Merge pull request #207 from yonatankahana/cve-2022-27191

go.mod

@@ -12,6 +12,7 @@ require (
 )
 
 replace (
+	golang.org/x/crypto => golang.org/x/crypto v0.0.0-20220315160706-3147a52a75dd
 	k8s.io/api => k8s.io/api v0.23.4
 	k8s.io/apiextensions-apiserver => k8s.io/apiextensions-apiserver v0.23.4
 	k8s.io/apimachinery => k8s.io/apimachinery v0.23.4

go.sum

@@ -293,15 +293,8 @@ go.opencensus.io v0.22.3/go.mod h1:yxeiOL68Rb0Xd1ddK5vPZ/oVn4vY4Ynel7k9FzqtOIw=
 go.opencensus.io v0.22.4/go.mod h1:yxeiOL68Rb0Xd1ddK5vPZ/oVn4vY4Ynel7k9FzqtOIw=
 go.opencensus.io v0.22.5/go.mod h1:5pWMHQbX5EPX2/62yrJeAkowc+lfs/XD7Uxpq3pI6kk=
 go.opencensus.io v0.23.0/go.mod h1:XItmlyltB5F7CS4xOC1DcqMoFqwtC6OG2xF7mCv7P7E=
-golang.org/x/crypto v0.0.0-20180904163835-0709b304e793/go.mod h1:6SG95UA2DQfeDnfUPMdvaQW0Q7yPrPDi9nlGo2tz2b4=
-golang.org/x/crypto v0.0.0-20190308221718-c2843e01d9a2/go.mod h1:djNgcEr1/C05ACkg1iLfiJU5Ep61QUkGW8qpdssI0+w=
-golang.org/x/crypto v0.0.0-20190510104115-cbcb75029529/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
-golang.org/x/crypto v0.0.0-20190605123033-f99c8df09eb5/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
-golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8UmvKecakEJjdnWj3jj499lnFckfCI=
-golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
-golang.org/x/crypto v0.0.0-20201002170205-7f63de1d35b0/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
-golang.org/x/crypto v0.0.0-20210817164053-32db794688a5 h1:HWj/xjIHfjYU5nVXpTM0s39J9CbLn7Cc5a7IC5rwsMQ=
-golang.org/x/crypto v0.0.0-20210817164053-32db794688a5/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
+golang.org/x/crypto v0.0.0-20220315160706-3147a52a75dd h1:XcWmESyNjXJMLahc3mqVQJcgSTDxFxhETVlfk9uGc38=
+golang.org/x/crypto v0.0.0-20220315160706-3147a52a75dd/go.mod h1:IxCIyHEi3zRg3s0A5j5BB6A9Jmi73HwBIUl50j+osU4=
 golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
 golang.org/x/exp v0.0.0-20190306152737-a1d7652674e8/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
 golang.org/x/exp v0.0.0-20190510132918-efd6b22b2522/go.mod h1:ZjyILWgesfNpC6sMxTJOJm9Kp84zZh5NQWvqDGG3Qr8=
@@ -343,7 +336,6 @@ golang.org/x/net v0.0.0-20181114220301-adae6a3d119a/go.mod h1:mL1N/T3taQHkDXs73r
 golang.org/x/net v0.0.0-20190108225652-1e06a53dbb7e/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
 golang.org/x/net v0.0.0-20190213061140-3a22650c66bd/go.mod h1:mL1N/T3taQHkDXs73rZJwtUhF3w3ftmwwsq0BUmARs4=
 golang.org/x/net v0.0.0-20190311183353-d8887717615a/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
-golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
 golang.org/x/net v0.0.0-20190501004415-9ce7a6920f09/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
 golang.org/x/net v0.0.0-20190503192946-f4e77d36d62c/go.mod h1:t9HGtf8HONx5eT2rtn7q6eTqICYqUVnKs3thJo3Qplg=
 golang.org/x/net v0.0.0-20190603091049-60506f45cf65/go.mod h1:HSz+uSET+XFnRR8LxR5pz3Of3rY3CfYBVs4xY44aLks=
@@ -376,6 +368,7 @@ golang.org/x/net v0.0.0-20210119194325-5f4716e94777/go.mod h1:m0MpNAwzfU5UDzcl9v
 golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
 golang.org/x/net v0.0.0-20210316092652-d523dce5a7f4/go.mod h1:RBQZq4jEuRlivfhVLdyRGr576XBO4/greRjx4P4O3yc=
 golang.org/x/net v0.0.0-20210405180319-a5a99cb37ef4/go.mod h1:p54w0d4576C0XHj96bSt6lcn1PtDYWL6XObtHCRCNQM=
+golang.org/x/net v0.0.0-20211112202133-69e39bad7dc2/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y=
 golang.org/x/net v0.0.0-20211209124913-491a49abca63 h1:iocB37TsdFuN6IBRZ+ry36wrkoV51/tl5vOWqkcPGvY=
 golang.org/x/net v0.0.0-20211209124913-491a49abca63/go.mod h1:9nx3DQGgdP8bBQD5qxJ1jj9UTztislL4KSBs9R2vV5Y=
 golang.org/x/oauth2 v0.0.0-20180821212333-d2e6202438be/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=

vendor/golang.org/x/crypto/ed25519/ed25519.go

-// Copyright 2016 The Go Authors. All rights reserved.
+// Copyright 2019 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.
 
-// In Go 1.13, the ed25519 package was promoted to the standard library as
-// crypto/ed25519, and this package became a wrapper for the standard library one.
-//
-//go:build !go1.13
-// +build !go1.13
-
 // Package ed25519 implements the Ed25519 signature algorithm. See
 // https://ed25519.cr.yp.to/.
 //
@@ -16,21 +10,15 @@
 // representation includes a public key suffix to make multiple signing
 // operations with the same key more efficient. This package refers to the RFC
 // 8032 private key as the “seed”.
+//
+// Beginning with Go 1.13, the functionality of this package was moved to the
+// standard library as crypto/ed25519. This package only acts as a compatibility
+// wrapper.
 package ed25519
 
-// This code is a port of the public domain, “ref10” implementation of ed25519
-// from SUPERCOP.
-
 import (
-	"bytes"
-	"crypto"
-	cryptorand "crypto/rand"
-	"crypto/sha512"
-	"errors"
+	"crypto/ed25519"
 	"io"
-	"strconv"
-
-	"golang.org/x/crypto/ed25519/internal/edwards25519"
 )
 
 const (
@@ -45,57 +33,21 @@ const (
 )
 
 // PublicKey is the type of Ed25519 public keys.
-type PublicKey []byte
+//
+// This type is an alias for crypto/ed25519's PublicKey type.
+// See the crypto/ed25519 package for the methods on this type.
+type PublicKey = ed25519.PublicKey
 
 // 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)
-}
-
-// Seed returns the private key seed corresponding to priv. It is provided for
-// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds
-// in this package.
-func (priv PrivateKey) Seed() []byte {
-	seed := make([]byte, SeedSize)
-	copy(seed, priv[:32])
-	return seed
-}
-
-// 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
-}
+//
+// This type is an alias for crypto/ed25519's PrivateKey type.
+// See the crypto/ed25519 package for the methods on this type.
+type PrivateKey = ed25519.PrivateKey
 
 // 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, PrivateKey, error) {
-	if rand == nil {
-		rand = cryptorand.Reader
-	}
-
-	seed := make([]byte, SeedSize)
-	if _, err := io.ReadFull(rand, seed); err != nil {
-		return nil, nil, err
-	}
-
-	privateKey := NewKeyFromSeed(seed)
-	publicKey := make([]byte, PublicKeySize)
-	copy(publicKey, privateKey[32:])
-
-	return publicKey, privateKey, nil
+	return ed25519.GenerateKey(rand)
 }
 
 // NewKeyFromSeed calculates a private key from a seed. It will panic if
@@ -103,121 +55,17 @@ func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) {
 // with RFC 8032. RFC 8032's private keys correspond to seeds in this
 // package.
 func NewKeyFromSeed(seed []byte) PrivateKey {
-	if l := len(seed); l != SeedSize {
-		panic("ed25519: bad seed length: " + strconv.Itoa(l))
-	}
-
-	digest := sha512.Sum512(seed)
-	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)
-
-	privateKey := make([]byte, PrivateKeySize)
-	copy(privateKey, seed)
-	copy(privateKey[32:], publicKeyBytes[:])
-
-	return privateKey
+	return ed25519.NewKeyFromSeed(seed)
 }
 
 // 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
+	return ed25519.Sign(privateKey, message)
 }
 
 // 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 s [32]byte
-	copy(s[:], sig[32:])
-
-	// https://tools.ietf.org/html/rfc8032#section-5.1.7 requires that s be in
-	// the range [0, order) in order to prevent signature malleability.
-	if !edwards25519.ScMinimal(&s) {
-		return false
-	}
-
-	edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &s)
-
-	var checkR [32]byte
-	R.ToBytes(&checkR)
-	return bytes.Equal(sig[:32], checkR[:])
+	return ed25519.Verify(publicKey, message, sig)
 }

vendor/golang.org/x/crypto/ed25519/ed25519_go113.go

-// Copyright 2019 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.
-
-//go:build go1.13
-// +build go1.13
-
-// Package ed25519 implements the Ed25519 signature algorithm. See
-// https://ed25519.cr.yp.to/.
-//
-// These functions are also compatible with the “Ed25519” function defined in
-// RFC 8032. However, unlike RFC 8032's formulation, this package's private key
-// representation includes a public key suffix to make multiple signing
-// operations with the same key more efficient. This package refers to the RFC
-// 8032 private key as the “seed”.
-//
-// Beginning with Go 1.13, the functionality of this package was moved to the
-// standard library as crypto/ed25519. This package only acts as a compatibility
-// wrapper.
-package ed25519
-
-import (
-	"crypto/ed25519"
-	"io"
-)
-
-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
-	// SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032.
-	SeedSize = 32
-)
-
-// PublicKey is the type of Ed25519 public keys.
-//
-// This type is an alias for crypto/ed25519's PublicKey type.
-// See the crypto/ed25519 package for the methods on this type.
-type PublicKey = ed25519.PublicKey
-
-// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer.
-//
-// This type is an alias for crypto/ed25519's PrivateKey type.
-// See the crypto/ed25519 package for the methods on this type.
-type PrivateKey = ed25519.PrivateKey
-
-// 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, PrivateKey, error) {
-	return ed25519.GenerateKey(rand)
-}
-
-// NewKeyFromSeed calculates a private key from a seed. It will panic if
-// len(seed) is not SeedSize. This function is provided for interoperability
-// with RFC 8032. RFC 8032's private keys correspond to seeds in this
-// package.
-func NewKeyFromSeed(seed []byte) PrivateKey {
-	return ed25519.NewKeyFromSeed(seed)
-}
-
-// 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 {
-	return ed25519.Sign(privateKey, message)
-}
-
-// 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 {
-	return ed25519.Verify(publicKey, message, sig)
-}

vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go

-// 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{
-	{
-		{
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-			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},
-		},
-	},
-}

vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go

-// 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
-
-import "encoding/binary"
-
-// 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)
-}
-
-// order is the order of Curve25519 in little-endian form.
-var order = [4]uint64{0x5812631a5cf5d3ed, 0x14def9dea2f79cd6, 0, 0x1000000000000000}
-
-// ScMinimal returns true if the given scalar is less than the order of the
-// curve.
-func ScMinimal(scalar *[32]byte) bool {
-	for i := 3; ; i-- {
-		v := binary.LittleEndian.Uint64(scalar[i*8:])
-		if v > order[i] {
-			return false
-		} else if v < order[i] {
-			break
-		} else if i == 0 {
-			return false
-		}
-	}
-
-	return true
-}

vendor/modules.txt

@@ -63,9 +63,8 @@ github.com/prometheus/procfs/internal/fs
 github.com/prometheus/procfs/internal/util
 # github.com/spf13/pflag v1.0.5
 github.com/spf13/pflag
-# golang.org/x/crypto v0.0.0-20210817164053-32db794688a5
+# golang.org/x/crypto v0.0.0-20210817164053-32db794688a5 => golang.org/x/crypto v0.0.0-20220315160706-3147a52a75dd
 golang.org/x/crypto/ed25519
-golang.org/x/crypto/ed25519/internal/edwards25519
 # golang.org/x/net v0.0.0-20211209124913-491a49abca63
 golang.org/x/net/bpf
 golang.org/x/net/context
@@ -490,6 +489,7 @@ sigs.k8s.io/structured-merge-diff/v4/typed
 sigs.k8s.io/structured-merge-diff/v4/value
 # sigs.k8s.io/yaml v1.2.0
 sigs.k8s.io/yaml
+# golang.org/x/crypto => golang.org/x/crypto v0.0.0-20220315160706-3147a52a75dd
 # k8s.io/api => k8s.io/api v0.23.4
 # k8s.io/apiextensions-apiserver => k8s.io/apiextensions-apiserver v0.23.4
 # k8s.io/apimachinery => k8s.io/apimachinery v0.23.4