6d0d8d5e80166638d2deef70105cce2e9b20faa9d6315510",
+    "Name": "matter_g1_add_41",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000b84f9de79c748e37797c629cb78b86b4b736b199f161b30147b5dacf6eabe0b54afce40d5dacfe9a8ee8da5ef5b49de0000000000000000000000000000000010277ad094bb9a3b96379b1366dd90125b51a21ebeb4f776a81d9d9c1f37ab58c32a884a26fa32c83783ed0eef42b820",
+    "Name": "matter_g1_add_42",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000d740bd1effd8674250618af0358ad0b83bbc787f0264af9c2ada72fa5431be909e82155da1de0211f46fb307e9949f0000000000000000000000000000000000ddf62c91d587a14b64feef07da52c081b40fbbf9a0f2eae8b66022e0850fc94de6a467e7e4f580c7f2c806f6c6ed8cf",
+    "Name": "matter_g1_add_43",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000af674691f5d87655f0066188fac5013f31b4169a0181d3feb7ac3beae0d9a3429d4125f099ee344f644a2de8b941f9f00000000000000000000000000000000042a9603b8e4a6c37d59ede3a1398f5f80c5298da66de575a204ee28811d9f7c7c0dd40cef3769bd72a2156b9eb620c8",
+    "Name": "matter_g1_add_44",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000001081c3359a0fadfe7850ce878182859e3dd77028772da7bcac9f6451ac6455739c22627889673db626bbea70aa3648d50000000000000000000000000000000000f4e8766f976fa49a0b05ef3f06f56d92fe6452ff05c3fac455f9c16efadf1b81a44d2921bed73511dda81d6fc7478e",
+    "Name": "matter_g1_add_45",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000f60d66fd1ed5eb04f9619d6458c522cc49f5ace111aff2b61903b112559972f80ac615591463abf2b944c4f99d4c03e000000000000000000000000000000000001a1abfa869be2cda6bd7e05454a8735e1b638db7e1b3715708539c2d14ade53069c7e68b36d3b08cff80837028b7d",
+    "Name": "matter_g1_add_46",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000015b164c854a2277658f5d08e04887d896a082c6c20895c8809ed4b349da8492d6fa0333ace6059a1f0d37e92ae9bad30000000000000000000000000000000001510d176ddba09ab60bb452188c2705ef154f449bed26abf0255897673a625637b5761355b17676748f67844a61d4e9f",
+    "Name": "matter_g1_add_47",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000006db0cc24ffec8aa11aecc43e9b76a418daac51d51f3de437090c1bcaabace19f7f8b5ceb6277d6b32b7f3b239a90c4700000000000000000000000000000000069e01f60ca7468c6b9a247c79d18cf3d88bf5d1d62c76abf9237408edeba05dea744205ac5b501920f519bb847bb711",
+    "Name": "matter_g1_add_48",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000fa72bf2d7d564cc4982b9f2cdca743d2ac14f0f1be4218dbafb8b93a9277e55273487a5d2857fd3f731ac4ee469a6a1000000000000000000000000000000000fce44f886453c6ca5ebde9af41d2be92d1126e9897d72978a179dd7eebeed6242b6e9718604ab0c9369529a0426a575",
+    "Name": "matter_g1_add_49",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000019ecd38afacc6b281b2515270157328e18039d51574bae0f7e0ef16c3f6da89f55ddee9e3bbb450ad51fe11edfd9f18d00000000000000000000000000000000088a5e292761bbf7a914a9f723de099035e91bd3c1fe9cd50728a4ceaa4fd3953683f30aa8e70ba0eb23919092aa9e22",
+    "Name": "matter_g1_add_50",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000011ccd455d5e3eba94567a17bcd777559b4ff1afa66fd6f05f99c69937404290a2f1c83cfd6c2c25886ebff4934332c0e0000000000000000000000000000000010920aa3d5974df25530610ef466adce3d51fd6a508d4b1111739c586dfd7ba9040836e075fd812fe111d92f25b67f51",
+    "Name": "matter_g1_add_51",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000060773b9b8f3babdba3db27089b7be3e6e287a635dbae19576039d34ae18a0e6413278bfa280570f6329ae05cdb693fd00000000000000000000000000000000075fb9527f99a8c8db41e67baaf1deafffd2c134badb1b3478a26b5501b31dca858fad6f0d52f412d5631ecfa72eece4",
+    "Name": "matter_g1_add_52",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a3ea8afdc83794f18f9a9427bcd60a355196925d38fdf74ab09d4a08279647b2da6f1fbe30948a785497d6c6dddc2a9000000000000000000000000000000001263c88f1ca3e574cafac21641432d45ee01e1b05eba95716565922abe28c7f0fb004c255afcbfa10cf7959bbe6b00d7",
+    "Name": "matter_g1_add_53",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000019258ea5023ce73343dcd201ec9be68ec1ee1cb4e5b9964309d801c2bc523343c8ebc4f8393a403c7881e5928f29db14000000000000000000000000000000001423bf52daefb432162ce2bd9ef78b256ff3b24d0a84766b87119489fd56ecf6156b2884c8a7e1220e493469723cd7f8",
+    "Name": "matter_g1_add_54",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000012c4dd169f55dfb5634bc4866f7cbd110648b5392ace6042b5f64aba3278f24085227521b7834864f00d01ec9998dd6800000000000000000000000000000000102d7a495850195424677853da01d70caeb6c0af5270bcfffbc2d4252c0f3680518cd8d2a0a6dbbbc7b52923a5b26562",
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+    "Name": "matter_g1_add_73",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000000fb047098a1996a625cd19021f81ea79895e038756878d8772aaee9b6bbb66930e474dcc04579ad58f4877b742a890900000000000000000000000000000000017da74a4caefc55794a36eda7938371f42265cc1f2d87d41883152db82873daeb59642e8e663afddd4f24536a1f52b3f",
+    "Name": "matter_g1_add_74",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g1_add_75",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g1_add_77",
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+    "NoBenchmark": false
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+    "Expected": "000000000000000000000000000000000d4734ab1bbcf9e30cf142a7aa9e8cde1b3c88d92397b8d7d48c7a7402561feee58a810abf67776e1890489efe7f8ec20000000000000000000000000000000005be9e4af0c0c183c43601339f162345f7c013f5941167cd925057e91c4641e19091a20123a36f2e803142833c0bc1ef",
+    "Name": "matter_g1_add_81",
+    "NoBenchmark": false
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+    "Expected": "000000000000000000000000000000001400f774b2d932c6b990da6e1b3493685e8f51d429e0c53e9af1b4a2d3876781b790bca4a1bc28ce0240ea21be24a2350000000000000000000000000000000004993fcf5723b7e02095d4ba73ff3194bbe36027bc9099b57084c91c7e7d50b76331bfb06d3c678d3e401bc3f7fcc577",
+    "Name": "matter_g1_add_82",
+    "NoBenchmark": false
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+    "Expected": "000000000000000000000000000000000fcb0ab180a69b0a230d9dba98099fdce4969f82fc7e7ad93352a7c8dd448bb0ba9c7d62f53d5dc80506bc36190d9bc700000000000000000000000000000000047b7306f4a53c21d42993c50f2365486d02dac495f2dee4f8971a4af308396fce6c90f3cfde857bf7a2c6bf5d0d8aa7",
+    "Name": "matter_g1_add_83",
+    "NoBenchmark": false
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+    "Expected": "00000000000000000000000000000000050b45f896fa40099cda8b1f20ab88644915c16f926589cd709e00149b12922347fa7122175424cd44e8875f217b9ad7000000000000000000000000000000001122b7e9b1509efe5616368b14085bdd36fb7adb85cd5a7f23e327548986f5298c045a602b6ee1265d53a4432a4a3c0e",
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+    "Expected": "0000000000000000000000000000000005325a499aec678ada9eb673d366fe0475e885d5188e2fb687a96949e8f782852fba962197976b868ec083c512bfb66b000000000000000000000000000000000c4d6fcacc8d82401882bee355b37930d83e3cea2e4a7bc133e65a3e0af919b25fc3f30c333873da9406845ce42dbb87",
+    "Name": "matter_g1_add_85",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000000685ec14da61c48bcb697966aca9e27601db43f0fb1f32e026fb33738eecfbb7012aa1ca3acf36a21fa846730245add70000000000000000000000000000000003fc52a1c3342b12271bbc178545bb20e96e8f1fde673e51f3d27ab5cb42e60aca49c6077e0f687be59b2d25cda9718e",
+    "Name": "matter_g1_add_86",
+    "NoBenchmark": false
+  },
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+    "Expected": "00000000000000000000000000000000021796fd6ef624eed7049b8a5c50415cc86104b2367f2966eb3a9f5b7c4833b9470ef558457426f87756d526d94d8dfe000000000000000000000000000000000f492dca3f0a89102b503d7a7d5b197946348e195954d23b8ab9ab7704b3bccecaa2123b8386662f95cd4cfdbbb7a64d",
+    "Name": "matter_g1_add_87",
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+  },
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+    "Expected": "000000000000000000000000000000000ae916770455b0a63717e81802f5a7fcfbcc3e260b7adeca02a61a520c338d495eea29c4f070fd6efc1b8d23eb285e4c00000000000000000000000000000000134784e092744df573ba78f7d6f3cf1ed19491a0fc7ddfa02d3ca043bcf102fd40c33ac44b03a947308e3cc7af41c2df",
+    "Name": "matter_g1_add_88",
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+  },
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+    "Expected": "0000000000000000000000000000000012842c9d7f4309f6e40124a071d317f5597de419db0d5a8e5324a517f7b61dfdeea2fb4503ad7cdd8deb8aaa5c412554000000000000000000000000000000000ace4d9f98ee6e8a4416ef14d64f26dc49e102e69eced46ef829a352e58e8c1a7e1f083e3f4fc07f24ccd1685dedf215",
+    "Name": "matter_g1_add_89",
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+  },
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+    "Expected": "000000000000000000000000000000000875289fdaead079a283aafe4de7035c88662642b6bba389b17583f8e3b5801dada6e46bd897af961997665e6ed4a55700000000000000000000000000000000050a6b9c1db35865df0a042d27a042ff4b8d3bec2fba6a3a28a71c5a574620dc05cda0e70932ce9b8966e4592220c147",
+    "Name": "matter_g1_add_90",
+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000019ea92820dcd442358db359146797aa82beff6154946b1ea14dccae05e8252b776b817dc044a20764e3514cd22799c0b000000000000000000000000000000000ed929fef2cb11e8b6b9b5d52bfde82080eda747f0c82f33b9cb87019476f0c128e6b918a4486172dee2884ba538ae5d",
+    "Name": "matter_g1_add_91",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000009452bd0a167683e30c673ffd4e750c66a81edf309a8d2d6dd915c358b30b0ffc001c4165b1b17bf157a0f966bfd91d00000000000000000000000000000000015df0b1ee359dd3e35a7b2c33edbb8e92b18804ae3359a369c6a529f5561298e6be9a3498c9477f33353124af7e91968",
+    "Name": "matter_g1_add_92",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000011f1ac702a06699dd64b63ebdd8b5381578f63b603c63c3a47413fe764af239ab7024712320f3ea3daefa6bd3cd3dfe9000000000000000000000000000000000918bb83a22b4fc66247e007c17155c4c2ec6326131c10fe04a5f9b82ddeca3d21c7c397a70a3949fda4d766540c85ff",
+    "Name": "matter_g1_add_93",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000344951ccb5e60d1838f7793fcf8b765f5f252b69e1cfdb4bd3c20692c8ffa01afbda6950974a65f6ac74afb9da5942e0000000000000000000000000000000014f5f0e6b99a04d1c5c2adf96c53dd41f8c01aab8db4f0e6d7fc5eab27f6c03c429632db4e1c21467c09d8a54066a4d3",
+    "Name": "matter_g1_add_94",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000a449fb0da911c544887b24860bc5fcaaf054041cc80f16bbb44c796520bee454d0d06f84fd5aa179a44fd4fac9f144a000000000000000000000000000000000fca81401349089caaef9156a86c64271c77235c9efd136dcfad9894450b076cb3dd1a05bfa1e62ef904435eee5d2250",
+    "Name": "matter_g1_add_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000c427721953e139d4f12ad2a3f8f91a4caa49875a87001b619c8a6e909a7da8ddd9dd026bf56d5f85d49fd17527106a800000000000000000000000000000000018add2816914ef51a289e707ba0224fcf0b7bcfa4001487e90dbdce53f1b596e1f5872de32fcee6f63bce4484ccbef7",
+    "Name": "matter_g1_add_96",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000275b8efb3a3e43e2a24d0cda238154520f0a2b265f168bfc502b9cd4a07b930756961ae7e4fe3f01a5473d36ce3356200000000000000000000000000000000113403d5a968f01ba127dd8ef6c8d7b783a10d039a6b69c617032eba7122e9297f3ce2360c829ae64fdc9794695bf173",
+    "Name": "matter_g1_add_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000594c808954bb930bd038806500c9e3fd6460a83554e945baeeec2354a3805f046c76aea62c249080f16ae8e70f8fa6b00000000000000000000000000000000046924a32fb3f2df9a52615e45eeea2fa3ac0e2ccd38458194ada6b4d993ecdc0f441e41d0ea37599254a06aef68b9ae",
+    "Name": "matter_g1_add_98",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000002c8bc5f39b2c9fea01372429e92a9c945fad152da67174f4e478fdead734d50f6e2da867c235f1f2f11bdfee67d2a7000000000000000000000000000000000c1dd27aad9f5d48c4824da3071daedf0c7a0e2a0b0ed39c50c9d25e61334a9c96765e049542ccaa00e0eccb316eec08",
+    "Name": "matter_g1_add_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsG1Mul.json

@@ -0,0 +1,626 @@
+[
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g1mul_(0*g1=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011",
+    "Expected": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g1mul_(x*inf=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g1mul_(1*g1=g1)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000011",
+    "Expected": "000000000000000000000000000000001098f178f84fc753a76bb63709e9be91eec3ff5f7f3a5f4836f34fe8a1a6d6c5578d8fd820573cef3a01e2bfef3eaf3a000000000000000000000000000000000ea923110b733b531006075f796cc9368f2477fe26020f465468efbb380ce1f8eebaf5c770f31d320f9bd378dc758436",
+    "Name": "bls_g1mul_(17*g1)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000012196c5a43d69224d8713389285f26b98f86ee910ab3dd668e413738282003cc5b7357af9a7af54bb713d62255e80f560000000000000000000000000000000006ba8102bfbeea4416b710c73e8cce3032c31c6269c44906f8ac4f7874ce99fb17559992486528963884ce429a992feeb3c940fe79b6966489b527955de7599194a9ac69a6ff58b8d99e7b1084f0464e",
+    "Expected": "000000000000000000000000000000000f1f230329be03ac700ba718bc43c8ee59a4b2d1e20c7de95b22df14e7867eae4658ed2f2dfed4f775d4dcedb4235cf00000000000000000000000000000000012924104fdb82fb074cfc868bdd22012694b5bae2c0141851a5d6a97d8bc6f22ecb2f6ddec18cba6483f2e73faa5b942",
+    "Name": "matter_g1_mul_0",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000117dbe419018f67844f6a5e1b78a1e597283ad7b8ee7ac5e58846f5a5fd68d0da99ce235a91db3ec1cf340fe6b7afcdb0000000000000000000000000000000013316f23de032d25e912ae8dc9b54c8dba1be7cecdbb9d2228d7e8f652011d46be79089dd0a6080a73c82256ce5e4ed24d0e25bf3f6fc9f4da25d21fdc71773f1947b7a8a775b8177f7eca990b05b71d",
+    "Expected": "00000000000000000000000000000000195592b927f3f1783a0c7b5117702cb09fa4f95bb2d35aa2a70fe89ba84aa4f385bdb2bfd4e1aaffbb0bfa002ac0e51b000000000000000000000000000000000607f070f4ae567633d019a63d0411a07d767bd7b6fe258c3ba1e720279e94c31f23166b806eabdb830bb632b003ca8b",
+    "Name": "matter_g1_mul_1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000008ab7b556c672db7883ec47efa6d98bb08cec7902ebb421aac1c31506b177ac444ffa2d9b400a6f1cbdc6240c607ee110000000000000000000000000000000016b7fa9adf4addc2192271ce7ad3c8d8f902d061c43b7d2e8e26922009b777855bffabe7ed1a09155819eabfa87f276f973f40c12c92b703d7b7848ef8b4466d40823aad3943a312b57432b91ff68be1",
+    "Expected": "0000000000000000000000000000000014f9bc24d65e3a2d046dbae935781596fb277359ba785808fd9ff7fd135ba8c1ddc27d97a16cc844427afbf4f8fc75a60000000000000000000000000000000017e3a485f84e2f2bdcf3255fe939945abe60dca5e0ae55eae9675dcc8d73e06d00b440a27ab4dc21c37f0bd492d70cf4",
+    "Name": "matter_g1_mul_2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000015ff9a232d9b5a8020a85d5fe08a1dcfb73ece434258fe0e2fddf10ddef0906c42dcb5f5d62fc97f934ba900f17beb330000000000000000000000000000000009cfe4ee2241d9413c616462d7bac035a6766aeaab69c81e094d75b840df45d7e0dfac0265608b93efefb9a8728b98e44c51f97bcdda93904ae26991b471e9ea942e2b5b8ed26055da11c58bc7b5002a",
+    "Expected": "000000000000000000000000000000000827517654873d535010e589eaf22f646cf7626144ca04738286de1f1d345342d5ae0eab9cd37ced9a3db90e569301720000000000000000000000000000000002a474c2443d71b0231d2b2b874a6aeac0452dd75da88e6f27949edafc7d094cb1577a79f4e643db42edcaecc17d66da",
+    "Name": "matter_g1_mul_3",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017a17b82e3bfadf3250210d8ef572c02c3610d65ab4d7366e0b748768a28ee6a1b51f77ed686a64f087f36f641e7dca900000000000000000000000000000000077ea73d233ccea51dc4d5acecf6d9332bf17ae51598f4b394a5f62fb387e9c9aa1d6823b64a074f5873422ca57545d38964d5867927bc3e35a0b4c457482373969bff5edff8a781d65573e07fd87b89",
+    "Expected": "000000000000000000000000000000000d7e5794c88c549970383454d98f9b7cebb7fdf8545256f1a5e42a61aa1d61193f02075dc6314b650da14f3776da6ead0000000000000000000000000000000002054faff236d38d2307aa6cbbc696d50f5b3ffead1be2df97a05ebbcbc9e02eaf153f311a1e141eb95d411c0ec6e981",
+    "Name": "matter_g1_mul_4",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000c1243478f4fbdc21ea9b241655947a28accd058d0cdb4f9f0576d32f09dddaf0850464550ff07cab5927b3e4c863ce90000000000000000000000000000000015fb54db10ffac0b6cd374eb7168a8cb3df0a7d5f872d8e98c1f623deb66df5dd08ff4c3658f2905ec8bd02598bd4f90787c38b944eadbd03fd3187f450571740f6cd00e5b2e560165846eb800e5c944",
+    "Expected": "000000000000000000000000000000000ff16ff83b45eae09d858f8fe443c3f0e0b7418a87ac27bb00f7eea343d20a4a7f5c0fcc56da9b792fe12bd38d0d43c600000000000000000000000000000000042a815a4a5dca00bd1791889491c882a21f0fe0a53809d83740407455cf9c980c5547961f9ebe61871a4896dace7fbd",
+    "Name": "matter_g1_mul_5",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000328f09584b6d6c98a709fc22e184123994613aca95a28ac53df8523b92273eb6f4e2d9b2a7dcebb474604d54a210719000000000000000000000000000000001220ebde579911fe2e707446aaad8d3789fae96ae2e23670a4fd856ed82daaab704779eb4224027c1ed9460f39951a1baaee7ae2a237e8e53560c79e7baa9adf9c00a0ea4d6f514e7a6832eb15cef1e1",
+    "Expected": "0000000000000000000000000000000009e425f5bdc7df5c2a72303918e5a3c7d2fdeeb071179c533f83cdcf38dbbdb1ec5f4ebc85f3ed80757641ee3f8a8637000000000000000000000000000000000819a3e81e9ac2baacdc778225129e16344107517157ab2a7bc5e3480938585c55fd2dd7185f52251f5ab191f162cf5d",
+    "Name": "matter_g1_mul_6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000002ebfa98aa92c32a29ebe17fcb1819ba82e686abd9371fcee8ea793b4c72b6464085044f818f1f5902396df0122830cb00000000000000000000000000000000001184715b8432ed190b459113977289a890f68f6085ea111466af15103c9c02467da33e01d6bff87fd57db6ccba442adac6ed3ef45c1d7d3028f0f89e5458797996d3294b95bebe049b76c7d0db317c",
+    "Expected": "0000000000000000000000000000000015e6bea7ecf15d91bde67231f794397502c087960fab36d905137ce2608172b5a5def065cf7ee567ca7fb08a22adecf80000000000000000000000000000000001eed472d6138fbc56e10edb62563c086fdeb9acf6de957f2367db7f1c80d2c23197c09039ed55e65cb56de9fb9be64d",
+    "Name": "matter_g1_mul_7",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000009d6424e002439998e91cd509f85751ad25e574830c564e7568347d19e3f38add0cab067c0b4b0801785a78bcbeaf246000000000000000000000000000000000ef6d7db03ee654503b46ff0dbc3297536a422e963bda9871a8da8f4eeb98dedebd6071c4880b4636198f4c2375dc795bb30985756c3ca075114c92f231575d6befafe4084517f1166a47376867bd108",
+    "Expected": "000000000000000000000000000000000220a71ad70fcf7e47df60381fbd1aba33c03a3f8537ba2029ad8e99b63c8677e0183f0b5bb2a5e1b23bc56693adb45c0000000000000000000000000000000017f26ac6ffc79ded7c08e08673336402f47ab48ef9ee2e46e3265e5cbb790cfc86f41bd1b578c5891eb052d11197c850",
+    "Name": "matter_g1_mul_8",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000002d1cdb93191d1f9f0308c2c55d0208a071f5520faca7c52ab0311dbc9ba563bd33b5dd6baa77bf45ac2c3269e945f4800000000000000000000000000000000072a52106e6d7b92c594c4dacd20ef5fab7141e45c231457cd7e71463b2254ee6e72689e516fa6a8f29f2a173ce0a190fb730105809f64ea522983d6bbb62f7e2e8cbf702685e9be10e2ef71f8187672",
+    "Expected": "0000000000000000000000000000000006b27724c4898b4f71be9727b773709a7905997d06a41ee618b7dcf864d7457bb3241046f0139c1d678b6ba6226f090f000000000000000000000000000000000b20cabf58f9c29897e20e91a9b482f5f867bef45ce0941cb8850aaa2022182298a1a24655a4b905f436520cc42a30cd",
+    "Name": "matter_g1_mul_9",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000641642f6801d39a09a536f506056f72a619c50d043673d6d39aa4af11d8e3ded38b9c3bbc970dbc1bd55d68f94b50d0000000000000000000000000000000009ab050de356a24aea90007c6b319614ba2f2ed67223b972767117769e3c8e31ee4056494628fb2892d3d37afb6ac943b6a9408625b0ca8fcbfb21d34eec2d8e24e9a30d2d3b32d7a37d110b13afbfea",
+    "Expected": "0000000000000000000000000000000004745f9877b3a0851df5bb770a54c69d5355cdadddc9d961e2bfdb3d0531d3d0f780f462335289be29ad4c62cb1250a00000000000000000000000000000000011034a094f59212c29e3f91c48df670e7a4021e4586645d250ee74a90f4b7b51510a5048dba3b555511c327ed211f81f",
+    "Name": "matter_g1_mul_10",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000fd4893addbd58fb1bf30b8e62bef068da386edbab9541d198e8719b2de5beb9223d87387af82e8b55bd521ff3e47e2d000000000000000000000000000000000f3a923b76473d5b5a53501790cb02597bb778bdacb3805a9002b152d22241ad131d0f0d6a260739cbab2c2fe602870e3b77283d0a7bb9e17a27e66851792fdd605cc0a339028b8985390fd024374c76",
+    "Expected": "000000000000000000000000000000000841c1538c1a3b54418c1c5557a5815c9ed74f6e1c8ed70e1ad424220dc522c530e2e48affe6cb3190abb25af84b91a300000000000000000000000000000000167490a2aa6c8796736cbd364a4d18007ecfee403bde5dc13c611a214610e85af314ddddbf05ea129e027e0ae8d89b36",
+    "Name": "matter_g1_mul_11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000002cb4b24c8aa799fd7cb1e4ab1aab1372113200343d8526ea7bc64dfaf926baf5d90756a40e35617854a2079cd07fba40000000000000000000000000000000003327ca22bd64ebd673cc6d5b02b2a8804d5353c9d251637c4273ad08d581cc0d58da9bea27c37a0b3f4961dbafd276bdd994eae929aee7428fdda2e44f8cb12b10b91c83b22abc8bbb561310b62257c",
+    "Expected": "000000000000000000000000000000000ea1f952d65dbb9a40209aa89e367d9d75e1b4c3a70a609efda5fbe7f5c5483163671da425545d3f1afb817c6d8c59a0000000000000000000000000000000000cd537dc11cc63dd15c8ff74d15961390eaee59b2d5697b18c1ea6d534d71551f5e195e8a0793140d821dde97dc77623",
+    "Name": "matter_g1_mul_12",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000024ad70f2b2105ca37112858e84c6f5e3ffd4a8b064522faae1ecba38fabd52a6274cb46b00075deb87472f11f2e67d90000000000000000000000000000000010a502c8b2a68aa30d2cb719273550b9a3c283c35b2e18a01b0b765344ffaaa5cb30a1e3e6ecd3a53ab67658a57876817010b134989c8368c7f831f9dd9f9a890e2c1435681107414f2e8637153bbf6a",
+    "Expected": "0000000000000000000000000000000004c92b7cf9199f47008dd561e624c822a067c57fdea9d016f79e6c7956dda9df0e36b4e78715f3da1319af9f4f1fb160000000000000000000000000000000000d2851d68617567ad5308f69dc5dbbf37603c2ba48cb3759b70fc4301fdce3bdc9fca076e2ae09562396c1b8558ccdcc",
+    "Name": "matter_g1_mul_13",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000704cc57c8e0944326ddc7c747d9e7347a7f6918977132eea269f161461eb64066f773352f293a3ac458dc3ccd5026a000000000000000000000000000000001099d3c2bb2d082f2fdcbed013f7ac69e8624f4fcf6dfab3ee9dcf7fbbdb8c49ee79de40e887c0b6828d2496e3a6f76894c68bc8d91ac8c489ee87dbfc4b94c93c8bbd5fc04c27db8b02303f3a659054",
+    "Expected": "0000000000000000000000000000000006ed98add25d64f7488ed270e0899ee3633c84b73de26557c552017e7cda4cba1228c15e87efb5a740284dddb8cc80de000000000000000000000000000000000b363e14b0285fbd24eaacfe80b992d8df1abfe83991cc55b0484076385374bc87d9c7860177f06143c600503ac54577",
+    "Name": "matter_g1_mul_14",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000164671460621354cd352d93ca7de51828b3e6db0a37d2894a0ac475a5facdbc3ca5909d3bd7553271dadaa68b7474e2c00000000000000000000000000000000188827c6e2f4e9796c71703ba53ba2ded71bd6e8280e047fb6ea440b8dcafa7c4252d26bee1780ac67790e0d603c8ca7",
+    "Name": "matter_g1_mul_15",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000023b2129ac67abc79966102ba223b982d40ca83e9b1ce33dff681c751b3f0c692f8bf19fa0394eae190767899829d1d10000000000000000000000000000000015449c6b5ee2c9f8b28e9732c9ebf6ffee5048263f7b5050a5ac9a76b034931a5c034f91d24b461636f5b116e37a26a5",
+    "Name": "matter_g1_mul_16",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000004edac7b03b5861d178bb4aa34e795c776fd95e7c0980f19d111ef208ca4854f73a3ddc219bb6bca173dec67b0e863a00000000000000000000000000000000004dbff672368f86e048c3e33cbe90aba570484b4ca2221f7f6adaa1738c369f4c02c0a10118e84ea8e53cfbaa10fa48b",
+    "Name": "matter_g1_mul_17",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000169d637c52c31e4c62c9563a508869f7bb5adc7defedb5f4ba9f3eabe517fa8c0be2e44d656e50903dcab67a6a44984d00000000000000000000000000000000192b39d5cddac36940d896a738e25c25217768e1d0ca712968718b8fd9ad492bae63063b3cb168368c3df196306b6a1e",
+    "Name": "matter_g1_mul_18",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000001608c3bfb131eae485545b7d19b8f42de18dcea6a0db3279eac2b7c008fbead54046bf13dd63835abe9c63110e12526c000000000000000000000000000000000abb41b2f17cfcc2292c5bf559b38af3b25db40121c6a5627997f65765eee1743c204f1161abe3f71ac1fe4de6aec1d7",
+    "Name": "matter_g1_mul_19",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000016e3125ae97a2b1184e2c6dfe5d9459ac567c686e65674f3b0513df6de5e80d1efbff3c254e509eec3f951b0835b5829000000000000000000000000000000001889481258d3e898ed4e4a43e74c0eda5ba26c0b7525973ca86b896969240ac5928ba58bc86ec17a47f2469d023682dc",
+    "Name": "matter_g1_mul_20",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000017d8c0aa81ca6a1e4de8d0b8b3a13b1d6350f79ee8439da97a5d564d435f4d40bde99138b67284beffbb176daee92352000000000000000000000000000000000a04e0bee6b9681db56604a6dd5e41c072e84f8ee9cb4054410eb610472b96c09802a1d70e325c40c7ab7e248eb2e3e4",
+    "Name": "matter_g1_mul_21",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000089ae9fc5cdba1a24ca87fe4f1207d1a36c494d842eed330069f988d3bc8554af1deee3a5c59b5e74729097acc1185fb00000000000000000000000000000000002fd95001da3011b48067d351ec8667c2b2390b23fa0948896725292311dbae71b51d6d5d57e173970bc992d11fdd11",
+    "Name": "matter_g1_mul_22",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000548e7564e09c2bad9859dd63dd1045878c9b257015558b18cf5911d1763325e411c1fb8af52e8766fa7adae83eea12700000000000000000000000000000000111235351d136905fd19fa726eb6626085875c33c98067a01fde9688a5b2c289cb8e3f5d6a85d0829200a355c82f423e",
+    "Name": "matter_g1_mul_23",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000165504769c7ab0d28b39f38f3bd09cd47c63b74c57d39935d1c03e262f9da0e8b0b9264b0d8e2908423fe5c74288c208000000000000000000000000000000001680df1d577bbbb66ffa10258bca54b74cd90a7b3f3d50472e70e18ef54b7a4412e9eb93e39b9b312e3e8e00a52e4067",
+    "Name": "matter_g1_mul_24",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000087a52e8eadd5461e202a640024fa17e201a9f0a2984be3fecfdeef86abed72d059e8879d0be8789f2a6db0d2cf55d3400000000000000000000000000000000196fe307db05207661a5a5f8f7fb24d8fea18ef91941ea7febbc18819f49f73aef9dd1bdf4fd605e031dc04f16fa92e3",
+    "Name": "matter_g1_mul_25",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000000301caf675cd5359bcc274b6141bb6ac53ab6a86a38ad4f8c3233cc9c1a77723eb0de4a2014e556185947dc1ef6624e3000000000000000000000000000000000136d286e623637f12c8b86cd9fad2bed8479ace5189e064a4e12e6e641447dfb0399757026126ad2d169c05011f5031",
+    "Name": "matter_g1_mul_26",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000004ce73cde58c9af5d1f76e100849b0ba3d3cc6491e76b39cf4d7b681fed0686396440f6a721f73b31fb14b4c7624c176000000000000000000000000000000000e26b15c1051d7b049e82476a30545cfa4bf0a2075681d7028797c528712c7fba7a59145c9dd9ca9f5e9b1ac8a68b126",
+    "Name": "matter_g1_mul_27",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000028a89c904f63eb8e68096bd2001458a4b9b32556c93fab5e52ab26ed73d62f0489d6bf1906a62c8148d50d30222a65f0000000000000000000000000000000007e54f21e2ac6d5287289ed9e2a15d457b5dac22ef36c19cb28a6cf9a0d11c981bf6549ddaf7ddc0a59b3d3a4698d975",
+    "Name": "matter_g1_mul_28",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000008c39ee7c8d86a56ad1a9dbe005b4f0d44849d6fea6bbeb0732de725ad561befd49d465a134bd1a63a39eadbb6e0bce1000000000000000000000000000000000d5c892c92817fa24afb0a0fb319ad21e309edfb6300397a215e34eb3aadf91cb41b4ab1c5273bfea6eaf33982c75eba",
+    "Name": "matter_g1_mul_29",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000ba1650840e24c0f99ddd10a6c3341661e5c96b2e95cb6bda3340e7a0167c906e2f0ccbac6f0be2d7dbb3f9370a5ec960000000000000000000000000000000011638a3d9a81c0fe2ebb547808db758c7cfa8648b4835fb8c4931fd622da3a001fbce9a21d61f98f35b1e907913ffd25",
+    "Name": "matter_g1_mul_30",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000000eccc25cfd8c5a58b330a74b92af0c2b932772eacfe898ff3d391fad5dfba52a3940e8edfc9bef5c4de670207c8585100000000000000000000000000000000095ae48a94c92c332915b0c07511bb0d54c316ff3a0dd2509a18a21320b506bbefa76a459260efdf4c045404f02e114d",
+    "Name": "matter_g1_mul_31",
+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000017a7f3b439a98885994a6832b6394b0ec9968f665b5810da58e3ece3d8e8694c482a15d3129732b43d4b7008660f19c000000000000000000000000000000000195299086d3b9448b26fe830522d520d132ed59744e677e6eb114ba7d7045019a0d0386cf817701ca3afad2a0487a689",
+    "Name": "matter_g1_mul_32",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000063c123a3cdb92469e7e57a18eaf3e7cab1d85d64cbcb52499d2e611e6ba71c717b0ebaf4cc9208b18c925a5ec167b78000000000000000000000000000000000fa5e78ae10ed8a4dee9440bfc7637d903404749681f85bcb62444d921c4fd809a646ffe3bb7c70dc906d07c62381415",
+    "Name": "matter_g1_mul_33",
+    "NoBenchmark": false
+  },
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+    "Expected": "00000000000000000000000000000000192b1497c71eb894a7509bbdaf308428e4d5899edb15f9e6e45a88340f55e1b76ee0901a830b66114deccda63a913a6b0000000000000000000000000000000017d58bd474a61ca0ceb23ec392dc08abe5697b8394fd60440cf787f15cddab36aa99c2ec2341bcc06dc1771b5f0fa139",
+    "Name": "matter_g1_mul_34",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000015f72ad769cbaa2bbce0aecef9559b825ba4ec17ec5be2d9f0dbc7184383eb3e201de5163e71f1e71655acd5ee1fb30000000000000000000000000000000000194d27d9045b9760e66b578af24b282d9aeb28eb51206d2e18dc04bcb6df90553a846736afd92b23aa004f8de90bbf9f",
+    "Name": "matter_g1_mul_35",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000146f12001844bb0ec185e773175634f2e56bfa7190caa851ad16443b629b375ce3967b0c936d30dac2f126343722ce5e00000000000000000000000000000000080e8e90ed0d259ad803269711e511577769f7886b425f9b7857dc90ab36438cbd7435f6eecf2328f5fb6eb56f370163",
+    "Name": "matter_g1_mul_36",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000001344d2c2bc5ef45dc69597e948ed6021d84f7bf2c36119869a3f84288f3bdd6fc3a0de2b9e2564a930c2207c1ee36a0e000000000000000000000000000000000dc4d15ae09642ffa17d77510fb1ad4bf9e06084e9d352f4e234ea35f33458df4f23a209e29da42c41fb9a3cec3e8242",
+    "Name": "matter_g1_mul_37",
+    "NoBenchmark": false
+  },
+  {
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+  },
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+    "Expected": "00000000000000000000000000000000139d093364c313d400603dba5a79479d566245a397f88aae748e110e09e7ab6dd271b8c37a90b86f6b48490ec1d0d8f3000000000000000000000000000000001099d4cb400f2d786dd2dd5d162580d2113c8405f51e8a619a6894d86a7f7ceb237289808acffa274069c24ee27c860c",
+    "Name": "matter_g1_mul_61",
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+  },
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+    "Name": "matter_g1_mul_62",
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+  },
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+    "Expected": "00000000000000000000000000000000141464b4326b0353aa99674bbd98853b926aa580c1e03673297bcbe9094eb1d795331d16d883e0583ed0551f064d7a0f0000000000000000000000000000000002dbbfb86c4d313bdbc8ebd266c190e38645016aca22261665dc850b0d7db8b240aacebec8af097724e5291ff43e6f90",
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+    "Name": "matter_g1_mul_84",
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+  },
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+    "Expected": "0000000000000000000000000000000007c87e6d92bd41b7fa6a6ca890bf0b58304875a79af7959d9226a5be2f4ac2b4531fd09712eb6299c23d7c1c5ba3997f00000000000000000000000000000000164fb86eafac39e06c2403e315bff96faecc57474bfc964736b1850696ecfedbaa0795e537b8f541159d479ac5b52560",
+    "Name": "matter_g1_mul_85",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000000fb01ce0567f09dc44fd473009d2467c8c16da5ea7b39a1f1dba7b3656cadd6bdf2bf68f96a43252d92e428c1d2785490000000000000000000000000000000008b4fa645f3c56459a17c912c82ca36165e730807282cabeadd9c6c4a12c8a592cbac265021ef62c60eb60df3ff61061",
+    "Name": "matter_g1_mul_86",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000013fe38343072af8ef1d8247c3d46b4fd190086ceddfeb767787031368da6a6a6ae849cfc26a24ead499338e37fa337e30000000000000000000000000000000009f7d7b21882455e9f1f24ea120f3eb69f739c1320c37eb2b17e0a271cb03ac6e2b0c55d3518548a005f28b5748b7f594228758d2cf8105f2ef11d83018157a3119a44874dc34d5f0bddb533f50df52c",
+    "Expected": "000000000000000000000000000000000b9c328c8a18113e1d1f783432c857015eaefa724fa2c441d5ef76b158ee6fe0cd1775b0c6db7600754cbf25fea528fe0000000000000000000000000000000019d30c3557af1da2ca169e70625732d9a4396b51f3b4988a9aba1be62538fd51c167c83e921f4876224d361afc90eaf8",
+    "Name": "matter_g1_mul_87",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000018c6df81d810deaac0b143edf79956c92af7941f7b279db345f838bd583177912fc2eb367616ae165e261014a4d7b1b900000000000000000000000000000000146696840e8e988d0eab90ea935dd8b5f1272bbb81eb524e523c57d34ad7c5f0f3b721566f51dac4774826b84cc1c82fa417c96f0cf4355a78513c77cdc676a7b09125802c8045756da867e0025a36f1",
+    "Expected": "00000000000000000000000000000000041054430741e889d4cd8e7efa41547eb624bd775fd9fb64cf9e3dc2c6df27c95ffb8d76933ac4fa1952a5820ff88512000000000000000000000000000000000e8a28f5c622482b296a43ddb607e0f25635664fa849f3d6840ed7118892106a787bc07806dfd83935754d2057f2eff8",
+    "Name": "matter_g1_mul_88",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000c6b634d90c2664b9fa4ccbca35913d23696825350e21f0a6dd5e9abb17497a0a499e1b7b928a57ba8c730158f63b75d0000000000000000000000000000000009d569f05e69a38231d0f636e1ef040af059a00db4ff09bd2ad82b7e04cc041a33603c2eb9b148e3b1412bdef9740ab446561328b7689b0a89014823537cf9eeaca6ea5c56a3e58d2abfc2ee455dfccb",
+    "Expected": "000000000000000000000000000000000da2286b44e7e90e19d51c3c41bef375c54688b07afffbd7c528589dbf7f012e1fd248b9067a3faae9f1c6b626a5c90b000000000000000000000000000000000bfa0a482b0fc445f7b99c52a48116383bb70d5f2ebec5b7715796fbd0da744d0467584bfc1c8a42ace833d57c167a24",
+    "Name": "matter_g1_mul_89",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000018129b2f00be24717c906d215beaaa136758aa1730bd0bbe9c0de9b3cbb3c0ea47911817fa322b907cc6fc720cabde05000000000000000000000000000000000e8b0f968ccb230517ef8980be559f410a2c4035a1101e6796d4f7a5ee5c93a19c111d38930bd5bca69405fc35fea7c2cf6c3fcd4b9e6b72853934b306a078b1f2fb17879db4a0a93d484abbc2b746cf",
+    "Expected": "00000000000000000000000000000000148a7e9b0b4fde322f1177ced0bba34abec4a3e500afb86f9ae0a71bd75004e9c631d4cb26798bf963f7aa367f74630c00000000000000000000000000000000097f4c0893f9beadd66e4cfc6976dd277e527b1e31443e07554dacca52390066a4b37a7f0824cbaf51d3a555d696881b",
+    "Name": "matter_g1_mul_90",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000001667fdc9b89d12fb0704fdec910cab1b51ac04219ef6e50f996688b2ceb26dca0e9e8594c5b81fca2e8fc2c8d8fa9a4700000000000000000000000000000000193118d1f237c68a8a0961fb220c0fd6a08853908a039dd57f8ed334063e5316bf83e8c3c3f44420734abbd7ddda31a6f6787b565e8d71be6fdb0c97c4659389c800a2047f668b366214adc716f402d5",
+    "Expected": "0000000000000000000000000000000003e1d921b5e0280f7370d55967e716bdacb7521547e22190e89862dbfcce02dfe7fa7927a70e7bc33448b9321de3d8ae000000000000000000000000000000001163f78de4af8494666c64d47d68a0feb0905c42ddfa024398401202d1fe0d6672bd1bd4222a8d106668ba4617683485",
+    "Name": "matter_g1_mul_91",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000217a4c563d730ef545e452038813301933ccc6638321ee5e217dad0be2e3ddc855a14054d0d72b6bcc692a5fb1ac7300000000000000000000000000000000007025f1c4a5f85a9c1587d4d4a2e620d83d60568343940ffd85e6b1e4fb0f0f53bb08c4f48bf6f45a7dbc3722ecc951e40ed91f6ceb2ccf87e4106a16227a3cd7b2821b4f3a6e629001f78ba1aa7346e",
+    "Expected": "000000000000000000000000000000000a94a186b96acbee87f9c1745dc301229ec750c6967262e629924227c6680b1d404e4b23d998611ad0e415610dc8edd900000000000000000000000000000000014da21c0f6930a79c8afbe42f73e048236b6d9f9ef8f270733fa1cb1012377eab37ddf2b9c742fea44020caeb95beb9",
+    "Name": "matter_g1_mul_92",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000009ec00ea2da59d937d3154d86dbed2957667253401bce9de80e0ffe6df32f36b06404b9e3af08e912a0b4ef091f93efb000000000000000000000000000000000dd8d1bd66f4accbc9d0c7dabef7af72f51c67a0d61384647533ad92bba44a312f0be0fa52163176f1aff4e64c00aefbae8ddfcdb4748981acb9b2037c017174a140f2457fb0148fe807fd194a9f7be5",
+    "Expected": "0000000000000000000000000000000015cc6c31dfa9482c6341f816786562481bc3a4db4a4a00807a9c7c676eb32b9dc7e002ed4971f26c1dddea00d78721b5000000000000000000000000000000001303660b6bcac611b2d41a4f7ac9ecf3f0b4292f83f2fdeba300a060131322ee3c2da3ca3539114114ec8a76dee6a5ac",
+    "Name": "matter_g1_mul_93",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000014153e01c9e495c5c01c82b3cad9eaf20cf78369ccbabf57fb160ded309cbd1caea3d3df38a7ea5490c67f168e9acec0000000000000000000000000000000001648030be79658c134e016a211d311841988065957b35e9bc1580fb6e05e291e747b7a960a50e26a2a3c0cd1634c35851268803aeb58a2d57fc797358fb456d5cf96afecb1ee0d2b90782aa0d652b8c0",
+    "Expected": "0000000000000000000000000000000009f1903e9a7d275487a503b9c968cd86823fe6667c09593b60ac2c88f306e20ccde32eebb5942a03fabde9195c5c500200000000000000000000000000000000179b41dbc2ede95ba7dad512329aeca9ca3bfd4da4b9620070d76d8fe8b49ad7fa92358070dd5098a2eaff490641edbb",
+    "Name": "matter_g1_mul_94",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000001555535228eb9a24f460df9894d59aa06fc848a8bf8d6c3b51653b1d85734b3c5a2bece161309bd478d356fa198d579500000000000000000000000000000000144401f7eb69f6321eae8dad39dbe2cf4ae58e455474701dd9f1b62c85c7536813e84eb4f9def511eb62e5194288728bf9a8a4e5c65973b785c1e2637937de239bb0fde34b786dceea66f6bb12eb4169",
+    "Expected": "000000000000000000000000000000000f9736431073987708757d61927a45cfec471c8366776e140f62d805afd948fd132c4a5f4049de3a1474d0cb52c3c25e000000000000000000000000000000001515b057952696810a90dce1ee8464fd6370e8af5434a99333eacd1fb2884f6e8c568f887030a4957ff6d24ca02f4657",
+    "Name": "matter_g1_mul_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000b767f399e4ebea34fd6b6b7f32a77f4a36841a12fc79e68910a963175d28cb634eeb8dc6e0533c662223c36b728cce2000000000000000000000000000000000cb3827fd6ac2c84f24f64789adac53439b4eba89409e12fbca0917faa6b7109aa831d16ca03191a124738228095ed65070e7e2ae2751a1f71962726a31f77553c2da38f4fecda435b6e5459d5e833b4",
+    "Expected": "00000000000000000000000000000000195460b2d59df32f9f41eaef1139d45f0cb8f35a7982c38d356a8a8412f25e600580026d2d908b0493edba5dbea85f5c0000000000000000000000000000000004b339d62b3cd4cc966c6b4038adb302f997a16d8a6dfebd153295de08e57d1513cf0f16d82dc450e4d6f52621a42fb4",
+    "Name": "matter_g1_mul_96",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000150b75e9e9c03ada40b607f3d648bd6c40269aba3a1a992986dc005c9fde80bb1605266add0819641a0ca702d67bceed00000000000000000000000000000000083b43df032654f2dce90c8049ae4872a39f9cd860f08512930f43898e0f1e5625a5620818788797f3ca68134bc27d22d16aa883a20307f5436354bab32b4633e83178f33626af3edb14f82724b8e125",
+    "Expected": "0000000000000000000000000000000012cf2bcb79668067b7a265672ca614405868cf189ee9789b9e1e3186d231176dab5fea86cc5865392db8c75fc5d124c900000000000000000000000000000000121bf40feea00e151b718157b8c024f126762d84cff20aac08e7f2a027ab88b33e134a410c2af279a39618f7d21482a0",
+    "Name": "matter_g1_mul_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000cba419694214e95a3605a9b748854d16c8e6e1ee151c907487d8189acfac1361b790a5e78f43593152027295adf8df400000000000000000000000000000000110813ff6e0ddf3427e2a514d3f0bfbadcaf9dbf039e0f93fb9643d1e62bc2469fe84cd9ff0d585bdd1037255bbe5485041390a2209b80f7c64d14965cc2f515d5fbdf37953f75c4a0203bf0d9fb674b",
+    "Expected": "0000000000000000000000000000000013a530f94e7600820dbd8aabefde2acb8b3c74e833457102fbd297317eb532c0622636ef9e9376fac1637dc745fe895000000000000000000000000000000000139eb14d3b69be977413c832bfda234348186d46fe177154e34fe204f62ac79f4b0f59bbef39b0676d81ea42a0946fb3",
+    "Name": "matter_g1_mul_98",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000106df8eba767e90cce0eabdaacc24d8e226c6865012ef8cb1460de5a319d443fdc6b4f4e58fb668943e0528b1809da10000000000000000000000000000000019789f464c95c179af18704c0b67b881991880f75ee7b03b9feafa3eafcd0f7d30a17fdd9cf439ff7fe683adca2083b57cf23dee8d95d94046678f3bdb4b0ea3d4e3a1a2f07f582e2a98ad6eb7562cbf",
+    "Expected": "000000000000000000000000000000000bf700422a382546a74376b0292f3a49ceff5597f0d2b726b1ff099bcda7ba92238a21db12eff5c314a29dd2387bec850000000000000000000000000000000005e22e3c772f3634b1ccf4e311241977eb20e7269540ef22d379de26ab80c58461dfa3b67848e0d584fb11de1917949a",
+    "Name": "matter_g1_mul_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsG2Add.json

@@ -0,0 +1,626 @@
+[
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "bls_g2add_(g2+g2=2*g2)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "bls_g2add_(2*g2+3*g2=5*g2)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "bls_g2add_(inf+g2=g2)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g2add_(inf+inf=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000a9b880c2c13da05bdeda62ea8f61e5fc2bf0b7aa5cc31eaf512bef7c5073d9e9927084b512e818dbf05eab697ba0661000000000000000000000000000000000b963b527aa3ec36813b108f2294115f732c878ac28551b5490615b436406773b5bb6a3f002be0e54db0bcebe40cb2e2000000000000000000000000000000000bd6e9060b42e36b57d88bc95b8b993da2d9d5acd95b73bad0509c2324212bcf7a94a46901932c0750535d00008a34f7000000000000000000000000000000000a374afd32bc3bb20c22a8864ce0dafe298bda17260b9d1d598a80830400c3fd4e8a8f677630eae5d4aa0a76a434e0ba",
+    "Name": "matter_g2_add_0",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000079e4fc2190d3441fa76c2d925d23b81e353e09e9138fdde51234195e564a32c98aa0d240f051298bf966d17adc2d6fb000000000000000000000000000000000aa327776fa7e15000dd548fcdc3a1cc6f9d0ab33046dd4240a3002962131b738ffed579945a348c795cfcb33682cf3b00000000000000000000000000000000179232ec56602d1ff79861cbfa2edece34b296541483aa65fe0cb493f520b7722cfffbe04294dd054770a38bf75d927b000000000000000000000000000000001826b88a6b411330757bb304a380487a02f7cf421115b84b3f468d11a83dbf304ce7a5661f4f01299d3c7865305a0006",
+    "Name": "matter_g2_add_2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_3",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_4",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_5",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_6",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_7",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_8",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_9",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000669cc8a3acae17f99f805afb9012a38851a9e8d4fd9895a9946c29fc859849c24d7ab7b6278c449cfbc5f1d7ea1fdbd0000000000000000000000000000000007a9095be808d0ebc99bce94e851d2a7cd3e1977b923064ab5bbed2347cf18f3343e60120fa051d12fe27da3146cb423000000000000000000000000000000000f1e7f75887651f67457f6dc064d7c11934035d15fe4dc40bab970160ed1b1aa230a3fb84dc1da08770d847c0216347a000000000000000000000000000000000efbc62ade1678cd70eb38c644038bf19e52b0859f65747068d9f3124762d951e4a6ff05f34b6d14919774f8409adff5",
+    "Name": "matter_g2_add_10",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000067265782d58b04a2ef3dd419cee506e076e49d1119e28db1df7f0e22cba9bbdabc560084cda50bc8db3915fa9c489a30000000000000000000000000000000012448a61fb2f6fd8e355111b671f0e888304284b72d5688091f2ed00edf7ccb7e5bd8a733a910d6964dde07d393798470000000000000000000000000000000005f687356ff6c634eb46613be8e98540107e706714434faff54510234d4aff42ef7752e154aed63fa8ff905ec0af628f00000000000000000000000000000000180dca84a37c964b30f5cd11a090e54acea102f1b884319f8d1252a37bda005512ffc39dec8e33af0dde0d37993f846f",
+    "Name": "matter_g2_add_12",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_13",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_14",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_15",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_16",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000004fc19f8fe47e6acd37567016704b07f906e8741fcb196f697e1fc24b0204292693ff424bf1c5e407f5bcba5a3b1ab85000000000000000000000000000000001816f992c3c461fa6d2014ced382a35b0d70e61927d72b4d661434efff3dafe2f4b6cc91bb1a5dbf809f10f3ed7f36de000000000000000000000000000000000dadf7f7223ccedbeffef31c97df7e01f99299da71b589c8828b65715012aa343d7e041dacc57b34a6b5f84523a7938100000000000000000000000000000000167f7e73e22df81bd2a7a6f14e940a401bf414e5d18b3aa610b2a82ca8f46aecb5721d0092b27f8968b2302c37957268",
+    "Name": "matter_g2_add_17",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_18",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000095fda8adf3981f4468fb82aa0ccf80e55138c922c6422cd8e67f53ee63e7a390bc345469e9211a1f8d810cf4ba27d0a0000000000000000000000000000000015c19b6af21f75e8e53fcefbae1c8d7f97853a8aae5fa62e606cfc92ae71890702ef9dc5609d3ca8fefd415fbd820c04000000000000000000000000000000000007b7e908766d34c5d99cb7cc76d5d5ea83c29ae1d9b83b163741bc9962e293926b1e251b546ce0c1268def728da78100000000000000000000000000000000084fbd6253211f7d66d52b7f14360729d54b2f94c52f2b76e521dc3961c40b4f19944923f64c6425a44eb158a9727a4f",
+    "Name": "matter_g2_add_19",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_20",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_21",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_22",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_23",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_24",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_25",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_26",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_27",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_28",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_29",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_30",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_31",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000003c5498b8c2d4765a270254dc927c6edf02acf0759540ddad951ea8c097bddb949ea0bf19942accd615bef21e8572dff0000000000000000000000000000000004c17bb648909bdddab4dd86560cb6b341e96f58c515ce471281f226181bded16b358b56d72e363f9ec491b8a9dcd92c000000000000000000000000000000001828973958204f8ab8cd13f5af5f3529f368a149bfe931a8002b61a61895457fbcb0cc6874631bb55799c884b998d8b9000000000000000000000000000000000f61460bf61bbf3ce38917850bfd3cece1e3955ce29d200c6f8aa89076c70919c02668678edc0bcf94efc9e9ff6a650e",
+    "Name": "matter_g2_add_32",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000002c6104b3494fdef86d53f87bea68d313188c0908b935fb3b9f636ccd401c6e9cbd33bfcdd437e1a0150d0e4b9c3a881000000000000000000000000000000000bdc88396f807d1ba8d4d6e284d008b5e40445ce32c23a0178824fdbb6db3c5aede7687eaa2f12249125cded57052ad2000000000000000000000000000000000c7004365c1d3027997b55bd258dfc61ae07a762666fba2a14aa2ca116673fc03a6f694c069f53cd915fef6d37513101000000000000000000000000000000000ec17688d8f53e2c92502091c859cef4fe9a57ae984cb1e72686bf1f0656b10246293cae4b96214a38dc76cf2709bd59",
+    "Name": "matter_g2_add_33",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_34",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_35",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_36",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "000000000000000000000000000000000038f9df6c14f84b8ef8045010c8973e5c2f8d2e37268f6a674298de7b15cae82361ebbfaa00ea1cb2653c5d00886b45000000000000000000000000000000001376f7e2d5621aa9d6f7ce45ed11de7e0e1095ebeea976f78eb83189c6852ee199840c14059c233bc3d40efbeeb5eb36000000000000000000000000000000000c7b0e53adf4f0fc5172f903e3fc479539348241edc3e277f30ae6b4fc419aadcfb73a8f8a09a1ae1dd885a6250de0040000000000000000000000000000000007a00b57ecc8b056436ecacd7e0fd346b906b15042e9a700f54f8c3b1d251c566e0c55bd34f7a9e30f1566b7f2ab16dd",
+    "Name": "matter_g2_add_37",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_38",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_39",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_40",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_41",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017faf481fd4cb0c373d21d7caad40e93d9a86e62d26136892fbcc6f6e48205543aff00c45e82fdd1d3e0e733de91e7000000000000000000000000000000000012e14fcb9ad4d9d15347cf004745ed4bd92097eeeb41c4cbcb728a234616363589d8f5ad4cbb61d31a8aa27627723c7e000000000000000000000000000000001513dad1ff27e053902e779e35d04cab648939317830144ea775c435a4b55e13fa2fef03a1256abf5c187487c25a774f00000000000000000000000000000000139da29de8587c7d0ca9237c37a116387385e9cea453b9e2003a37ede7aa0a3f4c1df55255897f5975b662be33622dbc00000000000000000000000000000000161b70d0f384e589d8117938602f3d696f941c24e3c1ca5a9be090b670456c9df315d6fde52daed55c9d8335928a7a3c00000000000000000000000000000000186bb9e6f5ba70dd2c66a641d3b711844977939904c59946d4e9f49ac2d8c00890a43ccb20d4a62bfff63ce4a0a44e8e000000000000000000000000000000001995b9d697bded656236430e78726f0f6ef963db9a5a24d455c12db38aeab0f8629e5dc2d04920156f2a057d69613096000000000000000000000000000000001119b13caf82c18fadcb65c9c166914bfd822534bb9def3feae6c9e572c97c84e97fab3b345cf59358436a404075493d",
+    "Expected": "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",
+    "Name": "matter_g2_add_42",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_43",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_44",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_45",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_46",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_47",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_48",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_49",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_50",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_51",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_52",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_53",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_54",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_55",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_56",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_57",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_58",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_59",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_60",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_61",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_62",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_63",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_64",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_65",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_66",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_67",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_68",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_69",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_70",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_71",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_72",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_73",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_74",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_75",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_76",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_77",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_78",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_79",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_80",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_81",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_82",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_83",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_add_84",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_85",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_86",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_87",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_88",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_89",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_90",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_91",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_92",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_93",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_94",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_96",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_add_98",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000017555399f979745302f08210de5311a6401b6b181100b3bc6b6d450f0f62079d2f02d7badcb164f50dfc46a975cbd6720000000000000000000000000000000014aea86c06e4c1fbf0711a8cfced2544c7624abc7ae7906cd992bdf575a702540c45c2117e221446ba09960cbc9048ac0000000000000000000000000000000002fac56960c4989a84e02ce36e8970c2e847ee45579d31ca77f042bf96505af574af822da084ae64b22ff876610ba9a5000000000000000000000000000000000a481cfea2aef8975c80a297ce5a185dacd25649d41f8466d3c63d786e3c264a8e4ccab5ef6b80ab1260e86ab6d5b3f3",
+    "Name": "matter_g2_add_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsG2Mul.json

@@ -0,0 +1,626 @@
+[
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g2mul_(0*g2=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g2mul_(x*inf=inf)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "bls_g2mul_(1*g2=g2)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "bls_g2mul_(17*g2)",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000006334ba1e361fd94bbd98f44b75ae9ec00ecb4d3467b5528870b1a1fa9a7d04449f12af90bd4c7a1e3f29e717d6d19d3000000000000000000000000000000000bf4cc1626393956915845ea7ca43d30a59c7196fbe309f2d5ee6de7e40c191d29821dd6aae46abecf634b904de8f7490000000000000000000000000000000014aeb09e252cc74610ab956057d4ac5af95cbea8a6baba9e5062643dc037d6841044cb38b22d7dfb978fe0b58f94cc3a0000000000000000000000000000000000fdcd73452fc1ced1c06e6271410a48dea05afbe889a692905e1baab8d72418c62531aab8b74842b51016f0a9cbb93d",
+    "Name": "matter_g2_mul_0",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_2",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_3",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000042d0c1941ae0ed5e8787437ad5e2753bba02185317848e8ec2e425ac954e0efb1bca534725adfe87e8507851ee337af0000000000000000000000000000000002db55ae8126cbe86327aab880381a81205e33a351d172c883b9cc184799866a8db5a6b4321496e05d3ef62d00416d9a0000000000000000000000000000000012c45444403dd62d7be3e7658dd85909204751dd7d085f6edd38c0aa9185d3c32407d8c95bba371b380f788d0dc48e0900000000000000000000000000000000111421c6dd0db595ab731adfb4bc76c84a61197cb023b6f17e7176c443f20a4b6f8cd0a00cfa61e831ed20b3c6a84d98",
+    "Name": "matter_g2_mul_4",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_5",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_7",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_8",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_9",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_10",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_12",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_13",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_14",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_15",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_16",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_17",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_18",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_19",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_20",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_21",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_22",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_23",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_24",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_25",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000011769e191fe258ffd1922295a9fe877ad5a52fde6e343730f8f5ec6cdcd584f8ed1dbe0f55b5dd81f5f78b7437f02abd000000000000000000000000000000001253689089e9192d10a45342214425de36740c120e49f596d24658941ce2b2ecfb50e879be0125e3d159088f88e234f10000000000000000000000000000000017b642d1b5a953f47fff8f0649263f16f41a0ec0397d5a81571174aeb85431c352e2bf6bafa6894d2e6cdb5eafff16d40000000000000000000000000000000017b3438d0ddbd2ace1e63802013b5bac00d31889dcb2d9653a6f6412d157aad2fc45267322a62129087380bec65ec169",
+    "Name": "matter_g2_mul_26",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_27",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_28",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000d6e3068c082b68312141aa68f1540ea1415e93e7f1762b6f06ff408a9995542da1c727a13355c19f8f418a44de1a95d000000000000000000000000000000000dcfcf2ab12b1a0e521ab402aaa4d32ff649a5a97892eb6ad98487c3c73c35601c313b8130ad12e9098d16eed3bcc2e00000000000000000000000000000000013777b1eefa4af03dc44e4e054eb7a3a980a9c55644900b80346be84b970e1754d1f4ab771adc9249e4accf88a23fb400000000000000000000000000000000002f53b231f1209c6f8b52f99a78bc2147c951ac89b341495f4a60a6572985ce2bc823625099ec214bc9ceedb2deea3fff396ee22209271ea0bda10fb5e2584e7536e8bb1d00a0dd7b852b0aa653cd86c",
+    "Expected": "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",
+    "Name": "matter_g2_mul_29",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_30",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_31",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_32",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_33",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_34",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_35",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_36",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_37",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_38",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_39",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000006fcd2c4fe848e9462ba1112baad39031c210952adbdd06293a622ffe2d1c6e4fcc8773ec8913717018b97bcb9a554fd00000000000000000000000000000000130a97442f3273b7b35464545e7351faf71ead9b8996c63889a45945ed82bba29bff5014776c6185219a5234d8475c92000000000000000000000000000000000491d571bac5487b866022a0714be11b38bfb296233845cc434a50be1d35f516b8c6b046fe3d0a8f4f95ac20eddea01b0000000000000000000000000000000017e34b04e6fdf152c848f2432b7bd84b3dba3915f06eb77efb8035750aca9d89e92e1d1bc4871105c440d639e8d8b05541776ed9d1029918af4c5113a6110139b8bd7f938caa204373a28ddaa51430eb",
+    "Expected": "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",
+    "Name": "matter_g2_mul_40",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_41",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_42",
+    "NoBenchmark": false
+  },
+  {
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+    "NoBenchmark": false
+  },
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+  },
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+    "NoBenchmark": false
+  },
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+    "NoBenchmark": false
+  },
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+  },
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+    "NoBenchmark": false
+  },
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+    "Name": "matter_g2_mul_52",
+    "NoBenchmark": false
+  },
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+    "NoBenchmark": false
+  },
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+    "NoBenchmark": false
+  },
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+    "Name": "matter_g2_mul_55",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_g2_mul_56",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_57",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_58",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_59",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_60",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_61",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_62",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_63",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000e9c1a6d591be4da37fd6dc283b8d899b625ccc96371dd3d7731aca66cd2a978810497171f2aeded64fa2b10e480de2100000000000000000000000000000000006d2ad7287847255002480627782d513eaf1f68a3d583d4762fc156b8eb40deae6969fa8a7d8f8aae923800091386a00000000000000000000000000000000003c7eae0eda08df9b9eee2605a44fbb486e3bf2e409aaa1c8f38c06f969ff1f74338004b01288dce99be26a837e45d3a00000000000000000000000000000000178174d2f569a9392eddd2715ceba8762c5bcc6325217db5e5f970d6fde069d0e48a824e5b6ca017891de175c92f6b29",
+    "Name": "matter_g2_mul_64",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_65",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_66",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_67",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000018fa44efeabbd1cc47dd9b1a1195ca921c99c77ed43a44502aad27b6c663f5ce2623382c3ddf208f42e3eea741281f4300000000000000000000000000000000138d11e497e3c5656bc8fc0ae4322a0bfb6fc20e249a47a103b164aa3d9fdbf7df4b1e3b0842b4b12568a31992a151f000000000000000000000000000000000182490d6ae35c1208c0d608984df4988d057f3ce5a25073c77cd5b224a5892768badb1ad5cef8f41d1d2022573098c320000000000000000000000000000000002a6e0523781ccdebb75063dc7ad1a9526f9ff8ea1364bae487914f254c0eebcbb2cfc3715fecb9599bfc2f5feaa62d2",
+    "Name": "matter_g2_mul_68",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_69",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_70",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000cfa23c46881893f6c50d238a83669deb520a7fffab4f912f77df7cca43f6827a1a0ae0b3f36c8f116ecefa33b8bf37a0000000000000000000000000000000014b7e5c18d2f9bfe15b0c1af3bc6e230039a341e135837d123e91cde9cbcda298c66b93f692232c912e5d7d3d6331c430000000000000000000000000000000009c8984999ecd3a4144ccb925d3e5cae5c1662dfbf8871013b1cb2946482fcb075c489c61b8d6261f2574b44da3fc1ce00000000000000000000000000000000196e7feab383211e4825cf98219c63bf9f45a72d66030219cb585d5d25237a01a97f00e122db6a51325022e69e7d8cdb",
+    "Name": "matter_g2_mul_71",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_72",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_73",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_g2_mul_74",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_75",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_76",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_77",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_78",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_79",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_80",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_81",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_82",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_83",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_84",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_85",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_86",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_87",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_88",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_89",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_90",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_91",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000f39e731e6ddb7496448c912ae314e833d28208252c7f8e27bcf7eeaf1da6e2310538b4ef0d55401c6552e91fd70691600000000000000000000000000000000069d3612f924961f827497028737000513548ad8e104acee28f014e730d4752a583cb9a893e6169b71966a1c4a4ad2dc00000000000000000000000000000000090899907edcbd336bd4fdad0dd67c578ced4481a25b864b32aef920842689a2c23265277a6e1d4a1dc1b5047a9f79a000000000000000000000000000000000055ba64e2502baf68e46c759fca30247a080464eda2b32e7cfe539e545d6aac6dafb731c2c45749e50513979cecbeb5440ed91f6ceb2ccf87e4106a16227a3cd7b2821b4f3a6e629001f78ba1aa7346e",
+    "Expected": "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",
+    "Name": "matter_g2_mul_92",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_93",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_94",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000007b46fcfb2cd8efe32754306ff2f503d7434168c1c3cbd7c80470cc5a5c8bda10a80bfc0129da349724d2d6431c5ac90000000000000000000000000000000000e1078f4f4ca993d90accbfc036219507bd22d00930ffcfe1227780c00914fcff845698b2541510daf59cc83d8b947e7000000000000000000000000000000000b7c6d9951570e685d3a71b19a38f5485f974f85fe8cd4b4c196d33a18750b278b6d374483d81dc3e15c9b8b9b5dfdd6000000000000000000000000000000001003a239ea4a2f213f0f646bdb62cbe4f98cfaf7298d8b2e0eaa07bf3f939e779caab5ffa0033467c5b297166df657d7",
+    "Name": "matter_g2_mul_96",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "0000000000000000000000000000000000ea29b1e059560fec21c3692d4e632a45c88a807c953fa23dbedb271b049d7fc717333b498ed12573a896f872e795dc000000000000000000000000000000000de0d10c47df92010a6635e3403dd6e91a1bf35bfcae82c1008998e86aa2d18a6cfd3f2f1207fde3bb39b723ec4d3ca60000000000000000000000000000000005e2aef9cd37430b15e5e76b2c7870630d255f630c12e865caefe308a39833e00319406746dbb2af3ed32135e91eed49000000000000000000000000000000000c229fad41b0d27ad7b5db33188fa70b97f22e323e429ef65fcf98f5339e908c31df8859b863356e0fc90538c5c49cf2",
+    "Name": "matter_g2_mul_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "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",
+    "Expected": "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",
+    "Name": "matter_g2_mul_98",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_g2_mul_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsMapG1.json

@@ -0,0 +1,602 @@
+[
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+  },
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+  },
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+    "Name": "matter_fp_to_g1_8",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000000671b0f33b0f1ea3386e6876452989416c7171e283c4b0c375e840ea05e7fda22aa03899b50e59e9ca5a87039b2e732800000000000000000000000000000000031bf8caad5ce6a0d94f14693da0d551dd4bfd2c2163c8e8d5a448956153f63ce2ab72f03b97b560d67933887e83be1b",
+    "Name": "matter_fp_to_g1_9",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_10",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_11",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp_to_g1_12",
+    "NoBenchmark": false
+  },
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+    "Expected": "00000000000000000000000000000000047dd479fe99840150e73e4a8fa6be74a9b7d743e21cf33e9d7a9fd8700feeccd5111fb037eb3b15b79d5737ec4c7f0c00000000000000000000000000000000000ba7f57ce062eb9c67d84eee64d64d250a18454bd63dc5a136f5341214079eb9269eea7c4e0d836dd8be63a8a45c04",
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+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_14",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000011e4919deb9eefd13dd0ba5184003ce34ff6c2bd8920dc49b936917a7b6aaf1c7541780b5d0e380e6c808f093a877eaa000000000000000000000000000000000152dbb758aa5f60b8d0703eb30680857abee717114b8cc5f6466e70856f19c76a88ec6c536e7a679c177986bf636e6a",
+    "Name": "matter_fp_to_g1_15",
+    "NoBenchmark": false
+  },
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+    "NoBenchmark": false
+  },
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+    "Expected": "0000000000000000000000000000000012652effba341826ee7bc3108404f5fcac84776c6f5fef5d440454b59f04afc2cc87f243265248445c7c2bfc14493ece000000000000000000000000000000000c0fd215b7c012da4532c882d7d7f83ebf133d58acaf8b5123c1211aae5929c6726410631c7f9347456448df643c9ed8",
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+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp_to_g1_18",
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+  },
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+    "Name": "matter_fp_to_g1_19",
+    "NoBenchmark": false
+  },
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+  },
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+    "Name": "matter_fp_to_g1_21",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000001314d7faac7b4d5003baa10cc432108d6bb7f80bb13991f6ac45fd7a772f31cd43345ea100b05f2ad73e3bf583e7e7b2000000000000000000000000000000000eefa97eaf2143a991343a8823d8b362f77d8370421bd13a9a6cc4988544feb0cafd3a797a28d27f4f8d361cb7f49ed4",
+    "Name": "matter_fp_to_g1_22",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_23",
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+  },
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+    "Name": "matter_fp_to_g1_24",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_25",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_26",
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+  },
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+    "Expected": "0000000000000000000000000000000013af2a5f26d1f51da0d80fe7c62369ebbec235faf4565e62ba475e6f58418183efc8b9906196ffda72539506243e0482000000000000000000000000000000000774f3096c99bb826792cfd9243d8cbb1bab54fccc3a6347daea74ff1c8aebafdd971b7bfbea5b9a0bce243372caad6a",
+    "Name": "matter_fp_to_g1_27",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_28",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000fa72de55fc2229c0176120fac3e0a64c4498bcc7b67ca40b92d47a76a9db87ba498b72f06345c61d59a3d37c51153a300000000000000000000000000000000001f0e176d0987b8ceb7ca0e5ebb491bab0be17282cace8e03d52c986483026180082f86196fe512ac6bac58ec4cd024",
+    "Name": "matter_fp_to_g1_29",
+    "NoBenchmark": false
+  },
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+    "Expected": "000000000000000000000000000000001655eedb905670d10d2f979962e864d68e9491aea41d073a6119e5bc0ae74216383501a48343d7099b93601f8b67c00c000000000000000000000000000000000842846147959f0f81efc6e8f515a9c59456637740bc15b2d335e0de45890cdd814ca7057c5d3e49e48e5a250c5dad25",
+    "Name": "matter_fp_to_g1_30",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000001098de70e8748daba7bbad52ce344619d3b5374821c1f932a18666ea0a591b24ece05004546cd519ba4d78c9747c57cb0000000000000000000000000000000005f537b6a394458ad51c2e677b2d52974a714bcf6a7474e748ad7f1b28738b6b874b6f49bdf19479bce4ff6c6a47de1a",
+    "Name": "matter_fp_to_g1_31",
+    "NoBenchmark": false
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+    "Name": "matter_fp_to_g1_66",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp_to_g1_67",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_69",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp_to_g1_70",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp_to_g1_71",
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+  },
+  {
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+    "Name": "matter_fp_to_g1_72",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp_to_g1_73",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000013c11f82052df6294da64b16551e689c439d2d27922bef2a067bc49eb4718a392693570f3b3e58158dc0f5bc3a5b8f73000000000000000000000000000000001517ee24f199913c184181561823d7c3506caa09d93d506c7773f9f615169df444c9f09b518e840735c259ec02488670",
+    "Name": "matter_fp_to_g1_74",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a546a1f4d65a37d7d60468c18f72152473feeed100119b4518f4c778a7a37a23e8c60ee04cc0b39d5a1eb8c908856870000000000000000000000000000000009c5766d9c88dca87768c0aff4160ff0fdc3aa67dde3eafcca030eb295a6736e95e415f3f5a443f2545c7fbd01f97964",
+    "Name": "matter_fp_to_g1_75",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a197b81c0950b1b802128a01e3b620fb2134115a0d1aa2946a82fd22e91f172785d19017fca385863ee1643bcd332b80000000000000000000000000000000011fba5b82b0b2726bbe7a6157ec9103d0b5a480066ce5ab7120294930b81c04cf6d0fb8b979d17c3e262bd1268bdf1aa",
+    "Name": "matter_fp_to_g1_76",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000082bd89b49aa62c94ecd4244b3077421569c71efccc62aed3d4bd492bdfe57c0d2cced568df5992a196a7b71bcbe5e3e",
+    "Expected": "000000000000000000000000000000001644dd543ee92960effec90347ffe5f06d6b087f13c6bd73dca93c9e16818d25ffafe3610260cd43ce9909e2ac2e2884000000000000000000000000000000001893436c9dc44500be831076b375d0feccfad2a126110fbcfb77acfb95d6dd6c6615b4b795c007ece6ea0c31915b8e32",
+    "Name": "matter_fp_to_g1_77",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000fb118c86e974734fc434c3bcb783e4a7f9251d9fcfb9f4419529354c8a7a3d9f2215de2d1b9f0927b185c5b4db838b6",
+    "Expected": "0000000000000000000000000000000001aded655b8ba2739b820b894eefd7e60d11889d7321fdae5ddff5dce11551af24acea3f501044562237fe5df53305df0000000000000000000000000000000010f4f3f415891ba4dfb21307798329aac5baea98cdb44354d4263e1ee6436f613a3accf06802ce2c2782e8a15738bc63",
+    "Name": "matter_fp_to_g1_78",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000004da0ce78f3068bebd0a59bc2e41e7ade737375f07d6c9ce962be022856c569a33e8bd6ae60c4bb1b53b3ffc2dcc2aee",
+    "Expected": "000000000000000000000000000000000be0b580d0f12faa809d589ba59c5810c18f74b025e6dd4dc49c83b6a39423c5cf82b0dbb1d750e1801e37a5291692fa0000000000000000000000000000000010891c5bfece55dabcd223518167c5b0663f65c001ed051735635b417cbcf2484a057522e1c3417e43c82095b0cbb855",
+    "Name": "matter_fp_to_g1_79",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000001f43b86ec24ad40552dc4874a632b4ff4663eeefe1a8c613a19a798a0ebe321a3d543e2df28277944a941b4586ac770",
+    "Expected": "00000000000000000000000000000000152454ae7fed9c971cfd72ed054f44124d71542f9ada5a90f1601114289c93fb490a1c5d99b3e8c70fc44fd10322173f0000000000000000000000000000000017bf9499bdc15ae5091daf41812c74535ca31b56520e420edf9e5aa90795ce5db5fa42a06dfcbc7438e954db83f09b75",
+    "Name": "matter_fp_to_g1_80",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000baaca6bc34feac790807b5eb5fd173c86c12803b76b50be59b2707df765bd10eb467effe34f8dc3e1e79df8a54fde38",
+    "Expected": "000000000000000000000000000000001633516081b91621b786a09389e89b274c2d9ec616db5028b009ed5c0a1ab47695a0b95c53a45112144613a4af08e6ea0000000000000000000000000000000014b09586f75c939fd62c3d667ab6263367f8961ad4597f1b92d792e8ef79a469137dfba5ec0a6354d5bfe3a84130bc65",
+    "Name": "matter_fp_to_g1_81",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000000f0474d596ed86a0d664885f9c981228fdc352755d52dd7e979a85fdb1b6dad106d8bc0a1eac04b510829b7da496686000000000000000000000000000000000a72f532897f912eeea707bfd6d183a73786c7b2e2c80a01f3abe7b959467d6ea63093c16d6465382a7808d5f0edd92f",
+    "Name": "matter_fp_to_g1_82",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000139ae959f9b0cc2d900e748220c4bfa7dbe22926d8ecb9a10e7d713fa0a6e147fa3463e06b791a5e604c66110b77f7530000000000000000000000000000000013f8d09915f77f4a18854dc2451cf39d7ff502a8184d3b4c59ad3317d62940e903d68836751172ec0b4a796db003b373",
+    "Name": "matter_fp_to_g1_83",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000116988a869cf552b2440e16569d8b6e30c6b15430855c4d6bbf80683c5497291bac7999c1f8f08f494fcb4a989451c3b",
+    "Expected": "0000000000000000000000000000000015d065191ab63df2175f821cf62a4b948a6b2389512c7e94e1fa3c99506af624810ee17de2c183ebd69b4dc485ae264b000000000000000000000000000000000fa8cfd94bbfa6d504497866c1e0d9e84717fbf0468a164e3b8ca46348789e2b7f08ac5e8aa2e7205062f3d5083dc5fa",
+    "Name": "matter_fp_to_g1_84",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000e26058d72875fd3d852aa4139f71d35e1edb58242a4939da7986645117d027d20baf85770fc909d537524244da59ce7",
+    "Expected": "0000000000000000000000000000000012978a0da7162aa1e8b32cb6ec0eebf2c2e62350cab4534358c6bf80299dda9281e16ee40313e7c52c804b2f4de7f1870000000000000000000000000000000009dfbafc8e40d71a789a52d5f8b80e7c8510c58bc0774cfa84211a9c1417d75d5c7b06d7aa9fe052ad9c1f30c922705e",
+    "Name": "matter_fp_to_g1_85",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000de98869442b759a382d0f6ca45eb60424eb9aee2efdac83086cb6dd374120941343eb314756113e084f943cb60d91470000000000000000000000000000000019dacc8180e6dd09ac4bb97114d2ecadb04bd2aef6e5f0993742c5270267e42d052d436c99ba61f6c0fd1fd2cd51d172",
+    "Name": "matter_fp_to_g1_86",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000123313e3cc006c4b95938f5eca903604ac9272c7a0c79cd932407b70635d7ca5de9297496c27406f180d5edebbb54c7e0000000000000000000000000000000002164460e59cc8788c96e235a6faa7fadb7e6ee9f6b0b95292992973ff54a92147dc7ae8e8f217515b6185875bd0bd7d",
+    "Name": "matter_fp_to_g1_87",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000393a1b2395447b2e2838c2f49493c185424c4848f888616f16a95552671ff28b5ef223bf34299005f22a8df6efd68290000000000000000000000000000000012b1fe46279922e92d356355752ae0c2f28fc55de39ebfbd317a6c1c507d973f88c6282468571a1efc20c10314ac72f3",
+    "Name": "matter_fp_to_g1_88",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000739f563b42648cde5befaf44317468982eb9d2fceee7d2efff1755be973cfc2beda829268246d09cd29fc3aa91f0b8a0000000000000000000000000000000014fe0b03ac5e0e03acd7811270d65742a3345bed7a4790d5f40097dd34050d0043104b65fd4691c251f03e67525d41b5",
+    "Name": "matter_fp_to_g1_89",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000128e92c9c10fb9b065fe2c2dcfe365e98aa54eaeb3fae987306c7f0a227171ae0b3464d01a54a8d6b144ff60c45088a00000000000000000000000000000000001beaace4e23c9a31e1e9eb8596b3b05b9d72553f44c61627654757080171b05c900fe1b638193a69058e8d66cff1aa6",
+    "Name": "matter_fp_to_g1_90",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a6099ebb3a1101206bbd21149cf22af2371106bd34671c1cbd4f2e19311fd100bcb56a6d9d77bd834f972e55e0fb75e0000000000000000000000000000000001db77a2045e54b0ac4b3d61190684b4eec9c4ea415e5c820992b70d6ee2e086c02892228c4465c8494f939cc0b7b5ee",
+    "Name": "matter_fp_to_g1_91",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000044612b42a2baa9d3e1d187b2a4e048773b4851bbd7d4025e0f7f61abee703b5a563397da4515c7379397dcde698228a",
+    "Expected": "000000000000000000000000000000001101cd37b61247a9859bb09ccf9eb416643f86b7109bb45d6827fbf424956c9a16b2a19c5e198551c43aa1934ad8ed0e000000000000000000000000000000000da562fcb2e3cba853de6d245a1ea0cfc3ac120b316a5f4f7072cc35a6634027409ad08c5d591a6688b24cdc4562cddb",
+    "Name": "matter_fp_to_g1_92",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000323c3aa4b20691af32696c449668fb6da6a0c2e8eb176fb8fcd8aeebc9b5a3bffc57b28dd35e374811d420419fb0fd30000000000000000000000000000000019516a092385d8c917b46a742f086c51e2648c7e9a709ebeb5a0f8bc29c9aabf99972aa3a218582f37d91f9758a5ddb2",
+    "Name": "matter_fp_to_g1_93",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000013da827dd718d3736cfcec53f034d34bce253bc91f7cfd6cd2666819bdebbfc43a9363f82bf4b580a7739b5dda9c9436",
+    "Expected": "000000000000000000000000000000000d0351d8557d21c2dd3b1be77bb01df804ebb9e2d7e80910264ff94861cdc0a4deedc1231c61b7503c5d653e31fe10850000000000000000000000000000000005858ee487860d1ba04cfdcedebda235616c2d271ed50f89d6cf2852ea7e10ac825dacd8b00071684858a12459d1705c",
+    "Name": "matter_fp_to_g1_94",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000176c50c2fcf1bcbe03a1a1ed2eb120f94ad4fcea34a59607ea595bc2b37cb92f87641191b65d4b5d57f5491ce6576a670000000000000000000000000000000000e177361e09975c98849faf8e24086f75a48df0f257ea47b659cc2a142a57ad1f64416f6dee5cbc4e57f780dadd1cf2",
+    "Name": "matter_fp_to_g1_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000010416da7cfbed2768c77b80957053030d49d535b21a8a3297ab257dee0463c91b87a9e571b86bd874522149d9af0c29",
+    "Expected": "000000000000000000000000000000000dcce000aae744f8b3b6754af57a36786d887d7f9857654f93edbcb6c4416ccfea5e859acc82860b5f706087e87cdc07000000000000000000000000000000001847c32c839668a38669fdbabb512df15cde2b28ca336b0e158d1fd57f74638d86ba40ff68f0a50cead7021e86c5271d",
+    "Name": "matter_fp_to_g1_96",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "00000000000000000000000000000000062a58846d39dd1fdbd34a7117797f2200d814b2a8eac9479885762565a979e93b5313575bff5ada3211eeed0a3f4ddc000000000000000000000000000000000548a24e7af2b38c4d16d8dfc8fb2d7e7669051e2643c44aee113f20d31f4853cef84e2dec20095c273680cca278331c",
+    "Name": "matter_fp_to_g1_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000025f1ac90f5b0748d57d8f7a928be875c5712801f70af0d057546228c1bf83d3a207884c0d66d0b5dbcaa736bfe0aa1",
+    "Expected": "00000000000000000000000000000000107f01e4fb6430e34128e3335872cf40df2b498a63e048d46158190cb627e37833d2238dd72681037ce376384736b43e0000000000000000000000000000000000e1812299403efe0f8d111d97a4b7e7b8aa1f4ec58f9935b1367d81a847fb42cf756154448f9172118123679a41a280",
+    "Name": "matter_fp_to_g1_98",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000017f66b472b36717ee0902d685c808bb5f190bbcb2c51d067f1cbec64669f10199a5868d7181dcec0498fcc71f5acaf79",
+    "Expected": "00000000000000000000000000000000188dc9e5ddf48977f33aeb6e505518269bf67fb624fa86b79741d842e75a6fa1be0911c2caa9e55571b6e55a3c0c0b9e00000000000000000000000000000000193e8b7c7e78daf104a59d7b39401a65355fa874bd34e91688580941e99a863367efc68fe871e38e07423090e93919c9",
+    "Name": "matter_fp_to_g1_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/blsMapG2.json

@@ -0,0 +1,602 @@
+[
+  {
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+    "Expected": "000000000000000000000000000000000d029393d3a13ff5b26fe52bd8953768946c5510f9441f1136f1e938957882db6adbd7504177ee49281ecccba596f2bf000000000000000000000000000000001993f668fb1ae603aefbb1323000033fcb3b65d8ed3bf09c84c61e27704b745f540299a1872cd697ae45a5afd780f1d600000000000000000000000000000000079cb41060ef7a128d286c9ef8638689a49ca19da8672ea5c47b6ba6dbde193ee835d3b87a76a689966037c07159c10d0000000000000000000000000000000017c688ae9a8b59a7069c27f2d58dd2196cb414f4fb89da8510518a1142ab19d158badd1c3bad03408fafb1669903cd6c",
+    "Name": "matter_fp2_to_g2_0",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000a2bca68ca23f3f03c678140d87465b5b336dbd50926d1219fcc0def162280765fe1093c117d52483d3d8cdc7ab76529000000000000000000000000000000000fe83e3a958d6038569da6132bfa19f0e3dae3bee0d8a60e7cc33e4d7084a9e8c32fe31ec6e617277e2e450699eba1f80000000000000000000000000000000005602683f0ef231cc0b7c8c695765d7933f4efa7503ed9f2aa3c774284eabcdd32fd287b6a3539c9749f2e15b58f5cd50000000000000000000000000000000000b4f17de0db6e9d081723b613b23864c1eeae91b7cbda40ecd24823022aee7fc4068adc41947b97e17009fad9d0d4de",
+    "Name": "matter_fp2_to_g2_1",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_2",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_3",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_4",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_5",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_6",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_7",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_8",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_9",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_10",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_11",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_12",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_13",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_14",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000994e7b6ccafc996f672c42ab491105ffe1482e65aeb456de2213b531889773ad4d5e6ea1687d6a1f13e74878766f11e000000000000000000000000000000000b89030486a1d622c97970ee7da6189ac341b9cafbb4081463f579ab8b4b049c6e6c8b63157455770a79108424a14f24000000000000000000000000000000000ded43800a991f8c37282d803a39941d3bfbfbdc56dbf7500ef3d16750b27dcb1ad93f89714395fd3dffe318c1771375000000000000000000000000000000001994144b032e1f8c4d688754eef82cdba0018ac47030fcb77e8fd920e0b0336255d2cc8376c03e1074f91269cd2519d1",
+    "Name": "matter_fp2_to_g2_15",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_16",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_17",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_18",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_19",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000010d393bf893d589c578df58f4d0098ad3cd10d3a1d0f112f51b132a369e68c0284a6b70a5673383ae24a27a9043b16cf0000000000000000000000000000000003402afb77b187b45906d9cce348976ed88c758d75b9962a53352a6c3ee37751a9928097c0d68c6f8a315def4ca875200000000000000000000000000000000019b98631e53a3ffda3fb9165ef7236dad5c0c8d57c3315617cbd3ce77430bd89b9e1d88a019042cae0075594514a5e67000000000000000000000000000000001783bf1c9b0ec44c9191dab01ef5bda0cb2f533dbcd3aeac2b7c6720dbc8e3f770a215ec8ea2035129711ce4b448ba87",
+    "Name": "matter_fp2_to_g2_20",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_21",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_22",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_23",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_24",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_25",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_26",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_27",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_28",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_29",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_30",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_31",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_32",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_33",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_34",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_35",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_36",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000000ac465de3832452edcead434729be73be90785158617b5ec3ad53b12653e43721eda7de6742dc51d4d4bb58a291999f00000000000000000000000000000000147c39a5c162afa1f8eef400cfa1bdbe5436bc59d93973f50384022962f828ac934a4f88ab7c3d505b0bc3bb002f5efe00000000000000000000000000000000141bcdad53845a7eb2ec08189a55445059dad24ae5d39fedce869791aa28459f05a6cdf9575676cc6f3dd7d6faf077240000000000000000000000000000000010e9f539a9ced860661472f53147d0347927f065ec09bc32e00c5bc157b07f8b41b05aa4e0eedd1f73c7a287b2d0e5ab",
+    "Name": "matter_fp2_to_g2_37",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_38",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000000df692ca763a74877352af3609c8cdbc184eb71bd35fd86334cb88543637b40b3adbb5802dcd7b88f4d722b566aba7700000000000000000000000000000000181495e709d1617f2d912f43487ad3920ac5f8e47395ec4b58bcf0b2d986c674a0c7838830a039bfb5bb59cd2fee2f5c000000000000000000000000000000000d20b482dd8aad583bd5d08ba9c61b3e954f022d48f9f4f62ddc9f5015ac71dab7d206b1d8b885d5e605519bd33d93a20000000000000000000000000000000010d3deccb9364ee386eb35c7117bab373a76d024627b8a031f96465d5f75b029fa992e29ad4a170c4473cd1df585429b",
+    "Name": "matter_fp2_to_g2_39",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_40",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_41",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_42",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "000000000000000000000000000000000d4d78f992f12aefb0e3a6b18fbe2411108327a9befe4a822618fecca4def3169972b4f1fb254cc4656a676529d554ad00000000000000000000000000000000145ef33250240a5c9434d4b2cf2404d9e7cc51b55e482ebc6a8aed85caa21ed00623b3cb2d76ce2d96b2f346d395dfc40000000000000000000000000000000011af2ee2514c58078da335c0273cd18b98d1ac6f0e67890677403f71b0e06863fc72611c0cfba39ac894ae500edbdbae00000000000000000000000000000000186863e7c24cbeb45f7a66b5dddc9b57c7e22c5139aa6bdb82e77cd8182bb8d2fb7bddd7d3516b5422f92e08d02606b5",
+    "Name": "matter_fp2_to_g2_43",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_44",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_45",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_46",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_47",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "0000000000000000000000000000000014be96cfc0dbe09155ac8d8233b71ed584153e279b2b2be88471eb653aa4913fd2c33947547c61f7fd8bedbb552a8b1b00000000000000000000000000000000146b9a0011260e2646920894cf405bdebb101db12da7849b30868655fb5f972113cdf2fc322cc246d3dbd9f20b98fe2f00000000000000000000000000000000104bc20e104da5173dcff3e195f80960819a0d64e922bb484c2739c4b7c22535f7faeb1c85188aa853277740b389eac90000000000000000000000000000000019f5aec599f9ec286aefe48eedca3f929ac6c758c231182b92dc965d6ac1f3db53d93f57d733ca8425a5dde070b0dfa8",
+    "Name": "matter_fp2_to_g2_48",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_49",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_50",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_51",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_52",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_53",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_54",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_55",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000b37365748fdb21fcb46f94edf86c586f17d0e042c4683e68c6cb83e7c0ed2c30ed260c15af2c9dce77bb705debfa7590000000000000000000000000000000010d7c02c6c1ba3cf6ac09a05dfe043905e1a7eb32b67f2e8a5dfe82eaca66ef46cce43aaadeff58ca85345dd0d3bf3cb",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_56",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_57",
+    "NoBenchmark": false
+  },
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+    "NoBenchmark": false
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+    "Name": "matter_fp2_to_g2_62",
+    "NoBenchmark": false
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+    "Name": "matter_fp2_to_g2_63",
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+    "Name": "matter_fp2_to_g2_64",
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_65",
+    "NoBenchmark": false
+  },
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+    "Name": "matter_fp2_to_g2_66",
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+    "Expected": "000000000000000000000000000000000a0cc3e328b4cfd01afe53dbf971ad78fc74d951050d76210e4c84438109622f0531747e762e185e3d7ecb9faa7c3255000000000000000000000000000000000622ad6092caa727d069b8921f4124d5996f3019705a908ef95d23092c5bb148873a22c227aa25ebee361d4184cc38a10000000000000000000000000000000002938d2ff50cffaab8c056c2844c50013f5bcdbb4f91b3f823836edabb39ba17ed1b8b5862301efad04bd2f5d5bf599b00000000000000000000000000000000072e96136afebbf8c06a37cf9b20c85ef8cb3f7f99d5c71b05a187c193711e5b76f52863c7ef080a1b64b2120ab2ed84",
+    "Name": "matter_fp2_to_g2_67",
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_68",
+    "NoBenchmark": false
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+    "Name": "matter_fp2_to_g2_69",
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+    "Name": "matter_fp2_to_g2_70",
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+    "Name": "matter_fp2_to_g2_71",
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_72",
+    "NoBenchmark": false
+  },
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+    "Expected": "00000000000000000000000000000000095cd509e53f10b1ee18b2120e2d18f0905a202a992a9c62480beb6588275fc8b5b151e6abf17a12b6d9cd03a8b37a59000000000000000000000000000000001723bf1a3d79935eb4b39f7feaa1e05cd8f3e7a32e2c406625053d8d8fde33eefec231ee00adb00b0acac16a83dc77fb0000000000000000000000000000000004af528e886dad3f9fa7232605936bc22a6a22622828367791920ec9d31cdb2f290e37f5fc79efaeaf96c86b3f6e39220000000000000000000000000000000015bada14a84fdb09b77397cd2e27836f9f88854924af0cafc6f9125d32be848c8325a3eee1a26de8be8eb80b601f1ad5",
+    "Name": "matter_fp2_to_g2_73",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_74",
+    "NoBenchmark": false
+  },
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_75",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_76",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_77",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_78",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_79",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_80",
+    "NoBenchmark": false
+  },
+  {
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+    "Name": "matter_fp2_to_g2_81",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_82",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_83",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_84",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_85",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_86",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_87",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_88",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_89",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_90",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_91",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_92",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_93",
+    "NoBenchmark": false
+  },
+  {
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+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_94",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000014df33e7d3ef2c339b958fee667097ccf146556261f7db4b0b0a3c29897b73a0ca249866cff1461488012bc16df43b0d00000000000000000000000000000000099dda253a43b8cfac580306267d9dfeb2c129ac1818fee43c6df5e582f5fa726ba73e1a2ef6a9e011a387c393529678",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_95",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000011c89c8d7e83155a308b2e517a23f05a4a55353332292b44b0a891b6f730fd126bd0b97eb87f0fbdb6c82779791d022f000000000000000000000000000000000da6f02450955bf26e236ec63aaf80a018ac34fd8784bb24a22a1fc5e8bd686244a923009a10cb38b1422534d0997afd",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_96",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000015bb227b5c9ccfb8390edcd158b04a69a88a3b99a10ae90e548182751a16448df25493061afde2c9790a0e75e6f409a20000000000000000000000000000000001d7b609155bf3939192eee9642032e6fb10f57d53916674c60211a37b4a7662759899a9569e2dc730febd23f747a7a3",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_97",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000017599d71686e817cf58b78dd7586d5b359999b32b0dec2d67e33fb6388411418ecfaa2670a2cc9dce3dadaed0fb3364000000000000000000000000000000001773995b540be9ffbfd276a92c0494e4eae296d094f9f7eca975cf4f73ae05e92bd64ea71ac47bba534044f4072a6591",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_98",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000f470603a402bc134db1b389fd187460f9eb2dd001a2e99f730af386508c62f0e911d831a2562da84bce11d39f2ff13f000000000000000000000000000000000d8c45f4ab20642d0cba9764126e0818b7d731a6ba29ed234d9d6309a5e8ddfbd85193f1fa8b7cfeed3d31b23b904ee9",
+    "Expected": "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",
+    "Name": "matter_fp2_to_g2_99",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/bn256Add.json

@@ -0,0 +1,98 @@
+[
+  {
+    "Input": "18b18acfb4c2c30276db5411368e7185b311dd124691610c5d3b74034e093dc9063c909c4720840cb5134cb9f59fa749755796819658d32efc0d288198f3726607c2b7f58a84bd6145f00c9c2bc0bb1a187f20ff2c92963a88019e7c6a014eed06614e20c147e940f2d70da3f74c9a17df361706a4485c742bd6788478fa17d7",
+    "Expected": "2243525c5efd4b9c3d3c45ac0ca3fe4dd85e830a4ce6b65fa1eeaee202839703301d1d33be6da8e509df21cc35964723180eed7532537db9ae5e7d48f195c915",
+    "Name": "chfast1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "2243525c5efd4b9c3d3c45ac0ca3fe4dd85e830a4ce6b65fa1eeaee202839703301d1d33be6da8e509df21cc35964723180eed7532537db9ae5e7d48f195c91518b18acfb4c2c30276db5411368e7185b311dd124691610c5d3b74034e093dc9063c909c4720840cb5134cb9f59fa749755796819658d32efc0d288198f37266",
+    "Expected": "2bd3e6d0f3b142924f5ca7b49ce5b9d54c4703d7ae5648e61d02268b1a0a9fb721611ce0a6af85915e2f1d70300909ce2e49dfad4a4619c8390cae66cefdb204",
+    "Name": "chfast2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio3",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio4",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio5",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Name": "cdetrio6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Name": "cdetrio7",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Name": "cdetrio8",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Name": "cdetrio9",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Name": "cdetrio10",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000002",
+    "Expected": "030644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd315ed738c0e0a7c92e7845f96b2ae9c0a68a6a449e3538fc7ff3ebf7a5a18a2c4",
+    "Name": "cdetrio11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000020000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "030644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd315ed738c0e0a7c92e7845f96b2ae9c0a68a6a449e3538fc7ff3ebf7a5a18a2c4",
+    "Name": "cdetrio12",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d98",
+    "Expected": "15bf2bb17880144b5d1cd2b1f46eff9d617bffd1ca57c37fb5a49bd84e53cf66049c797f9ce0d17083deb32b5e36f2ea2a212ee036598dd7624c168993d1355f",
+    "Name": "cdetrio13",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa92e83f8d734803fc370eba25ed1f6b8768bd6d83887b87165fc2434fe11a830cb00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Expected": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "Name": "cdetrio14",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/bn256ScalarMul.json

@@ -0,0 +1,110 @@
+[
+  {
+    "Input": "2bd3e6d0f3b142924f5ca7b49ce5b9d54c4703d7ae5648e61d02268b1a0a9fb721611ce0a6af85915e2f1d70300909ce2e49dfad4a4619c8390cae66cefdb20400000000000000000000000000000000000000000000000011138ce750fa15c2",
+    "Expected": "070a8d6a982153cae4be29d434e8faef8a47b274a053f5a4ee2a6c9c13c31e5c031b8ce914eba3a9ffb989f9cdd5b0f01943074bf4f0f315690ec3cec6981afc",
+    "Name": "chfast1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "070a8d6a982153cae4be29d434e8faef8a47b274a053f5a4ee2a6c9c13c31e5c031b8ce914eba3a9ffb989f9cdd5b0f01943074bf4f0f315690ec3cec6981afc30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd46",
+    "Expected": "025a6f4181d2b4ea8b724290ffb40156eb0adb514c688556eb79cdea0752c2bb2eff3f31dea215f1eb86023a133a996eb6300b44da664d64251d05381bb8a02e",
+    "Name": "chfast2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "025a6f4181d2b4ea8b724290ffb40156eb0adb514c688556eb79cdea0752c2bb2eff3f31dea215f1eb86023a133a996eb6300b44da664d64251d05381bb8a02e183227397098d014dc2822db40c0ac2ecbc0b548b438e5469e10460b6c3e7ea3",
+    "Expected": "14789d0d4a730b354403b5fac948113739e276c23e0258d8596ee72f9cd9d3230af18a63153e0ec25ff9f2951dd3fa90ed0197bfef6e2a1a62b5095b9d2b4a27",
+    "Name": "chfast3",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "Expected": "2cde5879ba6f13c0b5aa4ef627f159a3347df9722efce88a9afbb20b763b4c411aa7e43076f6aee272755a7f9b84832e71559ba0d2e0b17d5f9f01755e5b0d11",
+    "Name": "cdetrio1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f630644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000",
+    "Expected": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe3163511ddc1c3f25d396745388200081287b3fd1472d8339d5fecb2eae0830451",
+    "Name": "cdetrio2",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f60000000000000000000000000000000100000000000000000000000000000000",
+    "Expected": "1051acb0700ec6d42a88215852d582efbaef31529b6fcbc3277b5c1b300f5cf0135b2394bb45ab04b8bd7611bd2dfe1de6a4e6e2ccea1ea1955f577cd66af85b",
+    "Name": "cdetrio3",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f60000000000000000000000000000000000000000000000000000000000000009",
+    "Expected": "1dbad7d39dbc56379f78fac1bca147dc8e66de1b9d183c7b167351bfe0aeab742cd757d51289cd8dbd0acf9e673ad67d0f0a89f912af47ed1be53664f5692575",
+    "Name": "cdetrio4",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f60000000000000000000000000000000000000000000000000000000000000001",
+    "Expected": "1a87b0584ce92f4593d161480614f2989035225609f08058ccfa3d0f940febe31a2f3c951f6dadcc7ee9007dff81504b0fcd6d7cf59996efdc33d92bf7f9f8f6",
+    "Name": "cdetrio5",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7cffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "Expected": "29e587aadd7c06722aabba753017c093f70ba7eb1f1c0104ec0564e7e3e21f6022b1143f6a41008e7755c71c3d00b6b915d386de21783ef590486d8afa8453b1",
+    "Name": "cdetrio6",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000",
+    "Expected": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa92e83f8d734803fc370eba25ed1f6b8768bd6d83887b87165fc2434fe11a830cb",
+    "Name": "cdetrio7",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c0000000000000000000000000000000100000000000000000000000000000000",
+    "Expected": "221a3577763877920d0d14a91cd59b9479f83b87a653bb41f82a3f6f120cea7c2752c7f64cdd7f0e494bff7b60419f242210f2026ed2ec70f89f78a4c56a1f15",
+    "Name": "cdetrio8",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c0000000000000000000000000000000000000000000000000000000000000009",
+    "Expected": "228e687a379ba154554040f8821f4e41ee2be287c201aa9c3bc02c9dd12f1e691e0fd6ee672d04cfd924ed8fdc7ba5f2d06c53c1edc30f65f2af5a5b97f0a76a",
+    "Name": "cdetrio9",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c0000000000000000000000000000000000000000000000000000000000000001",
+    "Expected": "17c139df0efee0f766bc0204762b774362e4ded88953a39ce849a8a7fa163fa901e0559bacb160664764a357af8a9fe70baa9258e0b959273ffc5718c6d4cc7c",
+    "Name": "cdetrio10",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d98ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
+    "Expected": "00a1a234d08efaa2616607e31eca1980128b00b415c845ff25bba3afcb81dc00242077290ed33906aeb8e42fd98c41bcb9057ba03421af3f2d08cfc441186024",
+    "Name": "cdetrio11",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d9830644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000000",
+    "Expected": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b8692929ee761a352600f54921df9bf472e66217e7bb0cee9032e00acc86b3c8bfaf",
+    "Name": "cdetrio12",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d980000000000000000000000000000000100000000000000000000000000000000",
+    "Expected": "1071b63011e8c222c5a771dfa03c2e11aac9666dd097f2c620852c3951a4376a2f46fe2f73e1cf310a168d56baa5575a8319389d7bfa6b29ee2d908305791434",
+    "Name": "cdetrio13",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d980000000000000000000000000000000000000000000000000000000000000009",
+    "Expected": "19f75b9dd68c080a688774a6213f131e3052bd353a304a189d7a2ee367e3c2582612f545fb9fc89fde80fd81c68fc7dcb27fea5fc124eeda69433cf5c46d2d7f",
+    "Name": "cdetrio14",
+    "NoBenchmark": true
+  },
+  {
+    "Input": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d980000000000000000000000000000000000000000000000000000000000000001",
+    "Expected": "039730ea8dff1254c0fee9c0ea777d29a9c710b7e616683f194f18c43b43b869073a5ffcc6fc7a28c30723d6e58ce577356982d65b833a5a5c15bf9024b43d98",
+    "Name": "cdetrio15",
+    "NoBenchmark": true
+  }
+]

core/vm/testdata/precompiles/ecRecover.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "a8b53bdf3306a35a7103ab5504a0c9b492295564b6202b1942a84ef300107281000000000000000000000000000000000000000000000000000000000000001b307835653165303366353363653138623737326363623030393366663731663366353366356337356237346463623331613835616138623838393262346538621122334455667788991011121314151617181920212223242526272829303132",
+    "Expected": "",
+    "Name": "CallEcrecoverUnrecoverableKey",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "18c547e4f7b0f325ad1e56f57e26c745b09a3e503d86e00e5255ff7f715d3d1c000000000000000000000000000000000000000000000000000000000000001c73b1693892219d736caba55bdb67216e485557ea6b6af75f37096c9aa6a5a75feeb940b1d03b21e36b0e47e79769f095fe2ab855bd91e3a38756b7d75a9c4549",
+    "Expected": "000000000000000000000000a94f5374fce5edbc8e2a8697c15331677e6ebf0b",
+    "Name": "ValidKey",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "18c547e4f7b0f325ad1e56f57e26c745b09a3e503d86e00e5255ff7f715d3d1c100000000000000000000000000000000000000000000000000000000000001c73b1693892219d736caba55bdb67216e485557ea6b6af75f37096c9aa6a5a75feeb940b1d03b21e36b0e47e79769f095fe2ab855bd91e3a38756b7d75a9c4549",
+    "Expected": "",
+    "Name": "InvalidHighV-bits-1",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "18c547e4f7b0f325ad1e56f57e26c745b09a3e503d86e00e5255ff7f715d3d1c000000000000000000000000000000000000001000000000000000000000001c73b1693892219d736caba55bdb67216e485557ea6b6af75f37096c9aa6a5a75feeb940b1d03b21e36b0e47e79769f095fe2ab855bd91e3a38756b7d75a9c4549",
+    "Expected": "",
+    "Name": "InvalidHighV-bits-2",
+    "NoBenchmark": false
+  },
+  {
+    "Input": "18c547e4f7b0f325ad1e56f57e26c745b09a3e503d86e00e5255ff7f715d3d1c000000000000000000000000000000000000001000000000000000000000011c73b1693892219d736caba55bdb67216e485557ea6b6af75f37096c9aa6a5a75feeb940b1d03b21e36b0e47e79769f095fe2ab855bd91e3a38756b7d75a9c4549",
+    "Expected": "",
+    "Name": "InvalidHighV-bits-3",
+    "NoBenchmark": false
+  }
+]

core/vm/testdata/precompiles/fail-blake2f.json

@@ -0,0 +1,22 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "vector 0: empty input"
+  },
+  {
+    "Input": "00000c48c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "ExpectedError": "invalid input length",
+    "Name": "vector 1: less than 213 bytes input"
+  },
+  {
+    "Input": "000000000c48c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000001",
+    "ExpectedError": "invalid input length",
+    "Name": "vector 2: more than 213 bytes input"
+  },
+  {
+    "Input": "0000000c48c9bdf267e6096a3ba7ca8485ae67bb2bf894fe72f36e3cf1361d5f3af54fa5d182e6ad7f520e511f6c3e2b8c68059b6bbd41fbabd9831f79217e1319cde05b61626300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000002",
+    "ExpectedError": "invalid final flag",
+    "Name": "vector 3: malformed final block indicator flag"
+  }
+]

core/vm/testdata/precompiles/fail-blsG1Add.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1add_empty_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1add_short_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1add_large_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g1add_violate_top_bytes"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g1add_invalid_field_element"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g1add_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsG1Mul.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1mul_empty_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb00000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1mul_short_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1mul_large_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000108b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g1mul_violate_top_bytes"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g1mul_invalid_field_element"
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g1mul_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsG1MultiExp.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1multiexp_empty_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb00000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1multiexp_short_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g1multiexp_large_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac0000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g1multiexp_invalid_field_element"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000108b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e10000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g1multiexp_violate_top_bytes"
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g1multiexp_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsG2Add.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2add_empty_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2add_short_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2add_large_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g2add_violate_top_bytes"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g2add_invalid_field_element"
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801000000000000000000000000000000000606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g2add_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsG2Mul.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2mul_empty_input"
+  },
+  {
+    "Input": "00000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b828010000000000000000000000000000000606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be0000000000000000000000000000000000000000000000000000000000000007",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2mul_short_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2mul_large_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g2mul_violate_top_bytes"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g2mul_invalid_field_element"
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g2mul_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsG2MultiExp.json

@@ -0,0 +1,32 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2multiexp_empty_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2multiexp_short_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_g2multiexp_large_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_g2multiexp_violate_top_bytes"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_g2multiexp_invalid_field_element"
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_g2multiexp_point_not_on_curve"
+  }
+]

core/vm/testdata/precompiles/fail-blsMapG1.json

@@ -0,0 +1,22 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_mapg1_empty_input"
+  },
+  {
+    "Input": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_mapg1_short_input"
+  },
+  {
+    "Input": "00000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_mapg1_top_bytes"
+  },
+  {
+    "Input": "000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_mapg1_invalid_fq_element"
+  }
+]

core/vm/testdata/precompiles/fail-blsMapG2.json

@@ -0,0 +1,22 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_mapg2_empty_input"
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_mapg2_short_input"
+  },
+  {
+    "Input": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_mapg2_top_bytes"
+  },
+  {
+    "Input": "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaac",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_mapg2_invalid_fq_element"
+  }
+]

core/vm/testdata/precompiles/fail-blsPairing.json

@@ -0,0 +1,42 @@
+[
+  {
+    "Input": "",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_pairing_empty_input"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid input length",
+    "Name": "bls_pairing_extra_data"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "must be less than modulus",
+    "Name": "bls_pairing_invalid_field_element"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "invalid field element top bytes",
+    "Name": "bls_pairing_top_bytes"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_pairing_g1_not_on_curve"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "point is not on curve",
+    "Name": "bls_pairing_g2_not_on_curve"
+  },
+  {
+    "Input": "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",
+    "ExpectedError": "g1 point is not on correct subgroup",
+    "Name": "bls_pairing_g1_not_in_correct_subgroup"
+  },
+  {
+    "Input": "0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e100000000000000000000000000000000024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb80000000000000000000000000000000013e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e000000000000000000000000000000000ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801000000000000000000000000000000000606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be0000000000000000000000000000000017f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb0000000000000000000000000000000008b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000013a59858b6809fca4d9a3b6539246a70051a3c88899964a42bc9a69cf9acdd9dd387cfa9086b894185b9a46a402be730000000000000000000000000000000002d27e0ec3356299a346a09ad7dc4ef68a483c3aed53f9139d2f929a3eecebf72082e5e58c6da24ee32e03040c406d4f",
+    "ExpectedError": "g2 point is not on correct subgroup",
+    "Name": "bls_pairing_g2_not_in_correct_subgroup"
+  }
+]

crypto/bls12381/arithmetic_decl.go

@@ -0,0 +1,83 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+// +build amd64,blsasm amd64,blsadx
+
+package bls12381
+
+import (
+	"golang.org/x/sys/cpu"
+)
+
+func init() {
+	if !enableADX || !cpu.X86.HasADX || !cpu.X86.HasBMI2 {
+		mul = mulNoADX
+	}
+}
+
+// Use ADX backend for default
+var mul func(c, a, b *fe) = mulADX
+
+func square(c, a *fe) {
+	mul(c, a, a)
+}
+
+func neg(c, a *fe) {
+	if a.isZero() {
+		c.set(a)
+	} else {
+		_neg(c, a)
+	}
+}
+
+//go:noescape
+func add(c, a, b *fe)
+
+//go:noescape
+func addAssign(a, b *fe)
+
+//go:noescape
+func ladd(c, a, b *fe)
+
+//go:noescape
+func laddAssign(a, b *fe)
+
+//go:noescape
+func double(c, a *fe)
+
+//go:noescape
+func doubleAssign(a *fe)
+
+//go:noescape
+func ldouble(c, a *fe)
+
+//go:noescape
+func sub(c, a, b *fe)
+
+//go:noescape
+func subAssign(a, b *fe)
+
+//go:noescape
+func lsubAssign(a, b *fe)
+
+//go:noescape
+func _neg(c, a *fe)
+
+//go:noescape
+func mulNoADX(c, a, b *fe)
+
+//go:noescape
+func mulADX(c, a, b *fe)

crypto/bls12381/arithmetic_fallback.go

@@ -0,0 +1,566 @@
+// Native go field arithmetic code is generated with 'goff'
+// https://github.com/ConsenSys/goff
+// Many function signature of field operations are renamed.
+
+// Copyright 2020 ConsenSys AG
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// field modulus q =
+//
+// 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787
+// Code generated by goff DO NOT EDIT
+// goff version: v0.1.0 - build: 790f1f56eac432441e043abff8819eacddd1d668
+// fe are assumed to be in Montgomery form in all methods
+
+// /!\ WARNING /!\
+// this code has not been audited and is provided as-is. In particular,
+// there is no security guarantees such as constant time implementation
+// or side-channel attack resistance
+// /!\ WARNING /!\
+
+// Package bls (generated by goff) contains field arithmetics operations
+
+// +build !amd64 !blsasm,!blsadx
+
+package bls12381
+
+import (
+	"math/bits"
+)
+
+func add(z, x, y *fe) {
+	var carry uint64
+
+	z[0], carry = bits.Add64(x[0], y[0], 0)
+	z[1], carry = bits.Add64(x[1], y[1], carry)
+	z[2], carry = bits.Add64(x[2], y[2], carry)
+	z[3], carry = bits.Add64(x[3], y[3], carry)
+	z[4], carry = bits.Add64(x[4], y[4], carry)
+	z[5], _ = bits.Add64(x[5], y[5], carry)
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		z[0], b = bits.Sub64(z[0], 13402431016077863595, 0)
+		z[1], b = bits.Sub64(z[1], 2210141511517208575, b)
+		z[2], b = bits.Sub64(z[2], 7435674573564081700, b)
+		z[3], b = bits.Sub64(z[3], 7239337960414712511, b)
+		z[4], b = bits.Sub64(z[4], 5412103778470702295, b)
+		z[5], _ = bits.Sub64(z[5], 1873798617647539866, b)
+	}
+}
+
+func addAssign(x, y *fe) {
+	var carry uint64
+
+	x[0], carry = bits.Add64(x[0], y[0], 0)
+	x[1], carry = bits.Add64(x[1], y[1], carry)
+	x[2], carry = bits.Add64(x[2], y[2], carry)
+	x[3], carry = bits.Add64(x[3], y[3], carry)
+	x[4], carry = bits.Add64(x[4], y[4], carry)
+	x[5], _ = bits.Add64(x[5], y[5], carry)
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(x[5] < 1873798617647539866 || (x[5] == 1873798617647539866 && (x[4] < 5412103778470702295 || (x[4] == 5412103778470702295 && (x[3] < 7239337960414712511 || (x[3] == 7239337960414712511 && (x[2] < 7435674573564081700 || (x[2] == 7435674573564081700 && (x[1] < 2210141511517208575 || (x[1] == 2210141511517208575 && (x[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		x[0], b = bits.Sub64(x[0], 13402431016077863595, 0)
+		x[1], b = bits.Sub64(x[1], 2210141511517208575, b)
+		x[2], b = bits.Sub64(x[2], 7435674573564081700, b)
+		x[3], b = bits.Sub64(x[3], 7239337960414712511, b)
+		x[4], b = bits.Sub64(x[4], 5412103778470702295, b)
+		x[5], _ = bits.Sub64(x[5], 1873798617647539866, b)
+	}
+}
+
+func ladd(z, x, y *fe) {
+	var carry uint64
+	z[0], carry = bits.Add64(x[0], y[0], 0)
+	z[1], carry = bits.Add64(x[1], y[1], carry)
+	z[2], carry = bits.Add64(x[2], y[2], carry)
+	z[3], carry = bits.Add64(x[3], y[3], carry)
+	z[4], carry = bits.Add64(x[4], y[4], carry)
+	z[5], _ = bits.Add64(x[5], y[5], carry)
+}
+
+func laddAssign(x, y *fe) {
+	var carry uint64
+	x[0], carry = bits.Add64(x[0], y[0], 0)
+	x[1], carry = bits.Add64(x[1], y[1], carry)
+	x[2], carry = bits.Add64(x[2], y[2], carry)
+	x[3], carry = bits.Add64(x[3], y[3], carry)
+	x[4], carry = bits.Add64(x[4], y[4], carry)
+	x[5], _ = bits.Add64(x[5], y[5], carry)
+}
+
+func double(z, x *fe) {
+	var carry uint64
+
+	z[0], carry = bits.Add64(x[0], x[0], 0)
+	z[1], carry = bits.Add64(x[1], x[1], carry)
+	z[2], carry = bits.Add64(x[2], x[2], carry)
+	z[3], carry = bits.Add64(x[3], x[3], carry)
+	z[4], carry = bits.Add64(x[4], x[4], carry)
+	z[5], _ = bits.Add64(x[5], x[5], carry)
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		z[0], b = bits.Sub64(z[0], 13402431016077863595, 0)
+		z[1], b = bits.Sub64(z[1], 2210141511517208575, b)
+		z[2], b = bits.Sub64(z[2], 7435674573564081700, b)
+		z[3], b = bits.Sub64(z[3], 7239337960414712511, b)
+		z[4], b = bits.Sub64(z[4], 5412103778470702295, b)
+		z[5], _ = bits.Sub64(z[5], 1873798617647539866, b)
+	}
+}
+
+func doubleAssign(z *fe) {
+	var carry uint64
+
+	z[0], carry = bits.Add64(z[0], z[0], 0)
+	z[1], carry = bits.Add64(z[1], z[1], carry)
+	z[2], carry = bits.Add64(z[2], z[2], carry)
+	z[3], carry = bits.Add64(z[3], z[3], carry)
+	z[4], carry = bits.Add64(z[4], z[4], carry)
+	z[5], _ = bits.Add64(z[5], z[5], carry)
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		z[0], b = bits.Sub64(z[0], 13402431016077863595, 0)
+		z[1], b = bits.Sub64(z[1], 2210141511517208575, b)
+		z[2], b = bits.Sub64(z[2], 7435674573564081700, b)
+		z[3], b = bits.Sub64(z[3], 7239337960414712511, b)
+		z[4], b = bits.Sub64(z[4], 5412103778470702295, b)
+		z[5], _ = bits.Sub64(z[5], 1873798617647539866, b)
+	}
+}
+
+func ldouble(z, x *fe) {
+	var carry uint64
+
+	z[0], carry = bits.Add64(x[0], x[0], 0)
+	z[1], carry = bits.Add64(x[1], x[1], carry)
+	z[2], carry = bits.Add64(x[2], x[2], carry)
+	z[3], carry = bits.Add64(x[3], x[3], carry)
+	z[4], carry = bits.Add64(x[4], x[4], carry)
+	z[5], _ = bits.Add64(x[5], x[5], carry)
+}
+
+func sub(z, x, y *fe) {
+	var b uint64
+	z[0], b = bits.Sub64(x[0], y[0], 0)
+	z[1], b = bits.Sub64(x[1], y[1], b)
+	z[2], b = bits.Sub64(x[2], y[2], b)
+	z[3], b = bits.Sub64(x[3], y[3], b)
+	z[4], b = bits.Sub64(x[4], y[4], b)
+	z[5], b = bits.Sub64(x[5], y[5], b)
+	if b != 0 {
+		var c uint64
+		z[0], c = bits.Add64(z[0], 13402431016077863595, 0)
+		z[1], c = bits.Add64(z[1], 2210141511517208575, c)
+		z[2], c = bits.Add64(z[2], 7435674573564081700, c)
+		z[3], c = bits.Add64(z[3], 7239337960414712511, c)
+		z[4], c = bits.Add64(z[4], 5412103778470702295, c)
+		z[5], _ = bits.Add64(z[5], 1873798617647539866, c)
+	}
+}
+
+func subAssign(z, x *fe) {
+	var b uint64
+	z[0], b = bits.Sub64(z[0], x[0], 0)
+	z[1], b = bits.Sub64(z[1], x[1], b)
+	z[2], b = bits.Sub64(z[2], x[2], b)
+	z[3], b = bits.Sub64(z[3], x[3], b)
+	z[4], b = bits.Sub64(z[4], x[4], b)
+	z[5], b = bits.Sub64(z[5], x[5], b)
+	if b != 0 {
+		var c uint64
+		z[0], c = bits.Add64(z[0], 13402431016077863595, 0)
+		z[1], c = bits.Add64(z[1], 2210141511517208575, c)
+		z[2], c = bits.Add64(z[2], 7435674573564081700, c)
+		z[3], c = bits.Add64(z[3], 7239337960414712511, c)
+		z[4], c = bits.Add64(z[4], 5412103778470702295, c)
+		z[5], _ = bits.Add64(z[5], 1873798617647539866, c)
+	}
+}
+
+func lsubAssign(z, x *fe) {
+	var b uint64
+	z[0], b = bits.Sub64(z[0], x[0], 0)
+	z[1], b = bits.Sub64(z[1], x[1], b)
+	z[2], b = bits.Sub64(z[2], x[2], b)
+	z[3], b = bits.Sub64(z[3], x[3], b)
+	z[4], b = bits.Sub64(z[4], x[4], b)
+	z[5], b = bits.Sub64(z[5], x[5], b)
+}
+
+func neg(z *fe, x *fe) {
+	if x.isZero() {
+		z.zero()
+		return
+	}
+	var borrow uint64
+	z[0], borrow = bits.Sub64(13402431016077863595, x[0], 0)
+	z[1], borrow = bits.Sub64(2210141511517208575, x[1], borrow)
+	z[2], borrow = bits.Sub64(7435674573564081700, x[2], borrow)
+	z[3], borrow = bits.Sub64(7239337960414712511, x[3], borrow)
+	z[4], borrow = bits.Sub64(5412103778470702295, x[4], borrow)
+	z[5], _ = bits.Sub64(1873798617647539866, x[5], borrow)
+}
+
+func mul(z, x, y *fe) {
+	var t [6]uint64
+	var c [3]uint64
+	{
+		// round 0
+		v := x[0]
+		c[1], c[0] = bits.Mul64(v, y[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd1(v, y[1], c[1])
+		c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd1(v, y[2], c[1])
+		c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd1(v, y[3], c[1])
+		c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd1(v, y[4], c[1])
+		c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd1(v, y[5], c[1])
+		t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+	{
+		// round 1
+		v := x[1]
+		c[1], c[0] = madd1(v, y[0], t[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd2(v, y[1], c[1], t[1])
+		c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd2(v, y[2], c[1], t[2])
+		c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd2(v, y[3], c[1], t[3])
+		c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd2(v, y[4], c[1], t[4])
+		c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd2(v, y[5], c[1], t[5])
+		t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+	{
+		// round 2
+		v := x[2]
+		c[1], c[0] = madd1(v, y[0], t[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd2(v, y[1], c[1], t[1])
+		c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd2(v, y[2], c[1], t[2])
+		c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd2(v, y[3], c[1], t[3])
+		c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd2(v, y[4], c[1], t[4])
+		c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd2(v, y[5], c[1], t[5])
+		t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+	{
+		// round 3
+		v := x[3]
+		c[1], c[0] = madd1(v, y[0], t[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd2(v, y[1], c[1], t[1])
+		c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd2(v, y[2], c[1], t[2])
+		c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd2(v, y[3], c[1], t[3])
+		c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd2(v, y[4], c[1], t[4])
+		c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd2(v, y[5], c[1], t[5])
+		t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+	{
+		// round 4
+		v := x[4]
+		c[1], c[0] = madd1(v, y[0], t[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd2(v, y[1], c[1], t[1])
+		c[2], t[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd2(v, y[2], c[1], t[2])
+		c[2], t[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd2(v, y[3], c[1], t[3])
+		c[2], t[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd2(v, y[4], c[1], t[4])
+		c[2], t[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd2(v, y[5], c[1], t[5])
+		t[5], t[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+	{
+		// round 5
+		v := x[5]
+		c[1], c[0] = madd1(v, y[0], t[0])
+		m := c[0] * 9940570264628428797
+		c[2] = madd0(m, 13402431016077863595, c[0])
+		c[1], c[0] = madd2(v, y[1], c[1], t[1])
+		c[2], z[0] = madd2(m, 2210141511517208575, c[2], c[0])
+		c[1], c[0] = madd2(v, y[2], c[1], t[2])
+		c[2], z[1] = madd2(m, 7435674573564081700, c[2], c[0])
+		c[1], c[0] = madd2(v, y[3], c[1], t[3])
+		c[2], z[2] = madd2(m, 7239337960414712511, c[2], c[0])
+		c[1], c[0] = madd2(v, y[4], c[1], t[4])
+		c[2], z[3] = madd2(m, 5412103778470702295, c[2], c[0])
+		c[1], c[0] = madd2(v, y[5], c[1], t[5])
+		z[5], z[4] = madd3(m, 1873798617647539866, c[0], c[2], c[1])
+	}
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		z[0], b = bits.Sub64(z[0], 13402431016077863595, 0)
+		z[1], b = bits.Sub64(z[1], 2210141511517208575, b)
+		z[2], b = bits.Sub64(z[2], 7435674573564081700, b)
+		z[3], b = bits.Sub64(z[3], 7239337960414712511, b)
+		z[4], b = bits.Sub64(z[4], 5412103778470702295, b)
+		z[5], _ = bits.Sub64(z[5], 1873798617647539866, b)
+	}
+}
+
+func square(z, x *fe) {
+
+	var p [6]uint64
+
+	var u, v uint64
+	{
+		// round 0
+		u, p[0] = bits.Mul64(x[0], x[0])
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		var t uint64
+		t, u, v = madd1sb(x[0], x[1], u)
+		C, p[0] = madd2(m, 2210141511517208575, v, C)
+		t, u, v = madd1s(x[0], x[2], t, u)
+		C, p[1] = madd2(m, 7435674573564081700, v, C)
+		t, u, v = madd1s(x[0], x[3], t, u)
+		C, p[2] = madd2(m, 7239337960414712511, v, C)
+		t, u, v = madd1s(x[0], x[4], t, u)
+		C, p[3] = madd2(m, 5412103778470702295, v, C)
+		_, u, v = madd1s(x[0], x[5], t, u)
+		p[5], p[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+	{
+		// round 1
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		u, v = madd1(x[1], x[1], p[1])
+		C, p[0] = madd2(m, 2210141511517208575, v, C)
+		var t uint64
+		t, u, v = madd2sb(x[1], x[2], p[2], u)
+		C, p[1] = madd2(m, 7435674573564081700, v, C)
+		t, u, v = madd2s(x[1], x[3], p[3], t, u)
+		C, p[2] = madd2(m, 7239337960414712511, v, C)
+		t, u, v = madd2s(x[1], x[4], p[4], t, u)
+		C, p[3] = madd2(m, 5412103778470702295, v, C)
+		_, u, v = madd2s(x[1], x[5], p[5], t, u)
+		p[5], p[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+	{
+		// round 2
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		C, p[0] = madd2(m, 2210141511517208575, p[1], C)
+		u, v = madd1(x[2], x[2], p[2])
+		C, p[1] = madd2(m, 7435674573564081700, v, C)
+		var t uint64
+		t, u, v = madd2sb(x[2], x[3], p[3], u)
+		C, p[2] = madd2(m, 7239337960414712511, v, C)
+		t, u, v = madd2s(x[2], x[4], p[4], t, u)
+		C, p[3] = madd2(m, 5412103778470702295, v, C)
+		_, u, v = madd2s(x[2], x[5], p[5], t, u)
+		p[5], p[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+	{
+		// round 3
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		C, p[0] = madd2(m, 2210141511517208575, p[1], C)
+		C, p[1] = madd2(m, 7435674573564081700, p[2], C)
+		u, v = madd1(x[3], x[3], p[3])
+		C, p[2] = madd2(m, 7239337960414712511, v, C)
+		var t uint64
+		t, u, v = madd2sb(x[3], x[4], p[4], u)
+		C, p[3] = madd2(m, 5412103778470702295, v, C)
+		_, u, v = madd2s(x[3], x[5], p[5], t, u)
+		p[5], p[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+	{
+		// round 4
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		C, p[0] = madd2(m, 2210141511517208575, p[1], C)
+		C, p[1] = madd2(m, 7435674573564081700, p[2], C)
+		C, p[2] = madd2(m, 7239337960414712511, p[3], C)
+		u, v = madd1(x[4], x[4], p[4])
+		C, p[3] = madd2(m, 5412103778470702295, v, C)
+		_, u, v = madd2sb(x[4], x[5], p[5], u)
+		p[5], p[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+	{
+		// round 5
+		m := p[0] * 9940570264628428797
+		C := madd0(m, 13402431016077863595, p[0])
+		C, z[0] = madd2(m, 2210141511517208575, p[1], C)
+		C, z[1] = madd2(m, 7435674573564081700, p[2], C)
+		C, z[2] = madd2(m, 7239337960414712511, p[3], C)
+		C, z[3] = madd2(m, 5412103778470702295, p[4], C)
+		u, v = madd1(x[5], x[5], p[5])
+		z[5], z[4] = madd3(m, 1873798617647539866, v, C, u)
+	}
+
+	// if z > q --> z -= q
+	// note: this is NOT constant time
+	if !(z[5] < 1873798617647539866 || (z[5] == 1873798617647539866 && (z[4] < 5412103778470702295 || (z[4] == 5412103778470702295 && (z[3] < 7239337960414712511 || (z[3] == 7239337960414712511 && (z[2] < 7435674573564081700 || (z[2] == 7435674573564081700 && (z[1] < 2210141511517208575 || (z[1] == 2210141511517208575 && (z[0] < 13402431016077863595))))))))))) {
+		var b uint64
+		z[0], b = bits.Sub64(z[0], 13402431016077863595, 0)
+		z[1], b = bits.Sub64(z[1], 2210141511517208575, b)
+		z[2], b = bits.Sub64(z[2], 7435674573564081700, b)
+		z[3], b = bits.Sub64(z[3], 7239337960414712511, b)
+		z[4], b = bits.Sub64(z[4], 5412103778470702295, b)
+		z[5], _ = bits.Sub64(z[5], 1873798617647539866, b)
+	}
+}
+
+// arith.go
+// Copyright 2020 ConsenSys AG
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// Code generated by goff DO NOT EDIT
+
+func madd(a, b, t, u, v uint64) (uint64, uint64, uint64) {
+	var carry uint64
+	hi, lo := bits.Mul64(a, b)
+	v, carry = bits.Add64(lo, v, 0)
+	u, carry = bits.Add64(hi, u, carry)
+	t, _ = bits.Add64(t, 0, carry)
+	return t, u, v
+}
+
+// madd0 hi = a*b + c (discards lo bits)
+func madd0(a, b, c uint64) (hi uint64) {
+	var carry, lo uint64
+	hi, lo = bits.Mul64(a, b)
+	_, carry = bits.Add64(lo, c, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	return
+}
+
+// madd1 hi, lo = a*b + c
+func madd1(a, b, c uint64) (hi uint64, lo uint64) {
+	var carry uint64
+	hi, lo = bits.Mul64(a, b)
+	lo, carry = bits.Add64(lo, c, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	return
+}
+
+// madd2 hi, lo = a*b + c + d
+func madd2(a, b, c, d uint64) (hi uint64, lo uint64) {
+	var carry uint64
+	hi, lo = bits.Mul64(a, b)
+	c, carry = bits.Add64(c, d, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	lo, carry = bits.Add64(lo, c, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	return
+}
+
+// madd2s superhi, hi, lo = 2*a*b + c + d + e
+func madd2s(a, b, c, d, e uint64) (superhi, hi, lo uint64) {
+	var carry, sum uint64
+
+	hi, lo = bits.Mul64(a, b)
+	lo, carry = bits.Add64(lo, lo, 0)
+	hi, superhi = bits.Add64(hi, hi, carry)
+
+	sum, carry = bits.Add64(c, e, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	lo, carry = bits.Add64(lo, sum, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	hi, _ = bits.Add64(hi, 0, d)
+	return
+}
+
+func madd1s(a, b, d, e uint64) (superhi, hi, lo uint64) {
+	var carry uint64
+
+	hi, lo = bits.Mul64(a, b)
+	lo, carry = bits.Add64(lo, lo, 0)
+	hi, superhi = bits.Add64(hi, hi, carry)
+	lo, carry = bits.Add64(lo, e, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	hi, _ = bits.Add64(hi, 0, d)
+	return
+}
+
+func madd2sb(a, b, c, e uint64) (superhi, hi, lo uint64) {
+	var carry, sum uint64
+
+	hi, lo = bits.Mul64(a, b)
+	lo, carry = bits.Add64(lo, lo, 0)
+	hi, superhi = bits.Add64(hi, hi, carry)
+
+	sum, carry = bits.Add64(c, e, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	lo, carry = bits.Add64(lo, sum, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	return
+}
+
+func madd1sb(a, b, e uint64) (superhi, hi, lo uint64) {
+	var carry uint64
+
+	hi, lo = bits.Mul64(a, b)
+	lo, carry = bits.Add64(lo, lo, 0)
+	hi, superhi = bits.Add64(hi, hi, carry)
+	lo, carry = bits.Add64(lo, e, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	return
+}
+
+func madd3(a, b, c, d, e uint64) (hi uint64, lo uint64) {
+	var carry uint64
+	hi, lo = bits.Mul64(a, b)
+	c, carry = bits.Add64(c, d, 0)
+	hi, _ = bits.Add64(hi, 0, carry)
+	lo, carry = bits.Add64(lo, c, 0)
+	hi, _ = bits.Add64(hi, e, carry)
+	return
+}

crypto/bls12381/arithmetic_x86.s

@@ -0,0 +1,2150 @@
+// +build amd64,blsasm amd64,blsadx
+
+#include "textflag.h"
+
+// addition w/ modular reduction
+// a = (a + b) % p
+TEXT ·addAssign(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ b+8(FP), SI
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+
+	// |
+	ADDQ (SI), R8
+	ADCQ 8(SI), R9
+	ADCQ 16(SI), R10
+	ADCQ 24(SI), R11
+	ADCQ 32(SI), R12
+	ADCQ 40(SI), R13
+
+	// |
+	MOVQ R8, R14
+	MOVQ R9, R15
+	MOVQ R10, CX
+	MOVQ R11, DX
+	MOVQ R12, SI
+	MOVQ R13, BX
+	MOVQ $0xb9feffffffffaaab, AX
+	SUBQ AX, R14
+	MOVQ $0x1eabfffeb153ffff, AX
+	SBBQ AX, R15
+	MOVQ $0x6730d2a0f6b0f624, AX
+	SBBQ AX, CX
+	MOVQ $0x64774b84f38512bf, AX
+	SBBQ AX, DX
+	MOVQ $0x4b1ba7b6434bacd7, AX
+	SBBQ AX, SI
+	MOVQ $0x1a0111ea397fe69a, AX
+	SBBQ AX, BX
+	CMOVQCC R14, R8
+	CMOVQCC R15, R9
+	CMOVQCC CX, R10
+	CMOVQCC DX, R11
+	CMOVQCC SI, R12
+	CMOVQCC BX, R13
+
+	// |
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+
+/*	 | end											*/
+
+
+// addition w/ modular reduction
+// c = (a + b) % p
+TEXT ·add(SB), NOSPLIT, $0-24
+	// |
+	MOVQ a+8(FP), DI
+	MOVQ b+16(FP), SI
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+
+	// |
+	ADDQ (SI), R8
+	ADCQ 8(SI), R9
+	ADCQ 16(SI), R10
+	ADCQ 24(SI), R11
+	ADCQ 32(SI), R12
+	ADCQ 40(SI), R13
+
+	// |
+	MOVQ R8, R14
+	MOVQ R9, R15
+	MOVQ R10, CX
+	MOVQ R11, DX
+	MOVQ R12, SI
+	MOVQ R13, BX
+	MOVQ $0xb9feffffffffaaab, DI
+	SUBQ DI, R14
+	MOVQ $0x1eabfffeb153ffff, DI
+	SBBQ DI, R15
+	MOVQ $0x6730d2a0f6b0f624, DI
+	SBBQ DI, CX
+	MOVQ $0x64774b84f38512bf, DI
+	SBBQ DI, DX
+	MOVQ $0x4b1ba7b6434bacd7, DI
+	SBBQ DI, SI
+	MOVQ $0x1a0111ea397fe69a, DI
+	SBBQ DI, BX
+	CMOVQCC R14, R8
+	CMOVQCC R15, R9
+	CMOVQCC CX, R10
+	CMOVQCC DX, R11
+	CMOVQCC SI, R12
+	CMOVQCC BX, R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// addition w/o reduction check
+// c = (a + b)
+TEXT ·ladd(SB), NOSPLIT, $0-24
+	// |
+	MOVQ a+8(FP), DI
+	MOVQ b+16(FP), SI
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+
+	// |
+	ADDQ (SI), R8
+	ADCQ 8(SI), R9
+	ADCQ 16(SI), R10
+	ADCQ 24(SI), R11
+	ADCQ 32(SI), R12
+	ADCQ 40(SI), R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// addition w/o reduction check
+// a = a + b
+TEXT ·laddAssign(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ b+8(FP), SI
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+
+	// |
+	ADDQ (SI), R8
+	ADCQ 8(SI), R9
+	ADCQ 16(SI), R10
+	ADCQ 24(SI), R11
+	ADCQ 32(SI), R12
+	ADCQ 40(SI), R13
+
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// subtraction w/ modular reduction
+// c = (a - b) % p
+TEXT ·sub(SB), NOSPLIT, $0-24
+	// |
+	MOVQ a+8(FP), DI
+	MOVQ b+16(FP), SI
+	XORQ AX, AX
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+	SUBQ (SI), R8
+	SBBQ 8(SI), R9
+	SBBQ 16(SI), R10
+	SBBQ 24(SI), R11
+	SBBQ 32(SI), R12
+	SBBQ 40(SI), R13
+
+	// |
+	MOVQ $0xb9feffffffffaaab, R14
+	MOVQ $0x1eabfffeb153ffff, R15
+	MOVQ $0x6730d2a0f6b0f624, CX
+	MOVQ $0x64774b84f38512bf, DX
+	MOVQ $0x4b1ba7b6434bacd7, SI
+	MOVQ $0x1a0111ea397fe69a, BX
+	CMOVQCC AX, R14
+	CMOVQCC AX, R15
+	CMOVQCC AX, CX
+	CMOVQCC AX, DX
+	CMOVQCC AX, SI
+	CMOVQCC AX, BX
+	ADDQ R14, R8
+	ADCQ R15, R9
+	ADCQ CX, R10
+	ADCQ DX, R11
+	ADCQ SI, R12
+	ADCQ BX, R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// subtraction w/ modular reduction
+// a = (a - b) % p
+TEXT ·subAssign(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ b+8(FP), SI
+	XORQ AX, AX
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+	SUBQ (SI), R8
+	SBBQ 8(SI), R9
+	SBBQ 16(SI), R10
+	SBBQ 24(SI), R11
+	SBBQ 32(SI), R12
+	SBBQ 40(SI), R13
+
+	// |
+	MOVQ $0xb9feffffffffaaab, R14
+	MOVQ $0x1eabfffeb153ffff, R15
+	MOVQ $0x6730d2a0f6b0f624, CX
+	MOVQ $0x64774b84f38512bf, DX
+	MOVQ $0x4b1ba7b6434bacd7, SI
+	MOVQ $0x1a0111ea397fe69a, BX
+	CMOVQCC AX, R14
+	CMOVQCC AX, R15
+	CMOVQCC AX, CX
+	CMOVQCC AX, DX
+	CMOVQCC AX, SI
+	CMOVQCC AX, BX
+	ADDQ R14, R8
+	ADCQ R15, R9
+	ADCQ CX, R10
+	ADCQ DX, R11
+	ADCQ SI, R12
+	ADCQ BX, R13
+
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// subtraction w/o reduction check
+// a = (a - b)
+TEXT ·lsubAssign(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ b+8(FP), SI
+
+	// |
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+	SUBQ (SI), R8
+	SBBQ 8(SI), R9
+	SBBQ 16(SI), R10
+	SBBQ 24(SI), R11
+	SBBQ 32(SI), R12
+	SBBQ 40(SI), R13
+	
+	// |
+	MOVQ a+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+// doubling w/ reduction
+// c = (2 * a) % p
+TEXT ·double(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+8(FP), DI
+
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+	ADDQ R8, R8
+	ADCQ R9, R9
+	ADCQ R10, R10
+	ADCQ R11, R11
+	ADCQ R12, R12
+	ADCQ R13, R13
+
+	// |
+	MOVQ R8, R14
+	MOVQ R9, R15
+	MOVQ R10, CX
+	MOVQ R11, DX
+	MOVQ R12, SI
+	MOVQ R13, BX
+	MOVQ $0xb9feffffffffaaab, DI
+	SUBQ DI, R14
+	MOVQ $0x1eabfffeb153ffff, DI
+	SBBQ DI, R15
+	MOVQ $0x6730d2a0f6b0f624, DI
+	SBBQ DI, CX
+	MOVQ $0x64774b84f38512bf, DI
+	SBBQ DI, DX
+	MOVQ $0x4b1ba7b6434bacd7, DI
+	SBBQ DI, SI
+	MOVQ $0x1a0111ea397fe69a, DI
+	SBBQ DI, BX
+	CMOVQCC R14, R8
+	CMOVQCC R15, R9
+	CMOVQCC CX, R10
+	CMOVQCC DX, R11
+	CMOVQCC SI, R12
+	CMOVQCC BX, R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// doubling w/ reduction
+// a = (2 * a) % p
+TEXT ·doubleAssign(SB), NOSPLIT, $0-8
+	// |
+	MOVQ a+0(FP), DI
+
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+	ADDQ R8, R8
+	ADCQ R9, R9
+	ADCQ R10, R10
+	ADCQ R11, R11
+	ADCQ R12, R12
+	ADCQ R13, R13
+
+	// |
+	MOVQ R8, R14
+	MOVQ R9, R15
+	MOVQ R10, CX
+	MOVQ R11, DX
+	MOVQ R12, SI
+	MOVQ R13, BX
+	MOVQ $0xb9feffffffffaaab, AX
+	SUBQ AX, R14
+	MOVQ $0x1eabfffeb153ffff, AX
+	SBBQ AX, R15
+	MOVQ $0x6730d2a0f6b0f624, AX
+	SBBQ AX, CX
+	MOVQ $0x64774b84f38512bf, AX
+	SBBQ AX, DX
+	MOVQ $0x4b1ba7b6434bacd7, AX
+	SBBQ AX, SI
+	MOVQ $0x1a0111ea397fe69a, AX
+	SBBQ AX, BX
+	CMOVQCC R14, R8
+	CMOVQCC R15, R9
+	CMOVQCC CX, R10
+	CMOVQCC DX, R11
+	CMOVQCC SI, R12
+	CMOVQCC BX, R13
+
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// doubling w/o reduction
+// c = 2 * a
+TEXT ·ldouble(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+8(FP), DI
+
+	MOVQ (DI), R8
+	MOVQ 8(DI), R9
+	MOVQ 16(DI), R10
+	MOVQ 24(DI), R11
+	MOVQ 32(DI), R12
+	MOVQ 40(DI), R13
+
+	// |
+	ADDQ R8, R8
+	ADCQ R9, R9
+	ADCQ R10, R10
+	ADCQ R11, R11
+	ADCQ R12, R12
+	ADCQ R13, R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+
+	RET
+/*	 | end													*/
+
+
+TEXT ·_neg(SB), NOSPLIT, $0-16
+	// |
+	MOVQ a+8(FP), DI
+
+	// |
+	MOVQ $0xb9feffffffffaaab, R8
+	MOVQ $0x1eabfffeb153ffff, R9
+	MOVQ $0x6730d2a0f6b0f624, R10
+	MOVQ $0x64774b84f38512bf, R11
+	MOVQ $0x4b1ba7b6434bacd7, R12
+	MOVQ $0x1a0111ea397fe69a, R13
+	SUBQ (DI), R8
+	SBBQ 8(DI), R9
+	SBBQ 16(DI), R10
+	SBBQ 24(DI), R11
+	SBBQ 32(DI), R12
+	SBBQ 40(DI), R13
+
+	// |
+	MOVQ c+0(FP), DI
+	MOVQ R8, (DI)
+	MOVQ R9, 8(DI)
+	MOVQ R10, 16(DI)
+	MOVQ R11, 24(DI)
+	MOVQ R12, 32(DI)
+	MOVQ R13, 40(DI)
+	RET
+/*	 | end													*/
+
+
+// multiplication without using MULX/ADX
+// c = a * b % p
+TEXT ·mulNoADX(SB), NOSPLIT, $24-24
+	// |
+
+/* inputs                                  */
+
+	MOVQ a+8(FP), DI
+	MOVQ b+16(FP), SI
+	MOVQ $0x00, R9
+	MOVQ $0x00, R10
+	MOVQ $0x00, R11
+	MOVQ $0x00, R12
+	MOVQ $0x00, R13
+	MOVQ $0x00, R14
+	MOVQ $0x00, R15
+
+	// |
+
+/* i0                                   */
+
+	// | a0 @ CX
+	MOVQ (DI), CX
+
+	// | a0 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	MOVQ AX, (SP)
+	MOVQ DX, R8
+
+	// | a0 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R8
+	ADCQ DX, R9
+
+	// | a0 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R9
+	ADCQ DX, R10
+
+	// | a0 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R10
+	ADCQ DX, R11
+
+	// | a0 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R11
+	ADCQ DX, R12
+
+	// | a0 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+
+	// |
+
+/* i1                                   */
+
+	// | a1 @ CX
+	MOVQ 8(DI), CX
+	MOVQ $0x00, BX
+
+	// | a1 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	ADDQ AX, R8
+	ADCQ DX, R9
+	ADCQ $0x00, R10
+	ADCQ $0x00, BX
+	MOVQ R8, 8(SP)
+	MOVQ $0x00, R8
+
+	// | a1 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R9
+	ADCQ DX, R10
+	ADCQ BX, R11
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a1 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R10
+	ADCQ DX, R11
+	ADCQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a1 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R11
+	ADCQ DX, R12
+	ADCQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a1 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+	ADCQ BX, R14
+
+	// | a1 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R13
+	ADCQ DX, R14
+
+	// |
+
+/* i2                                   */
+
+	// | a2 @ CX
+	MOVQ 16(DI), CX
+	MOVQ $0x00, BX
+
+	// | a2 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	ADDQ AX, R9
+	ADCQ DX, R10
+	ADCQ $0x00, R11
+	ADCQ $0x00, BX
+	MOVQ R9, 16(SP)
+	MOVQ $0x00, R9
+
+	// | a2 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R10
+	ADCQ DX, R11
+	ADCQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a2 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R11
+	ADCQ DX, R12
+	ADCQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a2 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+	ADCQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a2 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R13
+	ADCQ DX, R14
+	ADCQ BX, R15
+
+	// | a2 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R14
+	ADCQ DX, R15
+
+	// |
+
+/* i3                                   */
+
+	// | a3 @ CX
+	MOVQ 24(DI), CX
+	MOVQ $0x00, BX
+
+	// | a3 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	ADDQ AX, R10
+	ADCQ DX, R11
+	ADCQ $0x00, R12
+	ADCQ $0x00, BX
+
+	// | a3 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R11
+	ADCQ DX, R12
+	ADCQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a3 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+	ADCQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a3 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R13
+	ADCQ DX, R14
+	ADCQ BX, R15
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a3 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R14
+	ADCQ DX, R15
+	ADCQ BX, R8
+
+	// | a3 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R15
+	ADCQ DX, R8
+
+	// |
+
+/* i4                                   */
+
+	// | a4 @ CX
+	MOVQ 32(DI), CX
+	MOVQ $0x00, BX
+
+	// | a4 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	ADDQ AX, R11
+	ADCQ DX, R12
+	ADCQ $0x00, R13
+	ADCQ $0x00, BX
+
+	// | a4 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+	ADCQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a4 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R13
+	ADCQ DX, R14
+	ADCQ BX, R15
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a4 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R14
+	ADCQ DX, R15
+	ADCQ BX, R8
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a4 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R15
+	ADCQ DX, R8
+	ADCQ BX, R9
+
+	// | a4 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R8
+	ADCQ DX, R9
+
+	// |
+
+/* i5                                   */
+
+	// | a5 @ CX
+	MOVQ 40(DI), CX
+	MOVQ $0x00, BX
+
+	// | a5 * b0
+	MOVQ (SI), AX
+	MULQ CX
+	ADDQ AX, R12
+	ADCQ DX, R13
+	ADCQ $0x00, R14
+	ADCQ $0x00, BX
+
+	// | a5 * b1
+	MOVQ 8(SI), AX
+	MULQ CX
+	ADDQ AX, R13
+	ADCQ DX, R14
+	ADCQ BX, R15
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a5 * b2
+	MOVQ 16(SI), AX
+	MULQ CX
+	ADDQ AX, R14
+	ADCQ DX, R15
+	ADCQ BX, R8
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a5 * b3
+	MOVQ 24(SI), AX
+	MULQ CX
+	ADDQ AX, R15
+	ADCQ DX, R8
+	ADCQ BX, R9
+	MOVQ $0x00, BX
+	ADCQ $0x00, BX
+
+	// | a5 * b4
+	MOVQ 32(SI), AX
+	MULQ CX
+	ADDQ AX, R8
+	ADCQ DX, R9
+	ADCQ $0x00, BX
+
+	// | a5 * b5
+	MOVQ 40(SI), AX
+	MULQ CX
+	ADDQ AX, R9
+	ADCQ DX, BX
+
+	// |
+
+/* 			                                     */
+
+	// |
+	// | W
+	// | 0   (SP)      | 1   8(SP)     | 2   16(SP)    | 3   R10       | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  R9        | 11  BX
+
+
+	MOVQ (SP), CX
+	MOVQ 8(SP), DI
+	MOVQ 16(SP), SI
+	MOVQ BX, (SP)
+	MOVQ R9, 8(SP)
+
+	// |
+
+/* montgomery reduction                    */
+
+	// |
+
+/* i0                                   */
+
+	// |
+	// | W
+	// | 0   CX        | 1   DI        | 2   SI        | 3   R10       | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  8(SP)     | 11  (SP)
+
+
+	// | | u0 = w0 * inp
+	MOVQ CX, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w0 @ CX
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, CX
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w1 @ DI
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, DI
+	ADCQ $0x00, DX
+	ADDQ BX, DI
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w2 @ SI
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, SI
+	ADCQ $0x00, DX
+	ADDQ BX, SI
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w3 @ R10
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R10
+	ADCQ $0x00, DX
+	ADDQ BX, R10
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w4 @ R11
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R11
+	ADCQ $0x00, DX
+	ADDQ BX, R11
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w5 @ R12
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ $0x00, DX
+	ADDQ BX, R12
+
+	// | w6 @ R13
+	ADCQ DX, R13
+	ADCQ $0x00, CX
+
+	// |
+
+/* i1                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   DI        | 2   SI        | 3   R10       | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  8(SP)     | 11  (SP)
+
+
+	// | | u1 = w1 * inp
+	MOVQ DI, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w1 @ DI
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, DI
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w2 @ SI
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, SI
+	ADCQ $0x00, DX
+	ADDQ BX, SI
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w3 @ R10
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, R10
+	ADCQ $0x00, DX
+	ADDQ BX, R10
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w4 @ R11
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R11
+	ADCQ $0x00, DX
+	ADDQ BX, R11
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w5 @ R12
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ $0x00, DX
+	ADDQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w6 @ R13
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, R13
+	ADCQ DX, CX
+	ADDQ BX, R13
+
+	// | w7 @ R14
+	ADCQ CX, R14
+	MOVQ $0x00, CX
+	ADCQ $0x00, CX
+
+	// |
+
+/* i2                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   SI        | 3   R10       | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  8(SP)     | 11  (SP)
+
+
+	// | | u2 = w2 * inp
+	MOVQ SI, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w2 @ SI
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, SI
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w3 @ R10
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, R10
+	ADCQ $0x00, DX
+	ADDQ BX, R10
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w4 @ R11
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, R11
+	ADCQ $0x00, DX
+	ADDQ BX, R11
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w5 @ R12
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ $0x00, DX
+	ADDQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w6 @ R13
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R13
+	ADCQ $0x00, DX
+	ADDQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w7 @ R14
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, R14
+	ADCQ DX, CX
+	ADDQ BX, R14
+
+	// | w8 @ R15
+	ADCQ CX, R15
+	MOVQ $0x00, CX
+	ADCQ $0x00, CX
+
+	// |
+
+/* i3                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   R10       | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  8(SP)     | 11  (SP)
+
+
+	// | | u3 = w3 * inp
+	MOVQ R10, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w3 @ R10
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, R10
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w4 @ R11
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, R11
+	ADCQ $0x00, DX
+	ADDQ BX, R11
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w5 @ R12
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ $0x00, DX
+	ADDQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w6 @ R13
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R13
+	ADCQ $0x00, DX
+	ADDQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w7 @ R14
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R14
+	ADCQ $0x00, DX
+	ADDQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w8 @ R15
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, R15
+	ADCQ DX, CX
+	ADDQ BX, R15
+
+	// | w9 @ R8
+	ADCQ CX, R8
+	MOVQ $0x00, CX
+	ADCQ $0x00, CX
+
+	// |
+
+/* i4                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   R11       | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  8(SP)     | 11  (SP)
+
+
+	// | | u4 = w4 * inp
+	MOVQ R11, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w4 @ R11
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, R11
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w5 @ R12
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ $0x00, DX
+	ADDQ BX, R12
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w6 @ R13
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, R13
+	ADCQ $0x00, DX
+	ADDQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w7 @ R14
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R14
+	ADCQ $0x00, DX
+	ADDQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w8 @ R15
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R15
+	ADCQ $0x00, DX
+	ADDQ BX, R15
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w9 @ R8
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, R8
+	ADCQ DX, CX
+	ADDQ BX, R8
+
+	// | move to idle register
+	MOVQ 8(SP), DI
+
+	// | w10 @ DI
+	ADCQ CX, DI
+	MOVQ $0x00, CX
+	ADCQ $0x00, CX
+
+	// |
+
+/* i5                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   -         | 5   R12
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  DI        | 11  (SP)
+
+
+	// | | u5 = w5 * inp
+	MOVQ R12, AX
+	MULQ ·inp+0(SB)
+	MOVQ AX, R9
+	MOVQ $0x00, BX
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w5 @ R12
+	MOVQ ·modulus+0(SB), AX
+	MULQ R9
+	ADDQ AX, R12
+	ADCQ DX, BX
+
+	// | j1
+
+	// | w6 @ R13
+	MOVQ ·modulus+8(SB), AX
+	MULQ R9
+	ADDQ AX, R13
+	ADCQ $0x00, DX
+	ADDQ BX, R13
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j2
+
+	// | w7 @ R14
+	MOVQ ·modulus+16(SB), AX
+	MULQ R9
+	ADDQ AX, R14
+	ADCQ $0x00, DX
+	ADDQ BX, R14
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j3
+
+	// | w8 @ R15
+	MOVQ ·modulus+24(SB), AX
+	MULQ R9
+	ADDQ AX, R15
+	ADCQ $0x00, DX
+	ADDQ BX, R15
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j4
+
+	// | w9 @ R8
+	MOVQ ·modulus+32(SB), AX
+	MULQ R9
+	ADDQ AX, R8
+	ADCQ $0x00, DX
+	ADDQ BX, R8
+	MOVQ $0x00, BX
+	ADCQ DX, BX
+
+	// | j5
+
+	// | w10 @ DI
+	MOVQ ·modulus+40(SB), AX
+	MULQ R9
+	ADDQ AX, DI
+	ADCQ DX, CX
+	ADDQ BX, DI
+
+	// | w11 @ CX
+	ADCQ (SP), CX
+
+	// |
+	// | W montgomerry reduction ends
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   -         | 5   -
+	// | 6   R13       | 7   R14       | 8   R15       | 9   R8        | 10  DI        | 11  CX
+
+
+	// |
+
+
+/* modular reduction                       */
+
+	MOVQ R13, R10
+	SUBQ ·modulus+0(SB), R10
+	MOVQ R14, R11
+	SBBQ ·modulus+8(SB), R11
+	MOVQ R15, R12
+	SBBQ ·modulus+16(SB), R12
+	MOVQ R8, AX
+	SBBQ ·modulus+24(SB), AX
+	MOVQ DI, BX
+	SBBQ ·modulus+32(SB), BX
+	MOVQ CX, R9
+	SBBQ ·modulus+40(SB), R9
+	// |
+
+/* out                                     */
+
+	MOVQ    c+0(FP), SI
+	CMOVQCC R10, R13
+	MOVQ    R13, (SI)
+	CMOVQCC R11, R14
+	MOVQ    R14, 8(SI)
+	CMOVQCC R12, R15
+	MOVQ    R15, 16(SI)
+	CMOVQCC AX, R8
+	MOVQ    R8, 24(SI)
+	CMOVQCC BX, DI
+	MOVQ    DI, 32(SI)
+	CMOVQCC R9, CX
+	MOVQ    CX, 40(SI)
+	RET
+
+	// |
+
+/* end                                     */
+
+
+// multiplication
+// c = a * b % p
+TEXT ·mulADX(SB), NOSPLIT, $16-24
+	// |
+
+/* inputs                                  */
+
+	MOVQ a+8(FP), DI
+	MOVQ b+16(FP), SI
+	XORQ AX, AX
+
+	// |
+
+/* i0                                   */
+
+	// | a0 @ DX
+	MOVQ (DI), DX
+
+	// | a0 * b0
+	MULXQ (SI), AX, CX
+	MOVQ  AX, (SP)
+
+	// | a0 * b1
+	MULXQ 8(SI), AX, R8
+	ADCXQ AX, CX
+
+	// | a0 * b2
+	MULXQ 16(SI), AX, R9
+	ADCXQ AX, R8
+
+	// | a0 * b3
+	MULXQ 24(SI), AX, R10
+	ADCXQ AX, R9
+
+	// | a0 * b4
+	MULXQ 32(SI), AX, R11
+	ADCXQ AX, R10
+
+	// | a0 * b5
+	MULXQ 40(SI), AX, R12
+	ADCXQ AX, R11
+	ADCQ  $0x00, R12
+
+	// |
+
+/* i1                                   */
+
+	// | a1 @ DX
+	MOVQ 8(DI), DX
+	XORQ R13, R13
+
+	// | a1 * b0
+	MULXQ (SI), AX, BX
+	ADOXQ AX, CX
+	ADCXQ BX, R8
+	MOVQ  CX, 8(SP)
+
+	// | a1 * b1
+	MULXQ 8(SI), AX, BX
+	ADOXQ AX, R8
+	ADCXQ BX, R9
+
+	// | a1 * b2
+	MULXQ 16(SI), AX, BX
+	ADOXQ AX, R9
+	ADCXQ BX, R10
+
+	// | a1 * b3
+	MULXQ 24(SI), AX, BX
+	ADOXQ AX, R10
+	ADCXQ BX, R11
+
+	// | a1 * b4
+	MULXQ 32(SI), AX, BX
+	ADOXQ AX, R11
+	ADCXQ BX, R12
+
+	// | a1 * b5
+	MULXQ 40(SI), AX, BX
+	ADOXQ AX, R12
+	ADOXQ R13, R13
+	ADCXQ BX, R13
+
+	// |
+
+/* i2                                   */
+
+	// | a2 @ DX
+	MOVQ 16(DI), DX
+	XORQ R14, R14
+
+	// | a2 * b0
+	MULXQ (SI), AX, BX
+	ADOXQ AX, R8
+	ADCXQ BX, R9
+
+	// | a2 * b1
+	MULXQ 8(SI), AX, BX
+	ADOXQ AX, R9
+	ADCXQ BX, R10
+
+	// | a2 * b2
+	MULXQ 16(SI), AX, BX
+	ADOXQ AX, R10
+	ADCXQ BX, R11
+
+	// | a2 * b3
+	MULXQ 24(SI), AX, BX
+	ADOXQ AX, R11
+	ADCXQ BX, R12
+
+	// | a2 * b4
+	MULXQ 32(SI), AX, BX
+	ADOXQ AX, R12
+	ADCXQ BX, R13
+
+	// | a2 * b5
+	MULXQ 40(SI), AX, BX
+	ADOXQ AX, R13
+	ADOXQ R14, R14
+	ADCXQ BX, R14
+
+	// |
+
+/* i3                                   */
+
+	// | a3 @ DX
+	MOVQ 24(DI), DX
+	XORQ R15, R15
+
+	// | a3 * b0
+	MULXQ (SI), AX, BX
+	ADOXQ AX, R9
+	ADCXQ BX, R10
+
+	// | a3 * b1
+	MULXQ 8(SI), AX, BX
+	ADOXQ AX, R10
+	ADCXQ BX, R11
+
+	// | a3 * b2
+	MULXQ 16(SI), AX, BX
+	ADOXQ AX, R11
+	ADCXQ BX, R12
+
+	// | a3 * b3
+	MULXQ 24(SI), AX, BX
+	ADOXQ AX, R12
+	ADCXQ BX, R13
+
+	// | a3 * b4
+	MULXQ 32(SI), AX, BX
+	ADOXQ AX, R13
+	ADCXQ BX, R14
+
+	// | a3 * b5
+	MULXQ 40(SI), AX, BX
+	ADOXQ AX, R14
+	ADOXQ R15, R15
+	ADCXQ BX, R15
+
+	// |
+
+/* i4                                   */
+
+	// | a4 @ DX
+	MOVQ 32(DI), DX
+	XORQ CX, CX
+
+	// | a4 * b0
+	MULXQ (SI), AX, BX
+	ADOXQ AX, R10
+	ADCXQ BX, R11
+
+	// | a4 * b1
+	MULXQ 8(SI), AX, BX
+	ADOXQ AX, R11
+	ADCXQ BX, R12
+
+	// | a4 * b2
+	MULXQ 16(SI), AX, BX
+	ADOXQ AX, R12
+	ADCXQ BX, R13
+
+	// | a4 * b3
+	MULXQ 24(SI), AX, BX
+	ADOXQ AX, R13
+	ADCXQ BX, R14
+
+	// | a4 * b4
+	MULXQ 32(SI), AX, BX
+	ADOXQ AX, R14
+	ADCXQ BX, R15
+
+	// | a4 * b5
+	MULXQ 40(SI), AX, BX
+	ADOXQ AX, R15
+	ADOXQ CX, CX
+	ADCXQ BX, CX
+
+	// |
+
+/* i5                                   */
+
+	// | a5 @ DX
+	MOVQ 40(DI), DX
+	XORQ DI, DI
+
+	// | a5 * b0
+	MULXQ (SI), AX, BX
+	ADOXQ AX, R11
+	ADCXQ BX, R12
+
+	// | a5 * b1
+	MULXQ 8(SI), AX, BX
+	ADOXQ AX, R12
+	ADCXQ BX, R13
+
+	// | a5 * b2
+	MULXQ 16(SI), AX, BX
+	ADOXQ AX, R13
+	ADCXQ BX, R14
+
+	// | a5 * b3
+	MULXQ 24(SI), AX, BX
+	ADOXQ AX, R14
+	ADCXQ BX, R15
+
+	// | a5 * b4
+	MULXQ 32(SI), AX, BX
+	ADOXQ AX, R15
+	ADCXQ BX, CX
+
+	// | a5 * b5
+	MULXQ 40(SI), AX, BX
+	ADOXQ AX, CX
+	ADOXQ BX, DI
+	ADCQ  $0x00, DI
+
+	// |
+
+/* 			                                     */
+
+	// |
+	// | W
+	// | 0   (SP)      | 1   8(SP)     | 2   R8        | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  DI
+
+
+	MOVQ (SP), BX
+	MOVQ 8(SP), SI
+	MOVQ DI, (SP)
+
+	// |
+	// | W ready to mont
+	// | 0   BX        | 1   SI        | 2   R8        | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// |
+
+/* montgomery reduction                    */
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i0                                   */
+
+	// |
+	// | W
+	// | 0   BX        | 1   SI        | 2   R8        | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u0 = w0 * inp
+	MOVQ  BX, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w0 @ BX
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, BX
+	ADCXQ DI, SI
+
+	// | j1
+
+	// | w1 @ SI
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, SI
+	ADCXQ DI, R8
+
+	// | j2
+
+	// | w2 @ R8
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R8
+	ADCXQ DI, R9
+
+	// | j3
+
+	// | w3 @ R9
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R9
+	ADCXQ DI, R10
+
+	// | j4
+
+	// | w4 @ R10
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R10
+	ADCXQ DI, R11
+
+	// | j5
+
+	// | w5 @ R11
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+	ADOXQ BX, R12
+	ADCXQ BX, BX
+	MOVQ  $0x00, AX
+	ADOXQ AX, BX
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i1                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   SI        | 2   R8        | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u1 = w1 * inp
+	MOVQ  SI, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w1 @ SI
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, SI
+	ADCXQ DI, R8
+
+	// | j1
+
+	// | w2 @ R8
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, R8
+	ADCXQ DI, R9
+
+	// | j2
+
+	// | w3 @ R9
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R9
+	ADCXQ DI, R10
+
+	// | j3
+
+	// | w4 @ R10
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R10
+	ADCXQ DI, R11
+
+	// | j4
+
+	// | w5 @ R11
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+
+	// | j5
+
+	// | w6 @ R12
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, R12
+	ADCXQ DI, R13
+	ADOXQ BX, R13
+	ADCXQ SI, SI
+	MOVQ  $0x00, AX
+	ADOXQ AX, SI
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i2                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   R8        | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u2 = w2 * inp
+	MOVQ  R8, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w2 @ R8
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, R8
+	ADCXQ DI, R9
+
+	// | j1
+
+	// | w3 @ R9
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, R9
+	ADCXQ DI, R10
+
+	// | j2
+
+	// | w4 @ R10
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R10
+	ADCXQ DI, R11
+
+	// | j3
+
+	// | w5 @ R11
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+
+	// | j4
+
+	// | w6 @ R12
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R12
+	ADCXQ DI, R13
+
+	// | j5
+
+	// | w7 @ R13
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, R13
+	ADCXQ DI, R14
+	ADOXQ SI, R14
+	ADCXQ R8, R8
+	MOVQ  $0x00, AX
+	ADOXQ AX, R8
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i3                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   R9        | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u3 = w3 * inp
+	MOVQ  R9, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w3 @ R9
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, R9
+	ADCXQ DI, R10
+
+	// | j1
+
+	// | w4 @ R10
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, R10
+	ADCXQ DI, R11
+
+	// | j2
+
+	// | w5 @ R11
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+
+	// | j3
+
+	// | w6 @ R12
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R12
+	ADCXQ DI, R13
+
+	// | j4
+
+	// | w7 @ R13
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R13
+	ADCXQ DI, R14
+
+	// | j5
+
+	// | w8 @ R14
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, R14
+	ADCXQ DI, R15
+	ADOXQ R8, R15
+	ADCXQ R9, R9
+	MOVQ  $0x00, AX
+	ADOXQ AX, R9
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i4                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   R10       | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u4 = w4 * inp
+	MOVQ  R10, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w4 @ R10
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, R10
+	ADCXQ DI, R11
+
+	// | j1
+
+	// | w5 @ R11
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+
+	// | j2
+
+	// | w6 @ R12
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R12
+	ADCXQ DI, R13
+
+	// | j3
+
+	// | w7 @ R13
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R13
+	ADCXQ DI, R14
+
+	// | j4
+
+	// | w8 @ R14
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R14
+	ADCXQ DI, R15
+
+	// | j5
+
+	// | w9 @ R15
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, R15
+	ADCXQ DI, CX
+	ADOXQ R9, CX
+	ADCXQ R10, R10
+	MOVQ  $0x00, AX
+	ADOXQ AX, R10
+
+	// | clear flags
+	XORQ AX, AX
+
+	// |
+
+/* i5                                   */
+
+	// |
+	// | W
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   -         | 5   R11
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  (SP)
+
+
+	// | | u5 = w5 * inp
+	MOVQ  R11, DX
+	MULXQ ·inp+0(SB), DX, DI
+
+	// |
+
+/*                                         */
+
+	// | j0
+
+	// | w5 @ R11
+	MULXQ ·modulus+0(SB), AX, DI
+	ADOXQ AX, R11
+	ADCXQ DI, R12
+
+	// | j1
+
+	// | w6 @ R12
+	MULXQ ·modulus+8(SB), AX, DI
+	ADOXQ AX, R12
+	ADCXQ DI, R13
+
+	// | j2
+
+	// | w7 @ R13
+	MULXQ ·modulus+16(SB), AX, DI
+	ADOXQ AX, R13
+	ADCXQ DI, R14
+
+	// | j3
+
+	// | w8 @ R14
+	MULXQ ·modulus+24(SB), AX, DI
+	ADOXQ AX, R14
+	ADCXQ DI, R15
+
+	// | j4
+
+	// | w9 @ R15
+	MULXQ ·modulus+32(SB), AX, DI
+	ADOXQ AX, R15
+	ADCXQ DI, CX
+
+	// | j5
+
+	// | w10 @ CX
+	MULXQ ·modulus+40(SB), AX, DI
+	ADOXQ AX, CX
+
+	// | w11 @ (SP)
+	// | move to an idle register
+	MOVQ  (SP), BX
+	ADCXQ DI, BX
+	ADOXQ R10, BX
+
+	// |
+	// | W montgomery reduction ends
+	// | 0   -         | 1   -         | 2   -         | 3   -         | 4   -         | 5   -
+	// | 6   R12       | 7   R13       | 8   R14       | 9   R15       | 10  CX        | 11  BX
+
+
+	// |
+
+/* modular reduction                       */
+
+	MOVQ R12, AX
+	SUBQ ·modulus+0(SB), AX
+	MOVQ R13, DI
+	SBBQ ·modulus+8(SB), DI
+	MOVQ R14, SI
+	SBBQ ·modulus+16(SB), SI
+	MOVQ R15, R8
+	SBBQ ·modulus+24(SB), R8
+	MOVQ CX, R9
+	SBBQ ·modulus+32(SB), R9
+	MOVQ BX, R10
+	SBBQ ·modulus+40(SB), R10
+
+	// |
+
+/* out                                     */
+
+	MOVQ    c+0(FP), R11
+	CMOVQCC AX, R12
+	MOVQ    R12, (R11)
+	CMOVQCC DI, R13
+	MOVQ    R13, 8(R11)
+	CMOVQCC SI, R14
+	MOVQ    R14, 16(R11)
+	CMOVQCC R8, R15
+	MOVQ    R15, 24(R11)
+	CMOVQCC R9, CX
+	MOVQ    CX, 32(R11)
+	CMOVQCC R10, BX
+	MOVQ    BX, 40(R11)
+	RET
+
+	// |
+
+/* end 																			*/

crypto/bls12381/arithmetic_x86_adx.go

@@ -0,0 +1,24 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+// +build amd64,blsadx
+
+package bls12381
+
+// enableADX is true if the ADX/BMI2 instruction set was requested for the BLS
+// implementation. The system may still fall back to plain ASM if the necessary
+// instructions are unavailable on the CPU.
+const enableADX = true

crypto/bls12381/arithmetic_x86_noadx.go

@@ -0,0 +1,24 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+// +build amd64,blsasm
+
+package bls12381
+
+// enableADX is true if the ADX/BMI2 instruction set was requested for the BLS
+// implementation. The system may still fall back to plain ASM if the necessary
+// instructions are unavailable on the CPU.
+const enableADX = false

crypto/bls12381/bls12_381.go

@@ -0,0 +1,230 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+/*
+	Field Constants
+*/
+
+// Base field modulus
+// p = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
+
+// Size of six words
+// r = 2 ^ 384
+
+// modulus = p
+var modulus = fe{0xb9feffffffffaaab, 0x1eabfffeb153ffff, 0x6730d2a0f6b0f624, 0x64774b84f38512bf, 0x4b1ba7b6434bacd7, 0x1a0111ea397fe69a}
+
+var (
+	// -p^(-1) mod 2^64
+	inp uint64 = 0x89f3fffcfffcfffd
+	// This value is used in assembly code
+	_ = inp
+)
+
+// r mod p
+var r1 = &fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493}
+
+// r^2 mod p
+var r2 = &fe{
+	0xf4df1f341c341746, 0x0a76e6a609d104f1, 0x8de5476c4c95b6d5, 0x67eb88a9939d83c0, 0x9a793e85b519952d, 0x11988fe592cae3aa,
+}
+
+// -1 + 0 * u
+var negativeOne2 = &fe2{
+	fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206},
+	fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+}
+
+// 2 ^ (-1)
+var twoInv = &fe{0x1804000000015554, 0x855000053ab00001, 0x633cb57c253c276f, 0x6e22d1ec31ebb502, 0xd3916126f2d14ca2, 0x17fbb8571a006596}
+
+// (p - 3) / 4
+var pMinus3Over4 = bigFromHex("0x680447a8e5ff9a692c6e9ed90d2eb35d91dd2e13ce144afd9cc34a83dac3d8907aaffffac54ffffee7fbfffffffeaaa")
+
+// (p + 1) / 4
+var pPlus1Over4 = bigFromHex("0x680447a8e5ff9a692c6e9ed90d2eb35d91dd2e13ce144afd9cc34a83dac3d8907aaffffac54ffffee7fbfffffffeaab")
+
+// (p - 1) / 2
+var pMinus1Over2 = bigFromHex("0xd0088f51cbff34d258dd3db21a5d66bb23ba5c279c2895fb39869507b587b120f55ffff58a9ffffdcff7fffffffd555")
+
+// -1
+var nonResidue1 = &fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206}
+
+// (1 + 1 * u)
+var nonResidue2 = &fe2{
+	fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+	fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+}
+
+/*
+	Curve Constants
+*/
+
+// b coefficient for G1
+var b = &fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e}
+
+// b coefficient for G2
+var b2 = &fe2{
+	fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e},
+	fe{0xaa270000000cfff3, 0x53cc0032fc34000a, 0x478fe97a6b0a807f, 0xb1d37ebee6ba24d7, 0x8ec9733bbf78ab2f, 0x09d645513d83de7e},
+}
+
+// Curve order
+var q = bigFromHex("0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001")
+
+// Efficient cofactor of G1
+var cofactorEFFG1 = bigFromHex("0xd201000000010001")
+
+// Efficient cofactor of G2
+var cofactorEFFG2 = bigFromHex("0x0bc69f08f2ee75b3584c6a0ea91b352888e2a8e9145ad7689986ff031508ffe1329c2f178731db956d82bf015d1212b02ec0ec69d7477c1ae954cbc06689f6a359894c0adebbf6b4e8020005aaa95551")
+
+var g1One = PointG1{
+	fe{0x5cb38790fd530c16, 0x7817fc679976fff5, 0x154f95c7143ba1c1, 0xf0ae6acdf3d0e747, 0xedce6ecc21dbf440, 0x120177419e0bfb75},
+	fe{0xbaac93d50ce72271, 0x8c22631a7918fd8e, 0xdd595f13570725ce, 0x51ac582950405194, 0x0e1c8c3fad0059c0, 0x0bbc3efc5008a26a},
+	fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+}
+
+var g2One = PointG2{
+	fe2{
+		fe{0xf5f28fa202940a10, 0xb3f5fb2687b4961a, 0xa1a893b53e2ae580, 0x9894999d1a3caee9, 0x6f67b7631863366b, 0x058191924350bcd7},
+		fe{0xa5a9c0759e23f606, 0xaaa0c59dbccd60c3, 0x3bb17e18e2867806, 0x1b1ab6cc8541b367, 0xc2b6ed0ef2158547, 0x11922a097360edf3},
+	},
+	fe2{
+		fe{0x4c730af860494c4a, 0x597cfa1f5e369c5a, 0xe7e6856caa0a635a, 0xbbefb5e96e0d495f, 0x07d3a975f0ef25a2, 0x083fd8e7e80dae5},
+		fe{0xadc0fc92df64b05d, 0x18aa270a2b1461dc, 0x86adac6a3be4eba0, 0x79495c4ec93da33a, 0xe7175850a43ccaed, 0xb2bc2a163de1bf2},
+	},
+	fe2{
+		fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+}
+
+/*
+	Frobenious Coeffs
+*/
+
+var frobeniusCoeffs61 = [6]fe2{
+	fe2{
+		fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+		fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741},
+	},
+	fe2{
+		fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+		fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+	},
+	fe2{
+		fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+		fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160},
+	},
+}
+
+var frobeniusCoeffs62 = [6]fe2{
+	fe2{
+		fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x890dc9e4867545c3, 0x2af322533285a5d5, 0x50880866309b7e2c, 0xa20d1b8c7e881024, 0x14e4f04fe2db9068, 0x14e56d3f1564853a},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0xecfb361b798dba3a, 0xc100ddb891865a2c, 0x0ec08ff1232bda8e, 0xd5c13cc6f1ca4721, 0x47222a47bf7b5c04, 0x0110f184e51c5f59},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+}
+
+var frobeniusCoeffs12 = [12]fe2{
+	fe2{
+		fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x07089552b319d465, 0xc6695f92b50a8313, 0x97e83cccd117228f, 0xa35baecab2dc29ee, 0x1ce393ea5daace4d, 0x08f2220fb0fb66eb},
+		fe{0xb2f66aad4ce5d646, 0x5842a06bfc497cec, 0xcf4895d42599d394, 0xc11b9cba40a8e8d0, 0x2e3813cbe5a0de89, 0x110eefda88847faf},
+	},
+	fe2{
+		fe{0xecfb361b798dba3a, 0xc100ddb891865a2c, 0x0ec08ff1232bda8e, 0xd5c13cc6f1ca4721, 0x47222a47bf7b5c04, 0x0110f184e51c5f59},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x3e2f585da55c9ad1, 0x4294213d86c18183, 0x382844c88b623732, 0x92ad2afd19103e18, 0x1d794e4fac7cf0b9, 0x0bd592fc7d825ec8},
+		fe{0x7bcfa7a25aa30fda, 0xdc17dec12a927e7c, 0x2f088dd86b4ebef1, 0xd1ca2087da74d4a7, 0x2da2596696cebc1d, 0x0e2b7eedbbfd87d2},
+	},
+	fe2{
+		fe{0x30f1361b798a64e8, 0xf3b8ddab7ece5a2a, 0x16a8ca3ac61577f7, 0xc26a2ff874fd029b, 0x3636b76660701c6e, 0x051ba4ab241b6160},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x3726c30af242c66c, 0x7c2ac1aad1b6fe70, 0xa04007fbba4b14a2, 0xef517c3266341429, 0x0095ba654ed2226b, 0x02e370eccc86f7dd},
+		fe{0x82d83cf50dbce43f, 0xa2813e53df9d018f, 0xc6f0caa53c65e181, 0x7525cf528d50fe95, 0x4a85ed50f4798a6b, 0x171da0fd6cf8eebd},
+	},
+	fe2{
+		fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0xb2f66aad4ce5d646, 0x5842a06bfc497cec, 0xcf4895d42599d394, 0xc11b9cba40a8e8d0, 0x2e3813cbe5a0de89, 0x110eefda88847faf},
+		fe{0x07089552b319d465, 0xc6695f92b50a8313, 0x97e83cccd117228f, 0xa35baecab2dc29ee, 0x1ce393ea5daace4d, 0x08f2220fb0fb66eb},
+	},
+	fe2{
+		fe{0xcd03c9e48671f071, 0x5dab22461fcda5d2, 0x587042afd3851b95, 0x8eb60ebe01bacb9e, 0x03f97d6e83d050d2, 0x18f0206554638741},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x7bcfa7a25aa30fda, 0xdc17dec12a927e7c, 0x2f088dd86b4ebef1, 0xd1ca2087da74d4a7, 0x2da2596696cebc1d, 0x0e2b7eedbbfd87d2},
+		fe{0x3e2f585da55c9ad1, 0x4294213d86c18183, 0x382844c88b623732, 0x92ad2afd19103e18, 0x1d794e4fac7cf0b9, 0x0bd592fc7d825ec8},
+	},
+	fe2{
+		fe{0x890dc9e4867545c3, 0x2af322533285a5d5, 0x50880866309b7e2c, 0xa20d1b8c7e881024, 0x14e4f04fe2db9068, 0x14e56d3f1564853a},
+		fe{0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000},
+	},
+	fe2{
+		fe{0x82d83cf50dbce43f, 0xa2813e53df9d018f, 0xc6f0caa53c65e181, 0x7525cf528d50fe95, 0x4a85ed50f4798a6b, 0x171da0fd6cf8eebd},
+		fe{0x3726c30af242c66c, 0x7c2ac1aad1b6fe70, 0xa04007fbba4b14a2, 0xef517c3266341429, 0x0095ba654ed2226b, 0x02e370eccc86f7dd},
+	},
+}
+
+/*
+	x
+*/
+
+var x = bigFromHex("0xd201000000010000")

crypto/bls12381/bls12_381_test.go

@@ -0,0 +1,13 @@
+package bls12381
+
+import (
+	"crypto/rand"
+	"math/big"
+)
+
+var fuz int = 10
+
+func randScalar(max *big.Int) *big.Int {
+	a, _ := rand.Int(rand.Reader, max)
+	return a
+}

crypto/bls12381/field_element.go

@@ -0,0 +1,340 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"crypto/rand"
+	"encoding/hex"
+	"fmt"
+	"io"
+	"math/big"
+)
+
+// fe is base field element representation
+type fe [6]uint64
+
+// fe2 is element representation of 'fp2' which is quadratic extension of base field 'fp'
+// Representation follows c[0] + c[1] * u encoding order.
+type fe2 [2]fe
+
+// fe6 is element representation of 'fp6' field which is cubic extension of 'fp2'
+// Representation follows c[0] + c[1] * v + c[2] * v^2 encoding order.
+type fe6 [3]fe2
+
+// fe12 is element representation of 'fp12' field which is quadratic extension of 'fp6'
+// Representation follows c[0] + c[1] * w encoding order.
+type fe12 [2]fe6
+
+func (fe *fe) setBytes(in []byte) *fe {
+	size := 48
+	l := len(in)
+	if l >= size {
+		l = size
+	}
+	padded := make([]byte, size)
+	copy(padded[size-l:], in[:])
+	var a int
+	for i := 0; i < 6; i++ {
+		a = size - i*8
+		fe[i] = uint64(padded[a-1]) | uint64(padded[a-2])<<8 |
+			uint64(padded[a-3])<<16 | uint64(padded[a-4])<<24 |
+			uint64(padded[a-5])<<32 | uint64(padded[a-6])<<40 |
+			uint64(padded[a-7])<<48 | uint64(padded[a-8])<<56
+	}
+	return fe
+}
+
+func (fe *fe) setBig(a *big.Int) *fe {
+	return fe.setBytes(a.Bytes())
+}
+
+func (fe *fe) setString(s string) (*fe, error) {
+	if s[:2] == "0x" {
+		s = s[2:]
+	}
+	bytes, err := hex.DecodeString(s)
+	if err != nil {
+		return nil, err
+	}
+	return fe.setBytes(bytes), nil
+}
+
+func (fe *fe) set(fe2 *fe) *fe {
+	fe[0] = fe2[0]
+	fe[1] = fe2[1]
+	fe[2] = fe2[2]
+	fe[3] = fe2[3]
+	fe[4] = fe2[4]
+	fe[5] = fe2[5]
+	return fe
+}
+
+func (fe *fe) bytes() []byte {
+	out := make([]byte, 48)
+	var a int
+	for i := 0; i < 6; i++ {
+		a = 48 - i*8
+		out[a-1] = byte(fe[i])
+		out[a-2] = byte(fe[i] >> 8)
+		out[a-3] = byte(fe[i] >> 16)
+		out[a-4] = byte(fe[i] >> 24)
+		out[a-5] = byte(fe[i] >> 32)
+		out[a-6] = byte(fe[i] >> 40)
+		out[a-7] = byte(fe[i] >> 48)
+		out[a-8] = byte(fe[i] >> 56)
+	}
+	return out
+}
+
+func (fe *fe) big() *big.Int {
+	return new(big.Int).SetBytes(fe.bytes())
+}
+
+func (fe *fe) string() (s string) {
+	for i := 5; i >= 0; i-- {
+		s = fmt.Sprintf("%s%16.16x", s, fe[i])
+	}
+	return "0x" + s
+}
+
+func (fe *fe) zero() *fe {
+	fe[0] = 0
+	fe[1] = 0
+	fe[2] = 0
+	fe[3] = 0
+	fe[4] = 0
+	fe[5] = 0
+	return fe
+}
+
+func (fe *fe) one() *fe {
+	return fe.set(r1)
+}
+
+func (fe *fe) rand(r io.Reader) (*fe, error) {
+	bi, err := rand.Int(r, modulus.big())
+	if err != nil {
+		return nil, err
+	}
+	return fe.setBig(bi), nil
+}
+
+func (fe *fe) isValid() bool {
+	return fe.cmp(&modulus) < 0
+}
+
+func (fe *fe) isOdd() bool {
+	var mask uint64 = 1
+	return fe[0]&mask != 0
+}
+
+func (fe *fe) isEven() bool {
+	var mask uint64 = 1
+	return fe[0]&mask == 0
+}
+
+func (fe *fe) isZero() bool {
+	return (fe[5] | fe[4] | fe[3] | fe[2] | fe[1] | fe[0]) == 0
+}
+
+func (fe *fe) isOne() bool {
+	return fe.equal(r1)
+}
+
+func (fe *fe) cmp(fe2 *fe) int {
+	for i := 5; i >= 0; i-- {
+		if fe[i] > fe2[i] {
+			return 1
+		} else if fe[i] < fe2[i] {
+			return -1
+		}
+	}
+	return 0
+}
+
+func (fe *fe) equal(fe2 *fe) bool {
+	return fe2[0] == fe[0] && fe2[1] == fe[1] && fe2[2] == fe[2] && fe2[3] == fe[3] && fe2[4] == fe[4] && fe2[5] == fe[5]
+}
+
+func (e *fe) sign() bool {
+	r := new(fe)
+	fromMont(r, e)
+	return r[0]&1 == 0
+}
+
+func (fe *fe) div2(e uint64) {
+	fe[0] = fe[0]>>1 | fe[1]<<63
+	fe[1] = fe[1]>>1 | fe[2]<<63
+	fe[2] = fe[2]>>1 | fe[3]<<63
+	fe[3] = fe[3]>>1 | fe[4]<<63
+	fe[4] = fe[4]>>1 | fe[5]<<63
+	fe[5] = fe[5]>>1 | e<<63
+}
+
+func (fe *fe) mul2() uint64 {
+	e := fe[5] >> 63
+	fe[5] = fe[5]<<1 | fe[4]>>63
+	fe[4] = fe[4]<<1 | fe[3]>>63
+	fe[3] = fe[3]<<1 | fe[2]>>63
+	fe[2] = fe[2]<<1 | fe[1]>>63
+	fe[1] = fe[1]<<1 | fe[0]>>63
+	fe[0] = fe[0] << 1
+	return e
+}
+
+func (e *fe2) zero() *fe2 {
+	e[0].zero()
+	e[1].zero()
+	return e
+}
+
+func (e *fe2) one() *fe2 {
+	e[0].one()
+	e[1].zero()
+	return e
+}
+
+func (e *fe2) set(e2 *fe2) *fe2 {
+	e[0].set(&e2[0])
+	e[1].set(&e2[1])
+	return e
+}
+
+func (e *fe2) rand(r io.Reader) (*fe2, error) {
+	a0, err := new(fe).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	a1, err := new(fe).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	return &fe2{*a0, *a1}, nil
+}
+
+func (e *fe2) isOne() bool {
+	return e[0].isOne() && e[1].isZero()
+}
+
+func (e *fe2) isZero() bool {
+	return e[0].isZero() && e[1].isZero()
+}
+
+func (e *fe2) equal(e2 *fe2) bool {
+	return e[0].equal(&e2[0]) && e[1].equal(&e2[1])
+}
+
+func (e *fe2) sign() bool {
+	r := new(fe)
+	if !e[0].isZero() {
+		fromMont(r, &e[0])
+		return r[0]&1 == 0
+	}
+	fromMont(r, &e[1])
+	return r[0]&1 == 0
+}
+
+func (e *fe6) zero() *fe6 {
+	e[0].zero()
+	e[1].zero()
+	e[2].zero()
+	return e
+}
+
+func (e *fe6) one() *fe6 {
+	e[0].one()
+	e[1].zero()
+	e[2].zero()
+	return e
+}
+
+func (e *fe6) set(e2 *fe6) *fe6 {
+	e[0].set(&e2[0])
+	e[1].set(&e2[1])
+	e[2].set(&e2[2])
+	return e
+}
+
+func (e *fe6) rand(r io.Reader) (*fe6, error) {
+	a0, err := new(fe2).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	a1, err := new(fe2).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	a2, err := new(fe2).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	return &fe6{*a0, *a1, *a2}, nil
+}
+
+func (e *fe6) isOne() bool {
+	return e[0].isOne() && e[1].isZero() && e[2].isZero()
+}
+
+func (e *fe6) isZero() bool {
+	return e[0].isZero() && e[1].isZero() && e[2].isZero()
+}
+
+func (e *fe6) equal(e2 *fe6) bool {
+	return e[0].equal(&e2[0]) && e[1].equal(&e2[1]) && e[2].equal(&e2[2])
+}
+
+func (e *fe12) zero() *fe12 {
+	e[0].zero()
+	e[1].zero()
+	return e
+}
+
+func (e *fe12) one() *fe12 {
+	e[0].one()
+	e[1].zero()
+	return e
+}
+
+func (e *fe12) set(e2 *fe12) *fe12 {
+	e[0].set(&e2[0])
+	e[1].set(&e2[1])
+	return e
+}
+
+func (e *fe12) rand(r io.Reader) (*fe12, error) {
+	a0, err := new(fe6).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	a1, err := new(fe6).rand(r)
+	if err != nil {
+		return nil, err
+	}
+	return &fe12{*a0, *a1}, nil
+}
+
+func (e *fe12) isOne() bool {
+	return e[0].isOne() && e[1].isZero()
+}
+
+func (e *fe12) isZero() bool {
+	return e[0].isZero() && e[1].isZero()
+}
+
+func (e *fe12) equal(e2 *fe12) bool {
+	return e[0].equal(&e2[0]) && e[1].equal(&e2[1])
+}

crypto/bls12381/field_element_test.go

@@ -0,0 +1,251 @@
+package bls12381
+
+import (
+	"bytes"
+	"crypto/rand"
+	"math/big"
+	"testing"
+)
+
+func TestFieldElementValidation(t *testing.T) {
+	zero := new(fe).zero()
+	if !zero.isValid() {
+		t.Fatal("zero must be valid")
+	}
+	one := new(fe).one()
+	if !one.isValid() {
+		t.Fatal("one must be valid")
+	}
+	if modulus.isValid() {
+		t.Fatal("modulus must be invalid")
+	}
+	n := modulus.big()
+	n.Add(n, big.NewInt(1))
+	if new(fe).setBig(n).isValid() {
+		t.Fatal("number greater than modulus must be invalid")
+	}
+}
+
+func TestFieldElementEquality(t *testing.T) {
+	// fe
+	zero := new(fe).zero()
+	if !zero.equal(zero) {
+		t.Fatal("0 == 0")
+	}
+	one := new(fe).one()
+	if !one.equal(one) {
+		t.Fatal("1 == 1")
+	}
+	a, _ := new(fe).rand(rand.Reader)
+	if !a.equal(a) {
+		t.Fatal("a == a")
+	}
+	b := new(fe)
+	add(b, a, one)
+	if a.equal(b) {
+		t.Fatal("a != a + 1")
+	}
+	// fe2
+	zero2 := new(fe2).zero()
+	if !zero2.equal(zero2) {
+		t.Fatal("0 == 0")
+	}
+	one2 := new(fe2).one()
+	if !one2.equal(one2) {
+		t.Fatal("1 == 1")
+	}
+	a2, _ := new(fe2).rand(rand.Reader)
+	if !a2.equal(a2) {
+		t.Fatal("a == a")
+	}
+	b2 := new(fe2)
+	fp2 := newFp2()
+	fp2.add(b2, a2, one2)
+	if a2.equal(b2) {
+		t.Fatal("a != a + 1")
+	}
+	// fe6
+	zero6 := new(fe6).zero()
+	if !zero6.equal(zero6) {
+		t.Fatal("0 == 0")
+	}
+	one6 := new(fe6).one()
+	if !one6.equal(one6) {
+		t.Fatal("1 == 1")
+	}
+	a6, _ := new(fe6).rand(rand.Reader)
+	if !a6.equal(a6) {
+		t.Fatal("a == a")
+	}
+	b6 := new(fe6)
+	fp6 := newFp6(fp2)
+	fp6.add(b6, a6, one6)
+	if a6.equal(b6) {
+		t.Fatal("a != a + 1")
+	}
+	// fe12
+	zero12 := new(fe12).zero()
+	if !zero12.equal(zero12) {
+		t.Fatal("0 == 0")
+	}
+	one12 := new(fe12).one()
+	if !one12.equal(one12) {
+		t.Fatal("1 == 1")
+	}
+	a12, _ := new(fe12).rand(rand.Reader)
+	if !a12.equal(a12) {
+		t.Fatal("a == a")
+	}
+	b12 := new(fe12)
+	fp12 := newFp12(fp6)
+	fp12.add(b12, a12, one12)
+	if a12.equal(b12) {
+		t.Fatal("a != a + 1")
+	}
+
+}
+
+func TestFieldElementHelpers(t *testing.T) {
+	// fe
+	zero := new(fe).zero()
+	if !zero.isZero() {
+		t.Fatal("'zero' is not zero")
+	}
+	one := new(fe).one()
+	if !one.isOne() {
+		t.Fatal("'one' is not one")
+	}
+	odd := new(fe).setBig(big.NewInt(1))
+	if !odd.isOdd() {
+		t.Fatal("1 must be odd")
+	}
+	if odd.isEven() {
+		t.Fatal("1 must not be even")
+	}
+	even := new(fe).setBig(big.NewInt(2))
+	if !even.isEven() {
+		t.Fatal("2 must be even")
+	}
+	if even.isOdd() {
+		t.Fatal("2 must not be odd")
+	}
+	// fe2
+	zero2 := new(fe2).zero()
+	if !zero2.isZero() {
+		t.Fatal("'zero' is not zero, 2")
+	}
+	one2 := new(fe2).one()
+	if !one2.isOne() {
+		t.Fatal("'one' is not one, 2")
+	}
+	// fe6
+	zero6 := new(fe6).zero()
+	if !zero6.isZero() {
+		t.Fatal("'zero' is not zero, 6")
+	}
+	one6 := new(fe6).one()
+	if !one6.isOne() {
+		t.Fatal("'one' is not one, 6")
+	}
+	// fe12
+	zero12 := new(fe12).zero()
+	if !zero12.isZero() {
+		t.Fatal("'zero' is not zero, 12")
+	}
+	one12 := new(fe12).one()
+	if !one12.isOne() {
+		t.Fatal("'one' is not one, 12")
+	}
+}
+
+func TestFieldElementSerialization(t *testing.T) {
+	t.Run("zero", func(t *testing.T) {
+		in := make([]byte, 48)
+		fe := new(fe).setBytes(in)
+		if !fe.isZero() {
+			t.Fatal("bad serialization")
+		}
+		if !bytes.Equal(in, fe.bytes()) {
+			t.Fatal("bad serialization")
+		}
+	})
+	t.Run("bytes", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b := new(fe).setBytes(a.bytes())
+			if !a.equal(b) {
+				t.Fatal("bad serialization")
+			}
+		}
+	})
+	t.Run("big", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b := new(fe).setBig(a.big())
+			if !a.equal(b) {
+				t.Fatal("bad encoding or decoding")
+			}
+		}
+	})
+	t.Run("string", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b, err := new(fe).setString(a.string())
+			if err != nil {
+				t.Fatal(err)
+			}
+			if !a.equal(b) {
+				t.Fatal("bad encoding or decoding")
+			}
+		}
+	})
+}
+
+func TestFieldElementByteInputs(t *testing.T) {
+	zero := new(fe).zero()
+	in := make([]byte, 0)
+	a := new(fe).setBytes(in)
+	if !a.equal(zero) {
+		t.Fatal("bad serialization")
+	}
+	in = make([]byte, 48)
+	a = new(fe).setBytes(in)
+	if !a.equal(zero) {
+		t.Fatal("bad serialization")
+	}
+	in = make([]byte, 64)
+	a = new(fe).setBytes(in)
+	if !a.equal(zero) {
+		t.Fatal("bad serialization")
+	}
+	in = make([]byte, 49)
+	in[47] = 1
+	normalOne := &fe{1, 0, 0, 0, 0, 0}
+	a = new(fe).setBytes(in)
+	if !a.equal(normalOne) {
+		t.Fatal("bad serialization")
+	}
+}
+
+func TestFieldElementCopy(t *testing.T) {
+	a, _ := new(fe).rand(rand.Reader)
+	b := new(fe).set(a)
+	if !a.equal(b) {
+		t.Fatal("bad copy, 1")
+	}
+	a2, _ := new(fe2).rand(rand.Reader)
+	b2 := new(fe2).set(a2)
+	if !a2.equal(b2) {
+		t.Fatal("bad copy, 2")
+	}
+	a6, _ := new(fe6).rand(rand.Reader)
+	b6 := new(fe6).set(a6)
+	if !a6.equal(b6) {
+		t.Fatal("bad copy, 6")
+	}
+	a12, _ := new(fe12).rand(rand.Reader)
+	b12 := new(fe12).set(a12)
+	if !a12.equal(b12) {
+		t.Fatal("bad copy, 12")
+	}
+}

crypto/bls12381/fp.go

@@ -0,0 +1,167 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+)
+
+func fromBytes(in []byte) (*fe, error) {
+	fe := &fe{}
+	if len(in) != 48 {
+		return nil, errors.New("input string should be equal 48 bytes")
+	}
+	fe.setBytes(in)
+	if !fe.isValid() {
+		return nil, errors.New("must be less than modulus")
+	}
+	toMont(fe, fe)
+	return fe, nil
+}
+
+func fromBig(in *big.Int) (*fe, error) {
+	fe := new(fe).setBig(in)
+	if !fe.isValid() {
+		return nil, errors.New("invalid input string")
+	}
+	toMont(fe, fe)
+	return fe, nil
+}
+
+func fromString(in string) (*fe, error) {
+	fe, err := new(fe).setString(in)
+	if err != nil {
+		return nil, err
+	}
+	if !fe.isValid() {
+		return nil, errors.New("invalid input string")
+	}
+	toMont(fe, fe)
+	return fe, nil
+}
+
+func toBytes(e *fe) []byte {
+	e2 := new(fe)
+	fromMont(e2, e)
+	return e2.bytes()
+}
+
+func toBig(e *fe) *big.Int {
+	e2 := new(fe)
+	fromMont(e2, e)
+	return e2.big()
+}
+
+func toString(e *fe) (s string) {
+	e2 := new(fe)
+	fromMont(e2, e)
+	return e2.string()
+}
+
+func toMont(c, a *fe) {
+	mul(c, a, r2)
+}
+
+func fromMont(c, a *fe) {
+	mul(c, a, &fe{1})
+}
+
+func exp(c, a *fe, e *big.Int) {
+	z := new(fe).set(r1)
+	for i := e.BitLen(); i >= 0; i-- {
+		mul(z, z, z)
+		if e.Bit(i) == 1 {
+			mul(z, z, a)
+		}
+	}
+	c.set(z)
+}
+
+func inverse(inv, e *fe) {
+	if e.isZero() {
+		inv.zero()
+		return
+	}
+	u := new(fe).set(&modulus)
+	v := new(fe).set(e)
+	s := &fe{1}
+	r := &fe{0}
+	var k int
+	var z uint64
+	var found = false
+	// Phase 1
+	for i := 0; i < 768; i++ {
+		if v.isZero() {
+			found = true
+			break
+		}
+		if u.isEven() {
+			u.div2(0)
+			s.mul2()
+		} else if v.isEven() {
+			v.div2(0)
+			z += r.mul2()
+		} else if u.cmp(v) == 1 {
+			lsubAssign(u, v)
+			u.div2(0)
+			laddAssign(r, s)
+			s.mul2()
+		} else {
+			lsubAssign(v, u)
+			v.div2(0)
+			laddAssign(s, r)
+			z += r.mul2()
+		}
+		k += 1
+	}
+
+	if !found {
+		inv.zero()
+		return
+	}
+
+	if k < 381 || k > 381+384 {
+		inv.zero()
+		return
+	}
+
+	if r.cmp(&modulus) != -1 || z > 0 {
+		lsubAssign(r, &modulus)
+	}
+	u.set(&modulus)
+	lsubAssign(u, r)
+
+	// Phase 2
+	for i := k; i < 384*2; i++ {
+		double(u, u)
+	}
+	inv.set(u)
+}
+
+func sqrt(c, a *fe) bool {
+	u, v := new(fe).set(a), new(fe)
+	exp(c, a, pPlus1Over4)
+	square(v, c)
+	return u.equal(v)
+}
+
+func isQuadraticNonResidue(elem *fe) bool {
+	result := new(fe)
+	exp(result, elem, pMinus1Over2)
+	return !result.isOne()
+}

crypto/bls12381/fp12.go

@@ -0,0 +1,279 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+)
+
+type fp12 struct {
+	fp12temp
+	fp6 *fp6
+}
+
+type fp12temp struct {
+	t2  [9]*fe2
+	t6  [5]*fe6
+	t12 *fe12
+}
+
+func newFp12Temp() fp12temp {
+	t2 := [9]*fe2{}
+	t6 := [5]*fe6{}
+	for i := 0; i < len(t2); i++ {
+		t2[i] = &fe2{}
+	}
+	for i := 0; i < len(t6); i++ {
+		t6[i] = &fe6{}
+	}
+	return fp12temp{t2, t6, &fe12{}}
+}
+
+func newFp12(fp6 *fp6) *fp12 {
+	t := newFp12Temp()
+	if fp6 == nil {
+		return &fp12{t, newFp6(nil)}
+	}
+	return &fp12{t, fp6}
+}
+
+func (e *fp12) fp2() *fp2 {
+	return e.fp6.fp2
+}
+
+func (e *fp12) fromBytes(in []byte) (*fe12, error) {
+	if len(in) != 576 {
+		return nil, errors.New("input string should be larger than 96 bytes")
+	}
+	fp6 := e.fp6
+	c1, err := fp6.fromBytes(in[:288])
+	if err != nil {
+		return nil, err
+	}
+	c0, err := fp6.fromBytes(in[288:])
+	if err != nil {
+		return nil, err
+	}
+	return &fe12{*c0, *c1}, nil
+}
+
+func (e *fp12) toBytes(a *fe12) []byte {
+	fp6 := e.fp6
+	out := make([]byte, 576)
+	copy(out[:288], fp6.toBytes(&a[1]))
+	copy(out[288:], fp6.toBytes(&a[0]))
+	return out
+}
+
+func (e *fp12) new() *fe12 {
+	return new(fe12)
+}
+
+func (e *fp12) zero() *fe12 {
+	return new(fe12)
+}
+
+func (e *fp12) one() *fe12 {
+	return new(fe12).one()
+}
+
+func (e *fp12) add(c, a, b *fe12) {
+	fp6 := e.fp6
+	fp6.add(&c[0], &a[0], &b[0])
+	fp6.add(&c[1], &a[1], &b[1])
+
+}
+
+func (e *fp12) double(c, a *fe12) {
+	fp6 := e.fp6
+	fp6.double(&c[0], &a[0])
+	fp6.double(&c[1], &a[1])
+}
+
+func (e *fp12) sub(c, a, b *fe12) {
+	fp6 := e.fp6
+	fp6.sub(&c[0], &a[0], &b[0])
+	fp6.sub(&c[1], &a[1], &b[1])
+
+}
+
+func (e *fp12) neg(c, a *fe12) {
+	fp6 := e.fp6
+	fp6.neg(&c[0], &a[0])
+	fp6.neg(&c[1], &a[1])
+}
+
+func (e *fp12) conjugate(c, a *fe12) {
+	fp6 := e.fp6
+	c[0].set(&a[0])
+	fp6.neg(&c[1], &a[1])
+}
+
+func (e *fp12) square(c, a *fe12) {
+	fp6, t := e.fp6, e.t6
+	fp6.add(t[0], &a[0], &a[1])
+	fp6.mul(t[2], &a[0], &a[1])
+	fp6.mulByNonResidue(t[1], &a[1])
+	fp6.addAssign(t[1], &a[0])
+	fp6.mulByNonResidue(t[3], t[2])
+	fp6.mulAssign(t[0], t[1])
+	fp6.subAssign(t[0], t[2])
+	fp6.sub(&c[0], t[0], t[3])
+	fp6.double(&c[1], t[2])
+}
+
+func (e *fp12) cyclotomicSquare(c, a *fe12) {
+	t, fp2 := e.t2, e.fp2()
+	e.fp4Square(t[3], t[4], &a[0][0], &a[1][1])
+	fp2.sub(t[2], t[3], &a[0][0])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[0][0], t[2], t[3])
+	fp2.add(t[2], t[4], &a[1][1])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[1][1], t[2], t[4])
+	e.fp4Square(t[3], t[4], &a[1][0], &a[0][2])
+	e.fp4Square(t[5], t[6], &a[0][1], &a[1][2])
+	fp2.sub(t[2], t[3], &a[0][1])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[0][1], t[2], t[3])
+	fp2.add(t[2], t[4], &a[1][2])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[1][2], t[2], t[4])
+	fp2.mulByNonResidue(t[3], t[6])
+	fp2.add(t[2], t[3], &a[1][0])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[1][0], t[2], t[3])
+	fp2.sub(t[2], t[5], &a[0][2])
+	fp2.doubleAssign(t[2])
+	fp2.add(&c[0][2], t[2], t[5])
+}
+
+func (e *fp12) mul(c, a, b *fe12) {
+	t, fp6 := e.t6, e.fp6
+	fp6.mul(t[1], &a[0], &b[0])
+	fp6.mul(t[2], &a[1], &b[1])
+	fp6.add(t[0], t[1], t[2])
+	fp6.mulByNonResidue(t[2], t[2])
+	fp6.add(t[3], t[1], t[2])
+	fp6.add(t[1], &a[0], &a[1])
+	fp6.add(t[2], &b[0], &b[1])
+	fp6.mulAssign(t[1], t[2])
+	c[0].set(t[3])
+	fp6.sub(&c[1], t[1], t[0])
+}
+
+func (e *fp12) mulAssign(a, b *fe12) {
+	t, fp6 := e.t6, e.fp6
+	fp6.mul(t[1], &a[0], &b[0])
+	fp6.mul(t[2], &a[1], &b[1])
+	fp6.add(t[0], t[1], t[2])
+	fp6.mulByNonResidue(t[2], t[2])
+	fp6.add(t[3], t[1], t[2])
+	fp6.add(t[1], &a[0], &a[1])
+	fp6.add(t[2], &b[0], &b[1])
+	fp6.mulAssign(t[1], t[2])
+	a[0].set(t[3])
+	fp6.sub(&a[1], t[1], t[0])
+}
+
+func (e *fp12) fp4Square(c0, c1, a0, a1 *fe2) {
+	t, fp2 := e.t2, e.fp2()
+	fp2.square(t[0], a0)
+	fp2.square(t[1], a1)
+	fp2.mulByNonResidue(t[2], t[1])
+	fp2.add(c0, t[2], t[0])
+	fp2.add(t[2], a0, a1)
+	fp2.squareAssign(t[2])
+	fp2.subAssign(t[2], t[0])
+	fp2.sub(c1, t[2], t[1])
+}
+
+func (e *fp12) inverse(c, a *fe12) {
+	fp6, t := e.fp6, e.t6
+	fp6.square(t[0], &a[0])
+	fp6.square(t[1], &a[1])
+	fp6.mulByNonResidue(t[1], t[1])
+	fp6.sub(t[1], t[0], t[1])
+	fp6.inverse(t[0], t[1])
+	fp6.mul(&c[0], &a[0], t[0])
+	fp6.mulAssign(t[0], &a[1])
+	fp6.neg(&c[1], t[0])
+}
+
+func (e *fp12) mulBy014Assign(a *fe12, c0, c1, c4 *fe2) {
+	fp2, fp6, t, t2 := e.fp2(), e.fp6, e.t6, e.t2[0]
+	fp6.mulBy01(t[0], &a[0], c0, c1)
+	fp6.mulBy1(t[1], &a[1], c4)
+	fp2.add(t2, c1, c4)
+	fp6.add(t[2], &a[1], &a[0])
+	fp6.mulBy01Assign(t[2], c0, t2)
+	fp6.subAssign(t[2], t[0])
+	fp6.sub(&a[1], t[2], t[1])
+	fp6.mulByNonResidue(t[1], t[1])
+	fp6.add(&a[0], t[1], t[0])
+}
+
+func (e *fp12) exp(c, a *fe12, s *big.Int) {
+	z := e.one()
+	for i := s.BitLen() - 1; i >= 0; i-- {
+		e.square(z, z)
+		if s.Bit(i) == 1 {
+			e.mul(z, z, a)
+		}
+	}
+	c.set(z)
+}
+
+func (e *fp12) cyclotomicExp(c, a *fe12, s *big.Int) {
+	z := e.one()
+	for i := s.BitLen() - 1; i >= 0; i-- {
+		e.cyclotomicSquare(z, z)
+		if s.Bit(i) == 1 {
+			e.mul(z, z, a)
+		}
+	}
+	c.set(z)
+}
+
+func (e *fp12) frobeniusMap(c, a *fe12, power uint) {
+	fp6 := e.fp6
+	fp6.frobeniusMap(&c[0], &a[0], power)
+	fp6.frobeniusMap(&c[1], &a[1], power)
+	switch power {
+	case 0:
+		return
+	case 6:
+		fp6.neg(&c[1], &c[1])
+	default:
+		fp6.mulByBaseField(&c[1], &c[1], &frobeniusCoeffs12[power])
+	}
+}
+
+func (e *fp12) frobeniusMapAssign(a *fe12, power uint) {
+	fp6 := e.fp6
+	fp6.frobeniusMapAssign(&a[0], power)
+	fp6.frobeniusMapAssign(&a[1], power)
+	switch power {
+	case 0:
+		return
+	case 6:
+		fp6.neg(&a[1], &a[1])
+	default:
+		fp6.mulByBaseField(&a[1], &a[1], &frobeniusCoeffs12[power])
+	}
+}

crypto/bls12381/fp2.go

@@ -0,0 +1,252 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+)
+
+type fp2Temp struct {
+	t [4]*fe
+}
+
+type fp2 struct {
+	fp2Temp
+}
+
+func newFp2Temp() fp2Temp {
+	t := [4]*fe{}
+	for i := 0; i < len(t); i++ {
+		t[i] = &fe{}
+	}
+	return fp2Temp{t}
+}
+
+func newFp2() *fp2 {
+	t := newFp2Temp()
+	return &fp2{t}
+}
+
+func (e *fp2) fromBytes(in []byte) (*fe2, error) {
+	if len(in) != 96 {
+		return nil, errors.New("input string should be larger than 96 bytes")
+	}
+	c1, err := fromBytes(in[:48])
+	if err != nil {
+		return nil, err
+	}
+	c0, err := fromBytes(in[48:])
+	if err != nil {
+		return nil, err
+	}
+	return &fe2{*c0, *c1}, nil
+}
+
+func (e *fp2) toBytes(a *fe2) []byte {
+	out := make([]byte, 96)
+	copy(out[:48], toBytes(&a[1]))
+	copy(out[48:], toBytes(&a[0]))
+	return out
+}
+
+func (e *fp2) new() *fe2 {
+	return new(fe2).zero()
+}
+
+func (e *fp2) zero() *fe2 {
+	return new(fe2).zero()
+}
+
+func (e *fp2) one() *fe2 {
+	return new(fe2).one()
+}
+
+func (e *fp2) add(c, a, b *fe2) {
+	add(&c[0], &a[0], &b[0])
+	add(&c[1], &a[1], &b[1])
+}
+
+func (e *fp2) addAssign(a, b *fe2) {
+	addAssign(&a[0], &b[0])
+	addAssign(&a[1], &b[1])
+}
+
+func (e *fp2) ladd(c, a, b *fe2) {
+	ladd(&c[0], &a[0], &b[0])
+	ladd(&c[1], &a[1], &b[1])
+}
+
+func (e *fp2) double(c, a *fe2) {
+	double(&c[0], &a[0])
+	double(&c[1], &a[1])
+}
+
+func (e *fp2) doubleAssign(a *fe2) {
+	doubleAssign(&a[0])
+	doubleAssign(&a[1])
+}
+
+func (e *fp2) ldouble(c, a *fe2) {
+	ldouble(&c[0], &a[0])
+	ldouble(&c[1], &a[1])
+}
+
+func (e *fp2) sub(c, a, b *fe2) {
+	sub(&c[0], &a[0], &b[0])
+	sub(&c[1], &a[1], &b[1])
+}
+
+func (e *fp2) subAssign(c, a *fe2) {
+	subAssign(&c[0], &a[0])
+	subAssign(&c[1], &a[1])
+}
+
+func (e *fp2) neg(c, a *fe2) {
+	neg(&c[0], &a[0])
+	neg(&c[1], &a[1])
+}
+
+func (e *fp2) mul(c, a, b *fe2) {
+	t := e.t
+	mul(t[1], &a[0], &b[0])
+	mul(t[2], &a[1], &b[1])
+	add(t[0], &a[0], &a[1])
+	add(t[3], &b[0], &b[1])
+	sub(&c[0], t[1], t[2])
+	addAssign(t[1], t[2])
+	mul(t[0], t[0], t[3])
+	sub(&c[1], t[0], t[1])
+}
+
+func (e *fp2) mulAssign(a, b *fe2) {
+	t := e.t
+	mul(t[1], &a[0], &b[0])
+	mul(t[2], &a[1], &b[1])
+	add(t[0], &a[0], &a[1])
+	add(t[3], &b[0], &b[1])
+	sub(&a[0], t[1], t[2])
+	addAssign(t[1], t[2])
+	mul(t[0], t[0], t[3])
+	sub(&a[1], t[0], t[1])
+}
+
+func (e *fp2) square(c, a *fe2) {
+	t := e.t
+	ladd(t[0], &a[0], &a[1])
+	sub(t[1], &a[0], &a[1])
+	ldouble(t[2], &a[0])
+	mul(&c[0], t[0], t[1])
+	mul(&c[1], t[2], &a[1])
+}
+
+func (e *fp2) squareAssign(a *fe2) {
+	t := e.t
+	ladd(t[0], &a[0], &a[1])
+	sub(t[1], &a[0], &a[1])
+	ldouble(t[2], &a[0])
+	mul(&a[0], t[0], t[1])
+	mul(&a[1], t[2], &a[1])
+}
+
+func (e *fp2) mulByNonResidue(c, a *fe2) {
+	t := e.t
+	sub(t[0], &a[0], &a[1])
+	add(&c[1], &a[0], &a[1])
+	c[0].set(t[0])
+}
+
+func (e *fp2) mulByB(c, a *fe2) {
+	t := e.t
+	double(t[0], &a[0])
+	double(t[1], &a[1])
+	doubleAssign(t[0])
+	doubleAssign(t[1])
+	sub(&c[0], t[0], t[1])
+	add(&c[1], t[0], t[1])
+}
+
+func (e *fp2) inverse(c, a *fe2) {
+	t := e.t
+	square(t[0], &a[0])
+	square(t[1], &a[1])
+	addAssign(t[0], t[1])
+	inverse(t[0], t[0])
+	mul(&c[0], &a[0], t[0])
+	mul(t[0], t[0], &a[1])
+	neg(&c[1], t[0])
+}
+
+func (e *fp2) mulByFq(c, a *fe2, b *fe) {
+	mul(&c[0], &a[0], b)
+	mul(&c[1], &a[1], b)
+}
+
+func (e *fp2) exp(c, a *fe2, s *big.Int) {
+	z := e.one()
+	for i := s.BitLen() - 1; i >= 0; i-- {
+		e.square(z, z)
+		if s.Bit(i) == 1 {
+			e.mul(z, z, a)
+		}
+	}
+	c.set(z)
+}
+
+func (e *fp2) frobeniousMap(c, a *fe2, power uint) {
+	c[0].set(&a[0])
+	if power%2 == 1 {
+		neg(&c[1], &a[1])
+		return
+	}
+	c[1].set(&a[1])
+}
+
+func (e *fp2) frobeniousMapAssign(a *fe2, power uint) {
+	if power%2 == 1 {
+		neg(&a[1], &a[1])
+		return
+	}
+}
+
+func (e *fp2) sqrt(c, a *fe2) bool {
+	u, x0, a1, alpha := &fe2{}, &fe2{}, &fe2{}, &fe2{}
+	u.set(a)
+	e.exp(a1, a, pMinus3Over4)
+	e.square(alpha, a1)
+	e.mul(alpha, alpha, a)
+	e.mul(x0, a1, a)
+	if alpha.equal(negativeOne2) {
+		neg(&c[0], &x0[1])
+		c[1].set(&x0[0])
+		return true
+	}
+	e.add(alpha, alpha, e.one())
+	e.exp(alpha, alpha, pMinus1Over2)
+	e.mul(c, alpha, x0)
+	e.square(alpha, c)
+	return alpha.equal(u)
+}
+
+func (e *fp2) isQuadraticNonResidue(a *fe2) bool {
+	// https://github.com/leovt/constructible/wiki/Taking-Square-Roots-in-quadratic-extension-Fields
+	c0, c1 := new(fe), new(fe)
+	square(c0, &a[0])
+	square(c1, &a[1])
+	add(c1, c1, c0)
+	return isQuadraticNonResidue(c1)
+}

crypto/bls12381/fp6.go

@@ -0,0 +1,351 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+)
+
+type fp6Temp struct {
+	t [6]*fe2
+}
+
+type fp6 struct {
+	fp2 *fp2
+	fp6Temp
+}
+
+func newFp6Temp() fp6Temp {
+	t := [6]*fe2{}
+	for i := 0; i < len(t); i++ {
+		t[i] = &fe2{}
+	}
+	return fp6Temp{t}
+}
+
+func newFp6(f *fp2) *fp6 {
+	t := newFp6Temp()
+	if f == nil {
+		return &fp6{newFp2(), t}
+	}
+	return &fp6{f, t}
+}
+
+func (e *fp6) fromBytes(b []byte) (*fe6, error) {
+	if len(b) < 288 {
+		return nil, errors.New("input string should be larger than 288 bytes")
+	}
+	fp2 := e.fp2
+	u2, err := fp2.fromBytes(b[:96])
+	if err != nil {
+		return nil, err
+	}
+	u1, err := fp2.fromBytes(b[96:192])
+	if err != nil {
+		return nil, err
+	}
+	u0, err := fp2.fromBytes(b[192:])
+	if err != nil {
+		return nil, err
+	}
+	return &fe6{*u0, *u1, *u2}, nil
+}
+
+func (e *fp6) toBytes(a *fe6) []byte {
+	fp2 := e.fp2
+	out := make([]byte, 288)
+	copy(out[:96], fp2.toBytes(&a[2]))
+	copy(out[96:192], fp2.toBytes(&a[1]))
+	copy(out[192:], fp2.toBytes(&a[0]))
+	return out
+}
+
+func (e *fp6) new() *fe6 {
+	return new(fe6)
+}
+
+func (e *fp6) zero() *fe6 {
+	return new(fe6)
+}
+
+func (e *fp6) one() *fe6 {
+	return new(fe6).one()
+}
+
+func (e *fp6) add(c, a, b *fe6) {
+	fp2 := e.fp2
+	fp2.add(&c[0], &a[0], &b[0])
+	fp2.add(&c[1], &a[1], &b[1])
+	fp2.add(&c[2], &a[2], &b[2])
+}
+
+func (e *fp6) addAssign(a, b *fe6) {
+	fp2 := e.fp2
+	fp2.addAssign(&a[0], &b[0])
+	fp2.addAssign(&a[1], &b[1])
+	fp2.addAssign(&a[2], &b[2])
+}
+
+func (e *fp6) double(c, a *fe6) {
+	fp2 := e.fp2
+	fp2.double(&c[0], &a[0])
+	fp2.double(&c[1], &a[1])
+	fp2.double(&c[2], &a[2])
+}
+
+func (e *fp6) doubleAssign(a *fe6) {
+	fp2 := e.fp2
+	fp2.doubleAssign(&a[0])
+	fp2.doubleAssign(&a[1])
+	fp2.doubleAssign(&a[2])
+}
+
+func (e *fp6) sub(c, a, b *fe6) {
+	fp2 := e.fp2
+	fp2.sub(&c[0], &a[0], &b[0])
+	fp2.sub(&c[1], &a[1], &b[1])
+	fp2.sub(&c[2], &a[2], &b[2])
+}
+
+func (e *fp6) subAssign(a, b *fe6) {
+	fp2 := e.fp2
+	fp2.subAssign(&a[0], &b[0])
+	fp2.subAssign(&a[1], &b[1])
+	fp2.subAssign(&a[2], &b[2])
+}
+
+func (e *fp6) neg(c, a *fe6) {
+	fp2 := e.fp2
+	fp2.neg(&c[0], &a[0])
+	fp2.neg(&c[1], &a[1])
+	fp2.neg(&c[2], &a[2])
+}
+
+func (e *fp6) mul(c, a, b *fe6) {
+	fp2, t := e.fp2, e.t
+	fp2.mul(t[0], &a[0], &b[0])
+	fp2.mul(t[1], &a[1], &b[1])
+	fp2.mul(t[2], &a[2], &b[2])
+	fp2.add(t[3], &a[1], &a[2])
+	fp2.add(t[4], &b[1], &b[2])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[1], t[2])
+	fp2.subAssign(t[3], t[4])
+	fp2.mulByNonResidue(t[3], t[3])
+	fp2.add(t[5], t[0], t[3])
+	fp2.add(t[3], &a[0], &a[1])
+	fp2.add(t[4], &b[0], &b[1])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[0], t[1])
+	fp2.subAssign(t[3], t[4])
+	fp2.mulByNonResidue(t[4], t[2])
+	fp2.add(&c[1], t[3], t[4])
+	fp2.add(t[3], &a[0], &a[2])
+	fp2.add(t[4], &b[0], &b[2])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[0], t[2])
+	fp2.subAssign(t[3], t[4])
+	fp2.add(&c[2], t[1], t[3])
+	c[0].set(t[5])
+}
+
+func (e *fp6) mulAssign(a, b *fe6) {
+	fp2, t := e.fp2, e.t
+	fp2.mul(t[0], &a[0], &b[0])
+	fp2.mul(t[1], &a[1], &b[1])
+	fp2.mul(t[2], &a[2], &b[2])
+	fp2.add(t[3], &a[1], &a[2])
+	fp2.add(t[4], &b[1], &b[2])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[1], t[2])
+	fp2.subAssign(t[3], t[4])
+	fp2.mulByNonResidue(t[3], t[3])
+	fp2.add(t[5], t[0], t[3])
+	fp2.add(t[3], &a[0], &a[1])
+	fp2.add(t[4], &b[0], &b[1])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[0], t[1])
+	fp2.subAssign(t[3], t[4])
+	fp2.mulByNonResidue(t[4], t[2])
+	fp2.add(&a[1], t[3], t[4])
+	fp2.add(t[3], &a[0], &a[2])
+	fp2.add(t[4], &b[0], &b[2])
+	fp2.mulAssign(t[3], t[4])
+	fp2.add(t[4], t[0], t[2])
+	fp2.subAssign(t[3], t[4])
+	fp2.add(&a[2], t[1], t[3])
+	a[0].set(t[5])
+}
+
+func (e *fp6) square(c, a *fe6) {
+	fp2, t := e.fp2, e.t
+	fp2.square(t[0], &a[0])
+	fp2.mul(t[1], &a[0], &a[1])
+	fp2.doubleAssign(t[1])
+	fp2.sub(t[2], &a[0], &a[1])
+	fp2.addAssign(t[2], &a[2])
+	fp2.squareAssign(t[2])
+	fp2.mul(t[3], &a[1], &a[2])
+	fp2.doubleAssign(t[3])
+	fp2.square(t[4], &a[2])
+	fp2.mulByNonResidue(t[5], t[3])
+	fp2.add(&c[0], t[0], t[5])
+	fp2.mulByNonResidue(t[5], t[4])
+	fp2.add(&c[1], t[1], t[5])
+	fp2.addAssign(t[1], t[2])
+	fp2.addAssign(t[1], t[3])
+	fp2.addAssign(t[0], t[4])
+	fp2.sub(&c[2], t[1], t[0])
+}
+
+func (e *fp6) mulBy01Assign(a *fe6, b0, b1 *fe2) {
+	fp2, t := e.fp2, e.t
+	fp2.mul(t[0], &a[0], b0)
+	fp2.mul(t[1], &a[1], b1)
+	fp2.add(t[5], &a[1], &a[2])
+	fp2.mul(t[2], b1, t[5])
+	fp2.subAssign(t[2], t[1])
+	fp2.mulByNonResidue(t[2], t[2])
+	fp2.add(t[5], &a[0], &a[2])
+	fp2.mul(t[3], b0, t[5])
+	fp2.subAssign(t[3], t[0])
+	fp2.add(&a[2], t[3], t[1])
+	fp2.add(t[4], b0, b1)
+	fp2.add(t[5], &a[0], &a[1])
+	fp2.mulAssign(t[4], t[5])
+	fp2.subAssign(t[4], t[0])
+	fp2.sub(&a[1], t[4], t[1])
+	fp2.add(&a[0], t[2], t[0])
+}
+
+func (e *fp6) mulBy01(c, a *fe6, b0, b1 *fe2) {
+	fp2, t := e.fp2, e.t
+	fp2.mul(t[0], &a[0], b0)
+	fp2.mul(t[1], &a[1], b1)
+	fp2.add(t[2], &a[1], &a[2])
+	fp2.mulAssign(t[2], b1)
+	fp2.subAssign(t[2], t[1])
+	fp2.mulByNonResidue(t[2], t[2])
+	fp2.add(t[3], &a[0], &a[2])
+	fp2.mulAssign(t[3], b0)
+	fp2.subAssign(t[3], t[0])
+	fp2.add(&c[2], t[3], t[1])
+	fp2.add(t[4], b0, b1)
+	fp2.add(t[3], &a[0], &a[1])
+	fp2.mulAssign(t[4], t[3])
+	fp2.subAssign(t[4], t[0])
+	fp2.sub(&c[1], t[4], t[1])
+	fp2.add(&c[0], t[2], t[0])
+}
+
+func (e *fp6) mulBy1(c, a *fe6, b1 *fe2) {
+	fp2, t := e.fp2, e.t
+	fp2.mul(t[0], &a[2], b1)
+	fp2.mul(&c[2], &a[1], b1)
+	fp2.mul(&c[1], &a[0], b1)
+	fp2.mulByNonResidue(&c[0], t[0])
+}
+
+func (e *fp6) mulByNonResidue(c, a *fe6) {
+	fp2, t := e.fp2, e.t
+	t[0].set(&a[0])
+	fp2.mulByNonResidue(&c[0], &a[2])
+	c[2].set(&a[1])
+	c[1].set(t[0])
+}
+
+func (e *fp6) mulByBaseField(c, a *fe6, b *fe2) {
+	fp2 := e.fp2
+	fp2.mul(&c[0], &a[0], b)
+	fp2.mul(&c[1], &a[1], b)
+	fp2.mul(&c[2], &a[2], b)
+}
+
+func (e *fp6) exp(c, a *fe6, s *big.Int) {
+	z := e.one()
+	for i := s.BitLen() - 1; i >= 0; i-- {
+		e.square(z, z)
+		if s.Bit(i) == 1 {
+			e.mul(z, z, a)
+		}
+	}
+	c.set(z)
+}
+
+func (e *fp6) inverse(c, a *fe6) {
+	fp2, t := e.fp2, e.t
+	fp2.square(t[0], &a[0])
+	fp2.mul(t[1], &a[1], &a[2])
+	fp2.mulByNonResidue(t[1], t[1])
+	fp2.subAssign(t[0], t[1])
+	fp2.square(t[1], &a[1])
+	fp2.mul(t[2], &a[0], &a[2])
+	fp2.subAssign(t[1], t[2])
+	fp2.square(t[2], &a[2])
+	fp2.mulByNonResidue(t[2], t[2])
+	fp2.mul(t[3], &a[0], &a[1])
+	fp2.subAssign(t[2], t[3])
+	fp2.mul(t[3], &a[2], t[2])
+	fp2.mul(t[4], &a[1], t[1])
+	fp2.addAssign(t[3], t[4])
+	fp2.mulByNonResidue(t[3], t[3])
+	fp2.mul(t[4], &a[0], t[0])
+	fp2.addAssign(t[3], t[4])
+	fp2.inverse(t[3], t[3])
+	fp2.mul(&c[0], t[0], t[3])
+	fp2.mul(&c[1], t[2], t[3])
+	fp2.mul(&c[2], t[1], t[3])
+}
+
+func (e *fp6) frobeniusMap(c, a *fe6, power uint) {
+	fp2 := e.fp2
+	fp2.frobeniousMap(&c[0], &a[0], power)
+	fp2.frobeniousMap(&c[1], &a[1], power)
+	fp2.frobeniousMap(&c[2], &a[2], power)
+	switch power % 6 {
+	case 0:
+		return
+	case 3:
+		neg(&c[0][0], &a[1][1])
+		c[1][1].set(&a[1][0])
+		fp2.neg(&a[2], &a[2])
+	default:
+		fp2.mul(&c[1], &c[1], &frobeniusCoeffs61[power%6])
+		fp2.mul(&c[2], &c[2], &frobeniusCoeffs62[power%6])
+	}
+}
+
+func (e *fp6) frobeniusMapAssign(a *fe6, power uint) {
+	fp2 := e.fp2
+	fp2.frobeniousMapAssign(&a[0], power)
+	fp2.frobeniousMapAssign(&a[1], power)
+	fp2.frobeniousMapAssign(&a[2], power)
+	t := e.t
+	switch power % 6 {
+	case 0:
+		return
+	case 3:
+		neg(&t[0][0], &a[1][1])
+		a[1][1].set(&a[1][0])
+		a[1][0].set(&t[0][0])
+		fp2.neg(&a[2], &a[2])
+	default:
+		fp2.mulAssign(&a[1], &frobeniusCoeffs61[power%6])
+		fp2.mulAssign(&a[2], &frobeniusCoeffs62[power%6])
+	}
+}

crypto/bls12381/fp_test.go

@@ -0,0 +1,1403 @@
+package bls12381
+
+import (
+	"bytes"
+	"crypto/rand"
+	"math/big"
+	"testing"
+)
+
+func TestFpSerialization(t *testing.T) {
+	t.Run("zero", func(t *testing.T) {
+		in := make([]byte, 48)
+		fe, err := fromBytes(in)
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !fe.isZero() {
+			t.Fatal("bad serialization")
+		}
+		if !bytes.Equal(in, toBytes(fe)) {
+			t.Fatal("bad serialization")
+		}
+	})
+	t.Run("bytes", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b, err := fromBytes(toBytes(a))
+			if err != nil {
+				t.Fatal(err)
+			}
+			if !a.equal(b) {
+				t.Fatal("bad serialization")
+			}
+		}
+	})
+	t.Run("string", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b, err := fromString(toString(a))
+			if err != nil {
+				t.Fatal(err)
+			}
+			if !a.equal(b) {
+				t.Fatal("bad encoding or decoding")
+			}
+		}
+	})
+	t.Run("big", func(t *testing.T) {
+		for i := 0; i < fuz; i++ {
+			a, _ := new(fe).rand(rand.Reader)
+			b, err := fromBig(toBig(a))
+			if err != nil {
+				t.Fatal(err)
+			}
+			if !a.equal(b) {
+				t.Fatal("bad encoding or decoding")
+			}
+		}
+	})
+}
+
+func TestFpAdditionCrossAgainstBigInt(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		c := new(fe)
+		big_a := toBig(a)
+		big_b := toBig(b)
+		big_c := new(big.Int)
+		add(c, a, b)
+		out_1 := toBytes(c)
+		out_2 := padBytes(big_c.Add(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied A")
+		}
+		double(c, a)
+		out_1 = toBytes(c)
+		out_2 = padBytes(big_c.Add(big_a, big_a).Mod(big_c, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied B")
+		}
+		sub(c, a, b)
+		out_1 = toBytes(c)
+		out_2 = padBytes(big_c.Sub(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied C")
+		}
+		neg(c, a)
+		out_1 = toBytes(c)
+		out_2 = padBytes(big_c.Neg(big_a).Mod(big_c, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied D")
+		}
+	}
+}
+
+func TestFpAdditionCrossAgainstBigIntAssigned(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		big_a, big_b := toBig(a), toBig(b)
+		addAssign(a, b)
+		out_1 := toBytes(a)
+		out_2 := padBytes(big_a.Add(big_a, big_b).Mod(big_a, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied A")
+		}
+		a, _ = new(fe).rand(rand.Reader)
+		big_a = toBig(a)
+		doubleAssign(a)
+		out_1 = toBytes(a)
+		out_2 = padBytes(big_a.Add(big_a, big_a).Mod(big_a, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied B")
+		}
+		a, _ = new(fe).rand(rand.Reader)
+		b, _ = new(fe).rand(rand.Reader)
+		big_a, big_b = toBig(a), toBig(b)
+		subAssign(a, b)
+		out_1 = toBytes(a)
+		out_2 = padBytes(big_a.Sub(big_a, big_b).Mod(big_a, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied A")
+		}
+	}
+}
+
+func TestFpAdditionProperties(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		zero := new(fe).zero()
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		c_1, c_2 := new(fe), new(fe)
+		add(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a + 0 == a")
+		}
+		sub(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a - 0 == a")
+		}
+		double(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		neg(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("-0 == 0")
+		}
+		sub(c_1, zero, a)
+		neg(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("0-a == -a")
+		}
+		double(c_1, a)
+		add(c_2, a, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("2 * a == a + a")
+		}
+		add(c_1, a, b)
+		add(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		sub(c_1, a, b)
+		sub(c_2, b, a)
+		neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		c_x, _ := new(fe).rand(rand.Reader)
+		add(c_1, a, b)
+		add(c_1, c_1, c_x)
+		add(c_2, a, c_x)
+		add(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		sub(c_1, a, b)
+		sub(c_1, c_1, c_x)
+		sub(c_2, a, c_x)
+		sub(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a - b) - c == (a - c ) -b")
+		}
+	}
+}
+
+func TestFpAdditionPropertiesAssigned(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		zero := new(fe).zero()
+		a, b := new(fe), new(fe)
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		addAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a + 0 == a")
+		}
+		subAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a - 0 == a")
+		}
+		a.set(zero)
+		doubleAssign(a)
+		if !a.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		a.set(zero)
+		subAssign(a, b)
+		neg(b, b)
+		if !a.equal(b) {
+			t.Fatal("0-a == -a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		doubleAssign(a)
+		addAssign(b, b)
+		if !a.equal(b) {
+			t.Fatal("2 * a == a + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1, c_2 := new(fe).set(a), new(fe).set(b)
+		addAssign(c_1, b)
+		addAssign(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1.set(a)
+		c_2.set(b)
+		subAssign(c_1, b)
+		subAssign(c_2, a)
+		neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c, _ := new(fe).rand(rand.Reader)
+		a0 := new(fe).set(a)
+		addAssign(a, b)
+		addAssign(a, c)
+		addAssign(b, c)
+		addAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("(a + b) + c == (b + c) + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		_, _ = c.rand(rand.Reader)
+		a0.set(a)
+		subAssign(a, b)
+		subAssign(a, c)
+		subAssign(a0, c)
+		subAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a - b) - c == (a - c) -b")
+		}
+	}
+}
+
+func TestFpLazyOperations(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		c, _ := new(fe).rand(rand.Reader)
+		c0 := new(fe)
+		c1 := new(fe)
+		ladd(c0, a, b)
+		add(c1, a, b)
+		mul(c0, c0, c)
+		mul(c1, c1, c)
+		if !c0.equal(c1) {
+			// l+ operator stands for lazy addition
+			t.Fatal("(a + b) * c == (a l+ b) * c")
+		}
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		ldouble(a, a)
+		ladd(b, b, b)
+		if !a.equal(b) {
+			t.Fatal("2 l* a = a l+ a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		_, _ = c.rand(rand.Reader)
+		a0 := new(fe).set(a)
+		lsubAssign(a, b)
+		laddAssign(a, &modulus)
+		mul(a, a, c)
+		subAssign(a0, b)
+		mul(a0, a0, c)
+		if !a.equal(a0) {
+			t.Fatal("((a l- b) + p) * c = (a-b) * c")
+		}
+	}
+}
+
+func TestFpMultiplicationCrossAgainstBigInt(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		c := new(fe)
+		big_a := toBig(a)
+		big_b := toBig(b)
+		big_c := new(big.Int)
+		mul(c, a, b)
+		out_1 := toBytes(c)
+		out_2 := padBytes(big_c.Mul(big_a, big_b).Mod(big_c, modulus.big()).Bytes(), 48)
+		if !bytes.Equal(out_1, out_2) {
+			t.Fatal("cross test against big.Int is not satisfied")
+		}
+	}
+}
+
+func TestFpMultiplicationProperties(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		b, _ := new(fe).rand(rand.Reader)
+		zero, one := new(fe).zero(), new(fe).one()
+		c_1, c_2 := new(fe), new(fe)
+		mul(c_1, a, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		mul(c_1, a, one)
+		if !c_1.equal(a) {
+			t.Fatal("a * 1 == a")
+		}
+		mul(c_1, a, b)
+		mul(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a * b == b * a")
+		}
+		c_x, _ := new(fe).rand(rand.Reader)
+		mul(c_1, a, b)
+		mul(c_1, c_1, c_x)
+		mul(c_2, c_x, b)
+		mul(c_2, c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+		square(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("0^2 == 0")
+		}
+		square(a, one)
+		if !a.equal(one) {
+			t.Fatal("1^2 == 1")
+		}
+		_, _ = a.rand(rand.Reader)
+		square(c_1, a)
+		mul(c_2, a, a)
+		if !c_1.equal(c_1) {
+			t.Fatal("a^2 == a*a")
+		}
+	}
+}
+
+func TestFpExponentiation(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		u := new(fe)
+		exp(u, a, big.NewInt(0))
+		if !u.isOne() {
+			t.Fatal("a^0 == 1")
+		}
+		exp(u, a, big.NewInt(1))
+		if !u.equal(a) {
+			t.Fatal("a^1 == a")
+		}
+		v := new(fe)
+		mul(u, a, a)
+		mul(u, u, u)
+		mul(u, u, u)
+		exp(v, a, big.NewInt(8))
+		if !u.equal(v) {
+			t.Fatal("((a^2)^2)^2 == a^8")
+		}
+		p := modulus.big()
+		exp(u, a, p)
+		if !u.equal(a) {
+			t.Fatal("a^p == a")
+		}
+		exp(u, a, p.Sub(p, big.NewInt(1)))
+		if !u.isOne() {
+			t.Fatal("a^(p-1) == 1")
+		}
+	}
+}
+
+func TestFpInversion(t *testing.T) {
+	for i := 0; i < fuz; i++ {
+		u := new(fe)
+		zero, one := new(fe).zero(), new(fe).one()
+		inverse(u, zero)
+		if !u.equal(zero) {
+			t.Fatal("(0^-1) == 0)")
+		}
+		inverse(u, one)
+		if !u.equal(one) {
+			t.Fatal("(1^-1) == 1)")
+		}
+		a, _ := new(fe).rand(rand.Reader)
+		inverse(u, a)
+		mul(u, u, a)
+		if !u.equal(one) {
+			t.Fatal("(r*a) * r*(a^-1) == r)")
+		}
+		v := new(fe)
+		p := modulus.big()
+		exp(u, a, p.Sub(p, big.NewInt(2)))
+		inverse(v, a)
+		if !v.equal(u) {
+			t.Fatal("a^(p-2) == a^-1")
+		}
+	}
+}
+
+func TestFpSquareRoot(t *testing.T) {
+	r := new(fe)
+	if sqrt(r, nonResidue1) {
+		t.Fatal("non residue cannot have a sqrt")
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		aa, rr, r := &fe{}, &fe{}, &fe{}
+		square(aa, a)
+		if !sqrt(r, aa) {
+			t.Fatal("bad sqrt 1")
+		}
+		square(rr, r)
+		if !rr.equal(aa) {
+			t.Fatal("bad sqrt 2")
+		}
+	}
+}
+
+func TestFpNonResidue(t *testing.T) {
+	if !isQuadraticNonResidue(nonResidue1) {
+		t.Fatal("element is quadratic non residue, 1")
+	}
+	if isQuadraticNonResidue(new(fe).one()) {
+		t.Fatal("one is not quadratic non residue")
+	}
+	if !isQuadraticNonResidue(new(fe).zero()) {
+		t.Fatal("should accept zero as quadratic non residue")
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		square(a, a)
+		if isQuadraticNonResidue(new(fe).one()) {
+			t.Fatal("element is not quadratic non residue")
+		}
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe).rand(rand.Reader)
+		if !sqrt(new(fe), a) {
+			if !isQuadraticNonResidue(a) {
+				t.Fatal("element is quadratic non residue, 2", i)
+			}
+		} else {
+			i -= 1
+		}
+	}
+
+}
+
+func TestFp2Serialization(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		b, err := field.fromBytes(field.toBytes(a))
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !a.equal(b) {
+			t.Fatal("bad serialization")
+		}
+	}
+}
+
+func TestFp2AdditionProperties(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		zero := field.zero()
+		a, _ := new(fe2).rand(rand.Reader)
+		b, _ := new(fe2).rand(rand.Reader)
+		c_1 := field.new()
+		c_2 := field.new()
+		field.add(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a + 0 == a")
+		}
+		field.sub(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a - 0 == a")
+		}
+		field.double(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		field.neg(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("-0 == 0")
+		}
+		field.sub(c_1, zero, a)
+		field.neg(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("0-a == -a")
+		}
+		field.double(c_1, a)
+		field.add(c_2, a, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("2 * a == a + a")
+		}
+		field.add(c_1, a, b)
+		field.add(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_2, b, a)
+		field.neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		c_x, _ := new(fe2).rand(rand.Reader)
+		field.add(c_1, a, b)
+		field.add(c_1, c_1, c_x)
+		field.add(c_2, a, c_x)
+		field.add(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_1, c_1, c_x)
+		field.sub(c_2, a, c_x)
+		field.sub(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a - b) - c == (a - c ) -b")
+		}
+	}
+}
+
+func TestFp2AdditionPropertiesAssigned(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		zero := new(fe2).zero()
+		a, b := new(fe2), new(fe2)
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		field.addAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a + 0 == a")
+		}
+		field.subAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a - 0 == a")
+		}
+		a.set(zero)
+		field.doubleAssign(a)
+		if !a.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		a.set(zero)
+		field.subAssign(a, b)
+		field.neg(b, b)
+		if !a.equal(b) {
+			t.Fatal("0-a == -a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		field.doubleAssign(a)
+		field.addAssign(b, b)
+		if !a.equal(b) {
+			t.Fatal("2 * a == a + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1, c_2 := new(fe2).set(a), new(fe2).set(b)
+		field.addAssign(c_1, b)
+		field.addAssign(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1.set(a)
+		c_2.set(b)
+		field.subAssign(c_1, b)
+		field.subAssign(c_2, a)
+		field.neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c, _ := new(fe2).rand(rand.Reader)
+		a0 := new(fe2).set(a)
+		field.addAssign(a, b)
+		field.addAssign(a, c)
+		field.addAssign(b, c)
+		field.addAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("(a + b) + c == (b + c) + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		_, _ = c.rand(rand.Reader)
+		a0.set(a)
+		field.subAssign(a, b)
+		field.subAssign(a, c)
+		field.subAssign(a0, c)
+		field.subAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a - b) - c == (a - c) -b")
+		}
+	}
+}
+
+func TestFp2LazyOperations(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		b, _ := new(fe2).rand(rand.Reader)
+		c, _ := new(fe2).rand(rand.Reader)
+		c0 := new(fe2)
+		c1 := new(fe2)
+		field.ladd(c0, a, b)
+		field.add(c1, a, b)
+		field.mulAssign(c0, c)
+		field.mulAssign(c1, c)
+		if !c0.equal(c1) {
+			// l+ operator stands for lazy addition
+			t.Fatal("(a + b) * c == (a l+ b) * c")
+		}
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		field.ldouble(a, a)
+		field.ladd(b, b, b)
+		if !a.equal(b) {
+			t.Fatal("2 l* a = a l+ a")
+		}
+	}
+}
+
+func TestFp2MultiplicationProperties(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		b, _ := new(fe2).rand(rand.Reader)
+		zero := field.zero()
+		one := field.one()
+		c_1, c_2 := field.new(), field.new()
+		field.mul(c_1, a, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		field.mul(c_1, a, one)
+		if !c_1.equal(a) {
+			t.Fatal("a * 1 == a")
+		}
+		field.mul(c_1, a, b)
+		field.mul(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a * b == b * a")
+		}
+		c_x, _ := new(fe2).rand(rand.Reader)
+		field.mul(c_1, a, b)
+		field.mul(c_1, c_1, c_x)
+		field.mul(c_2, c_x, b)
+		field.mul(c_2, c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+		field.square(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("0^2 == 0")
+		}
+		field.square(a, one)
+		if !a.equal(one) {
+			t.Fatal("1^2 == 1")
+		}
+		_, _ = a.rand(rand.Reader)
+		field.square(c_1, a)
+		field.mul(c_2, a, a)
+		if !c_2.equal(c_1) {
+			t.Fatal("a^2 == a*a")
+		}
+	}
+}
+
+func TestFp2MultiplicationPropertiesAssigned(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		zero, one := new(fe2).zero(), new(fe2).one()
+		field.mulAssign(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		_, _ = a.rand(rand.Reader)
+		a0 := new(fe2).set(a)
+		field.mulAssign(a, one)
+		if !a.equal(a0) {
+			t.Fatal("a * 1 == a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b, _ := new(fe2).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("a * b == b * a")
+		}
+		c, _ := new(fe2).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(a, c)
+		field.mulAssign(a0, c)
+		field.mulAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+		a0.set(a)
+		field.squareAssign(a)
+		field.mulAssign(a0, a0)
+		if !a.equal(a0) {
+			t.Fatal("a^2 == a*a")
+		}
+	}
+}
+
+func TestFp2Exponentiation(t *testing.T) {
+	field := newFp2()
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		u := field.new()
+		field.exp(u, a, big.NewInt(0))
+		if !u.equal(field.one()) {
+			t.Fatal("a^0 == 1")
+		}
+		field.exp(u, a, big.NewInt(1))
+		if !u.equal(a) {
+			t.Fatal("a^1 == a")
+		}
+		v := field.new()
+		field.mul(u, a, a)
+		field.mul(u, u, u)
+		field.mul(u, u, u)
+		field.exp(v, a, big.NewInt(8))
+		if !u.equal(v) {
+			t.Fatal("((a^2)^2)^2 == a^8")
+		}
+	}
+}
+
+func TestFp2Inversion(t *testing.T) {
+	field := newFp2()
+	u := field.new()
+	zero := field.zero()
+	one := field.one()
+	field.inverse(u, zero)
+	if !u.equal(zero) {
+		t.Fatal("(0 ^ -1) == 0)")
+	}
+	field.inverse(u, one)
+	if !u.equal(one) {
+		t.Fatal("(1 ^ -1) == 1)")
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		field.inverse(u, a)
+		field.mul(u, u, a)
+		if !u.equal(one) {
+			t.Fatal("(r * a) * r * (a ^ -1) == r)")
+		}
+	}
+}
+
+func TestFp2SquareRoot(t *testing.T) {
+	field := newFp2()
+	for z := 0; z < 1000; z++ {
+		zi := new(fe)
+		sub(zi, &modulus, &fe{uint64(z * z)})
+		// r = (-z*z, 0)
+		r := &fe2{*zi, fe{0}}
+		toMont(&r[0], &r[0])
+		toMont(&r[1], &r[1])
+		c := field.new()
+		// sqrt((-z*z, 0)) = (0, z)
+		if !field.sqrt(c, r) {
+			t.Fatal("z*z does have a square root")
+		}
+		e := &fe2{fe{uint64(0)}, fe{uint64(z)}}
+		toMont(&e[0], &e[0])
+		toMont(&e[1], &e[1])
+		field.square(e, e)
+		field.square(c, c)
+		if !e.equal(c) {
+			t.Fatal("square root failed")
+		}
+	}
+	if field.sqrt(field.new(), nonResidue2) {
+		t.Fatal("non residue cannot have a sqrt")
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		aa, rr, r := field.new(), field.new(), field.new()
+		field.square(aa, a)
+		if !field.sqrt(r, aa) {
+			t.Fatal("bad sqrt 1")
+		}
+		field.square(rr, r)
+		if !rr.equal(aa) {
+			t.Fatal("bad sqrt 2")
+		}
+	}
+}
+
+func TestFp2NonResidue(t *testing.T) {
+	field := newFp2()
+	if !field.isQuadraticNonResidue(nonResidue2) {
+		t.Fatal("element is quadratic non residue, 1")
+	}
+	if field.isQuadraticNonResidue(new(fe2).one()) {
+		t.Fatal("one is not quadratic non residue")
+	}
+	if !field.isQuadraticNonResidue(new(fe2).zero()) {
+		t.Fatal("should accept zero as quadratic non residue")
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		field.squareAssign(a)
+		if field.isQuadraticNonResidue(new(fe2).one()) {
+			t.Fatal("element is not quadratic non residue")
+		}
+	}
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe2).rand(rand.Reader)
+		if !field.sqrt(new(fe2), a) {
+			if !field.isQuadraticNonResidue(a) {
+				t.Fatal("element is quadratic non residue, 2", i)
+			}
+		} else {
+			i -= 1
+		}
+	}
+}
+
+func TestFp6Serialization(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe6).rand(rand.Reader)
+		b, err := field.fromBytes(field.toBytes(a))
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !a.equal(b) {
+			t.Fatal("bad serialization")
+		}
+	}
+}
+
+func TestFp6AdditionProperties(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		zero := field.zero()
+		a, _ := new(fe6).rand(rand.Reader)
+		b, _ := new(fe6).rand(rand.Reader)
+		c_1 := field.new()
+		c_2 := field.new()
+		field.add(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a + 0 == a")
+		}
+		field.sub(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a - 0 == a")
+		}
+		field.double(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		field.neg(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("-0 == 0")
+		}
+		field.sub(c_1, zero, a)
+		field.neg(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("0-a == -a")
+		}
+		field.double(c_1, a)
+		field.add(c_2, a, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("2 * a == a + a")
+		}
+		field.add(c_1, a, b)
+		field.add(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_2, b, a)
+		field.neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		c_x, _ := new(fe6).rand(rand.Reader)
+		field.add(c_1, a, b)
+		field.add(c_1, c_1, c_x)
+		field.add(c_2, a, c_x)
+		field.add(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_1, c_1, c_x)
+		field.sub(c_2, a, c_x)
+		field.sub(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a - b) - c == (a - c ) -b")
+		}
+	}
+}
+
+func TestFp6AdditionPropertiesAssigned(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		zero := new(fe6).zero()
+		a, b := new(fe6), new(fe6)
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		field.addAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a + 0 == a")
+		}
+		field.subAssign(a, zero)
+		if !a.equal(b) {
+			t.Fatal("a - 0 == a")
+		}
+		a.set(zero)
+		field.doubleAssign(a)
+		if !a.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		a.set(zero)
+		field.subAssign(a, b)
+		field.neg(b, b)
+		if !a.equal(b) {
+			t.Fatal("0-a == -a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b.set(a)
+		field.doubleAssign(a)
+		field.addAssign(b, b)
+		if !a.equal(b) {
+			t.Fatal("2 * a == a + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1, c_2 := new(fe6).set(a), new(fe6).set(b)
+		field.addAssign(c_1, b)
+		field.addAssign(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c_1.set(a)
+		c_2.set(b)
+		field.subAssign(c_1, b)
+		field.subAssign(c_2, a)
+		field.neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		c, _ := new(fe6).rand(rand.Reader)
+		a0 := new(fe6).set(a)
+		field.addAssign(a, b)
+		field.addAssign(a, c)
+		field.addAssign(b, c)
+		field.addAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("(a + b) + c == (b + c) + a")
+		}
+		_, _ = a.rand(rand.Reader)
+		_, _ = b.rand(rand.Reader)
+		_, _ = c.rand(rand.Reader)
+		a0.set(a)
+		field.subAssign(a, b)
+		field.subAssign(a, c)
+		field.subAssign(a0, c)
+		field.subAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a - b) - c == (a - c) -b")
+		}
+	}
+}
+
+func TestFp6SparseMultiplication(t *testing.T) {
+	fp6 := newFp6(nil)
+	var a, b, u *fe6
+	for j := 0; j < fuz; j++ {
+		a, _ = new(fe6).rand(rand.Reader)
+		b, _ = new(fe6).rand(rand.Reader)
+		u, _ = new(fe6).rand(rand.Reader)
+		b[2].zero()
+		fp6.mul(u, a, b)
+		fp6.mulBy01(a, a, &b[0], &b[1])
+		if !a.equal(u) {
+			t.Fatal("bad mul by 01")
+		}
+	}
+	for j := 0; j < fuz; j++ {
+		a, _ = new(fe6).rand(rand.Reader)
+		b, _ = new(fe6).rand(rand.Reader)
+		u, _ = new(fe6).rand(rand.Reader)
+		b[2].zero()
+		b[0].zero()
+		fp6.mul(u, a, b)
+		fp6.mulBy1(a, a, &b[1])
+		if !a.equal(u) {
+			t.Fatal("bad mul by 1")
+		}
+	}
+}
+
+func TestFp6MultiplicationProperties(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe6).rand(rand.Reader)
+		b, _ := new(fe6).rand(rand.Reader)
+		zero := field.zero()
+		one := field.one()
+		c_1, c_2 := field.new(), field.new()
+		field.mul(c_1, a, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		field.mul(c_1, a, one)
+		if !c_1.equal(a) {
+			t.Fatal("a * 1 == a")
+		}
+		field.mul(c_1, a, b)
+		field.mul(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a * b == b * a")
+		}
+		c_x, _ := new(fe6).rand(rand.Reader)
+		field.mul(c_1, a, b)
+		field.mul(c_1, c_1, c_x)
+		field.mul(c_2, c_x, b)
+		field.mul(c_2, c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+		field.square(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("0^2 == 0")
+		}
+		field.square(a, one)
+		if !a.equal(one) {
+			t.Fatal("1^2 == 1")
+		}
+		_, _ = a.rand(rand.Reader)
+		field.square(c_1, a)
+		field.mul(c_2, a, a)
+		if !c_2.equal(c_1) {
+			t.Fatal("a^2 == a*a")
+		}
+	}
+}
+
+func TestFp6MultiplicationPropertiesAssigned(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe6).rand(rand.Reader)
+		zero, one := new(fe6).zero(), new(fe6).one()
+		field.mulAssign(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		_, _ = a.rand(rand.Reader)
+		a0 := new(fe6).set(a)
+		field.mulAssign(a, one)
+		if !a.equal(a0) {
+			t.Fatal("a * 1 == a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b, _ := new(fe6).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("a * b == b * a")
+		}
+		c, _ := new(fe6).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(a, c)
+		field.mulAssign(a0, c)
+		field.mulAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+	}
+}
+
+func TestFp6Exponentiation(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe6).rand(rand.Reader)
+		u := field.new()
+		field.exp(u, a, big.NewInt(0))
+		if !u.equal(field.one()) {
+			t.Fatal("a^0 == 1")
+		}
+		field.exp(u, a, big.NewInt(1))
+		if !u.equal(a) {
+			t.Fatal("a^1 == a")
+		}
+		v := field.new()
+		field.mul(u, a, a)
+		field.mul(u, u, u)
+		field.mul(u, u, u)
+		field.exp(v, a, big.NewInt(8))
+		if !u.equal(v) {
+			t.Fatal("((a^2)^2)^2 == a^8")
+		}
+	}
+}
+
+func TestFp6Inversion(t *testing.T) {
+	field := newFp6(nil)
+	for i := 0; i < fuz; i++ {
+		u := field.new()
+		zero := field.zero()
+		one := field.one()
+		field.inverse(u, zero)
+		if !u.equal(zero) {
+			t.Fatal("(0^-1) == 0)")
+		}
+		field.inverse(u, one)
+		if !u.equal(one) {
+			t.Fatal("(1^-1) == 1)")
+		}
+		a, _ := new(fe6).rand(rand.Reader)
+		field.inverse(u, a)
+		field.mul(u, u, a)
+		if !u.equal(one) {
+			t.Fatal("(r*a) * r*(a^-1) == r)")
+		}
+	}
+}
+
+func TestFp12Serialization(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe12).rand(rand.Reader)
+		b, err := field.fromBytes(field.toBytes(a))
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !a.equal(b) {
+			t.Fatal("bad serialization")
+		}
+	}
+}
+
+func TestFp12AdditionProperties(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		zero := field.zero()
+		a, _ := new(fe12).rand(rand.Reader)
+		b, _ := new(fe12).rand(rand.Reader)
+		c_1 := field.new()
+		c_2 := field.new()
+		field.add(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a + 0 == a")
+		}
+		field.sub(c_1, a, zero)
+		if !c_1.equal(a) {
+			t.Fatal("a - 0 == a")
+		}
+		field.double(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		field.neg(c_1, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("-0 == 0")
+		}
+		field.sub(c_1, zero, a)
+		field.neg(c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("0-a == -a")
+		}
+		field.double(c_1, a)
+		field.add(c_2, a, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("2 * a == a + a")
+		}
+		field.add(c_1, a, b)
+		field.add(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a + b = b + a")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_2, b, a)
+		field.neg(c_2, c_2)
+		if !c_1.equal(c_2) {
+			t.Fatal("a - b = - ( b - a )")
+		}
+		c_x, _ := new(fe12).rand(rand.Reader)
+		field.add(c_1, a, b)
+		field.add(c_1, c_1, c_x)
+		field.add(c_2, a, c_x)
+		field.add(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		field.sub(c_1, a, b)
+		field.sub(c_1, c_1, c_x)
+		field.sub(c_2, a, c_x)
+		field.sub(c_2, c_2, b)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a - b) - c == (a - c ) -b")
+		}
+	}
+}
+
+func TestFp12MultiplicationProperties(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe12).rand(rand.Reader)
+		b, _ := new(fe12).rand(rand.Reader)
+		zero := field.zero()
+		one := field.one()
+		c_1, c_2 := field.new(), field.new()
+		field.mul(c_1, a, zero)
+		if !c_1.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		field.mul(c_1, a, one)
+		if !c_1.equal(a) {
+			t.Fatal("a * 1 == a")
+		}
+		field.mul(c_1, a, b)
+		field.mul(c_2, b, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("a * b == b * a")
+		}
+		c_x, _ := new(fe12).rand(rand.Reader)
+		field.mul(c_1, a, b)
+		field.mul(c_1, c_1, c_x)
+		field.mul(c_2, c_x, b)
+		field.mul(c_2, c_2, a)
+		if !c_1.equal(c_2) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+		field.square(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("0^2 == 0")
+		}
+		field.square(a, one)
+		if !a.equal(one) {
+			t.Fatal("1^2 == 1")
+		}
+		_, _ = a.rand(rand.Reader)
+		field.square(c_1, a)
+		field.mul(c_2, a, a)
+		if !c_2.equal(c_1) {
+			t.Fatal("a^2 == a*a")
+		}
+	}
+}
+
+func TestFp12MultiplicationPropertiesAssigned(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe12).rand(rand.Reader)
+		zero, one := new(fe12).zero(), new(fe12).one()
+		field.mulAssign(a, zero)
+		if !a.equal(zero) {
+			t.Fatal("a * 0 == 0")
+		}
+		_, _ = a.rand(rand.Reader)
+		a0 := new(fe12).set(a)
+		field.mulAssign(a, one)
+		if !a.equal(a0) {
+			t.Fatal("a * 1 == a")
+		}
+		_, _ = a.rand(rand.Reader)
+		b, _ := new(fe12).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(b, a0)
+		if !a.equal(b) {
+			t.Fatal("a * b == b * a")
+		}
+		c, _ := new(fe12).rand(rand.Reader)
+		a0.set(a)
+		field.mulAssign(a, b)
+		field.mulAssign(a, c)
+		field.mulAssign(a0, c)
+		field.mulAssign(a0, b)
+		if !a.equal(a0) {
+			t.Fatal("(a * b) * c == (a * c) * b")
+		}
+	}
+}
+
+func TestFp12SparseMultiplication(t *testing.T) {
+	fp12 := newFp12(nil)
+	var a, b, u *fe12
+	for j := 0; j < fuz; j++ {
+		a, _ = new(fe12).rand(rand.Reader)
+		b, _ = new(fe12).rand(rand.Reader)
+		u, _ = new(fe12).rand(rand.Reader)
+		b[0][2].zero()
+		b[1][0].zero()
+		b[1][2].zero()
+		fp12.mul(u, a, b)
+		fp12.mulBy014Assign(a, &b[0][0], &b[0][1], &b[1][1])
+		if !a.equal(u) {
+			t.Fatal("bad mul by 01")
+		}
+	}
+}
+
+func TestFp12Exponentiation(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		a, _ := new(fe12).rand(rand.Reader)
+		u := field.new()
+		field.exp(u, a, big.NewInt(0))
+		if !u.equal(field.one()) {
+			t.Fatal("a^0 == 1")
+		}
+		field.exp(u, a, big.NewInt(1))
+		if !u.equal(a) {
+			t.Fatal("a^1 == a")
+		}
+		v := field.new()
+		field.mul(u, a, a)
+		field.mul(u, u, u)
+		field.mul(u, u, u)
+		field.exp(v, a, big.NewInt(8))
+		if !u.equal(v) {
+			t.Fatal("((a^2)^2)^2 == a^8")
+		}
+	}
+}
+
+func TestFp12Inversion(t *testing.T) {
+	field := newFp12(nil)
+	for i := 0; i < fuz; i++ {
+		u := field.new()
+		zero := field.zero()
+		one := field.one()
+		field.inverse(u, zero)
+		if !u.equal(zero) {
+			t.Fatal("(0^-1) == 0)")
+		}
+		field.inverse(u, one)
+		if !u.equal(one) {
+			t.Fatal("(1^-1) == 1)")
+		}
+		a, _ := new(fe12).rand(rand.Reader)
+		field.inverse(u, a)
+		field.mul(u, u, a)
+		if !u.equal(one) {
+			t.Fatal("(r*a) * r*(a^-1) == r)")
+		}
+	}
+}
+
+func BenchmarkMultiplication(t *testing.B) {
+	a, _ := new(fe).rand(rand.Reader)
+	b, _ := new(fe).rand(rand.Reader)
+	c, _ := new(fe).rand(rand.Reader)
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		mul(c, a, b)
+	}
+}
+
+func padBytes(in []byte, size int) []byte {
+	out := make([]byte, size)
+	if len(in) > size {
+		panic("bad input for padding")
+	}
+	copy(out[size-len(in):], in)
+	return out
+}

crypto/bls12381/g1.go

@@ -0,0 +1,435 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math"
+	"math/big"
+)
+
+// PointG1 is type for point in G1.
+// PointG1 is both used for Affine and Jacobian point representation.
+// If z is equal to one the point is considered as in affine form.
+type PointG1 [3]fe
+
+func (p *PointG1) Set(p2 *PointG1) *PointG1 {
+	p[0].set(&p2[0])
+	p[1].set(&p2[1])
+	p[2].set(&p2[2])
+	return p
+}
+
+// Zero returns G1 point in point at infinity representation
+func (p *PointG1) Zero() *PointG1 {
+	p[0].zero()
+	p[1].one()
+	p[2].zero()
+	return p
+}
+
+type tempG1 struct {
+	t [9]*fe
+}
+
+// G1 is struct for G1 group.
+type G1 struct {
+	tempG1
+}
+
+// NewG1 constructs a new G1 instance.
+func NewG1() *G1 {
+	t := newTempG1()
+	return &G1{t}
+}
+
+func newTempG1() tempG1 {
+	t := [9]*fe{}
+	for i := 0; i < 9; i++ {
+		t[i] = &fe{}
+	}
+	return tempG1{t}
+}
+
+// Q returns group order in big.Int.
+func (g *G1) Q() *big.Int {
+	return new(big.Int).Set(q)
+}
+
+func (g *G1) fromBytesUnchecked(in []byte) (*PointG1, error) {
+	p0, err := fromBytes(in[:48])
+	if err != nil {
+		return nil, err
+	}
+	p1, err := fromBytes(in[48:])
+	if err != nil {
+		return nil, err
+	}
+	p2 := new(fe).one()
+	return &PointG1{*p0, *p1, *p2}, nil
+}
+
+// FromBytes constructs a new point given uncompressed byte input.
+// FromBytes does not take zcash flags into account.
+// Byte input expected to be larger than 96 bytes.
+// First 96 bytes should be concatenation of x and y values.
+// Point (0, 0) is considered as infinity.
+func (g *G1) FromBytes(in []byte) (*PointG1, error) {
+	if len(in) != 96 {
+		return nil, errors.New("input string should be equal or larger than 96")
+	}
+	p0, err := fromBytes(in[:48])
+	if err != nil {
+		return nil, err
+	}
+	p1, err := fromBytes(in[48:])
+	if err != nil {
+		return nil, err
+	}
+	// check if given input points to infinity
+	if p0.isZero() && p1.isZero() {
+		return g.Zero(), nil
+	}
+	p2 := new(fe).one()
+	p := &PointG1{*p0, *p1, *p2}
+	if !g.IsOnCurve(p) {
+		return nil, errors.New("point is not on curve")
+	}
+	return p, nil
+}
+
+// DecodePoint given encoded (x, y) coordinates in 128 bytes returns a valid G1 Point.
+func (g *G1) DecodePoint(in []byte) (*PointG1, error) {
+	if len(in) != 128 {
+		return nil, errors.New("invalid g1 point length")
+	}
+	pointBytes := make([]byte, 96)
+	// decode x
+	xBytes, err := decodeFieldElement(in[:64])
+	if err != nil {
+		return nil, err
+	}
+	// decode y
+	yBytes, err := decodeFieldElement(in[64:])
+	if err != nil {
+		return nil, err
+	}
+	copy(pointBytes[:48], xBytes)
+	copy(pointBytes[48:], yBytes)
+	return g.FromBytes(pointBytes)
+}
+
+// ToBytes serializes a point into bytes in uncompressed form.
+// ToBytes does not take zcash flags into account.
+// ToBytes returns (0, 0) if point is infinity.
+func (g *G1) ToBytes(p *PointG1) []byte {
+	out := make([]byte, 96)
+	if g.IsZero(p) {
+		return out
+	}
+	g.Affine(p)
+	copy(out[:48], toBytes(&p[0]))
+	copy(out[48:], toBytes(&p[1]))
+	return out
+}
+
+// EncodePoint encodes a point into 128 bytes.
+func (g *G1) EncodePoint(p *PointG1) []byte {
+	outRaw := g.ToBytes(p)
+	out := make([]byte, 128)
+	// encode x
+	copy(out[16:], outRaw[:48])
+	// encode y
+	copy(out[64+16:], outRaw[48:])
+	return out
+}
+
+// New creates a new G1 Point which is equal to zero in other words point at infinity.
+func (g *G1) New() *PointG1 {
+	return g.Zero()
+}
+
+// Zero returns a new G1 Point which is equal to point at infinity.
+func (g *G1) Zero() *PointG1 {
+	return new(PointG1).Zero()
+}
+
+// One returns a new G1 Point which is equal to generator point.
+func (g *G1) One() *PointG1 {
+	p := &PointG1{}
+	return p.Set(&g1One)
+}
+
+// IsZero returns true if given point is equal to zero.
+func (g *G1) IsZero(p *PointG1) bool {
+	return p[2].isZero()
+}
+
+// Equal checks if given two G1 point is equal in their affine form.
+func (g *G1) Equal(p1, p2 *PointG1) bool {
+	if g.IsZero(p1) {
+		return g.IsZero(p2)
+	}
+	if g.IsZero(p2) {
+		return g.IsZero(p1)
+	}
+	t := g.t
+	square(t[0], &p1[2])
+	square(t[1], &p2[2])
+	mul(t[2], t[0], &p2[0])
+	mul(t[3], t[1], &p1[0])
+	mul(t[0], t[0], &p1[2])
+	mul(t[1], t[1], &p2[2])
+	mul(t[1], t[1], &p1[1])
+	mul(t[0], t[0], &p2[1])
+	return t[0].equal(t[1]) && t[2].equal(t[3])
+}
+
+// InCorrectSubgroup checks whether given point is in correct subgroup.
+func (g *G1) InCorrectSubgroup(p *PointG1) bool {
+	tmp := &PointG1{}
+	g.MulScalar(tmp, p, q)
+	return g.IsZero(tmp)
+}
+
+// IsOnCurve checks a G1 point is on curve.
+func (g *G1) IsOnCurve(p *PointG1) bool {
+	if g.IsZero(p) {
+		return true
+	}
+	t := g.t
+	square(t[0], &p[1])
+	square(t[1], &p[0])
+	mul(t[1], t[1], &p[0])
+	square(t[2], &p[2])
+	square(t[3], t[2])
+	mul(t[2], t[2], t[3])
+	mul(t[2], b, t[2])
+	add(t[1], t[1], t[2])
+	return t[0].equal(t[1])
+}
+
+// IsAffine checks a G1 point whether it is in affine form.
+func (g *G1) IsAffine(p *PointG1) bool {
+	return p[2].isOne()
+}
+
+// Add adds two G1 points p1, p2 and assigns the result to point at first argument.
+func (g *G1) Affine(p *PointG1) *PointG1 {
+	if g.IsZero(p) {
+		return p
+	}
+	if !g.IsAffine(p) {
+		t := g.t
+		inverse(t[0], &p[2])
+		square(t[1], t[0])
+		mul(&p[0], &p[0], t[1])
+		mul(t[0], t[0], t[1])
+		mul(&p[1], &p[1], t[0])
+		p[2].one()
+	}
+	return p
+}
+
+// Add adds two G1 points p1, p2 and assigns the result to point at first argument.
+func (g *G1) Add(r, p1, p2 *PointG1) *PointG1 {
+	// http://www.hyperelliptic.org/EFD/gp/auto-shortw-jacobian-0.html#addition-add-2007-bl
+	if g.IsZero(p1) {
+		return r.Set(p2)
+	}
+	if g.IsZero(p2) {
+		return r.Set(p1)
+	}
+	t := g.t
+	square(t[7], &p1[2])
+	mul(t[1], &p2[0], t[7])
+	mul(t[2], &p1[2], t[7])
+	mul(t[0], &p2[1], t[2])
+	square(t[8], &p2[2])
+	mul(t[3], &p1[0], t[8])
+	mul(t[4], &p2[2], t[8])
+	mul(t[2], &p1[1], t[4])
+	if t[1].equal(t[3]) {
+		if t[0].equal(t[2]) {
+			return g.Double(r, p1)
+		} else {
+			return r.Zero()
+		}
+	}
+	sub(t[1], t[1], t[3])
+	double(t[4], t[1])
+	square(t[4], t[4])
+	mul(t[5], t[1], t[4])
+	sub(t[0], t[0], t[2])
+	double(t[0], t[0])
+	square(t[6], t[0])
+	sub(t[6], t[6], t[5])
+	mul(t[3], t[3], t[4])
+	double(t[4], t[3])
+	sub(&r[0], t[6], t[4])
+	sub(t[4], t[3], &r[0])
+	mul(t[6], t[2], t[5])
+	double(t[6], t[6])
+	mul(t[0], t[0], t[4])
+	sub(&r[1], t[0], t[6])
+	add(t[0], &p1[2], &p2[2])
+	square(t[0], t[0])
+	sub(t[0], t[0], t[7])
+	sub(t[0], t[0], t[8])
+	mul(&r[2], t[0], t[1])
+	return r
+}
+
+// Double doubles a G1 point p and assigns the result to the point at first argument.
+func (g *G1) Double(r, p *PointG1) *PointG1 {
+	// http://www.hyperelliptic.org/EFD/gp/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
+	if g.IsZero(p) {
+		return r.Set(p)
+	}
+	t := g.t
+	square(t[0], &p[0])
+	square(t[1], &p[1])
+	square(t[2], t[1])
+	add(t[1], &p[0], t[1])
+	square(t[1], t[1])
+	sub(t[1], t[1], t[0])
+	sub(t[1], t[1], t[2])
+	double(t[1], t[1])
+	double(t[3], t[0])
+	add(t[0], t[3], t[0])
+	square(t[4], t[0])
+	double(t[3], t[1])
+	sub(&r[0], t[4], t[3])
+	sub(t[1], t[1], &r[0])
+	double(t[2], t[2])
+	double(t[2], t[2])
+	double(t[2], t[2])
+	mul(t[0], t[0], t[1])
+	sub(t[1], t[0], t[2])
+	mul(t[0], &p[1], &p[2])
+	r[1].set(t[1])
+	double(&r[2], t[0])
+	return r
+}
+
+// Neg negates a G1 point p and assigns the result to the point at first argument.
+func (g *G1) Neg(r, p *PointG1) *PointG1 {
+	r[0].set(&p[0])
+	r[2].set(&p[2])
+	neg(&r[1], &p[1])
+	return r
+}
+
+// Sub subtracts two G1 points p1, p2 and assigns the result to point at first argument.
+func (g *G1) Sub(c, a, b *PointG1) *PointG1 {
+	d := &PointG1{}
+	g.Neg(d, b)
+	g.Add(c, a, d)
+	return c
+}
+
+// MulScalar multiplies a point by given scalar value in big.Int and assigns the result to point at first argument.
+func (g *G1) MulScalar(c, p *PointG1, e *big.Int) *PointG1 {
+	q, n := &PointG1{}, &PointG1{}
+	n.Set(p)
+	l := e.BitLen()
+	for i := 0; i < l; i++ {
+		if e.Bit(i) == 1 {
+			g.Add(q, q, n)
+		}
+		g.Double(n, n)
+	}
+	return c.Set(q)
+}
+
+// ClearCofactor maps given a G1 point to correct subgroup
+func (g *G1) ClearCofactor(p *PointG1) {
+	g.MulScalar(p, p, cofactorEFFG1)
+}
+
+// MultiExp calculates multi exponentiation. Given pairs of G1 point and scalar values
+// (P_0, e_0), (P_1, e_1), ... (P_n, e_n) calculates r = e_0 * P_0 + e_1 * P_1 + ... + e_n * P_n
+// Length of points and scalars are expected to be equal, otherwise an error is returned.
+// Result is assigned to point at first argument.
+func (g *G1) MultiExp(r *PointG1, points []*PointG1, powers []*big.Int) (*PointG1, error) {
+	if len(points) != len(powers) {
+		return nil, errors.New("point and scalar vectors should be in same length")
+	}
+	var c uint32 = 3
+	if len(powers) >= 32 {
+		c = uint32(math.Ceil(math.Log10(float64(len(powers)))))
+	}
+	bucketSize, numBits := (1<<c)-1, uint32(g.Q().BitLen())
+	windows := make([]*PointG1, numBits/c+1)
+	bucket := make([]*PointG1, bucketSize)
+	acc, sum := g.New(), g.New()
+	for i := 0; i < bucketSize; i++ {
+		bucket[i] = g.New()
+	}
+	mask := (uint64(1) << c) - 1
+	j := 0
+	var cur uint32
+	for cur <= numBits {
+		acc.Zero()
+		bucket = make([]*PointG1, (1<<c)-1)
+		for i := 0; i < len(bucket); i++ {
+			bucket[i] = g.New()
+		}
+		for i := 0; i < len(powers); i++ {
+			s0 := powers[i].Uint64()
+			index := uint(s0 & mask)
+			if index != 0 {
+				g.Add(bucket[index-1], bucket[index-1], points[i])
+			}
+			powers[i] = new(big.Int).Rsh(powers[i], uint(c))
+		}
+		sum.Zero()
+		for i := len(bucket) - 1; i >= 0; i-- {
+			g.Add(sum, sum, bucket[i])
+			g.Add(acc, acc, sum)
+		}
+		windows[j] = g.New()
+		windows[j].Set(acc)
+		j++
+		cur += c
+	}
+	acc.Zero()
+	for i := len(windows) - 1; i >= 0; i-- {
+		for j := uint32(0); j < c; j++ {
+			g.Double(acc, acc)
+		}
+		g.Add(acc, acc, windows[i])
+	}
+	return r.Set(acc), nil
+}
+
+// MapToCurve given a byte slice returns a valid G1 point.
+// This mapping function implements the Simplified Shallue-van de Woestijne-Ulas method.
+// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06
+// Input byte slice should be a valid field element, otherwise an error is returned.
+func (g *G1) MapToCurve(in []byte) (*PointG1, error) {
+	u, err := fromBytes(in)
+	if err != nil {
+		return nil, err
+	}
+	x, y := swuMapG1(u)
+	isogenyMapG1(x, y)
+	one := new(fe).one()
+	p := &PointG1{*x, *y, *one}
+	g.ClearCofactor(p)
+	return g.Affine(p), nil
+}

crypto/bls12381/g1_test.go

@@ -0,0 +1,283 @@
+package bls12381
+
+import (
+	"bytes"
+	"crypto/rand"
+	"math/big"
+	"testing"
+
+	"github.com/ethereum/go-ethereum/common"
+)
+
+func (g *G1) one() *PointG1 {
+	one, _ := g.fromBytesUnchecked(
+		common.FromHex("" +
+			"17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb" +
+			"08b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1",
+		),
+	)
+	return one
+}
+
+func (g *G1) rand() *PointG1 {
+	k, err := rand.Int(rand.Reader, q)
+	if err != nil {
+		panic(err)
+	}
+	return g.MulScalar(&PointG1{}, g.one(), k)
+}
+
+func TestG1Serialization(t *testing.T) {
+	g1 := NewG1()
+	for i := 0; i < fuz; i++ {
+		a := g1.rand()
+		buf := g1.ToBytes(a)
+		b, err := g1.FromBytes(buf)
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !g1.Equal(a, b) {
+			t.Fatal("bad serialization from/to")
+		}
+	}
+	for i := 0; i < fuz; i++ {
+		a := g1.rand()
+		encoded := g1.EncodePoint(a)
+		b, err := g1.DecodePoint(encoded)
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !g1.Equal(a, b) {
+			t.Fatal("bad serialization encode/decode")
+		}
+	}
+}
+
+func TestG1IsOnCurve(t *testing.T) {
+	g := NewG1()
+	zero := g.Zero()
+	if !g.IsOnCurve(zero) {
+		t.Fatal("zero must be on curve")
+	}
+	one := new(fe).one()
+	p := &PointG1{*one, *one, *one}
+	if g.IsOnCurve(p) {
+		t.Fatal("(1, 1) is not on curve")
+	}
+}
+
+func TestG1AdditiveProperties(t *testing.T) {
+	g := NewG1()
+	t0, t1 := g.New(), g.New()
+	zero := g.Zero()
+	for i := 0; i < fuz; i++ {
+		a, b := g.rand(), g.rand()
+		g.Add(t0, a, zero)
+		if !g.Equal(t0, a) {
+			t.Fatal("a + 0 == a")
+		}
+		g.Add(t0, zero, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("0 + 0 == 0")
+		}
+		g.Sub(t0, a, zero)
+		if !g.Equal(t0, a) {
+			t.Fatal("a - 0 == a")
+		}
+		g.Sub(t0, zero, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("0 - 0 == 0")
+		}
+		g.Neg(t0, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("- 0 == 0")
+		}
+		g.Sub(t0, zero, a)
+		g.Neg(t0, t0)
+		if !g.Equal(t0, a) {
+			t.Fatal(" - (0 - a) == a")
+		}
+		g.Double(t0, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		g.Double(t0, a)
+		g.Sub(t0, t0, a)
+		if !g.Equal(t0, a) || !g.IsOnCurve(t0) {
+			t.Fatal(" (2 * a) - a == a")
+		}
+		g.Add(t0, a, b)
+		g.Add(t1, b, a)
+		if !g.Equal(t0, t1) {
+			t.Fatal("a + b == b + a")
+		}
+		g.Sub(t0, a, b)
+		g.Sub(t1, b, a)
+		g.Neg(t1, t1)
+		if !g.Equal(t0, t1) {
+			t.Fatal("a - b == - ( b - a )")
+		}
+		c := g.rand()
+		g.Add(t0, a, b)
+		g.Add(t0, t0, c)
+		g.Add(t1, a, c)
+		g.Add(t1, t1, b)
+		if !g.Equal(t0, t1) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		g.Sub(t0, a, b)
+		g.Sub(t0, t0, c)
+		g.Sub(t1, a, c)
+		g.Sub(t1, t1, b)
+		if !g.Equal(t0, t1) {
+			t.Fatal("(a - b) - c == (a - c) -b")
+		}
+	}
+}
+
+func TestG1MultiplicativeProperties(t *testing.T) {
+	g := NewG1()
+	t0, t1 := g.New(), g.New()
+	zero := g.Zero()
+	for i := 0; i < fuz; i++ {
+		a := g.rand()
+		s1, s2, s3 := randScalar(q), randScalar(q), randScalar(q)
+		sone := big.NewInt(1)
+		g.MulScalar(t0, zero, s1)
+		if !g.Equal(t0, zero) {
+			t.Fatal(" 0 ^ s == 0")
+		}
+		g.MulScalar(t0, a, sone)
+		if !g.Equal(t0, a) {
+			t.Fatal(" a ^ 1 == a")
+		}
+		g.MulScalar(t0, zero, s1)
+		if !g.Equal(t0, zero) {
+			t.Fatal(" 0 ^ s == a")
+		}
+		g.MulScalar(t0, a, s1)
+		g.MulScalar(t0, t0, s2)
+		s3.Mul(s1, s2)
+		g.MulScalar(t1, a, s3)
+		if !g.Equal(t0, t1) {
+			t.Errorf(" (a ^ s1) ^ s2 == a ^ (s1 * s2)")
+		}
+		g.MulScalar(t0, a, s1)
+		g.MulScalar(t1, a, s2)
+		g.Add(t0, t0, t1)
+		s3.Add(s1, s2)
+		g.MulScalar(t1, a, s3)
+		if !g.Equal(t0, t1) {
+			t.Errorf(" (a ^ s1) + (a ^ s2) == a ^ (s1 + s2)")
+		}
+	}
+}
+
+func TestG1MultiExpExpected(t *testing.T) {
+	g := NewG1()
+	one := g.one()
+	var scalars [2]*big.Int
+	var bases [2]*PointG1
+	scalars[0] = big.NewInt(2)
+	scalars[1] = big.NewInt(3)
+	bases[0], bases[1] = new(PointG1).Set(one), new(PointG1).Set(one)
+	expected, result := g.New(), g.New()
+	g.MulScalar(expected, one, big.NewInt(5))
+	_, _ = g.MultiExp(result, bases[:], scalars[:])
+	if !g.Equal(expected, result) {
+		t.Fatal("bad multi-exponentiation")
+	}
+}
+
+func TestG1MultiExpBatch(t *testing.T) {
+	g := NewG1()
+	one := g.one()
+	n := 1000
+	bases := make([]*PointG1, n)
+	scalars := make([]*big.Int, n)
+	// scalars: [s0,s1 ... s(n-1)]
+	// bases: [P0,P1,..P(n-1)] = [s(n-1)*G, s(n-2)*G ... s0*G]
+	for i, j := 0, n-1; i < n; i, j = i+1, j-1 {
+		scalars[j], _ = rand.Int(rand.Reader, big.NewInt(100000))
+		bases[i] = g.New()
+		g.MulScalar(bases[i], one, scalars[j])
+	}
+	// expected: s(n-1)*P0 + s(n-2)*P1 + s0*P(n-1)
+	expected, tmp := g.New(), g.New()
+	for i := 0; i < n; i++ {
+		g.MulScalar(tmp, bases[i], scalars[i])
+		g.Add(expected, expected, tmp)
+	}
+	result := g.New()
+	_, _ = g.MultiExp(result, bases, scalars)
+	if !g.Equal(expected, result) {
+		t.Fatal("bad multi-exponentiation")
+	}
+}
+
+func TestG1MapToCurve(t *testing.T) {
+	for i, v := range []struct {
+		u        []byte
+		expected []byte
+	}{
+		{
+			u:        make([]byte, 48),
+			expected: common.FromHex("11a9a0372b8f332d5c30de9ad14e50372a73fa4c45d5f2fa5097f2d6fb93bcac592f2e1711ac43db0519870c7d0ea415" + "092c0f994164a0719f51c24ba3788de240ff926b55f58c445116e8bc6a47cd63392fd4e8e22bdf9feaa96ee773222133"),
+		},
+		{
+			u:        common.FromHex("07fdf49ea58e96015d61f6b5c9d1c8f277146a533ae7fbca2a8ef4c41055cd961fbc6e26979b5554e4b4f22330c0e16d"),
+			expected: common.FromHex("1223effdbb2d38152495a864d78eee14cb0992d89a241707abb03819a91a6d2fd65854ab9a69e9aacb0cbebfd490732c" + "0f925d61e0b235ecd945cbf0309291878df0d06e5d80d6b84aa4ff3e00633b26f9a7cb3523ef737d90e6d71e8b98b2d5"),
+		},
+		{
+			u:        common.FromHex("1275ab3adbf824a169ed4b1fd669b49cf406d822f7fe90d6b2f8c601b5348436f89761bb1ad89a6fb1137cd91810e5d2"),
+			expected: common.FromHex("179d3fd0b4fb1da43aad06cea1fb3f828806ddb1b1fa9424b1e3944dfdbab6e763c42636404017da03099af0dcca0fd6" + "0d037cb1c6d495c0f5f22b061d23f1be3d7fe64d3c6820cfcd99b6b36fa69f7b4c1f4addba2ae7aa46fb25901ab483e4"),
+		},
+		{
+			u:        common.FromHex("0e93d11d30de6d84b8578827856f5c05feef36083eef0b7b263e35ecb9b56e86299614a042e57d467fa20948e8564909"),
+			expected: common.FromHex("15aa66c77eded1209db694e8b1ba49daf8b686733afaa7b68c683d0b01788dfb0617a2e2d04c0856db4981921d3004af" + "0952bb2f61739dd1d201dd0a79d74cda3285403d47655ee886afe860593a8a4e51c5b77a22d2133e3a4280eaaaa8b788"),
+		},
+		{
+			u:        common.FromHex("015a41481155d17074d20be6d8ec4d46632a51521cd9c916e265bd9b47343b3689979b50708c8546cbc2916b86cb1a3a"),
+			expected: common.FromHex("06328ce5106e837935e8da84bd9af473422e62492930aa5f460369baad9545defa468d9399854c23a75495d2a80487ee" + "094bfdfe3e552447433b5a00967498a3f1314b86ce7a7164c8a8f4131f99333b30a574607e301d5f774172c627fd0bca"),
+		},
+	} {
+		g := NewG1()
+		p0, err := g.MapToCurve(v.u)
+		if err != nil {
+			t.Fatal("map to curve fails", i, err)
+		}
+		if !bytes.Equal(g.ToBytes(p0), v.expected) {
+			t.Fatal("map to curve fails", i)
+		}
+	}
+}
+
+func BenchmarkG1Add(t *testing.B) {
+	g1 := NewG1()
+	a, b, c := g1.rand(), g1.rand(), PointG1{}
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		g1.Add(&c, a, b)
+	}
+}
+
+func BenchmarkG1Mul(t *testing.B) {
+	g1 := NewG1()
+	a, e, c := g1.rand(), q, PointG1{}
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		g1.MulScalar(&c, a, e)
+	}
+}
+
+func BenchmarkG1MapToCurve(t *testing.B) {
+	a := make([]byte, 48)
+	g1 := NewG1()
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		_, err := g1.MapToCurve(a)
+		if err != nil {
+			t.Fatal(err)
+		}
+	}
+}

crypto/bls12381/g2.go

@@ -0,0 +1,457 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math"
+	"math/big"
+)
+
+// PointG2 is type for point in G2.
+// PointG2 is both used for Affine and Jacobian point representation.
+// If z is equal to one the point is considered as in affine form.
+type PointG2 [3]fe2
+
+// Set copies valeus of one point to another.
+func (p *PointG2) Set(p2 *PointG2) *PointG2 {
+	p[0].set(&p2[0])
+	p[1].set(&p2[1])
+	p[2].set(&p2[2])
+	return p
+}
+
+// Zero returns G2 point in point at infinity representation
+func (p *PointG2) Zero() *PointG2 {
+	p[0].zero()
+	p[1].one()
+	p[2].zero()
+	return p
+
+}
+
+type tempG2 struct {
+	t [9]*fe2
+}
+
+// G2 is struct for G2 group.
+type G2 struct {
+	f *fp2
+	tempG2
+}
+
+// NewG2 constructs a new G2 instance.
+func NewG2() *G2 {
+	return newG2(nil)
+}
+
+func newG2(f *fp2) *G2 {
+	if f == nil {
+		f = newFp2()
+	}
+	t := newTempG2()
+	return &G2{f, t}
+}
+
+func newTempG2() tempG2 {
+	t := [9]*fe2{}
+	for i := 0; i < 9; i++ {
+		t[i] = &fe2{}
+	}
+	return tempG2{t}
+}
+
+// Q returns group order in big.Int.
+func (g *G2) Q() *big.Int {
+	return new(big.Int).Set(q)
+}
+
+func (g *G2) fromBytesUnchecked(in []byte) (*PointG2, error) {
+	p0, err := g.f.fromBytes(in[:96])
+	if err != nil {
+		return nil, err
+	}
+	p1, err := g.f.fromBytes(in[96:])
+	if err != nil {
+		return nil, err
+	}
+	p2 := new(fe2).one()
+	return &PointG2{*p0, *p1, *p2}, nil
+}
+
+// FromBytes constructs a new point given uncompressed byte input.
+// FromBytes does not take zcash flags into account.
+// Byte input expected to be larger than 96 bytes.
+// First 192 bytes should be concatenation of x and y values
+// Point (0, 0) is considered as infinity.
+func (g *G2) FromBytes(in []byte) (*PointG2, error) {
+	if len(in) != 192 {
+		return nil, errors.New("input string should be equal or larger than 192")
+	}
+	p0, err := g.f.fromBytes(in[:96])
+	if err != nil {
+		return nil, err
+	}
+	p1, err := g.f.fromBytes(in[96:])
+	if err != nil {
+		return nil, err
+	}
+	// check if given input points to infinity
+	if p0.isZero() && p1.isZero() {
+		return g.Zero(), nil
+	}
+	p2 := new(fe2).one()
+	p := &PointG2{*p0, *p1, *p2}
+	if !g.IsOnCurve(p) {
+		return nil, errors.New("point is not on curve")
+	}
+	return p, nil
+}
+
+// DecodePoint given encoded (x, y) coordinates in 256 bytes returns a valid G1 Point.
+func (g *G2) DecodePoint(in []byte) (*PointG2, error) {
+	if len(in) != 256 {
+		return nil, errors.New("invalid g2 point length")
+	}
+	pointBytes := make([]byte, 192)
+	x0Bytes, err := decodeFieldElement(in[:64])
+	if err != nil {
+		return nil, err
+	}
+	x1Bytes, err := decodeFieldElement(in[64:128])
+	if err != nil {
+		return nil, err
+	}
+	y0Bytes, err := decodeFieldElement(in[128:192])
+	if err != nil {
+		return nil, err
+	}
+	y1Bytes, err := decodeFieldElement(in[192:])
+	if err != nil {
+		return nil, err
+	}
+	copy(pointBytes[:48], x1Bytes)
+	copy(pointBytes[48:96], x0Bytes)
+	copy(pointBytes[96:144], y1Bytes)
+	copy(pointBytes[144:192], y0Bytes)
+	return g.FromBytes(pointBytes)
+}
+
+// ToBytes serializes a point into bytes in uncompressed form,
+// does not take zcash flags into account,
+// returns (0, 0) if point is infinity.
+func (g *G2) ToBytes(p *PointG2) []byte {
+	out := make([]byte, 192)
+	if g.IsZero(p) {
+		return out
+	}
+	g.Affine(p)
+	copy(out[:96], g.f.toBytes(&p[0]))
+	copy(out[96:], g.f.toBytes(&p[1]))
+	return out
+}
+
+// EncodePoint encodes a point into 128 bytes.
+func (g *G2) EncodePoint(p *PointG2) []byte {
+	// outRaw is 96 bytes
+	outRaw := g.ToBytes(p)
+	out := make([]byte, 256)
+	// encode x
+	copy(out[16:16+48], outRaw[48:96])
+	copy(out[80:80+48], outRaw[:48])
+	// encode y
+	copy(out[144:144+48], outRaw[144:])
+	copy(out[208:208+48], outRaw[96:144])
+	return out
+}
+
+// New creates a new G2 Point which is equal to zero in other words point at infinity.
+func (g *G2) New() *PointG2 {
+	return new(PointG2).Zero()
+}
+
+// Zero returns a new G2 Point which is equal to point at infinity.
+func (g *G2) Zero() *PointG2 {
+	return new(PointG2).Zero()
+}
+
+// One returns a new G2 Point which is equal to generator point.
+func (g *G2) One() *PointG2 {
+	p := &PointG2{}
+	return p.Set(&g2One)
+}
+
+// IsZero returns true if given point is equal to zero.
+func (g *G2) IsZero(p *PointG2) bool {
+	return p[2].isZero()
+}
+
+// Equal checks if given two G2 point is equal in their affine form.
+func (g *G2) Equal(p1, p2 *PointG2) bool {
+	if g.IsZero(p1) {
+		return g.IsZero(p2)
+	}
+	if g.IsZero(p2) {
+		return g.IsZero(p1)
+	}
+	t := g.t
+	g.f.square(t[0], &p1[2])
+	g.f.square(t[1], &p2[2])
+	g.f.mul(t[2], t[0], &p2[0])
+	g.f.mul(t[3], t[1], &p1[0])
+	g.f.mul(t[0], t[0], &p1[2])
+	g.f.mul(t[1], t[1], &p2[2])
+	g.f.mul(t[1], t[1], &p1[1])
+	g.f.mul(t[0], t[0], &p2[1])
+	return t[0].equal(t[1]) && t[2].equal(t[3])
+}
+
+// InCorrectSubgroup checks whether given point is in correct subgroup.
+func (g *G2) InCorrectSubgroup(p *PointG2) bool {
+	tmp := &PointG2{}
+	g.MulScalar(tmp, p, q)
+	return g.IsZero(tmp)
+}
+
+// IsOnCurve checks a G2 point is on curve.
+func (g *G2) IsOnCurve(p *PointG2) bool {
+	if g.IsZero(p) {
+		return true
+	}
+	t := g.t
+	g.f.square(t[0], &p[1])
+	g.f.square(t[1], &p[0])
+	g.f.mul(t[1], t[1], &p[0])
+	g.f.square(t[2], &p[2])
+	g.f.square(t[3], t[2])
+	g.f.mul(t[2], t[2], t[3])
+	g.f.mul(t[2], b2, t[2])
+	g.f.add(t[1], t[1], t[2])
+	return t[0].equal(t[1])
+}
+
+// IsAffine checks a G2 point whether it is in affine form.
+func (g *G2) IsAffine(p *PointG2) bool {
+	return p[2].isOne()
+}
+
+// Affine calculates affine form of given G2 point.
+func (g *G2) Affine(p *PointG2) *PointG2 {
+	if g.IsZero(p) {
+		return p
+	}
+	if !g.IsAffine(p) {
+		t := g.t
+		g.f.inverse(t[0], &p[2])
+		g.f.square(t[1], t[0])
+		g.f.mul(&p[0], &p[0], t[1])
+		g.f.mul(t[0], t[0], t[1])
+		g.f.mul(&p[1], &p[1], t[0])
+		p[2].one()
+	}
+	return p
+}
+
+// Add adds two G2 points p1, p2 and assigns the result to point at first argument.
+func (g *G2) Add(r, p1, p2 *PointG2) *PointG2 {
+	// http://www.hyperelliptic.org/EFD/gp/auto-shortw-jacobian-0.html#addition-add-2007-bl
+	if g.IsZero(p1) {
+		return r.Set(p2)
+	}
+	if g.IsZero(p2) {
+		return r.Set(p1)
+	}
+	t := g.t
+	g.f.square(t[7], &p1[2])
+	g.f.mul(t[1], &p2[0], t[7])
+	g.f.mul(t[2], &p1[2], t[7])
+	g.f.mul(t[0], &p2[1], t[2])
+	g.f.square(t[8], &p2[2])
+	g.f.mul(t[3], &p1[0], t[8])
+	g.f.mul(t[4], &p2[2], t[8])
+	g.f.mul(t[2], &p1[1], t[4])
+	if t[1].equal(t[3]) {
+		if t[0].equal(t[2]) {
+			return g.Double(r, p1)
+		} else {
+			return r.Zero()
+		}
+	}
+	g.f.sub(t[1], t[1], t[3])
+	g.f.double(t[4], t[1])
+	g.f.square(t[4], t[4])
+	g.f.mul(t[5], t[1], t[4])
+	g.f.sub(t[0], t[0], t[2])
+	g.f.double(t[0], t[0])
+	g.f.square(t[6], t[0])
+	g.f.sub(t[6], t[6], t[5])
+	g.f.mul(t[3], t[3], t[4])
+	g.f.double(t[4], t[3])
+	g.f.sub(&r[0], t[6], t[4])
+	g.f.sub(t[4], t[3], &r[0])
+	g.f.mul(t[6], t[2], t[5])
+	g.f.double(t[6], t[6])
+	g.f.mul(t[0], t[0], t[4])
+	g.f.sub(&r[1], t[0], t[6])
+	g.f.add(t[0], &p1[2], &p2[2])
+	g.f.square(t[0], t[0])
+	g.f.sub(t[0], t[0], t[7])
+	g.f.sub(t[0], t[0], t[8])
+	g.f.mul(&r[2], t[0], t[1])
+	return r
+}
+
+// Double doubles a G2 point p and assigns the result to the point at first argument.
+func (g *G2) Double(r, p *PointG2) *PointG2 {
+	// http://www.hyperelliptic.org/EFD/gp/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
+	if g.IsZero(p) {
+		return r.Set(p)
+	}
+	t := g.t
+	g.f.square(t[0], &p[0])
+	g.f.square(t[1], &p[1])
+	g.f.square(t[2], t[1])
+	g.f.add(t[1], &p[0], t[1])
+	g.f.square(t[1], t[1])
+	g.f.sub(t[1], t[1], t[0])
+	g.f.sub(t[1], t[1], t[2])
+	g.f.double(t[1], t[1])
+	g.f.double(t[3], t[0])
+	g.f.add(t[0], t[3], t[0])
+	g.f.square(t[4], t[0])
+	g.f.double(t[3], t[1])
+	g.f.sub(&r[0], t[4], t[3])
+	g.f.sub(t[1], t[1], &r[0])
+	g.f.double(t[2], t[2])
+	g.f.double(t[2], t[2])
+	g.f.double(t[2], t[2])
+	g.f.mul(t[0], t[0], t[1])
+	g.f.sub(t[1], t[0], t[2])
+	g.f.mul(t[0], &p[1], &p[2])
+	r[1].set(t[1])
+	g.f.double(&r[2], t[0])
+	return r
+}
+
+// Neg negates a G2 point p and assigns the result to the point at first argument.
+func (g *G2) Neg(r, p *PointG2) *PointG2 {
+	r[0].set(&p[0])
+	g.f.neg(&r[1], &p[1])
+	r[2].set(&p[2])
+	return r
+}
+
+// Sub subtracts two G2 points p1, p2 and assigns the result to point at first argument.
+func (g *G2) Sub(c, a, b *PointG2) *PointG2 {
+	d := &PointG2{}
+	g.Neg(d, b)
+	g.Add(c, a, d)
+	return c
+}
+
+// MulScalar multiplies a point by given scalar value in big.Int and assigns the result to point at first argument.
+func (g *G2) MulScalar(c, p *PointG2, e *big.Int) *PointG2 {
+	q, n := &PointG2{}, &PointG2{}
+	n.Set(p)
+	l := e.BitLen()
+	for i := 0; i < l; i++ {
+		if e.Bit(i) == 1 {
+			g.Add(q, q, n)
+		}
+		g.Double(n, n)
+	}
+	return c.Set(q)
+}
+
+// ClearCofactor maps given a G2 point to correct subgroup
+func (g *G2) ClearCofactor(p *PointG2) {
+	g.MulScalar(p, p, cofactorEFFG2)
+}
+
+// MultiExp calculates multi exponentiation. Given pairs of G2 point and scalar values
+// (P_0, e_0), (P_1, e_1), ... (P_n, e_n) calculates r = e_0 * P_0 + e_1 * P_1 + ... + e_n * P_n
+// Length of points and scalars are expected to be equal, otherwise an error is returned.
+// Result is assigned to point at first argument.
+func (g *G2) MultiExp(r *PointG2, points []*PointG2, powers []*big.Int) (*PointG2, error) {
+	if len(points) != len(powers) {
+		return nil, errors.New("point and scalar vectors should be in same length")
+	}
+	var c uint32 = 3
+	if len(powers) >= 32 {
+		c = uint32(math.Ceil(math.Log10(float64(len(powers)))))
+	}
+	bucketSize, numBits := (1<<c)-1, uint32(g.Q().BitLen())
+	windows := make([]*PointG2, numBits/c+1)
+	bucket := make([]*PointG2, bucketSize)
+	acc, sum := g.New(), g.New()
+	for i := 0; i < bucketSize; i++ {
+		bucket[i] = g.New()
+	}
+	mask := (uint64(1) << c) - 1
+	j := 0
+	var cur uint32
+	for cur <= numBits {
+		acc.Zero()
+		bucket = make([]*PointG2, (1<<c)-1)
+		for i := 0; i < len(bucket); i++ {
+			bucket[i] = g.New()
+		}
+		for i := 0; i < len(powers); i++ {
+			s0 := powers[i].Uint64()
+			index := uint(s0 & mask)
+			if index != 0 {
+				g.Add(bucket[index-1], bucket[index-1], points[i])
+			}
+			powers[i] = new(big.Int).Rsh(powers[i], uint(c))
+		}
+		sum.Zero()
+		for i := len(bucket) - 1; i >= 0; i-- {
+			g.Add(sum, sum, bucket[i])
+			g.Add(acc, acc, sum)
+		}
+		windows[j] = g.New()
+		windows[j].Set(acc)
+		j++
+		cur += c
+	}
+	acc.Zero()
+	for i := len(windows) - 1; i >= 0; i-- {
+		for j := uint32(0); j < c; j++ {
+			g.Double(acc, acc)
+		}
+		g.Add(acc, acc, windows[i])
+	}
+	return r.Set(acc), nil
+}
+
+// MapToCurve given a byte slice returns a valid G2 point.
+// This mapping function implements the Simplified Shallue-van de Woestijne-Ulas method.
+// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-05#section-6.6.2
+// Input byte slice should be a valid field element, otherwise an error is returned.
+func (g *G2) MapToCurve(in []byte) (*PointG2, error) {
+	fp2 := g.f
+	u, err := fp2.fromBytes(in)
+	if err != nil {
+		return nil, err
+	}
+	x, y := swuMapG2(fp2, u)
+	isogenyMapG2(fp2, x, y)
+	z := new(fe2).one()
+	q := &PointG2{*x, *y, *z}
+	g.ClearCofactor(q)
+	return g.Affine(q), nil
+}

crypto/bls12381/g2_test.go

@@ -0,0 +1,286 @@
+package bls12381
+
+import (
+	"bytes"
+	"crypto/rand"
+	"math/big"
+	"testing"
+
+	"github.com/ethereum/go-ethereum/common"
+)
+
+func (g *G2) one() *PointG2 {
+	one, _ := g.fromBytesUnchecked(
+		common.FromHex("" +
+			"13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e" +
+			"024aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8" +
+			"0606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be" +
+			"0ce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801",
+		),
+	)
+	return one
+}
+
+func (g *G2) rand() *PointG2 {
+	k, err := rand.Int(rand.Reader, q)
+	if err != nil {
+		panic(err)
+	}
+	return g.MulScalar(&PointG2{}, g.one(), k)
+}
+
+func TestG2Serialization(t *testing.T) {
+	g2 := NewG2()
+	for i := 0; i < fuz; i++ {
+		a := g2.rand()
+		buf := g2.ToBytes(a)
+		b, err := g2.FromBytes(buf)
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !g2.Equal(a, b) {
+			t.Fatal("bad serialization from/to")
+		}
+	}
+	for i := 0; i < fuz; i++ {
+		a := g2.rand()
+		encoded := g2.EncodePoint(a)
+		b, err := g2.DecodePoint(encoded)
+		if err != nil {
+			t.Fatal(err)
+		}
+		if !g2.Equal(a, b) {
+			t.Fatal("bad serialization encode/decode")
+		}
+	}
+}
+
+func TestG2IsOnCurve(t *testing.T) {
+	g := NewG2()
+	zero := g.Zero()
+	if !g.IsOnCurve(zero) {
+		t.Fatal("zero must be on curve")
+	}
+	one := new(fe2).one()
+	p := &PointG2{*one, *one, *one}
+	if g.IsOnCurve(p) {
+		t.Fatal("(1, 1) is not on curve")
+	}
+}
+
+func TestG2AdditiveProperties(t *testing.T) {
+	g := NewG2()
+	t0, t1 := g.New(), g.New()
+	zero := g.Zero()
+	for i := 0; i < fuz; i++ {
+		a, b := g.rand(), g.rand()
+		_, _, _ = b, t1, zero
+		g.Add(t0, a, zero)
+		if !g.Equal(t0, a) {
+			t.Fatal("a + 0 == a")
+		}
+		g.Add(t0, zero, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("0 + 0 == 0")
+		}
+		g.Sub(t0, a, zero)
+		if !g.Equal(t0, a) {
+			t.Fatal("a - 0 == a")
+		}
+		g.Sub(t0, zero, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("0 - 0 == 0")
+		}
+		g.Neg(t0, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("- 0 == 0")
+		}
+		g.Sub(t0, zero, a)
+		g.Neg(t0, t0)
+		if !g.Equal(t0, a) {
+			t.Fatal(" - (0 - a) == a")
+		}
+		g.Double(t0, zero)
+		if !g.Equal(t0, zero) {
+			t.Fatal("2 * 0 == 0")
+		}
+		g.Double(t0, a)
+		g.Sub(t0, t0, a)
+		if !g.Equal(t0, a) || !g.IsOnCurve(t0) {
+			t.Fatal(" (2 * a) - a == a")
+		}
+		g.Add(t0, a, b)
+		g.Add(t1, b, a)
+		if !g.Equal(t0, t1) {
+			t.Fatal("a + b == b + a")
+		}
+		g.Sub(t0, a, b)
+		g.Sub(t1, b, a)
+		g.Neg(t1, t1)
+		if !g.Equal(t0, t1) {
+			t.Fatal("a - b == - ( b - a )")
+		}
+		c := g.rand()
+		g.Add(t0, a, b)
+		g.Add(t0, t0, c)
+		g.Add(t1, a, c)
+		g.Add(t1, t1, b)
+		if !g.Equal(t0, t1) {
+			t.Fatal("(a + b) + c == (a + c ) + b")
+		}
+		g.Sub(t0, a, b)
+		g.Sub(t0, t0, c)
+		g.Sub(t1, a, c)
+		g.Sub(t1, t1, b)
+		if !g.Equal(t0, t1) {
+			t.Fatal("(a - b) - c == (a - c) -b")
+		}
+	}
+}
+
+func TestG2MultiplicativeProperties(t *testing.T) {
+	g := NewG2()
+	t0, t1 := g.New(), g.New()
+	zero := g.Zero()
+	for i := 0; i < fuz; i++ {
+		a := g.rand()
+		s1, s2, s3 := randScalar(q), randScalar(q), randScalar(q)
+		sone := big.NewInt(1)
+		g.MulScalar(t0, zero, s1)
+		if !g.Equal(t0, zero) {
+			t.Fatal(" 0 ^ s == 0")
+		}
+		g.MulScalar(t0, a, sone)
+		if !g.Equal(t0, a) {
+			t.Fatal(" a ^ 1 == a")
+		}
+		g.MulScalar(t0, zero, s1)
+		if !g.Equal(t0, zero) {
+			t.Fatal(" 0 ^ s == a")
+		}
+		g.MulScalar(t0, a, s1)
+		g.MulScalar(t0, t0, s2)
+		s3.Mul(s1, s2)
+		g.MulScalar(t1, a, s3)
+		if !g.Equal(t0, t1) {
+			t.Errorf(" (a ^ s1) ^ s2 == a ^ (s1 * s2)")
+		}
+		g.MulScalar(t0, a, s1)
+		g.MulScalar(t1, a, s2)
+		g.Add(t0, t0, t1)
+		s3.Add(s1, s2)
+		g.MulScalar(t1, a, s3)
+		if !g.Equal(t0, t1) {
+			t.Errorf(" (a ^ s1) + (a ^ s2) == a ^ (s1 + s2)")
+		}
+	}
+}
+
+func TestG2MultiExpExpected(t *testing.T) {
+	g := NewG2()
+	one := g.one()
+	var scalars [2]*big.Int
+	var bases [2]*PointG2
+	scalars[0] = big.NewInt(2)
+	scalars[1] = big.NewInt(3)
+	bases[0], bases[1] = new(PointG2).Set(one), new(PointG2).Set(one)
+	expected, result := g.New(), g.New()
+	g.MulScalar(expected, one, big.NewInt(5))
+	_, _ = g.MultiExp(result, bases[:], scalars[:])
+	if !g.Equal(expected, result) {
+		t.Fatal("bad multi-exponentiation")
+	}
+}
+
+func TestG2MultiExpBatch(t *testing.T) {
+	g := NewG2()
+	one := g.one()
+	n := 1000
+	bases := make([]*PointG2, n)
+	scalars := make([]*big.Int, n)
+	// scalars: [s0,s1 ... s(n-1)]
+	// bases: [P0,P1,..P(n-1)] = [s(n-1)*G, s(n-2)*G ... s0*G]
+	for i, j := 0, n-1; i < n; i, j = i+1, j-1 {
+		scalars[j], _ = rand.Int(rand.Reader, big.NewInt(100000))
+		bases[i] = g.New()
+		g.MulScalar(bases[i], one, scalars[j])
+	}
+	// expected: s(n-1)*P0 + s(n-2)*P1 + s0*P(n-1)
+	expected, tmp := g.New(), g.New()
+	for i := 0; i < n; i++ {
+		g.MulScalar(tmp, bases[i], scalars[i])
+		g.Add(expected, expected, tmp)
+	}
+	result := g.New()
+	_, _ = g.MultiExp(result, bases, scalars)
+	if !g.Equal(expected, result) {
+		t.Fatal("bad multi-exponentiation")
+	}
+}
+
+func TestG2MapToCurve(t *testing.T) {
+	for i, v := range []struct {
+		u        []byte
+		expected []byte
+	}{
+		{
+			u:        make([]byte, 96),
+			expected: common.FromHex("0a67d12118b5a35bb02d2e86b3ebfa7e23410db93de39fb06d7025fa95e96ffa428a7a27c3ae4dd4b40bd251ac658892" + "018320896ec9eef9d5e619848dc29ce266f413d02dd31d9b9d44ec0c79cd61f18b075ddba6d7bd20b7ff27a4b324bfce" + "04c69777a43f0bda07679d5805e63f18cf4e0e7c6112ac7f70266d199b4f76ae27c6269a3ceebdae30806e9a76aadf5c" + "0260e03644d1a2c321256b3246bad2b895cad13890cbe6f85df55106a0d334604fb143c7a042d878006271865bc35941"),
+		},
+		{
+			u:        common.FromHex("025fbc07711ba267b7e70c82caa70a16fbb1d470ae24ceef307f5e2000751677820b7013ad4e25492dcf30052d3e5eca" + "0e775d7827adf385b83e20e4445bd3fab21d7b4498426daf3c1d608b9d41e9edb5eda0df022e753b8bb4bc3bb7db4914"),
+			expected: common.FromHex("0d4333b77becbf9f9dfa3ca928002233d1ecc854b1447e5a71f751c9042d000f42db91c1d6649a5e0ad22bd7bf7398b8" + "027e4bfada0b47f9f07e04aec463c7371e68f2fd0c738cd517932ea3801a35acf09db018deda57387b0f270f7a219e4d" + "0cc76dc777ea0d447e02a41004f37a0a7b1fafb6746884e8d9fc276716ccf47e4e0899548a2ec71c2bdf1a2a50e876db" + "053674cba9ef516ddc218fedb37324e6c47de27f88ab7ef123b006127d738293c0277187f7e2f80a299a24d84ed03da7"),
+		},
+		{
+			u:        common.FromHex("1870a7dbfd2a1deb74015a3546b20f598041bf5d5202997956a94a368d30d3f70f18cdaa1d33ce970a4e16af961cbdcb" + "045ab31ce4b5a8ba7c4b2851b64f063a66cd1223d3c85005b78e1beee65e33c90ceef0244e45fc45a5e1d6eab6644fdb"),
+			expected: common.FromHex("18f0f87b40af67c056915dbaf48534c592524e82c1c2b50c3734d02c0172c80df780a60b5683759298a3303c5d942778" + "09349f1cb5b2e55489dcd45a38545343451cc30a1681c57acd4fb0a6db125f8352c09f4a67eb7d1d8242cb7d3405f97b" + "10a2ba341bc689ab947b7941ce6ef39be17acaab067bd32bd652b471ab0792c53a2bd03bdac47f96aaafe96e441f63c0" + "02f2d9deb2c7742512f5b8230bf0fd83ea42279d7d39779543c1a43b61c885982b611f6a7a24b514995e8a098496b811"),
+		},
+		{
+			u:        common.FromHex("088fe329b054db8a6474f21a7fbfdf17b4c18044db299d9007af582c3d5f17d00e56d99921d4b5640fce44b05219b5de" + "0b6e6135a4cd31ba980ddbd115ac48abef7ec60e226f264d7befe002c165f3a496f36f76dd524efd75d17422558d10b4"),
+			expected: common.FromHex("19808ec5930a53c7cf5912ccce1cc33f1b3dcff24a53ce1cc4cba41fd6996dbed4843ccdd2eaf6a0cd801e562718d163" + "149fe43777d34f0d25430dea463889bd9393bdfb4932946db23671727081c629ebb98a89604f3433fba1c67d356a4af7" + "04783e391c30c83f805ca271e353582fdf19d159f6a4c39b73acbb637a9b8ac820cfbe2738d683368a7c07ad020e3e33" + "04c0d6793a766233b2982087b5f4a254f261003ccb3262ea7c50903eecef3e871d1502c293f9e063d7d293f6384f4551"),
+		},
+		{
+			u:        common.FromHex("03df16a66a05e4c1188c234788f43896e0565bfb64ac49b9639e6b284cc47dad73c47bb4ea7e677db8d496beb907fbb6" + "0f45b50647d67485295aa9eb2d91a877b44813677c67c8d35b2173ff3ba95f7bd0806f9ca8a1436b8b9d14ee81da4d7e"),
+			expected: common.FromHex("0b8e0094c886487870372eb6264613a6a087c7eb9804fab789be4e47a57b29eb19b1983a51165a1b5eb025865e9fc63a" + "0804152cbf8474669ad7d1796ab92d7ca21f32d8bed70898a748ed4e4e0ec557069003732fc86866d938538a2ae95552" + "14c80f068ece15a3936bb00c3c883966f75b4e8d9ddde809c11f781ab92d23a2d1d103ad48f6f3bb158bf3e3a4063449" + "09e5c8242dd7281ad32c03fe4af3f19167770016255fb25ad9b67ec51d62fade31a1af101e8f6172ec2ee8857662be3a"),
+		},
+	} {
+		g := NewG2()
+		p0, err := g.MapToCurve(v.u)
+		if err != nil {
+			t.Fatal("map to curve fails", i, err)
+		}
+		if !bytes.Equal(g.ToBytes(p0), v.expected) {
+			t.Fatal("map to curve fails", i)
+		}
+	}
+}
+
+func BenchmarkG2Add(t *testing.B) {
+	g2 := NewG2()
+	a, b, c := g2.rand(), g2.rand(), PointG2{}
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		g2.Add(&c, a, b)
+	}
+}
+
+func BenchmarkG2Mul(t *testing.B) {
+	g2 := NewG2()
+	a, e, c := g2.rand(), q, PointG2{}
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		g2.MulScalar(&c, a, e)
+	}
+}
+
+func BenchmarkG2SWUMap(t *testing.B) {
+	a := make([]byte, 96)
+	g2 := NewG2()
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		_, err := g2.MapToCurve(a)
+		if err != nil {
+			t.Fatal(err)
+		}
+	}
+}

crypto/bls12381/gt.go

@@ -0,0 +1,121 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+)
+
+// E is type for target group element
+type E = fe12
+
+// GT is type for target multiplicative group GT.
+type GT struct {
+	fp12 *fp12
+}
+
+func (e *E) Set(e2 *E) *E {
+	return e.set(e2)
+}
+
+// One sets a new target group element to one
+func (e *E) One() *E {
+	e = new(fe12).one()
+	return e
+}
+
+// IsOne returns true if given element equals to one
+func (e *E) IsOne() bool {
+	return e.isOne()
+}
+
+// Equal returns true if given two element is equal, otherwise returns false
+func (g *E) Equal(g2 *E) bool {
+	return g.equal(g2)
+}
+
+// NewGT constructs new target group instance.
+func NewGT() *GT {
+	fp12 := newFp12(nil)
+	return &GT{fp12}
+}
+
+// Q returns group order in big.Int.
+func (g *GT) Q() *big.Int {
+	return new(big.Int).Set(q)
+}
+
+// FromBytes expects 576 byte input and returns target group element
+// FromBytes returns error if given element is not on correct subgroup.
+func (g *GT) FromBytes(in []byte) (*E, error) {
+	e, err := g.fp12.fromBytes(in)
+	if err != nil {
+		return nil, err
+	}
+	if !g.IsValid(e) {
+		return e, errors.New("invalid element")
+	}
+	return e, nil
+}
+
+// ToBytes serializes target group element.
+func (g *GT) ToBytes(e *E) []byte {
+	return g.fp12.toBytes(e)
+}
+
+// IsValid checks whether given target group element is in correct subgroup.
+func (g *GT) IsValid(e *E) bool {
+	r := g.New()
+	g.fp12.exp(r, e, q)
+	return r.isOne()
+}
+
+// New initializes a new target group element which is equal to one
+func (g *GT) New() *E {
+	return new(E).One()
+}
+
+// Add adds two field element `a` and `b` and assigns the result to the element in first argument.
+func (g *GT) Add(c, a, b *E) {
+	g.fp12.add(c, a, b)
+}
+
+// Sub subtracts two field element `a` and `b`, and assigns the result to the element in first argument.
+func (g *GT) Sub(c, a, b *E) {
+	g.fp12.sub(c, a, b)
+}
+
+// Mul multiplies two field element `a` and `b` and assigns the result to the element in first argument.
+func (g *GT) Mul(c, a, b *E) {
+	g.fp12.mul(c, a, b)
+}
+
+// Square squares an element `a` and assigns the result to the element in first argument.
+func (g *GT) Square(c, a *E) {
+	g.fp12.cyclotomicSquare(c, a)
+}
+
+// Exp exponents an element `a` by a scalar `s` and assigns the result to the element in first argument.
+func (g *GT) Exp(c, a *E, s *big.Int) {
+	g.fp12.cyclotomicExp(c, a, s)
+}
+
+// Inverse inverses an element `a` and assigns the result to the element in first argument.
+func (g *GT) Inverse(c, a *E) {
+	g.fp12.inverse(c, a)
+}

crypto/bls12381/isogeny.go

@@ -0,0 +1,227 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+// isogenyMapG1 applies 11-isogeny map for BLS12-381 G1 defined at draft-irtf-cfrg-hash-to-curve-06.
+func isogenyMapG1(x, y *fe) {
+	// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06#appendix-C.2
+	params := isogenyConstansG1
+	degree := 15
+	xNum, xDen, yNum, yDen := new(fe), new(fe), new(fe), new(fe)
+	xNum.set(params[0][degree])
+	xDen.set(params[1][degree])
+	yNum.set(params[2][degree])
+	yDen.set(params[3][degree])
+	for i := degree - 1; i >= 0; i-- {
+		mul(xNum, xNum, x)
+		mul(xDen, xDen, x)
+		mul(yNum, yNum, x)
+		mul(yDen, yDen, x)
+		add(xNum, xNum, params[0][i])
+		add(xDen, xDen, params[1][i])
+		add(yNum, yNum, params[2][i])
+		add(yDen, yDen, params[3][i])
+	}
+	inverse(xDen, xDen)
+	inverse(yDen, yDen)
+	mul(xNum, xNum, xDen)
+	mul(yNum, yNum, yDen)
+	mul(yNum, yNum, y)
+	x.set(xNum)
+	y.set(yNum)
+}
+
+// isogenyMapG2 applies 11-isogeny map for BLS12-381 G1 defined at draft-irtf-cfrg-hash-to-curve-06.
+func isogenyMapG2(e *fp2, x, y *fe2) {
+	if e == nil {
+		e = newFp2()
+	}
+	// https://tools.ietf.org/html/draft-irtf-cfrg-hash-to-curve-06#appendix-C.2
+	params := isogenyConstantsG2
+	degree := 3
+	xNum := new(fe2).set(params[0][degree])
+	xDen := new(fe2).set(params[1][degree])
+	yNum := new(fe2).set(params[2][degree])
+	yDen := new(fe2).set(params[3][degree])
+	for i := degree - 1; i >= 0; i-- {
+		e.mul(xNum, xNum, x)
+		e.mul(xDen, xDen, x)
+		e.mul(yNum, yNum, x)
+		e.mul(yDen, yDen, x)
+		e.add(xNum, xNum, params[0][i])
+		e.add(xDen, xDen, params[1][i])
+		e.add(yNum, yNum, params[2][i])
+		e.add(yDen, yDen, params[3][i])
+	}
+	e.inverse(xDen, xDen)
+	e.inverse(yDen, yDen)
+	e.mul(xNum, xNum, xDen)
+	e.mul(yNum, yNum, yDen)
+	e.mul(yNum, yNum, y)
+	x.set(xNum)
+	y.set(yNum)
+}
+
+var isogenyConstansG1 = [4][16]*fe{
+	[16]*fe{
+		&fe{0x4d18b6f3af00131c, 0x19fa219793fee28c, 0x3f2885f1467f19ae, 0x23dcea34f2ffb304, 0xd15b58d2ffc00054, 0x0913be200a20bef4},
+		&fe{0x898985385cdbbd8b, 0x3c79e43cc7d966aa, 0x1597e193f4cd233a, 0x8637ef1e4d6623ad, 0x11b22deed20d827b, 0x07097bc5998784ad},
+		&fe{0xa542583a480b664b, 0xfc7169c026e568c6, 0x5ba2ef314ed8b5a6, 0x5b5491c05102f0e7, 0xdf6e99707d2a0079, 0x0784151ed7605524},
+		&fe{0x494e212870f72741, 0xab9be52fbda43021, 0x26f5577994e34c3d, 0x049dfee82aefbd60, 0x65dadd7828505289, 0x0e93d431ea011aeb},
+		&fe{0x90ee774bd6a74d45, 0x7ada1c8a41bfb185, 0x0f1a8953b325f464, 0x104c24211be4805c, 0x169139d319ea7a8f, 0x09f20ead8e532bf6},
+		&fe{0x6ddd93e2f43626b7, 0xa5482c9aa1ccd7bd, 0x143245631883f4bd, 0x2e0a94ccf77ec0db, 0xb0282d480e56489f, 0x18f4bfcbb4368929},
+		&fe{0x23c5f0c953402dfd, 0x7a43ff6958ce4fe9, 0x2c390d3d2da5df63, 0xd0df5c98e1f9d70f, 0xffd89869a572b297, 0x1277ffc72f25e8fe},
+		&fe{0x79f4f0490f06a8a6, 0x85f894a88030fd81, 0x12da3054b18b6410, 0xe2a57f6505880d65, 0xbba074f260e400f1, 0x08b76279f621d028},
+		&fe{0xe67245ba78d5b00b, 0x8456ba9a1f186475, 0x7888bff6e6b33bb4, 0xe21585b9a30f86cb, 0x05a69cdcef55feee, 0x09e699dd9adfa5ac},
+		&fe{0x0de5c357bff57107, 0x0a0db4ae6b1a10b2, 0xe256bb67b3b3cd8d, 0x8ad456574e9db24f, 0x0443915f50fd4179, 0x098c4bf7de8b6375},
+		&fe{0xe6b0617e7dd929c7, 0xfe6e37d442537375, 0x1dafdeda137a489e, 0xe4efd1ad3f767ceb, 0x4a51d8667f0fe1cf, 0x054fdf4bbf1d821c},
+		&fe{0x72db2a50658d767b, 0x8abf91faa257b3d5, 0xe969d6833764ab47, 0x464170142a1009eb, 0xb14f01aadb30be2f, 0x18ae6a856f40715d},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+	},
+	[16]*fe{
+		&fe{0xb962a077fdb0f945, 0xa6a9740fefda13a0, 0xc14d568c3ed6c544, 0xb43fc37b908b133e, 0x9c0b3ac929599016, 0x0165aa6c93ad115f},
+		&fe{0x23279a3ba506c1d9, 0x92cfca0a9465176a, 0x3b294ab13755f0ff, 0x116dda1c5070ae93, 0xed4530924cec2045, 0x083383d6ed81f1ce},
+		&fe{0x9885c2a6449fecfc, 0x4a2b54ccd37733f0, 0x17da9ffd8738c142, 0xa0fba72732b3fafd, 0xff364f36e54b6812, 0x0f29c13c660523e2},
+		&fe{0xe349cc118278f041, 0xd487228f2f3204fb, 0xc9d325849ade5150, 0x43a92bd69c15c2df, 0x1c2c7844bc417be4, 0x12025184f407440c},
+		&fe{0x587f65ae6acb057b, 0x1444ef325140201f, 0xfbf995e71270da49, 0xccda066072436a42, 0x7408904f0f186bb2, 0x13b93c63edf6c015},
+		&fe{0xfb918622cd141920, 0x4a4c64423ecaddb4, 0x0beb232927f7fb26, 0x30f94df6f83a3dc2, 0xaeedd424d780f388, 0x06cc402dd594bbeb},
+		&fe{0xd41f761151b23f8f, 0x32a92465435719b3, 0x64f436e888c62cb9, 0xdf70a9a1f757c6e4, 0x6933a38d5b594c81, 0x0c6f7f7237b46606},
+		&fe{0x693c08747876c8f7, 0x22c9850bf9cf80f0, 0x8e9071dab950c124, 0x89bc62d61c7baf23, 0xbc6be2d8dad57c23, 0x17916987aa14a122},
+		&fe{0x1be3ff439c1316fd, 0x9965243a7571dfa7, 0xc7f7f62962f5cd81, 0x32c6aa9af394361c, 0xbbc2ee18e1c227f4, 0x0c102cbac531bb34},
+		&fe{0x997614c97bacbf07, 0x61f86372b99192c0, 0x5b8c95fc14353fc3, 0xca2b066c2a87492f, 0x16178f5bbf698711, 0x12a6dcd7f0f4e0e8},
+		&fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+		&fe{0, 0, 0, 0, 0, 0},
+	},
+	[16]*fe{
+		&fe{0x2b567ff3e2837267, 0x1d4d9e57b958a767, 0xce028fea04bd7373, 0xcc31a30a0b6cd3df, 0x7d7b18a682692693, 0x0d300744d42a0310},
+		&fe{0x99c2555fa542493f, 0xfe7f53cc4874f878, 0x5df0608b8f97608a, 0x14e03832052b49c8, 0x706326a6957dd5a4, 0x0a8dadd9c2414555},
+		&fe{0x13d942922a5cf63a, 0x357e33e36e261e7d, 0xcf05a27c8456088d, 0x0000bd1de7ba50f0, 0x83d0c7532f8c1fde, 0x13f70bf38bbf2905},
+		&fe{0x5c57fd95bfafbdbb, 0x28a359a65e541707, 0x3983ceb4f6360b6d, 0xafe19ff6f97e6d53, 0xb3468f4550192bf7, 0x0bb6cde49d8ba257},
+		&fe{0x590b62c7ff8a513f, 0x314b4ce372cacefd, 0x6bef32ce94b8a800, 0x6ddf84a095713d5f, 0x64eace4cb0982191, 0x0386213c651b888d},
+		&fe{0xa5310a31111bbcdd, 0xa14ac0f5da148982, 0xf9ad9cc95423d2e9, 0xaa6ec095283ee4a7, 0xcf5b1f022e1c9107, 0x01fddf5aed881793},
+		&fe{0x65a572b0d7a7d950, 0xe25c2d8183473a19, 0xc2fcebe7cb877dbd, 0x05b2d36c769a89b0, 0xba12961be86e9efb, 0x07eb1b29c1dfde1f},
+		&fe{0x93e09572f7c4cd24, 0x364e929076795091, 0x8569467e68af51b5, 0xa47da89439f5340f, 0xf4fa918082e44d64, 0x0ad52ba3e6695a79},
+		&fe{0x911429844e0d5f54, 0xd03f51a3516bb233, 0x3d587e5640536e66, 0xfa86d2a3a9a73482, 0xa90ed5adf1ed5537, 0x149c9c326a5e7393},
+		&fe{0x462bbeb03c12921a, 0xdc9af5fa0a274a17, 0x9a558ebde836ebed, 0x649ef8f11a4fae46, 0x8100e1652b3cdc62, 0x1862bd62c291dacb},
+		&fe{0x05c9b8ca89f12c26, 0x0194160fa9b9ac4f, 0x6a643d5a6879fa2c, 0x14665bdd8846e19d, 0xbb1d0d53af3ff6bf, 0x12c7e1c3b28962e5},
+		&fe{0xb55ebf900b8a3e17, 0xfedc77ec1a9201c4, 0x1f07db10ea1a4df4, 0x0dfbd15dc41a594d, 0x389547f2334a5391, 0x02419f98165871a4},
+		&fe{0xb416af000745fc20, 0x8e563e9d1ea6d0f5, 0x7c763e17763a0652, 0x01458ef0159ebbef, 0x8346fe421f96bb13, 0x0d2d7b829ce324d2},
+		&fe{0x93096bb538d64615, 0x6f2a2619951d823a, 0x8f66b3ea59514fa4, 0xf563e63704f7092f, 0x724b136c4cf2d9fa, 0x046959cfcfd0bf49},
+		&fe{0xea748d4b6e405346, 0x91e9079c2c02d58f, 0x41064965946d9b59, 0xa06731f1d2bbe1ee, 0x07f897e267a33f1b, 0x1017290919210e5f},
+		&fe{0x872aa6c17d985097, 0xeecc53161264562a, 0x07afe37afff55002, 0x54759078e5be6838, 0xc4b92d15db8acca8, 0x106d87d1b51d13b9},
+	},
+	[16]*fe{
+		&fe{0xeb6c359d47e52b1c, 0x18ef5f8a10634d60, 0xddfa71a0889d5b7e, 0x723e71dcc5fc1323, 0x52f45700b70d5c69, 0x0a8b981ee47691f1},
+		&fe{0x616a3c4f5535b9fb, 0x6f5f037395dbd911, 0xf25f4cc5e35c65da, 0x3e50dffea3c62658, 0x6a33dca523560776, 0x0fadeff77b6bfe3e},
+		&fe{0x2be9b66df470059c, 0x24a2c159a3d36742, 0x115dbe7ad10c2a37, 0xb6634a652ee5884d, 0x04fe8bb2b8d81af4, 0x01c2a7a256fe9c41},
+		&fe{0xf27bf8ef3b75a386, 0x898b367476c9073f, 0x24482e6b8c2f4e5f, 0xc8e0bbd6fe110806, 0x59b0c17f7631448a, 0x11037cd58b3dbfbd},
+		&fe{0x31c7912ea267eec6, 0x1dbf6f1c5fcdb700, 0xd30d4fe3ba86fdb1, 0x3cae528fbee9a2a4, 0xb1cce69b6aa9ad9a, 0x044393bb632d94fb},
+		&fe{0xc66ef6efeeb5c7e8, 0x9824c289dd72bb55, 0x71b1a4d2f119981d, 0x104fc1aafb0919cc, 0x0e49df01d942a628, 0x096c3a09773272d4},
+		&fe{0x9abc11eb5fadeff4, 0x32dca50a885728f0, 0xfb1fa3721569734c, 0xc4b76271ea6506b3, 0xd466a75599ce728e, 0x0c81d4645f4cb6ed},
+		&fe{0x4199f10e5b8be45b, 0xda64e495b1e87930, 0xcb353efe9b33e4ff, 0x9e9efb24aa6424c6, 0xf08d33680a237465, 0x0d3378023e4c7406},
+		&fe{0x7eb4ae92ec74d3a5, 0xc341b4aa9fac3497, 0x5be603899e907687, 0x03bfd9cca75cbdeb, 0x564c2935a96bfa93, 0x0ef3c33371e2fdb5},
+		&fe{0x7ee91fd449f6ac2e, 0xe5d5bd5cb9357a30, 0x773a8ca5196b1380, 0xd0fda172174ed023, 0x6cb95e0fa776aead, 0x0d22d5a40cec7cff},
+		&fe{0xf727e09285fd8519, 0xdc9d55a83017897b, 0x7549d8bd057894ae, 0x178419613d90d8f8, 0xfce95ebdeb5b490a, 0x0467ffaef23fc49e},
+		&fe{0xc1769e6a7c385f1b, 0x79bc930deac01c03, 0x5461c75a23ede3b5, 0x6e20829e5c230c45, 0x828e0f1e772a53cd, 0x116aefa749127bff},
+		&fe{0x101c10bf2744c10a, 0xbbf18d053a6a3154, 0xa0ecf39ef026f602, 0xfc009d4996dc5153, 0xb9000209d5bd08d3, 0x189e5fe4470cd73c},
+		&fe{0x7ebd546ca1575ed2, 0xe47d5a981d081b55, 0x57b2b625b6d4ca21, 0xb0a1ba04228520cc, 0x98738983c2107ff3, 0x13dddbc4799d81d6},
+		&fe{0x09319f2e39834935, 0x039e952cbdb05c21, 0x55ba77a9a2f76493, 0xfd04e3dfc6086467, 0xfb95832e7d78742e, 0x0ef9c24eccaf5e0e},
+		&fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+	},
+}
+
+var isogenyConstantsG2 = [4][4]*fe2{
+	[4]*fe2{
+		&fe2{
+			fe{0x47f671c71ce05e62, 0x06dd57071206393e, 0x7c80cd2af3fd71a2, 0x048103ea9e6cd062, 0xc54516acc8d037f6, 0x13808f550920ea41},
+			fe{0x47f671c71ce05e62, 0x06dd57071206393e, 0x7c80cd2af3fd71a2, 0x048103ea9e6cd062, 0xc54516acc8d037f6, 0x13808f550920ea41},
+		},
+		&fe2{
+			fe{0, 0, 0, 0, 0, 0},
+			fe{0x5fe55555554c71d0, 0x873fffdd236aaaa3, 0x6a6b4619b26ef918, 0x21c2888408874945, 0x2836cda7028cabc5, 0x0ac73310a7fd5abd},
+		},
+		&fe2{
+			fe{0x0a0c5555555971c3, 0xdb0c00101f9eaaae, 0xb1fb2f941d797997, 0xd3960742ef416e1c, 0xb70040e2c20556f4, 0x149d7861e581393b},
+			fe{0xaff2aaaaaaa638e8, 0x439fffee91b55551, 0xb535a30cd9377c8c, 0x90e144420443a4a2, 0x941b66d3814655e2, 0x0563998853fead5e},
+		},
+		&fe2{
+			fe{0x40aac71c71c725ed, 0x190955557a84e38e, 0xd817050a8f41abc3, 0xd86485d4c87f6fb1, 0x696eb479f885d059, 0x198e1a74328002d2},
+			fe{0, 0, 0, 0, 0, 0},
+		},
+	},
+	[4]*fe2{
+		&fe2{
+			fe{0, 0, 0, 0, 0, 0},
+			fe{0x1f3affffff13ab97, 0xf25bfc611da3ff3e, 0xca3757cb3819b208, 0x3e6427366f8cec18, 0x03977bc86095b089, 0x04f69db13f39a952},
+		},
+		&fe2{
+			fe{0x447600000027552e, 0xdcb8009a43480020, 0x6f7ee9ce4a6e8b59, 0xb10330b7c0a95bc6, 0x6140b1fcfb1e54b7, 0x0381be097f0bb4e1},
+			fe{0x7588ffffffd8557d, 0x41f3ff646e0bffdf, 0xf7b1e8d2ac426aca, 0xb3741acd32dbb6f8, 0xe9daf5b9482d581f, 0x167f53e0ba7431b8},
+		},
+		&fe2{
+			fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+			fe{0, 0, 0, 0, 0, 0},
+		},
+		&fe2{
+			fe{0, 0, 0, 0, 0, 0},
+			fe{0, 0, 0, 0, 0, 0},
+		},
+	},
+	[4]*fe2{
+		&fe2{
+			fe{0x96d8f684bdfc77be, 0xb530e4f43b66d0e2, 0x184a88ff379652fd, 0x57cb23ecfae804e1, 0x0fd2e39eada3eba9, 0x08c8055e31c5d5c3},
+			fe{0x96d8f684bdfc77be, 0xb530e4f43b66d0e2, 0x184a88ff379652fd, 0x57cb23ecfae804e1, 0x0fd2e39eada3eba9, 0x08c8055e31c5d5c3},
+		},
+		&fe2{
+			fe{0, 0, 0, 0, 0, 0},
+			fe{0xbf0a71c71c91b406, 0x4d6d55d28b7638fd, 0x9d82f98e5f205aee, 0xa27aa27b1d1a18d5, 0x02c3b2b2d2938e86, 0x0c7d13420b09807f},
+		},
+		&fe2{
+			fe{0xd7f9555555531c74, 0x21cffff748daaaa8, 0x5a9ad1866c9bbe46, 0x4870a2210221d251, 0x4a0db369c0a32af1, 0x02b1ccc429ff56af},
+			fe{0xe205aaaaaaac8e37, 0xfcdc000768795556, 0x0c96011a8a1537dd, 0x1c06a963f163406e, 0x010df44c82a881e6, 0x174f45260f808feb},
+		},
+		&fe2{
+			fe{0xa470bda12f67f35c, 0xc0fe38e23327b425, 0xc9d3d0f2c6f0678d, 0x1c55c9935b5a982e, 0x27f6c0e2f0746764, 0x117c5e6e28aa9054},
+			fe{0, 0, 0, 0, 0, 0},
+		},
+	},
+	[4]*fe2{
+		&fe2{
+			fe{0x0162fffffa765adf, 0x8f7bea480083fb75, 0x561b3c2259e93611, 0x11e19fc1a9c875d5, 0xca713efc00367660, 0x03c6a03d41da1151},
+			fe{0x0162fffffa765adf, 0x8f7bea480083fb75, 0x561b3c2259e93611, 0x11e19fc1a9c875d5, 0xca713efc00367660, 0x03c6a03d41da1151},
+		},
+		&fe2{
+			fe{0, 0, 0, 0, 0, 0},
+			fe{0x5db0fffffd3b02c5, 0xd713f52358ebfdba, 0x5ea60761a84d161a, 0xbb2c75a34ea6c44a, 0x0ac6735921c1119b, 0x0ee3d913bdacfbf6},
+		},
+		&fe2{
+			fe{0x66b10000003affc5, 0xcb1400e764ec0030, 0xa73e5eb56fa5d106, 0x8984c913a0fe09a9, 0x11e10afb78ad7f13, 0x05429d0e3e918f52},
+			fe{0x534dffffffc4aae6, 0x5397ff174c67ffcf, 0xbff273eb870b251d, 0xdaf2827152870915, 0x393a9cbaca9e2dc3, 0x14be74dbfaee5748},
+		},
+		&fe2{
+			fe{0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493},
+			fe{0, 0, 0, 0, 0, 0},
+		},
+	},
+}

crypto/bls12381/pairing.go

@@ -0,0 +1,282 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+type pair struct {
+	g1 *PointG1
+	g2 *PointG2
+}
+
+func newPair(g1 *PointG1, g2 *PointG2) pair {
+	return pair{g1, g2}
+}
+
+// Engine is BLS12-381 elliptic curve pairing engine
+type Engine struct {
+	G1   *G1
+	G2   *G2
+	fp12 *fp12
+	fp2  *fp2
+	pairingEngineTemp
+	pairs []pair
+}
+
+// NewPairingEngine creates new pairing engine instance.
+func NewPairingEngine() *Engine {
+	fp2 := newFp2()
+	fp6 := newFp6(fp2)
+	fp12 := newFp12(fp6)
+	g1 := NewG1()
+	g2 := newG2(fp2)
+	return &Engine{
+		fp2:               fp2,
+		fp12:              fp12,
+		G1:                g1,
+		G2:                g2,
+		pairingEngineTemp: newEngineTemp(),
+	}
+}
+
+type pairingEngineTemp struct {
+	t2  [10]*fe2
+	t12 [9]fe12
+}
+
+func newEngineTemp() pairingEngineTemp {
+	t2 := [10]*fe2{}
+	for i := 0; i < 10; i++ {
+		t2[i] = &fe2{}
+	}
+	t12 := [9]fe12{}
+	return pairingEngineTemp{t2, t12}
+}
+
+// AddPair adds a g1, g2 point pair to pairing engine
+func (e *Engine) AddPair(g1 *PointG1, g2 *PointG2) *Engine {
+	p := newPair(g1, g2)
+	if !e.isZero(p) {
+		e.affine(p)
+		e.pairs = append(e.pairs, p)
+	}
+	return e
+}
+
+// AddPairInv adds a G1, G2 point pair to pairing engine. G1 point is negated.
+func (e *Engine) AddPairInv(g1 *PointG1, g2 *PointG2) *Engine {
+	e.G1.Neg(g1, g1)
+	e.AddPair(g1, g2)
+	return e
+}
+
+// Reset deletes added pairs.
+func (e *Engine) Reset() *Engine {
+	e.pairs = []pair{}
+	return e
+}
+
+func (e *Engine) isZero(p pair) bool {
+	return e.G1.IsZero(p.g1) || e.G2.IsZero(p.g2)
+}
+
+func (e *Engine) affine(p pair) {
+	e.G1.Affine(p.g1)
+	e.G2.Affine(p.g2)
+}
+
+func (e *Engine) doublingStep(coeff *[3]fe2, r *PointG2) {
+	// Adaptation of Formula 3 in https://eprint.iacr.org/2010/526.pdf
+	fp2 := e.fp2
+	t := e.t2
+	fp2.mul(t[0], &r[0], &r[1])
+	fp2.mulByFq(t[0], t[0], twoInv)
+	fp2.square(t[1], &r[1])
+	fp2.square(t[2], &r[2])
+	fp2.double(t[7], t[2])
+	fp2.add(t[7], t[7], t[2])
+	fp2.mulByB(t[3], t[7])
+	fp2.double(t[4], t[3])
+	fp2.add(t[4], t[4], t[3])
+	fp2.add(t[5], t[1], t[4])
+	fp2.mulByFq(t[5], t[5], twoInv)
+	fp2.add(t[6], &r[1], &r[2])
+	fp2.square(t[6], t[6])
+	fp2.add(t[7], t[2], t[1])
+	fp2.sub(t[6], t[6], t[7])
+	fp2.sub(&coeff[0], t[3], t[1])
+	fp2.square(t[7], &r[0])
+	fp2.sub(t[4], t[1], t[4])
+	fp2.mul(&r[0], t[4], t[0])
+	fp2.square(t[2], t[3])
+	fp2.double(t[3], t[2])
+	fp2.add(t[3], t[3], t[2])
+	fp2.square(t[5], t[5])
+	fp2.sub(&r[1], t[5], t[3])
+	fp2.mul(&r[2], t[1], t[6])
+	fp2.double(t[0], t[7])
+	fp2.add(&coeff[1], t[0], t[7])
+	fp2.neg(&coeff[2], t[6])
+}
+
+func (e *Engine) additionStep(coeff *[3]fe2, r, q *PointG2) {
+	// Algorithm 12 in https://eprint.iacr.org/2010/526.pdf
+	fp2 := e.fp2
+	t := e.t2
+	fp2.mul(t[0], &q[1], &r[2])
+	fp2.neg(t[0], t[0])
+	fp2.add(t[0], t[0], &r[1])
+	fp2.mul(t[1], &q[0], &r[2])
+	fp2.neg(t[1], t[1])
+	fp2.add(t[1], t[1], &r[0])
+	fp2.square(t[2], t[0])
+	fp2.square(t[3], t[1])
+	fp2.mul(t[4], t[1], t[3])
+	fp2.mul(t[2], &r[2], t[2])
+	fp2.mul(t[3], &r[0], t[3])
+	fp2.double(t[5], t[3])
+	fp2.sub(t[5], t[4], t[5])
+	fp2.add(t[5], t[5], t[2])
+	fp2.mul(&r[0], t[1], t[5])
+	fp2.sub(t[2], t[3], t[5])
+	fp2.mul(t[2], t[2], t[0])
+	fp2.mul(t[3], &r[1], t[4])
+	fp2.sub(&r[1], t[2], t[3])
+	fp2.mul(&r[2], &r[2], t[4])
+	fp2.mul(t[2], t[1], &q[1])
+	fp2.mul(t[3], t[0], &q[0])
+	fp2.sub(&coeff[0], t[3], t[2])
+	fp2.neg(&coeff[1], t[0])
+	coeff[2].set(t[1])
+}
+
+func (e *Engine) preCompute(ellCoeffs *[68][3]fe2, twistPoint *PointG2) {
+	// Algorithm 5 in  https://eprint.iacr.org/2019/077.pdf
+	if e.G2.IsZero(twistPoint) {
+		return
+	}
+	r := new(PointG2).Set(twistPoint)
+	j := 0
+	for i := x.BitLen() - 2; i >= 0; i-- {
+		e.doublingStep(&ellCoeffs[j], r)
+		if x.Bit(i) != 0 {
+			j++
+			ellCoeffs[j] = fe6{}
+			e.additionStep(&ellCoeffs[j], r, twistPoint)
+		}
+		j++
+	}
+}
+
+func (e *Engine) millerLoop(f *fe12) {
+	pairs := e.pairs
+	ellCoeffs := make([][68][3]fe2, len(pairs))
+	for i := 0; i < len(pairs); i++ {
+		e.preCompute(&ellCoeffs[i], pairs[i].g2)
+	}
+	fp12, fp2 := e.fp12, e.fp2
+	t := e.t2
+	f.one()
+	j := 0
+	for i := 62; /* x.BitLen() - 2 */ i >= 0; i-- {
+		if i != 62 {
+			fp12.square(f, f)
+		}
+		for i := 0; i <= len(pairs)-1; i++ {
+			fp2.mulByFq(t[0], &ellCoeffs[i][j][2], &pairs[i].g1[1])
+			fp2.mulByFq(t[1], &ellCoeffs[i][j][1], &pairs[i].g1[0])
+			fp12.mulBy014Assign(f, &ellCoeffs[i][j][0], t[1], t[0])
+		}
+		if x.Bit(i) != 0 {
+			j++
+			for i := 0; i <= len(pairs)-1; i++ {
+				fp2.mulByFq(t[0], &ellCoeffs[i][j][2], &pairs[i].g1[1])
+				fp2.mulByFq(t[1], &ellCoeffs[i][j][1], &pairs[i].g1[0])
+				fp12.mulBy014Assign(f, &ellCoeffs[i][j][0], t[1], t[0])
+			}
+		}
+		j++
+	}
+	fp12.conjugate(f, f)
+}
+
+func (e *Engine) exp(c, a *fe12) {
+	fp12 := e.fp12
+	fp12.cyclotomicExp(c, a, x)
+	fp12.conjugate(c, c)
+}
+
+func (e *Engine) finalExp(f *fe12) {
+	fp12 := e.fp12
+	t := e.t12
+	// easy part
+	fp12.frobeniusMap(&t[0], f, 6)
+	fp12.inverse(&t[1], f)
+	fp12.mul(&t[2], &t[0], &t[1])
+	t[1].set(&t[2])
+	fp12.frobeniusMapAssign(&t[2], 2)
+	fp12.mulAssign(&t[2], &t[1])
+	fp12.cyclotomicSquare(&t[1], &t[2])
+	fp12.conjugate(&t[1], &t[1])
+	// hard part
+	e.exp(&t[3], &t[2])
+	fp12.cyclotomicSquare(&t[4], &t[3])
+	fp12.mul(&t[5], &t[1], &t[3])
+	e.exp(&t[1], &t[5])
+	e.exp(&t[0], &t[1])
+	e.exp(&t[6], &t[0])
+	fp12.mulAssign(&t[6], &t[4])
+	e.exp(&t[4], &t[6])
+	fp12.conjugate(&t[5], &t[5])
+	fp12.mulAssign(&t[4], &t[5])
+	fp12.mulAssign(&t[4], &t[2])
+	fp12.conjugate(&t[5], &t[2])
+	fp12.mulAssign(&t[1], &t[2])
+	fp12.frobeniusMapAssign(&t[1], 3)
+	fp12.mulAssign(&t[6], &t[5])
+	fp12.frobeniusMapAssign(&t[6], 1)
+	fp12.mulAssign(&t[3], &t[0])
+	fp12.frobeniusMapAssign(&t[3], 2)
+	fp12.mulAssign(&t[3], &t[1])
+	fp12.mulAssign(&t[3], &t[6])
+	fp12.mul(f, &t[3], &t[4])
+}
+
+func (e *Engine) calculate() *fe12 {
+	f := e.fp12.one()
+	if len(e.pairs) == 0 {
+		return f
+	}
+	e.millerLoop(f)
+	e.finalExp(f)
+	return f
+}
+
+// Check computes pairing and checks if result is equal to one
+func (e *Engine) Check() bool {
+	return e.calculate().isOne()
+}
+
+// Result computes pairing and returns target group element as result.
+func (e *Engine) Result() *E {
+	r := e.calculate()
+	e.Reset()
+	return r
+}
+
+// GT returns target group instance.
+func (e *Engine) GT() *GT {
+	return NewGT()
+}

crypto/bls12381/pairing_test.go

@@ -0,0 +1,230 @@
+package bls12381
+
+import (
+	"math/big"
+	"testing"
+
+	"github.com/ethereum/go-ethereum/common"
+)
+
+func TestPairingExpected(t *testing.T) {
+	bls := NewPairingEngine()
+	G1, G2 := bls.G1, bls.G2
+	GT := bls.GT()
+	expected, err := GT.FromBytes(
+		common.FromHex("" +
+			"0f41e58663bf08cf068672cbd01a7ec73baca4d72ca93544deff686bfd6df543d48eaa24afe47e1efde449383b676631" +
+			"04c581234d086a9902249b64728ffd21a189e87935a954051c7cdba7b3872629a4fafc05066245cb9108f0242d0fe3ef" +
+			"03350f55a7aefcd3c31b4fcb6ce5771cc6a0e9786ab5973320c806ad360829107ba810c5a09ffdd9be2291a0c25a99a2" +
+			"11b8b424cd48bf38fcef68083b0b0ec5c81a93b330ee1a677d0d15ff7b984e8978ef48881e32fac91b93b47333e2ba57" +
+			"06fba23eb7c5af0d9f80940ca771b6ffd5857baaf222eb95a7d2809d61bfe02e1bfd1b68ff02f0b8102ae1c2d5d5ab1a" +
+			"19f26337d205fb469cd6bd15c3d5a04dc88784fbb3d0b2dbdea54d43b2b73f2cbb12d58386a8703e0f948226e47ee89d" +
+			"018107154f25a764bd3c79937a45b84546da634b8f6be14a8061e55cceba478b23f7dacaa35c8ca78beae9624045b4b6" +
+			"01b2f522473d171391125ba84dc4007cfbf2f8da752f7c74185203fcca589ac719c34dffbbaad8431dad1c1fb597aaa5" +
+			"193502b86edb8857c273fa075a50512937e0794e1e65a7617c90d8bd66065b1fffe51d7a579973b1315021ec3c19934f" +
+			"1368bb445c7c2d209703f239689ce34c0378a68e72a6b3b216da0e22a5031b54ddff57309396b38c881c4c849ec23e87" +
+			"089a1c5b46e5110b86750ec6a532348868a84045483c92b7af5af689452eafabf1a8943e50439f1d59882a98eaa0170f" +
+			"1250ebd871fc0a92a7b2d83168d0d727272d441befa15c503dd8e90ce98db3e7b6d194f60839c508a84305aaca1789b6",
+		),
+	)
+	if err != nil {
+		t.Fatal(err)
+	}
+	r := bls.AddPair(G1.One(), G2.One()).Result()
+	if !r.Equal(expected) {
+		t.Fatal("bad pairing")
+	}
+	if !GT.IsValid(r) {
+		t.Fatal("element is not in correct subgroup")
+	}
+}
+
+func TestPairingNonDegeneracy(t *testing.T) {
+	bls := NewPairingEngine()
+	G1, G2 := bls.G1, bls.G2
+	g1Zero, g2Zero, g1One, g2One := G1.Zero(), G2.Zero(), G1.One(), G2.One()
+	GT := bls.GT()
+	// e(g1^a, g2^b) != 1
+	bls.Reset()
+	{
+		bls.AddPair(g1One, g2One)
+		e := bls.Result()
+		if e.IsOne() {
+			t.Fatal("pairing result is not expected to be one")
+		}
+		if !GT.IsValid(e) {
+			t.Fatal("pairing result is not valid")
+		}
+	}
+	// e(g1^a, 0) == 1
+	bls.Reset()
+	{
+		bls.AddPair(g1One, g2Zero)
+		e := bls.Result()
+		if !e.IsOne() {
+			t.Fatal("pairing result is expected to be one")
+		}
+	}
+	// e(0, g2^b) == 1
+	bls.Reset()
+	{
+		bls.AddPair(g1Zero, g2One)
+		e := bls.Result()
+		if !e.IsOne() {
+			t.Fatal("pairing result is expected to be one")
+		}
+	}
+	//
+	bls.Reset()
+	{
+		bls.AddPair(g1Zero, g2One)
+		bls.AddPair(g1One, g2Zero)
+		bls.AddPair(g1Zero, g2Zero)
+		e := bls.Result()
+		if !e.IsOne() {
+			t.Fatal("pairing result is expected to be one")
+		}
+	}
+	//
+	bls.Reset()
+	{
+		expected, err := GT.FromBytes(
+			common.FromHex("" +
+				"0f41e58663bf08cf068672cbd01a7ec73baca4d72ca93544deff686bfd6df543d48eaa24afe47e1efde449383b676631" +
+				"04c581234d086a9902249b64728ffd21a189e87935a954051c7cdba7b3872629a4fafc05066245cb9108f0242d0fe3ef" +
+				"03350f55a7aefcd3c31b4fcb6ce5771cc6a0e9786ab5973320c806ad360829107ba810c5a09ffdd9be2291a0c25a99a2" +
+				"11b8b424cd48bf38fcef68083b0b0ec5c81a93b330ee1a677d0d15ff7b984e8978ef48881e32fac91b93b47333e2ba57" +
+				"06fba23eb7c5af0d9f80940ca771b6ffd5857baaf222eb95a7d2809d61bfe02e1bfd1b68ff02f0b8102ae1c2d5d5ab1a" +
+				"19f26337d205fb469cd6bd15c3d5a04dc88784fbb3d0b2dbdea54d43b2b73f2cbb12d58386a8703e0f948226e47ee89d" +
+				"018107154f25a764bd3c79937a45b84546da634b8f6be14a8061e55cceba478b23f7dacaa35c8ca78beae9624045b4b6" +
+				"01b2f522473d171391125ba84dc4007cfbf2f8da752f7c74185203fcca589ac719c34dffbbaad8431dad1c1fb597aaa5" +
+				"193502b86edb8857c273fa075a50512937e0794e1e65a7617c90d8bd66065b1fffe51d7a579973b1315021ec3c19934f" +
+				"1368bb445c7c2d209703f239689ce34c0378a68e72a6b3b216da0e22a5031b54ddff57309396b38c881c4c849ec23e87" +
+				"089a1c5b46e5110b86750ec6a532348868a84045483c92b7af5af689452eafabf1a8943e50439f1d59882a98eaa0170f" +
+				"1250ebd871fc0a92a7b2d83168d0d727272d441befa15c503dd8e90ce98db3e7b6d194f60839c508a84305aaca1789b6",
+			),
+		)
+		if err != nil {
+			t.Fatal(err)
+		}
+		bls.AddPair(g1Zero, g2One)
+		bls.AddPair(g1One, g2Zero)
+		bls.AddPair(g1Zero, g2Zero)
+		bls.AddPair(g1One, g2One)
+		e := bls.Result()
+		if !e.Equal(expected) {
+			t.Fatal("bad pairing")
+		}
+	}
+}
+
+func TestPairingBilinearity(t *testing.T) {
+	bls := NewPairingEngine()
+	g1, g2 := bls.G1, bls.G2
+	gt := bls.GT()
+	// e(a*G1, b*G2) = e(G1, G2)^c
+	{
+		a, b := big.NewInt(17), big.NewInt(117)
+		c := new(big.Int).Mul(a, b)
+		G1, G2 := g1.One(), g2.One()
+		e0 := bls.AddPair(G1, G2).Result()
+		P1, P2 := g1.New(), g2.New()
+		g1.MulScalar(P1, G1, a)
+		g2.MulScalar(P2, G2, b)
+		e1 := bls.AddPair(P1, P2).Result()
+		gt.Exp(e0, e0, c)
+		if !e0.Equal(e1) {
+			t.Fatal("bad pairing, 1")
+		}
+	}
+	// e(a * G1, b * G2) = e((a + b) * G1, G2)
+	{
+		// scalars
+		a, b := big.NewInt(17), big.NewInt(117)
+		c := new(big.Int).Mul(a, b)
+		// LHS
+		G1, G2 := g1.One(), g2.One()
+		g1.MulScalar(G1, G1, c)
+		bls.AddPair(G1, G2)
+		// RHS
+		P1, P2 := g1.One(), g2.One()
+		g1.MulScalar(P1, P1, a)
+		g2.MulScalar(P2, P2, b)
+		bls.AddPairInv(P1, P2)
+		// should be one
+		if !bls.Check() {
+			t.Fatal("bad pairing, 2")
+		}
+	}
+	// e(a * G1, b * G2) = e((a + b) * G1, G2)
+	{
+		// scalars
+		a, b := big.NewInt(17), big.NewInt(117)
+		c := new(big.Int).Mul(a, b)
+		// LHS
+		G1, G2 := g1.One(), g2.One()
+		g2.MulScalar(G2, G2, c)
+		bls.AddPair(G1, G2)
+		// RHS
+		H1, H2 := g1.One(), g2.One()
+		g1.MulScalar(H1, H1, a)
+		g2.MulScalar(H2, H2, b)
+		bls.AddPairInv(H1, H2)
+		// should be one
+		if !bls.Check() {
+			t.Fatal("bad pairing, 3")
+		}
+	}
+}
+
+func TestPairingMulti(t *testing.T) {
+	// e(G1, G2) ^ t == e(a01 * G1, a02 * G2) * e(a11 * G1, a12 * G2) * ... * e(an1 * G1, an2 * G2)
+	// where t = sum(ai1 * ai2)
+	bls := NewPairingEngine()
+	g1, g2 := bls.G1, bls.G2
+	numOfPair := 100
+	targetExp := new(big.Int)
+	// RHS
+	for i := 0; i < numOfPair; i++ {
+		// (ai1 * G1, ai2 * G2)
+		a1, a2 := randScalar(q), randScalar(q)
+		P1, P2 := g1.One(), g2.One()
+		g1.MulScalar(P1, P1, a1)
+		g2.MulScalar(P2, P2, a2)
+		bls.AddPair(P1, P2)
+		// accumulate targetExp
+		// t += (ai1 * ai2)
+		a1.Mul(a1, a2)
+		targetExp.Add(targetExp, a1)
+	}
+	// LHS
+	// e(t * G1, G2)
+	T1, T2 := g1.One(), g2.One()
+	g1.MulScalar(T1, T1, targetExp)
+	bls.AddPairInv(T1, T2)
+	if !bls.Check() {
+		t.Fatal("fail multi pairing")
+	}
+}
+
+func TestPairingEmpty(t *testing.T) {
+	bls := NewPairingEngine()
+	if !bls.Check() {
+		t.Fatal("empty check should be accepted")
+	}
+	if !bls.Result().IsOne() {
+		t.Fatal("empty pairing result should be one")
+	}
+}
+
+func BenchmarkPairing(t *testing.B) {
+	bls := NewPairingEngine()
+	g1, g2, gt := bls.G1, bls.G2, bls.GT()
+	bls.AddPair(g1.One(), g2.One())
+	e := gt.New()
+	t.ResetTimer()
+	for i := 0; i < t.N; i++ {
+		e = bls.calculate()
+	}
+	_ = e
+}

crypto/bls12381/swu.go

@@ -0,0 +1,158 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+// swuMapG1 is implementation of Simplified Shallue-van de Woestijne-Ulas Method
+// follows the implmentation at draft-irtf-cfrg-hash-to-curve-06.
+func swuMapG1(u *fe) (*fe, *fe) {
+	var params = swuParamsForG1
+	var tv [4]*fe
+	for i := 0; i < 4; i++ {
+		tv[i] = new(fe)
+	}
+	square(tv[0], u)
+	mul(tv[0], tv[0], params.z)
+	square(tv[1], tv[0])
+	x1 := new(fe)
+	add(x1, tv[0], tv[1])
+	inverse(x1, x1)
+	e1 := x1.isZero()
+	one := new(fe).one()
+	add(x1, x1, one)
+	if e1 {
+		x1.set(params.zInv)
+	}
+	mul(x1, x1, params.minusBOverA)
+	gx1 := new(fe)
+	square(gx1, x1)
+	add(gx1, gx1, params.a)
+	mul(gx1, gx1, x1)
+	add(gx1, gx1, params.b)
+	x2 := new(fe)
+	mul(x2, tv[0], x1)
+	mul(tv[1], tv[0], tv[1])
+	gx2 := new(fe)
+	mul(gx2, gx1, tv[1])
+	e2 := !isQuadraticNonResidue(gx1)
+	x, y2 := new(fe), new(fe)
+	if e2 {
+		x.set(x1)
+		y2.set(gx1)
+	} else {
+		x.set(x2)
+		y2.set(gx2)
+	}
+	y := new(fe)
+	sqrt(y, y2)
+	if y.sign() != u.sign() {
+		neg(y, y)
+	}
+	return x, y
+}
+
+// swuMapG2 is implementation of Simplified Shallue-van de Woestijne-Ulas Method
+// defined at draft-irtf-cfrg-hash-to-curve-06.
+func swuMapG2(e *fp2, u *fe2) (*fe2, *fe2) {
+	if e == nil {
+		e = newFp2()
+	}
+	params := swuParamsForG2
+	var tv [4]*fe2
+	for i := 0; i < 4; i++ {
+		tv[i] = e.new()
+	}
+	e.square(tv[0], u)
+	e.mul(tv[0], tv[0], params.z)
+	e.square(tv[1], tv[0])
+	x1 := e.new()
+	e.add(x1, tv[0], tv[1])
+	e.inverse(x1, x1)
+	e1 := x1.isZero()
+	e.add(x1, x1, e.one())
+	if e1 {
+		x1.set(params.zInv)
+	}
+	e.mul(x1, x1, params.minusBOverA)
+	gx1 := e.new()
+	e.square(gx1, x1)
+	e.add(gx1, gx1, params.a)
+	e.mul(gx1, gx1, x1)
+	e.add(gx1, gx1, params.b)
+	x2 := e.new()
+	e.mul(x2, tv[0], x1)
+	e.mul(tv[1], tv[0], tv[1])
+	gx2 := e.new()
+	e.mul(gx2, gx1, tv[1])
+	e2 := !e.isQuadraticNonResidue(gx1)
+	x, y2 := e.new(), e.new()
+	if e2 {
+		x.set(x1)
+		y2.set(gx1)
+	} else {
+		x.set(x2)
+		y2.set(gx2)
+	}
+	y := e.new()
+	e.sqrt(y, y2)
+	if y.sign() != u.sign() {
+		e.neg(y, y)
+	}
+	return x, y
+}
+
+var swuParamsForG1 = struct {
+	z           *fe
+	zInv        *fe
+	a           *fe
+	b           *fe
+	minusBOverA *fe
+}{
+	a:           &fe{0x2f65aa0e9af5aa51, 0x86464c2d1e8416c3, 0xb85ce591b7bd31e2, 0x27e11c91b5f24e7c, 0x28376eda6bfc1835, 0x155455c3e5071d85},
+	b:           &fe{0xfb996971fe22a1e0, 0x9aa93eb35b742d6f, 0x8c476013de99c5c4, 0x873e27c3a221e571, 0xca72b5e45a52d888, 0x06824061418a386b},
+	z:           &fe{0x886c00000023ffdc, 0x0f70008d3090001d, 0x77672417ed5828c3, 0x9dac23e943dc1740, 0x50553f1b9c131521, 0x078c712fbe0ab6e8},
+	zInv:        &fe{0x0e8a2e8ba2e83e10, 0x5b28ba2ca4d745d1, 0x678cd5473847377a, 0x4c506dd8a8076116, 0x9bcb227d79284139, 0x0e8d3154b0ba099a},
+	minusBOverA: &fe{0x052583c93555a7fe, 0x3b40d72430f93c82, 0x1b75faa0105ec983, 0x2527e7dc63851767, 0x99fffd1f34fc181d, 0x097cab54770ca0d3},
+}
+
+var swuParamsForG2 = struct {
+	z           *fe2
+	zInv        *fe2
+	a           *fe2
+	b           *fe2
+	minusBOverA *fe2
+}{
+	a: &fe2{
+		fe{0, 0, 0, 0, 0, 0},
+		fe{0xe53a000003135242, 0x01080c0fdef80285, 0xe7889edbe340f6bd, 0x0b51375126310601, 0x02d6985717c744ab, 0x1220b4e979ea5467},
+	},
+	b: &fe2{
+		fe{0x22ea00000cf89db2, 0x6ec832df71380aa4, 0x6e1b94403db5a66e, 0x75bf3c53a79473ba, 0x3dd3a569412c0a34, 0x125cdb5e74dc4fd1},
+		fe{0x22ea00000cf89db2, 0x6ec832df71380aa4, 0x6e1b94403db5a66e, 0x75bf3c53a79473ba, 0x3dd3a569412c0a34, 0x125cdb5e74dc4fd1},
+	},
+	z: &fe2{
+		fe{0x87ebfffffff9555c, 0x656fffe5da8ffffa, 0x0fd0749345d33ad2, 0xd951e663066576f4, 0xde291a3d41e980d3, 0x0815664c7dfe040d},
+		fe{0x43f5fffffffcaaae, 0x32b7fff2ed47fffd, 0x07e83a49a2e99d69, 0xeca8f3318332bb7a, 0xef148d1ea0f4c069, 0x040ab3263eff0206},
+	},
+	zInv: &fe2{
+		fe{0xacd0000000011110, 0x9dd9999dc88ccccd, 0xb5ca2ac9b76352bf, 0xf1b574bcf4bc90ce, 0x42dab41f28a77081, 0x132fc6ac14cd1e12},
+		fe{0xe396ffffffff2223, 0x4fbf332fcd0d9998, 0x0c4bbd3c1aff4cc4, 0x6b9c91267926ca58, 0x29ae4da6aef7f496, 0x10692e942f195791},
+	},
+	minusBOverA: &fe2{
+		fe{0x903c555555474fb3, 0x5f98cc95ce451105, 0x9f8e582eefe0fade, 0xc68946b6aebbd062, 0x467a4ad10ee6de53, 0x0e7146f483e23a05},
+		fe{0x29c2aaaaaab85af8, 0xbf133368e30eeefa, 0xc7a27a7206cffb45, 0x9dee04ce44c9425c, 0x04a15ce53464ce83, 0x0b8fcaf5b59dac95},
+	},
+}

crypto/bls12381/utils.go

@@ -0,0 +1,45 @@
+// Copyright 2020 The go-ethereum Authors
+// This file is part of the go-ethereum library.
+//
+// The go-ethereum library is free software: you can redistribute it and/or modify
+// it under the terms of the GNU Lesser General Public License as published by
+// the Free Software Foundation, either version 3 of the License, or
+// (at your option) any later version.
+//
+// The go-ethereum library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU Lesser General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public License
+// along with the go-ethereum library. If not, see <http://www.gnu.org/licenses/>.
+
+package bls12381
+
+import (
+	"errors"
+	"math/big"
+
+	"github.com/ethereum/go-ethereum/common"
+)
+
+func bigFromHex(hex string) *big.Int {
+	return new(big.Int).SetBytes(common.FromHex(hex))
+}
+
+// decodeFieldElement expects 64 byte input with zero top 16 bytes,
+// returns lower 48 bytes.
+func decodeFieldElement(in []byte) ([]byte, error) {
+	if len(in) != 64 {
+		return nil, errors.New("invalid field element length")
+	}
+	// check top bytes
+	for i := 0; i < 16; i++ {
+		if in[i] != byte(0x00) {
+			return nil, errors.New("invalid field element top bytes")
+		}
+	}
+	out := make([]byte, 48)
+	copy(out[:], in[16:])
+	return out, nil
+}

go.sum

@@ -202,8 +202,6 @@ golang.org/x/sys v0.0.0-20180909124046-d0be0721c37e/go.mod h1:STP8DvDyc/dI5b8T5h
 golang.org/x/sys v0.0.0-20181107165924-66b7b1311ac8/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
 golang.org/x/sys v0.0.0-20190215142949-d0b11bdaac8a/go.mod h1:STP8DvDyc/dI5b8T5hshtkjS+E42TnysNCUPdjciGhY=
 golang.org/x/sys v0.0.0-20190412213103-97732733099d/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
-golang.org/x/sys v0.0.0-20200302150141-5c8b2ff67527 h1:uYVVQ9WP/Ds2ROhcaGPeIdVq0RIXVLwsHlnvJ+cT1So=
-golang.org/x/sys v0.0.0-20200302150141-5c8b2ff67527/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/sys v0.0.0-20200323222414-85ca7c5b95cd h1:xhmwyvizuTgC2qz7ZlMluP20uW+C3Rm0FD/WLDX8884=
 golang.org/x/sys v0.0.0-20200323222414-85ca7c5b95cd/go.mod h1:h1NjWce9XRLGQEsW7wpKNCjG9DtNlClVuFLEZdDNbEs=
 golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=

params/protocol_params.go

@@ -130,8 +130,20 @@ const (
 	Bn256PairingBaseGasIstanbul      uint64 = 45000  // Base price for an elliptic curve pairing check
 	Bn256PairingPerPointGasByzantium uint64 = 80000  // Byzantium per-point price for an elliptic curve pairing check
 	Bn256PairingPerPointGasIstanbul  uint64 = 34000  // Per-point price for an elliptic curve pairing check
+
+	Bls12381G1AddGas          uint64 = 600    // Price for BLS12-381 elliptic curve G1 point addition
+	Bls12381G1MulGas          uint64 = 12000  // Price for BLS12-381 elliptic curve G1 point scalar multiplication
+	Bls12381G2AddGas          uint64 = 4500   // Price for BLS12-381 elliptic curve G2 point addition
+	Bls12381G2MulGas          uint64 = 55000  // Price for BLS12-381 elliptic curve G2 point scalar multiplication
+	Bls12381PairingBaseGas    uint64 = 115000 // Base gas price for BLS12-381 elliptic curve pairing check
+	Bls12381PairingPerPairGas uint64 = 23000  // Per-point pair gas price for BLS12-381 elliptic curve pairing check
+	Bls12381MapG1Gas          uint64 = 5500   // Gas price for BLS12-381 mapping field element to G1 operation
+	Bls12381MapG2Gas          uint64 = 110000 // Gas price for BLS12-381 mapping field element to G2 operation
 )
 
+// Gas discount table for BLS12-381 G1 and G2 multi exponentiation operations
+var Bls12381MultiExpDiscountTable = [128]uint64{1200, 888, 764, 641, 594, 547, 500, 453, 438, 423, 408, 394, 379, 364, 349, 334, 330, 326, 322, 318, 314, 310, 306, 302, 298, 294, 289, 285, 281, 277, 273, 269, 268, 266, 265, 263, 262, 260, 259, 257, 256, 254, 253, 251, 250, 248, 247, 245, 244, 242, 241, 239, 238, 236, 235, 233, 232, 231, 229, 228, 226, 225, 223, 222, 221, 220, 219, 219, 218, 217, 216, 216, 215, 214, 213, 213, 212, 211, 211, 210, 209, 208, 208, 207, 206, 205, 205, 204, 203, 202, 202, 201, 200, 199, 199, 198, 197, 196, 196, 195, 194, 193, 193, 192, 191, 191, 190, 189, 188, 188, 187, 186, 185, 185, 184, 183, 182, 182, 181, 180, 179, 179, 178, 177, 176, 176, 175, 174}
+
 var (
 	DifficultyBoundDivisor = big.NewInt(2048)   // The bound divisor of the difficulty, used in the update calculations.
 	GenesisDifficulty      = big.NewInt(131072) // Difficulty of the Genesis block.