Unverified Commit 316acbee authored by Eric Chiang's avatar Eric Chiang Committed by GitHub

Merge pull request #1299 from fajran/update-go-jose

Update go-jose to v2.1.8
parents 06241eae a823c021
hash: c41e5b1fbd68f04f14b6e9b2ebab8bf18b857b3dc3a5754e4adf7c1884981de7
updated: 2018-09-05T08:40:39.486766558+02:00
hash: 12d0ad2fc0df4ab221e45c1ba7821708b908033c82741e250cc46dcd445b67eb
updated: 2018-09-18T23:51:30.787348994+02:00
imports:
- name: github.com/beevik/etree
version: 4cd0dd976db869f817248477718071a28e978df0
......@@ -108,6 +108,9 @@ imports:
subpackages:
- bcrypt
- blowfish
- ed25519
- ed25519/internal/edwards25519
- pbkdf2
- name: golang.org/x/net
version: 5602c733f70afc6dcec6766be0d5034d4c4f14de
subpackages:
......@@ -168,7 +171,7 @@ imports:
- name: gopkg.in/ldap.v2
version: 0e7db8eb77695b5a952f0e5d78df9ab160050c73
- name: gopkg.in/square/go-jose.v2
version: 8c5257b2f658f86d174ae68c6a592eaf6a9608d9
version: 8254d6c783765f38c8675fae4427a1fe73fbd09d
subpackages:
- cipher
- json
......
......@@ -25,7 +25,7 @@ import:
# Used for JOSE functionality (JWKs, JWTs, etc.).
- package: gopkg.in/square/go-jose.v2
version: v2.0.0
version: v2.1.8
subpackages:
- cipher
- json
......
// Copyright 2016 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/.
//
// These functions are also compatible with the “Ed25519” function defined in
// https://tools.ietf.org/html/draft-irtf-cfrg-eddsa-05.
package ed25519
// This code is a port of the public domain, “ref10” implementation of ed25519
// from SUPERCOP.
import (
"crypto"
cryptorand "crypto/rand"
"crypto/sha512"
"crypto/subtle"
"errors"
"io"
"strconv"
"golang.org/x/crypto/ed25519/internal/edwards25519"
)
const (
// PublicKeySize is the size, in bytes, of public keys as used in this package.
PublicKeySize = 32
// PrivateKeySize is the size, in bytes, of private keys as used in this package.
PrivateKeySize = 64
// SignatureSize is the size, in bytes, of signatures generated and verified by this package.
SignatureSize = 64
)
// PublicKey is the type of Ed25519 public keys.
type PublicKey []byte
// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer.
type PrivateKey []byte
// Public returns the PublicKey corresponding to priv.
func (priv PrivateKey) Public() crypto.PublicKey {
publicKey := make([]byte, PublicKeySize)
copy(publicKey, priv[32:])
return PublicKey(publicKey)
}
// Sign signs the given message with priv.
// Ed25519 performs two passes over messages to be signed and therefore cannot
// handle pre-hashed messages. Thus opts.HashFunc() must return zero to
// indicate the message hasn't been hashed. This can be achieved by passing
// crypto.Hash(0) as the value for opts.
func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) {
if opts.HashFunc() != crypto.Hash(0) {
return nil, errors.New("ed25519: cannot sign hashed message")
}
return Sign(priv, message), nil
}
// GenerateKey generates a public/private key pair using entropy from rand.
// If rand is nil, crypto/rand.Reader will be used.
func GenerateKey(rand io.Reader) (publicKey PublicKey, privateKey PrivateKey, err error) {
if rand == nil {
rand = cryptorand.Reader
}
privateKey = make([]byte, PrivateKeySize)
publicKey = make([]byte, PublicKeySize)
_, err = io.ReadFull(rand, privateKey[:32])
if err != nil {
return nil, nil, err
}
digest := sha512.Sum512(privateKey[:32])
digest[0] &= 248
digest[31] &= 127
digest[31] |= 64
var A edwards25519.ExtendedGroupElement
var hBytes [32]byte
copy(hBytes[:], digest[:])
edwards25519.GeScalarMultBase(&A, &hBytes)
var publicKeyBytes [32]byte
A.ToBytes(&publicKeyBytes)
copy(privateKey[32:], publicKeyBytes[:])
copy(publicKey, publicKeyBytes[:])
return publicKey, privateKey, nil
}
// Sign signs the message with privateKey and returns a signature. It will
// panic if len(privateKey) is not PrivateKeySize.
func Sign(privateKey PrivateKey, message []byte) []byte {
if l := len(privateKey); l != PrivateKeySize {
panic("ed25519: bad private key length: " + strconv.Itoa(l))
}
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 reports whether sig is a valid signature of message by publicKey. It
// will panic if len(publicKey) is not PublicKeySize.
func Verify(publicKey PublicKey, message, sig []byte) bool {
if l := len(publicKey); l != PublicKeySize {
panic("ed25519: bad public key length: " + strconv.Itoa(l))
}
if len(sig) != SignatureSize || sig[63]&224 != 0 {
return false
}
var A edwards25519.ExtendedGroupElement
var publicKeyBytes [32]byte
copy(publicKeyBytes[:], publicKey)
if !A.FromBytes(&publicKeyBytes) {
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
}
// Copyright 2016 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
// These values are from the public domain, “ref10” implementation of ed25519
// from SUPERCOP.
// d is a constant in the Edwards curve equation.
var d = FieldElement{
-10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116,
}
// d2 is 2*d.
var d2 = FieldElement{
-21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199,
}
// SqrtM1 is the square-root of -1 in the field.
var SqrtM1 = FieldElement{
-32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482,
}
// A is a constant in the Montgomery-form of curve25519.
var A = FieldElement{
486662, 0, 0, 0, 0, 0, 0, 0, 0, 0,
}
// bi contains precomputed multiples of the base-point. See the Ed25519 paper
// for a discussion about how these values are used.
var bi = [8]PreComputedGroupElement{
{
FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546},
},
{
FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357},
},
{
FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380},
FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306},
FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942},
},
{
FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766},
FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701},
FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300},
},
{
FieldElement{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877},
FieldElement{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951},
FieldElement{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784},
},
{
FieldElement{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436},
FieldElement{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918},
FieldElement{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877},
},
{
FieldElement{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800},
FieldElement{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305},
FieldElement{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300},
},
{
FieldElement{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876},
FieldElement{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619},
FieldElement{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683},
},
}
// base contains precomputed multiples of the base-point. See the Ed25519 paper
// for a discussion about how these values are used.
var base = [32][8]PreComputedGroupElement{
{
{
FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605},
FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378},
FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546},
},
{
FieldElement{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303},
FieldElement{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081},
FieldElement{26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697},
},
{
FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024},
FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574},
FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357},
},
{
FieldElement{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540},
FieldElement{23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397},
FieldElement{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325},
},
{
FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380},
FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306},
FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942},
},
{
FieldElement{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777},
FieldElement{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737},
FieldElement{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652},
},
{
FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766},
FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701},
FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300},
},
{
FieldElement{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726},
FieldElement{-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955},
FieldElement{27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425},
},
},
{
{
FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171},
FieldElement{27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510},
FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660},
},
{
FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639},
FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963},
FieldElement{5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950},
},
{
FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568},
FieldElement{12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335},
FieldElement{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628},
},
{
FieldElement{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007},
FieldElement{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772},
FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653},
},
{
FieldElement{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567},
FieldElement{13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686},
FieldElement{21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372},
},
{
FieldElement{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887},
FieldElement{-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954},
FieldElement{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953},
},
{
FieldElement{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833},
FieldElement{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532},
FieldElement{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876},
},
{
FieldElement{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268},
FieldElement{33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214},
FieldElement{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038},
},
},
{
{
FieldElement{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800},
FieldElement{4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645},
FieldElement{-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664},
},
{
FieldElement{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933},
FieldElement{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182},
FieldElement{-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222},
},
{
FieldElement{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991},
FieldElement{20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880},
FieldElement{9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092},
},
{
FieldElement{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295},
FieldElement{19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788},
FieldElement{8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553},
},
{
FieldElement{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026},
FieldElement{11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347},
FieldElement{-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033},
},
{
FieldElement{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395},
FieldElement{-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278},
FieldElement{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890},
},
{
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},
},
{
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},
},
},
}
// Copyright 2016 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
// 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
func FeZero(fe *FieldElement) {
copy(fe[:], zero[:])
}
func FeOne(fe *FieldElement) {
FeZero(fe)
fe[0] = 1
}
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]
}
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]
}
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.
//
// 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 {
var r int64
r = int64(in[0])
r |= int64(in[1]) << 8
r |= int64(in[2]) << 16
return r
}
func load4(in []byte) int64 {
var r int64
r = int64(in[0])
r |= int64(in[1]) << 8
r |= int64(in[2]) << 16
r |= int64(in[3]) << 24
return r
}
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: Output 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: Output 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)
}
func FeIsNegative(f *FieldElement) byte {
var s [32]byte
FeToBytes(&s, f)
return s[0] & 1
}
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]
}
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)
}
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)
type ProjectiveGroupElement struct {
X, Y, Z FieldElement
}
type ExtendedGroupElement struct {
X, Y, Z, T FieldElement
}
type CompletedGroupElement struct {
X, Y, Z, T FieldElement
}
type PreComputedGroupElement struct {
yPlusX, yMinusX, xy2d FieldElement
}
type CachedGroupElement struct {
yPlusX, yMinusX, Z, T2d FieldElement
}
func (p *ProjectiveGroupElement) Zero() {
FeZero(&p.X)
FeOne(&p.Y)
FeOne(&p.Z)
}
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)
}
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
}
func (p *ExtendedGroupElement) Zero() {
FeZero(&p.X)
FeOne(&p.Y)
FeOne(&p.Z)
FeZero(&p.T)
}
func (p *ExtendedGroupElement) Double(r *CompletedGroupElement) {
var q ProjectiveGroupElement
p.ToProjective(&q)
q.Double(r)
}
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)
}
func (p *ExtendedGroupElement) ToProjective(r *ProjectiveGroupElement) {
FeCopy(&r.X, &p.X)
FeCopy(&r.Y, &p.Y)
FeCopy(&r.Z, &p.Z)
}
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
}
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
}
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)
}
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)
}
func (p *PreComputedGroupElement) Zero() {
FeOne(&p.yPlusX)
FeOne(&p.yMinusX)
FeZero(&p.xy2d)
}
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, assuming that b and c are
// non-negative.
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
}
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)
}
}
// 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
//
// Output:
// 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)
}
// Input:
// s[0]+256*s[1]+...+256^63*s[63] = s
//
// Output:
// 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)
}
// Copyright 2012 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 pbkdf2 implements the key derivation function PBKDF2 as defined in RFC
2898 / PKCS #5 v2.0.
A key derivation function is useful when encrypting data based on a password
or any other not-fully-random data. It uses a pseudorandom function to derive
a secure encryption key based on the password.
While v2.0 of the standard defines only one pseudorandom function to use,
HMAC-SHA1, the drafted v2.1 specification allows use of all five FIPS Approved
Hash Functions SHA-1, SHA-224, SHA-256, SHA-384 and SHA-512 for HMAC. To
choose, you can pass the `New` functions from the different SHA packages to
pbkdf2.Key.
*/
package pbkdf2 // import "golang.org/x/crypto/pbkdf2"
import (
"crypto/hmac"
"hash"
)
// Key derives a key from the password, salt and iteration count, returning a
// []byte of length keylen that can be used as cryptographic key. The key is
// derived based on the method described as PBKDF2 with the HMAC variant using
// the supplied hash function.
//
// For example, to use a HMAC-SHA-1 based PBKDF2 key derivation function, you
// can get a derived key for e.g. AES-256 (which needs a 32-byte key) by
// doing:
//
// dk := pbkdf2.Key([]byte("some password"), salt, 4096, 32, sha1.New)
//
// Remember to get a good random salt. At least 8 bytes is recommended by the
// RFC.
//
// Using a higher iteration count will increase the cost of an exhaustive
// search but will also make derivation proportionally slower.
func Key(password, salt []byte, iter, keyLen int, h func() hash.Hash) []byte {
prf := hmac.New(h, password)
hashLen := prf.Size()
numBlocks := (keyLen + hashLen - 1) / hashLen
var buf [4]byte
dk := make([]byte, 0, numBlocks*hashLen)
U := make([]byte, hashLen)
for block := 1; block <= numBlocks; block++ {
// N.B.: || means concatenation, ^ means XOR
// for each block T_i = U_1 ^ U_2 ^ ... ^ U_iter
// U_1 = PRF(password, salt || uint(i))
prf.Reset()
prf.Write(salt)
buf[0] = byte(block >> 24)
buf[1] = byte(block >> 16)
buf[2] = byte(block >> 8)
buf[3] = byte(block)
prf.Write(buf[:4])
dk = prf.Sum(dk)
T := dk[len(dk)-hashLen:]
copy(U, T)
// U_n = PRF(password, U_(n-1))
for n := 2; n <= iter; n++ {
prf.Reset()
prf.Write(U)
U = U[:0]
U = prf.Sum(U)
for x := range U {
T[x] ^= U[x]
}
}
}
return dk[:keyLen]
}
......@@ -28,7 +28,9 @@ import (
"fmt"
"math/big"
"golang.org/x/crypto/ed25519"
"gopkg.in/square/go-jose.v2/cipher"
"gopkg.in/square/go-jose.v2/json"
)
// A generic RSA-based encrypter/verifier
......@@ -46,6 +48,10 @@ type ecEncrypterVerifier struct {
publicKey *ecdsa.PublicKey
}
type edEncrypterVerifier struct {
publicKey ed25519.PublicKey
}
// A key generator for ECDH-ES
type ecKeyGenerator struct {
size int
......@@ -58,6 +64,10 @@ type ecDecrypterSigner struct {
privateKey *ecdsa.PrivateKey
}
type edDecrypterSigner struct {
privateKey ed25519.PrivateKey
}
// newRSARecipient creates recipientKeyInfo based on the given key.
func newRSARecipient(keyAlg KeyAlgorithm, publicKey *rsa.PublicKey) (recipientKeyInfo, error) {
// Verify that key management algorithm is supported by this encrypter
......@@ -94,15 +104,34 @@ func newRSASigner(sigAlg SignatureAlgorithm, privateKey *rsa.PrivateKey) (recipi
return recipientSigInfo{
sigAlg: sigAlg,
publicKey: &JSONWebKey{
Key: &privateKey.PublicKey,
},
publicKey: staticPublicKey(&JSONWebKey{
Key: privateKey.Public(),
}),
signer: &rsaDecrypterSigner{
privateKey: privateKey,
},
}, nil
}
func newEd25519Signer(sigAlg SignatureAlgorithm, privateKey ed25519.PrivateKey) (recipientSigInfo, error) {
if sigAlg != EdDSA {
return recipientSigInfo{}, ErrUnsupportedAlgorithm
}
if privateKey == nil {
return recipientSigInfo{}, errors.New("invalid private key")
}
return recipientSigInfo{
sigAlg: sigAlg,
publicKey: staticPublicKey(&JSONWebKey{
Key: privateKey.Public(),
}),
signer: &edDecrypterSigner{
privateKey: privateKey,
},
}, nil
}
// newECDHRecipient creates recipientKeyInfo based on the given key.
func newECDHRecipient(keyAlg KeyAlgorithm, publicKey *ecdsa.PublicKey) (recipientKeyInfo, error) {
// Verify that key management algorithm is supported by this encrypter
......@@ -139,9 +168,9 @@ func newECDSASigner(sigAlg SignatureAlgorithm, privateKey *ecdsa.PrivateKey) (re
return recipientSigInfo{
sigAlg: sigAlg,
publicKey: &JSONWebKey{
Key: &privateKey.PublicKey,
},
publicKey: staticPublicKey(&JSONWebKey{
Key: privateKey.Public(),
}),
signer: &ecDecrypterSigner{
privateKey: privateKey,
},
......@@ -178,7 +207,7 @@ func (ctx rsaEncrypterVerifier) encrypt(cek []byte, alg KeyAlgorithm) ([]byte, e
// Decrypt the given payload and return the content encryption key.
func (ctx rsaDecrypterSigner) decryptKey(headers rawHeader, recipient *recipientInfo, generator keyGenerator) ([]byte, error) {
return ctx.decrypt(recipient.encryptedKey, KeyAlgorithm(headers.Alg), generator)
return ctx.decrypt(recipient.encryptedKey, headers.getAlgorithm(), generator)
}
// Decrypt the given payload. Based on the key encryption algorithm,
......@@ -366,10 +395,15 @@ func (ctx ecKeyGenerator) genKey() ([]byte, rawHeader, error) {
out := josecipher.DeriveECDHES(ctx.algID, []byte{}, []byte{}, priv, ctx.publicKey, ctx.size)
headers := rawHeader{
Epk: &JSONWebKey{
b, err := json.Marshal(&JSONWebKey{
Key: &priv.PublicKey,
},
})
if err != nil {
return nil, nil, err
}
headers := rawHeader{
headerEPK: makeRawMessage(b),
}
return out, headers, nil
......@@ -377,11 +411,15 @@ func (ctx ecKeyGenerator) genKey() ([]byte, rawHeader, error) {
// Decrypt the given payload and return the content encryption key.
func (ctx ecDecrypterSigner) decryptKey(headers rawHeader, recipient *recipientInfo, generator keyGenerator) ([]byte, error) {
if headers.Epk == nil {
epk, err := headers.getEPK()
if err != nil {
return nil, errors.New("square/go-jose: invalid epk header")
}
if epk == nil {
return nil, errors.New("square/go-jose: missing epk header")
}
publicKey, ok := headers.Epk.Key.(*ecdsa.PublicKey)
publicKey, ok := epk.Key.(*ecdsa.PublicKey)
if publicKey == nil || !ok {
return nil, errors.New("square/go-jose: invalid epk header")
}
......@@ -390,19 +428,26 @@ func (ctx ecDecrypterSigner) decryptKey(headers rawHeader, recipient *recipientI
return nil, errors.New("square/go-jose: invalid public key in epk header")
}
apuData := headers.Apu.bytes()
apvData := headers.Apv.bytes()
apuData, err := headers.getAPU()
if err != nil {
return nil, errors.New("square/go-jose: invalid apu header")
}
apvData, err := headers.getAPV()
if err != nil {
return nil, errors.New("square/go-jose: invalid apv header")
}
deriveKey := func(algID string, size int) []byte {
return josecipher.DeriveECDHES(algID, apuData, apvData, ctx.privateKey, publicKey, size)
return josecipher.DeriveECDHES(algID, apuData.bytes(), apvData.bytes(), ctx.privateKey, publicKey, size)
}
var keySize int
switch KeyAlgorithm(headers.Alg) {
algorithm := headers.getAlgorithm()
switch algorithm {
case ECDH_ES:
// ECDH-ES uses direct key agreement, no key unwrapping necessary.
return deriveKey(string(headers.Enc), generator.keySize()), nil
return deriveKey(string(headers.getEncryption()), generator.keySize()), nil
case ECDH_ES_A128KW:
keySize = 16
case ECDH_ES_A192KW:
......@@ -413,7 +458,7 @@ func (ctx ecDecrypterSigner) decryptKey(headers rawHeader, recipient *recipientI
return nil, ErrUnsupportedAlgorithm
}
key := deriveKey(headers.Alg, keySize)
key := deriveKey(string(algorithm), keySize)
block, err := aes.NewCipher(key)
if err != nil {
return nil, err
......@@ -422,6 +467,33 @@ func (ctx ecDecrypterSigner) decryptKey(headers rawHeader, recipient *recipientI
return josecipher.KeyUnwrap(block, recipient.encryptedKey)
}
func (ctx edDecrypterSigner) signPayload(payload []byte, alg SignatureAlgorithm) (Signature, error) {
if alg != EdDSA {
return Signature{}, ErrUnsupportedAlgorithm
}
sig, err := ctx.privateKey.Sign(randReader, payload, crypto.Hash(0))
if err != nil {
return Signature{}, err
}
return Signature{
Signature: sig,
protected: &rawHeader{},
}, nil
}
func (ctx edEncrypterVerifier) verifyPayload(payload []byte, signature []byte, alg SignatureAlgorithm) error {
if alg != EdDSA {
return ErrUnsupportedAlgorithm
}
ok := ed25519.Verify(ctx.publicKey, payload, signature)
if !ok {
return errors.New("square/go-jose: ed25519 signature failed to verify")
}
return nil
}
// Sign the given payload
func (ctx ecDecrypterSigner) signPayload(payload []byte, alg SignatureAlgorithm) (Signature, error) {
var expectedBitSize int
......@@ -460,7 +532,7 @@ func (ctx ecDecrypterSigner) signPayload(payload []byte, alg SignatureAlgorithm)
keyBytes++
}
// We serialize the outpus (r and s) into big-endian byte arrays and pad
// We serialize the outputs (r and s) into big-endian byte arrays and pad
// them with zeros on the left to make sure the sizes work out. Both arrays
// must be keyBytes long, and the output must be 2*keyBytes long.
rBytes := r.Bytes()
......
......@@ -28,7 +28,7 @@ import (
// size may be at most 1<<16 bytes (64 KiB).
func DeriveECDHES(alg string, apuData, apvData []byte, priv *ecdsa.PrivateKey, pub *ecdsa.PublicKey, size int) []byte {
if size > 1<<16 {
panic("ECDH-ES output size too large, must be less than 1<<16")
panic("ECDH-ES output size too large, must be less than or equal to 1<<16")
}
// algId, partyUInfo, partyVInfo inputs must be prefixed with the length
......
......@@ -22,12 +22,15 @@ import (
"errors"
"fmt"
"reflect"
"gopkg.in/square/go-jose.v2/json"
)
// Encrypter represents an encrypter which produces an encrypted JWE object.
type Encrypter interface {
Encrypt(plaintext []byte) (*JSONWebEncryption, error)
EncryptWithAuthData(plaintext []byte, aad []byte) (*JSONWebEncryption, error)
Options() EncrypterOptions
}
// A generic content cipher
......@@ -60,6 +63,7 @@ type genericEncrypter struct {
cipher contentCipher
recipients []recipientKeyInfo
keyGenerator keyGenerator
extraHeaders map[HeaderKey]interface{}
}
type recipientKeyInfo struct {
......@@ -71,13 +75,47 @@ type recipientKeyInfo struct {
// EncrypterOptions represents options that can be set on new encrypters.
type EncrypterOptions struct {
Compression CompressionAlgorithm
// Optional map of additional keys to be inserted into the protected header
// of a JWS object. Some specifications which make use of JWS like to insert
// additional values here. All values must be JSON-serializable.
ExtraHeaders map[HeaderKey]interface{}
}
// WithHeader adds an arbitrary value to the ExtraHeaders map, initializing it
// if necessary. It returns itself and so can be used in a fluent style.
func (eo *EncrypterOptions) WithHeader(k HeaderKey, v interface{}) *EncrypterOptions {
if eo.ExtraHeaders == nil {
eo.ExtraHeaders = map[HeaderKey]interface{}{}
}
eo.ExtraHeaders[k] = v
return eo
}
// WithContentType adds a content type ("cty") header and returns the updated
// EncrypterOptions.
func (eo *EncrypterOptions) WithContentType(contentType ContentType) *EncrypterOptions {
return eo.WithHeader(HeaderContentType, contentType)
}
// WithType adds a type ("typ") header and returns the updated EncrypterOptions.
func (eo *EncrypterOptions) WithType(typ ContentType) *EncrypterOptions {
return eo.WithHeader(HeaderType, typ)
}
// Recipient represents an algorithm/key to encrypt messages to.
//
// PBES2Count and PBES2Salt correspond with the "p2c" and "p2s" headers used
// on the password-based encryption algorithms PBES2-HS256+A128KW,
// PBES2-HS384+A192KW, and PBES2-HS512+A256KW. If they are not provided a safe
// default of 100000 will be used for the count and a 128-bit random salt will
// be generated.
type Recipient struct {
Algorithm KeyAlgorithm
Key interface{}
KeyID string
PBES2Count int
PBES2Salt []byte
}
// NewEncrypter creates an appropriate encrypter based on the key type
......@@ -89,6 +127,7 @@ func NewEncrypter(enc ContentEncryption, rcpt Recipient, opts *EncrypterOptions)
}
if opts != nil {
encrypter.compressionAlg = opts.Compression
encrypter.extraHeaders = opts.ExtraHeaders
}
if encrypter.cipher == nil {
......@@ -98,9 +137,10 @@ func NewEncrypter(enc ContentEncryption, rcpt Recipient, opts *EncrypterOptions)
var keyID string
var rawKey interface{}
switch encryptionKey := rcpt.Key.(type) {
case JSONWebKey:
keyID, rawKey = encryptionKey.KeyID, encryptionKey.Key
case *JSONWebKey:
keyID = encryptionKey.KeyID
rawKey = encryptionKey.Key
keyID, rawKey = encryptionKey.KeyID, encryptionKey.Key
default:
rawKey = encryptionKey
}
......@@ -196,6 +236,14 @@ func (ctx *genericEncrypter) addRecipient(recipient Recipient) (err error) {
recipientInfo.keyID = recipient.KeyID
}
switch recipient.Algorithm {
case PBES2_HS256_A128KW, PBES2_HS384_A192KW, PBES2_HS512_A256KW:
if sr, ok := recipientInfo.keyEncrypter.(*symmetricKeyCipher); ok {
sr.p2c = recipient.PBES2Count
sr.p2s = recipient.PBES2Salt
}
}
if err == nil {
ctx.recipients = append(ctx.recipients, recipientInfo)
}
......@@ -210,6 +258,8 @@ func makeJWERecipient(alg KeyAlgorithm, encryptionKey interface{}) (recipientKey
return newECDHRecipient(alg, encryptionKey)
case []byte:
return newSymmetricRecipient(alg, encryptionKey)
case string:
return newSymmetricRecipient(alg, []byte(encryptionKey))
case *JSONWebKey:
recipient, err := makeJWERecipient(alg, encryptionKey.Key)
recipient.keyID = encryptionKey.KeyID
......@@ -234,6 +284,12 @@ func newDecrypter(decryptionKey interface{}) (keyDecrypter, error) {
return &symmetricKeyCipher{
key: decryptionKey,
}, nil
case string:
return &symmetricKeyCipher{
key: []byte(decryptionKey),
}, nil
case JSONWebKey:
return newDecrypter(decryptionKey.Key)
case *JSONWebKey:
return newDecrypter(decryptionKey.Key)
default:
......@@ -251,9 +307,12 @@ func (ctx *genericEncrypter) EncryptWithAuthData(plaintext, aad []byte) (*JSONWe
obj := &JSONWebEncryption{}
obj.aad = aad
obj.protected = &rawHeader{
Enc: ctx.contentAlg,
obj.protected = &rawHeader{}
err := obj.protected.set(headerEncryption, ctx.contentAlg)
if err != nil {
return nil, err
}
obj.recipients = make([]recipientInfo, len(ctx.recipients))
if len(ctx.recipients) == 0 {
......@@ -273,9 +332,16 @@ func (ctx *genericEncrypter) EncryptWithAuthData(plaintext, aad []byte) (*JSONWe
return nil, err
}
recipient.header.Alg = string(info.keyAlg)
err = recipient.header.set(headerAlgorithm, info.keyAlg)
if err != nil {
return nil, err
}
if info.keyID != "" {
recipient.header.Kid = info.keyID
err = recipient.header.set(headerKeyID, info.keyID)
if err != nil {
return nil, err
}
}
obj.recipients[i] = recipient
}
......@@ -293,7 +359,18 @@ func (ctx *genericEncrypter) EncryptWithAuthData(plaintext, aad []byte) (*JSONWe
return nil, err
}
obj.protected.Zip = ctx.compressionAlg
err = obj.protected.set(headerCompression, ctx.compressionAlg)
if err != nil {
return nil, err
}
}
for k, v := range ctx.extraHeaders {
b, err := json.Marshal(v)
if err != nil {
return nil, err
}
(*obj.protected)[k] = makeRawMessage(b)
}
authData := obj.computeAuthData()
......@@ -309,6 +386,13 @@ func (ctx *genericEncrypter) EncryptWithAuthData(plaintext, aad []byte) (*JSONWe
return obj, nil
}
func (ctx *genericEncrypter) Options() EncrypterOptions {
return EncrypterOptions{
Compression: ctx.compressionAlg,
ExtraHeaders: ctx.extraHeaders,
}
}
// Decrypt and validate the object and return the plaintext. Note that this
// function does not support multi-recipient, if you desire multi-recipient
// decryption use DecryptMulti instead.
......@@ -319,7 +403,12 @@ func (obj JSONWebEncryption) Decrypt(decryptionKey interface{}) ([]byte, error)
return nil, errors.New("square/go-jose: too many recipients in payload; expecting only one")
}
if len(headers.Crit) > 0 {
critical, err := headers.getCritical()
if err != nil {
return nil, fmt.Errorf("square/go-jose: invalid crit header")
}
if len(critical) > 0 {
return nil, fmt.Errorf("square/go-jose: unsupported crit header")
}
......@@ -328,9 +417,9 @@ func (obj JSONWebEncryption) Decrypt(decryptionKey interface{}) ([]byte, error)
return nil, err
}
cipher := getContentCipher(headers.Enc)
cipher := getContentCipher(headers.getEncryption())
if cipher == nil {
return nil, fmt.Errorf("square/go-jose: unsupported enc value '%s'", string(headers.Enc))
return nil, fmt.Errorf("square/go-jose: unsupported enc value '%s'", string(headers.getEncryption()))
}
generator := randomKeyGenerator{
......@@ -360,8 +449,8 @@ func (obj JSONWebEncryption) Decrypt(decryptionKey interface{}) ([]byte, error)
}
// The "zip" header parameter may only be present in the protected header.
if obj.protected.Zip != "" {
plaintext, err = decompress(obj.protected.Zip, plaintext)
if comp := obj.protected.getCompression(); comp != "" {
plaintext, err = decompress(comp, plaintext)
}
return plaintext, err
......@@ -374,7 +463,12 @@ func (obj JSONWebEncryption) Decrypt(decryptionKey interface{}) ([]byte, error)
func (obj JSONWebEncryption) DecryptMulti(decryptionKey interface{}) (int, Header, []byte, error) {
globalHeaders := obj.mergedHeaders(nil)
if len(globalHeaders.Crit) > 0 {
critical, err := globalHeaders.getCritical()
if err != nil {
return -1, Header{}, nil, fmt.Errorf("square/go-jose: invalid crit header")
}
if len(critical) > 0 {
return -1, Header{}, nil, fmt.Errorf("square/go-jose: unsupported crit header")
}
......@@ -383,9 +477,10 @@ func (obj JSONWebEncryption) DecryptMulti(decryptionKey interface{}) (int, Heade
return -1, Header{}, nil, err
}
cipher := getContentCipher(globalHeaders.Enc)
encryption := globalHeaders.getEncryption()
cipher := getContentCipher(encryption)
if cipher == nil {
return -1, Header{}, nil, fmt.Errorf("square/go-jose: unsupported enc value '%s'", string(globalHeaders.Enc))
return -1, Header{}, nil, fmt.Errorf("square/go-jose: unsupported enc value '%s'", string(encryption))
}
generator := randomKeyGenerator{
......@@ -424,9 +519,14 @@ func (obj JSONWebEncryption) DecryptMulti(decryptionKey interface{}) (int, Heade
}
// The "zip" header parameter may only be present in the protected header.
if obj.protected.Zip != "" {
plaintext, err = decompress(obj.protected.Zip, plaintext)
if comp := obj.protected.getCompression(); comp != "" {
plaintext, err = decompress(comp, plaintext)
}
sanitized, err := headers.sanitized()
if err != nil {
return -1, Header{}, nil, fmt.Errorf("square/go-jose: failed to sanitize header: %v", err)
}
return index, headers.sanitized(), plaintext, err
return index, sanitized, plaintext, err
}
......@@ -17,10 +17,11 @@
/*
Package jose aims to provide an implementation of the Javascript Object Signing
and Encryption set of standards. For the moment, it mainly focuses on
encryption and signing based on the JSON Web Encryption and JSON Web Signature
standards. The library supports both the compact and full serialization
formats, and has optional support for multiple recipients.
and Encryption set of standards. It implements encryption and signing based on
the JSON Web Encryption and JSON Web Signature standards, with optional JSON
Web Token support available in a sub-package. The library supports both the
compact and full serialization formats, and has optional support for multiple
recipients.
*/
package jose
......@@ -21,10 +21,11 @@ import (
"compress/flate"
"encoding/base64"
"encoding/binary"
"encoding/json"
"io"
"math/big"
"regexp"
"gopkg.in/square/go-jose.v2/json"
)
var stripWhitespaceRegex = regexp.MustCompile("\\s")
......
......@@ -18,9 +18,10 @@ package jose
import (
"encoding/base64"
"encoding/json"
"fmt"
"strings"
"gopkg.in/square/go-jose.v2/json"
)
// rawJSONWebEncryption represents a raw JWE JSON object. Used for parsing/serializing.
......@@ -85,10 +86,12 @@ func (obj JSONWebEncryption) mergedHeaders(recipient *recipientInfo) rawHeader {
func (obj JSONWebEncryption) computeAuthData() []byte {
var protected string
if obj.original != nil {
if obj.original != nil && obj.original.Protected != nil {
protected = obj.original.Protected.base64()
} else {
} else if obj.protected != nil {
protected = base64.RawURLEncoding.EncodeToString(mustSerializeJSON((obj.protected)))
} else {
protected = ""
}
output := []byte(protected)
......@@ -129,10 +132,16 @@ func (parsed *rawJSONWebEncryption) sanitized() (*JSONWebEncryption, error) {
}
// Check that there is not a nonce in the unprotected headers
if (parsed.Unprotected != nil && parsed.Unprotected.Nonce != "") ||
(parsed.Header != nil && parsed.Header.Nonce != "") {
if parsed.Unprotected != nil {
if nonce := parsed.Unprotected.getNonce(); nonce != "" {
return nil, ErrUnprotectedNonce
}
}
if parsed.Header != nil {
if nonce := parsed.Header.getNonce(); nonce != "" {
return nil, ErrUnprotectedNonce
}
}
if parsed.Protected != nil && len(parsed.Protected.bytes()) > 0 {
err := json.Unmarshal(parsed.Protected.bytes(), &obj.protected)
......@@ -143,7 +152,12 @@ func (parsed *rawJSONWebEncryption) sanitized() (*JSONWebEncryption, error) {
// Note: this must be called _after_ we parse the protected header,
// otherwise fields from the protected header will not get picked up.
obj.Header = obj.mergedHeaders(nil).sanitized()
var err error
mergedHeaders := obj.mergedHeaders(nil)
obj.Header, err = mergedHeaders.sanitized()
if err != nil {
return nil, fmt.Errorf("square/go-jose: cannot sanitize merged headers: %v (%v)", err, mergedHeaders)
}
if len(parsed.Recipients) == 0 {
obj.recipients = []recipientInfo{
......@@ -161,7 +175,7 @@ func (parsed *rawJSONWebEncryption) sanitized() (*JSONWebEncryption, error) {
}
// Check that there is not a nonce in the unprotected header
if parsed.Recipients[r].Header != nil && parsed.Recipients[r].Header.Nonce != "" {
if parsed.Recipients[r].Header != nil && parsed.Recipients[r].Header.getNonce() != "" {
return nil, ErrUnprotectedNonce
}
......@@ -172,7 +186,7 @@ func (parsed *rawJSONWebEncryption) sanitized() (*JSONWebEncryption, error) {
for _, recipient := range obj.recipients {
headers := obj.mergedHeaders(&recipient)
if headers.Alg == "" || headers.Enc == "" {
if headers.getAlgorithm() == "" || headers.getEncryption() == "" {
return nil, fmt.Errorf("square/go-jose: message is missing alg/enc headers")
}
}
......
......@@ -29,6 +29,8 @@ import (
"reflect"
"strings"
"golang.org/x/crypto/ed25519"
"gopkg.in/square/go-jose.v2/json"
)
......@@ -73,10 +75,14 @@ func (k JSONWebKey) MarshalJSON() ([]byte, error) {
var err error
switch key := k.Key.(type) {
case ed25519.PublicKey:
raw = fromEdPublicKey(key)
case *ecdsa.PublicKey:
raw, err = fromEcPublicKey(key)
case *rsa.PublicKey:
raw = fromRsaPublicKey(key)
case ed25519.PrivateKey:
raw, err = fromEdPrivateKey(key)
case *ecdsa.PrivateKey:
raw, err = fromEcPrivateKey(key)
case *rsa.PrivateKey:
......@@ -126,23 +132,26 @@ func (k *JSONWebKey) UnmarshalJSON(data []byte) (err error) {
}
case "oct":
key, err = raw.symmetricKey()
case "OKP":
if raw.Crv == "Ed25519" && raw.X != nil {
if raw.D != nil {
key, err = raw.edPrivateKey()
} else {
key, err = raw.edPublicKey()
}
} else {
err = fmt.Errorf("square/go-jose: unknown curve %s'", raw.Crv)
}
default:
err = fmt.Errorf("square/go-jose: unknown json web key type '%s'", raw.Kty)
}
if err == nil {
*k = JSONWebKey{Key: key, KeyID: raw.Kid, Algorithm: raw.Alg, Use: raw.Use}
}
k.Certificates = make([]*x509.Certificate, len(raw.X5c))
for i, cert := range raw.X5c {
raw, err := base64.StdEncoding.DecodeString(cert)
k.Certificates, err = parseCertificateChain(raw.X5c)
if err != nil {
return err
}
k.Certificates[i], err = x509.ParseCertificate(raw)
if err != nil {
return err
return fmt.Errorf("failed to unmarshal x5c field: %s", err)
}
}
......@@ -171,6 +180,7 @@ func (s *JSONWebKeySet) Key(kid string) []JSONWebKey {
const rsaThumbprintTemplate = `{"e":"%s","kty":"RSA","n":"%s"}`
const ecThumbprintTemplate = `{"crv":"%s","kty":"EC","x":"%s","y":"%s"}`
const edThumbprintTemplate = `{"crv":"%s","kty":"OKP",x":"%s"}`
func ecThumbprintInput(curve elliptic.Curve, x, y *big.Int) (string, error) {
coordLength := curveSize(curve)
......@@ -179,6 +189,10 @@ func ecThumbprintInput(curve elliptic.Curve, x, y *big.Int) (string, error) {
return "", err
}
if len(x.Bytes()) > coordLength || len(y.Bytes()) > coordLength {
return "", errors.New("square/go-jose: invalid elliptic key (too large)")
}
return fmt.Sprintf(ecThumbprintTemplate, crv,
newFixedSizeBuffer(x.Bytes(), coordLength).base64(),
newFixedSizeBuffer(y.Bytes(), coordLength).base64()), nil
......@@ -190,12 +204,23 @@ func rsaThumbprintInput(n *big.Int, e int) (string, error) {
newBuffer(n.Bytes()).base64()), nil
}
func edThumbprintInput(ed ed25519.PublicKey) (string, error) {
crv := "Ed25519"
if len(ed) > 32 {
return "", errors.New("square/go-jose: invalid elliptic key (too large)")
}
return fmt.Sprintf(edThumbprintTemplate, crv,
newFixedSizeBuffer(ed, 32).base64()), nil
}
// Thumbprint computes the JWK Thumbprint of a key using the
// indicated hash algorithm.
func (k *JSONWebKey) Thumbprint(hash crypto.Hash) ([]byte, error) {
var input string
var err error
switch key := k.Key.(type) {
case ed25519.PublicKey:
input, err = edThumbprintInput(key)
case *ecdsa.PublicKey:
input, err = ecThumbprintInput(key.Curve, key.X, key.Y)
case *ecdsa.PrivateKey:
......@@ -204,6 +229,8 @@ func (k *JSONWebKey) Thumbprint(hash crypto.Hash) ([]byte, error) {
input, err = rsaThumbprintInput(key.N, key.E)
case *rsa.PrivateKey:
input, err = rsaThumbprintInput(key.N, key.E)
case ed25519.PrivateKey:
input, err = edThumbprintInput(ed25519.PublicKey(key[0:32]))
default:
return nil, fmt.Errorf("square/go-jose: unknown key type '%s'", reflect.TypeOf(key))
}
......@@ -220,13 +247,32 @@ func (k *JSONWebKey) Thumbprint(hash crypto.Hash) ([]byte, error) {
// IsPublic returns true if the JWK represents a public key (not symmetric, not private).
func (k *JSONWebKey) IsPublic() bool {
switch k.Key.(type) {
case *ecdsa.PublicKey, *rsa.PublicKey:
case *ecdsa.PublicKey, *rsa.PublicKey, ed25519.PublicKey:
return true
default:
return false
}
}
// Public creates JSONWebKey with corresponding publik key if JWK represents asymmetric private key.
func (k *JSONWebKey) Public() JSONWebKey {
if k.IsPublic() {
return *k
}
ret := *k
switch key := k.Key.(type) {
case *ecdsa.PrivateKey:
ret.Key = key.Public()
case *rsa.PrivateKey:
ret.Key = key.Public()
case ed25519.PrivateKey:
ret.Key = key.Public()
default:
return JSONWebKey{} // returning invalid key
}
return ret
}
// Valid checks that the key contains the expected parameters.
func (k *JSONWebKey) Valid() bool {
if k.Key == nil {
......@@ -249,6 +295,14 @@ func (k *JSONWebKey) Valid() bool {
if key.N == nil || key.E == 0 || key.D == nil || len(key.Primes) < 2 {
return false
}
case ed25519.PublicKey:
if len(key) != 32 {
return false
}
case ed25519.PrivateKey:
if len(key) != 64 {
return false
}
default:
return false
}
......@@ -266,6 +320,14 @@ func (key rawJSONWebKey) rsaPublicKey() (*rsa.PublicKey, error) {
}, nil
}
func fromEdPublicKey(pub ed25519.PublicKey) *rawJSONWebKey {
return &rawJSONWebKey{
Kty: "OKP",
Crv: "Ed25519",
X: newBuffer(pub),
}
}
func fromRsaPublicKey(pub *rsa.PublicKey) *rawJSONWebKey {
return &rawJSONWebKey{
Kty: "RSA",
......@@ -334,6 +396,36 @@ func fromEcPublicKey(pub *ecdsa.PublicKey) (*rawJSONWebKey, error) {
return key, nil
}
func (key rawJSONWebKey) edPrivateKey() (ed25519.PrivateKey, error) {
var missing []string
switch {
case key.D == nil:
missing = append(missing, "D")
case key.X == nil:
missing = append(missing, "X")
}
if len(missing) > 0 {
return nil, fmt.Errorf("square/go-jose: invalid Ed25519 private key, missing %s value(s)", strings.Join(missing, ", "))
}
privateKey := make([]byte, ed25519.PrivateKeySize)
copy(privateKey[0:32], key.X.bytes())
copy(privateKey[32:], key.D.bytes())
rv := ed25519.PrivateKey(privateKey)
return rv, nil
}
func (key rawJSONWebKey) edPublicKey() (ed25519.PublicKey, error) {
if key.X == nil {
return nil, fmt.Errorf("square/go-jose: invalid Ed key, missing x value")
}
publicKey := make([]byte, ed25519.PublicKeySize)
copy(publicKey[0:32], key.X.bytes())
rv := ed25519.PublicKey(publicKey)
return rv, nil
}
func (key rawJSONWebKey) rsaPrivateKey() (*rsa.PrivateKey, error) {
var missing []string
switch {
......@@ -379,6 +471,13 @@ func (key rawJSONWebKey) rsaPrivateKey() (*rsa.PrivateKey, error) {
return rv, err
}
func fromEdPrivateKey(ed ed25519.PrivateKey) (*rawJSONWebKey, error) {
raw := fromEdPublicKey(ed25519.PublicKey(ed[0:32]))
raw.D = newBuffer(ed[32:])
return raw, nil
}
func fromRsaPrivateKey(rsa *rsa.PrivateKey) (*rawJSONWebKey, error) {
if len(rsa.Primes) != 2 {
return nil, ErrUnsupportedKeyType
......
......@@ -52,9 +52,20 @@ type JSONWebSignature struct {
// Signature represents a single signature over the JWS payload and protected header.
type Signature struct {
// Header fields, such as the signature algorithm
// Merged header fields. Contains both protected and unprotected header
// values. Prefer using Protected and Unprotected fields instead of this.
// Values in this header may or may not have been signed and in general
// should not be trusted.
Header Header
// Protected header. Values in this header were signed and
// will be verified as part of the signature verification process.
Protected Header
// Unprotected header. Values in this header were not signed
// and in general should not be trusted.
Unprotected Header
// The actual signature value
Signature []byte
......@@ -82,7 +93,7 @@ func (sig Signature) mergedHeaders() rawHeader {
}
// Compute data to be signed
func (obj JSONWebSignature) computeAuthData(signature *Signature) []byte {
func (obj JSONWebSignature) computeAuthData(payload []byte, signature *Signature) []byte {
var serializedProtected string
if signature.original != nil && signature.original.Protected != nil {
......@@ -95,7 +106,7 @@ func (obj JSONWebSignature) computeAuthData(signature *Signature) []byte {
return []byte(fmt.Sprintf("%s.%s",
serializedProtected,
base64.RawURLEncoding.EncodeToString(obj.payload)))
base64.RawURLEncoding.EncodeToString(payload)))
}
// parseSignedFull parses a message in full format.
......@@ -132,7 +143,7 @@ func (parsed *rawJSONWebSignature) sanitized() (*JSONWebSignature, error) {
}
// Check that there is not a nonce in the unprotected header
if parsed.Header != nil && parsed.Header.Nonce != "" {
if parsed.Header != nil && parsed.Header.getNonce() != "" {
return nil, ErrUnprotectedNonce
}
......@@ -153,7 +164,25 @@ func (parsed *rawJSONWebSignature) sanitized() (*JSONWebSignature, error) {
Signature: parsed.Signature,
}
signature.Header = signature.mergedHeaders().sanitized()
var err error
signature.Header, err = signature.mergedHeaders().sanitized()
if err != nil {
return nil, err
}
if signature.header != nil {
signature.Unprotected, err = signature.header.sanitized()
if err != nil {
return nil, err
}
}
if signature.protected != nil {
signature.Protected, err = signature.protected.sanitized()
if err != nil {
return nil, err
}
}
// As per RFC 7515 Section 4.1.3, only public keys are allowed to be embedded.
jwk := signature.Header.JSONWebKey
......@@ -174,11 +203,30 @@ func (parsed *rawJSONWebSignature) sanitized() (*JSONWebSignature, error) {
}
// Check that there is not a nonce in the unprotected header
if sig.Header != nil && sig.Header.Nonce != "" {
if sig.Header != nil && sig.Header.getNonce() != "" {
return nil, ErrUnprotectedNonce
}
obj.Signatures[i].Header = obj.Signatures[i].mergedHeaders().sanitized()
var err error
obj.Signatures[i].Header, err = obj.Signatures[i].mergedHeaders().sanitized()
if err != nil {
return nil, err
}
if obj.Signatures[i].header != nil {
obj.Signatures[i].Unprotected, err = obj.Signatures[i].header.sanitized()
if err != nil {
return nil, err
}
}
if obj.Signatures[i].protected != nil {
obj.Signatures[i].Protected, err = obj.Signatures[i].protected.sanitized()
if err != nil {
return nil, err
}
}
obj.Signatures[i].Signature = sig.Signature.bytes()
// As per RFC 7515 Section 4.1.3, only public keys are allowed to be embedded.
......
/*-
* Copyright 2018 Square Inc.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package jose
// OpaqueSigner is an interface that supports signing payloads with opaque
// private key(s). Private key operations preformed by implementors may, for
// example, occur in a hardware module. An OpaqueSigner may rotate signing keys
// transparently to the user of this interface.
type OpaqueSigner interface {
// Public returns the public key of the current signing key.
Public() *JSONWebKey
// Algs returns a list of supported signing algorithms.
Algs() []SignatureAlgorithm
// SignPayload signs a payload with the current signing key using the given
// algorithm.
SignPayload(payload []byte, alg SignatureAlgorithm) ([]byte, error)
}
type opaqueSigner struct {
signer OpaqueSigner
}
func newOpaqueSigner(alg SignatureAlgorithm, signer OpaqueSigner) (recipientSigInfo, error) {
var algSupported bool
for _, salg := range signer.Algs() {
if alg == salg {
algSupported = true
break
}
}
if !algSupported {
return recipientSigInfo{}, ErrUnsupportedAlgorithm
}
return recipientSigInfo{
sigAlg: alg,
publicKey: signer.Public,
signer: &opaqueSigner{
signer: signer,
},
}, nil
}
func (o *opaqueSigner) signPayload(payload []byte, alg SignatureAlgorithm) (Signature, error) {
out, err := o.signer.SignPayload(payload, alg)
if err != nil {
return Signature{}, err
}
return Signature{
Signature: out,
protected: &rawHeader{},
}, nil
}
// OpaqueVerifier is an interface that supports verifying payloads with opaque
// public key(s). An OpaqueSigner may rotate signing keys transparently to the
// user of this interface.
type OpaqueVerifier interface {
VerifyPayload(payload []byte, signature []byte, alg SignatureAlgorithm) error
}
type opaqueVerifier struct {
verifier OpaqueVerifier
}
func (o *opaqueVerifier) verifyPayload(payload []byte, signature []byte, alg SignatureAlgorithm) error {
return o.verifier.VerifyPayload(payload, signature, alg)
}
......@@ -18,8 +18,12 @@ package jose
import (
"crypto/elliptic"
"crypto/x509"
"encoding/base64"
"errors"
"fmt"
"gopkg.in/square/go-jose.v2/json"
)
// KeyAlgorithm represents a key management algorithm.
......@@ -34,6 +38,9 @@ type ContentEncryption string
// CompressionAlgorithm represents an algorithm used for plaintext compression.
type CompressionAlgorithm string
// ContentType represents type of the contained data.
type ContentType string
var (
// ErrCryptoFailure represents an error in cryptographic primitive. This
// occurs when, for example, a message had an invalid authentication tag or
......@@ -63,6 +70,7 @@ var (
// Key management algorithms
const (
ED25519 = KeyAlgorithm("ED25519")
RSA1_5 = KeyAlgorithm("RSA1_5") // RSA-PKCS1v1.5
RSA_OAEP = KeyAlgorithm("RSA-OAEP") // RSA-OAEP-SHA1
RSA_OAEP_256 = KeyAlgorithm("RSA-OAEP-256") // RSA-OAEP-SHA256
......@@ -84,6 +92,7 @@ const (
// Signature algorithms
const (
EdDSA = SignatureAlgorithm("EdDSA")
HS256 = SignatureAlgorithm("HS256") // HMAC using SHA-256
HS384 = SignatureAlgorithm("HS384") // HMAC using SHA-384
HS512 = SignatureAlgorithm("HS512") // HMAC using SHA-512
......@@ -114,21 +123,44 @@ const (
DEFLATE = CompressionAlgorithm("DEF") // DEFLATE (RFC 1951)
)
// A key in the protected header of a JWS object. Use of the Header...
// constants is preferred to enhance type safety.
type HeaderKey string
const (
HeaderType HeaderKey = "typ" // string
HeaderContentType = "cty" // string
// These are set by go-jose and shouldn't need to be set by consumers of the
// library.
headerAlgorithm = "alg" // string
headerEncryption = "enc" // ContentEncryption
headerCompression = "zip" // CompressionAlgorithm
headerCritical = "crit" // []string
headerAPU = "apu" // *byteBuffer
headerAPV = "apv" // *byteBuffer
headerEPK = "epk" // *JSONWebKey
headerIV = "iv" // *byteBuffer
headerTag = "tag" // *byteBuffer
headerX5c = "x5c" // []*x509.Certificate
headerJWK = "jwk" // *JSONWebKey
headerKeyID = "kid" // string
headerNonce = "nonce" // string
headerP2C = "p2c" // *byteBuffer (int)
headerP2S = "p2s" // *byteBuffer ([]byte)
)
// rawHeader represents the JOSE header for JWE/JWS objects (used for parsing).
type rawHeader struct {
Alg string `json:"alg,omitempty"`
Enc ContentEncryption `json:"enc,omitempty"`
Zip CompressionAlgorithm `json:"zip,omitempty"`
Crit []string `json:"crit,omitempty"`
Apu *byteBuffer `json:"apu,omitempty"`
Apv *byteBuffer `json:"apv,omitempty"`
Epk *JSONWebKey `json:"epk,omitempty"`
Iv *byteBuffer `json:"iv,omitempty"`
Tag *byteBuffer `json:"tag,omitempty"`
Jwk *JSONWebKey `json:"jwk,omitempty"`
Kid string `json:"kid,omitempty"`
Nonce string `json:"nonce,omitempty"`
}
//
// The decoding of the constituent items is deferred because we want to marshal
// some members into particular structs rather than generic maps, but at the
// same time we need to receive any extra fields unhandled by this library to
// pass through to consuming code in case it wants to examine them.
type rawHeader map[HeaderKey]*json.RawMessage
// Header represents the read-only JOSE header for JWE/JWS objects.
type Header struct {
......@@ -136,62 +168,295 @@ type Header struct {
JSONWebKey *JSONWebKey
Algorithm string
Nonce string
// Unverified certificate chain parsed from x5c header.
certificates []*x509.Certificate
// Any headers not recognised above get unmarshaled
// from JSON in a generic manner and placed in this map.
ExtraHeaders map[HeaderKey]interface{}
}
// sanitized produces a cleaned-up header object from the raw JSON.
func (parsed rawHeader) sanitized() Header {
return Header{
KeyID: parsed.Kid,
JSONWebKey: parsed.Jwk,
Algorithm: parsed.Alg,
Nonce: parsed.Nonce,
// Certificates verifies & returns the certificate chain present
// in the x5c header field of a message, if one was present. Returns
// an error if there was no x5c header present or the chain could
// not be validated with the given verify options.
func (h Header) Certificates(opts x509.VerifyOptions) ([][]*x509.Certificate, error) {
if len(h.certificates) == 0 {
return nil, errors.New("square/go-jose: no x5c header present in message")
}
leaf := h.certificates[0]
if opts.Intermediates == nil {
opts.Intermediates = x509.NewCertPool()
for _, intermediate := range h.certificates[1:] {
opts.Intermediates.AddCert(intermediate)
}
}
return leaf.Verify(opts)
}
// Merge headers from src into dst, giving precedence to headers from l.
func (dst *rawHeader) merge(src *rawHeader) {
if src == nil {
return
func (parsed rawHeader) set(k HeaderKey, v interface{}) error {
b, err := json.Marshal(v)
if err != nil {
return err
}
if dst.Alg == "" {
dst.Alg = src.Alg
parsed[k] = makeRawMessage(b)
return nil
}
// getString gets a string from the raw JSON, defaulting to "".
func (parsed rawHeader) getString(k HeaderKey) string {
v, ok := parsed[k]
if !ok || v == nil {
return ""
}
if dst.Enc == "" {
dst.Enc = src.Enc
var s string
err := json.Unmarshal(*v, &s)
if err != nil {
return ""
}
if dst.Zip == "" {
dst.Zip = src.Zip
return s
}
// getByteBuffer gets a byte buffer from the raw JSON. Returns (nil, nil) if
// not specified.
func (parsed rawHeader) getByteBuffer(k HeaderKey) (*byteBuffer, error) {
v := parsed[k]
if v == nil {
return nil, nil
}
if dst.Crit == nil {
dst.Crit = src.Crit
var bb *byteBuffer
err := json.Unmarshal(*v, &bb)
if err != nil {
return nil, err
}
if dst.Crit == nil {
dst.Crit = src.Crit
return bb, nil
}
// getAlgorithm extracts parsed "alg" from the raw JSON as a KeyAlgorithm.
func (parsed rawHeader) getAlgorithm() KeyAlgorithm {
return KeyAlgorithm(parsed.getString(headerAlgorithm))
}
// getSignatureAlgorithm extracts parsed "alg" from the raw JSON as a SignatureAlgorithm.
func (parsed rawHeader) getSignatureAlgorithm() SignatureAlgorithm {
return SignatureAlgorithm(parsed.getString(headerAlgorithm))
}
// getEncryption extracts parsed "enc" from the raw JSON.
func (parsed rawHeader) getEncryption() ContentEncryption {
return ContentEncryption(parsed.getString(headerEncryption))
}
// getCompression extracts parsed "zip" from the raw JSON.
func (parsed rawHeader) getCompression() CompressionAlgorithm {
return CompressionAlgorithm(parsed.getString(headerCompression))
}
func (parsed rawHeader) getNonce() string {
return parsed.getString(headerNonce)
}
// getEPK extracts parsed "epk" from the raw JSON.
func (parsed rawHeader) getEPK() (*JSONWebKey, error) {
v := parsed[headerEPK]
if v == nil {
return nil, nil
}
if dst.Apu == nil {
dst.Apu = src.Apu
var epk *JSONWebKey
err := json.Unmarshal(*v, &epk)
if err != nil {
return nil, err
}
if dst.Apv == nil {
dst.Apv = src.Apv
return epk, nil
}
// getAPU extracts parsed "apu" from the raw JSON.
func (parsed rawHeader) getAPU() (*byteBuffer, error) {
return parsed.getByteBuffer(headerAPU)
}
// getAPV extracts parsed "apv" from the raw JSON.
func (parsed rawHeader) getAPV() (*byteBuffer, error) {
return parsed.getByteBuffer(headerAPV)
}
// getIV extracts parsed "iv" frpom the raw JSON.
func (parsed rawHeader) getIV() (*byteBuffer, error) {
return parsed.getByteBuffer(headerIV)
}
// getTag extracts parsed "tag" frpom the raw JSON.
func (parsed rawHeader) getTag() (*byteBuffer, error) {
return parsed.getByteBuffer(headerTag)
}
// getJWK extracts parsed "jwk" from the raw JSON.
func (parsed rawHeader) getJWK() (*JSONWebKey, error) {
v := parsed[headerJWK]
if v == nil {
return nil, nil
}
if dst.Epk == nil {
dst.Epk = src.Epk
var jwk *JSONWebKey
err := json.Unmarshal(*v, &jwk)
if err != nil {
return nil, err
}
if dst.Iv == nil {
dst.Iv = src.Iv
return jwk, nil
}
// getCritical extracts parsed "crit" from the raw JSON. If omitted, it
// returns an empty slice.
func (parsed rawHeader) getCritical() ([]string, error) {
v := parsed[headerCritical]
if v == nil {
return nil, nil
}
if dst.Tag == nil {
dst.Tag = src.Tag
var q []string
err := json.Unmarshal(*v, &q)
if err != nil {
return nil, err
}
if dst.Kid == "" {
dst.Kid = src.Kid
return q, nil
}
// getS2C extracts parsed "p2c" from the raw JSON.
func (parsed rawHeader) getP2C() (int, error) {
v := parsed[headerP2C]
if v == nil {
return 0, nil
}
var p2c int
err := json.Unmarshal(*v, &p2c)
if err != nil {
return 0, err
}
return p2c, nil
}
// getS2S extracts parsed "p2s" from the raw JSON.
func (parsed rawHeader) getP2S() (*byteBuffer, error) {
return parsed.getByteBuffer(headerP2S)
}
// sanitized produces a cleaned-up header object from the raw JSON.
func (parsed rawHeader) sanitized() (h Header, err error) {
for k, v := range parsed {
if v == nil {
continue
}
switch k {
case headerJWK:
var jwk *JSONWebKey
err = json.Unmarshal(*v, &jwk)
if err != nil {
err = fmt.Errorf("failed to unmarshal JWK: %v: %#v", err, string(*v))
return
}
h.JSONWebKey = jwk
case headerKeyID:
var s string
err = json.Unmarshal(*v, &s)
if err != nil {
err = fmt.Errorf("failed to unmarshal key ID: %v: %#v", err, string(*v))
return
}
if dst.Jwk == nil {
dst.Jwk = src.Jwk
h.KeyID = s
case headerAlgorithm:
var s string
err = json.Unmarshal(*v, &s)
if err != nil {
err = fmt.Errorf("failed to unmarshal algorithm: %v: %#v", err, string(*v))
return
}
h.Algorithm = s
case headerNonce:
var s string
err = json.Unmarshal(*v, &s)
if err != nil {
err = fmt.Errorf("failed to unmarshal nonce: %v: %#v", err, string(*v))
return
}
if dst.Nonce == "" {
dst.Nonce = src.Nonce
h.Nonce = s
case headerX5c:
c := []string{}
err = json.Unmarshal(*v, &c)
if err != nil {
err = fmt.Errorf("failed to unmarshal x5c header: %v: %#v", err, string(*v))
return
}
h.certificates, err = parseCertificateChain(c)
if err != nil {
err = fmt.Errorf("failed to unmarshal x5c header: %v: %#v", err, string(*v))
return
}
default:
if h.ExtraHeaders == nil {
h.ExtraHeaders = map[HeaderKey]interface{}{}
}
var v2 interface{}
err = json.Unmarshal(*v, &v2)
if err != nil {
err = fmt.Errorf("failed to unmarshal value: %v: %#v", err, string(*v))
return
}
h.ExtraHeaders[k] = v2
}
}
return
}
func parseCertificateChain(chain []string) ([]*x509.Certificate, error) {
out := make([]*x509.Certificate, len(chain))
for i, cert := range chain {
raw, err := base64.StdEncoding.DecodeString(cert)
if err != nil {
return nil, err
}
out[i], err = x509.ParseCertificate(raw)
if err != nil {
return nil, err
}
}
return out, nil
}
func (dst rawHeader) isSet(k HeaderKey) bool {
dvr := dst[k]
if dvr == nil {
return false
}
var dv interface{}
err := json.Unmarshal(*dvr, &dv)
if err != nil {
return true
}
if dvStr, ok := dv.(string); ok {
return dvStr != ""
}
return true
}
// Merge headers from src into dst, giving precedence to headers from l.
func (dst rawHeader) merge(src *rawHeader) {
if src == nil {
return
}
for k, v := range *src {
if dst.isSet(k) {
continue
}
dst[k] = v
}
}
......@@ -222,3 +487,8 @@ func curveSize(crv elliptic.Curve) int {
return div + 1
}
func makeRawMessage(b []byte) *json.RawMessage {
rm := json.RawMessage(b)
return &rm
}
......@@ -22,6 +22,10 @@ import (
"encoding/base64"
"errors"
"fmt"
"golang.org/x/crypto/ed25519"
"gopkg.in/square/go-jose.v2/json"
)
// NonceSource represents a source of random nonces to go into JWS objects
......@@ -32,6 +36,7 @@ type NonceSource interface {
// Signer represents a signer which takes a payload and produces a signed JWS object.
type Signer interface {
Sign(payload []byte) (*JSONWebSignature, error)
Options() SignerOptions
}
// SigningKey represents an algorithm/key used to sign a message.
......@@ -44,6 +49,32 @@ type SigningKey struct {
type SignerOptions struct {
NonceSource NonceSource
EmbedJWK bool
// Optional map of additional keys to be inserted into the protected header
// of a JWS object. Some specifications which make use of JWS like to insert
// additional values here. All values must be JSON-serializable.
ExtraHeaders map[HeaderKey]interface{}
}
// WithHeader adds an arbitrary value to the ExtraHeaders map, initializing it
// if necessary. It returns itself and so can be used in a fluent style.
func (so *SignerOptions) WithHeader(k HeaderKey, v interface{}) *SignerOptions {
if so.ExtraHeaders == nil {
so.ExtraHeaders = map[HeaderKey]interface{}{}
}
so.ExtraHeaders[k] = v
return so
}
// WithContentType adds a content type ("cty") header and returns the updated
// SignerOptions.
func (so *SignerOptions) WithContentType(contentType ContentType) *SignerOptions {
return so.WithHeader(HeaderContentType, contentType)
}
// WithType adds a type ("typ") header and returns the updated SignerOptions.
func (so *SignerOptions) WithType(typ ContentType) *SignerOptions {
return so.WithHeader(HeaderType, typ)
}
type payloadSigner interface {
......@@ -58,14 +89,21 @@ type genericSigner struct {
recipients []recipientSigInfo
nonceSource NonceSource
embedJWK bool
extraHeaders map[HeaderKey]interface{}
}
type recipientSigInfo struct {
sigAlg SignatureAlgorithm
publicKey *JSONWebKey
publicKey func() *JSONWebKey
signer payloadSigner
}
func staticPublicKey(jwk *JSONWebKey) func() *JSONWebKey {
return func() *JSONWebKey {
return jwk
}
}
// NewSigner creates an appropriate signer based on the key type
func NewSigner(sig SigningKey, opts *SignerOptions) (Signer, error) {
return NewMultiSigner([]SigningKey{sig}, opts)
......@@ -78,6 +116,7 @@ func NewMultiSigner(sigs []SigningKey, opts *SignerOptions) (Signer, error) {
if opts != nil {
signer.nonceSource = opts.NonceSource
signer.embedJWK = opts.EmbedJWK
signer.extraHeaders = opts.ExtraHeaders
}
for _, sig := range sigs {
......@@ -93,6 +132,10 @@ func NewMultiSigner(sigs []SigningKey, opts *SignerOptions) (Signer, error) {
// newVerifier creates a verifier based on the key type
func newVerifier(verificationKey interface{}) (payloadVerifier, error) {
switch verificationKey := verificationKey.(type) {
case ed25519.PublicKey:
return &edEncrypterVerifier{
publicKey: verificationKey,
}, nil
case *rsa.PublicKey:
return &rsaEncrypterVerifier{
publicKey: verificationKey,
......@@ -105,11 +148,15 @@ func newVerifier(verificationKey interface{}) (payloadVerifier, error) {
return &symmetricMac{
key: verificationKey,
}, nil
case JSONWebKey:
return newVerifier(verificationKey.Key)
case *JSONWebKey:
return newVerifier(verificationKey.Key)
default:
return nil, ErrUnsupportedKeyType
}
if ov, ok := verificationKey.(OpaqueVerifier); ok {
return &opaqueVerifier{verifier: ov}, nil
}
return nil, ErrUnsupportedKeyType
}
func (ctx *genericSigner) addRecipient(alg SignatureAlgorithm, signingKey interface{}) error {
......@@ -124,22 +171,44 @@ func (ctx *genericSigner) addRecipient(alg SignatureAlgorithm, signingKey interf
func makeJWSRecipient(alg SignatureAlgorithm, signingKey interface{}) (recipientSigInfo, error) {
switch signingKey := signingKey.(type) {
case ed25519.PrivateKey:
return newEd25519Signer(alg, signingKey)
case *rsa.PrivateKey:
return newRSASigner(alg, signingKey)
case *ecdsa.PrivateKey:
return newECDSASigner(alg, signingKey)
case []byte:
return newSymmetricSigner(alg, signingKey)
case JSONWebKey:
return newJWKSigner(alg, signingKey)
case *JSONWebKey:
return newJWKSigner(alg, *signingKey)
}
if signer, ok := signingKey.(OpaqueSigner); ok {
return newOpaqueSigner(alg, signer)
}
return recipientSigInfo{}, ErrUnsupportedKeyType
}
func newJWKSigner(alg SignatureAlgorithm, signingKey JSONWebKey) (recipientSigInfo, error) {
recipient, err := makeJWSRecipient(alg, signingKey.Key)
if err != nil {
return recipientSigInfo{}, err
}
recipient.publicKey.KeyID = signingKey.KeyID
return recipient, nil
default:
return recipientSigInfo{}, ErrUnsupportedKeyType
if recipient.publicKey != nil && recipient.publicKey() != nil {
// recipient.publicKey is a JWK synthesized for embedding when recipientSigInfo
// was created for the inner key (such as a RSA or ECDSA public key). It contains
// the pub key for embedding, but doesn't have extra params like key id.
publicKey := signingKey
publicKey.Key = recipient.publicKey().Key
recipient.publicKey = staticPublicKey(&publicKey)
// This should be impossible, but let's check anyway.
if !recipient.publicKey().IsPublic() {
return recipientSigInfo{}, errors.New("square/go-jose: public key was unexpectedly not public")
}
}
return recipient, nil
}
func (ctx *genericSigner) Sign(payload []byte) (*JSONWebSignature, error) {
......@@ -148,15 +217,24 @@ func (ctx *genericSigner) Sign(payload []byte) (*JSONWebSignature, error) {
obj.Signatures = make([]Signature, len(ctx.recipients))
for i, recipient := range ctx.recipients {
protected := &rawHeader{
Alg: string(recipient.sigAlg),
protected := map[HeaderKey]interface{}{
headerAlgorithm: string(recipient.sigAlg),
}
if recipient.publicKey != nil {
if recipient.publicKey != nil && recipient.publicKey() != nil {
// We want to embed the JWK or set the kid header, but not both. Having a protected
// header that contains an embedded JWK while also simultaneously containing the kid
// header is confusing, and at least in ACME the two are considered to be mutually
// exclusive. The fact that both can exist at the same time is a somewhat unfortunate
// result of the JOSE spec. We've decided that this library will only include one or
// the other to avoid this confusion.
//
// See https://github.com/square/go-jose/issues/157 for more context.
if ctx.embedJWK {
protected.Jwk = recipient.publicKey
protected[headerJWK] = recipient.publicKey()
} else {
protected[headerKeyID] = recipient.publicKey().KeyID
}
protected.Kid = recipient.publicKey.KeyID
}
if ctx.nonceSource != nil {
......@@ -164,7 +242,11 @@ func (ctx *genericSigner) Sign(payload []byte) (*JSONWebSignature, error) {
if err != nil {
return nil, fmt.Errorf("square/go-jose: Error generating nonce: %v", err)
}
protected.Nonce = nonce
protected[headerNonce] = nonce
}
for k, v := range ctx.extraHeaders {
protected[k] = v
}
serializedProtected := mustSerializeJSON(protected)
......@@ -178,13 +260,28 @@ func (ctx *genericSigner) Sign(payload []byte) (*JSONWebSignature, error) {
return nil, err
}
signatureInfo.protected = protected
signatureInfo.protected = &rawHeader{}
for k, v := range protected {
b, err := json.Marshal(v)
if err != nil {
return nil, fmt.Errorf("square/go-jose: Error marshalling item %#v: %v", k, err)
}
(*signatureInfo.protected)[k] = makeRawMessage(b)
}
obj.Signatures[i] = signatureInfo
}
return obj, nil
}
func (ctx *genericSigner) Options() SignerOptions {
return SignerOptions{
NonceSource: ctx.nonceSource,
EmbedJWK: ctx.embedJWK,
ExtraHeaders: ctx.extraHeaders,
}
}
// Verify validates the signature on the object and returns the payload.
// This function does not support multi-signature, if you desire multi-sig
// verification use VerifyMulti instead.
......@@ -193,30 +290,53 @@ func (ctx *genericSigner) Sign(payload []byte) (*JSONWebSignature, error) {
// payload header. You cannot assume that the key received in a payload is
// trusted.
func (obj JSONWebSignature) Verify(verificationKey interface{}) ([]byte, error) {
verifier, err := newVerifier(verificationKey)
err := obj.DetachedVerify(obj.payload, verificationKey)
if err != nil {
return nil, err
}
return obj.payload, nil
}
// UnsafePayloadWithoutVerification returns the payload without
// verifying it. The content returned from this function cannot be
// trusted.
func (obj JSONWebSignature) UnsafePayloadWithoutVerification() []byte {
return obj.payload
}
// DetachedVerify validates a detached signature on the given payload. In
// most cases, you will probably want to use Verify instead. DetachedVerify
// is only useful if you have a payload and signature that are separated from
// each other.
func (obj JSONWebSignature) DetachedVerify(payload []byte, verificationKey interface{}) error {
verifier, err := newVerifier(verificationKey)
if err != nil {
return err
}
if len(obj.Signatures) > 1 {
return nil, errors.New("square/go-jose: too many signatures in payload; expecting only one")
return errors.New("square/go-jose: too many signatures in payload; expecting only one")
}
signature := obj.Signatures[0]
headers := signature.mergedHeaders()
if len(headers.Crit) > 0 {
critical, err := headers.getCritical()
if err != nil {
return err
}
if len(critical) > 0 {
// Unsupported crit header
return nil, ErrCryptoFailure
return ErrCryptoFailure
}
input := obj.computeAuthData(&signature)
alg := SignatureAlgorithm(headers.Alg)
input := obj.computeAuthData(payload, &signature)
alg := headers.getSignatureAlgorithm()
err = verifier.verifyPayload(input, signature.Signature, alg)
if err == nil {
return obj.payload, nil
return nil
}
return nil, ErrCryptoFailure
return ErrCryptoFailure
}
// VerifyMulti validates (one of the multiple) signatures on the object and
......@@ -224,25 +344,46 @@ func (obj JSONWebSignature) Verify(verificationKey interface{}) ([]byte, error)
// object and the payload. We return the signature and index to guarantee that
// callers are getting the verified value.
func (obj JSONWebSignature) VerifyMulti(verificationKey interface{}) (int, Signature, []byte, error) {
verifier, err := newVerifier(verificationKey)
idx, sig, err := obj.DetachedVerifyMulti(obj.payload, verificationKey)
if err != nil {
return -1, Signature{}, nil, err
}
return idx, sig, obj.payload, nil
}
// DetachedVerifyMulti validates a detached signature on the given payload with
// a signature/object that has potentially multiple signers. This returns the index
// of the signature that was verified, along with the signature object. We return
// the signature and index to guarantee that callers are getting the verified value.
//
// In most cases, you will probably want to use Verify or VerifyMulti instead.
// DetachedVerifyMulti is only useful if you have a payload and signature that are
// separated from each other, and the signature can have multiple signers at the
// same time.
func (obj JSONWebSignature) DetachedVerifyMulti(payload []byte, verificationKey interface{}) (int, Signature, error) {
verifier, err := newVerifier(verificationKey)
if err != nil {
return -1, Signature{}, err
}
for i, signature := range obj.Signatures {
headers := signature.mergedHeaders()
if len(headers.Crit) > 0 {
critical, err := headers.getCritical()
if err != nil {
continue
}
if len(critical) > 0 {
// Unsupported crit header
continue
}
input := obj.computeAuthData(&signature)
alg := SignatureAlgorithm(headers.Alg)
err := verifier.verifyPayload(input, signature.Signature, alg)
input := obj.computeAuthData(payload, &signature)
alg := headers.getSignatureAlgorithm()
err = verifier.verifyPayload(input, signature.Signature, alg)
if err == nil {
return i, signature, obj.payload, nil
return i, signature, nil
}
}
return -1, Signature{}, nil, ErrCryptoFailure
return -1, Signature{}, ErrCryptoFailure
}
......@@ -17,6 +17,7 @@
package jose
import (
"bytes"
"crypto/aes"
"crypto/cipher"
"crypto/hmac"
......@@ -25,18 +26,34 @@ import (
"crypto/sha512"
"crypto/subtle"
"errors"
"fmt"
"hash"
"io"
"golang.org/x/crypto/pbkdf2"
"gopkg.in/square/go-jose.v2/cipher"
)
// Random reader (stubbed out in tests)
var randReader = rand.Reader
const (
// RFC7518 recommends a minimum of 1,000 iterations:
// https://tools.ietf.org/html/rfc7518#section-4.8.1.2
// NIST recommends a minimum of 10,000:
// https://pages.nist.gov/800-63-3/sp800-63b.html
// 1Password uses 100,000:
// https://support.1password.com/pbkdf2/
defaultP2C = 100000
// Default salt size: 128 bits
defaultP2SSize = 16
)
// Dummy key cipher for shared symmetric key mode
type symmetricKeyCipher struct {
key []byte // Pre-shared content-encryption key
p2c int // PBES2 Count
p2s []byte // PBES2 Salt Input
}
// Signer/verifier for MAC modes
......@@ -113,10 +130,37 @@ func getContentCipher(alg ContentEncryption) contentCipher {
}
}
// getPbkdf2Params returns the key length and hash function used in
// pbkdf2.Key.
func getPbkdf2Params(alg KeyAlgorithm) (int, func() hash.Hash) {
switch alg {
case PBES2_HS256_A128KW:
return 16, sha256.New
case PBES2_HS384_A192KW:
return 24, sha512.New384
case PBES2_HS512_A256KW:
return 32, sha512.New
default:
panic("invalid algorithm")
}
}
// getRandomSalt generates a new salt of the given size.
func getRandomSalt(size int) ([]byte, error) {
salt := make([]byte, size)
_, err := io.ReadFull(randReader, salt)
if err != nil {
return nil, err
}
return salt, nil
}
// newSymmetricRecipient creates a JWE encrypter based on AES-GCM key wrap.
func newSymmetricRecipient(keyAlg KeyAlgorithm, key []byte) (recipientKeyInfo, error) {
switch keyAlg {
case DIRECT, A128GCMKW, A192GCMKW, A256GCMKW, A128KW, A192KW, A256KW:
case PBES2_HS256_A128KW, PBES2_HS384_A192KW, PBES2_HS512_A256KW:
default:
return recipientKeyInfo{}, ErrUnsupportedAlgorithm
}
......@@ -211,6 +255,10 @@ func (ctx aeadContentCipher) decrypt(key, aad []byte, parts *aeadParts) ([]byte,
return nil, err
}
if len(parts.iv) != aead.NonceSize() || len(parts.tag) < ctx.authtagBytes {
return nil, ErrCryptoFailure
}
return aead.Open(nil, parts.iv, append(parts.ciphertext, parts.tag...), aad)
}
......@@ -229,11 +277,12 @@ func (ctx *symmetricKeyCipher) encryptKey(cek []byte, alg KeyAlgorithm) (recipie
return recipientInfo{}, err
}
header := &rawHeader{}
header.set(headerIV, newBuffer(parts.iv))
header.set(headerTag, newBuffer(parts.tag))
return recipientInfo{
header: &rawHeader{
Iv: newBuffer(parts.iv),
Tag: newBuffer(parts.tag),
},
header: header,
encryptedKey: parts.ciphertext,
}, nil
case A128KW, A192KW, A256KW:
......@@ -251,6 +300,45 @@ func (ctx *symmetricKeyCipher) encryptKey(cek []byte, alg KeyAlgorithm) (recipie
encryptedKey: jek,
header: &rawHeader{},
}, nil
case PBES2_HS256_A128KW, PBES2_HS384_A192KW, PBES2_HS512_A256KW:
if len(ctx.p2s) == 0 {
salt, err := getRandomSalt(defaultP2SSize)
if err != nil {
return recipientInfo{}, err
}
ctx.p2s = salt
}
if ctx.p2c <= 0 {
ctx.p2c = defaultP2C
}
// salt is UTF8(Alg) || 0x00 || Salt Input
salt := bytes.Join([][]byte{[]byte(alg), ctx.p2s}, []byte{0x00})
// derive key
keyLen, h := getPbkdf2Params(alg)
key := pbkdf2.Key(ctx.key, salt, ctx.p2c, keyLen, h)
// use AES cipher with derived key
block, err := aes.NewCipher(key)
if err != nil {
return recipientInfo{}, err
}
jek, err := josecipher.KeyWrap(block, cek)
if err != nil {
return recipientInfo{}, err
}
header := &rawHeader{}
header.set(headerP2C, ctx.p2c)
header.set(headerP2S, newBuffer(ctx.p2s))
return recipientInfo{
encryptedKey: jek,
header: header,
}, nil
}
return recipientInfo{}, ErrUnsupportedAlgorithm
......@@ -258,7 +346,7 @@ func (ctx *symmetricKeyCipher) encryptKey(cek []byte, alg KeyAlgorithm) (recipie
// Decrypt the content encryption key.
func (ctx *symmetricKeyCipher) decryptKey(headers rawHeader, recipient *recipientInfo, generator keyGenerator) ([]byte, error) {
switch KeyAlgorithm(headers.Alg) {
switch headers.getAlgorithm() {
case DIRECT:
cek := make([]byte, len(ctx.key))
copy(cek, ctx.key)
......@@ -266,10 +354,19 @@ func (ctx *symmetricKeyCipher) decryptKey(headers rawHeader, recipient *recipien
case A128GCMKW, A192GCMKW, A256GCMKW:
aead := newAESGCM(len(ctx.key))
iv, err := headers.getIV()
if err != nil {
return nil, fmt.Errorf("square/go-jose: invalid IV: %v", err)
}
tag, err := headers.getTag()
if err != nil {
return nil, fmt.Errorf("square/go-jose: invalid tag: %v", err)
}
parts := &aeadParts{
iv: headers.Iv.bytes(),
iv: iv.bytes(),
ciphertext: recipient.encryptedKey,
tag: headers.Tag.bytes(),
tag: tag.bytes(),
}
cek, err := aead.decrypt(ctx.key, []byte{}, parts)
......@@ -284,6 +381,42 @@ func (ctx *symmetricKeyCipher) decryptKey(headers rawHeader, recipient *recipien
return nil, err
}
cek, err := josecipher.KeyUnwrap(block, recipient.encryptedKey)
if err != nil {
return nil, err
}
return cek, nil
case PBES2_HS256_A128KW, PBES2_HS384_A192KW, PBES2_HS512_A256KW:
p2s, err := headers.getP2S()
if err != nil {
return nil, fmt.Errorf("square/go-jose: invalid P2S: %v", err)
}
if p2s == nil || len(p2s.data) == 0 {
return nil, fmt.Errorf("square/go-jose: invalid P2S: must be present")
}
p2c, err := headers.getP2C()
if err != nil {
return nil, fmt.Errorf("square/go-jose: invalid P2C: %v", err)
}
if p2c <= 0 {
return nil, fmt.Errorf("square/go-jose: invalid P2C: must be a positive integer")
}
// salt is UTF8(Alg) || 0x00 || Salt Input
alg := headers.getAlgorithm()
salt := bytes.Join([][]byte{[]byte(alg), p2s.bytes()}, []byte{0x00})
// derive key
keyLen, h := getPbkdf2Params(alg)
key := pbkdf2.Key(ctx.key, salt, p2c, keyLen, h)
// use AES cipher with derived key
block, err := aes.NewCipher(key)
if err != nil {
return nil, err
}
cek, err := josecipher.KeyUnwrap(block, recipient.encryptedKey)
if err != nil {
return nil, err
......
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