add signtype ed25519

account.go

@@ -3,6 +3,7 @@ package sdk
 import (
 	"errors"
 	"github.com/33cn/chain33-sdk-go/crypto"
+	"github.com/33cn/chain33-sdk-go/crypto/ed25519"
 	"github.com/33cn/chain33-sdk-go/crypto/gm"
 )
 
@@ -37,7 +38,18 @@ func NewAccount(signType string) (*Account, error) {
 		}
 		account.Address = addr
 	} else if signType == crypto.ED25519 {
-		// TODO
+		priv, pub, err := ed25519.GenerateKey()
+		if err != nil {
+			return nil, err
+		}
+		copy(account.PrivateKey, priv)
+		copy(account.PublicKey, pub)
+
+		addr, err := crypto.PubKeyToAddress(account.PublicKey)
+		if err != nil {
+			return nil, err
+		}
+		account.Address = addr
 	} else {
 		return nil, errors.New("sign type not support")
 	}

crypto/crypto_test.go

@@ -2,6 +2,7 @@ package  crypto
 
 import (
 	"fmt"
+	"github.com/33cn/chain33-sdk-go/crypto/ed25519"
 	"github.com/33cn/chain33-sdk-go/crypto/gm"
 	"github.com/33cn/chain33-sdk-go/types"
 	"github.com/stretchr/testify/assert"
@@ -47,7 +48,7 @@ func TestSM2(t *testing.T) {
 	fmt.Printf("sig = %x\n", sig)
 
 	result := gm.SM2Verify(msg, pub, sig, nil)
-	fmt.Println(result)
+	assert.Equal(t, true, result)
 }
 
 func TestSM4(t *testing.T) {
@@ -84,3 +85,19 @@ func TestKDF(t *testing.T) {
 	fmt.Println(keyf)
 	fmt.Println(len(keyf))
 }
+
+func TestED25519(t *testing.T) {
+	priv, pub, err := ed25519.GenerateKey()
+	if err != nil {
+		assert.Fail(t, err.Error())
+	}
+	fmt.Println(types.ToHex(pub))
+
+	msg := []byte("sign test")
+
+	sig := ed25519.Sign(priv, msg)
+	fmt.Printf("sig = %x\n", sig)
+
+	result := ed25519.Verify(pub, msg, sig)
+	assert.Equal(t, true, result)
+}

crypto/ed25519/ed25519.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2013 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package ed25519 implements the Ed25519 signature algorithm. See
+// http://ed25519.cr.yp.to/.
+package ed25519
+
+// This code is a port of the public domain, "ref10" implementation of ed25519
+// from SUPERCOP.
+
+import (
+	"crypto/rand"
+	"crypto/sha512"
+	"crypto/subtle"
+	"github.com/33cn/chain33-sdk-go/crypto/ed25519/edwards25519"
+)
+
+//const
+const (
+	PublicKeySize  = 32
+	PrivateKeySize = 64
+	SignatureSize  = 64
+)
+
+// GenerateKey generates a public/private key pair using randomness from rand.
+func GenerateKey() ([]byte, []byte, error) {
+	privateKey := make([]byte, PrivateKeySize)
+	_, err := rand.Read(privateKey[:32])
+	if err != nil {
+		return nil, nil, err
+	}
+
+	publicKey := MakePublicKey(privateKey)
+	return privateKey, publicKey, nil
+}
+
+// MakePublicKey makes a publicKey from the first half of privateKey.
+func MakePublicKey(privateKey []byte) []byte {
+	publicKey := new([PublicKeySize]byte)
+
+	h := sha512.New()
+	h.Write(privateKey[:32])
+	digest := h.Sum(nil)
+
+	digest[0] &= 248
+	digest[31] &= 127
+	digest[31] |= 64
+
+	var A edwards25519.ExtendedGroupElement
+	var hBytes [32]byte
+	copy(hBytes[:], digest)
+	edwards25519.GeScalarMultBase(&A, &hBytes)
+	A.ToBytes(publicKey)
+
+	pub := make([]byte, PublicKeySize)
+	copy(privateKey[32:], publicKey[:])
+	copy(pub[:], publicKey[:])
+
+	return pub
+}
+
+// Sign signs the message with privateKey and returns a signature.
+func Sign(privateKey []byte, message []byte) []byte {
+	h := sha512.New()
+	h.Write(privateKey[:32])
+
+	var digest1, messageDigest, hramDigest [64]byte
+	var expandedSecretKey [32]byte
+	h.Sum(digest1[:0])
+	copy(expandedSecretKey[:], digest1[:])
+	expandedSecretKey[0] &= 248
+	expandedSecretKey[31] &= 63
+	expandedSecretKey[31] |= 64
+
+	h.Reset()
+	h.Write(digest1[32:])
+	h.Write(message)
+	h.Sum(messageDigest[:0])
+
+	var messageDigestReduced [32]byte
+	edwards25519.ScReduce(&messageDigestReduced, &messageDigest)
+	var R edwards25519.ExtendedGroupElement
+	edwards25519.GeScalarMultBase(&R, &messageDigestReduced)
+
+	var encodedR [32]byte
+	R.ToBytes(&encodedR)
+
+	h.Reset()
+	h.Write(encodedR[:])
+	h.Write(privateKey[32:])
+	h.Write(message)
+	h.Sum(hramDigest[:0])
+	var hramDigestReduced [32]byte
+	edwards25519.ScReduce(&hramDigestReduced, &hramDigest)
+
+	var s [32]byte
+	edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced)
+
+	signature := make([]byte, SignatureSize)
+	copy(signature[:], encodedR[:])
+	copy(signature[32:], s[:])
+	return signature
+}
+
+// Verify returns true iff sig is a valid signature of message by publicKey.
+func Verify(publicKey []byte, message []byte, sig []byte) bool {
+	if sig[63]&224 != 0 {
+		return false
+	}
+
+	pub := new([PublicKeySize]byte)
+	copy(pub[:], publicKey[:])
+
+	var A edwards25519.ExtendedGroupElement
+	if !A.FromBytes(pub) {
+		return false
+	}
+	edwards25519.FeNeg(&A.X, &A.X)
+	edwards25519.FeNeg(&A.T, &A.T)
+
+	h := sha512.New()
+	h.Write(sig[:32])
+	h.Write(publicKey[:])
+	h.Write(message)
+	var digest [64]byte
+	h.Sum(digest[:0])
+
+	var hReduced [32]byte
+	edwards25519.ScReduce(&hReduced, &digest)
+
+	var R edwards25519.ProjectiveGroupElement
+	var b [32]byte
+	copy(b[:], sig[32:])
+	edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &b)
+
+	var checkR [32]byte
+	R.ToBytes(&checkR)
+	return subtle.ConstantTimeCompare(sig[:32], checkR[:]) == 1
+}

crypto/ed25519/edwards25519/const.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2013 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package edwards25519
+
+var d = FieldElement{
+	-10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116,
+}
+
+var d2 = FieldElement{
+	-21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199,
+}
+
+//SqrtM1 ...
+var SqrtM1 = FieldElement{
+	-32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482,
+}
+
+//A ...
+var A = FieldElement{
+	486662, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+}
+
+var bi = [8]PreComputedGroupElement{
+	{
+		FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
+		FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
+		FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546},
+	},
+	{
+		FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
+		FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
+		FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357},
+	},
+	{
+		FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380},
+		FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306},
+		FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942},
+	},
+	{
+		FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766},
+		FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701},
+		FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300},
+	},
+	{
+		FieldElement{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877},
+		FieldElement{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951},
+		FieldElement{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784},
+	},
+	{
+		FieldElement{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436},
+		FieldElement{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918},
+		FieldElement{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877},
+	},
+	{
+		FieldElement{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800},
+		FieldElement{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305},
+		FieldElement{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300},
+	},
+	{
+		FieldElement{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876},
+		FieldElement{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619},
+		FieldElement{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683},
+	},
+}
+
+var base = [32][8]PreComputedGroupElement{
+	{
+		{
+			FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
+			FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
+			FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546},
+		},
+		{
+			FieldElement{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303},
+			FieldElement{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081},
+			FieldElement{26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697},
+		},
+		{
+			FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
+			FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
+			FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357},
+		},
+		{
+			FieldElement{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540},
+			FieldElement{23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397},
+			FieldElement{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325},
+		},
+		{
+			FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380},
+			FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306},
+			FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942},
+		},
+		{
+			FieldElement{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777},
+			FieldElement{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737},
+			FieldElement{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652},
+		},
+		{
+			FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766},
+			FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701},
+			FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300},
+		},
+		{
+			FieldElement{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726},
+			FieldElement{-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955},
+			FieldElement{27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425},
+		},
+	},
+	{
+		{
+			FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171},
+			FieldElement{27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510},
+			FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660},
+		},
+		{
+			FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639},
+			FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963},
+			FieldElement{5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950},
+		},
+		{
+			FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568},
+			FieldElement{12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335},
+			FieldElement{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628},
+		},
+		{
+			FieldElement{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007},
+			FieldElement{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772},
+			FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653},
+		},
+		{
+			FieldElement{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567},
+			FieldElement{13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686},
+			FieldElement{21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372},
+		},
+		{
+			FieldElement{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887},
+			FieldElement{-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954},
+			FieldElement{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953},
+		},
+		{
+			FieldElement{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833},
+			FieldElement{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532},
+			FieldElement{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876},
+		},
+		{
+			FieldElement{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268},
+			FieldElement{33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214},
+			FieldElement{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038},
+		},
+	},
+	{
+		{
+			FieldElement{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800},
+			FieldElement{4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645},
+			FieldElement{-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664},
+		},
+		{
+			FieldElement{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933},
+			FieldElement{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182},
+			FieldElement{-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222},
+		},
+		{
+			FieldElement{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991},
+			FieldElement{20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880},
+			FieldElement{9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092},
+		},
+		{
+			FieldElement{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295},
+			FieldElement{19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788},
+			FieldElement{8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553},
+		},
+		{
+			FieldElement{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026},
+			FieldElement{11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347},
+			FieldElement{-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033},
+		},
+		{
+			FieldElement{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395},
+			FieldElement{-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278},
+			FieldElement{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890},
+		},
+		{
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+		},
+		{
+			FieldElement{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373},
+			FieldElement{15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228},
+			FieldElement{-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141},
+		},
+		{
+			FieldElement{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399},
+			FieldElement{11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831},
+			FieldElement{-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376},
+		},
+		{
+			FieldElement{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313},
+			FieldElement{-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958},
+			FieldElement{-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577},
+		},
+		{
+			FieldElement{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743},
+			FieldElement{29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684},
+			FieldElement{-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476},
+		},
+	},
+}

crypto/ed25519/edwards25519/edwards25519.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2013 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package edwards25519 implements operations in GF(2**255-19) and on an
+// Edwards curve that is isomorphic to curve25519. See
+// http://ed25519.cr.yp.to/.
+package edwards25519
+
+// This code is a port of the public domain, "ref10" implementation of ed25519
+// from SUPERCOP.
+
+// FieldElement represents an element of the field GF(2^255 - 19).  An element
+// t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77
+// t[3]+2^102 t[4]+...+2^230 t[9].  Bounds on each t[i] vary depending on
+// context.
+type FieldElement [10]int32
+
+var zero FieldElement
+
+//FeZero 0
+func FeZero(fe *FieldElement) {
+	copy(fe[:], zero[:])
+}
+
+//FeOne 1
+func FeOne(fe *FieldElement) {
+	FeZero(fe)
+	fe[0] = 1
+}
+
+//FeAdd +
+func FeAdd(dst, a, b *FieldElement) {
+	dst[0] = a[0] + b[0]
+	dst[1] = a[1] + b[1]
+	dst[2] = a[2] + b[2]
+	dst[3] = a[3] + b[3]
+	dst[4] = a[4] + b[4]
+	dst[5] = a[5] + b[5]
+	dst[6] = a[6] + b[6]
+	dst[7] = a[7] + b[7]
+	dst[8] = a[8] + b[8]
+	dst[9] = a[9] + b[9]
+}
+
+//FeSub -
+func FeSub(dst, a, b *FieldElement) {
+	dst[0] = a[0] - b[0]
+	dst[1] = a[1] - b[1]
+	dst[2] = a[2] - b[2]
+	dst[3] = a[3] - b[3]
+	dst[4] = a[4] - b[4]
+	dst[5] = a[5] - b[5]
+	dst[6] = a[6] - b[6]
+	dst[7] = a[7] - b[7]
+	dst[8] = a[8] - b[8]
+	dst[9] = a[9] - b[9]
+}
+
+//FeCopy 复制
+func FeCopy(dst, src *FieldElement) {
+	copy(dst[:], src[:])
+}
+
+// Replace (f,g) with (g,g) if b == 1
+// replace (f,g) with (f,g) if b == 0.
+
+// FeCMove Preconditions: b in {0,1}.
+func FeCMove(f, g *FieldElement, b int32) {
+	b = -b
+	f[0] ^= b & (f[0] ^ g[0])
+	f[1] ^= b & (f[1] ^ g[1])
+	f[2] ^= b & (f[2] ^ g[2])
+	f[3] ^= b & (f[3] ^ g[3])
+	f[4] ^= b & (f[4] ^ g[4])
+	f[5] ^= b & (f[5] ^ g[5])
+	f[6] ^= b & (f[6] ^ g[6])
+	f[7] ^= b & (f[7] ^ g[7])
+	f[8] ^= b & (f[8] ^ g[8])
+	f[9] ^= b & (f[9] ^ g[9])
+}
+
+func load3(in []byte) int64 {
+	r := int64(in[0])
+	r |= int64(in[1]) << 8
+	r |= int64(in[2]) << 16
+	return r
+}
+
+func load4(in []byte) int64 {
+	r := int64(in[0])
+	r |= int64(in[1]) << 8
+	r |= int64(in[2]) << 16
+	r |= int64(in[3]) << 24
+	return r
+}
+
+//FeFromBytes ...
+func FeFromBytes(dst *FieldElement, src *[32]byte) {
+	h0 := load4(src[:])
+	h1 := load3(src[4:]) << 6
+	h2 := load3(src[7:]) << 5
+	h3 := load3(src[10:]) << 3
+	h4 := load3(src[13:]) << 2
+	h5 := load4(src[16:])
+	h6 := load3(src[20:]) << 7
+	h7 := load3(src[23:]) << 5
+	h8 := load3(src[26:]) << 4
+	h9 := (load3(src[29:]) & 8388607) << 2
+
+	FeCombine(dst, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
+}
+
+// FeToBytes marshals h to s.
+// Preconditions:
+//   |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+//
+// Write p=2^255-19; q=floor(h/p).
+// Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).
+//
+// Proof:
+//   Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
+//   Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4.
+//
+//   Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
+//   Then 0<y<1.
+//
+//   Write r=h-pq.
+//   Have 0<=r<=p-1=2^255-20.
+//   Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
+//
+//   Write x=r+19(2^-255)r+y.
+//   Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
+//
+//   Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
+//   so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
+func FeToBytes(s *[32]byte, h *FieldElement) {
+	var carry [10]int32
+
+	q := (19*h[9] + (1 << 24)) >> 25
+	q = (h[0] + q) >> 26
+	q = (h[1] + q) >> 25
+	q = (h[2] + q) >> 26
+	q = (h[3] + q) >> 25
+	q = (h[4] + q) >> 26
+	q = (h[5] + q) >> 25
+	q = (h[6] + q) >> 26
+	q = (h[7] + q) >> 25
+	q = (h[8] + q) >> 26
+	q = (h[9] + q) >> 25
+
+	// Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20.
+	h[0] += 19 * q
+	// Goal: Output h-2^255 q, which is between 0 and 2^255-20.
+
+	carry[0] = h[0] >> 26
+	h[1] += carry[0]
+	h[0] -= carry[0] << 26
+	carry[1] = h[1] >> 25
+	h[2] += carry[1]
+	h[1] -= carry[1] << 25
+	carry[2] = h[2] >> 26
+	h[3] += carry[2]
+	h[2] -= carry[2] << 26
+	carry[3] = h[3] >> 25
+	h[4] += carry[3]
+	h[3] -= carry[3] << 25
+	carry[4] = h[4] >> 26
+	h[5] += carry[4]
+	h[4] -= carry[4] << 26
+	carry[5] = h[5] >> 25
+	h[6] += carry[5]
+	h[5] -= carry[5] << 25
+	carry[6] = h[6] >> 26
+	h[7] += carry[6]
+	h[6] -= carry[6] << 26
+	carry[7] = h[7] >> 25
+	h[8] += carry[7]
+	h[7] -= carry[7] << 25
+	carry[8] = h[8] >> 26
+	h[9] += carry[8]
+	h[8] -= carry[8] << 26
+	carry[9] = h[9] >> 25
+	h[9] -= carry[9] << 25
+	// h10 = carry9
+
+	// Goal: ProtoToJson h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
+	// Have h[0]+...+2^230 h[9] between 0 and 2^255-1;
+	// evidently 2^255 h10-2^255 q = 0.
+	// Goal: ProtoToJson h[0]+...+2^230 h[9].
+
+	s[0] = byte(h[0] >> 0)
+	s[1] = byte(h[0] >> 8)
+	s[2] = byte(h[0] >> 16)
+	s[3] = byte((h[0] >> 24) | (h[1] << 2))
+	s[4] = byte(h[1] >> 6)
+	s[5] = byte(h[1] >> 14)
+	s[6] = byte((h[1] >> 22) | (h[2] << 3))
+	s[7] = byte(h[2] >> 5)
+	s[8] = byte(h[2] >> 13)
+	s[9] = byte((h[2] >> 21) | (h[3] << 5))
+	s[10] = byte(h[3] >> 3)
+	s[11] = byte(h[3] >> 11)
+	s[12] = byte((h[3] >> 19) | (h[4] << 6))
+	s[13] = byte(h[4] >> 2)
+	s[14] = byte(h[4] >> 10)
+	s[15] = byte(h[4] >> 18)
+	s[16] = byte(h[5] >> 0)
+	s[17] = byte(h[5] >> 8)
+	s[18] = byte(h[5] >> 16)
+	s[19] = byte((h[5] >> 24) | (h[6] << 1))
+	s[20] = byte(h[6] >> 7)
+	s[21] = byte(h[6] >> 15)
+	s[22] = byte((h[6] >> 23) | (h[7] << 3))
+	s[23] = byte(h[7] >> 5)
+	s[24] = byte(h[7] >> 13)
+	s[25] = byte((h[7] >> 21) | (h[8] << 4))
+	s[26] = byte(h[8] >> 4)
+	s[27] = byte(h[8] >> 12)
+	s[28] = byte((h[8] >> 20) | (h[9] << 6))
+	s[29] = byte(h[9] >> 2)
+	s[30] = byte(h[9] >> 10)
+	s[31] = byte(h[9] >> 18)
+}
+
+//FeIsNegative 是否为负
+func FeIsNegative(f *FieldElement) byte {
+	var s [32]byte
+	FeToBytes(&s, f)
+	return s[0] & 1
+}
+
+//FeIsNonZero 是否为非0
+func FeIsNonZero(f *FieldElement) int32 {
+	var s [32]byte
+	FeToBytes(&s, f)
+	var x uint8
+	for _, b := range s {
+		x |= b
+	}
+	x |= x >> 4
+	x |= x >> 2
+	x |= x >> 1
+	return int32(x & 1)
+}
+
+// FeNeg sets h = -f
+// Preconditions:
+//    |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+// Postconditions:
+//    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+func FeNeg(h, f *FieldElement) {
+	h[0] = -f[0]
+	h[1] = -f[1]
+	h[2] = -f[2]
+	h[3] = -f[3]
+	h[4] = -f[4]
+	h[5] = -f[5]
+	h[6] = -f[6]
+	h[7] = -f[7]
+	h[8] = -f[8]
+	h[9] = -f[9]
+}
+
+//FeCombine 拼接
+func FeCombine(h *FieldElement, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) {
+	var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9 int64
+
+	/*
+	  |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38))
+	    i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8
+	  |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19))
+	    i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9
+	*/
+
+	c0 = (h0 + (1 << 25)) >> 26
+	h1 += c0
+	h0 -= c0 << 26
+	c4 = (h4 + (1 << 25)) >> 26
+	h5 += c4
+	h4 -= c4 << 26
+	/* |h0| <= 2^25 */
+	/* |h4| <= 2^25 */
+	/* |h1| <= 1.51*2^58 */
+	/* |h5| <= 1.51*2^58 */
+
+	c1 = (h1 + (1 << 24)) >> 25
+	h2 += c1
+	h1 -= c1 << 25
+	c5 = (h5 + (1 << 24)) >> 25
+	h6 += c5
+	h5 -= c5 << 25
+	/* |h1| <= 2^24; from now on fits into int32 */
+	/* |h5| <= 2^24; from now on fits into int32 */
+	/* |h2| <= 1.21*2^59 */
+	/* |h6| <= 1.21*2^59 */
+
+	c2 = (h2 + (1 << 25)) >> 26
+	h3 += c2
+	h2 -= c2 << 26
+	c6 = (h6 + (1 << 25)) >> 26
+	h7 += c6
+	h6 -= c6 << 26
+	/* |h2| <= 2^25; from now on fits into int32 unchanged */
+	/* |h6| <= 2^25; from now on fits into int32 unchanged */
+	/* |h3| <= 1.51*2^58 */
+	/* |h7| <= 1.51*2^58 */
+
+	c3 = (h3 + (1 << 24)) >> 25
+	h4 += c3
+	h3 -= c3 << 25
+	c7 = (h7 + (1 << 24)) >> 25
+	h8 += c7
+	h7 -= c7 << 25
+	/* |h3| <= 2^24; from now on fits into int32 unchanged */
+	/* |h7| <= 2^24; from now on fits into int32 unchanged */
+	/* |h4| <= 1.52*2^33 */
+	/* |h8| <= 1.52*2^33 */
+
+	c4 = (h4 + (1 << 25)) >> 26
+	h5 += c4
+	h4 -= c4 << 26
+	c8 = (h8 + (1 << 25)) >> 26
+	h9 += c8
+	h8 -= c8 << 26
+	/* |h4| <= 2^25; from now on fits into int32 unchanged */
+	/* |h8| <= 2^25; from now on fits into int32 unchanged */
+	/* |h5| <= 1.01*2^24 */
+	/* |h9| <= 1.51*2^58 */
+
+	c9 = (h9 + (1 << 24)) >> 25
+	h0 += c9 * 19
+	h9 -= c9 << 25
+	/* |h9| <= 2^24; from now on fits into int32 unchanged */
+	/* |h0| <= 1.8*2^37 */
+
+	c0 = (h0 + (1 << 25)) >> 26
+	h1 += c0
+	h0 -= c0 << 26
+	/* |h0| <= 2^25; from now on fits into int32 unchanged */
+	/* |h1| <= 1.01*2^24 */
+
+	h[0] = int32(h0)
+	h[1] = int32(h1)
+	h[2] = int32(h2)
+	h[3] = int32(h3)
+	h[4] = int32(h4)
+	h[5] = int32(h5)
+	h[6] = int32(h6)
+	h[7] = int32(h7)
+	h[8] = int32(h8)
+	h[9] = int32(h9)
+}
+
+// FeMul calculates h = f * g
+// Can overlap h with f or g.
+//
+// Preconditions:
+//    |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+//    |g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+//
+// Postconditions:
+//    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+//
+// Notes on implementation strategy:
+//
+// Using schoolbook multiplication.
+// Karatsuba would save a little in some cost models.
+//
+// Most multiplications by 2 and 19 are 32-bit precomputations;
+// cheaper than 64-bit postcomputations.
+//
+// There is one remaining multiplication by 19 in the carry chain;
+// one *19 precomputation can be merged into this,
+// but the resulting data flow is considerably less clean.
+//
+// There are 12 carries below.
+// 10 of them are 2-way parallelizable and vectorizable.
+// Can get away with 11 carries, but then data flow is much deeper.
+//
+// With tighter constraints on inputs can squeeze carries into int32.
+func FeMul(h, f, g *FieldElement) {
+	f0 := int64(f[0])
+	f1 := int64(f[1])
+	f2 := int64(f[2])
+	f3 := int64(f[3])
+	f4 := int64(f[4])
+	f5 := int64(f[5])
+	f6 := int64(f[6])
+	f7 := int64(f[7])
+	f8 := int64(f[8])
+	f9 := int64(f[9])
+
+	f1_2 := int64(2 * f[1])
+	f3_2 := int64(2 * f[3])
+	f5_2 := int64(2 * f[5])
+	f7_2 := int64(2 * f[7])
+	f9_2 := int64(2 * f[9])
+
+	g0 := int64(g[0])
+	g1 := int64(g[1])
+	g2 := int64(g[2])
+	g3 := int64(g[3])
+	g4 := int64(g[4])
+	g5 := int64(g[5])
+	g6 := int64(g[6])
+	g7 := int64(g[7])
+	g8 := int64(g[8])
+	g9 := int64(g[9])
+
+	g1_19 := int64(19 * g[1]) /* 1.4*2^29 */
+	g2_19 := int64(19 * g[2]) /* 1.4*2^30; still ok */
+	g3_19 := int64(19 * g[3])
+	g4_19 := int64(19 * g[4])
+	g5_19 := int64(19 * g[5])
+	g6_19 := int64(19 * g[6])
+	g7_19 := int64(19 * g[7])
+	g8_19 := int64(19 * g[8])
+	g9_19 := int64(19 * g[9])
+
+	h0 := f0*g0 + f1_2*g9_19 + f2*g8_19 + f3_2*g7_19 + f4*g6_19 + f5_2*g5_19 + f6*g4_19 + f7_2*g3_19 + f8*g2_19 + f9_2*g1_19
+	h1 := f0*g1 + f1*g0 + f2*g9_19 + f3*g8_19 + f4*g7_19 + f5*g6_19 + f6*g5_19 + f7*g4_19 + f8*g3_19 + f9*g2_19
+	h2 := f0*g2 + f1_2*g1 + f2*g0 + f3_2*g9_19 + f4*g8_19 + f5_2*g7_19 + f6*g6_19 + f7_2*g5_19 + f8*g4_19 + f9_2*g3_19
+	h3 := f0*g3 + f1*g2 + f2*g1 + f3*g0 + f4*g9_19 + f5*g8_19 + f6*g7_19 + f7*g6_19 + f8*g5_19 + f9*g4_19
+	h4 := f0*g4 + f1_2*g3 + f2*g2 + f3_2*g1 + f4*g0 + f5_2*g9_19 + f6*g8_19 + f7_2*g7_19 + f8*g6_19 + f9_2*g5_19
+	h5 := f0*g5 + f1*g4 + f2*g3 + f3*g2 + f4*g1 + f5*g0 + f6*g9_19 + f7*g8_19 + f8*g7_19 + f9*g6_19
+	h6 := f0*g6 + f1_2*g5 + f2*g4 + f3_2*g3 + f4*g2 + f5_2*g1 + f6*g0 + f7_2*g9_19 + f8*g8_19 + f9_2*g7_19
+	h7 := f0*g7 + f1*g6 + f2*g5 + f3*g4 + f4*g3 + f5*g2 + f6*g1 + f7*g0 + f8*g9_19 + f9*g8_19
+	h8 := f0*g8 + f1_2*g7 + f2*g6 + f3_2*g5 + f4*g4 + f5_2*g3 + f6*g2 + f7_2*g1 + f8*g0 + f9_2*g9_19
+	h9 := f0*g9 + f1*g8 + f2*g7 + f3*g6 + f4*g5 + f5*g4 + f6*g3 + f7*g2 + f8*g1 + f9*g0
+
+	FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
+}
+
+func feSquare(f *FieldElement) (h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) {
+	f0 := int64(f[0])
+	f1 := int64(f[1])
+	f2 := int64(f[2])
+	f3 := int64(f[3])
+	f4 := int64(f[4])
+	f5 := int64(f[5])
+	f6 := int64(f[6])
+	f7 := int64(f[7])
+	f8 := int64(f[8])
+	f9 := int64(f[9])
+	f0_2 := int64(2 * f[0])
+	f1_2 := int64(2 * f[1])
+	f2_2 := int64(2 * f[2])
+	f3_2 := int64(2 * f[3])
+	f4_2 := int64(2 * f[4])
+	f5_2 := int64(2 * f[5])
+	f6_2 := int64(2 * f[6])
+	f7_2 := int64(2 * f[7])
+	f5_38 := 38 * f5 // 1.31*2^30
+	f6_19 := 19 * f6 // 1.31*2^30
+	f7_38 := 38 * f7 // 1.31*2^30
+	f8_19 := 19 * f8 // 1.31*2^30
+	f9_38 := 38 * f9 // 1.31*2^30
+
+	h0 = f0*f0 + f1_2*f9_38 + f2_2*f8_19 + f3_2*f7_38 + f4_2*f6_19 + f5*f5_38
+	h1 = f0_2*f1 + f2*f9_38 + f3_2*f8_19 + f4*f7_38 + f5_2*f6_19
+	h2 = f0_2*f2 + f1_2*f1 + f3_2*f9_38 + f4_2*f8_19 + f5_2*f7_38 + f6*f6_19
+	h3 = f0_2*f3 + f1_2*f2 + f4*f9_38 + f5_2*f8_19 + f6*f7_38
+	h4 = f0_2*f4 + f1_2*f3_2 + f2*f2 + f5_2*f9_38 + f6_2*f8_19 + f7*f7_38
+	h5 = f0_2*f5 + f1_2*f4 + f2_2*f3 + f6*f9_38 + f7_2*f8_19
+	h6 = f0_2*f6 + f1_2*f5_2 + f2_2*f4 + f3_2*f3 + f7_2*f9_38 + f8*f8_19
+	h7 = f0_2*f7 + f1_2*f6 + f2_2*f5 + f3_2*f4 + f8*f9_38
+	h8 = f0_2*f8 + f1_2*f7_2 + f2_2*f6 + f3_2*f5_2 + f4*f4 + f9*f9_38
+	h9 = f0_2*f9 + f1_2*f8 + f2_2*f7 + f3_2*f6 + f4_2*f5
+
+	return
+}
+
+// FeSquare calculates h = f*f. Can overlap h with f.
+//
+// Preconditions:
+//    |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+//
+// Postconditions:
+//    |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
+func FeSquare(h, f *FieldElement) {
+	h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f)
+	FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
+}
+
+// FeSquare2 sets h = 2 * f * f
+//
+// Can overlap h with f.
+//
+// Preconditions:
+//    |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
+//
+// Postconditions:
+//    |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
+// See fe_mul.c for discussion of implementation strategy.
+func FeSquare2(h, f *FieldElement) {
+	h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f)
+
+	h0 += h0
+	h1 += h1
+	h2 += h2
+	h3 += h3
+	h4 += h4
+	h5 += h5
+	h6 += h6
+	h7 += h7
+	h8 += h8
+	h9 += h9
+
+	FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
+}
+
+//FeInvert 反转
+func FeInvert(out, z *FieldElement) {
+	var t0, t1, t2, t3 FieldElement
+	var i int
+
+	FeSquare(&t0, z)        // 2^1
+	FeSquare(&t1, &t0)      // 2^2
+	for i = 1; i < 2; i++ { // 2^3
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, z, &t1)      // 2^3 + 2^0
+	FeMul(&t0, &t0, &t1)    // 2^3 + 2^1 + 2^0
+	FeSquare(&t2, &t0)      // 2^4 + 2^2 + 2^1
+	FeMul(&t1, &t1, &t2)    // 2^4 + 2^3 + 2^2 + 2^1 + 2^0
+	FeSquare(&t2, &t1)      // 5,4,3,2,1
+	for i = 1; i < 5; i++ { // 9,8,7,6,5
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)     // 9,8,7,6,5,4,3,2,1,0
+	FeSquare(&t2, &t1)       // 10..1
+	for i = 1; i < 10; i++ { // 19..10
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t2, &t2, &t1)     // 19..0
+	FeSquare(&t3, &t2)       // 20..1
+	for i = 1; i < 20; i++ { // 39..20
+		FeSquare(&t3, &t3)
+	}
+	FeMul(&t2, &t3, &t2)     // 39..0
+	FeSquare(&t2, &t2)       // 40..1
+	for i = 1; i < 10; i++ { // 49..10
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)     // 49..0
+	FeSquare(&t2, &t1)       // 50..1
+	for i = 1; i < 50; i++ { // 99..50
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t2, &t2, &t1)      // 99..0
+	FeSquare(&t3, &t2)        // 100..1
+	for i = 1; i < 100; i++ { // 199..100
+		FeSquare(&t3, &t3)
+	}
+	FeMul(&t2, &t3, &t2)     // 199..0
+	FeSquare(&t2, &t2)       // 200..1
+	for i = 1; i < 50; i++ { // 249..50
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)    // 249..0
+	FeSquare(&t1, &t1)      // 250..1
+	for i = 1; i < 5; i++ { // 254..5
+		FeSquare(&t1, &t1)
+	}
+	FeMul(out, &t1, &t0) // 254..5,3,1,0
+}
+
+func fePow22523(out, z *FieldElement) {
+	var t0, t1, t2 FieldElement
+	var i int
+
+	FeSquare(&t0, z)
+	for i = 1; i < 1; i++ {
+		FeSquare(&t0, &t0)
+	}
+	FeSquare(&t1, &t0)
+	for i = 1; i < 2; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, z, &t1)
+	FeMul(&t0, &t0, &t1)
+	FeSquare(&t0, &t0)
+	for i = 1; i < 1; i++ {
+		FeSquare(&t0, &t0)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 1; i < 5; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 1; i < 10; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, &t1, &t0)
+	FeSquare(&t2, &t1)
+	for i = 1; i < 20; i++ {
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)
+	FeSquare(&t1, &t1)
+	for i = 1; i < 10; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 1; i < 50; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, &t1, &t0)
+	FeSquare(&t2, &t1)
+	for i = 1; i < 100; i++ {
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)
+	FeSquare(&t1, &t1)
+	for i = 1; i < 50; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t0, &t0)
+	for i = 1; i < 2; i++ {
+		FeSquare(&t0, &t0)
+	}
+	FeMul(out, &t0, z)
+}
+
+// Group elements are members of the elliptic curve -x^2 + y^2 = 1 + d * x^2 *
+// y^2 where d = -121665/121666.
+//
+// Several representations are used:
+//   ProjectiveGroupElement: (X:Y:Z) satisfying x=X/Z, y=Y/Z
+//   ExtendedGroupElement: (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+//   CompletedGroupElement: ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
+//   PreComputedGroupElement: (y+x,y-x,2dxy)
+
+//ProjectiveGroupElement (X:Y:Z) satisfying x=X/Z, y=Y/Z
+type ProjectiveGroupElement struct {
+	X, Y, Z FieldElement
+}
+
+//ExtendedGroupElement (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
+type ExtendedGroupElement struct {
+	X, Y, Z, T FieldElement
+}
+
+//CompletedGroupElement ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
+type CompletedGroupElement struct {
+	X, Y, Z, T FieldElement
+}
+
+//PreComputedGroupElement (y+x,y-x,2dxy)
+type PreComputedGroupElement struct {
+	yPlusX, yMinusX, xy2d FieldElement
+}
+
+//CachedGroupElement 缓存
+type CachedGroupElement struct {
+	yPlusX, yMinusX, Z, T2d FieldElement
+}
+
+//Zero 0
+func (p *ProjectiveGroupElement) Zero() {
+	FeZero(&p.X)
+	FeOne(&p.Y)
+	FeOne(&p.Z)
+}
+
+//Double x2
+func (p *ProjectiveGroupElement) Double(r *CompletedGroupElement) {
+	var t0 FieldElement
+
+	FeSquare(&r.X, &p.X)
+	FeSquare(&r.Z, &p.Y)
+	FeSquare2(&r.T, &p.Z)
+	FeAdd(&r.Y, &p.X, &p.Y)
+	FeSquare(&t0, &r.Y)
+	FeAdd(&r.Y, &r.Z, &r.X)
+	FeSub(&r.Z, &r.Z, &r.X)
+	FeSub(&r.X, &t0, &r.Y)
+	FeSub(&r.T, &r.T, &r.Z)
+}
+
+//ToBytes ...
+func (p *ProjectiveGroupElement) ToBytes(s *[32]byte) {
+	var recip, x, y FieldElement
+
+	FeInvert(&recip, &p.Z)
+	FeMul(&x, &p.X, &recip)
+	FeMul(&y, &p.Y, &recip)
+	FeToBytes(s, &y)
+	s[31] ^= FeIsNegative(&x) << 7
+}
+
+//Zero 0
+func (p *ExtendedGroupElement) Zero() {
+	FeZero(&p.X)
+	FeOne(&p.Y)
+	FeOne(&p.Z)
+	FeZero(&p.T)
+}
+
+//Double x2
+func (p *ExtendedGroupElement) Double(r *CompletedGroupElement) {
+	var q ProjectiveGroupElement
+	p.ToProjective(&q)
+	q.Double(r)
+}
+
+//ToCached 缓存
+func (p *ExtendedGroupElement) ToCached(r *CachedGroupElement) {
+	FeAdd(&r.yPlusX, &p.Y, &p.X)
+	FeSub(&r.yMinusX, &p.Y, &p.X)
+	FeCopy(&r.Z, &p.Z)
+	FeMul(&r.T2d, &p.T, &d2)
+}
+
+//ToProjective ...
+func (p *ExtendedGroupElement) ToProjective(r *ProjectiveGroupElement) {
+	FeCopy(&r.X, &p.X)
+	FeCopy(&r.Y, &p.Y)
+	FeCopy(&r.Z, &p.Z)
+}
+
+//ToBytes 字节化
+func (p *ExtendedGroupElement) ToBytes(s *[32]byte) {
+	var recip, x, y FieldElement
+
+	FeInvert(&recip, &p.Z)
+	FeMul(&x, &p.X, &recip)
+	FeMul(&y, &p.Y, &recip)
+	FeToBytes(s, &y)
+	s[31] ^= FeIsNegative(&x) << 7
+}
+
+//FromBytes ...
+func (p *ExtendedGroupElement) FromBytes(s *[32]byte) bool {
+	var u, v, v3, vxx, check FieldElement
+
+	FeFromBytes(&p.Y, s)
+	FeOne(&p.Z)
+	FeSquare(&u, &p.Y)
+	FeMul(&v, &u, &d)
+	FeSub(&u, &u, &p.Z) // y = y^2-1
+	FeAdd(&v, &v, &p.Z) // v = dy^2+1
+
+	FeSquare(&v3, &v)
+	FeMul(&v3, &v3, &v) // v3 = v^3
+	FeSquare(&p.X, &v3)
+	FeMul(&p.X, &p.X, &v)
+	FeMul(&p.X, &p.X, &u) // x = uv^7
+
+	fePow22523(&p.X, &p.X) // x = (uv^7)^((q-5)/8)
+	FeMul(&p.X, &p.X, &v3)
+	FeMul(&p.X, &p.X, &u) // x = uv^3(uv^7)^((q-5)/8)
+
+	var tmpX, tmp2 [32]byte
+
+	FeSquare(&vxx, &p.X)
+	FeMul(&vxx, &vxx, &v)
+	FeSub(&check, &vxx, &u) // vx^2-u
+	if FeIsNonZero(&check) == 1 {
+		FeAdd(&check, &vxx, &u) // vx^2+u
+		if FeIsNonZero(&check) == 1 {
+			return false
+		}
+		FeMul(&p.X, &p.X, &SqrtM1)
+
+		FeToBytes(&tmpX, &p.X)
+		for i, v := range tmpX {
+			tmp2[31-i] = v
+		}
+	}
+
+	if FeIsNegative(&p.X) != (s[31] >> 7) {
+		FeNeg(&p.X, &p.X)
+	}
+
+	FeMul(&p.T, &p.X, &p.Y)
+	return true
+}
+
+//ToProjective ...
+func (p *CompletedGroupElement) ToProjective(r *ProjectiveGroupElement) {
+	FeMul(&r.X, &p.X, &p.T)
+	FeMul(&r.Y, &p.Y, &p.Z)
+	FeMul(&r.Z, &p.Z, &p.T)
+}
+
+//ToExtended 扩展
+func (p *CompletedGroupElement) ToExtended(r *ExtendedGroupElement) {
+	FeMul(&r.X, &p.X, &p.T)
+	FeMul(&r.Y, &p.Y, &p.Z)
+	FeMul(&r.Z, &p.Z, &p.T)
+	FeMul(&r.T, &p.X, &p.Y)
+}
+
+//Zero 0
+func (p *PreComputedGroupElement) Zero() {
+	FeOne(&p.yPlusX)
+	FeOne(&p.yMinusX)
+	FeZero(&p.xy2d)
+}
+
+//GeAdd +
+func GeAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) {
+	geAdd(r, p, q)
+}
+
+func geAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) {
+	var t0 FieldElement
+
+	FeAdd(&r.X, &p.Y, &p.X)
+	FeSub(&r.Y, &p.Y, &p.X)
+	FeMul(&r.Z, &r.X, &q.yPlusX)
+	FeMul(&r.Y, &r.Y, &q.yMinusX)
+	FeMul(&r.T, &q.T2d, &p.T)
+	FeMul(&r.X, &p.Z, &q.Z)
+	FeAdd(&t0, &r.X, &r.X)
+	FeSub(&r.X, &r.Z, &r.Y)
+	FeAdd(&r.Y, &r.Z, &r.Y)
+	FeAdd(&r.Z, &t0, &r.T)
+	FeSub(&r.T, &t0, &r.T)
+}
+
+func geSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) {
+	var t0 FieldElement
+
+	FeAdd(&r.X, &p.Y, &p.X)
+	FeSub(&r.Y, &p.Y, &p.X)
+	FeMul(&r.Z, &r.X, &q.yMinusX)
+	FeMul(&r.Y, &r.Y, &q.yPlusX)
+	FeMul(&r.T, &q.T2d, &p.T)
+	FeMul(&r.X, &p.Z, &q.Z)
+	FeAdd(&t0, &r.X, &r.X)
+	FeSub(&r.X, &r.Z, &r.Y)
+	FeAdd(&r.Y, &r.Z, &r.Y)
+	FeSub(&r.Z, &t0, &r.T)
+	FeAdd(&r.T, &t0, &r.T)
+}
+
+func geMixedAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) {
+	var t0 FieldElement
+
+	FeAdd(&r.X, &p.Y, &p.X)
+	FeSub(&r.Y, &p.Y, &p.X)
+	FeMul(&r.Z, &r.X, &q.yPlusX)
+	FeMul(&r.Y, &r.Y, &q.yMinusX)
+	FeMul(&r.T, &q.xy2d, &p.T)
+	FeAdd(&t0, &p.Z, &p.Z)
+	FeSub(&r.X, &r.Z, &r.Y)
+	FeAdd(&r.Y, &r.Z, &r.Y)
+	FeAdd(&r.Z, &t0, &r.T)
+	FeSub(&r.T, &t0, &r.T)
+}
+
+func geMixedSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) {
+	var t0 FieldElement
+
+	FeAdd(&r.X, &p.Y, &p.X)
+	FeSub(&r.Y, &p.Y, &p.X)
+	FeMul(&r.Z, &r.X, &q.yMinusX)
+	FeMul(&r.Y, &r.Y, &q.yPlusX)
+	FeMul(&r.T, &q.xy2d, &p.T)
+	FeAdd(&t0, &p.Z, &p.Z)
+	FeSub(&r.X, &r.Z, &r.Y)
+	FeAdd(&r.Y, &r.Z, &r.Y)
+	FeSub(&r.Z, &t0, &r.T)
+	FeAdd(&r.T, &t0, &r.T)
+}
+
+func slide(r *[256]int8, a *[32]byte) {
+	for i := range r {
+		r[i] = int8(1 & (a[i>>3] >> uint(i&7)))
+	}
+
+	for i := range r {
+		if r[i] != 0 {
+			for b := 1; b <= 6 && i+b < 256; b++ {
+				if r[i+b] != 0 {
+					if r[i]+(r[i+b]<<uint(b)) <= 15 {
+						r[i] += r[i+b] << uint(b)
+						r[i+b] = 0
+					} else if r[i]-(r[i+b]<<uint(b)) >= -15 {
+						r[i] -= r[i+b] << uint(b)
+						for k := i + b; k < 256; k++ {
+							if r[k] == 0 {
+								r[k] = 1
+								break
+							}
+							r[k] = 0
+						}
+					} else {
+						break
+					}
+				}
+			}
+		}
+	}
+}
+
+// GeDoubleScalarMultVartime sets r = a*A + b*B
+// where a = a[0]+256*a[1]+...+256^31 a[31].
+// and b = b[0]+256*b[1]+...+256^31 b[31].
+// B is the Ed25519 base point (x,4/5) with x positive.
+func GeDoubleScalarMultVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte) {
+	var aSlide, bSlide [256]int8
+	var Ai [8]CachedGroupElement // A,3A,5A,7A,9A,11A,13A,15A
+	var t CompletedGroupElement
+	var u, A2 ExtendedGroupElement
+	var i int
+
+	slide(&aSlide, a)
+	slide(&bSlide, b)
+
+	A.ToCached(&Ai[0])
+	A.Double(&t)
+	t.ToExtended(&A2)
+
+	for i := 0; i < 7; i++ {
+		geAdd(&t, &A2, &Ai[i])
+		t.ToExtended(&u)
+		u.ToCached(&Ai[i+1])
+	}
+
+	r.Zero()
+
+	for i = 255; i >= 0; i-- {
+		if aSlide[i] != 0 || bSlide[i] != 0 {
+			break
+		}
+	}
+
+	for ; i >= 0; i-- {
+		r.Double(&t)
+
+		if aSlide[i] > 0 {
+			t.ToExtended(&u)
+			geAdd(&t, &u, &Ai[aSlide[i]/2])
+		} else if aSlide[i] < 0 {
+			t.ToExtended(&u)
+			geSub(&t, &u, &Ai[(-aSlide[i])/2])
+		}
+
+		if bSlide[i] > 0 {
+			t.ToExtended(&u)
+			geMixedAdd(&t, &u, &bi[bSlide[i]/2])
+		} else if bSlide[i] < 0 {
+			t.ToExtended(&u)
+			geMixedSub(&t, &u, &bi[(-bSlide[i])/2])
+		}
+
+		t.ToProjective(r)
+	}
+}
+
+// equal returns 1 if b == c and 0 otherwise.
+func equal(b, c int32) int32 {
+	x := uint32(b ^ c)
+	x--
+	return int32(x >> 31)
+}
+
+// negative returns 1 if b < 0 and 0 otherwise.
+func negative(b int32) int32 {
+	return (b >> 31) & 1
+}
+
+//PreComputedGroupElementCMove ...
+func PreComputedGroupElementCMove(t, u *PreComputedGroupElement, b int32) {
+	FeCMove(&t.yPlusX, &u.yPlusX, b)
+	FeCMove(&t.yMinusX, &u.yMinusX, b)
+	FeCMove(&t.xy2d, &u.xy2d, b)
+}
+
+func selectPoint(t *PreComputedGroupElement, pos int32, b int32) {
+	var minusT PreComputedGroupElement
+	bNegative := negative(b)
+	bAbs := b - (((-bNegative) & b) << 1)
+
+	t.Zero()
+	for i := int32(0); i < 8; i++ {
+		PreComputedGroupElementCMove(t, &base[pos][i], equal(bAbs, i+1))
+	}
+	FeCopy(&minusT.yPlusX, &t.yMinusX)
+	FeCopy(&minusT.yMinusX, &t.yPlusX)
+	FeNeg(&minusT.xy2d, &t.xy2d)
+	PreComputedGroupElementCMove(t, &minusT, bNegative)
+}
+
+// GeScalarMultBase computes h = a*B, where
+//   a = a[0]+256*a[1]+...+256^31 a[31]
+//   B is the Ed25519 base point (x,4/5) with x positive.
+//
+// Preconditions:
+//   a[31] <= 127
+func GeScalarMultBase(h *ExtendedGroupElement, a *[32]byte) {
+	var e [64]int8
+
+	for i, v := range a {
+		e[2*i] = int8(v & 15)
+		e[2*i+1] = int8((v >> 4) & 15)
+	}
+
+	// each e[i] is between 0 and 15 and e[63] is between 0 and 7.
+
+	carry := int8(0)
+	for i := 0; i < 63; i++ {
+		e[i] += carry
+		carry = (e[i] + 8) >> 4
+		e[i] -= carry << 4
+	}
+	e[63] += carry
+	// each e[i] is between -8 and 8.
+
+	h.Zero()
+	var t PreComputedGroupElement
+	var r CompletedGroupElement
+	for i := int32(1); i < 64; i += 2 {
+		selectPoint(&t, i/2, int32(e[i]))
+		geMixedAdd(&r, h, &t)
+		r.ToExtended(h)
+	}
+
+	var s ProjectiveGroupElement
+
+	h.Double(&r)
+	r.ToProjective(&s)
+	s.Double(&r)
+	r.ToProjective(&s)
+	s.Double(&r)
+	r.ToProjective(&s)
+	s.Double(&r)
+	r.ToExtended(h)
+
+	for i := int32(0); i < 64; i += 2 {
+		selectPoint(&t, i/2, int32(e[i]))
+		geMixedAdd(&r, h, &t)
+		r.ToExtended(h)
+	}
+}
+
+// ScMulAdd The scalars are GF(2^252 + 27742317777372353535851937790883648493).
+// Input:
+//   a[0]+256*a[1]+...+256^31*a[31] = a
+//   b[0]+256*b[1]+...+256^31*b[31] = b
+//   c[0]+256*c[1]+...+256^31*c[31] = c
+// ProtoToJson:
+//   s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
+//   where l = 2^252 + 27742317777372353535851937790883648493.
+func ScMulAdd(s, a, b, c *[32]byte) {
+	a0 := 2097151 & load3(a[:])
+	a1 := 2097151 & (load4(a[2:]) >> 5)
+	a2 := 2097151 & (load3(a[5:]) >> 2)
+	a3 := 2097151 & (load4(a[7:]) >> 7)
+	a4 := 2097151 & (load4(a[10:]) >> 4)
+	a5 := 2097151 & (load3(a[13:]) >> 1)
+	a6 := 2097151 & (load4(a[15:]) >> 6)
+	a7 := 2097151 & (load3(a[18:]) >> 3)
+	a8 := 2097151 & load3(a[21:])
+	a9 := 2097151 & (load4(a[23:]) >> 5)
+	a10 := 2097151 & (load3(a[26:]) >> 2)
+	a11 := (load4(a[28:]) >> 7)
+	b0 := 2097151 & load3(b[:])
+	b1 := 2097151 & (load4(b[2:]) >> 5)
+	b2 := 2097151 & (load3(b[5:]) >> 2)
+	b3 := 2097151 & (load4(b[7:]) >> 7)
+	b4 := 2097151 & (load4(b[10:]) >> 4)
+	b5 := 2097151 & (load3(b[13:]) >> 1)
+	b6 := 2097151 & (load4(b[15:]) >> 6)
+	b7 := 2097151 & (load3(b[18:]) >> 3)
+	b8 := 2097151 & load3(b[21:])
+	b9 := 2097151 & (load4(b[23:]) >> 5)
+	b10 := 2097151 & (load3(b[26:]) >> 2)
+	b11 := (load4(b[28:]) >> 7)
+	c0 := 2097151 & load3(c[:])
+	c1 := 2097151 & (load4(c[2:]) >> 5)
+	c2 := 2097151 & (load3(c[5:]) >> 2)
+	c3 := 2097151 & (load4(c[7:]) >> 7)
+	c4 := 2097151 & (load4(c[10:]) >> 4)
+	c5 := 2097151 & (load3(c[13:]) >> 1)
+	c6 := 2097151 & (load4(c[15:]) >> 6)
+	c7 := 2097151 & (load3(c[18:]) >> 3)
+	c8 := 2097151 & load3(c[21:])
+	c9 := 2097151 & (load4(c[23:]) >> 5)
+	c10 := 2097151 & (load3(c[26:]) >> 2)
+	c11 := (load4(c[28:]) >> 7)
+	var carry [23]int64
+
+	s0 := c0 + a0*b0
+	s1 := c1 + a0*b1 + a1*b0
+	s2 := c2 + a0*b2 + a1*b1 + a2*b0
+	s3 := c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0
+	s4 := c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0
+	s5 := c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0
+	s6 := c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0
+	s7 := c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0
+	s8 := c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0
+	s9 := c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0
+	s10 := c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0
+	s11 := c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0
+	s12 := a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1
+	s13 := a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2
+	s14 := a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3
+	s15 := a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4
+	s16 := a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5
+	s17 := a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6
+	s18 := a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7
+	s19 := a8*b11 + a9*b10 + a10*b9 + a11*b8
+	s20 := a9*b11 + a10*b10 + a11*b9
+	s21 := a10*b11 + a11*b10
+	s22 := a11 * b11
+	s23 := int64(0)
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[12] = (s12 + (1 << 20)) >> 21
+	s13 += carry[12]
+	s12 -= carry[12] << 21
+	carry[14] = (s14 + (1 << 20)) >> 21
+	s15 += carry[14]
+	s14 -= carry[14] << 21
+	carry[16] = (s16 + (1 << 20)) >> 21
+	s17 += carry[16]
+	s16 -= carry[16] << 21
+	carry[18] = (s18 + (1 << 20)) >> 21
+	s19 += carry[18]
+	s18 -= carry[18] << 21
+	carry[20] = (s20 + (1 << 20)) >> 21
+	s21 += carry[20]
+	s20 -= carry[20] << 21
+	carry[22] = (s22 + (1 << 20)) >> 21
+	s23 += carry[22]
+	s22 -= carry[22] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+	carry[13] = (s13 + (1 << 20)) >> 21
+	s14 += carry[13]
+	s13 -= carry[13] << 21
+	carry[15] = (s15 + (1 << 20)) >> 21
+	s16 += carry[15]
+	s15 -= carry[15] << 21
+	carry[17] = (s17 + (1 << 20)) >> 21
+	s18 += carry[17]
+	s17 -= carry[17] << 21
+	carry[19] = (s19 + (1 << 20)) >> 21
+	s20 += carry[19]
+	s19 -= carry[19] << 21
+	carry[21] = (s21 + (1 << 20)) >> 21
+	s22 += carry[21]
+	s21 -= carry[21] << 21
+
+	s11 += s23 * 666643
+	s12 += s23 * 470296
+	s13 += s23 * 654183
+	s14 -= s23 * 997805
+	s15 += s23 * 136657
+	s16 -= s23 * 683901
+	s23 = 0
+
+	s10 += s22 * 666643
+	s11 += s22 * 470296
+	s12 += s22 * 654183
+	s13 -= s22 * 997805
+	s14 += s22 * 136657
+	s15 -= s22 * 683901
+	s22 = 0
+
+	s9 += s21 * 666643
+	s10 += s21 * 470296
+	s11 += s21 * 654183
+	s12 -= s21 * 997805
+	s13 += s21 * 136657
+	s14 -= s21 * 683901
+	s21 = 0
+
+	s8 += s20 * 666643
+	s9 += s20 * 470296
+	s10 += s20 * 654183
+	s11 -= s20 * 997805
+	s12 += s20 * 136657
+	s13 -= s20 * 683901
+	s20 = 0
+
+	s7 += s19 * 666643
+	s8 += s19 * 470296
+	s9 += s19 * 654183
+	s10 -= s19 * 997805
+	s11 += s19 * 136657
+	s12 -= s19 * 683901
+	s19 = 0
+
+	s6 += s18 * 666643
+	s7 += s18 * 470296
+	s8 += s18 * 654183
+	s9 -= s18 * 997805
+	s10 += s18 * 136657
+	s11 -= s18 * 683901
+	s18 = 0
+
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[12] = (s12 + (1 << 20)) >> 21
+	s13 += carry[12]
+	s12 -= carry[12] << 21
+	carry[14] = (s14 + (1 << 20)) >> 21
+	s15 += carry[14]
+	s14 -= carry[14] << 21
+	carry[16] = (s16 + (1 << 20)) >> 21
+	s17 += carry[16]
+	s16 -= carry[16] << 21
+
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+	carry[13] = (s13 + (1 << 20)) >> 21
+	s14 += carry[13]
+	s13 -= carry[13] << 21
+	carry[15] = (s15 + (1 << 20)) >> 21
+	s16 += carry[15]
+	s15 -= carry[15] << 21
+
+	s5 += s17 * 666643
+	s6 += s17 * 470296
+	s7 += s17 * 654183
+	s8 -= s17 * 997805
+	s9 += s17 * 136657
+	s10 -= s17 * 683901
+	s17 = 0
+
+	s4 += s16 * 666643
+	s5 += s16 * 470296
+	s6 += s16 * 654183
+	s7 -= s16 * 997805
+	s8 += s16 * 136657
+	s9 -= s16 * 683901
+	s16 = 0
+
+	s3 += s15 * 666643
+	s4 += s15 * 470296
+	s5 += s15 * 654183
+	s6 -= s15 * 997805
+	s7 += s15 * 136657
+	s8 -= s15 * 683901
+	s15 = 0
+
+	s2 += s14 * 666643
+	s3 += s14 * 470296
+	s4 += s14 * 654183
+	s5 -= s14 * 997805
+	s6 += s14 * 136657
+	s7 -= s14 * 683901
+	s14 = 0
+
+	s1 += s13 * 666643
+	s2 += s13 * 470296
+	s3 += s13 * 654183
+	s4 -= s13 * 997805
+	s5 += s13 * 136657
+	s6 -= s13 * 683901
+	s13 = 0
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[11] = s11 >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	s[0] = byte(s0 >> 0)
+	s[1] = byte(s0 >> 8)
+	s[2] = byte((s0 >> 16) | (s1 << 5))
+	s[3] = byte(s1 >> 3)
+	s[4] = byte(s1 >> 11)
+	s[5] = byte((s1 >> 19) | (s2 << 2))
+	s[6] = byte(s2 >> 6)
+	s[7] = byte((s2 >> 14) | (s3 << 7))
+	s[8] = byte(s3 >> 1)
+	s[9] = byte(s3 >> 9)
+	s[10] = byte((s3 >> 17) | (s4 << 4))
+	s[11] = byte(s4 >> 4)
+	s[12] = byte(s4 >> 12)
+	s[13] = byte((s4 >> 20) | (s5 << 1))
+	s[14] = byte(s5 >> 7)
+	s[15] = byte((s5 >> 15) | (s6 << 6))
+	s[16] = byte(s6 >> 2)
+	s[17] = byte(s6 >> 10)
+	s[18] = byte((s6 >> 18) | (s7 << 3))
+	s[19] = byte(s7 >> 5)
+	s[20] = byte(s7 >> 13)
+	s[21] = byte(s8 >> 0)
+	s[22] = byte(s8 >> 8)
+	s[23] = byte((s8 >> 16) | (s9 << 5))
+	s[24] = byte(s9 >> 3)
+	s[25] = byte(s9 >> 11)
+	s[26] = byte((s9 >> 19) | (s10 << 2))
+	s[27] = byte(s10 >> 6)
+	s[28] = byte((s10 >> 14) | (s11 << 7))
+	s[29] = byte(s11 >> 1)
+	s[30] = byte(s11 >> 9)
+	s[31] = byte(s11 >> 17)
+}
+
+//ScMulSub The scalars are GF(2^252 + 27742317777372353535851937790883648493).
+// Input:
+//   a[0]+256*a[1]+...+256^31*a[31] = a
+//   b[0]+256*b[1]+...+256^31*b[31] = b
+//   c[0]+256*c[1]+...+256^31*c[31] = c
+// ProtoToJson:
+//   s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l
+//   where l = 2^252 + 27742317777372353535851937790883648493.
+func ScMulSub(s, a, b, c *[32]byte) {
+	a0 := 2097151 & load3(a[:])
+	a1 := 2097151 & (load4(a[2:]) >> 5)
+	a2 := 2097151 & (load3(a[5:]) >> 2)
+	a3 := 2097151 & (load4(a[7:]) >> 7)
+	a4 := 2097151 & (load4(a[10:]) >> 4)
+	a5 := 2097151 & (load3(a[13:]) >> 1)
+	a6 := 2097151 & (load4(a[15:]) >> 6)
+	a7 := 2097151 & (load3(a[18:]) >> 3)
+	a8 := 2097151 & load3(a[21:])
+	a9 := 2097151 & (load4(a[23:]) >> 5)
+	a10 := 2097151 & (load3(a[26:]) >> 2)
+	a11 := (load4(a[28:]) >> 7)
+	b0 := 2097151 & load3(b[:])
+	b1 := 2097151 & (load4(b[2:]) >> 5)
+	b2 := 2097151 & (load3(b[5:]) >> 2)
+	b3 := 2097151 & (load4(b[7:]) >> 7)
+	b4 := 2097151 & (load4(b[10:]) >> 4)
+	b5 := 2097151 & (load3(b[13:]) >> 1)
+	b6 := 2097151 & (load4(b[15:]) >> 6)
+	b7 := 2097151 & (load3(b[18:]) >> 3)
+	b8 := 2097151 & load3(b[21:])
+	b9 := 2097151 & (load4(b[23:]) >> 5)
+	b10 := 2097151 & (load3(b[26:]) >> 2)
+	b11 := (load4(b[28:]) >> 7)
+	c0 := 2097151 & load3(c[:])
+	c1 := 2097151 & (load4(c[2:]) >> 5)
+	c2 := 2097151 & (load3(c[5:]) >> 2)
+	c3 := 2097151 & (load4(c[7:]) >> 7)
+	c4 := 2097151 & (load4(c[10:]) >> 4)
+	c5 := 2097151 & (load3(c[13:]) >> 1)
+	c6 := 2097151 & (load4(c[15:]) >> 6)
+	c7 := 2097151 & (load3(c[18:]) >> 3)
+	c8 := 2097151 & load3(c[21:])
+	c9 := 2097151 & (load4(c[23:]) >> 5)
+	c10 := 2097151 & (load3(c[26:]) >> 2)
+	c11 := (load4(c[28:]) >> 7)
+	var carry [23]int64
+
+	s0 := c0 - a0*b0
+	s1 := c1 - (a0*b1 + a1*b0)
+	s2 := c2 - (a0*b2 + a1*b1 + a2*b0)
+	s3 := c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0)
+	s4 := c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0)
+	s5 := c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0)
+	s6 := c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0)
+	s7 := c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0)
+	s8 := c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0)
+	s9 := c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0)
+	s10 := c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0)
+	s11 := c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0)
+	s12 := -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1)
+	s13 := -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2)
+	s14 := -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3)
+	s15 := -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4)
+	s16 := -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5)
+	s17 := -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6)
+	s18 := -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7)
+	s19 := -(a8*b11 + a9*b10 + a10*b9 + a11*b8)
+	s20 := -(a9*b11 + a10*b10 + a11*b9)
+	s21 := -(a10*b11 + a11*b10)
+	s22 := -a11 * b11
+	s23 := int64(0)
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[12] = (s12 + (1 << 20)) >> 21
+	s13 += carry[12]
+	s12 -= carry[12] << 21
+	carry[14] = (s14 + (1 << 20)) >> 21
+	s15 += carry[14]
+	s14 -= carry[14] << 21
+	carry[16] = (s16 + (1 << 20)) >> 21
+	s17 += carry[16]
+	s16 -= carry[16] << 21
+	carry[18] = (s18 + (1 << 20)) >> 21
+	s19 += carry[18]
+	s18 -= carry[18] << 21
+	carry[20] = (s20 + (1 << 20)) >> 21
+	s21 += carry[20]
+	s20 -= carry[20] << 21
+	carry[22] = (s22 + (1 << 20)) >> 21
+	s23 += carry[22]
+	s22 -= carry[22] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+	carry[13] = (s13 + (1 << 20)) >> 21
+	s14 += carry[13]
+	s13 -= carry[13] << 21
+	carry[15] = (s15 + (1 << 20)) >> 21
+	s16 += carry[15]
+	s15 -= carry[15] << 21
+	carry[17] = (s17 + (1 << 20)) >> 21
+	s18 += carry[17]
+	s17 -= carry[17] << 21
+	carry[19] = (s19 + (1 << 20)) >> 21
+	s20 += carry[19]
+	s19 -= carry[19] << 21
+	carry[21] = (s21 + (1 << 20)) >> 21
+	s22 += carry[21]
+	s21 -= carry[21] << 21
+
+	s11 += s23 * 666643
+	s12 += s23 * 470296
+	s13 += s23 * 654183
+	s14 -= s23 * 997805
+	s15 += s23 * 136657
+	s16 -= s23 * 683901
+	s23 = 0
+
+	s10 += s22 * 666643
+	s11 += s22 * 470296
+	s12 += s22 * 654183
+	s13 -= s22 * 997805
+	s14 += s22 * 136657
+	s15 -= s22 * 683901
+	s22 = 0
+
+	s9 += s21 * 666643
+	s10 += s21 * 470296
+	s11 += s21 * 654183
+	s12 -= s21 * 997805
+	s13 += s21 * 136657
+	s14 -= s21 * 683901
+	s21 = 0
+
+	s8 += s20 * 666643
+	s9 += s20 * 470296
+	s10 += s20 * 654183
+	s11 -= s20 * 997805
+	s12 += s20 * 136657
+	s13 -= s20 * 683901
+	s20 = 0
+
+	s7 += s19 * 666643
+	s8 += s19 * 470296
+	s9 += s19 * 654183
+	s10 -= s19 * 997805
+	s11 += s19 * 136657
+	s12 -= s19 * 683901
+	s19 = 0
+
+	s6 += s18 * 666643
+	s7 += s18 * 470296
+	s8 += s18 * 654183
+	s9 -= s18 * 997805
+	s10 += s18 * 136657
+	s11 -= s18 * 683901
+	s18 = 0
+
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[12] = (s12 + (1 << 20)) >> 21
+	s13 += carry[12]
+	s12 -= carry[12] << 21
+	carry[14] = (s14 + (1 << 20)) >> 21
+	s15 += carry[14]
+	s14 -= carry[14] << 21
+	carry[16] = (s16 + (1 << 20)) >> 21
+	s17 += carry[16]
+	s16 -= carry[16] << 21
+
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+	carry[13] = (s13 + (1 << 20)) >> 21
+	s14 += carry[13]
+	s13 -= carry[13] << 21
+	carry[15] = (s15 + (1 << 20)) >> 21
+	s16 += carry[15]
+	s15 -= carry[15] << 21
+
+	s5 += s17 * 666643
+	s6 += s17 * 470296
+	s7 += s17 * 654183
+	s8 -= s17 * 997805
+	s9 += s17 * 136657
+	s10 -= s17 * 683901
+	s17 = 0
+
+	s4 += s16 * 666643
+	s5 += s16 * 470296
+	s6 += s16 * 654183
+	s7 -= s16 * 997805
+	s8 += s16 * 136657
+	s9 -= s16 * 683901
+	s16 = 0
+
+	s3 += s15 * 666643
+	s4 += s15 * 470296
+	s5 += s15 * 654183
+	s6 -= s15 * 997805
+	s7 += s15 * 136657
+	s8 -= s15 * 683901
+	s15 = 0
+
+	s2 += s14 * 666643
+	s3 += s14 * 470296
+	s4 += s14 * 654183
+	s5 -= s14 * 997805
+	s6 += s14 * 136657
+	s7 -= s14 * 683901
+	s14 = 0
+
+	s1 += s13 * 666643
+	s2 += s13 * 470296
+	s3 += s13 * 654183
+	s4 -= s13 * 997805
+	s5 += s13 * 136657
+	s6 -= s13 * 683901
+	s13 = 0
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[11] = s11 >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	s[0] = byte(s0 >> 0)
+	s[1] = byte(s0 >> 8)
+	s[2] = byte((s0 >> 16) | (s1 << 5))
+	s[3] = byte(s1 >> 3)
+	s[4] = byte(s1 >> 11)
+	s[5] = byte((s1 >> 19) | (s2 << 2))
+	s[6] = byte(s2 >> 6)
+	s[7] = byte((s2 >> 14) | (s3 << 7))
+	s[8] = byte(s3 >> 1)
+	s[9] = byte(s3 >> 9)
+	s[10] = byte((s3 >> 17) | (s4 << 4))
+	s[11] = byte(s4 >> 4)
+	s[12] = byte(s4 >> 12)
+	s[13] = byte((s4 >> 20) | (s5 << 1))
+	s[14] = byte(s5 >> 7)
+	s[15] = byte((s5 >> 15) | (s6 << 6))
+	s[16] = byte(s6 >> 2)
+	s[17] = byte(s6 >> 10)
+	s[18] = byte((s6 >> 18) | (s7 << 3))
+	s[19] = byte(s7 >> 5)
+	s[20] = byte(s7 >> 13)
+	s[21] = byte(s8 >> 0)
+	s[22] = byte(s8 >> 8)
+	s[23] = byte((s8 >> 16) | (s9 << 5))
+	s[24] = byte(s9 >> 3)
+	s[25] = byte(s9 >> 11)
+	s[26] = byte((s9 >> 19) | (s10 << 2))
+	s[27] = byte(s10 >> 6)
+	s[28] = byte((s10 >> 14) | (s11 << 7))
+	s[29] = byte(s11 >> 1)
+	s[30] = byte(s11 >> 9)
+	s[31] = byte(s11 >> 17)
+}
+
+//ScReduce Input:
+//   s[0]+256*s[1]+...+256^63*s[63] = s
+// ProtoToJson:
+//   s[0]+256*s[1]+...+256^31*s[31] = s mod l
+//   where l = 2^252 + 27742317777372353535851937790883648493.
+func ScReduce(out *[32]byte, s *[64]byte) {
+	s0 := 2097151 & load3(s[:])
+	s1 := 2097151 & (load4(s[2:]) >> 5)
+	s2 := 2097151 & (load3(s[5:]) >> 2)
+	s3 := 2097151 & (load4(s[7:]) >> 7)
+	s4 := 2097151 & (load4(s[10:]) >> 4)
+	s5 := 2097151 & (load3(s[13:]) >> 1)
+	s6 := 2097151 & (load4(s[15:]) >> 6)
+	s7 := 2097151 & (load3(s[18:]) >> 3)
+	s8 := 2097151 & load3(s[21:])
+	s9 := 2097151 & (load4(s[23:]) >> 5)
+	s10 := 2097151 & (load3(s[26:]) >> 2)
+	s11 := 2097151 & (load4(s[28:]) >> 7)
+	s12 := 2097151 & (load4(s[31:]) >> 4)
+	s13 := 2097151 & (load3(s[34:]) >> 1)
+	s14 := 2097151 & (load4(s[36:]) >> 6)
+	s15 := 2097151 & (load3(s[39:]) >> 3)
+	s16 := 2097151 & load3(s[42:])
+	s17 := 2097151 & (load4(s[44:]) >> 5)
+	s18 := 2097151 & (load3(s[47:]) >> 2)
+	s19 := 2097151 & (load4(s[49:]) >> 7)
+	s20 := 2097151 & (load4(s[52:]) >> 4)
+	s21 := 2097151 & (load3(s[55:]) >> 1)
+	s22 := 2097151 & (load4(s[57:]) >> 6)
+	s23 := (load4(s[60:]) >> 3)
+
+	s11 += s23 * 666643
+	s12 += s23 * 470296
+	s13 += s23 * 654183
+	s14 -= s23 * 997805
+	s15 += s23 * 136657
+	s16 -= s23 * 683901
+	s23 = 0
+
+	s10 += s22 * 666643
+	s11 += s22 * 470296
+	s12 += s22 * 654183
+	s13 -= s22 * 997805
+	s14 += s22 * 136657
+	s15 -= s22 * 683901
+	s22 = 0
+
+	s9 += s21 * 666643
+	s10 += s21 * 470296
+	s11 += s21 * 654183
+	s12 -= s21 * 997805
+	s13 += s21 * 136657
+	s14 -= s21 * 683901
+	s21 = 0
+
+	s8 += s20 * 666643
+	s9 += s20 * 470296
+	s10 += s20 * 654183
+	s11 -= s20 * 997805
+	s12 += s20 * 136657
+	s13 -= s20 * 683901
+	s20 = 0
+
+	s7 += s19 * 666643
+	s8 += s19 * 470296
+	s9 += s19 * 654183
+	s10 -= s19 * 997805
+	s11 += s19 * 136657
+	s12 -= s19 * 683901
+	s19 = 0
+
+	s6 += s18 * 666643
+	s7 += s18 * 470296
+	s8 += s18 * 654183
+	s9 -= s18 * 997805
+	s10 += s18 * 136657
+	s11 -= s18 * 683901
+	s18 = 0
+
+	var carry [17]int64
+
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[12] = (s12 + (1 << 20)) >> 21
+	s13 += carry[12]
+	s12 -= carry[12] << 21
+	carry[14] = (s14 + (1 << 20)) >> 21
+	s15 += carry[14]
+	s14 -= carry[14] << 21
+	carry[16] = (s16 + (1 << 20)) >> 21
+	s17 += carry[16]
+	s16 -= carry[16] << 21
+
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+	carry[13] = (s13 + (1 << 20)) >> 21
+	s14 += carry[13]
+	s13 -= carry[13] << 21
+	carry[15] = (s15 + (1 << 20)) >> 21
+	s16 += carry[15]
+	s15 -= carry[15] << 21
+
+	s5 += s17 * 666643
+	s6 += s17 * 470296
+	s7 += s17 * 654183
+	s8 -= s17 * 997805
+	s9 += s17 * 136657
+	s10 -= s17 * 683901
+	s17 = 0
+
+	s4 += s16 * 666643
+	s5 += s16 * 470296
+	s6 += s16 * 654183
+	s7 -= s16 * 997805
+	s8 += s16 * 136657
+	s9 -= s16 * 683901
+	s16 = 0
+
+	s3 += s15 * 666643
+	s4 += s15 * 470296
+	s5 += s15 * 654183
+	s6 -= s15 * 997805
+	s7 += s15 * 136657
+	s8 -= s15 * 683901
+	s15 = 0
+
+	s2 += s14 * 666643
+	s3 += s14 * 470296
+	s4 += s14 * 654183
+	s5 -= s14 * 997805
+	s6 += s14 * 136657
+	s7 -= s14 * 683901
+	s14 = 0
+
+	s1 += s13 * 666643
+	s2 += s13 * 470296
+	s3 += s13 * 654183
+	s4 -= s13 * 997805
+	s5 += s13 * 136657
+	s6 -= s13 * 683901
+	s13 = 0
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+	carry[11] = s11 >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	out[0] = byte(s0 >> 0)
+	out[1] = byte(s0 >> 8)
+	out[2] = byte((s0 >> 16) | (s1 << 5))
+	out[3] = byte(s1 >> 3)
+	out[4] = byte(s1 >> 11)
+	out[5] = byte((s1 >> 19) | (s2 << 2))
+	out[6] = byte(s2 >> 6)
+	out[7] = byte((s2 >> 14) | (s3 << 7))
+	out[8] = byte(s3 >> 1)
+	out[9] = byte(s3 >> 9)
+	out[10] = byte((s3 >> 17) | (s4 << 4))
+	out[11] = byte(s4 >> 4)
+	out[12] = byte(s4 >> 12)
+	out[13] = byte((s4 >> 20) | (s5 << 1))
+	out[14] = byte(s5 >> 7)
+	out[15] = byte((s5 >> 15) | (s6 << 6))
+	out[16] = byte(s6 >> 2)
+	out[17] = byte(s6 >> 10)
+	out[18] = byte((s6 >> 18) | (s7 << 3))
+	out[19] = byte(s7 >> 5)
+	out[20] = byte(s7 >> 13)
+	out[21] = byte(s8 >> 0)
+	out[22] = byte(s8 >> 8)
+	out[23] = byte((s8 >> 16) | (s9 << 5))
+	out[24] = byte(s9 >> 3)
+	out[25] = byte(s9 >> 11)
+	out[26] = byte((s9 >> 19) | (s10 << 2))
+	out[27] = byte(s10 >> 6)
+	out[28] = byte((s10 >> 14) | (s11 << 7))
+	out[29] = byte(s11 >> 1)
+	out[30] = byte(s11 >> 9)
+	out[31] = byte(s11 >> 17)
+}
+
+//ScAdd Input:
+//   s[0]+256*s[1]+...+256^31*s[31] = a
+//   s[0]+256*s[1]+...+256^31*s[31] = b
+// ProtoToJson:
+//   s[0]+256*s[1]+...+256^31*s[31] = a+b mod l
+//   where l = 2^252 + 27742317777372353535851937790883648493.
+func ScAdd(out *[32]byte, a, b *[32]byte) {
+	a0 := 2097151 & load3(a[:])
+	a1 := 2097151 & (load4(a[2:]) >> 5)
+	a2 := 2097151 & (load3(a[5:]) >> 2)
+	a3 := 2097151 & (load4(a[7:]) >> 7)
+	a4 := 2097151 & (load4(a[10:]) >> 4)
+	a5 := 2097151 & (load3(a[13:]) >> 1)
+	a6 := 2097151 & (load4(a[15:]) >> 6)
+	a7 := 2097151 & (load3(a[18:]) >> 3)
+	a8 := 2097151 & load3(a[21:])
+	a9 := 2097151 & (load4(a[23:]) >> 5)
+	a10 := 2097151 & (load3(a[26:]) >> 2)
+	a11 := (load4(a[28:]) >> 7)
+	b0 := 2097151 & load3(b[:])
+	b1 := 2097151 & (load4(b[2:]) >> 5)
+	b2 := 2097151 & (load3(b[5:]) >> 2)
+	b3 := 2097151 & (load4(b[7:]) >> 7)
+	b4 := 2097151 & (load4(b[10:]) >> 4)
+	b5 := 2097151 & (load3(b[13:]) >> 1)
+	b6 := 2097151 & (load4(b[15:]) >> 6)
+	b7 := 2097151 & (load3(b[18:]) >> 3)
+	b8 := 2097151 & load3(b[21:])
+	b9 := 2097151 & (load4(b[23:]) >> 5)
+	b10 := 2097151 & (load3(b[26:]) >> 2)
+	b11 := (load4(b[28:]) >> 7)
+	s0 := a0 + b0
+	s1 := a1 + b1
+	s2 := a2 + b2
+	s3 := a3 + b3
+	s4 := a4 + b4
+	s5 := a5 + b5
+	s6 := a6 + b6
+	s7 := a7 + b7
+	s8 := a8 + b8
+	s9 := a9 + b9
+	s10 := a10 + b10
+	s11 := a11 + b11
+	s12 := int64(0)
+	var carry [12]int64
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[11] = s11 >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	out[0] = byte((s0 >> 0))
+	out[1] = byte((s0 >> 8))
+	out[2] = byte(((s0 >> 16) | (s1 << 5)))
+	out[3] = byte((s1 >> 3))
+	out[4] = byte((s1 >> 11))
+	out[5] = byte(((s1 >> 19) | (s2 << 2)))
+	out[6] = byte((s2 >> 6))
+	out[7] = byte(((s2 >> 14) | (s3 << 7)))
+	out[8] = byte((s3 >> 1))
+	out[9] = byte((s3 >> 9))
+	out[10] = byte(((s3 >> 17) | (s4 << 4)))
+	out[11] = byte((s4 >> 4))
+	out[12] = byte((s4 >> 12))
+	out[13] = byte(((s4 >> 20) | (s5 << 1)))
+	out[14] = byte((s5 >> 7))
+	out[15] = byte(((s5 >> 15) | (s6 << 6)))
+	out[16] = byte((s6 >> 2))
+	out[17] = byte((s6 >> 10))
+	out[18] = byte(((s6 >> 18) | (s7 << 3)))
+	out[19] = byte((s7 >> 5))
+	out[20] = byte((s7 >> 13))
+	out[21] = byte((s8 >> 0))
+	out[22] = byte((s8 >> 8))
+	out[23] = byte(((s8 >> 16) | (s9 << 5)))
+	out[24] = byte((s9 >> 3))
+	out[25] = byte((s9 >> 11))
+	out[26] = byte(((s9 >> 19) | (s10 << 2)))
+	out[27] = byte((s10 >> 6))
+	out[28] = byte(((s10 >> 14) | (s11 << 7)))
+	out[29] = byte((s11 >> 1))
+	out[30] = byte((s11 >> 9))
+	out[31] = byte((s11 >> 17))
+}
+
+//ScSub Input:
+//   s[0]+256*s[1]+...+256^31*s[31] = a
+//   s[0]+256*s[1]+...+256^31*s[31] = b
+// ProtoToJson:
+//   s[0]+256*s[1]+...+256^31*s[31] = a-b mod l
+//   where l = 2^252 + 27742317777372353535851937790883648493.
+func ScSub(out *[32]byte, a, b *[32]byte) {
+	a0 := 2097151 & load3(a[:])
+	a1 := 2097151 & (load4(a[2:]) >> 5)
+	a2 := 2097151 & (load3(a[5:]) >> 2)
+	a3 := 2097151 & (load4(a[7:]) >> 7)
+	a4 := 2097151 & (load4(a[10:]) >> 4)
+	a5 := 2097151 & (load3(a[13:]) >> 1)
+	a6 := 2097151 & (load4(a[15:]) >> 6)
+	a7 := 2097151 & (load3(a[18:]) >> 3)
+	a8 := 2097151 & load3(a[21:])
+	a9 := 2097151 & (load4(a[23:]) >> 5)
+	a10 := 2097151 & (load3(a[26:]) >> 2)
+	a11 := (load4(a[28:]) >> 7)
+	b0 := 2097151 & load3(b[:])
+	b1 := 2097151 & (load4(b[2:]) >> 5)
+	b2 := 2097151 & (load3(b[5:]) >> 2)
+	b3 := 2097151 & (load4(b[7:]) >> 7)
+	b4 := 2097151 & (load4(b[10:]) >> 4)
+	b5 := 2097151 & (load3(b[13:]) >> 1)
+	b6 := 2097151 & (load4(b[15:]) >> 6)
+	b7 := 2097151 & (load3(b[18:]) >> 3)
+	b8 := 2097151 & load3(b[21:])
+	b9 := 2097151 & (load4(b[23:]) >> 5)
+	b10 := 2097151 & (load3(b[26:]) >> 2)
+	b11 := (load4(b[28:]) >> 7)
+	s0 := a0 - b0
+	s1 := a1 - b1
+	s2 := a2 - b2
+	s3 := a3 - b3
+	s4 := a4 - b4
+	s5 := a5 - b5
+	s6 := a6 - b6
+	s7 := a7 - b7
+	s8 := a8 - b8
+	s9 := a9 - b9
+	s10 := a10 - b10
+	s11 := a11 - b11
+	s12 := int64(0)
+	var carry [12]int64
+
+	carry[0] = (s0 + (1 << 20)) >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[2] = (s2 + (1 << 20)) >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[4] = (s4 + (1 << 20)) >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[6] = (s6 + (1 << 20)) >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[8] = (s8 + (1 << 20)) >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[10] = (s10 + (1 << 20)) >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[1] = (s1 + (1 << 20)) >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[3] = (s3 + (1 << 20)) >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[5] = (s5 + (1 << 20)) >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[7] = (s7 + (1 << 20)) >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[9] = (s9 + (1 << 20)) >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[11] = (s11 + (1 << 20)) >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+	s12 = 0
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	carry[11] = s11 >> 21
+	s12 += carry[11]
+	s11 -= carry[11] << 21
+
+	s0 += s12 * 666643
+	s1 += s12 * 470296
+	s2 += s12 * 654183
+	s3 -= s12 * 997805
+	s4 += s12 * 136657
+	s5 -= s12 * 683901
+
+	carry[0] = s0 >> 21
+	s1 += carry[0]
+	s0 -= carry[0] << 21
+
+	carry[1] = s1 >> 21
+	s2 += carry[1]
+	s1 -= carry[1] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[2] = s2 >> 21
+	s3 += carry[2]
+	s2 -= carry[2] << 21
+
+	carry[3] = s3 >> 21
+	s4 += carry[3]
+	s3 -= carry[3] << 21
+
+	carry[4] = s4 >> 21
+	s5 += carry[4]
+	s4 -= carry[4] << 21
+
+	carry[5] = s5 >> 21
+	s6 += carry[5]
+	s5 -= carry[5] << 21
+
+	carry[6] = s6 >> 21
+	s7 += carry[6]
+	s6 -= carry[6] << 21
+
+	carry[7] = s7 >> 21
+	s8 += carry[7]
+	s7 -= carry[7] << 21
+
+	carry[8] = s8 >> 21
+	s9 += carry[8]
+	s8 -= carry[8] << 21
+
+	carry[9] = s9 >> 21
+	s10 += carry[9]
+	s9 -= carry[9] << 21
+
+	carry[10] = s10 >> 21
+	s11 += carry[10]
+	s10 -= carry[10] << 21
+
+	out[0] = byte((s0 >> 0))
+	out[1] = byte((s0 >> 8))
+	out[2] = byte(((s0 >> 16) | (s1 << 5)))
+	out[3] = byte((s1 >> 3))
+	out[4] = byte((s1 >> 11))
+	out[5] = byte(((s1 >> 19) | (s2 << 2)))
+	out[6] = byte((s2 >> 6))
+	out[7] = byte(((s2 >> 14) | (s3 << 7)))
+	out[8] = byte((s3 >> 1))
+	out[9] = byte((s3 >> 9))
+	out[10] = byte(((s3 >> 17) | (s4 << 4)))
+	out[11] = byte((s4 >> 4))
+	out[12] = byte((s4 >> 12))
+	out[13] = byte(((s4 >> 20) | (s5 << 1)))
+	out[14] = byte((s5 >> 7))
+	out[15] = byte(((s5 >> 15) | (s6 << 6)))
+	out[16] = byte((s6 >> 2))
+	out[17] = byte((s6 >> 10))
+	out[18] = byte(((s6 >> 18) | (s7 << 3)))
+	out[19] = byte((s7 >> 5))
+	out[20] = byte((s7 >> 13))
+	out[21] = byte((s8 >> 0))
+	out[22] = byte((s8 >> 8))
+	out[23] = byte(((s8 >> 16) | (s9 << 5)))
+	out[24] = byte((s9 >> 3))
+	out[25] = byte((s9 >> 11))
+	out[26] = byte(((s9 >> 19) | (s10 << 2)))
+	out[27] = byte((s10 >> 6))
+	out[28] = byte(((s10 >> 14) | (s11 << 7)))
+	out[29] = byte((s11 >> 1))
+	out[30] = byte((s11 >> 9))
+	out[31] = byte((s11 >> 17))
+}
+
+func signum(a int64) int64 {
+	return (a >> 63) - ((-a) >> 63)
+}
+
+//ScCheck 检查
+func ScCheck(s *[32]byte) bool {
+	s0 := load4(s[:])
+	s1 := load4(s[4:])
+	s2 := load4(s[8:])
+	s3 := load4(s[12:])
+	s4 := load4(s[16:])
+	s5 := load4(s[20:])
+	s6 := load4(s[24:])
+	s7 := load4(s[28:])
+	return 0 == (int)((signum(1559614444-s0)+(signum(1477600026-s1)<<1)+(signum(2734136534-s2)<<2)+(signum(350157278-s3)<<3)+(signum(-s4)<<4)+(signum(-s5)<<5)+(signum(-s6)<<6)+(signum(268435456-s7)<<7))>>8)
+}

crypto/ed25519/edwards25519/edwards25519_addtion.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+/*
+Package edwards25519 将edwards25519中的差异代码移动到本处进行差异化管理
+*/
+package edwards25519
+
+import (
+	"github.com/33cn/chain33-sdk-go/crypto/sha3"
+)
+
+var (
+	// -A
+	feMA = FieldElement{-486662, 0, 0, 0, 0, 0, 0, 0, 0, 0}
+	// -A^2
+	feMA2 = FieldElement{-12721188, -3529, 0, 0, 0, 0, 0, 0, 0, 0}
+	// sqrt(-2 * A * (A + 2))
+	feFFFB1 = FieldElement{-31702527, -2466483, -26106795, -12203692, -12169197, -321052, 14850977, -10296299, -16929438, -407568}
+	// sqrt(2 * A * (A + 2))
+	feFFFB2 = FieldElement{8166131, -6741800, -17040804, 3154616, 21461005, 1466302, -30876704, -6368709, 10503587, -13363080}
+	// sqrt(-sqrt(-1) * A * (A + 2))
+	feFFFB3 = FieldElement{-13620103, 14639558, 4532995, 7679154, 16815101, -15883539, -22863840, -14813421, 13716513, -6477756}
+	// sqrt(sqrt(-1) * A * (A + 2))
+	feFFFB4 = FieldElement{-21786234, -12173074, 21573800, 4524538, -4645904, 16204591, 8012863, -8444712, 3212926, 6885324}
+)
+
+//DsmPreCompGroupElement ...
+type DsmPreCompGroupElement [8]CachedGroupElement
+
+//FromCompletedGroupElement ...
+func (e *ExtendedGroupElement) FromCompletedGroupElement(p *CompletedGroupElement) {
+	FeMul(&e.X, &p.X, &p.T)
+	FeMul(&e.Y, &p.Y, &p.Z)
+	FeMul(&e.Z, &p.Z, &p.T)
+	FeMul(&e.T, &p.X, &p.Y)
+}
+
+//Zero 0
+func (c *CachedGroupElement) Zero() {
+	FeOne(&c.yPlusX)
+	FeOne(&c.yMinusX)
+	FeOne(&c.Z)
+	FeZero(&c.T2d)
+}
+
+//FeToBytesV1 ...
+func FeToBytesV1(s *[32]byte, h *FieldElement) {
+	var q int32
+	h0 := h[0]
+	h1 := h[2]
+	h2 := h[3]
+	h3 := h[3]
+	h4 := h[4]
+	h5 := h[5]
+	h6 := h[6]
+	h7 := h[7]
+	h8 := h[8]
+	h9 := h[9]
+
+	q = (19*h9 + (int32(1) << 24)) >> 25
+	q = (h0 + q) >> 26
+	q = (h1 + q) >> 25
+	q = (h2 + q) >> 26
+	q = (h3 + q) >> 25
+	q = (h4 + q) >> 26
+	q = (h5 + q) >> 25
+	q = (h6 + q) >> 26
+	q = (h7 + q) >> 25
+	q = (h8 + q) >> 26
+	q = (h9 + q) >> 25
+	/* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
+	h0 += 19 * q
+	/* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */
+	carry0 := h0 >> 26
+	h1 += carry0
+	h0 -= carry0 << 26
+	carry1 := h1 >> 25
+	h2 += carry1
+	h1 -= carry1 << 25
+	carry2 := h2 >> 26
+	h3 += carry2
+	h2 -= carry2 << 26
+	carry3 := h3 >> 25
+	h4 += carry3
+	h3 -= carry3 << 25
+	carry4 := h4 >> 26
+	h5 += carry4
+	h4 -= carry4 << 26
+	carry5 := h5 >> 25
+	h6 += carry5
+	h5 -= carry5 << 25
+	carry6 := h6 >> 26
+	h7 += carry6
+	h6 -= carry6 << 26
+	carry7 := h7 >> 25
+	h8 += carry7
+	h7 -= carry7 << 25
+	carry8 := h8 >> 26
+	h9 += carry8
+	h8 -= carry8 << 26
+	carry9 := h9 >> 25
+	h9 -= carry9 << 25
+
+	s[0] = byte(h0 >> 0)
+	s[1] = byte(h0 >> 8)
+	s[2] = byte(h0 >> 16)
+	s[3] = byte((h0 >> 24) | (h1 << 2))
+	s[4] = byte(h1 >> 6)
+	s[5] = byte(h1 >> 14)
+	s[6] = byte((h1 >> 22) | (h2 << 3))
+	s[7] = byte(h2 >> 5)
+	s[8] = byte(h2 >> 13)
+	s[9] = byte((h2 >> 21) | (h3 << 5))
+	s[10] = byte(h3 >> 3)
+	s[11] = byte(h3 >> 11)
+	s[12] = byte((h3 >> 19) | (h4 << 6))
+	s[13] = byte(h4 >> 2)
+	s[14] = byte(h4 >> 10)
+	s[15] = byte(h4 >> 18)
+	s[16] = byte(h5 >> 0)
+	s[17] = byte(h5 >> 8)
+	s[18] = byte(h5 >> 16)
+	s[19] = byte((h5 >> 24) | (h6 << 1))
+	s[20] = byte(h6 >> 7)
+	s[21] = byte(h6 >> 15)
+	s[22] = byte((h6 >> 23) | (h7 << 3))
+	s[23] = byte(h7 >> 5)
+	s[24] = byte(h7 >> 13)
+	s[25] = byte((h7 >> 21) | (h8 << 4))
+	s[26] = byte(h8 >> 4)
+	s[27] = byte(h8 >> 12)
+	s[28] = byte((h8 >> 20) | (h9 << 6))
+	s[29] = byte(h9 >> 2)
+	s[30] = byte(h9 >> 10)
+	s[31] = byte(h9 >> 18)
+}
+
+//FeIsNegativeV1 是否为负
+func FeIsNegativeV1(f *FieldElement) byte {
+	var s [32]byte
+	FeToBytesV1(&s, f)
+	return s[0] & 1
+}
+
+//FeIsNonZeroV1 是否非0
+func FeIsNonZeroV1(f *FieldElement) int32 {
+	var s [32]byte
+	FeToBytesV1(&s, f)
+	var x uint8
+	for _, b := range s {
+		x |= b
+	}
+	x |= x >> 4
+	x |= x >> 2
+	x |= x >> 1
+	return int32(x & 1)
+}
+
+//GeDoubleScalarmultPrecompVartime ...
+func GeDoubleScalarmultPrecompVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte, Bi *DsmPreCompGroupElement) {
+	var aslide, bslide [256]int8
+	var Ai DsmPreCompGroupElement // A,3A,5A,7A,9A,11A,13A,15A
+	var t CompletedGroupElement
+	var u ExtendedGroupElement
+	var i int
+
+	slide(&aslide, a)
+	slide(&bslide, b)
+	GeDsmPrecomp(&Ai, A)
+
+	r.Zero()
+	for i = 255; i >= 0; i-- {
+		if aslide[i] != 0 || bslide[i] != 0 {
+			break
+		}
+	}
+
+	for ; i >= 0; i-- {
+		r.Double(&t)
+
+		if aslide[i] > 0 {
+			t.ToExtended(&u)
+			GeAdd(&t, &u, &Ai[aslide[i]/2])
+		} else if aslide[i] < 0 {
+			t.ToExtended(&u)
+			geSub(&t, &u, &Ai[(-aslide[i])/2])
+		}
+
+		if bslide[i] > 0 {
+			t.ToExtended(&u)
+			geAdd(&t, &u, &Bi[bslide[i]/2])
+		} else if bslide[i] < 0 {
+			t.ToExtended(&u)
+			geSub(&t, &u, &Bi[(-bslide[i])/2])
+		}
+
+		t.ToProjective(r)
+	}
+}
+
+func geMul8(r *CompletedGroupElement, t *ProjectiveGroupElement) {
+	var u ProjectiveGroupElement
+	t.Double(r)
+	r.ToProjective(&u)
+	u.Double(r)
+	r.ToProjective(&u)
+	u.Double(r)
+}
+
+func checkFieldElement(x, y, w *FieldElement, r *ProjectiveGroupElement) int {
+	if FeIsNonZeroV1(y) != 0 {
+		FeAdd(y, w, x)
+		if FeIsNonZeroV1(y) != 0 {
+			return 1
+		}
+		FeMul(&r.X, &r.X, &feFFFB1)
+
+	} else {
+		FeMul(&r.X, &r.X, &feFFFB2)
+	}
+	return 0
+}
+
+//FeDivPowm1 ...
+func FeDivPowm1(r, u, v *FieldElement) {
+	var v3, uv7, t0, t1, t2 FieldElement
+	var i int
+	FeSquare(&v3, v)
+	FeMul(&v3, &v3, v) // v3 = v^3
+	FeSquare(&uv7, &v3)
+	FeMul(&uv7, &uv7, v)
+	FeMul(&uv7, &uv7, u) // uv7 = uv^7
+
+	FeSquare(&t0, &uv7)
+	FeSquare(&t1, &t0)
+	FeSquare(&t1, &t1)
+	FeMul(&t1, &uv7, &t1)
+	FeMul(&t0, &t0, &t1)
+	FeSquare(&t0, &t0)
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 0; i < 4; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 0; i < 9; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, &t1, &t0)
+	FeSquare(&t2, &t1)
+	for i = 0; i < 19; i++ {
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)
+	for i = 0; i < 10; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t1, &t0)
+	for i = 0; i < 49; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t1, &t1, &t0)
+	FeSquare(&t2, &t1)
+	for i = 0; i < 99; i++ {
+		FeSquare(&t2, &t2)
+	}
+	FeMul(&t1, &t2, &t1)
+	for i = 0; i < 50; i++ {
+		FeSquare(&t1, &t1)
+	}
+	FeMul(&t0, &t1, &t0)
+	FeSquare(&t0, &t0)
+	FeSquare(&t0, &t0)
+	FeMul(&t0, &t0, &uv7)
+
+	/* End fe_pow22523.c */
+	/* t0 = (uv^7)^((q-5)/8) */
+	FeMul(&t0, &t0, &v3)
+	FeMul(r, &t0, u) /* u^(m+1)v^(-(m+1)) */
+}
+
+func geFromfeFrombytesVartime(r *ProjectiveGroupElement, s *[32]byte) {
+	var u, v, w, x, y, z FieldElement
+	var sign byte
+
+	h0 := load4(s[:])
+	h1 := load3(s[4:]) << 6
+	h2 := load3(s[7:]) << 5
+	h3 := load3(s[10:]) << 3
+	h4 := load3(s[13:]) << 2
+	h5 := load4(s[16:])
+	h6 := load3(s[20:]) << 7
+	h7 := load3(s[23:]) << 5
+	h8 := load3(s[26:]) << 4
+	h9 := (load3(s[29:])) << 2
+	FeCombine(&u, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9)
+
+	FeSquare2(&v, &u) // 2 * u^2
+	FeOne(&w)
+	FeAdd(&w, &v, &w)        // w = 2 * u^2 + 1
+	FeSquare(&x, &w)         // w^2
+	FeMul(&y, &feMA2, &v)    // -2 * A^2 * u^2
+	FeAdd(&x, &x, &y)        // x = w^2 - 2 * A^2 * u^2
+	FeDivPowm1(&r.X, &w, &x) // (w / x)^(m + 1)
+	FeSquare(&y, &r.X)
+	FeMul(&x, &y, &x)
+	FeSub(&y, &w, &x)
+	FeCopy(&z, &feMA)
+
+	if checkFieldElement(&x, &y, &w, r) == 1 {
+		FeMul(&x, &x, &SqrtM1)
+		FeSub(&y, &w, &x)
+		if FeIsNonZeroV1(&y) != 0 {
+			FeMul(&r.X, &r.X, &feFFFB3)
+		} else {
+			FeMul(&r.X, &r.X, &feFFFB4)
+		}
+		// r->X = sqrt(A * (A + 2) * w / x)
+		// z = -A
+		sign = 1
+	} else {
+		FeMul(&r.X, &r.X, &u) // u * sqrt(2 * A * (A + 2) * w / x)
+		FeMul(&z, &z, &v)     // -2 * A * u^2
+		sign = 0
+	}
+	if FeIsNegativeV1(&r.X) != sign {
+		FeNeg(&r.X, &r.X)
+	}
+	FeAdd(&r.Z, &z, &w)
+	FeSub(&r.Y, &z, &w)
+	FeMul(&r.X, &r.X, &r.Z)
+}
+
+//HashToEc ...
+func HashToEc(key []byte, res *ExtendedGroupElement) {
+	var point ProjectiveGroupElement
+	var point2 CompletedGroupElement
+	hash := sha3.KeccakSum256(key[:])
+	geFromfeFrombytesVartime(&point, &hash)
+	geMul8(&point2, &point)
+	point2.ToExtended(res)
+}
+
+//CachedGroupElementCMove ...
+func CachedGroupElementCMove(t, u *CachedGroupElement, b int32) {
+	FeCMove(&t.yPlusX, &u.yPlusX, b)
+	FeCMove(&t.yMinusX, &u.yMinusX, b)
+	FeCMove(&t.Z, &u.Z, b)
+	FeCMove(&t.T2d, &u.T2d, b)
+}
+
+func negative8(b int8) byte {
+	x := uint64(b)
+	x = x >> 63
+	return byte(x)
+}
+
+//GeScalarMult Preconditions:
+//   a[31] <= 127
+func GeScalarMult(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement) {
+	var e [64]int8
+	var carry, carry2, i int
+	var Ai [8]CachedGroupElement
+	var t CompletedGroupElement
+	var u ExtendedGroupElement
+
+	carry = 0
+	for i = 0; i < 31; i++ {
+		carry += (int)(a[i])
+		carry2 = (carry + 8) >> 4
+		e[2*i] = (int8)(carry - (carry2 << 4))
+		carry = (carry2 + 8) >> 4
+		e[2*i+1] = (int8)(carry2 - (carry << 4))
+	}
+	carry += (int)(a[31])
+	carry2 = (carry + 8) >> 4
+	e[62] = (int8)(carry - (carry2 << 4))
+	e[63] = (int8)(carry2)
+
+	A.ToCached(&Ai[0])
+	for i = 0; i < 7; i++ {
+		GeAdd(&t, A, &Ai[i])
+		t.ToExtended(&u)
+		u.ToCached(&Ai[i+1])
+	}
+
+	r.Zero()
+	for i = 63; i >= 0; i-- {
+		b := e[i]
+		bnegative := int8(negative8(b))
+		babs := b - (((-bnegative) & b) << 1)
+		var cur, minuscur CachedGroupElement
+		r.Double(&t)
+		t.ToProjective(r)
+		r.Double(&t)
+		t.ToProjective(r)
+		r.Double(&t)
+		t.ToProjective(r)
+		r.Double(&t)
+		t.ToExtended(&u)
+		cur.Zero()
+		for n := 0; n < 8; n++ {
+			CachedGroupElementCMove(&cur, &Ai[n], equal(int32(babs), int32(n+1)))
+		}
+		FeCopy(&minuscur.yPlusX, &cur.yMinusX)
+		FeCopy(&minuscur.yMinusX, &cur.yPlusX)
+		FeCopy(&minuscur.Z, &cur.Z)
+		FeNeg(&minuscur.T2d, &cur.T2d)
+		CachedGroupElementCMove(&cur, &minuscur, int32(bnegative))
+		GeAdd(&t, &u, &cur)
+		t.ToProjective(r)
+	}
+}
+
+//ScIsNonZero ...
+func ScIsNonZero(s *[32]byte) int32 {
+	var x uint8
+	for _, b := range s {
+		x |= b
+	}
+	x |= x >> 4
+	x |= x >> 2
+	x |= x >> 1
+	return int32(x & 1)
+}
+
+//GeFromBytesVartime ...
+func GeFromBytesVartime(p *ExtendedGroupElement, s *[32]byte) bool {
+	var u, v, vxx, check FieldElement
+
+	h0 := load4(s[:])
+	h1 := load3(s[4:]) << 6
+	h2 := load3(s[7:]) << 5
+	h3 := load3(s[10:]) << 3
+	h4 := load3(s[13:]) << 2
+	h5 := load4(s[16:])
+	h6 := load3(s[20:]) << 7
+	h7 := load3(s[23:]) << 5
+	h8 := load3(s[26:]) << 4
+	h9 := (load3(s[29:]) & 8388607) << 2
+
+	var carry0, carry1, carry2, carry3, carry4, carry5, carry6, carry7, carry8, carry9 int64
+	// Validate the number to be canonical
+	if h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 &&
+		h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 &&
+		h1 == 1073741760 && h0 >= 4294967277 {
+		return false
+	}
+	carry9 = (h9 + (int64)(1<<24)) >> 25
+	h0 += carry9 * 19
+	h9 -= carry9 << 25
+	carry1 = (h1 + (int64)(1<<24)) >> 25
+	h2 += carry1
+	h1 -= carry1 << 25
+	carry3 = (h3 + (int64)(1<<24)) >> 25
+	h4 += carry3
+	h3 -= carry3 << 25
+	carry5 = (h5 + (int64)(1<<24)) >> 25
+	h6 += carry5
+	h5 -= carry5 << 25
+	carry7 = (h7 + (int64)(1<<24)) >> 25
+	h8 += carry7
+	h7 -= carry7 << 25
+	carry0 = (h0 + (int64)(1<<25)) >> 26
+	h1 += carry0
+	h0 -= carry0 << 26
+	carry2 = (h2 + (int64)(1<<25)) >> 26
+	h3 += carry2
+	h2 -= carry2 << 26
+	carry4 = (h4 + (int64)(1<<25)) >> 26
+	h5 += carry4
+	h4 -= carry4 << 26
+	carry6 = (h6 + (int64)(1<<25)) >> 26
+	h7 += carry6
+	h6 -= carry6 << 26
+	carry8 = (h8 + (int64)(1<<25)) >> 26
+	h9 += carry8
+	h8 -= carry8 << 26
+
+	p.Y[0] = int32(h0)
+	p.Y[1] = int32(h1)
+	p.Y[2] = int32(h2)
+	p.Y[3] = int32(h3)
+	p.Y[4] = int32(h4)
+	p.Y[5] = int32(h5)
+	p.Y[6] = int32(h6)
+	p.Y[7] = int32(h7)
+	p.Y[8] = int32(h8)
+	p.Y[9] = int32(h9)
+
+	FeOne(&p.Z)
+	FeSquare(&u, &p.Y)
+	FeMul(&v, &u, &d)
+	FeSub(&u, &u, &p.Z) // y = y^2-1
+	FeAdd(&v, &v, &p.Z) // v = dy^2+1
+
+	FeDivPowm1(&p.X, &u, &v) // x = uv^3(uv^7)^((q-5)/8)
+
+	FeSquare(&vxx, &p.X)
+	FeMul(&vxx, &vxx, &v)   // v3 = v^3
+	FeSub(&check, &vxx, &u) // vx^2-u
+	if FeIsNonZeroV1(&check) != 0 {
+		FeAdd(&check, &vxx, &u) // vx^2+u
+		if FeIsNonZeroV1(&check) != 0 {
+			return false
+		}
+		FeMul(&p.X, &p.X, &SqrtM1)
+	}
+	if FeIsNegativeV1(&p.X) != (s[31] >> 7) {
+		if FeIsNonZeroV1(&p.X) == 0 {
+			return false
+		}
+		FeNeg(&p.X, &p.X)
+	}
+	FeMul(&p.T, &p.X, &p.Y)
+	return true
+}
+
+//GeDsmPrecomp ...
+func GeDsmPrecomp(r *DsmPreCompGroupElement, s *ExtendedGroupElement) {
+	var t CompletedGroupElement
+	var s2, u ExtendedGroupElement
+	s.ToCached(&r[0])
+	s.Double(&t)
+	t.ToExtended(&s2)
+
+	for i := 0; i < 7; i++ {
+		GeAdd(&t, &s2, &r[i])
+		t.ToExtended(&u)
+		u.ToCached(&r[i+1])
+	}
+}

crypto/gm/sm2.go

@@ -45,17 +45,17 @@ func parsePubKey(pubKeyStr []byte) (key *sm2.PublicKey) {
 	return sm2.Decompress(pubKeyStr)
 }
 
+//SerializePublicKey 公钥序列化
+func serializePublicKey(p *sm2.PublicKey) []byte {
+	return sm2.Compress(p)
+}
+
 //SerializePrivateKey 私钥序列化
 func serializePrivateKey(p *sm2.PrivateKey) []byte {
 	b := make([]byte, 0, SM2PrivateKeyLength)
 	return paddedAppend(SM2PrivateKeyLength, b, p.D.Bytes())
 }
 
-//SerializePublicKey 公钥序列化
-func serializePublicKey(p *sm2.PublicKey) []byte {
-	return sm2.Compress(p)
-}
-
 func paddedAppend(size uint, dst, src []byte) []byte {
 	for i := 0; i < int(size)-len(src); i++ {
 		dst = append(dst, 0)

crypto/sha3/doc.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Package sha3 implements the SHA-3 fixed-output-length hash functions and
+// the SHAKE variable-output-length hash functions defined by FIPS-202.
+//
+// Both types of hash function use the "sponge" construction and the Keccak
+// permutation. For a detailed specification see http://keccak.noekeon.org/
+//
+//
+// Guidance
+//
+// If you aren't sure what function you need, use SHAKE256 with at least 64
+// bytes of output. The SHAKE instances are faster than the SHA3 instances;
+// the latter have to allocate memory to conform to the hash.Hash interface.
+//
+// If you need a secret-key MAC (message authentication code), prepend the
+// secret key to the input, hash with SHAKE256 and read at least 32 bytes of
+// output.
+//
+//
+// Security strengths
+//
+// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security
+// strength against preimage attacks of x bits. Since they only produce "x"
+// bits of output, their collision-resistance is only "x/2" bits.
+//
+// The SHAKE-256 and -128 functions have a generic security strength of 256 and
+// 128 bits against all attacks, provided that at least 2x bits of their output
+// is used.  Requesting more than 64 or 32 bytes of output, respectively, does
+// not increase the collision-resistance of the SHAKE functions.
+//
+//
+// The sponge construction
+//
+// A sponge builds a pseudo-random function from a public pseudo-random
+// permutation, by applying the permutation to a state of "rate + capacity"
+// bytes, but hiding "capacity" of the bytes.
+//
+// A sponge starts out with a zero state. To hash an input using a sponge, up
+// to "rate" bytes of the input are XORed into the sponge's state. The sponge
+// is then "full" and the permutation is applied to "empty" it. This process is
+// repeated until all the input has been "absorbed". The input is then padded.
+// The digest is "squeezed" from the sponge in the same way, except that output
+// output is copied out instead of input being XORed in.
+//
+// A sponge is parameterized by its generic security strength, which is equal
+// to half its capacity; capacity + rate is equal to the permutation's width.
+// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means
+// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2.
+//
+//
+// Recommendations
+//
+// The SHAKE functions are recommended for most new uses. They can produce
+// output of arbitrary length. SHAKE256, with an output length of at least
+// 64 bytes, provides 256-bit security against all attacks.  The Keccak team
+// recommends it for most applications upgrading from SHA2-512. (NIST chose a
+// much stronger, but much slower, sponge instance for SHA3-512.)
+//
+// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions.
+// They produce output of the same length, with the same security strengths
+// against all attacks. This means, in particular, that SHA3-256 only has
+// 128-bit collision resistance, because its output length is 32 bytes.
+package sha3

crypto/sha3/hashes.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sha3
+
+// This file provides functions for creating instances of the SHA-3
+// and SHAKE hash functions, as well as utility functions for hashing
+// bytes.
+
+import (
+	"hash"
+)
+
+// NewKeccak256 creates a new Keccak-256 hash.
+func NewKeccak256() hash.Hash { return &state{rate: 136, outputLen: 32, dsbyte: 0x01} }
+
+// NewKeccak512 creates a new Keccak-512 hash.
+func NewKeccak512() hash.Hash { return &state{rate: 72, outputLen: 64, dsbyte: 0x01} }
+
+// New224 creates a new SHA3-224 hash.
+// Its generic security strength is 224 bits against preimage attacks,
+// and 112 bits against collision attacks.
+func New224() hash.Hash { return &state{rate: 144, outputLen: 28, dsbyte: 0x06} }
+
+// New256 creates a new SHA3-256 hash.
+// Its generic security strength is 256 bits against preimage attacks,
+// and 128 bits against collision attacks.
+func New256() hash.Hash { return &state{rate: 136, outputLen: 32, dsbyte: 0x06} }
+
+// New384 creates a new SHA3-384 hash.
+// Its generic security strength is 384 bits against preimage attacks,
+// and 192 bits against collision attacks.
+func New384() hash.Hash { return &state{rate: 104, outputLen: 48, dsbyte: 0x06} }
+
+// New512 creates a new SHA3-512 hash.
+// Its generic security strength is 512 bits against preimage attacks,
+// and 256 bits against collision attacks.
+func New512() hash.Hash { return &state{rate: 72, outputLen: 64, dsbyte: 0x06} }
+
+// NewLegacyKeccak256 creates a new Keccak-256 hash.
+//
+// Only use this function if you require compatibility with an existing cryptosystem
+// that uses non-standard padding. All other users should use New256 instead.
+func NewLegacyKeccak256() hash.Hash { return &state{rate: 136, outputLen: 32, dsbyte: 0x01} }
+
+// Sum224 returns the SHA3-224 digest of the data.
+func Sum224(data []byte) (digest [28]byte) {
+	h := New224()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}
+
+// Sum256 returns the SHA3-256 digest of the data.
+func Sum256(data []byte) (digest [32]byte) {
+	h := New256()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}
+
+// Sum384 returns the SHA3-384 digest of the data.
+func Sum384(data []byte) (digest [48]byte) {
+	h := New384()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}
+
+// Sum512 returns the SHA3-512 digest of the data.
+func Sum512(data []byte) (digest [64]byte) {
+	h := New512()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}
+
+// KeccakSum256 returns the Keccak-256 digest of the data.
+func KeccakSum256(data []byte) (digest [32]byte) {
+	h := NewKeccak256()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}
+
+// KeccakSum512 returns the Keccak-512 digest of the data.
+func KeccakSum512(data []byte) (digest [32]byte) {
+	h := NewKeccak512()
+	h.Write(data)
+	h.Sum(digest[:0])
+	return
+}

crypto/sha3/keccakf.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+//  +build !amd64 appengine gccgo
+
+package sha3
+
+// rc stores the round constants for use in the ι step.
+var rc = [24]uint64{
+	0x0000000000000001,
+	0x0000000000008082,
+	0x800000000000808A,
+	0x8000000080008000,
+	0x000000000000808B,
+	0x0000000080000001,
+	0x8000000080008081,
+	0x8000000000008009,
+	0x000000000000008A,
+	0x0000000000000088,
+	0x0000000080008009,
+	0x000000008000000A,
+	0x000000008000808B,
+	0x800000000000008B,
+	0x8000000000008089,
+	0x8000000000008003,
+	0x8000000000008002,
+	0x8000000000000080,
+	0x000000000000800A,
+	0x800000008000000A,
+	0x8000000080008081,
+	0x8000000000008080,
+	0x0000000080000001,
+	0x8000000080008008,
+}
+
+// keccakF1600 applies the Keccak permutation to a 1600b-wide
+// state represented as a slice of 25 uint64s.
+func keccakF1600(a *[25]uint64) {
+	// Implementation translated from Keccak-inplace.c
+	// in the keccak reference code.
+	var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64
+
+	for i := 0; i < 24; i += 4 {
+		// Combines the 5 steps in each round into 2 steps.
+		// Unrolls 4 rounds per loop and spreads some steps across rounds.
+
+		// Round 1
+		bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
+		bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
+		bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
+		bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
+		bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
+		d0 = bc4 ^ (bc1<<1 | bc1>>63)
+		d1 = bc0 ^ (bc2<<1 | bc2>>63)
+		d2 = bc1 ^ (bc3<<1 | bc3>>63)
+		d3 = bc2 ^ (bc4<<1 | bc4>>63)
+		d4 = bc3 ^ (bc0<<1 | bc0>>63)
+
+		bc0 = a[0] ^ d0
+		t = a[6] ^ d1
+		bc1 = t<<44 | t>>(64-44)
+		t = a[12] ^ d2
+		bc2 = t<<43 | t>>(64-43)
+		t = a[18] ^ d3
+		bc3 = t<<21 | t>>(64-21)
+		t = a[24] ^ d4
+		bc4 = t<<14 | t>>(64-14)
+		a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i]
+		a[6] = bc1 ^ (bc3 &^ bc2)
+		a[12] = bc2 ^ (bc4 &^ bc3)
+		a[18] = bc3 ^ (bc0 &^ bc4)
+		a[24] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[10] ^ d0
+		bc2 = t<<3 | t>>(64-3)
+		t = a[16] ^ d1
+		bc3 = t<<45 | t>>(64-45)
+		t = a[22] ^ d2
+		bc4 = t<<61 | t>>(64-61)
+		t = a[3] ^ d3
+		bc0 = t<<28 | t>>(64-28)
+		t = a[9] ^ d4
+		bc1 = t<<20 | t>>(64-20)
+		a[10] = bc0 ^ (bc2 &^ bc1)
+		a[16] = bc1 ^ (bc3 &^ bc2)
+		a[22] = bc2 ^ (bc4 &^ bc3)
+		a[3] = bc3 ^ (bc0 &^ bc4)
+		a[9] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[20] ^ d0
+		bc4 = t<<18 | t>>(64-18)
+		t = a[1] ^ d1
+		bc0 = t<<1 | t>>(64-1)
+		t = a[7] ^ d2
+		bc1 = t<<6 | t>>(64-6)
+		t = a[13] ^ d3
+		bc2 = t<<25 | t>>(64-25)
+		t = a[19] ^ d4
+		bc3 = t<<8 | t>>(64-8)
+		a[20] = bc0 ^ (bc2 &^ bc1)
+		a[1] = bc1 ^ (bc3 &^ bc2)
+		a[7] = bc2 ^ (bc4 &^ bc3)
+		a[13] = bc3 ^ (bc0 &^ bc4)
+		a[19] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[5] ^ d0
+		bc1 = t<<36 | t>>(64-36)
+		t = a[11] ^ d1
+		bc2 = t<<10 | t>>(64-10)
+		t = a[17] ^ d2
+		bc3 = t<<15 | t>>(64-15)
+		t = a[23] ^ d3
+		bc4 = t<<56 | t>>(64-56)
+		t = a[4] ^ d4
+		bc0 = t<<27 | t>>(64-27)
+		a[5] = bc0 ^ (bc2 &^ bc1)
+		a[11] = bc1 ^ (bc3 &^ bc2)
+		a[17] = bc2 ^ (bc4 &^ bc3)
+		a[23] = bc3 ^ (bc0 &^ bc4)
+		a[4] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[15] ^ d0
+		bc3 = t<<41 | t>>(64-41)
+		t = a[21] ^ d1
+		bc4 = t<<2 | t>>(64-2)
+		t = a[2] ^ d2
+		bc0 = t<<62 | t>>(64-62)
+		t = a[8] ^ d3
+		bc1 = t<<55 | t>>(64-55)
+		t = a[14] ^ d4
+		bc2 = t<<39 | t>>(64-39)
+		a[15] = bc0 ^ (bc2 &^ bc1)
+		a[21] = bc1 ^ (bc3 &^ bc2)
+		a[2] = bc2 ^ (bc4 &^ bc3)
+		a[8] = bc3 ^ (bc0 &^ bc4)
+		a[14] = bc4 ^ (bc1 &^ bc0)
+
+		// Round 2
+		bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
+		bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
+		bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
+		bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
+		bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
+		d0 = bc4 ^ (bc1<<1 | bc1>>63)
+		d1 = bc0 ^ (bc2<<1 | bc2>>63)
+		d2 = bc1 ^ (bc3<<1 | bc3>>63)
+		d3 = bc2 ^ (bc4<<1 | bc4>>63)
+		d4 = bc3 ^ (bc0<<1 | bc0>>63)
+
+		bc0 = a[0] ^ d0
+		t = a[16] ^ d1
+		bc1 = t<<44 | t>>(64-44)
+		t = a[7] ^ d2
+		bc2 = t<<43 | t>>(64-43)
+		t = a[23] ^ d3
+		bc3 = t<<21 | t>>(64-21)
+		t = a[14] ^ d4
+		bc4 = t<<14 | t>>(64-14)
+		a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+1]
+		a[16] = bc1 ^ (bc3 &^ bc2)
+		a[7] = bc2 ^ (bc4 &^ bc3)
+		a[23] = bc3 ^ (bc0 &^ bc4)
+		a[14] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[20] ^ d0
+		bc2 = t<<3 | t>>(64-3)
+		t = a[11] ^ d1
+		bc3 = t<<45 | t>>(64-45)
+		t = a[2] ^ d2
+		bc4 = t<<61 | t>>(64-61)
+		t = a[18] ^ d3
+		bc0 = t<<28 | t>>(64-28)
+		t = a[9] ^ d4
+		bc1 = t<<20 | t>>(64-20)
+		a[20] = bc0 ^ (bc2 &^ bc1)
+		a[11] = bc1 ^ (bc3 &^ bc2)
+		a[2] = bc2 ^ (bc4 &^ bc3)
+		a[18] = bc3 ^ (bc0 &^ bc4)
+		a[9] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[15] ^ d0
+		bc4 = t<<18 | t>>(64-18)
+		t = a[6] ^ d1
+		bc0 = t<<1 | t>>(64-1)
+		t = a[22] ^ d2
+		bc1 = t<<6 | t>>(64-6)
+		t = a[13] ^ d3
+		bc2 = t<<25 | t>>(64-25)
+		t = a[4] ^ d4
+		bc3 = t<<8 | t>>(64-8)
+		a[15] = bc0 ^ (bc2 &^ bc1)
+		a[6] = bc1 ^ (bc3 &^ bc2)
+		a[22] = bc2 ^ (bc4 &^ bc3)
+		a[13] = bc3 ^ (bc0 &^ bc4)
+		a[4] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[10] ^ d0
+		bc1 = t<<36 | t>>(64-36)
+		t = a[1] ^ d1
+		bc2 = t<<10 | t>>(64-10)
+		t = a[17] ^ d2
+		bc3 = t<<15 | t>>(64-15)
+		t = a[8] ^ d3
+		bc4 = t<<56 | t>>(64-56)
+		t = a[24] ^ d4
+		bc0 = t<<27 | t>>(64-27)
+		a[10] = bc0 ^ (bc2 &^ bc1)
+		a[1] = bc1 ^ (bc3 &^ bc2)
+		a[17] = bc2 ^ (bc4 &^ bc3)
+		a[8] = bc3 ^ (bc0 &^ bc4)
+		a[24] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[5] ^ d0
+		bc3 = t<<41 | t>>(64-41)
+		t = a[21] ^ d1
+		bc4 = t<<2 | t>>(64-2)
+		t = a[12] ^ d2
+		bc0 = t<<62 | t>>(64-62)
+		t = a[3] ^ d3
+		bc1 = t<<55 | t>>(64-55)
+		t = a[19] ^ d4
+		bc2 = t<<39 | t>>(64-39)
+		a[5] = bc0 ^ (bc2 &^ bc1)
+		a[21] = bc1 ^ (bc3 &^ bc2)
+		a[12] = bc2 ^ (bc4 &^ bc3)
+		a[3] = bc3 ^ (bc0 &^ bc4)
+		a[19] = bc4 ^ (bc1 &^ bc0)
+
+		// Round 3
+		bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
+		bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
+		bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
+		bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
+		bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
+		d0 = bc4 ^ (bc1<<1 | bc1>>63)
+		d1 = bc0 ^ (bc2<<1 | bc2>>63)
+		d2 = bc1 ^ (bc3<<1 | bc3>>63)
+		d3 = bc2 ^ (bc4<<1 | bc4>>63)
+		d4 = bc3 ^ (bc0<<1 | bc0>>63)
+
+		bc0 = a[0] ^ d0
+		t = a[11] ^ d1
+		bc1 = t<<44 | t>>(64-44)
+		t = a[22] ^ d2
+		bc2 = t<<43 | t>>(64-43)
+		t = a[8] ^ d3
+		bc3 = t<<21 | t>>(64-21)
+		t = a[19] ^ d4
+		bc4 = t<<14 | t>>(64-14)
+		a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+2]
+		a[11] = bc1 ^ (bc3 &^ bc2)
+		a[22] = bc2 ^ (bc4 &^ bc3)
+		a[8] = bc3 ^ (bc0 &^ bc4)
+		a[19] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[15] ^ d0
+		bc2 = t<<3 | t>>(64-3)
+		t = a[1] ^ d1
+		bc3 = t<<45 | t>>(64-45)
+		t = a[12] ^ d2
+		bc4 = t<<61 | t>>(64-61)
+		t = a[23] ^ d3
+		bc0 = t<<28 | t>>(64-28)
+		t = a[9] ^ d4
+		bc1 = t<<20 | t>>(64-20)
+		a[15] = bc0 ^ (bc2 &^ bc1)
+		a[1] = bc1 ^ (bc3 &^ bc2)
+		a[12] = bc2 ^ (bc4 &^ bc3)
+		a[23] = bc3 ^ (bc0 &^ bc4)
+		a[9] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[5] ^ d0
+		bc4 = t<<18 | t>>(64-18)
+		t = a[16] ^ d1
+		bc0 = t<<1 | t>>(64-1)
+		t = a[2] ^ d2
+		bc1 = t<<6 | t>>(64-6)
+		t = a[13] ^ d3
+		bc2 = t<<25 | t>>(64-25)
+		t = a[24] ^ d4
+		bc3 = t<<8 | t>>(64-8)
+		a[5] = bc0 ^ (bc2 &^ bc1)
+		a[16] = bc1 ^ (bc3 &^ bc2)
+		a[2] = bc2 ^ (bc4 &^ bc3)
+		a[13] = bc3 ^ (bc0 &^ bc4)
+		a[24] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[20] ^ d0
+		bc1 = t<<36 | t>>(64-36)
+		t = a[6] ^ d1
+		bc2 = t<<10 | t>>(64-10)
+		t = a[17] ^ d2
+		bc3 = t<<15 | t>>(64-15)
+		t = a[3] ^ d3
+		bc4 = t<<56 | t>>(64-56)
+		t = a[14] ^ d4
+		bc0 = t<<27 | t>>(64-27)
+		a[20] = bc0 ^ (bc2 &^ bc1)
+		a[6] = bc1 ^ (bc3 &^ bc2)
+		a[17] = bc2 ^ (bc4 &^ bc3)
+		a[3] = bc3 ^ (bc0 &^ bc4)
+		a[14] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[10] ^ d0
+		bc3 = t<<41 | t>>(64-41)
+		t = a[21] ^ d1
+		bc4 = t<<2 | t>>(64-2)
+		t = a[7] ^ d2
+		bc0 = t<<62 | t>>(64-62)
+		t = a[18] ^ d3
+		bc1 = t<<55 | t>>(64-55)
+		t = a[4] ^ d4
+		bc2 = t<<39 | t>>(64-39)
+		a[10] = bc0 ^ (bc2 &^ bc1)
+		a[21] = bc1 ^ (bc3 &^ bc2)
+		a[7] = bc2 ^ (bc4 &^ bc3)
+		a[18] = bc3 ^ (bc0 &^ bc4)
+		a[4] = bc4 ^ (bc1 &^ bc0)
+
+		// Round 4
+		bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20]
+		bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21]
+		bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22]
+		bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23]
+		bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24]
+		d0 = bc4 ^ (bc1<<1 | bc1>>63)
+		d1 = bc0 ^ (bc2<<1 | bc2>>63)
+		d2 = bc1 ^ (bc3<<1 | bc3>>63)
+		d3 = bc2 ^ (bc4<<1 | bc4>>63)
+		d4 = bc3 ^ (bc0<<1 | bc0>>63)
+
+		bc0 = a[0] ^ d0
+		t = a[1] ^ d1
+		bc1 = t<<44 | t>>(64-44)
+		t = a[2] ^ d2
+		bc2 = t<<43 | t>>(64-43)
+		t = a[3] ^ d3
+		bc3 = t<<21 | t>>(64-21)
+		t = a[4] ^ d4
+		bc4 = t<<14 | t>>(64-14)
+		a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+3]
+		a[1] = bc1 ^ (bc3 &^ bc2)
+		a[2] = bc2 ^ (bc4 &^ bc3)
+		a[3] = bc3 ^ (bc0 &^ bc4)
+		a[4] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[5] ^ d0
+		bc2 = t<<3 | t>>(64-3)
+		t = a[6] ^ d1
+		bc3 = t<<45 | t>>(64-45)
+		t = a[7] ^ d2
+		bc4 = t<<61 | t>>(64-61)
+		t = a[8] ^ d3
+		bc0 = t<<28 | t>>(64-28)
+		t = a[9] ^ d4
+		bc1 = t<<20 | t>>(64-20)
+		a[5] = bc0 ^ (bc2 &^ bc1)
+		a[6] = bc1 ^ (bc3 &^ bc2)
+		a[7] = bc2 ^ (bc4 &^ bc3)
+		a[8] = bc3 ^ (bc0 &^ bc4)
+		a[9] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[10] ^ d0
+		bc4 = t<<18 | t>>(64-18)
+		t = a[11] ^ d1
+		bc0 = t<<1 | t>>(64-1)
+		t = a[12] ^ d2
+		bc1 = t<<6 | t>>(64-6)
+		t = a[13] ^ d3
+		bc2 = t<<25 | t>>(64-25)
+		t = a[14] ^ d4
+		bc3 = t<<8 | t>>(64-8)
+		a[10] = bc0 ^ (bc2 &^ bc1)
+		a[11] = bc1 ^ (bc3 &^ bc2)
+		a[12] = bc2 ^ (bc4 &^ bc3)
+		a[13] = bc3 ^ (bc0 &^ bc4)
+		a[14] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[15] ^ d0
+		bc1 = t<<36 | t>>(64-36)
+		t = a[16] ^ d1
+		bc2 = t<<10 | t>>(64-10)
+		t = a[17] ^ d2
+		bc3 = t<<15 | t>>(64-15)
+		t = a[18] ^ d3
+		bc4 = t<<56 | t>>(64-56)
+		t = a[19] ^ d4
+		bc0 = t<<27 | t>>(64-27)
+		a[15] = bc0 ^ (bc2 &^ bc1)
+		a[16] = bc1 ^ (bc3 &^ bc2)
+		a[17] = bc2 ^ (bc4 &^ bc3)
+		a[18] = bc3 ^ (bc0 &^ bc4)
+		a[19] = bc4 ^ (bc1 &^ bc0)
+
+		t = a[20] ^ d0
+		bc3 = t<<41 | t>>(64-41)
+		t = a[21] ^ d1
+		bc4 = t<<2 | t>>(64-2)
+		t = a[22] ^ d2
+		bc0 = t<<62 | t>>(64-62)
+		t = a[23] ^ d3
+		bc1 = t<<55 | t>>(64-55)
+		t = a[24] ^ d4
+		bc2 = t<<39 | t>>(64-39)
+		a[20] = bc0 ^ (bc2 &^ bc1)
+		a[21] = bc1 ^ (bc3 &^ bc2)
+		a[22] = bc2 ^ (bc4 &^ bc3)
+		a[23] = bc3 ^ (bc0 &^ bc4)
+		a[24] = bc4 ^ (bc1 &^ bc0)
+	}
+}

crypto/sha3/keccakf_amd64.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build amd64,!appengine,!gccgo
+
+package sha3
+
+// This function is implemented in keccakf_amd64.s.
+
+//go:noescape
+
+func keccakF1600(a *[25]uint64)

crypto/sha3/keccakf_amd64.s

+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build amd64,!appengine,!gccgo
+
+// This code was translated into a form compatible with 6a from the public
+// domain sources at https://github.com/gvanas/KeccakCodePackage
+
+// Offsets in state
+#define _ba  (0*8)
+#define _be  (1*8)
+#define _bi  (2*8)
+#define _bo  (3*8)
+#define _bu  (4*8)
+#define _ga  (5*8)
+#define _ge  (6*8)
+#define _gi  (7*8)
+#define _go  (8*8)
+#define _gu  (9*8)
+#define _ka (10*8)
+#define _ke (11*8)
+#define _ki (12*8)
+#define _ko (13*8)
+#define _ku (14*8)
+#define _ma (15*8)
+#define _me (16*8)
+#define _mi (17*8)
+#define _mo (18*8)
+#define _mu (19*8)
+#define _sa (20*8)
+#define _se (21*8)
+#define _si (22*8)
+#define _so (23*8)
+#define _su (24*8)
+
+// Temporary registers
+#define rT1  AX
+
+// Round vars
+#define rpState DI
+#define rpStack SP
+
+#define rDa BX
+#define rDe CX
+#define rDi DX
+#define rDo R8
+#define rDu R9
+
+#define rBa R10
+#define rBe R11
+#define rBi R12
+#define rBo R13
+#define rBu R14
+
+#define rCa SI
+#define rCe BP
+#define rCi rBi
+#define rCo rBo
+#define rCu R15
+
+#define MOVQ_RBI_RCE MOVQ rBi, rCe
+#define XORQ_RT1_RCA XORQ rT1, rCa
+#define XORQ_RT1_RCE XORQ rT1, rCe
+#define XORQ_RBA_RCU XORQ rBa, rCu
+#define XORQ_RBE_RCU XORQ rBe, rCu
+#define XORQ_RDU_RCU XORQ rDu, rCu
+#define XORQ_RDA_RCA XORQ rDa, rCa
+#define XORQ_RDE_RCE XORQ rDe, rCe
+
+#define mKeccakRound(iState, oState, rc, B_RBI_RCE, G_RT1_RCA, G_RT1_RCE, G_RBA_RCU, K_RT1_RCA, K_RT1_RCE, K_RBA_RCU, M_RT1_RCA, M_RT1_RCE, M_RBE_RCU, S_RDU_RCU, S_RDA_RCA, S_RDE_RCE) \
+	/* Prepare round */    \
+	MOVQ rCe, rDa;         \
+	ROLQ $1, rDa;          \
+	                       \
+	MOVQ _bi(iState), rCi; \
+	XORQ _gi(iState), rDi; \
+	XORQ rCu, rDa;         \
+	XORQ _ki(iState), rCi; \
+	XORQ _mi(iState), rDi; \
+	XORQ rDi, rCi;         \
+	                       \
+	MOVQ rCi, rDe;         \
+	ROLQ $1, rDe;          \
+	                       \
+	MOVQ _bo(iState), rCo; \
+	XORQ _go(iState), rDo; \
+	XORQ rCa, rDe;         \
+	XORQ _ko(iState), rCo; \
+	XORQ _mo(iState), rDo; \
+	XORQ rDo, rCo;         \
+	                       \
+	MOVQ rCo, rDi;         \
+	ROLQ $1, rDi;          \
+	                       \
+	MOVQ rCu, rDo;         \
+	XORQ rCe, rDi;         \
+	ROLQ $1, rDo;          \
+	                       \
+	MOVQ rCa, rDu;         \
+	XORQ rCi, rDo;         \
+	ROLQ $1, rDu;          \
+	                       \
+	/* Result b */         \
+	MOVQ _ba(iState), rBa; \
+	MOVQ _ge(iState), rBe; \
+	XORQ rCo, rDu;         \
+	MOVQ _ki(iState), rBi; \
+	MOVQ _mo(iState), rBo; \
+	MOVQ _su(iState), rBu; \
+	XORQ rDe, rBe;         \
+	ROLQ $44, rBe;         \
+	XORQ rDi, rBi;         \
+	XORQ rDa, rBa;         \
+	ROLQ $43, rBi;         \
+	                       \
+	MOVQ rBe, rCa;         \
+	MOVQ rc, rT1;          \
+	ORQ  rBi, rCa;         \
+	XORQ rBa, rT1;         \
+	XORQ rT1, rCa;         \
+	MOVQ rCa, _ba(oState); \
+	                       \
+	XORQ rDu, rBu;         \
+	ROLQ $14, rBu;         \
+	MOVQ rBa, rCu;         \
+	ANDQ rBe, rCu;         \
+	XORQ rBu, rCu;         \
+	MOVQ rCu, _bu(oState); \
+	                       \
+	XORQ rDo, rBo;         \
+	ROLQ $21, rBo;         \
+	MOVQ rBo, rT1;         \
+	ANDQ rBu, rT1;         \
+	XORQ rBi, rT1;         \
+	MOVQ rT1, _bi(oState); \
+	                       \
+	NOTQ rBi;              \
+	ORQ  rBa, rBu;         \
+	ORQ  rBo, rBi;         \
+	XORQ rBo, rBu;         \
+	XORQ rBe, rBi;         \
+	MOVQ rBu, _bo(oState); \
+	MOVQ rBi, _be(oState); \
+	B_RBI_RCE;             \
+	                       \
+	/* Result g */         \
+	MOVQ _gu(iState), rBe; \
+	XORQ rDu, rBe;         \
+	MOVQ _ka(iState), rBi; \
+	ROLQ $20, rBe;         \
+	XORQ rDa, rBi;         \
+	ROLQ $3, rBi;          \
+	MOVQ _bo(iState), rBa; \
+	MOVQ rBe, rT1;         \
+	ORQ  rBi, rT1;         \
+	XORQ rDo, rBa;         \
+	MOVQ _me(iState), rBo; \
+	MOVQ _si(iState), rBu; \
+	ROLQ $28, rBa;         \
+	XORQ rBa, rT1;         \
+	MOVQ rT1, _ga(oState); \
+	G_RT1_RCA;             \
+	                       \
+	XORQ rDe, rBo;         \
+	ROLQ $45, rBo;         \
+	MOVQ rBi, rT1;         \
+	ANDQ rBo, rT1;         \
+	XORQ rBe, rT1;         \
+	MOVQ rT1, _ge(oState); \
+	G_RT1_RCE;             \
+	                       \
+	XORQ rDi, rBu;         \
+	ROLQ $61, rBu;         \
+	MOVQ rBu, rT1;         \
+	ORQ  rBa, rT1;         \
+	XORQ rBo, rT1;         \
+	MOVQ rT1, _go(oState); \
+	                       \
+	ANDQ rBe, rBa;         \
+	XORQ rBu, rBa;         \
+	MOVQ rBa, _gu(oState); \
+	NOTQ rBu;              \
+	G_RBA_RCU;             \
+	                       \
+	ORQ  rBu, rBo;         \
+	XORQ rBi, rBo;         \
+	MOVQ rBo, _gi(oState); \
+	                       \
+	/* Result k */         \
+	MOVQ _be(iState), rBa; \
+	MOVQ _gi(iState), rBe; \
+	MOVQ _ko(iState), rBi; \
+	MOVQ _mu(iState), rBo; \
+	MOVQ _sa(iState), rBu; \
+	XORQ rDi, rBe;         \
+	ROLQ $6, rBe;          \
+	XORQ rDo, rBi;         \
+	ROLQ $25, rBi;         \
+	MOVQ rBe, rT1;         \
+	ORQ  rBi, rT1;         \
+	XORQ rDe, rBa;         \
+	ROLQ $1, rBa;          \
+	XORQ rBa, rT1;         \
+	MOVQ rT1, _ka(oState); \
+	K_RT1_RCA;             \
+	                       \
+	XORQ rDu, rBo;         \
+	ROLQ $8, rBo;          \
+	MOVQ rBi, rT1;         \
+	ANDQ rBo, rT1;         \
+	XORQ rBe, rT1;         \
+	MOVQ rT1, _ke(oState); \
+	K_RT1_RCE;             \
+	                       \
+	XORQ rDa, rBu;         \
+	ROLQ $18, rBu;         \
+	NOTQ rBo;              \
+	MOVQ rBo, rT1;         \
+	ANDQ rBu, rT1;         \
+	XORQ rBi, rT1;         \
+	MOVQ rT1, _ki(oState); \
+	                       \
+	MOVQ rBu, rT1;         \
+	ORQ  rBa, rT1;         \
+	XORQ rBo, rT1;         \
+	MOVQ rT1, _ko(oState); \
+	                       \
+	ANDQ rBe, rBa;         \
+	XORQ rBu, rBa;         \
+	MOVQ rBa, _ku(oState); \
+	K_RBA_RCU;             \
+	                       \
+	/* Result m */         \
+	MOVQ _ga(iState), rBe; \
+	XORQ rDa, rBe;         \
+	MOVQ _ke(iState), rBi; \
+	ROLQ $36, rBe;         \
+	XORQ rDe, rBi;         \
+	MOVQ _bu(iState), rBa; \
+	ROLQ $10, rBi;         \
+	MOVQ rBe, rT1;         \
+	MOVQ _mi(iState), rBo; \
+	ANDQ rBi, rT1;         \
+	XORQ rDu, rBa;         \
+	MOVQ _so(iState), rBu; \
+	ROLQ $27, rBa;         \
+	XORQ rBa, rT1;         \
+	MOVQ rT1, _ma(oState); \
+	M_RT1_RCA;             \
+	                       \
+	XORQ rDi, rBo;         \
+	ROLQ $15, rBo;         \
+	MOVQ rBi, rT1;         \
+	ORQ  rBo, rT1;         \
+	XORQ rBe, rT1;         \
+	MOVQ rT1, _me(oState); \
+	M_RT1_RCE;             \
+	                       \
+	XORQ rDo, rBu;         \
+	ROLQ $56, rBu;         \
+	NOTQ rBo;              \
+	MOVQ rBo, rT1;         \
+	ORQ  rBu, rT1;         \
+	XORQ rBi, rT1;         \
+	MOVQ rT1, _mi(oState); \
+	                       \
+	ORQ  rBa, rBe;         \
+	XORQ rBu, rBe;         \
+	MOVQ rBe, _mu(oState); \
+	                       \
+	ANDQ rBa, rBu;         \
+	XORQ rBo, rBu;         \
+	MOVQ rBu, _mo(oState); \
+	M_RBE_RCU;             \
+	                       \
+	/* Result s */         \
+	MOVQ _bi(iState), rBa; \
+	MOVQ _go(iState), rBe; \
+	MOVQ _ku(iState), rBi; \
+	XORQ rDi, rBa;         \
+	MOVQ _ma(iState), rBo; \
+	ROLQ $62, rBa;         \
+	XORQ rDo, rBe;         \
+	MOVQ _se(iState), rBu; \
+	ROLQ $55, rBe;         \
+	                       \
+	XORQ rDu, rBi;         \
+	MOVQ rBa, rDu;         \
+	XORQ rDe, rBu;         \
+	ROLQ $2, rBu;          \
+	ANDQ rBe, rDu;         \
+	XORQ rBu, rDu;         \
+	MOVQ rDu, _su(oState); \
+	                       \
+	ROLQ $39, rBi;         \
+	S_RDU_RCU;             \
+	NOTQ rBe;              \
+	XORQ rDa, rBo;         \
+	MOVQ rBe, rDa;         \
+	ANDQ rBi, rDa;         \
+	XORQ rBa, rDa;         \
+	MOVQ rDa, _sa(oState); \
+	S_RDA_RCA;             \
+	                       \
+	ROLQ $41, rBo;         \
+	MOVQ rBi, rDe;         \
+	ORQ  rBo, rDe;         \
+	XORQ rBe, rDe;         \
+	MOVQ rDe, _se(oState); \
+	S_RDE_RCE;             \
+	                       \
+	MOVQ rBo, rDi;         \
+	MOVQ rBu, rDo;         \
+	ANDQ rBu, rDi;         \
+	ORQ  rBa, rDo;         \
+	XORQ rBi, rDi;         \
+	XORQ rBo, rDo;         \
+	MOVQ rDi, _si(oState); \
+	MOVQ rDo, _so(oState)  \
+
+// func keccakF1600(state *[25]uint64)
+TEXT ·keccakF1600(SB), 0, $200-8
+	MOVQ state+0(FP), rpState
+
+	// Convert the user state into an internal state
+	NOTQ _be(rpState)
+	NOTQ _bi(rpState)
+	NOTQ _go(rpState)
+	NOTQ _ki(rpState)
+	NOTQ _mi(rpState)
+	NOTQ _sa(rpState)
+
+	// Execute the KeccakF permutation
+	MOVQ _ba(rpState), rCa
+	MOVQ _be(rpState), rCe
+	MOVQ _bu(rpState), rCu
+
+	XORQ _ga(rpState), rCa
+	XORQ _ge(rpState), rCe
+	XORQ _gu(rpState), rCu
+
+	XORQ _ka(rpState), rCa
+	XORQ _ke(rpState), rCe
+	XORQ _ku(rpState), rCu
+
+	XORQ _ma(rpState), rCa
+	XORQ _me(rpState), rCe
+	XORQ _mu(rpState), rCu
+
+	XORQ _sa(rpState), rCa
+	XORQ _se(rpState), rCe
+	MOVQ _si(rpState), rDi
+	MOVQ _so(rpState), rDo
+	XORQ _su(rpState), rCu
+
+	mKeccakRound(rpState, rpStack, $0x0000000000000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x0000000000008082, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x800000000000808a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000080008000, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x000000000000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000000008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x000000000000008a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x0000000000000088, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x0000000080008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x000000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x000000008000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x800000000000008b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x8000000000008089, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000000008003, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x8000000000008002, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000000000080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x000000000000800a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x800000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000000008080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpState, rpStack, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE)
+	mKeccakRound(rpStack, rpState, $0x8000000080008008, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP)
+
+	// Revert the internal state to the user state
+	NOTQ _be(rpState)
+	NOTQ _bi(rpState)
+	NOTQ _go(rpState)
+	NOTQ _ki(rpState)
+	NOTQ _mi(rpState)
+	NOTQ _sa(rpState)
+
+	RET

crypto/sha3/register.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build go1.4
+
+package sha3
+
+import (
+	"crypto"
+)
+
+func init() {
+	crypto.RegisterHash(crypto.SHA3_224, New224)
+	crypto.RegisterHash(crypto.SHA3_256, New256)
+	crypto.RegisterHash(crypto.SHA3_384, New384)
+	crypto.RegisterHash(crypto.SHA3_512, New512)
+}

crypto/sha3/sha3.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sha3
+
+// spongeDirection indicates the direction bytes are flowing through the sponge.
+type spongeDirection int
+
+const (
+	// spongeAbsorbing indicates that the sponge is absorbing input.
+	spongeAbsorbing spongeDirection = iota
+	// spongeSqueezing indicates that the sponge is being squeezed.
+	spongeSqueezing
+)
+
+const (
+	// maxRate is the maximum size of the internal buffer. SHAKE-256
+	// currently needs the largest buffer.
+	maxRate = 168
+)
+
+type state struct {
+	// Generic sponge components.
+	a    [25]uint64 // main state of the hash
+	buf  []byte     // points into storage
+	rate int        // the number of bytes of state to use
+
+	// dsbyte contains the "domain separation" bits and the first bit of
+	// the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the
+	// SHA-3 and SHAKE functions by appending bitstrings to the message.
+	// Using a little-endian bit-ordering convention, these are "01" for SHA-3
+	// and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the
+	// padding rule from section 5.1 is applied to pad the message to a multiple
+	// of the rate, which involves adding a "1" bit, zero or more "0" bits, and
+	// a final "1" bit. We merge the first "1" bit from the padding into dsbyte,
+	// giving 00000110b (0x06) and 00011111b (0x1f).
+	// [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf
+	//     "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and
+	//      Extendable-Output Functions (May 2014)"
+	dsbyte  byte
+	storage [maxRate]byte
+
+	// Specific to SHA-3 and SHAKE.
+	outputLen int             // the default output size in bytes
+	state     spongeDirection // whether the sponge is absorbing or squeezing
+}
+
+// BlockSize returns the rate of sponge underlying this hash function.
+func (d *state) BlockSize() int { return d.rate }
+
+// Size returns the output size of the hash function in bytes.
+func (d *state) Size() int { return d.outputLen }
+
+// Reset clears the internal state by zeroing the sponge state and
+// the byte buffer, and setting Sponge.state to absorbing.
+func (d *state) Reset() {
+	// Zero the permutation's state.
+	for i := range d.a {
+		d.a[i] = 0
+	}
+	d.state = spongeAbsorbing
+	d.buf = d.storage[:0]
+}
+
+func (d *state) clone() *state {
+	ret := *d
+	if ret.state == spongeAbsorbing {
+		ret.buf = ret.storage[:len(ret.buf)]
+	} else {
+		ret.buf = ret.storage[d.rate-cap(d.buf) : d.rate]
+	}
+
+	return &ret
+}
+
+// permute applies the KeccakF-1600 permutation. It handles
+// any input-output buffering.
+func (d *state) permute() {
+	switch d.state {
+	case spongeAbsorbing:
+		// If we're absorbing, we need to xor the input into the state
+		// before applying the permutation.
+		xorIn(d, d.buf)
+		d.buf = d.storage[:0]
+		keccakF1600(&d.a)
+	case spongeSqueezing:
+		// If we're squeezing, we need to apply the permutatin before
+		// copying more output.
+		keccakF1600(&d.a)
+		d.buf = d.storage[:d.rate]
+		copyOut(d, d.buf)
+	}
+}
+
+// pads appends the domain separation bits in dsbyte, applies
+// the multi-bitrate 10..1 padding rule, and permutes the state.
+func (d *state) padAndPermute(dsbyte byte) {
+	if d.buf == nil {
+		d.buf = d.storage[:0]
+	}
+	// Pad with this instance's domain-separator bits. We know that there's
+	// at least one byte of space in d.buf because, if it were full,
+	// permute would have been called to empty it. dsbyte also contains the
+	// first one bit for the padding. See the comment in the state struct.
+	d.buf = append(d.buf, dsbyte)
+	zerosStart := len(d.buf)
+	d.buf = d.storage[:d.rate]
+	for i := zerosStart; i < d.rate; i++ {
+		d.buf[i] = 0
+	}
+	// This adds the final one bit for the padding. Because of the way that
+	// bits are numbered from the LSB upwards, the final bit is the MSB of
+	// the last byte.
+	d.buf[d.rate-1] ^= 0x80
+	// Apply the permutation
+	d.permute()
+	d.state = spongeSqueezing
+	d.buf = d.storage[:d.rate]
+	copyOut(d, d.buf)
+}
+
+// Write absorbs more data into the hash's state. It produces an error
+// if more data is written to the ShakeHash after writing
+func (d *state) Write(p []byte) (written int, err error) {
+	if d.state != spongeAbsorbing {
+		panic("sha3: write to sponge after read")
+	}
+	if d.buf == nil {
+		d.buf = d.storage[:0]
+	}
+	written = len(p)
+
+	for len(p) > 0 {
+		if len(d.buf) == 0 && len(p) >= d.rate {
+			// The fast path; absorb a full "rate" bytes of input and apply the permutation.
+			xorIn(d, p[:d.rate])
+			p = p[d.rate:]
+			keccakF1600(&d.a)
+		} else {
+			// The slow path; buffer the input until we can fill the sponge, and then xor it in.
+			todo := d.rate - len(d.buf)
+			if todo > len(p) {
+				todo = len(p)
+			}
+			d.buf = append(d.buf, p[:todo]...)
+			p = p[todo:]
+
+			// If the sponge is full, apply the permutation.
+			if len(d.buf) == d.rate {
+				d.permute()
+			}
+		}
+	}
+
+	return
+}
+
+// Read squeezes an arbitrary number of bytes from the sponge.
+func (d *state) Read(out []byte) (n int, err error) {
+	// If we're still absorbing, pad and apply the permutation.
+	if d.state == spongeAbsorbing {
+		d.padAndPermute(d.dsbyte)
+	}
+
+	n = len(out)
+
+	// Now, do the squeezing.
+	for len(out) > 0 {
+		n := copy(out, d.buf)
+		d.buf = d.buf[n:]
+		out = out[n:]
+
+		// Apply the permutation if we've squeezed the sponge dry.
+		if len(d.buf) == 0 {
+			d.permute()
+		}
+	}
+
+	return
+}
+
+// Sum applies padding to the hash state and then squeezes out the desired
+// number of output bytes.
+func (d *state) Sum(in []byte) []byte {
+	// Make a copy of the original hash so that caller can keep writing
+	// and summing.
+	dup := d.clone()
+	hash := make([]byte, dup.outputLen)
+	dup.Read(hash)
+	return append(in, hash...)
+}

crypto/sha3/sha3_test.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sha3
+
+// Tests include all the ShortMsgKATs provided by the Keccak team at
+// https://github.com/gvanas/KeccakCodePackage
+//
+// They only include the zero-bit case of the bitwise testvectors
+// published by NIST in the draft of FIPS-202.
+
+import (
+	"bytes"
+	"compress/flate"
+	"encoding/hex"
+	"encoding/json"
+	"fmt"
+	"hash"
+	"os"
+	"strings"
+	"testing"
+
+	"github.com/stretchr/testify/assert"
+)
+
+const (
+	testString  = "brekeccakkeccak koax koax"
+	katFilename = "testdata/keccakKats.json.deflate"
+)
+
+// Internal-use instances of SHAKE used to test against KATs.
+func newHashShake128() hash.Hash {
+	return &state{rate: 168, dsbyte: 0x1f, outputLen: 512}
+}
+func newHashShake256() hash.Hash {
+	return &state{rate: 136, dsbyte: 0x1f, outputLen: 512}
+}
+
+// testDigests contains functions returning hash.Hash instances
+// with output-length equal to the KAT length for SHA-3, Keccak
+// and SHAKE instances.
+var testDigests = map[string]func() hash.Hash{
+	"SHA3-224":   New224,
+	"SHA3-256":   New256,
+	"SHA3-384":   New384,
+	"SHA3-512":   New512,
+	"Keccak-256": NewLegacyKeccak256,
+	"SHAKE128":   newHashShake128,
+	"SHAKE256":   newHashShake256,
+}
+
+// testShakes contains functions that return ShakeHash instances for
+// testing the ShakeHash-specific interface.
+var testShakes = map[string]func() ShakeHash{
+	"SHAKE128": NewShake128,
+	"SHAKE256": NewShake256,
+}
+
+// decodeHex converts a hex-encoded string into a raw byte string.
+func decodeHex(s string) []byte {
+	b, err := hex.DecodeString(s)
+	if err != nil {
+		panic(err)
+	}
+	return b
+}
+
+// structs used to marshal JSON test-cases.
+type KeccakKats struct {
+	Kats map[string][]struct {
+		Digest  string `json:"digest"`
+		Length  int64  `json:"length"`
+		Message string `json:"message"`
+	}
+}
+
+const xorImplementationUnaligned = "generic"
+
+func testUnalignedAndGeneric(t *testing.T, testf func(impl string)) {
+	xorInOrig, copyOutOrig := xorIn, copyOut
+	xorIn, copyOut = xorInGeneric, copyOutGeneric
+	testf("generic")
+	if xorImplementationUnaligned != "generic" {
+		xorIn, copyOut = xorInUnaligned, copyOutUnaligned
+		testf("unaligned")
+	}
+	xorIn, copyOut = xorInOrig, copyOutOrig
+}
+
+// TestKeccakKats tests the SHA-3 and Shake implementations against all the
+// ShortMsgKATs from https://github.com/gvanas/KeccakCodePackage
+// (The testvectors are stored in keccakKats.json.deflate due to their length.)
+func TestKeccakKats(t *testing.T) {
+	testUnalignedAndGeneric(t, func(impl string) {
+		// Read the KATs.
+		deflated, err := os.Open(katFilename)
+		if err != nil {
+			t.Errorf("error opening %s: %s", katFilename, err)
+		}
+		file := flate.NewReader(deflated)
+		dec := json.NewDecoder(file)
+		var katSet KeccakKats
+		err = dec.Decode(&katSet)
+		if err != nil {
+			t.Errorf("error decoding KATs: %s", err)
+		}
+
+		// Do the KATs.
+		for functionName, kats := range katSet.Kats {
+			d := testDigests[functionName]()
+			for _, kat := range kats {
+				d.Reset()
+				in, err := hex.DecodeString(kat.Message)
+				if err != nil {
+					t.Errorf("error decoding KAT: %s", err)
+				}
+				d.Write(in[:kat.Length/8])
+				got := strings.ToUpper(hex.EncodeToString(d.Sum(nil)))
+				if got != kat.Digest {
+					t.Errorf("function=%s, implementation=%s, length=%d\nmessage:\n  %s\ngot:\n  %s\nwanted:\n %s",
+						functionName, impl, kat.Length, kat.Message, got, kat.Digest)
+					t.Logf("wanted %+v", kat)
+					t.FailNow()
+				}
+				continue
+			}
+		}
+	})
+}
+
+// TestKeccak does a basic test of the non-standardized Keccak hash functions.
+func TestKeccak(t *testing.T) {
+	tests := []struct {
+		fn   func() hash.Hash
+		data []byte
+		want string
+	}{
+		{
+			NewLegacyKeccak256,
+			[]byte("abc"),
+			"4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45",
+		},
+	}
+
+	for _, u := range tests {
+		h := u.fn()
+		h.Write(u.data)
+		got := h.Sum(nil)
+		want := decodeHex(u.want)
+		if !bytes.Equal(got, want) {
+			t.Errorf("unexpected hash for size %d: got '%x' want '%s'", h.Size()*8, got, u.want)
+		}
+	}
+}
+
+// TestUnalignedWrite tests that writing data in an arbitrary pattern with
+// small input buffers.
+func TestUnalignedWrite(t *testing.T) {
+	testUnalignedAndGeneric(t, func(impl string) {
+		buf := sequentialBytes(0x10000)
+		for alg, df := range testDigests {
+			d := df()
+			d.Reset()
+			d.Write(buf)
+			want := d.Sum(nil)
+			d.Reset()
+			for i := 0; i < len(buf); {
+				// Cycle through offsets which make a 137 byte sequence.
+				// Because 137 is prime this sequence should exercise all corner cases.
+				offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1}
+				for _, j := range offsets {
+					if v := len(buf) - i; v < j {
+						j = v
+					}
+					d.Write(buf[i : i+j])
+					i += j
+				}
+			}
+			got := d.Sum(nil)
+			if !bytes.Equal(got, want) {
+				t.Errorf("Unaligned writes, implementation=%s, alg=%s\ngot %q, want %q", impl, alg, got, want)
+			}
+		}
+	})
+}
+
+// TestAppend checks that appending works when reallocation is necessary.
+func TestAppend(t *testing.T) {
+	testUnalignedAndGeneric(t, func(impl string) {
+		d := New224()
+
+		for capacity := 2; capacity <= 66; capacity += 64 {
+			// The first time around the loop, Sum will have to reallocate.
+			// The second time, it will not.
+			buf := make([]byte, 2, capacity)
+			d.Reset()
+			d.Write([]byte{0xcc})
+			buf = d.Sum(buf)
+			expected := "0000DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39"
+			if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected {
+				t.Errorf("got %s, want %s", got, expected)
+			}
+		}
+	})
+}
+
+// TestAppendNoRealloc tests that appending works when no reallocation is necessary.
+func TestAppendNoRealloc(t *testing.T) {
+	testUnalignedAndGeneric(t, func(impl string) {
+		buf := make([]byte, 1, 200)
+		d := New224()
+		d.Write([]byte{0xcc})
+		buf = d.Sum(buf)
+		expected := "00DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39"
+		if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected {
+			t.Errorf("%s: got %s, want %s", impl, got, expected)
+		}
+	})
+}
+
+// TestSqueezing checks that squeezing the full output a single time produces
+// the same output as repeatedly squeezing the instance.
+func TestSqueezing(t *testing.T) {
+	testUnalignedAndGeneric(t, func(impl string) {
+		for functionName, newShakeHash := range testShakes {
+			d0 := newShakeHash()
+			d0.Write([]byte(testString))
+			ref := make([]byte, 32)
+			d0.Read(ref)
+
+			d1 := newShakeHash()
+			d1.Write([]byte(testString))
+			var multiple []byte
+			for range ref {
+				one := make([]byte, 1)
+				d1.Read(one)
+				multiple = append(multiple, one...)
+			}
+			if !bytes.Equal(ref, multiple) {
+				t.Errorf("%s (%s): squeezing %d bytes one at a time failed", functionName, impl, len(ref))
+			}
+		}
+	})
+}
+
+// sequentialBytes produces a buffer of size consecutive bytes 0x00, 0x01, ..., used for testing.
+func sequentialBytes(size int) []byte {
+	result := make([]byte, size)
+	for i := range result {
+		result[i] = byte(i)
+	}
+	return result
+}
+
+// BenchmarkPermutationFunction measures the speed of the permutation function
+// with no input data.
+func BenchmarkPermutationFunction(b *testing.B) {
+	b.SetBytes(int64(200))
+	var lanes [25]uint64
+	for i := 0; i < b.N; i++ {
+		keccakF1600(&lanes)
+	}
+}
+
+// benchmarkHash tests the speed to hash num buffers of buflen each.
+func benchmarkHash(b *testing.B, h hash.Hash, size, num int) {
+	b.StopTimer()
+	h.Reset()
+	data := sequentialBytes(size)
+	b.SetBytes(int64(size * num))
+	b.StartTimer()
+
+	var state []byte
+	for i := 0; i < b.N; i++ {
+		for j := 0; j < num; j++ {
+			h.Write(data)
+		}
+		state = h.Sum(state[:0])
+	}
+	b.StopTimer()
+	h.Reset()
+}
+
+// benchmarkShake is specialized to the Shake instances, which don't
+// require a copy on reading output.
+func benchmarkShake(b *testing.B, h ShakeHash, size, num int) {
+	b.StopTimer()
+	h.Reset()
+	data := sequentialBytes(size)
+	d := make([]byte, 32)
+
+	b.SetBytes(int64(size * num))
+	b.StartTimer()
+
+	for i := 0; i < b.N; i++ {
+		h.Reset()
+		for j := 0; j < num; j++ {
+			h.Write(data)
+		}
+		h.Read(d)
+	}
+}
+
+func BenchmarkSha3_512_MTU(b *testing.B) { benchmarkHash(b, New512(), 1350, 1) }
+func BenchmarkSha3_384_MTU(b *testing.B) { benchmarkHash(b, New384(), 1350, 1) }
+func BenchmarkSha3_256_MTU(b *testing.B) { benchmarkHash(b, New256(), 1350, 1) }
+func BenchmarkSha3_224_MTU(b *testing.B) { benchmarkHash(b, New224(), 1350, 1) }
+
+func BenchmarkShake128_MTU(b *testing.B)  { benchmarkShake(b, NewShake128(), 1350, 1) }
+func BenchmarkShake256_MTU(b *testing.B)  { benchmarkShake(b, NewShake256(), 1350, 1) }
+func BenchmarkShake256_16x(b *testing.B)  { benchmarkShake(b, NewShake256(), 16, 1024) }
+func BenchmarkShake256_1MiB(b *testing.B) { benchmarkShake(b, NewShake256(), 1024, 1024) }
+
+func BenchmarkSha3_512_1MiB(b *testing.B) { benchmarkHash(b, New512(), 1024, 1024) }
+
+func Example_sum() {
+	buf := []byte("some data to hash")
+	// A hash needs to be 64 bytes long to have 256-bit collision resistance.
+	h := make([]byte, 64)
+	// Compute a 64-byte hash of buf and put it in h.
+	ShakeSum256(h, buf)
+	fmt.Printf("%x\n", h)
+	// Output: 0f65fe41fc353e52c55667bb9e2b27bfcc8476f2c413e9437d272ee3194a4e3146d05ec04a25d16b8f577c19b82d16b1424c3e022e783d2b4da98de3658d363d
+}
+
+func Example_mac() {
+	k := []byte("this is a secret key; you should generate a strong random key that's at least 32 bytes long")
+	buf := []byte("and this is some data to authenticate")
+	// A MAC with 32 bytes of output has 256-bit security strength -- if you use at least a 32-byte-long key.
+	h := make([]byte, 32)
+	d := NewShake256()
+	// Write the key into the hash.
+	d.Write(k)
+	// Now write the data.
+	d.Write(buf)
+	// Read 32 bytes of output from the hash into h.
+	d.Read(h)
+	fmt.Printf("%x\n", h)
+	// ProtoToJson: 78de2974bd2711d5549ffd32b753ef0f5fa80a0db2556db60f0987eb8a9218ff
+}
+
+func TestNew(t *testing.T) {
+	d28 := Sum224(nil)
+	assert.True(t, len(d28) == 28)
+
+	d32 := Sum256(nil)
+	assert.True(t, len(d32) == 32)
+
+	d48 := Sum384(nil)
+	assert.True(t, len(d48) == 48)
+
+	d64 := Sum512(nil)
+	assert.True(t, len(d64) == 64)
+
+	d32 = KeccakSum256(nil)
+	assert.True(t, len(d32) == 32)
+
+	d32 = KeccakSum512(nil)
+	assert.True(t, len(d32) == 32)
+}

crypto/sha3/shake.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2014 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sha3
+
+// This file defines the ShakeHash interface, and provides
+// functions for creating SHAKE instances, as well as utility
+// functions for hashing bytes to arbitrary-length output.
+
+import (
+	"io"
+)
+
+// ShakeHash defines the interface to hash functions that
+// support arbitrary-length output.
+type ShakeHash interface {
+	// Write absorbs more data into the hash's state. It panics if input is
+	// written to it after output has been read from it.
+	io.Writer
+
+	// Read reads more output from the hash; reading affects the hash's
+	// state. (ShakeHash.Read is thus very different from Hash.Sum)
+	// It never returns an error.
+	io.Reader
+
+	// Clone returns a copy of the ShakeHash in its current state.
+	Clone() ShakeHash
+
+	// Reset resets the ShakeHash to its initial state.
+	Reset()
+}
+
+func (d *state) Clone() ShakeHash {
+	return d.clone()
+}
+
+// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash.
+// Its generic security strength is 128 bits against all attacks if at
+// least 32 bytes of its output are used.
+func NewShake128() ShakeHash { return &state{rate: 168, dsbyte: 0x1f} }
+
+// NewShake256 creates a new SHAKE128 variable-output-length ShakeHash.
+// Its generic security strength is 256 bits against all attacks if
+// at least 64 bytes of its output are used.
+func NewShake256() ShakeHash { return &state{rate: 136, dsbyte: 0x1f} }
+
+// ShakeSum128 writes an arbitrary-length digest of data into hash.
+func ShakeSum128(hash, data []byte) {
+	h := NewShake128()
+	h.Write(data)
+	h.Read(hash)
+}
+
+// ShakeSum256 writes an arbitrary-length digest of data into hash.
+func ShakeSum256(hash, data []byte) {
+	h := NewShake256()
+	h.Write(data)
+	h.Read(hash)
+}

crypto/sha3/xor.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build !amd64,!386,!ppc64le appengine
+
+package sha3
+
+var (
+	xorIn            = xorInGeneric
+	copyOut          = copyOutGeneric
+	xorInUnaligned   = xorInGeneric
+	copyOutUnaligned = copyOutGeneric
+)
+
+//const xorImplementationUnaligned = "generic"

crypto/sha3/xor_generic.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package sha3
+
+import "encoding/binary"
+
+// xorInGeneric xors the bytes in buf into the state; it
+// makes no non-portable assumptions about memory layout
+// or alignment.
+func xorInGeneric(d *state, buf []byte) {
+	n := len(buf) / 8
+
+	for i := 0; i < n; i++ {
+		a := binary.LittleEndian.Uint64(buf)
+		d.a[i] ^= a
+		buf = buf[8:]
+	}
+}
+
+// copyOutGeneric copies ulint64s to a byte buffer.
+func copyOutGeneric(d *state, b []byte) {
+	for i := 0; len(b) >= 8; i++ {
+		binary.LittleEndian.PutUint64(b, d.a[i])
+		b = b[8:]
+	}
+}

crypto/sha3/xor_unaligned.go

+// Copyright Fuzamei Corp. 2018 All Rights Reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2015 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build amd64 386 ppc64le
+// +build !appengine
+
+package sha3
+
+import "unsafe"
+
+func xorInUnaligned(d *state, buf []byte) {
+	bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))
+	n := len(buf)
+	if n >= 72 {
+		d.a[0] ^= bw[0]
+		d.a[1] ^= bw[1]
+		d.a[2] ^= bw[2]
+		d.a[3] ^= bw[3]
+		d.a[4] ^= bw[4]
+		d.a[5] ^= bw[5]
+		d.a[6] ^= bw[6]
+		d.a[7] ^= bw[7]
+		d.a[8] ^= bw[8]
+	}
+	if n >= 104 {
+		d.a[9] ^= bw[9]
+		d.a[10] ^= bw[10]
+		d.a[11] ^= bw[11]
+		d.a[12] ^= bw[12]
+	}
+	if n >= 136 {
+		d.a[13] ^= bw[13]
+		d.a[14] ^= bw[14]
+		d.a[15] ^= bw[15]
+		d.a[16] ^= bw[16]
+	}
+	if n >= 144 {
+		d.a[17] ^= bw[17]
+	}
+	if n >= 168 {
+		d.a[18] ^= bw[18]
+		d.a[19] ^= bw[19]
+		d.a[20] ^= bw[20]
+	}
+}
+
+func copyOutUnaligned(d *state, buf []byte) {
+	ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0]))
+	copy(buf, ab[:])
+}
+
+var (
+	xorIn   = xorInUnaligned
+	copyOut = copyOutUnaligned
+)
+
+//const xorImplementationUnaligned = "unaligned"

transaction.go

@@ -3,6 +3,7 @@ package sdk
 import (
 	"errors"
 	"github.com/33cn/chain33-sdk-go/crypto"
+	"github.com/33cn/chain33-sdk-go/crypto/ed25519"
 	"github.com/33cn/chain33-sdk-go/crypto/gm"
 	. "github.com/33cn/chain33-sdk-go/types"
 )
@@ -29,12 +30,19 @@ func Sign(tx *Transaction, privateKey []byte, signType string) (*Transaction, er
 		data := Encode(tx)
 		signature := gm.SM2Sign(data, privateKey, nil)
 		tx.Signature = &Signature{
-			Ty:        1,
+			Ty:        3,
 			Pubkey:    pub,
 			Signature: signature,
 		}
 	} else if signType == crypto.ED25519 {
-		// TODO
+		pub := ed25519.MakePublicKey(privateKey)
+		data := Encode(tx)
+		signature := ed25519.Sign(data, privateKey)
+		tx.Signature = &Signature{
+			Ty:                   2,
+			Pubkey:               pub,
+			Signature:            signature,
+		}
 	} else {
 		return nil, errors.New("sign type not support")
 	}