[chore]: Bump golang.org/x/crypto from 0.24.0 to 0.25.0 (#3080)
This commit is contained in:
parent
1a66ea8998
commit
a81455e81c
2
go.mod
2
go.mod
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@ -73,7 +73,7 @@ require (
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go.opentelemetry.io/otel/sdk/metric v1.24.0
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go.opentelemetry.io/otel/sdk/metric v1.24.0
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go.opentelemetry.io/otel/trace v1.26.0
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go.opentelemetry.io/otel/trace v1.26.0
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go.uber.org/automaxprocs v1.5.3
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go.uber.org/automaxprocs v1.5.3
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golang.org/x/crypto v0.24.0
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golang.org/x/crypto v0.25.0
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golang.org/x/image v0.18.0
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golang.org/x/image v0.18.0
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golang.org/x/net v0.26.0
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golang.org/x/net v0.26.0
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golang.org/x/oauth2 v0.21.0
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golang.org/x/oauth2 v0.21.0
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8
go.sum
8
go.sum
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@ -678,8 +678,8 @@ golang.org/x/crypto v0.0.0-20191011191535-87dc89f01550/go.mod h1:yigFU9vqHzYiE8U
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golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
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golang.org/x/crypto v0.0.0-20200622213623-75b288015ac9/go.mod h1:LzIPMQfyMNhhGPhUkYOs5KpL4U8rLKemX1yGLhDgUto=
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golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
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golang.org/x/crypto v0.0.0-20210921155107-089bfa567519/go.mod h1:GvvjBRRGRdwPK5ydBHafDWAxML/pGHZbMvKqRZ5+Abc=
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golang.org/x/crypto v0.3.0/go.mod h1:hebNnKkNXi2UzZN1eVRvBB7co0a+JxK6XbPiWVs/3J4=
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golang.org/x/crypto v0.3.0/go.mod h1:hebNnKkNXi2UzZN1eVRvBB7co0a+JxK6XbPiWVs/3J4=
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golang.org/x/crypto v0.24.0 h1:mnl8DM0o513X8fdIkmyFE/5hTYxbwYOjDS/+rK6qpRI=
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golang.org/x/crypto v0.25.0 h1:ypSNr+bnYL2YhwoMt2zPxHFmbAN1KZs/njMG3hxUp30=
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golang.org/x/crypto v0.24.0/go.mod h1:Z1PMYSOR5nyMcyAVAIQSKCDwalqy85Aqn1x3Ws4L5DM=
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golang.org/x/crypto v0.25.0/go.mod h1:T+wALwcMOSE0kXgUAnPAHqTLW+XHgcELELW8VaDgm/M=
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golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
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golang.org/x/exp v0.0.0-20190121172915-509febef88a4/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
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golang.org/x/exp v0.0.0-20190306152737-a1d7652674e8/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
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golang.org/x/exp v0.0.0-20190306152737-a1d7652674e8/go.mod h1:CJ0aWSM057203Lf6IL+f9T1iT9GByDxfZKAQTCR3kQA=
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golang.org/x/exp v0.0.0-20190510132918-efd6b22b2522/go.mod h1:ZjyILWgesfNpC6sMxTJOJm9Kp84zZh5NQWvqDGG3Qr8=
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golang.org/x/exp v0.0.0-20190510132918-efd6b22b2522/go.mod h1:ZjyILWgesfNpC6sMxTJOJm9Kp84zZh5NQWvqDGG3Qr8=
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@ -816,8 +816,8 @@ golang.org/x/sys v0.22.0/go.mod h1:/VUhepiaJMQUp4+oa/7Zr1D23ma6VTLIYjOOTFZPUcA=
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golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo=
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golang.org/x/term v0.0.0-20201126162022-7de9c90e9dd1/go.mod h1:bj7SfCRtBDWHUb9snDiAeCFNEtKQo2Wmx5Cou7ajbmo=
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golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8=
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golang.org/x/term v0.0.0-20210927222741-03fcf44c2211/go.mod h1:jbD1KX2456YbFQfuXm/mYQcufACuNUgVhRMnK/tPxf8=
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golang.org/x/term v0.2.0/go.mod h1:TVmDHMZPmdnySmBfhjOoOdhjzdE1h4u1VwSiw2l1Nuc=
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golang.org/x/term v0.2.0/go.mod h1:TVmDHMZPmdnySmBfhjOoOdhjzdE1h4u1VwSiw2l1Nuc=
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golang.org/x/term v0.21.0 h1:WVXCp+/EBEHOj53Rvu+7KiT/iElMrO8ACK16SMZ3jaA=
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golang.org/x/term v0.22.0 h1:BbsgPEJULsl2fV/AT3v15Mjva5yXKQDyKf+TbDz7QJk=
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golang.org/x/term v0.21.0/go.mod h1:ooXLefLobQVslOqselCNF4SxFAaoS6KujMbsGzSDmX0=
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golang.org/x/term v0.22.0/go.mod h1:F3qCibpT5AMpCRfhfT53vVJwhLtIVHhB9XDjfFvnMI4=
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golang.org/x/text v0.0.0-20170915032832-14c0d48ead0c/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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golang.org/x/text v0.0.0-20170915032832-14c0d48ead0c/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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golang.org/x/text v0.3.0/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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golang.org/x/text v0.3.1-0.20180807135948-17ff2d5776d2/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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golang.org/x/text v0.3.1-0.20180807135948-17ff2d5776d2/go.mod h1:NqM8EUOU14njkJ3fqMW+pc6Ldnwhi/IjpwHt7yyuwOQ=
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@ -15,6 +15,7 @@ import (
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"io"
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"io"
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"math/big"
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"math/big"
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"net/http"
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"net/http"
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"runtime/debug"
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"strconv"
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"strconv"
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"strings"
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"strings"
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"time"
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"time"
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@ -271,9 +272,27 @@ func (c *Client) httpClient() *http.Client {
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}
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}
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// packageVersion is the version of the module that contains this package, for
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// packageVersion is the version of the module that contains this package, for
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// sending as part of the User-Agent header. It's set in version_go112.go.
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// sending as part of the User-Agent header.
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var packageVersion string
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var packageVersion string
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func init() {
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// Set packageVersion if the binary was built in modules mode and x/crypto
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// was not replaced with a different module.
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info, ok := debug.ReadBuildInfo()
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if !ok {
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return
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}
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for _, m := range info.Deps {
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if m.Path != "golang.org/x/crypto" {
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continue
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}
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if m.Replace == nil {
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packageVersion = m.Version
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}
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break
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}
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}
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// userAgent returns the User-Agent header value. It includes the package name,
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// userAgent returns the User-Agent header value. It includes the package name,
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// the module version (if available), and the c.UserAgent value (if set).
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// the module version (if available), and the c.UserAgent value (if set).
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func (c *Client) userAgent() string {
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func (c *Client) userAgent() string {
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@ -1,27 +0,0 @@
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// Copyright 2019 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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//go:build go1.12
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package acme
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import "runtime/debug"
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func init() {
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// Set packageVersion if the binary was built in modules mode and x/crypto
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// was not replaced with a different module.
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info, ok := debug.ReadBuildInfo()
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if !ok {
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return
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}
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for _, m := range info.Deps {
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if m.Path != "golang.org/x/crypto" {
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continue
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}
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if m.Replace == nil {
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packageVersion = m.Version
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}
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break
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}
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}
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@ -4,7 +4,7 @@
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// Package bcrypt implements Provos and Mazières's bcrypt adaptive hashing
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// Package bcrypt implements Provos and Mazières's bcrypt adaptive hashing
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// algorithm. See http://www.usenix.org/event/usenix99/provos/provos.pdf
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// algorithm. See http://www.usenix.org/event/usenix99/provos/provos.pdf
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package bcrypt // import "golang.org/x/crypto/bcrypt"
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package bcrypt
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// The code is a port of Provos and Mazières's C implementation.
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// The code is a port of Provos and Mazières's C implementation.
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import (
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import (
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@ -16,9 +16,10 @@
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//
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//
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// BLAKE2X is a construction to compute hash values larger than 32 bytes. It
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// BLAKE2X is a construction to compute hash values larger than 32 bytes. It
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// can produce hash values between 0 and 65535 bytes.
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// can produce hash values between 0 and 65535 bytes.
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package blake2s // import "golang.org/x/crypto/blake2s"
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package blake2s
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import (
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import (
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"crypto"
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"encoding/binary"
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"encoding/binary"
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"errors"
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"errors"
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"hash"
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"hash"
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@ -55,6 +56,13 @@ func Sum256(data []byte) [Size]byte {
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// and BinaryUnmarshaler for state (de)serialization as documented by hash.Hash.
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// and BinaryUnmarshaler for state (de)serialization as documented by hash.Hash.
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func New256(key []byte) (hash.Hash, error) { return newDigest(Size, key) }
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func New256(key []byte) (hash.Hash, error) { return newDigest(Size, key) }
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func init() {
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crypto.RegisterHash(crypto.BLAKE2s_256, func() hash.Hash {
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h, _ := New256(nil)
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return h
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})
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}
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// New128 returns a new hash.Hash computing the BLAKE2s-128 checksum given a
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// New128 returns a new hash.Hash computing the BLAKE2s-128 checksum given a
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// non-empty key. Note that a 128-bit digest is too small to be secure as a
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// non-empty key. Note that a 128-bit digest is too small to be secure as a
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// cryptographic hash and should only be used as a MAC, thus the key argument
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// cryptographic hash and should only be used as a MAC, thus the key argument
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@ -1,21 +0,0 @@
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// Copyright 2017 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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//go:build go1.9
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package blake2s
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import (
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"crypto"
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"hash"
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)
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func init() {
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newHash256 := func() hash.Hash {
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h, _ := New256(nil)
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return h
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}
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crypto.RegisterHash(crypto.BLAKE2s_256, newHash256)
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}
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@ -11,7 +11,7 @@
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// Deprecated: any new system should use AES (from crypto/aes, if necessary in
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// Deprecated: any new system should use AES (from crypto/aes, if necessary in
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// an AEAD mode like crypto/cipher.NewGCM) or XChaCha20-Poly1305 (from
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// an AEAD mode like crypto/cipher.NewGCM) or XChaCha20-Poly1305 (from
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// golang.org/x/crypto/chacha20poly1305).
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// golang.org/x/crypto/chacha20poly1305).
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package blowfish // import "golang.org/x/crypto/blowfish"
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package blowfish
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// The code is a port of Bruce Schneier's C implementation.
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// The code is a port of Bruce Schneier's C implementation.
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// See https://www.schneier.com/blowfish.html.
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// See https://www.schneier.com/blowfish.html.
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@ -6,9 +6,11 @@
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// performs scalar multiplication on the elliptic curve known as Curve25519.
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// performs scalar multiplication on the elliptic curve known as Curve25519.
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// See RFC 7748.
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// See RFC 7748.
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//
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//
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// Starting in Go 1.20, this package is a wrapper for the X25519 implementation
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// This package is a wrapper for the X25519 implementation
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// in the crypto/ecdh package.
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// in the crypto/ecdh package.
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package curve25519 // import "golang.org/x/crypto/curve25519"
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package curve25519
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import "crypto/ecdh"
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// ScalarMult sets dst to the product scalar * point.
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// ScalarMult sets dst to the product scalar * point.
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//
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//
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@ -16,7 +18,13 @@ package curve25519 // import "golang.org/x/crypto/curve25519"
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// zeroes, irrespective of the scalar. Instead, use the X25519 function, which
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// zeroes, irrespective of the scalar. Instead, use the X25519 function, which
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// will return an error.
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// will return an error.
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func ScalarMult(dst, scalar, point *[32]byte) {
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func ScalarMult(dst, scalar, point *[32]byte) {
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scalarMult(dst, scalar, point)
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if _, err := x25519(dst, scalar[:], point[:]); err != nil {
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// The only error condition for x25519 when the inputs are 32 bytes long
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// is if the output would have been the all-zero value.
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for i := range dst {
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dst[i] = 0
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}
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}
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}
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}
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// ScalarBaseMult sets dst to the product scalar * base where base is the
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// ScalarBaseMult sets dst to the product scalar * base where base is the
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@ -25,7 +33,12 @@ func ScalarMult(dst, scalar, point *[32]byte) {
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// It is recommended to use the X25519 function with Basepoint instead, as
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// It is recommended to use the X25519 function with Basepoint instead, as
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// copying into fixed size arrays can lead to unexpected bugs.
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// copying into fixed size arrays can lead to unexpected bugs.
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func ScalarBaseMult(dst, scalar *[32]byte) {
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func ScalarBaseMult(dst, scalar *[32]byte) {
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scalarBaseMult(dst, scalar)
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curve := ecdh.X25519()
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priv, err := curve.NewPrivateKey(scalar[:])
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if err != nil {
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panic("curve25519: internal error: scalarBaseMult was not 32 bytes")
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}
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copy(dst[:], priv.PublicKey().Bytes())
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}
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}
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const (
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const (
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@ -57,3 +70,21 @@ func X25519(scalar, point []byte) ([]byte, error) {
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var dst [32]byte
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var dst [32]byte
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return x25519(&dst, scalar, point)
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return x25519(&dst, scalar, point)
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}
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}
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func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
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curve := ecdh.X25519()
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pub, err := curve.NewPublicKey(point)
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if err != nil {
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return nil, err
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}
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priv, err := curve.NewPrivateKey(scalar)
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|
if err != nil {
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return nil, err
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}
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out, err := priv.ECDH(pub)
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if err != nil {
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return nil, err
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}
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copy(dst[:], out)
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return dst[:], nil
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}
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@ -1,105 +0,0 @@
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// Copyright 2019 The Go Authors. All rights reserved.
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|
||||||
// Use of this source code is governed by a BSD-style
|
|
||||||
// license that can be found in the LICENSE file.
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|
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//go:build !go1.20
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package curve25519
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import (
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"crypto/subtle"
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"errors"
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"strconv"
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"golang.org/x/crypto/curve25519/internal/field"
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)
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func scalarMult(dst, scalar, point *[32]byte) {
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var e [32]byte
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copy(e[:], scalar[:])
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e[0] &= 248
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e[31] &= 127
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e[31] |= 64
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var x1, x2, z2, x3, z3, tmp0, tmp1 field.Element
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x1.SetBytes(point[:])
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x2.One()
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x3.Set(&x1)
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z3.One()
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swap := 0
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for pos := 254; pos >= 0; pos-- {
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b := e[pos/8] >> uint(pos&7)
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b &= 1
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swap ^= int(b)
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x2.Swap(&x3, swap)
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z2.Swap(&z3, swap)
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|
||||||
swap = int(b)
|
|
||||||
|
|
||||||
tmp0.Subtract(&x3, &z3)
|
|
||||||
tmp1.Subtract(&x2, &z2)
|
|
||||||
x2.Add(&x2, &z2)
|
|
||||||
z2.Add(&x3, &z3)
|
|
||||||
z3.Multiply(&tmp0, &x2)
|
|
||||||
z2.Multiply(&z2, &tmp1)
|
|
||||||
tmp0.Square(&tmp1)
|
|
||||||
tmp1.Square(&x2)
|
|
||||||
x3.Add(&z3, &z2)
|
|
||||||
z2.Subtract(&z3, &z2)
|
|
||||||
x2.Multiply(&tmp1, &tmp0)
|
|
||||||
tmp1.Subtract(&tmp1, &tmp0)
|
|
||||||
z2.Square(&z2)
|
|
||||||
|
|
||||||
z3.Mult32(&tmp1, 121666)
|
|
||||||
x3.Square(&x3)
|
|
||||||
tmp0.Add(&tmp0, &z3)
|
|
||||||
z3.Multiply(&x1, &z2)
|
|
||||||
z2.Multiply(&tmp1, &tmp0)
|
|
||||||
}
|
|
||||||
|
|
||||||
x2.Swap(&x3, swap)
|
|
||||||
z2.Swap(&z3, swap)
|
|
||||||
|
|
||||||
z2.Invert(&z2)
|
|
||||||
x2.Multiply(&x2, &z2)
|
|
||||||
copy(dst[:], x2.Bytes())
|
|
||||||
}
|
|
||||||
|
|
||||||
func scalarBaseMult(dst, scalar *[32]byte) {
|
|
||||||
checkBasepoint()
|
|
||||||
scalarMult(dst, scalar, &basePoint)
|
|
||||||
}
|
|
||||||
|
|
||||||
func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
|
|
||||||
var in [32]byte
|
|
||||||
if l := len(scalar); l != 32 {
|
|
||||||
return nil, errors.New("bad scalar length: " + strconv.Itoa(l) + ", expected 32")
|
|
||||||
}
|
|
||||||
if l := len(point); l != 32 {
|
|
||||||
return nil, errors.New("bad point length: " + strconv.Itoa(l) + ", expected 32")
|
|
||||||
}
|
|
||||||
copy(in[:], scalar)
|
|
||||||
if &point[0] == &Basepoint[0] {
|
|
||||||
scalarBaseMult(dst, &in)
|
|
||||||
} else {
|
|
||||||
var base, zero [32]byte
|
|
||||||
copy(base[:], point)
|
|
||||||
scalarMult(dst, &in, &base)
|
|
||||||
if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 {
|
|
||||||
return nil, errors.New("bad input point: low order point")
|
|
||||||
}
|
|
||||||
}
|
|
||||||
return dst[:], nil
|
|
||||||
}
|
|
||||||
|
|
||||||
func checkBasepoint() {
|
|
||||||
if subtle.ConstantTimeCompare(Basepoint, []byte{
|
|
||||||
0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
||||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
||||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
||||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
|
||||||
}) != 1 {
|
|
||||||
panic("curve25519: global Basepoint value was modified")
|
|
||||||
}
|
|
||||||
}
|
|
|
@ -1,46 +0,0 @@
|
||||||
// Copyright 2022 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 go1.20
|
|
||||||
|
|
||||||
package curve25519
|
|
||||||
|
|
||||||
import "crypto/ecdh"
|
|
||||||
|
|
||||||
func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
|
|
||||||
curve := ecdh.X25519()
|
|
||||||
pub, err := curve.NewPublicKey(point)
|
|
||||||
if err != nil {
|
|
||||||
return nil, err
|
|
||||||
}
|
|
||||||
priv, err := curve.NewPrivateKey(scalar)
|
|
||||||
if err != nil {
|
|
||||||
return nil, err
|
|
||||||
}
|
|
||||||
out, err := priv.ECDH(pub)
|
|
||||||
if err != nil {
|
|
||||||
return nil, err
|
|
||||||
}
|
|
||||||
copy(dst[:], out)
|
|
||||||
return dst[:], nil
|
|
||||||
}
|
|
||||||
|
|
||||||
func scalarMult(dst, scalar, point *[32]byte) {
|
|
||||||
if _, err := x25519(dst, scalar[:], point[:]); err != nil {
|
|
||||||
// The only error condition for x25519 when the inputs are 32 bytes long
|
|
||||||
// is if the output would have been the all-zero value.
|
|
||||||
for i := range dst {
|
|
||||||
dst[i] = 0
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
func scalarBaseMult(dst, scalar *[32]byte) {
|
|
||||||
curve := ecdh.X25519()
|
|
||||||
priv, err := curve.NewPrivateKey(scalar[:])
|
|
||||||
if err != nil {
|
|
||||||
panic("curve25519: internal error: scalarBaseMult was not 32 bytes")
|
|
||||||
}
|
|
||||||
copy(dst[:], priv.PublicKey().Bytes())
|
|
||||||
}
|
|
|
@ -1,7 +0,0 @@
|
||||||
This package is kept in sync with crypto/ed25519/internal/edwards25519/field in
|
|
||||||
the standard library.
|
|
||||||
|
|
||||||
If there are any changes in the standard library that need to be synced to this
|
|
||||||
package, run sync.sh. It will not overwrite any local changes made since the
|
|
||||||
previous sync, so it's ok to land changes in this package first, and then sync
|
|
||||||
to the standard library later.
|
|
|
@ -1,416 +0,0 @@
|
||||||
// Copyright (c) 2017 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 field implements fast arithmetic modulo 2^255-19.
|
|
||||||
package field
|
|
||||||
|
|
||||||
import (
|
|
||||||
"crypto/subtle"
|
|
||||||
"encoding/binary"
|
|
||||||
"math/bits"
|
|
||||||
)
|
|
||||||
|
|
||||||
// Element represents an element of the field GF(2^255-19). Note that this
|
|
||||||
// is not a cryptographically secure group, and should only be used to interact
|
|
||||||
// with edwards25519.Point coordinates.
|
|
||||||
//
|
|
||||||
// This type works similarly to math/big.Int, and all arguments and receivers
|
|
||||||
// are allowed to alias.
|
|
||||||
//
|
|
||||||
// The zero value is a valid zero element.
|
|
||||||
type Element struct {
|
|
||||||
// An element t represents the integer
|
|
||||||
// t.l0 + t.l1*2^51 + t.l2*2^102 + t.l3*2^153 + t.l4*2^204
|
|
||||||
//
|
|
||||||
// Between operations, all limbs are expected to be lower than 2^52.
|
|
||||||
l0 uint64
|
|
||||||
l1 uint64
|
|
||||||
l2 uint64
|
|
||||||
l3 uint64
|
|
||||||
l4 uint64
|
|
||||||
}
|
|
||||||
|
|
||||||
const maskLow51Bits uint64 = (1 << 51) - 1
|
|
||||||
|
|
||||||
var feZero = &Element{0, 0, 0, 0, 0}
|
|
||||||
|
|
||||||
// Zero sets v = 0, and returns v.
|
|
||||||
func (v *Element) Zero() *Element {
|
|
||||||
*v = *feZero
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
var feOne = &Element{1, 0, 0, 0, 0}
|
|
||||||
|
|
||||||
// One sets v = 1, and returns v.
|
|
||||||
func (v *Element) One() *Element {
|
|
||||||
*v = *feOne
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// reduce reduces v modulo 2^255 - 19 and returns it.
|
|
||||||
func (v *Element) reduce() *Element {
|
|
||||||
v.carryPropagate()
|
|
||||||
|
|
||||||
// After the light reduction we now have a field element representation
|
|
||||||
// v < 2^255 + 2^13 * 19, but need v < 2^255 - 19.
|
|
||||||
|
|
||||||
// If v >= 2^255 - 19, then v + 19 >= 2^255, which would overflow 2^255 - 1,
|
|
||||||
// generating a carry. That is, c will be 0 if v < 2^255 - 19, and 1 otherwise.
|
|
||||||
c := (v.l0 + 19) >> 51
|
|
||||||
c = (v.l1 + c) >> 51
|
|
||||||
c = (v.l2 + c) >> 51
|
|
||||||
c = (v.l3 + c) >> 51
|
|
||||||
c = (v.l4 + c) >> 51
|
|
||||||
|
|
||||||
// If v < 2^255 - 19 and c = 0, this will be a no-op. Otherwise, it's
|
|
||||||
// effectively applying the reduction identity to the carry.
|
|
||||||
v.l0 += 19 * c
|
|
||||||
|
|
||||||
v.l1 += v.l0 >> 51
|
|
||||||
v.l0 = v.l0 & maskLow51Bits
|
|
||||||
v.l2 += v.l1 >> 51
|
|
||||||
v.l1 = v.l1 & maskLow51Bits
|
|
||||||
v.l3 += v.l2 >> 51
|
|
||||||
v.l2 = v.l2 & maskLow51Bits
|
|
||||||
v.l4 += v.l3 >> 51
|
|
||||||
v.l3 = v.l3 & maskLow51Bits
|
|
||||||
// no additional carry
|
|
||||||
v.l4 = v.l4 & maskLow51Bits
|
|
||||||
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// Add sets v = a + b, and returns v.
|
|
||||||
func (v *Element) Add(a, b *Element) *Element {
|
|
||||||
v.l0 = a.l0 + b.l0
|
|
||||||
v.l1 = a.l1 + b.l1
|
|
||||||
v.l2 = a.l2 + b.l2
|
|
||||||
v.l3 = a.l3 + b.l3
|
|
||||||
v.l4 = a.l4 + b.l4
|
|
||||||
// Using the generic implementation here is actually faster than the
|
|
||||||
// assembly. Probably because the body of this function is so simple that
|
|
||||||
// the compiler can figure out better optimizations by inlining the carry
|
|
||||||
// propagation. TODO
|
|
||||||
return v.carryPropagateGeneric()
|
|
||||||
}
|
|
||||||
|
|
||||||
// Subtract sets v = a - b, and returns v.
|
|
||||||
func (v *Element) Subtract(a, b *Element) *Element {
|
|
||||||
// We first add 2 * p, to guarantee the subtraction won't underflow, and
|
|
||||||
// then subtract b (which can be up to 2^255 + 2^13 * 19).
|
|
||||||
v.l0 = (a.l0 + 0xFFFFFFFFFFFDA) - b.l0
|
|
||||||
v.l1 = (a.l1 + 0xFFFFFFFFFFFFE) - b.l1
|
|
||||||
v.l2 = (a.l2 + 0xFFFFFFFFFFFFE) - b.l2
|
|
||||||
v.l3 = (a.l3 + 0xFFFFFFFFFFFFE) - b.l3
|
|
||||||
v.l4 = (a.l4 + 0xFFFFFFFFFFFFE) - b.l4
|
|
||||||
return v.carryPropagate()
|
|
||||||
}
|
|
||||||
|
|
||||||
// Negate sets v = -a, and returns v.
|
|
||||||
func (v *Element) Negate(a *Element) *Element {
|
|
||||||
return v.Subtract(feZero, a)
|
|
||||||
}
|
|
||||||
|
|
||||||
// Invert sets v = 1/z mod p, and returns v.
|
|
||||||
//
|
|
||||||
// If z == 0, Invert returns v = 0.
|
|
||||||
func (v *Element) Invert(z *Element) *Element {
|
|
||||||
// Inversion is implemented as exponentiation with exponent p − 2. It uses the
|
|
||||||
// same sequence of 255 squarings and 11 multiplications as [Curve25519].
|
|
||||||
var z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t Element
|
|
||||||
|
|
||||||
z2.Square(z) // 2
|
|
||||||
t.Square(&z2) // 4
|
|
||||||
t.Square(&t) // 8
|
|
||||||
z9.Multiply(&t, z) // 9
|
|
||||||
z11.Multiply(&z9, &z2) // 11
|
|
||||||
t.Square(&z11) // 22
|
|
||||||
z2_5_0.Multiply(&t, &z9) // 31 = 2^5 - 2^0
|
|
||||||
|
|
||||||
t.Square(&z2_5_0) // 2^6 - 2^1
|
|
||||||
for i := 0; i < 4; i++ {
|
|
||||||
t.Square(&t) // 2^10 - 2^5
|
|
||||||
}
|
|
||||||
z2_10_0.Multiply(&t, &z2_5_0) // 2^10 - 2^0
|
|
||||||
|
|
||||||
t.Square(&z2_10_0) // 2^11 - 2^1
|
|
||||||
for i := 0; i < 9; i++ {
|
|
||||||
t.Square(&t) // 2^20 - 2^10
|
|
||||||
}
|
|
||||||
z2_20_0.Multiply(&t, &z2_10_0) // 2^20 - 2^0
|
|
||||||
|
|
||||||
t.Square(&z2_20_0) // 2^21 - 2^1
|
|
||||||
for i := 0; i < 19; i++ {
|
|
||||||
t.Square(&t) // 2^40 - 2^20
|
|
||||||
}
|
|
||||||
t.Multiply(&t, &z2_20_0) // 2^40 - 2^0
|
|
||||||
|
|
||||||
t.Square(&t) // 2^41 - 2^1
|
|
||||||
for i := 0; i < 9; i++ {
|
|
||||||
t.Square(&t) // 2^50 - 2^10
|
|
||||||
}
|
|
||||||
z2_50_0.Multiply(&t, &z2_10_0) // 2^50 - 2^0
|
|
||||||
|
|
||||||
t.Square(&z2_50_0) // 2^51 - 2^1
|
|
||||||
for i := 0; i < 49; i++ {
|
|
||||||
t.Square(&t) // 2^100 - 2^50
|
|
||||||
}
|
|
||||||
z2_100_0.Multiply(&t, &z2_50_0) // 2^100 - 2^0
|
|
||||||
|
|
||||||
t.Square(&z2_100_0) // 2^101 - 2^1
|
|
||||||
for i := 0; i < 99; i++ {
|
|
||||||
t.Square(&t) // 2^200 - 2^100
|
|
||||||
}
|
|
||||||
t.Multiply(&t, &z2_100_0) // 2^200 - 2^0
|
|
||||||
|
|
||||||
t.Square(&t) // 2^201 - 2^1
|
|
||||||
for i := 0; i < 49; i++ {
|
|
||||||
t.Square(&t) // 2^250 - 2^50
|
|
||||||
}
|
|
||||||
t.Multiply(&t, &z2_50_0) // 2^250 - 2^0
|
|
||||||
|
|
||||||
t.Square(&t) // 2^251 - 2^1
|
|
||||||
t.Square(&t) // 2^252 - 2^2
|
|
||||||
t.Square(&t) // 2^253 - 2^3
|
|
||||||
t.Square(&t) // 2^254 - 2^4
|
|
||||||
t.Square(&t) // 2^255 - 2^5
|
|
||||||
|
|
||||||
return v.Multiply(&t, &z11) // 2^255 - 21
|
|
||||||
}
|
|
||||||
|
|
||||||
// Set sets v = a, and returns v.
|
|
||||||
func (v *Element) Set(a *Element) *Element {
|
|
||||||
*v = *a
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// SetBytes sets v to x, which must be a 32-byte little-endian encoding.
|
|
||||||
//
|
|
||||||
// Consistent with RFC 7748, the most significant bit (the high bit of the
|
|
||||||
// last byte) is ignored, and non-canonical values (2^255-19 through 2^255-1)
|
|
||||||
// are accepted. Note that this is laxer than specified by RFC 8032.
|
|
||||||
func (v *Element) SetBytes(x []byte) *Element {
|
|
||||||
if len(x) != 32 {
|
|
||||||
panic("edwards25519: invalid field element input size")
|
|
||||||
}
|
|
||||||
|
|
||||||
// Bits 0:51 (bytes 0:8, bits 0:64, shift 0, mask 51).
|
|
||||||
v.l0 = binary.LittleEndian.Uint64(x[0:8])
|
|
||||||
v.l0 &= maskLow51Bits
|
|
||||||
// Bits 51:102 (bytes 6:14, bits 48:112, shift 3, mask 51).
|
|
||||||
v.l1 = binary.LittleEndian.Uint64(x[6:14]) >> 3
|
|
||||||
v.l1 &= maskLow51Bits
|
|
||||||
// Bits 102:153 (bytes 12:20, bits 96:160, shift 6, mask 51).
|
|
||||||
v.l2 = binary.LittleEndian.Uint64(x[12:20]) >> 6
|
|
||||||
v.l2 &= maskLow51Bits
|
|
||||||
// Bits 153:204 (bytes 19:27, bits 152:216, shift 1, mask 51).
|
|
||||||
v.l3 = binary.LittleEndian.Uint64(x[19:27]) >> 1
|
|
||||||
v.l3 &= maskLow51Bits
|
|
||||||
// Bits 204:251 (bytes 24:32, bits 192:256, shift 12, mask 51).
|
|
||||||
// Note: not bytes 25:33, shift 4, to avoid overread.
|
|
||||||
v.l4 = binary.LittleEndian.Uint64(x[24:32]) >> 12
|
|
||||||
v.l4 &= maskLow51Bits
|
|
||||||
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// Bytes returns the canonical 32-byte little-endian encoding of v.
|
|
||||||
func (v *Element) Bytes() []byte {
|
|
||||||
// This function is outlined to make the allocations inline in the caller
|
|
||||||
// rather than happen on the heap.
|
|
||||||
var out [32]byte
|
|
||||||
return v.bytes(&out)
|
|
||||||
}
|
|
||||||
|
|
||||||
func (v *Element) bytes(out *[32]byte) []byte {
|
|
||||||
t := *v
|
|
||||||
t.reduce()
|
|
||||||
|
|
||||||
var buf [8]byte
|
|
||||||
for i, l := range [5]uint64{t.l0, t.l1, t.l2, t.l3, t.l4} {
|
|
||||||
bitsOffset := i * 51
|
|
||||||
binary.LittleEndian.PutUint64(buf[:], l<<uint(bitsOffset%8))
|
|
||||||
for i, bb := range buf {
|
|
||||||
off := bitsOffset/8 + i
|
|
||||||
if off >= len(out) {
|
|
||||||
break
|
|
||||||
}
|
|
||||||
out[off] |= bb
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return out[:]
|
|
||||||
}
|
|
||||||
|
|
||||||
// Equal returns 1 if v and u are equal, and 0 otherwise.
|
|
||||||
func (v *Element) Equal(u *Element) int {
|
|
||||||
sa, sv := u.Bytes(), v.Bytes()
|
|
||||||
return subtle.ConstantTimeCompare(sa, sv)
|
|
||||||
}
|
|
||||||
|
|
||||||
// mask64Bits returns 0xffffffff if cond is 1, and 0 otherwise.
|
|
||||||
func mask64Bits(cond int) uint64 { return ^(uint64(cond) - 1) }
|
|
||||||
|
|
||||||
// Select sets v to a if cond == 1, and to b if cond == 0.
|
|
||||||
func (v *Element) Select(a, b *Element, cond int) *Element {
|
|
||||||
m := mask64Bits(cond)
|
|
||||||
v.l0 = (m & a.l0) | (^m & b.l0)
|
|
||||||
v.l1 = (m & a.l1) | (^m & b.l1)
|
|
||||||
v.l2 = (m & a.l2) | (^m & b.l2)
|
|
||||||
v.l3 = (m & a.l3) | (^m & b.l3)
|
|
||||||
v.l4 = (m & a.l4) | (^m & b.l4)
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// Swap swaps v and u if cond == 1 or leaves them unchanged if cond == 0, and returns v.
|
|
||||||
func (v *Element) Swap(u *Element, cond int) {
|
|
||||||
m := mask64Bits(cond)
|
|
||||||
t := m & (v.l0 ^ u.l0)
|
|
||||||
v.l0 ^= t
|
|
||||||
u.l0 ^= t
|
|
||||||
t = m & (v.l1 ^ u.l1)
|
|
||||||
v.l1 ^= t
|
|
||||||
u.l1 ^= t
|
|
||||||
t = m & (v.l2 ^ u.l2)
|
|
||||||
v.l2 ^= t
|
|
||||||
u.l2 ^= t
|
|
||||||
t = m & (v.l3 ^ u.l3)
|
|
||||||
v.l3 ^= t
|
|
||||||
u.l3 ^= t
|
|
||||||
t = m & (v.l4 ^ u.l4)
|
|
||||||
v.l4 ^= t
|
|
||||||
u.l4 ^= t
|
|
||||||
}
|
|
||||||
|
|
||||||
// IsNegative returns 1 if v is negative, and 0 otherwise.
|
|
||||||
func (v *Element) IsNegative() int {
|
|
||||||
return int(v.Bytes()[0] & 1)
|
|
||||||
}
|
|
||||||
|
|
||||||
// Absolute sets v to |u|, and returns v.
|
|
||||||
func (v *Element) Absolute(u *Element) *Element {
|
|
||||||
return v.Select(new(Element).Negate(u), u, u.IsNegative())
|
|
||||||
}
|
|
||||||
|
|
||||||
// Multiply sets v = x * y, and returns v.
|
|
||||||
func (v *Element) Multiply(x, y *Element) *Element {
|
|
||||||
feMul(v, x, y)
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// Square sets v = x * x, and returns v.
|
|
||||||
func (v *Element) Square(x *Element) *Element {
|
|
||||||
feSquare(v, x)
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// Mult32 sets v = x * y, and returns v.
|
|
||||||
func (v *Element) Mult32(x *Element, y uint32) *Element {
|
|
||||||
x0lo, x0hi := mul51(x.l0, y)
|
|
||||||
x1lo, x1hi := mul51(x.l1, y)
|
|
||||||
x2lo, x2hi := mul51(x.l2, y)
|
|
||||||
x3lo, x3hi := mul51(x.l3, y)
|
|
||||||
x4lo, x4hi := mul51(x.l4, y)
|
|
||||||
v.l0 = x0lo + 19*x4hi // carried over per the reduction identity
|
|
||||||
v.l1 = x1lo + x0hi
|
|
||||||
v.l2 = x2lo + x1hi
|
|
||||||
v.l3 = x3lo + x2hi
|
|
||||||
v.l4 = x4lo + x3hi
|
|
||||||
// The hi portions are going to be only 32 bits, plus any previous excess,
|
|
||||||
// so we can skip the carry propagation.
|
|
||||||
return v
|
|
||||||
}
|
|
||||||
|
|
||||||
// mul51 returns lo + hi * 2⁵¹ = a * b.
|
|
||||||
func mul51(a uint64, b uint32) (lo uint64, hi uint64) {
|
|
||||||
mh, ml := bits.Mul64(a, uint64(b))
|
|
||||||
lo = ml & maskLow51Bits
|
|
||||||
hi = (mh << 13) | (ml >> 51)
|
|
||||||
return
|
|
||||||
}
|
|
||||||
|
|
||||||
// Pow22523 set v = x^((p-5)/8), and returns v. (p-5)/8 is 2^252-3.
|
|
||||||
func (v *Element) Pow22523(x *Element) *Element {
|
|
||||||
var t0, t1, t2 Element
|
|
||||||
|
|
||||||
t0.Square(x) // x^2
|
|
||||||
t1.Square(&t0) // x^4
|
|
||||||
t1.Square(&t1) // x^8
|
|
||||||
t1.Multiply(x, &t1) // x^9
|
|
||||||
t0.Multiply(&t0, &t1) // x^11
|
|
||||||
t0.Square(&t0) // x^22
|
|
||||||
t0.Multiply(&t1, &t0) // x^31
|
|
||||||
t1.Square(&t0) // x^62
|
|
||||||
for i := 1; i < 5; i++ { // x^992
|
|
||||||
t1.Square(&t1)
|
|
||||||
}
|
|
||||||
t0.Multiply(&t1, &t0) // x^1023 -> 1023 = 2^10 - 1
|
|
||||||
t1.Square(&t0) // 2^11 - 2
|
|
||||||
for i := 1; i < 10; i++ { // 2^20 - 2^10
|
|
||||||
t1.Square(&t1)
|
|
||||||
}
|
|
||||||
t1.Multiply(&t1, &t0) // 2^20 - 1
|
|
||||||
t2.Square(&t1) // 2^21 - 2
|
|
||||||
for i := 1; i < 20; i++ { // 2^40 - 2^20
|
|
||||||
t2.Square(&t2)
|
|
||||||
}
|
|
||||||
t1.Multiply(&t2, &t1) // 2^40 - 1
|
|
||||||
t1.Square(&t1) // 2^41 - 2
|
|
||||||
for i := 1; i < 10; i++ { // 2^50 - 2^10
|
|
||||||
t1.Square(&t1)
|
|
||||||
}
|
|
||||||
t0.Multiply(&t1, &t0) // 2^50 - 1
|
|
||||||
t1.Square(&t0) // 2^51 - 2
|
|
||||||
for i := 1; i < 50; i++ { // 2^100 - 2^50
|
|
||||||
t1.Square(&t1)
|
|
||||||
}
|
|
||||||
t1.Multiply(&t1, &t0) // 2^100 - 1
|
|
||||||
t2.Square(&t1) // 2^101 - 2
|
|
||||||
for i := 1; i < 100; i++ { // 2^200 - 2^100
|
|
||||||
t2.Square(&t2)
|
|
||||||
}
|
|
||||||
t1.Multiply(&t2, &t1) // 2^200 - 1
|
|
||||||
t1.Square(&t1) // 2^201 - 2
|
|
||||||
for i := 1; i < 50; i++ { // 2^250 - 2^50
|
|
||||||
t1.Square(&t1)
|
|
||||||
}
|
|
||||||
t0.Multiply(&t1, &t0) // 2^250 - 1
|
|
||||||
t0.Square(&t0) // 2^251 - 2
|
|
||||||
t0.Square(&t0) // 2^252 - 4
|
|
||||||
return v.Multiply(&t0, x) // 2^252 - 3 -> x^(2^252-3)
|
|
||||||
}
|
|
||||||
|
|
||||||
// sqrtM1 is 2^((p-1)/4), which squared is equal to -1 by Euler's Criterion.
|
|
||||||
var sqrtM1 = &Element{1718705420411056, 234908883556509,
|
|
||||||
2233514472574048, 2117202627021982, 765476049583133}
|
|
||||||
|
|
||||||
// SqrtRatio sets r to the non-negative square root of the ratio of u and v.
|
|
||||||
//
|
|
||||||
// If u/v is square, SqrtRatio returns r and 1. If u/v is not square, SqrtRatio
|
|
||||||
// sets r according to Section 4.3 of draft-irtf-cfrg-ristretto255-decaf448-00,
|
|
||||||
// and returns r and 0.
|
|
||||||
func (r *Element) SqrtRatio(u, v *Element) (rr *Element, wasSquare int) {
|
|
||||||
var a, b Element
|
|
||||||
|
|
||||||
// r = (u * v3) * (u * v7)^((p-5)/8)
|
|
||||||
v2 := a.Square(v)
|
|
||||||
uv3 := b.Multiply(u, b.Multiply(v2, v))
|
|
||||||
uv7 := a.Multiply(uv3, a.Square(v2))
|
|
||||||
r.Multiply(uv3, r.Pow22523(uv7))
|
|
||||||
|
|
||||||
check := a.Multiply(v, a.Square(r)) // check = v * r^2
|
|
||||||
|
|
||||||
uNeg := b.Negate(u)
|
|
||||||
correctSignSqrt := check.Equal(u)
|
|
||||||
flippedSignSqrt := check.Equal(uNeg)
|
|
||||||
flippedSignSqrtI := check.Equal(uNeg.Multiply(uNeg, sqrtM1))
|
|
||||||
|
|
||||||
rPrime := b.Multiply(r, sqrtM1) // r_prime = SQRT_M1 * r
|
|
||||||
// r = CT_SELECT(r_prime IF flipped_sign_sqrt | flipped_sign_sqrt_i ELSE r)
|
|
||||||
r.Select(rPrime, r, flippedSignSqrt|flippedSignSqrtI)
|
|
||||||
|
|
||||||
r.Absolute(r) // Choose the nonnegative square root.
|
|
||||||
return r, correctSignSqrt | flippedSignSqrt
|
|
||||||
}
|
|
|
@ -1,15 +0,0 @@
|
||||||
// Code generated by command: go run fe_amd64_asm.go -out ../fe_amd64.s -stubs ../fe_amd64.go -pkg field. DO NOT EDIT.
|
|
||||||
|
|
||||||
//go:build amd64 && gc && !purego
|
|
||||||
|
|
||||||
package field
|
|
||||||
|
|
||||||
// feMul sets out = a * b. It works like feMulGeneric.
|
|
||||||
//
|
|
||||||
//go:noescape
|
|
||||||
func feMul(out *Element, a *Element, b *Element)
|
|
||||||
|
|
||||||
// feSquare sets out = a * a. It works like feSquareGeneric.
|
|
||||||
//
|
|
||||||
//go:noescape
|
|
||||||
func feSquare(out *Element, a *Element)
|
|
|
@ -1,378 +0,0 @@
|
||||||
// Code generated by command: go run fe_amd64_asm.go -out ../fe_amd64.s -stubs ../fe_amd64.go -pkg field. DO NOT EDIT.
|
|
||||||
|
|
||||||
//go:build amd64 && gc && !purego
|
|
||||||
|
|
||||||
#include "textflag.h"
|
|
||||||
|
|
||||||
// func feMul(out *Element, a *Element, b *Element)
|
|
||||||
TEXT ·feMul(SB), NOSPLIT, $0-24
|
|
||||||
MOVQ a+8(FP), CX
|
|
||||||
MOVQ b+16(FP), BX
|
|
||||||
|
|
||||||
// r0 = a0×b0
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ (BX)
|
|
||||||
MOVQ AX, DI
|
|
||||||
MOVQ DX, SI
|
|
||||||
|
|
||||||
// r0 += 19×a1×b4
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 32(BX)
|
|
||||||
ADDQ AX, DI
|
|
||||||
ADCQ DX, SI
|
|
||||||
|
|
||||||
// r0 += 19×a2×b3
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 24(BX)
|
|
||||||
ADDQ AX, DI
|
|
||||||
ADCQ DX, SI
|
|
||||||
|
|
||||||
// r0 += 19×a3×b2
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 16(BX)
|
|
||||||
ADDQ AX, DI
|
|
||||||
ADCQ DX, SI
|
|
||||||
|
|
||||||
// r0 += 19×a4×b1
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 8(BX)
|
|
||||||
ADDQ AX, DI
|
|
||||||
ADCQ DX, SI
|
|
||||||
|
|
||||||
// r1 = a0×b1
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ 8(BX)
|
|
||||||
MOVQ AX, R9
|
|
||||||
MOVQ DX, R8
|
|
||||||
|
|
||||||
// r1 += a1×b0
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
MULQ (BX)
|
|
||||||
ADDQ AX, R9
|
|
||||||
ADCQ DX, R8
|
|
||||||
|
|
||||||
// r1 += 19×a2×b4
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 32(BX)
|
|
||||||
ADDQ AX, R9
|
|
||||||
ADCQ DX, R8
|
|
||||||
|
|
||||||
// r1 += 19×a3×b3
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 24(BX)
|
|
||||||
ADDQ AX, R9
|
|
||||||
ADCQ DX, R8
|
|
||||||
|
|
||||||
// r1 += 19×a4×b2
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 16(BX)
|
|
||||||
ADDQ AX, R9
|
|
||||||
ADCQ DX, R8
|
|
||||||
|
|
||||||
// r2 = a0×b2
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ 16(BX)
|
|
||||||
MOVQ AX, R11
|
|
||||||
MOVQ DX, R10
|
|
||||||
|
|
||||||
// r2 += a1×b1
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
MULQ 8(BX)
|
|
||||||
ADDQ AX, R11
|
|
||||||
ADCQ DX, R10
|
|
||||||
|
|
||||||
// r2 += a2×b0
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
MULQ (BX)
|
|
||||||
ADDQ AX, R11
|
|
||||||
ADCQ DX, R10
|
|
||||||
|
|
||||||
// r2 += 19×a3×b4
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 32(BX)
|
|
||||||
ADDQ AX, R11
|
|
||||||
ADCQ DX, R10
|
|
||||||
|
|
||||||
// r2 += 19×a4×b3
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 24(BX)
|
|
||||||
ADDQ AX, R11
|
|
||||||
ADCQ DX, R10
|
|
||||||
|
|
||||||
// r3 = a0×b3
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ 24(BX)
|
|
||||||
MOVQ AX, R13
|
|
||||||
MOVQ DX, R12
|
|
||||||
|
|
||||||
// r3 += a1×b2
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
MULQ 16(BX)
|
|
||||||
ADDQ AX, R13
|
|
||||||
ADCQ DX, R12
|
|
||||||
|
|
||||||
// r3 += a2×b1
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
MULQ 8(BX)
|
|
||||||
ADDQ AX, R13
|
|
||||||
ADCQ DX, R12
|
|
||||||
|
|
||||||
// r3 += a3×b0
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
MULQ (BX)
|
|
||||||
ADDQ AX, R13
|
|
||||||
ADCQ DX, R12
|
|
||||||
|
|
||||||
// r3 += 19×a4×b4
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 32(BX)
|
|
||||||
ADDQ AX, R13
|
|
||||||
ADCQ DX, R12
|
|
||||||
|
|
||||||
// r4 = a0×b4
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ 32(BX)
|
|
||||||
MOVQ AX, R15
|
|
||||||
MOVQ DX, R14
|
|
||||||
|
|
||||||
// r4 += a1×b3
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
MULQ 24(BX)
|
|
||||||
ADDQ AX, R15
|
|
||||||
ADCQ DX, R14
|
|
||||||
|
|
||||||
// r4 += a2×b2
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
MULQ 16(BX)
|
|
||||||
ADDQ AX, R15
|
|
||||||
ADCQ DX, R14
|
|
||||||
|
|
||||||
// r4 += a3×b1
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
MULQ 8(BX)
|
|
||||||
ADDQ AX, R15
|
|
||||||
ADCQ DX, R14
|
|
||||||
|
|
||||||
// r4 += a4×b0
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
MULQ (BX)
|
|
||||||
ADDQ AX, R15
|
|
||||||
ADCQ DX, R14
|
|
||||||
|
|
||||||
// First reduction chain
|
|
||||||
MOVQ $0x0007ffffffffffff, AX
|
|
||||||
SHLQ $0x0d, DI, SI
|
|
||||||
SHLQ $0x0d, R9, R8
|
|
||||||
SHLQ $0x0d, R11, R10
|
|
||||||
SHLQ $0x0d, R13, R12
|
|
||||||
SHLQ $0x0d, R15, R14
|
|
||||||
ANDQ AX, DI
|
|
||||||
IMUL3Q $0x13, R14, R14
|
|
||||||
ADDQ R14, DI
|
|
||||||
ANDQ AX, R9
|
|
||||||
ADDQ SI, R9
|
|
||||||
ANDQ AX, R11
|
|
||||||
ADDQ R8, R11
|
|
||||||
ANDQ AX, R13
|
|
||||||
ADDQ R10, R13
|
|
||||||
ANDQ AX, R15
|
|
||||||
ADDQ R12, R15
|
|
||||||
|
|
||||||
// Second reduction chain (carryPropagate)
|
|
||||||
MOVQ DI, SI
|
|
||||||
SHRQ $0x33, SI
|
|
||||||
MOVQ R9, R8
|
|
||||||
SHRQ $0x33, R8
|
|
||||||
MOVQ R11, R10
|
|
||||||
SHRQ $0x33, R10
|
|
||||||
MOVQ R13, R12
|
|
||||||
SHRQ $0x33, R12
|
|
||||||
MOVQ R15, R14
|
|
||||||
SHRQ $0x33, R14
|
|
||||||
ANDQ AX, DI
|
|
||||||
IMUL3Q $0x13, R14, R14
|
|
||||||
ADDQ R14, DI
|
|
||||||
ANDQ AX, R9
|
|
||||||
ADDQ SI, R9
|
|
||||||
ANDQ AX, R11
|
|
||||||
ADDQ R8, R11
|
|
||||||
ANDQ AX, R13
|
|
||||||
ADDQ R10, R13
|
|
||||||
ANDQ AX, R15
|
|
||||||
ADDQ R12, R15
|
|
||||||
|
|
||||||
// Store output
|
|
||||||
MOVQ out+0(FP), AX
|
|
||||||
MOVQ DI, (AX)
|
|
||||||
MOVQ R9, 8(AX)
|
|
||||||
MOVQ R11, 16(AX)
|
|
||||||
MOVQ R13, 24(AX)
|
|
||||||
MOVQ R15, 32(AX)
|
|
||||||
RET
|
|
||||||
|
|
||||||
// func feSquare(out *Element, a *Element)
|
|
||||||
TEXT ·feSquare(SB), NOSPLIT, $0-16
|
|
||||||
MOVQ a+8(FP), CX
|
|
||||||
|
|
||||||
// r0 = l0×l0
|
|
||||||
MOVQ (CX), AX
|
|
||||||
MULQ (CX)
|
|
||||||
MOVQ AX, SI
|
|
||||||
MOVQ DX, BX
|
|
||||||
|
|
||||||
// r0 += 38×l1×l4
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
IMUL3Q $0x26, AX, AX
|
|
||||||
MULQ 32(CX)
|
|
||||||
ADDQ AX, SI
|
|
||||||
ADCQ DX, BX
|
|
||||||
|
|
||||||
// r0 += 38×l2×l3
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
IMUL3Q $0x26, AX, AX
|
|
||||||
MULQ 24(CX)
|
|
||||||
ADDQ AX, SI
|
|
||||||
ADCQ DX, BX
|
|
||||||
|
|
||||||
// r1 = 2×l0×l1
|
|
||||||
MOVQ (CX), AX
|
|
||||||
SHLQ $0x01, AX
|
|
||||||
MULQ 8(CX)
|
|
||||||
MOVQ AX, R8
|
|
||||||
MOVQ DX, DI
|
|
||||||
|
|
||||||
// r1 += 38×l2×l4
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
IMUL3Q $0x26, AX, AX
|
|
||||||
MULQ 32(CX)
|
|
||||||
ADDQ AX, R8
|
|
||||||
ADCQ DX, DI
|
|
||||||
|
|
||||||
// r1 += 19×l3×l3
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 24(CX)
|
|
||||||
ADDQ AX, R8
|
|
||||||
ADCQ DX, DI
|
|
||||||
|
|
||||||
// r2 = 2×l0×l2
|
|
||||||
MOVQ (CX), AX
|
|
||||||
SHLQ $0x01, AX
|
|
||||||
MULQ 16(CX)
|
|
||||||
MOVQ AX, R10
|
|
||||||
MOVQ DX, R9
|
|
||||||
|
|
||||||
// r2 += l1×l1
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
MULQ 8(CX)
|
|
||||||
ADDQ AX, R10
|
|
||||||
ADCQ DX, R9
|
|
||||||
|
|
||||||
// r2 += 38×l3×l4
|
|
||||||
MOVQ 24(CX), AX
|
|
||||||
IMUL3Q $0x26, AX, AX
|
|
||||||
MULQ 32(CX)
|
|
||||||
ADDQ AX, R10
|
|
||||||
ADCQ DX, R9
|
|
||||||
|
|
||||||
// r3 = 2×l0×l3
|
|
||||||
MOVQ (CX), AX
|
|
||||||
SHLQ $0x01, AX
|
|
||||||
MULQ 24(CX)
|
|
||||||
MOVQ AX, R12
|
|
||||||
MOVQ DX, R11
|
|
||||||
|
|
||||||
// r3 += 2×l1×l2
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
IMUL3Q $0x02, AX, AX
|
|
||||||
MULQ 16(CX)
|
|
||||||
ADDQ AX, R12
|
|
||||||
ADCQ DX, R11
|
|
||||||
|
|
||||||
// r3 += 19×l4×l4
|
|
||||||
MOVQ 32(CX), AX
|
|
||||||
IMUL3Q $0x13, AX, AX
|
|
||||||
MULQ 32(CX)
|
|
||||||
ADDQ AX, R12
|
|
||||||
ADCQ DX, R11
|
|
||||||
|
|
||||||
// r4 = 2×l0×l4
|
|
||||||
MOVQ (CX), AX
|
|
||||||
SHLQ $0x01, AX
|
|
||||||
MULQ 32(CX)
|
|
||||||
MOVQ AX, R14
|
|
||||||
MOVQ DX, R13
|
|
||||||
|
|
||||||
// r4 += 2×l1×l3
|
|
||||||
MOVQ 8(CX), AX
|
|
||||||
IMUL3Q $0x02, AX, AX
|
|
||||||
MULQ 24(CX)
|
|
||||||
ADDQ AX, R14
|
|
||||||
ADCQ DX, R13
|
|
||||||
|
|
||||||
// r4 += l2×l2
|
|
||||||
MOVQ 16(CX), AX
|
|
||||||
MULQ 16(CX)
|
|
||||||
ADDQ AX, R14
|
|
||||||
ADCQ DX, R13
|
|
||||||
|
|
||||||
// First reduction chain
|
|
||||||
MOVQ $0x0007ffffffffffff, AX
|
|
||||||
SHLQ $0x0d, SI, BX
|
|
||||||
SHLQ $0x0d, R8, DI
|
|
||||||
SHLQ $0x0d, R10, R9
|
|
||||||
SHLQ $0x0d, R12, R11
|
|
||||||
SHLQ $0x0d, R14, R13
|
|
||||||
ANDQ AX, SI
|
|
||||||
IMUL3Q $0x13, R13, R13
|
|
||||||
ADDQ R13, SI
|
|
||||||
ANDQ AX, R8
|
|
||||||
ADDQ BX, R8
|
|
||||||
ANDQ AX, R10
|
|
||||||
ADDQ DI, R10
|
|
||||||
ANDQ AX, R12
|
|
||||||
ADDQ R9, R12
|
|
||||||
ANDQ AX, R14
|
|
||||||
ADDQ R11, R14
|
|
||||||
|
|
||||||
// Second reduction chain (carryPropagate)
|
|
||||||
MOVQ SI, BX
|
|
||||||
SHRQ $0x33, BX
|
|
||||||
MOVQ R8, DI
|
|
||||||
SHRQ $0x33, DI
|
|
||||||
MOVQ R10, R9
|
|
||||||
SHRQ $0x33, R9
|
|
||||||
MOVQ R12, R11
|
|
||||||
SHRQ $0x33, R11
|
|
||||||
MOVQ R14, R13
|
|
||||||
SHRQ $0x33, R13
|
|
||||||
ANDQ AX, SI
|
|
||||||
IMUL3Q $0x13, R13, R13
|
|
||||||
ADDQ R13, SI
|
|
||||||
ANDQ AX, R8
|
|
||||||
ADDQ BX, R8
|
|
||||||
ANDQ AX, R10
|
|
||||||
ADDQ DI, R10
|
|
||||||
ANDQ AX, R12
|
|
||||||
ADDQ R9, R12
|
|
||||||
ANDQ AX, R14
|
|
||||||
ADDQ R11, R14
|
|
||||||
|
|
||||||
// Store output
|
|
||||||
MOVQ out+0(FP), AX
|
|
||||||
MOVQ SI, (AX)
|
|
||||||
MOVQ R8, 8(AX)
|
|
||||||
MOVQ R10, 16(AX)
|
|
||||||
MOVQ R12, 24(AX)
|
|
||||||
MOVQ R14, 32(AX)
|
|
||||||
RET
|
|
|
@ -1,11 +0,0 @@
|
||||||
// Copyright (c) 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 !amd64 || !gc || purego
|
|
||||||
|
|
||||||
package field
|
|
||||||
|
|
||||||
func feMul(v, x, y *Element) { feMulGeneric(v, x, y) }
|
|
||||||
|
|
||||||
func feSquare(v, x *Element) { feSquareGeneric(v, x) }
|
|
|
@ -1,15 +0,0 @@
|
||||||
// Copyright (c) 2020 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 arm64 && gc && !purego
|
|
||||||
|
|
||||||
package field
|
|
||||||
|
|
||||||
//go:noescape
|
|
||||||
func carryPropagate(v *Element)
|
|
||||||
|
|
||||||
func (v *Element) carryPropagate() *Element {
|
|
||||||
carryPropagate(v)
|
|
||||||
return v
|
|
||||||
}
|
|
|
@ -1,42 +0,0 @@
|
||||||
// Copyright (c) 2020 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 arm64 && gc && !purego
|
|
||||||
|
|
||||||
#include "textflag.h"
|
|
||||||
|
|
||||||
// carryPropagate works exactly like carryPropagateGeneric and uses the
|
|
||||||
// same AND, ADD, and LSR+MADD instructions emitted by the compiler, but
|
|
||||||
// avoids loading R0-R4 twice and uses LDP and STP.
|
|
||||||
//
|
|
||||||
// See https://golang.org/issues/43145 for the main compiler issue.
|
|
||||||
//
|
|
||||||
// func carryPropagate(v *Element)
|
|
||||||
TEXT ·carryPropagate(SB),NOFRAME|NOSPLIT,$0-8
|
|
||||||
MOVD v+0(FP), R20
|
|
||||||
|
|
||||||
LDP 0(R20), (R0, R1)
|
|
||||||
LDP 16(R20), (R2, R3)
|
|
||||||
MOVD 32(R20), R4
|
|
||||||
|
|
||||||
AND $0x7ffffffffffff, R0, R10
|
|
||||||
AND $0x7ffffffffffff, R1, R11
|
|
||||||
AND $0x7ffffffffffff, R2, R12
|
|
||||||
AND $0x7ffffffffffff, R3, R13
|
|
||||||
AND $0x7ffffffffffff, R4, R14
|
|
||||||
|
|
||||||
ADD R0>>51, R11, R11
|
|
||||||
ADD R1>>51, R12, R12
|
|
||||||
ADD R2>>51, R13, R13
|
|
||||||
ADD R3>>51, R14, R14
|
|
||||||
// R4>>51 * 19 + R10 -> R10
|
|
||||||
LSR $51, R4, R21
|
|
||||||
MOVD $19, R22
|
|
||||||
MADD R22, R10, R21, R10
|
|
||||||
|
|
||||||
STP (R10, R11), 0(R20)
|
|
||||||
STP (R12, R13), 16(R20)
|
|
||||||
MOVD R14, 32(R20)
|
|
||||||
|
|
||||||
RET
|
|
|
@ -1,11 +0,0 @@
|
||||||
// Copyright (c) 2021 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 !arm64 || !gc || purego
|
|
||||||
|
|
||||||
package field
|
|
||||||
|
|
||||||
func (v *Element) carryPropagate() *Element {
|
|
||||||
return v.carryPropagateGeneric()
|
|
||||||
}
|
|
|
@ -1,264 +0,0 @@
|
||||||
// Copyright (c) 2017 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 field
|
|
||||||
|
|
||||||
import "math/bits"
|
|
||||||
|
|
||||||
// uint128 holds a 128-bit number as two 64-bit limbs, for use with the
|
|
||||||
// bits.Mul64 and bits.Add64 intrinsics.
|
|
||||||
type uint128 struct {
|
|
||||||
lo, hi uint64
|
|
||||||
}
|
|
||||||
|
|
||||||
// mul64 returns a * b.
|
|
||||||
func mul64(a, b uint64) uint128 {
|
|
||||||
hi, lo := bits.Mul64(a, b)
|
|
||||||
return uint128{lo, hi}
|
|
||||||
}
|
|
||||||
|
|
||||||
// addMul64 returns v + a * b.
|
|
||||||
func addMul64(v uint128, a, b uint64) uint128 {
|
|
||||||
hi, lo := bits.Mul64(a, b)
|
|
||||||
lo, c := bits.Add64(lo, v.lo, 0)
|
|
||||||
hi, _ = bits.Add64(hi, v.hi, c)
|
|
||||||
return uint128{lo, hi}
|
|
||||||
}
|
|
||||||
|
|
||||||
// shiftRightBy51 returns a >> 51. a is assumed to be at most 115 bits.
|
|
||||||
func shiftRightBy51(a uint128) uint64 {
|
|
||||||
return (a.hi << (64 - 51)) | (a.lo >> 51)
|
|
||||||
}
|
|
||||||
|
|
||||||
func feMulGeneric(v, a, b *Element) {
|
|
||||||
a0 := a.l0
|
|
||||||
a1 := a.l1
|
|
||||||
a2 := a.l2
|
|
||||||
a3 := a.l3
|
|
||||||
a4 := a.l4
|
|
||||||
|
|
||||||
b0 := b.l0
|
|
||||||
b1 := b.l1
|
|
||||||
b2 := b.l2
|
|
||||||
b3 := b.l3
|
|
||||||
b4 := b.l4
|
|
||||||
|
|
||||||
// Limb multiplication works like pen-and-paper columnar multiplication, but
|
|
||||||
// with 51-bit limbs instead of digits.
|
|
||||||
//
|
|
||||||
// a4 a3 a2 a1 a0 x
|
|
||||||
// b4 b3 b2 b1 b0 =
|
|
||||||
// ------------------------
|
|
||||||
// a4b0 a3b0 a2b0 a1b0 a0b0 +
|
|
||||||
// a4b1 a3b1 a2b1 a1b1 a0b1 +
|
|
||||||
// a4b2 a3b2 a2b2 a1b2 a0b2 +
|
|
||||||
// a4b3 a3b3 a2b3 a1b3 a0b3 +
|
|
||||||
// a4b4 a3b4 a2b4 a1b4 a0b4 =
|
|
||||||
// ----------------------------------------------
|
|
||||||
// r8 r7 r6 r5 r4 r3 r2 r1 r0
|
|
||||||
//
|
|
||||||
// We can then use the reduction identity (a * 2²⁵⁵ + b = a * 19 + b) to
|
|
||||||
// reduce the limbs that would overflow 255 bits. r5 * 2²⁵⁵ becomes 19 * r5,
|
|
||||||
// r6 * 2³⁰⁶ becomes 19 * r6 * 2⁵¹, etc.
|
|
||||||
//
|
|
||||||
// Reduction can be carried out simultaneously to multiplication. For
|
|
||||||
// example, we do not compute r5: whenever the result of a multiplication
|
|
||||||
// belongs to r5, like a1b4, we multiply it by 19 and add the result to r0.
|
|
||||||
//
|
|
||||||
// a4b0 a3b0 a2b0 a1b0 a0b0 +
|
|
||||||
// a3b1 a2b1 a1b1 a0b1 19×a4b1 +
|
|
||||||
// a2b2 a1b2 a0b2 19×a4b2 19×a3b2 +
|
|
||||||
// a1b3 a0b3 19×a4b3 19×a3b3 19×a2b3 +
|
|
||||||
// a0b4 19×a4b4 19×a3b4 19×a2b4 19×a1b4 =
|
|
||||||
// --------------------------------------
|
|
||||||
// r4 r3 r2 r1 r0
|
|
||||||
//
|
|
||||||
// Finally we add up the columns into wide, overlapping limbs.
|
|
||||||
|
|
||||||
a1_19 := a1 * 19
|
|
||||||
a2_19 := a2 * 19
|
|
||||||
a3_19 := a3 * 19
|
|
||||||
a4_19 := a4 * 19
|
|
||||||
|
|
||||||
// r0 = a0×b0 + 19×(a1×b4 + a2×b3 + a3×b2 + a4×b1)
|
|
||||||
r0 := mul64(a0, b0)
|
|
||||||
r0 = addMul64(r0, a1_19, b4)
|
|
||||||
r0 = addMul64(r0, a2_19, b3)
|
|
||||||
r0 = addMul64(r0, a3_19, b2)
|
|
||||||
r0 = addMul64(r0, a4_19, b1)
|
|
||||||
|
|
||||||
// r1 = a0×b1 + a1×b0 + 19×(a2×b4 + a3×b3 + a4×b2)
|
|
||||||
r1 := mul64(a0, b1)
|
|
||||||
r1 = addMul64(r1, a1, b0)
|
|
||||||
r1 = addMul64(r1, a2_19, b4)
|
|
||||||
r1 = addMul64(r1, a3_19, b3)
|
|
||||||
r1 = addMul64(r1, a4_19, b2)
|
|
||||||
|
|
||||||
// r2 = a0×b2 + a1×b1 + a2×b0 + 19×(a3×b4 + a4×b3)
|
|
||||||
r2 := mul64(a0, b2)
|
|
||||||
r2 = addMul64(r2, a1, b1)
|
|
||||||
r2 = addMul64(r2, a2, b0)
|
|
||||||
r2 = addMul64(r2, a3_19, b4)
|
|
||||||
r2 = addMul64(r2, a4_19, b3)
|
|
||||||
|
|
||||||
// r3 = a0×b3 + a1×b2 + a2×b1 + a3×b0 + 19×a4×b4
|
|
||||||
r3 := mul64(a0, b3)
|
|
||||||
r3 = addMul64(r3, a1, b2)
|
|
||||||
r3 = addMul64(r3, a2, b1)
|
|
||||||
r3 = addMul64(r3, a3, b0)
|
|
||||||
r3 = addMul64(r3, a4_19, b4)
|
|
||||||
|
|
||||||
// r4 = a0×b4 + a1×b3 + a2×b2 + a3×b1 + a4×b0
|
|
||||||
r4 := mul64(a0, b4)
|
|
||||||
r4 = addMul64(r4, a1, b3)
|
|
||||||
r4 = addMul64(r4, a2, b2)
|
|
||||||
r4 = addMul64(r4, a3, b1)
|
|
||||||
r4 = addMul64(r4, a4, b0)
|
|
||||||
|
|
||||||
// After the multiplication, we need to reduce (carry) the five coefficients
|
|
||||||
// to obtain a result with limbs that are at most slightly larger than 2⁵¹,
|
|
||||||
// to respect the Element invariant.
|
|
||||||
//
|
|
||||||
// Overall, the reduction works the same as carryPropagate, except with
|
|
||||||
// wider inputs: we take the carry for each coefficient by shifting it right
|
|
||||||
// by 51, and add it to the limb above it. The top carry is multiplied by 19
|
|
||||||
// according to the reduction identity and added to the lowest limb.
|
|
||||||
//
|
|
||||||
// The largest coefficient (r0) will be at most 111 bits, which guarantees
|
|
||||||
// that all carries are at most 111 - 51 = 60 bits, which fits in a uint64.
|
|
||||||
//
|
|
||||||
// r0 = a0×b0 + 19×(a1×b4 + a2×b3 + a3×b2 + a4×b1)
|
|
||||||
// r0 < 2⁵²×2⁵² + 19×(2⁵²×2⁵² + 2⁵²×2⁵² + 2⁵²×2⁵² + 2⁵²×2⁵²)
|
|
||||||
// r0 < (1 + 19 × 4) × 2⁵² × 2⁵²
|
|
||||||
// r0 < 2⁷ × 2⁵² × 2⁵²
|
|
||||||
// r0 < 2¹¹¹
|
|
||||||
//
|
|
||||||
// Moreover, the top coefficient (r4) is at most 107 bits, so c4 is at most
|
|
||||||
// 56 bits, and c4 * 19 is at most 61 bits, which again fits in a uint64 and
|
|
||||||
// allows us to easily apply the reduction identity.
|
|
||||||
//
|
|
||||||
// r4 = a0×b4 + a1×b3 + a2×b2 + a3×b1 + a4×b0
|
|
||||||
// r4 < 5 × 2⁵² × 2⁵²
|
|
||||||
// r4 < 2¹⁰⁷
|
|
||||||
//
|
|
||||||
|
|
||||||
c0 := shiftRightBy51(r0)
|
|
||||||
c1 := shiftRightBy51(r1)
|
|
||||||
c2 := shiftRightBy51(r2)
|
|
||||||
c3 := shiftRightBy51(r3)
|
|
||||||
c4 := shiftRightBy51(r4)
|
|
||||||
|
|
||||||
rr0 := r0.lo&maskLow51Bits + c4*19
|
|
||||||
rr1 := r1.lo&maskLow51Bits + c0
|
|
||||||
rr2 := r2.lo&maskLow51Bits + c1
|
|
||||||
rr3 := r3.lo&maskLow51Bits + c2
|
|
||||||
rr4 := r4.lo&maskLow51Bits + c3
|
|
||||||
|
|
||||||
// Now all coefficients fit into 64-bit registers but are still too large to
|
|
||||||
// be passed around as a Element. We therefore do one last carry chain,
|
|
||||||
// where the carries will be small enough to fit in the wiggle room above 2⁵¹.
|
|
||||||
*v = Element{rr0, rr1, rr2, rr3, rr4}
|
|
||||||
v.carryPropagate()
|
|
||||||
}
|
|
||||||
|
|
||||||
func feSquareGeneric(v, a *Element) {
|
|
||||||
l0 := a.l0
|
|
||||||
l1 := a.l1
|
|
||||||
l2 := a.l2
|
|
||||||
l3 := a.l3
|
|
||||||
l4 := a.l4
|
|
||||||
|
|
||||||
// Squaring works precisely like multiplication above, but thanks to its
|
|
||||||
// symmetry we get to group a few terms together.
|
|
||||||
//
|
|
||||||
// l4 l3 l2 l1 l0 x
|
|
||||||
// l4 l3 l2 l1 l0 =
|
|
||||||
// ------------------------
|
|
||||||
// l4l0 l3l0 l2l0 l1l0 l0l0 +
|
|
||||||
// l4l1 l3l1 l2l1 l1l1 l0l1 +
|
|
||||||
// l4l2 l3l2 l2l2 l1l2 l0l2 +
|
|
||||||
// l4l3 l3l3 l2l3 l1l3 l0l3 +
|
|
||||||
// l4l4 l3l4 l2l4 l1l4 l0l4 =
|
|
||||||
// ----------------------------------------------
|
|
||||||
// r8 r7 r6 r5 r4 r3 r2 r1 r0
|
|
||||||
//
|
|
||||||
// l4l0 l3l0 l2l0 l1l0 l0l0 +
|
|
||||||
// l3l1 l2l1 l1l1 l0l1 19×l4l1 +
|
|
||||||
// l2l2 l1l2 l0l2 19×l4l2 19×l3l2 +
|
|
||||||
// l1l3 l0l3 19×l4l3 19×l3l3 19×l2l3 +
|
|
||||||
// l0l4 19×l4l4 19×l3l4 19×l2l4 19×l1l4 =
|
|
||||||
// --------------------------------------
|
|
||||||
// r4 r3 r2 r1 r0
|
|
||||||
//
|
|
||||||
// With precomputed 2×, 19×, and 2×19× terms, we can compute each limb with
|
|
||||||
// only three Mul64 and four Add64, instead of five and eight.
|
|
||||||
|
|
||||||
l0_2 := l0 * 2
|
|
||||||
l1_2 := l1 * 2
|
|
||||||
|
|
||||||
l1_38 := l1 * 38
|
|
||||||
l2_38 := l2 * 38
|
|
||||||
l3_38 := l3 * 38
|
|
||||||
|
|
||||||
l3_19 := l3 * 19
|
|
||||||
l4_19 := l4 * 19
|
|
||||||
|
|
||||||
// r0 = l0×l0 + 19×(l1×l4 + l2×l3 + l3×l2 + l4×l1) = l0×l0 + 19×2×(l1×l4 + l2×l3)
|
|
||||||
r0 := mul64(l0, l0)
|
|
||||||
r0 = addMul64(r0, l1_38, l4)
|
|
||||||
r0 = addMul64(r0, l2_38, l3)
|
|
||||||
|
|
||||||
// r1 = l0×l1 + l1×l0 + 19×(l2×l4 + l3×l3 + l4×l2) = 2×l0×l1 + 19×2×l2×l4 + 19×l3×l3
|
|
||||||
r1 := mul64(l0_2, l1)
|
|
||||||
r1 = addMul64(r1, l2_38, l4)
|
|
||||||
r1 = addMul64(r1, l3_19, l3)
|
|
||||||
|
|
||||||
// r2 = l0×l2 + l1×l1 + l2×l0 + 19×(l3×l4 + l4×l3) = 2×l0×l2 + l1×l1 + 19×2×l3×l4
|
|
||||||
r2 := mul64(l0_2, l2)
|
|
||||||
r2 = addMul64(r2, l1, l1)
|
|
||||||
r2 = addMul64(r2, l3_38, l4)
|
|
||||||
|
|
||||||
// r3 = l0×l3 + l1×l2 + l2×l1 + l3×l0 + 19×l4×l4 = 2×l0×l3 + 2×l1×l2 + 19×l4×l4
|
|
||||||
r3 := mul64(l0_2, l3)
|
|
||||||
r3 = addMul64(r3, l1_2, l2)
|
|
||||||
r3 = addMul64(r3, l4_19, l4)
|
|
||||||
|
|
||||||
// r4 = l0×l4 + l1×l3 + l2×l2 + l3×l1 + l4×l0 = 2×l0×l4 + 2×l1×l3 + l2×l2
|
|
||||||
r4 := mul64(l0_2, l4)
|
|
||||||
r4 = addMul64(r4, l1_2, l3)
|
|
||||||
r4 = addMul64(r4, l2, l2)
|
|
||||||
|
|
||||||
c0 := shiftRightBy51(r0)
|
|
||||||
c1 := shiftRightBy51(r1)
|
|
||||||
c2 := shiftRightBy51(r2)
|
|
||||||
c3 := shiftRightBy51(r3)
|
|
||||||
c4 := shiftRightBy51(r4)
|
|
||||||
|
|
||||||
rr0 := r0.lo&maskLow51Bits + c4*19
|
|
||||||
rr1 := r1.lo&maskLow51Bits + c0
|
|
||||||
rr2 := r2.lo&maskLow51Bits + c1
|
|
||||||
rr3 := r3.lo&maskLow51Bits + c2
|
|
||||||
rr4 := r4.lo&maskLow51Bits + c3
|
|
||||||
|
|
||||||
*v = Element{rr0, rr1, rr2, rr3, rr4}
|
|
||||||
v.carryPropagate()
|
|
||||||
}
|
|
||||||
|
|
||||||
// carryPropagateGeneric brings the limbs below 52 bits by applying the reduction
|
|
||||||
// identity (a * 2²⁵⁵ + b = a * 19 + b) to the l4 carry. TODO inline
|
|
||||||
func (v *Element) carryPropagateGeneric() *Element {
|
|
||||||
c0 := v.l0 >> 51
|
|
||||||
c1 := v.l1 >> 51
|
|
||||||
c2 := v.l2 >> 51
|
|
||||||
c3 := v.l3 >> 51
|
|
||||||
c4 := v.l4 >> 51
|
|
||||||
|
|
||||||
v.l0 = v.l0&maskLow51Bits + c4*19
|
|
||||||
v.l1 = v.l1&maskLow51Bits + c0
|
|
||||||
v.l2 = v.l2&maskLow51Bits + c1
|
|
||||||
v.l3 = v.l3&maskLow51Bits + c2
|
|
||||||
v.l4 = v.l4&maskLow51Bits + c3
|
|
||||||
|
|
||||||
return v
|
|
||||||
}
|
|
|
@ -1 +0,0 @@
|
||||||
b0c49ae9f59d233526f8934262c5bbbe14d4358d
|
|
|
@ -1,19 +0,0 @@
|
||||||
#! /bin/bash
|
|
||||||
set -euo pipefail
|
|
||||||
|
|
||||||
cd "$(git rev-parse --show-toplevel)"
|
|
||||||
|
|
||||||
STD_PATH=src/crypto/ed25519/internal/edwards25519/field
|
|
||||||
LOCAL_PATH=curve25519/internal/field
|
|
||||||
LAST_SYNC_REF=$(cat $LOCAL_PATH/sync.checkpoint)
|
|
||||||
|
|
||||||
git fetch https://go.googlesource.com/go master
|
|
||||||
|
|
||||||
if git diff --quiet $LAST_SYNC_REF:$STD_PATH FETCH_HEAD:$STD_PATH; then
|
|
||||||
echo "No changes."
|
|
||||||
else
|
|
||||||
NEW_REF=$(git rev-parse FETCH_HEAD | tee $LOCAL_PATH/sync.checkpoint)
|
|
||||||
echo "Applying changes from $LAST_SYNC_REF to $NEW_REF..."
|
|
||||||
git diff $LAST_SYNC_REF:$STD_PATH FETCH_HEAD:$STD_PATH | \
|
|
||||||
git apply -3 --directory=$LOCAL_PATH
|
|
||||||
fi
|
|
|
@ -11,9 +11,7 @@
|
||||||
// operations with the same key more efficient. This package refers to the RFC
|
// operations with the same key more efficient. This package refers to the RFC
|
||||||
// 8032 private key as the “seed”.
|
// 8032 private key as the “seed”.
|
||||||
//
|
//
|
||||||
// Beginning with Go 1.13, the functionality of this package was moved to the
|
// This package is a wrapper around the standard library crypto/ed25519 package.
|
||||||
// standard library as crypto/ed25519. This package only acts as a compatibility
|
|
||||||
// wrapper.
|
|
||||||
package ed25519
|
package ed25519
|
||||||
|
|
||||||
import (
|
import (
|
||||||
|
|
|
@ -16,7 +16,7 @@ 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
|
choose, you can pass the `New` functions from the different SHA packages to
|
||||||
pbkdf2.Key.
|
pbkdf2.Key.
|
||||||
*/
|
*/
|
||||||
package pbkdf2 // import "golang.org/x/crypto/pbkdf2"
|
package pbkdf2
|
||||||
|
|
||||||
import (
|
import (
|
||||||
"crypto/hmac"
|
"crypto/hmac"
|
||||||
|
|
|
@ -7,7 +7,7 @@
|
||||||
// Deprecated: RIPEMD-160 is a legacy hash and should not be used for new
|
// Deprecated: RIPEMD-160 is a legacy hash and should not be used for new
|
||||||
// applications. Also, this package does not and will not provide an optimized
|
// applications. Also, this package does not and will not provide an optimized
|
||||||
// implementation. Instead, use a modern hash like SHA-256 (from crypto/sha256).
|
// implementation. Instead, use a modern hash like SHA-256 (from crypto/sha256).
|
||||||
package ripemd160 // import "golang.org/x/crypto/ripemd160"
|
package ripemd160
|
||||||
|
|
||||||
// RIPEMD-160 is designed by Hans Dobbertin, Antoon Bosselaers, and Bart
|
// RIPEMD-160 is designed by Hans Dobbertin, Antoon Bosselaers, and Bart
|
||||||
// Preneel with specifications available at:
|
// Preneel with specifications available at:
|
||||||
|
|
|
@ -5,7 +5,7 @@
|
||||||
// Package scrypt implements the scrypt key derivation function as defined in
|
// Package scrypt implements the scrypt key derivation function as defined in
|
||||||
// Colin Percival's paper "Stronger Key Derivation via Sequential Memory-Hard
|
// Colin Percival's paper "Stronger Key Derivation via Sequential Memory-Hard
|
||||||
// Functions" (https://www.tarsnap.com/scrypt/scrypt.pdf).
|
// Functions" (https://www.tarsnap.com/scrypt/scrypt.pdf).
|
||||||
package scrypt // import "golang.org/x/crypto/scrypt"
|
package scrypt
|
||||||
|
|
||||||
import (
|
import (
|
||||||
"crypto/sha256"
|
"crypto/sha256"
|
||||||
|
|
|
@ -59,4 +59,4 @@
|
||||||
// They produce output of the same length, with the same security strengths
|
// They produce output of the same length, with the same security strengths
|
||||||
// against all attacks. This means, in particular, that SHA3-256 only has
|
// against all attacks. This means, in particular, that SHA3-256 only has
|
||||||
// 128-bit collision resistance, because its output length is 32 bytes.
|
// 128-bit collision resistance, because its output length is 32 bytes.
|
||||||
package sha3 // import "golang.org/x/crypto/sha3"
|
package sha3
|
||||||
|
|
|
@ -9,6 +9,7 @@ package sha3
|
||||||
// bytes.
|
// bytes.
|
||||||
|
|
||||||
import (
|
import (
|
||||||
|
"crypto"
|
||||||
"hash"
|
"hash"
|
||||||
)
|
)
|
||||||
|
|
||||||
|
@ -40,6 +41,13 @@ func New512() hash.Hash {
|
||||||
return new512()
|
return new512()
|
||||||
}
|
}
|
||||||
|
|
||||||
|
func init() {
|
||||||
|
crypto.RegisterHash(crypto.SHA3_224, New224)
|
||||||
|
crypto.RegisterHash(crypto.SHA3_256, New256)
|
||||||
|
crypto.RegisterHash(crypto.SHA3_384, New384)
|
||||||
|
crypto.RegisterHash(crypto.SHA3_512, New512)
|
||||||
|
}
|
||||||
|
|
||||||
func new224Generic() *state {
|
func new224Generic() *state {
|
||||||
return &state{rate: 144, outputLen: 28, dsbyte: 0x06}
|
return &state{rate: 144, outputLen: 28, dsbyte: 0x06}
|
||||||
}
|
}
|
||||||
|
|
|
@ -1,18 +0,0 @@
|
||||||
// Copyright 2014 The Go Authors. All rights reserved.
|
|
||||||
// Use of this source code is governed by a BSD-style
|
|
||||||
// license that can be found in the LICENSE file.
|
|
||||||
|
|
||||||
//go:build go1.4
|
|
||||||
|
|
||||||
package sha3
|
|
||||||
|
|
||||||
import (
|
|
||||||
"crypto"
|
|
||||||
)
|
|
||||||
|
|
||||||
func init() {
|
|
||||||
crypto.RegisterHash(crypto.SHA3_224, New224)
|
|
||||||
crypto.RegisterHash(crypto.SHA3_256, New256)
|
|
||||||
crypto.RegisterHash(crypto.SHA3_384, New384)
|
|
||||||
crypto.RegisterHash(crypto.SHA3_512, New512)
|
|
||||||
}
|
|
|
@ -71,6 +71,10 @@ func (c *connection) clientAuthenticate(config *ClientConfig) error {
|
||||||
for auth := AuthMethod(new(noneAuth)); auth != nil; {
|
for auth := AuthMethod(new(noneAuth)); auth != nil; {
|
||||||
ok, methods, err := auth.auth(sessionID, config.User, c.transport, config.Rand, extensions)
|
ok, methods, err := auth.auth(sessionID, config.User, c.transport, config.Rand, extensions)
|
||||||
if err != nil {
|
if err != nil {
|
||||||
|
// On disconnect, return error immediately
|
||||||
|
if _, ok := err.(*disconnectMsg); ok {
|
||||||
|
return err
|
||||||
|
}
|
||||||
// We return the error later if there is no other method left to
|
// We return the error later if there is no other method left to
|
||||||
// try.
|
// try.
|
||||||
ok = authFailure
|
ok = authFailure
|
||||||
|
|
|
@ -20,4 +20,4 @@ References:
|
||||||
This package does not fall under the stability promise of the Go language itself,
|
This package does not fall under the stability promise of the Go language itself,
|
||||||
so its API may be changed when pressing needs arise.
|
so its API may be changed when pressing needs arise.
|
||||||
*/
|
*/
|
||||||
package ssh // import "golang.org/x/crypto/ssh"
|
package ssh
|
||||||
|
|
|
@ -1052,8 +1052,8 @@ go.uber.org/multierr
|
||||||
# golang.org/x/arch v0.8.0
|
# golang.org/x/arch v0.8.0
|
||||||
## explicit; go 1.18
|
## explicit; go 1.18
|
||||||
golang.org/x/arch/x86/x86asm
|
golang.org/x/arch/x86/x86asm
|
||||||
# golang.org/x/crypto v0.24.0
|
# golang.org/x/crypto v0.25.0
|
||||||
## explicit; go 1.18
|
## explicit; go 1.20
|
||||||
golang.org/x/crypto/acme
|
golang.org/x/crypto/acme
|
||||||
golang.org/x/crypto/acme/autocert
|
golang.org/x/crypto/acme/autocert
|
||||||
golang.org/x/crypto/argon2
|
golang.org/x/crypto/argon2
|
||||||
|
@ -1063,7 +1063,6 @@ golang.org/x/crypto/blake2s
|
||||||
golang.org/x/crypto/blowfish
|
golang.org/x/crypto/blowfish
|
||||||
golang.org/x/crypto/chacha20
|
golang.org/x/crypto/chacha20
|
||||||
golang.org/x/crypto/curve25519
|
golang.org/x/crypto/curve25519
|
||||||
golang.org/x/crypto/curve25519/internal/field
|
|
||||||
golang.org/x/crypto/ed25519
|
golang.org/x/crypto/ed25519
|
||||||
golang.org/x/crypto/internal/alias
|
golang.org/x/crypto/internal/alias
|
||||||
golang.org/x/crypto/internal/poly1305
|
golang.org/x/crypto/internal/poly1305
|
||||||
|
|
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Reference in New Issue