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chain33-sdk-go
Commit da5d4bcf authored by pengjun's avatar pengjun
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add signtype ed25519

parent 68acbbed
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Showing with 6625 additions and 9 deletions
account.go
View file @ da5d4bcf
...@@ -3,6 +3,7 @@ package sdk ...@@ -3,6 +3,7 @@ package sdk
import ( import (
"errors" "errors"
"github.com/33cn/chain33-sdk-go/crypto" "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/crypto/gm"
) )
...@@ -37,7 +38,18 @@ func NewAccount(signType string) (*Account, error) { ...@@ -37,7 +38,18 @@ func NewAccount(signType string) (*Account, error) {
} }
account.Address = addr account.Address = addr
} else if signType == crypto.ED25519 { } 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 { } else {
return nil, errors.New("sign type not support") return nil, errors.New("sign type not support")
} }
......
crypto/crypto_test.go
View file @ da5d4bcf
...@@ -2,6 +2,7 @@ package crypto ...@@ -2,6 +2,7 @@ package crypto
import ( import (
"fmt" "fmt"
"github.com/33cn/chain33-sdk-go/crypto/ed25519"
"github.com/33cn/chain33-sdk-go/crypto/gm" "github.com/33cn/chain33-sdk-go/crypto/gm"
"github.com/33cn/chain33-sdk-go/types" "github.com/33cn/chain33-sdk-go/types"
"github.com/stretchr/testify/assert" "github.com/stretchr/testify/assert"
...@@ -47,7 +48,7 @@ func TestSM2(t *testing.T) { ...@@ -47,7 +48,7 @@ func TestSM2(t *testing.T) {
fmt.Printf("sig = %x\n", sig) fmt.Printf("sig = %x\n", sig)
result := gm.SM2Verify(msg, pub, sig, nil) result := gm.SM2Verify(msg, pub, sig, nil)
fmt.Println(result) assert.Equal(t, true, result)
} }
func TestSM4(t *testing.T) { func TestSM4(t *testing.T) {
...@@ -84,3 +85,19 @@ func TestKDF(t *testing.T) { ...@@ -84,3 +85,19 @@ func TestKDF(t *testing.T) {
fmt.Println(keyf) fmt.Println(keyf)
fmt.Println(len(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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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{
{
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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},
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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},
},
{
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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{
{
{
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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},
},
{
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},
{
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{
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FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171},
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FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660},
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{
FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639},
FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963},
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{
FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568},
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FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653},
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{
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{
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},
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{
{
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},
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{
FieldElement{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933},
FieldElement{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182},
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{
FieldElement{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991},
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{
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},
},
{
FieldElement{32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995},
FieldElement{-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596},
FieldElement{-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891},
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{
FieldElement{31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060},
FieldElement{11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608},
FieldElement{-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606},
},
},
{
{
FieldElement{7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389},
FieldElement{-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016},
FieldElement{-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341},
},
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FieldElement{-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118},
FieldElement{-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517},
},
{
FieldElement{-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269},
FieldElement{-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904},
FieldElement{-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589},
},
{
FieldElement{-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193},
FieldElement{-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910},
FieldElement{-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930},
},
{
FieldElement{-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667},
FieldElement{25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481},
FieldElement{-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876},
},
{
FieldElement{22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640},
FieldElement{-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278},
FieldElement{-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112},
},
{
FieldElement{26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272},
FieldElement{17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012},
FieldElement{-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221},
},
{
FieldElement{30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046},
FieldElement{13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345},
FieldElement{-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310},
},
},
{
{
FieldElement{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937},
FieldElement{31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636},
FieldElement{-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008},
},
{
FieldElement{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429},
FieldElement{-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576},
FieldElement{31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066},
},
{
FieldElement{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490},
FieldElement{-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104},
FieldElement{33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053},
},
{
FieldElement{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275},
FieldElement{-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511},
FieldElement{22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095},
},
{
FieldElement{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439},
FieldElement{23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939},
FieldElement{-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424},
},
{
FieldElement{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310},
FieldElement{3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608},
FieldElement{-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079},
},
{
FieldElement{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101},
FieldElement{21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418},
FieldElement{18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576},
},
{
FieldElement{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356},
FieldElement{9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996},
FieldElement{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099},
},
},
{
{
FieldElement{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728},
FieldElement{-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658},
FieldElement{-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242},
},
{
FieldElement{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001},
FieldElement{-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766},
FieldElement{18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373},
},
{
FieldElement{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458},
FieldElement{-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628},
FieldElement{-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657},
},
{
FieldElement{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062},
FieldElement{25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616},
FieldElement{31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014},
},
{
FieldElement{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383},
FieldElement{-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814},
FieldElement{-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718},
},
{
FieldElement{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417},
FieldElement{2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222},
FieldElement{33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444},
},
{
FieldElement{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597},
FieldElement{23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970},
FieldElement{1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799},
},
{
FieldElement{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647},
FieldElement{13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511},
FieldElement{-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032},
},
},
{
{
FieldElement{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834},
FieldElement{-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461},
FieldElement{29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062},
},
{
FieldElement{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516},
FieldElement{-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547},
FieldElement{-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240},
},
{
FieldElement{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038},
FieldElement{-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741},
FieldElement{16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103},
},
{
FieldElement{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747},
FieldElement{-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323},
FieldElement{31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016},
},
{
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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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
View file @ da5d4bcf
...@@ -45,17 +45,17 @@ func parsePubKey(pubKeyStr []byte) (key *sm2.PublicKey) { ...@@ -45,17 +45,17 @@ func parsePubKey(pubKeyStr []byte) (key *sm2.PublicKey) {
return sm2.Decompress(pubKeyStr) 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 //SerializePrivateKey 私钥序列化
func serializePrivateKey(p *sm2.PrivateKey) []byte { func serializePrivateKey(p *sm2.PrivateKey) []byte {
b := make([]byte, 0, SM2PrivateKeyLength) b := make([]byte, 0, SM2PrivateKeyLength)
return paddedAppend(SM2PrivateKeyLength, b, p.D.Bytes()) 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 { func paddedAppend(size uint, dst, src []byte) []byte {
for i := 0; i < int(size)-len(src); i++ { for i := 0; i < int(size)-len(src); i++ {
dst = append(dst, 0) dst = append(dst, 0)
......
crypto/sha3/doc.go 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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 0 → 100644
View file @ da5d4bcf
// 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
View file @ da5d4bcf
...@@ -3,6 +3,7 @@ package sdk ...@@ -3,6 +3,7 @@ package sdk
import ( import (
"errors" "errors"
"github.com/33cn/chain33-sdk-go/crypto" "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/crypto/gm"
. "github.com/33cn/chain33-sdk-go/types" . "github.com/33cn/chain33-sdk-go/types"
) )
...@@ -29,12 +30,19 @@ func Sign(tx *Transaction, privateKey []byte, signType string) (*Transaction, er ...@@ -29,12 +30,19 @@ func Sign(tx *Transaction, privateKey []byte, signType string) (*Transaction, er
data := Encode(tx) data := Encode(tx)
signature := gm.SM2Sign(data, privateKey, nil) signature := gm.SM2Sign(data, privateKey, nil)
tx.Signature = &Signature{ tx.Signature = &Signature{
Ty: 1, Ty: 3,
Pubkey: pub, Pubkey: pub,
Signature: signature, Signature: signature,
} }
} else if signType == crypto.ED25519 { } 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 { } else {
return nil, errors.New("sign type not support") return nil, errors.New("sign type not support")
} }
......
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