vendor.conf: golang.org/x/crypto v0.1.0

Signed-off-by: Akihiro Suda <akihiro.suda.cz@hco.ntt.co.jp>

vendor.conf

@@ -73,7 +73,7 @@ github.com/xeipuuv/gojsonpointer                    02993c407bfbf5f6dae44c4f4b1c
 github.com/xeipuuv/gojsonreference                  bd5ef7bd5415a7ac448318e64f11a24cd21e594b
 github.com/xeipuuv/gojsonschema                     82fcdeb203eb6ab2a67d0a623d9c19e5e5a64927 # v1.2.0
 go.opencensus.io                                    d835ff86be02193d324330acdb7d65546b05f814 # v0.22.3
-golang.org/x/crypto                                 c1f2f97bffc9c53fc40a1a28a5b460094c0050d9
+golang.org/x/crypto                                 642fcc37f5043eadb2509c84b2769e729e7d27ef # v0.1.0
 golang.org/x/net                                    ab34263943818b32f575efc978a3d24e80b04bd7
 golang.org/x/oauth2                                 bf48bf16ab8d622ce64ec6ce98d2c98f916b6303
 golang.org/x/sync                                   cd5d95a43a6e21273425c7ae415d3df9ea832eeb

vendor/golang.org/x/crypto/README.md

@@ -1,5 +1,7 @@
 # Go Cryptography
 
+[![Go Reference](https://pkg.go.dev/badge/golang.org/x/crypto.svg)](https://pkg.go.dev/golang.org/x/crypto)
+
 This repository holds supplementary Go cryptography libraries.
 
 ## Download/Install

vendor/golang.org/x/crypto/chacha20/chacha_arm64.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build go1.11,!gccgo,!purego
+//go:build go1.11 && gc && !purego
+// +build go1.11,gc,!purego
 
 package chacha20
 

vendor/golang.org/x/crypto/chacha20/chacha_arm64.s

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build go1.11,!gccgo,!purego
+//go:build go1.11 && gc && !purego
+// +build go1.11,gc,!purego
 
 #include "textflag.h"
 

vendor/golang.org/x/crypto/chacha20/chacha_generic.go

@@ -12,7 +12,7 @@ import (
 	"errors"
 	"math/bits"
 
-	"golang.org/x/crypto/internal/subtle"
+	"golang.org/x/crypto/internal/alias"
 )
 
 const (
@@ -189,7 +189,7 @@ func (s *Cipher) XORKeyStream(dst, src []byte) {
 		panic("chacha20: output smaller than input")
 	}
 	dst = dst[:len(src)]
-	if subtle.InexactOverlap(dst, src) {
+	if alias.InexactOverlap(dst, src) {
 		panic("chacha20: invalid buffer overlap")
 	}
 

vendor/golang.org/x/crypto/chacha20/chacha_noasm.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !arm64,!s390x,!ppc64le arm64,!go1.11 gccgo purego
+//go:build (!arm64 && !s390x && !ppc64le) || (arm64 && !go1.11) || !gc || purego
+// +build !arm64,!s390x,!ppc64le arm64,!go1.11 !gc purego
 
 package chacha20
 

vendor/golang.org/x/crypto/chacha20/chacha_ppc64le.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 package chacha20
 

vendor/golang.org/x/crypto/chacha20/chacha_ppc64le.s

@@ -19,7 +19,8 @@
 // The differences in this and the original implementation are
 // due to the calling conventions and initialization of constants.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 #include "textflag.h"
 

vendor/golang.org/x/crypto/chacha20/chacha_s390x.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 package chacha20
 
@@ -14,6 +15,7 @@ const bufSize = 256
 
 // xorKeyStreamVX is an assembly implementation of XORKeyStream. It must only
 // be called when the vector facility is available. Implementation in asm_s390x.s.
+//
 //go:noescape
 func xorKeyStreamVX(dst, src []byte, key *[8]uint32, nonce *[3]uint32, counter *uint32)
 

vendor/golang.org/x/crypto/chacha20/chacha_s390x.s

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 #include "go_asm.h"
 #include "textflag.h"

vendor/golang.org/x/crypto/curve25519/curve25519.go

@@ -9,7 +9,10 @@ package curve25519 // import "golang.org/x/crypto/curve25519"
 
 import (
 	"crypto/subtle"
-	"fmt"
+	"errors"
+	"strconv"
+
+	"golang.org/x/crypto/curve25519/internal/field"
 )
 
 // ScalarMult sets dst to the product scalar * point.
@@ -18,7 +21,55 @@ import (
 // zeroes, irrespective of the scalar. Instead, use the X25519 function, which
 // will return an error.
 func ScalarMult(dst, scalar, point *[32]byte) {
-	scalarMult(dst, scalar, point)
+	var e [32]byte
+
+	copy(e[:], scalar[:])
+	e[0] &= 248
+	e[31] &= 127
+	e[31] |= 64
+
+	var x1, x2, z2, x3, z3, tmp0, tmp1 field.Element
+	x1.SetBytes(point[:])
+	x2.One()
+	x3.Set(&x1)
+	z3.One()
+
+	swap := 0
+	for pos := 254; pos >= 0; pos-- {
+		b := e[pos/8] >> uint(pos&7)
+		b &= 1
+		swap ^= int(b)
+		x2.Swap(&x3, swap)
+		z2.Swap(&z3, swap)
+		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())
 }
 
 // ScalarBaseMult sets dst to the product scalar * base where base is the
@@ -74,10 +125,10 @@ func X25519(scalar, point []byte) ([]byte, error) {
 func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
 	var in [32]byte
 	if l := len(scalar); l != 32 {
-		return nil, fmt.Errorf("bad scalar length: %d, expected %d", l, 32)
+		return nil, errors.New("bad scalar length: " + strconv.Itoa(l) + ", expected 32")
 	}
 	if l := len(point); l != 32 {
-		return nil, fmt.Errorf("bad point length: %d, expected %d", l, 32)
+		return nil, errors.New("bad point length: " + strconv.Itoa(l) + ", expected 32")
 	}
 	copy(in[:], scalar)
 	if &point[0] == &Basepoint[0] {
@@ -88,7 +139,7 @@ func x25519(dst *[32]byte, scalar, point []byte) ([]byte, error) {
 		copy(base[:], point)
 		ScalarMult(dst, &in, &base)
 		if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 {
-			return nil, fmt.Errorf("bad input point: low order point")
+			return nil, errors.New("bad input point: low order point")
 		}
 	}
 	return dst[:], nil

vendor/golang.org/x/crypto/curve25519/curve25519_amd64.go

@@ -1,240 +0,0 @@
-// Copyright 2012 The Go Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style
-// license that can be found in the LICENSE file.
-
-// +build amd64,!gccgo,!appengine,!purego
-
-package curve25519
-
-// These functions are implemented in the .s files. The names of the functions
-// in the rest of the file are also taken from the SUPERCOP sources to help
-// people following along.
-
-//go:noescape
-
-func cswap(inout *[5]uint64, v uint64)
-
-//go:noescape
-
-func ladderstep(inout *[5][5]uint64)
-
-//go:noescape
-
-func freeze(inout *[5]uint64)
-
-//go:noescape
-
-func mul(dest, a, b *[5]uint64)
-
-//go:noescape
-
-func square(out, in *[5]uint64)
-
-// mladder uses a Montgomery ladder to calculate (xr/zr) *= s.
-func mladder(xr, zr *[5]uint64, s *[32]byte) {
-	var work [5][5]uint64
-
-	work[0] = *xr
-	setint(&work[1], 1)
-	setint(&work[2], 0)
-	work[3] = *xr
-	setint(&work[4], 1)
-
-	j := uint(6)
-	var prevbit byte
-
-	for i := 31; i >= 0; i-- {
-		for j < 8 {
-			bit := ((*s)[i] >> j) & 1
-			swap := bit ^ prevbit
-			prevbit = bit
-			cswap(&work[1], uint64(swap))
-			ladderstep(&work)
-			j--
-		}
-		j = 7
-	}
-
-	*xr = work[1]
-	*zr = work[2]
-}
-
-func scalarMult(out, in, base *[32]byte) {
-	var e [32]byte
-	copy(e[:], (*in)[:])
-	e[0] &= 248
-	e[31] &= 127
-	e[31] |= 64
-
-	var t, z [5]uint64
-	unpack(&t, base)
-	mladder(&t, &z, &e)
-	invert(&z, &z)
-	mul(&t, &t, &z)
-	pack(out, &t)
-}
-
-func setint(r *[5]uint64, v uint64) {
-	r[0] = v
-	r[1] = 0
-	r[2] = 0
-	r[3] = 0
-	r[4] = 0
-}
-
-// unpack sets r = x where r consists of 5, 51-bit limbs in little-endian
-// order.
-func unpack(r *[5]uint64, x *[32]byte) {
-	r[0] = uint64(x[0]) |
-		uint64(x[1])<<8 |
-		uint64(x[2])<<16 |
-		uint64(x[3])<<24 |
-		uint64(x[4])<<32 |
-		uint64(x[5])<<40 |
-		uint64(x[6]&7)<<48
-
-	r[1] = uint64(x[6])>>3 |
-		uint64(x[7])<<5 |
-		uint64(x[8])<<13 |
-		uint64(x[9])<<21 |
-		uint64(x[10])<<29 |
-		uint64(x[11])<<37 |
-		uint64(x[12]&63)<<45
-
-	r[2] = uint64(x[12])>>6 |
-		uint64(x[13])<<2 |
-		uint64(x[14])<<10 |
-		uint64(x[15])<<18 |
-		uint64(x[16])<<26 |
-		uint64(x[17])<<34 |
-		uint64(x[18])<<42 |
-		uint64(x[19]&1)<<50
-
-	r[3] = uint64(x[19])>>1 |
-		uint64(x[20])<<7 |
-		uint64(x[21])<<15 |
-		uint64(x[22])<<23 |
-		uint64(x[23])<<31 |
-		uint64(x[24])<<39 |
-		uint64(x[25]&15)<<47
-
-	r[4] = uint64(x[25])>>4 |
-		uint64(x[26])<<4 |
-		uint64(x[27])<<12 |
-		uint64(x[28])<<20 |
-		uint64(x[29])<<28 |
-		uint64(x[30])<<36 |
-		uint64(x[31]&127)<<44
-}
-
-// pack sets out = x where out is the usual, little-endian form of the 5,
-// 51-bit limbs in x.
-func pack(out *[32]byte, x *[5]uint64) {
-	t := *x
-	freeze(&t)
-
-	out[0] = byte(t[0])
-	out[1] = byte(t[0] >> 8)
-	out[2] = byte(t[0] >> 16)
-	out[3] = byte(t[0] >> 24)
-	out[4] = byte(t[0] >> 32)
-	out[5] = byte(t[0] >> 40)
-	out[6] = byte(t[0] >> 48)
-
-	out[6] ^= byte(t[1]<<3) & 0xf8
-	out[7] = byte(t[1] >> 5)
-	out[8] = byte(t[1] >> 13)
-	out[9] = byte(t[1] >> 21)
-	out[10] = byte(t[1] >> 29)
-	out[11] = byte(t[1] >> 37)
-	out[12] = byte(t[1] >> 45)
-
-	out[12] ^= byte(t[2]<<6) & 0xc0
-	out[13] = byte(t[2] >> 2)
-	out[14] = byte(t[2] >> 10)
-	out[15] = byte(t[2] >> 18)
-	out[16] = byte(t[2] >> 26)
-	out[17] = byte(t[2] >> 34)
-	out[18] = byte(t[2] >> 42)
-	out[19] = byte(t[2] >> 50)
-
-	out[19] ^= byte(t[3]<<1) & 0xfe
-	out[20] = byte(t[3] >> 7)
-	out[21] = byte(t[3] >> 15)
-	out[22] = byte(t[3] >> 23)
-	out[23] = byte(t[3] >> 31)
-	out[24] = byte(t[3] >> 39)
-	out[25] = byte(t[3] >> 47)
-
-	out[25] ^= byte(t[4]<<4) & 0xf0
-	out[26] = byte(t[4] >> 4)
-	out[27] = byte(t[4] >> 12)
-	out[28] = byte(t[4] >> 20)
-	out[29] = byte(t[4] >> 28)
-	out[30] = byte(t[4] >> 36)
-	out[31] = byte(t[4] >> 44)
-}
-
-// invert calculates r = x^-1 mod p using Fermat's little theorem.
-func invert(r *[5]uint64, x *[5]uint64) {
-	var z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t [5]uint64
-
-	square(&z2, x)        /* 2 */
-	square(&t, &z2)       /* 4 */
-	square(&t, &t)        /* 8 */
-	mul(&z9, &t, x)       /* 9 */
-	mul(&z11, &z9, &z2)   /* 11 */
-	square(&t, &z11)      /* 22 */
-	mul(&z2_5_0, &t, &z9) /* 2^5 - 2^0 = 31 */
-
-	square(&t, &z2_5_0)      /* 2^6 - 2^1 */
-	for i := 1; i < 5; i++ { /* 2^20 - 2^10 */
-		square(&t, &t)
-	}
-	mul(&z2_10_0, &t, &z2_5_0) /* 2^10 - 2^0 */
-
-	square(&t, &z2_10_0)      /* 2^11 - 2^1 */
-	for i := 1; i < 10; i++ { /* 2^20 - 2^10 */
-		square(&t, &t)
-	}
-	mul(&z2_20_0, &t, &z2_10_0) /* 2^20 - 2^0 */
-
-	square(&t, &z2_20_0)      /* 2^21 - 2^1 */
-	for i := 1; i < 20; i++ { /* 2^40 - 2^20 */
-		square(&t, &t)
-	}
-	mul(&t, &t, &z2_20_0) /* 2^40 - 2^0 */
-
-	square(&t, &t)            /* 2^41 - 2^1 */
-	for i := 1; i < 10; i++ { /* 2^50 - 2^10 */
-		square(&t, &t)
-	}
-	mul(&z2_50_0, &t, &z2_10_0) /* 2^50 - 2^0 */
-
-	square(&t, &z2_50_0)      /* 2^51 - 2^1 */
-	for i := 1; i < 50; i++ { /* 2^100 - 2^50 */
-		square(&t, &t)
-	}
-	mul(&z2_100_0, &t, &z2_50_0) /* 2^100 - 2^0 */
-
-	square(&t, &z2_100_0)      /* 2^101 - 2^1 */
-	for i := 1; i < 100; i++ { /* 2^200 - 2^100 */
-		square(&t, &t)
-	}
-	mul(&t, &t, &z2_100_0) /* 2^200 - 2^0 */
-
-	square(&t, &t)            /* 2^201 - 2^1 */
-	for i := 1; i < 50; i++ { /* 2^250 - 2^50 */
-		square(&t, &t)
-	}
-	mul(&t, &t, &z2_50_0) /* 2^250 - 2^0 */
-
-	square(&t, &t) /* 2^251 - 2^1 */
-	square(&t, &t) /* 2^252 - 2^2 */
-	square(&t, &t) /* 2^253 - 2^3 */
-
-	square(&t, &t) /* 2^254 - 2^4 */
-
-	square(&t, &t)   /* 2^255 - 2^5 */
-	mul(r, &t, &z11) /* 2^255 - 21 */
-}

vendor/golang.org/x/crypto/curve25519/curve25519_generic.go

@@ -1,828 +0,0 @@
-// Copyright 2013 The Go Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style
-// license that can be found in the LICENSE file.
-
-package curve25519
-
-import "encoding/binary"
-
-// This code is a port of the public domain, "ref10" implementation of
-// curve25519 from SUPERCOP 20130419 by D. J. Bernstein.
-
-// 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
-
-func feZero(fe *fieldElement) {
-	for i := range fe {
-		fe[i] = 0
-	}
-}
-
-func feOne(fe *fieldElement) {
-	feZero(fe)
-	fe[0] = 1
-}
-
-func feAdd(dst, a, b *fieldElement) {
-	for i := range dst {
-		dst[i] = a[i] + b[i]
-	}
-}
-
-func feSub(dst, a, b *fieldElement) {
-	for i := range dst {
-		dst[i] = a[i] - b[i]
-	}
-}
-
-func feCopy(dst, src *fieldElement) {
-	for i := range dst {
-		dst[i] = src[i]
-	}
-}
-
-// feCSwap replaces (f,g) with (g,f) if b == 1; replaces (f,g) with (f,g) if b == 0.
-//
-// Preconditions: b in {0,1}.
-func feCSwap(f, g *fieldElement, b int32) {
-	b = -b
-	for i := range f {
-		t := b & (f[i] ^ g[i])
-		f[i] ^= t
-		g[i] ^= t
-	}
-}
-
-// load3 reads a 24-bit, little-endian value from in.
-func load3(in []byte) int64 {
-	var r int64
-	r = int64(in[0])
-	r |= int64(in[1]) << 8
-	r |= int64(in[2]) << 16
-	return r
-}
-
-// load4 reads a 32-bit, little-endian value from in.
-func load4(in []byte) int64 {
-	return int64(binary.LittleEndian.Uint32(in))
-}
-
-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:]) & 0x7fffff) << 2
-
-	var carry [10]int64
-	carry[9] = (h9 + 1<<24) >> 25
-	h0 += carry[9] * 19
-	h9 -= carry[9] << 25
-	carry[1] = (h1 + 1<<24) >> 25
-	h2 += carry[1]
-	h1 -= carry[1] << 25
-	carry[3] = (h3 + 1<<24) >> 25
-	h4 += carry[3]
-	h3 -= carry[3] << 25
-	carry[5] = (h5 + 1<<24) >> 25
-	h6 += carry[5]
-	h5 -= carry[5] << 25
-	carry[7] = (h7 + 1<<24) >> 25
-	h8 += carry[7]
-	h7 -= carry[7] << 25
-
-	carry[0] = (h0 + 1<<25) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 26
-	carry[2] = (h2 + 1<<25) >> 26
-	h3 += carry[2]
-	h2 -= carry[2] << 26
-	carry[4] = (h4 + 1<<25) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-	carry[6] = (h6 + 1<<25) >> 26
-	h7 += carry[6]
-	h6 -= carry[6] << 26
-	carry[8] = (h8 + 1<<25) >> 26
-	h9 += carry[8]
-	h8 -= carry[8] << 26
-
-	dst[0] = int32(h0)
-	dst[1] = int32(h1)
-	dst[2] = int32(h2)
-	dst[3] = int32(h3)
-	dst[4] = int32(h4)
-	dst[5] = int32(h5)
-	dst[6] = int32(h6)
-	dst[7] = int32(h7)
-	dst[8] = int32(h8)
-	dst[9] = int32(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)
-}
-
-// 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 := f[0]
-	f1 := f[1]
-	f2 := f[2]
-	f3 := f[3]
-	f4 := f[4]
-	f5 := f[5]
-	f6 := f[6]
-	f7 := f[7]
-	f8 := f[8]
-	f9 := f[9]
-	g0 := g[0]
-	g1 := g[1]
-	g2 := g[2]
-	g3 := g[3]
-	g4 := g[4]
-	g5 := g[5]
-	g6 := g[6]
-	g7 := g[7]
-	g8 := g[8]
-	g9 := g[9]
-	g1_19 := 19 * g1 // 1.4*2^29
-	g2_19 := 19 * g2 // 1.4*2^30; still ok
-	g3_19 := 19 * g3
-	g4_19 := 19 * g4
-	g5_19 := 19 * g5
-	g6_19 := 19 * g6
-	g7_19 := 19 * g7
-	g8_19 := 19 * g8
-	g9_19 := 19 * g9
-	f1_2 := 2 * f1
-	f3_2 := 2 * f3
-	f5_2 := 2 * f5
-	f7_2 := 2 * f7
-	f9_2 := 2 * f9
-	f0g0 := int64(f0) * int64(g0)
-	f0g1 := int64(f0) * int64(g1)
-	f0g2 := int64(f0) * int64(g2)
-	f0g3 := int64(f0) * int64(g3)
-	f0g4 := int64(f0) * int64(g4)
-	f0g5 := int64(f0) * int64(g5)
-	f0g6 := int64(f0) * int64(g6)
-	f0g7 := int64(f0) * int64(g7)
-	f0g8 := int64(f0) * int64(g8)
-	f0g9 := int64(f0) * int64(g9)
-	f1g0 := int64(f1) * int64(g0)
-	f1g1_2 := int64(f1_2) * int64(g1)
-	f1g2 := int64(f1) * int64(g2)
-	f1g3_2 := int64(f1_2) * int64(g3)
-	f1g4 := int64(f1) * int64(g4)
-	f1g5_2 := int64(f1_2) * int64(g5)
-	f1g6 := int64(f1) * int64(g6)
-	f1g7_2 := int64(f1_2) * int64(g7)
-	f1g8 := int64(f1) * int64(g8)
-	f1g9_38 := int64(f1_2) * int64(g9_19)
-	f2g0 := int64(f2) * int64(g0)
-	f2g1 := int64(f2) * int64(g1)
-	f2g2 := int64(f2) * int64(g2)
-	f2g3 := int64(f2) * int64(g3)
-	f2g4 := int64(f2) * int64(g4)
-	f2g5 := int64(f2) * int64(g5)
-	f2g6 := int64(f2) * int64(g6)
-	f2g7 := int64(f2) * int64(g7)
-	f2g8_19 := int64(f2) * int64(g8_19)
-	f2g9_19 := int64(f2) * int64(g9_19)
-	f3g0 := int64(f3) * int64(g0)
-	f3g1_2 := int64(f3_2) * int64(g1)
-	f3g2 := int64(f3) * int64(g2)
-	f3g3_2 := int64(f3_2) * int64(g3)
-	f3g4 := int64(f3) * int64(g4)
-	f3g5_2 := int64(f3_2) * int64(g5)
-	f3g6 := int64(f3) * int64(g6)
-	f3g7_38 := int64(f3_2) * int64(g7_19)
-	f3g8_19 := int64(f3) * int64(g8_19)
-	f3g9_38 := int64(f3_2) * int64(g9_19)
-	f4g0 := int64(f4) * int64(g0)
-	f4g1 := int64(f4) * int64(g1)
-	f4g2 := int64(f4) * int64(g2)
-	f4g3 := int64(f4) * int64(g3)
-	f4g4 := int64(f4) * int64(g4)
-	f4g5 := int64(f4) * int64(g5)
-	f4g6_19 := int64(f4) * int64(g6_19)
-	f4g7_19 := int64(f4) * int64(g7_19)
-	f4g8_19 := int64(f4) * int64(g8_19)
-	f4g9_19 := int64(f4) * int64(g9_19)
-	f5g0 := int64(f5) * int64(g0)
-	f5g1_2 := int64(f5_2) * int64(g1)
-	f5g2 := int64(f5) * int64(g2)
-	f5g3_2 := int64(f5_2) * int64(g3)
-	f5g4 := int64(f5) * int64(g4)
-	f5g5_38 := int64(f5_2) * int64(g5_19)
-	f5g6_19 := int64(f5) * int64(g6_19)
-	f5g7_38 := int64(f5_2) * int64(g7_19)
-	f5g8_19 := int64(f5) * int64(g8_19)
-	f5g9_38 := int64(f5_2) * int64(g9_19)
-	f6g0 := int64(f6) * int64(g0)
-	f6g1 := int64(f6) * int64(g1)
-	f6g2 := int64(f6) * int64(g2)
-	f6g3 := int64(f6) * int64(g3)
-	f6g4_19 := int64(f6) * int64(g4_19)
-	f6g5_19 := int64(f6) * int64(g5_19)
-	f6g6_19 := int64(f6) * int64(g6_19)
-	f6g7_19 := int64(f6) * int64(g7_19)
-	f6g8_19 := int64(f6) * int64(g8_19)
-	f6g9_19 := int64(f6) * int64(g9_19)
-	f7g0 := int64(f7) * int64(g0)
-	f7g1_2 := int64(f7_2) * int64(g1)
-	f7g2 := int64(f7) * int64(g2)
-	f7g3_38 := int64(f7_2) * int64(g3_19)
-	f7g4_19 := int64(f7) * int64(g4_19)
-	f7g5_38 := int64(f7_2) * int64(g5_19)
-	f7g6_19 := int64(f7) * int64(g6_19)
-	f7g7_38 := int64(f7_2) * int64(g7_19)
-	f7g8_19 := int64(f7) * int64(g8_19)
-	f7g9_38 := int64(f7_2) * int64(g9_19)
-	f8g0 := int64(f8) * int64(g0)
-	f8g1 := int64(f8) * int64(g1)
-	f8g2_19 := int64(f8) * int64(g2_19)
-	f8g3_19 := int64(f8) * int64(g3_19)
-	f8g4_19 := int64(f8) * int64(g4_19)
-	f8g5_19 := int64(f8) * int64(g5_19)
-	f8g6_19 := int64(f8) * int64(g6_19)
-	f8g7_19 := int64(f8) * int64(g7_19)
-	f8g8_19 := int64(f8) * int64(g8_19)
-	f8g9_19 := int64(f8) * int64(g9_19)
-	f9g0 := int64(f9) * int64(g0)
-	f9g1_38 := int64(f9_2) * int64(g1_19)
-	f9g2_19 := int64(f9) * int64(g2_19)
-	f9g3_38 := int64(f9_2) * int64(g3_19)
-	f9g4_19 := int64(f9) * int64(g4_19)
-	f9g5_38 := int64(f9_2) * int64(g5_19)
-	f9g6_19 := int64(f9) * int64(g6_19)
-	f9g7_38 := int64(f9_2) * int64(g7_19)
-	f9g8_19 := int64(f9) * int64(g8_19)
-	f9g9_38 := int64(f9_2) * int64(g9_19)
-	h0 := f0g0 + f1g9_38 + f2g8_19 + f3g7_38 + f4g6_19 + f5g5_38 + f6g4_19 + f7g3_38 + f8g2_19 + f9g1_38
-	h1 := f0g1 + f1g0 + f2g9_19 + f3g8_19 + f4g7_19 + f5g6_19 + f6g5_19 + f7g4_19 + f8g3_19 + f9g2_19
-	h2 := f0g2 + f1g1_2 + f2g0 + f3g9_38 + f4g8_19 + f5g7_38 + f6g6_19 + f7g5_38 + f8g4_19 + f9g3_38
-	h3 := f0g3 + f1g2 + f2g1 + f3g0 + f4g9_19 + f5g8_19 + f6g7_19 + f7g6_19 + f8g5_19 + f9g4_19
-	h4 := f0g4 + f1g3_2 + f2g2 + f3g1_2 + f4g0 + f5g9_38 + f6g8_19 + f7g7_38 + f8g6_19 + f9g5_38
-	h5 := f0g5 + f1g4 + f2g3 + f3g2 + f4g1 + f5g0 + f6g9_19 + f7g8_19 + f8g7_19 + f9g6_19
-	h6 := f0g6 + f1g5_2 + f2g4 + f3g3_2 + f4g2 + f5g1_2 + f6g0 + f7g9_38 + f8g8_19 + f9g7_38
-	h7 := f0g7 + f1g6 + f2g5 + f3g4 + f4g3 + f5g2 + f6g1 + f7g0 + f8g9_19 + f9g8_19
-	h8 := f0g8 + f1g7_2 + f2g6 + f3g5_2 + f4g4 + f5g3_2 + f6g2 + f7g1_2 + f8g0 + f9g9_38
-	h9 := f0g9 + f1g8 + f2g7 + f3g6 + f4g5 + f5g4 + f6g3 + f7g2 + f8g1 + f9g0
-	var carry [10]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
-
-	carry[0] = (h0 + (1 << 25)) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 26
-	carry[4] = (h4 + (1 << 25)) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-	// |h0| <= 2^25
-	// |h4| <= 2^25
-	// |h1| <= 1.51*2^58
-	// |h5| <= 1.51*2^58
-
-	carry[1] = (h1 + (1 << 24)) >> 25
-	h2 += carry[1]
-	h1 -= carry[1] << 25
-	carry[5] = (h5 + (1 << 24)) >> 25
-	h6 += carry[5]
-	h5 -= carry[5] << 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
-
-	carry[2] = (h2 + (1 << 25)) >> 26
-	h3 += carry[2]
-	h2 -= carry[2] << 26
-	carry[6] = (h6 + (1 << 25)) >> 26
-	h7 += carry[6]
-	h6 -= carry[6] << 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
-
-	carry[3] = (h3 + (1 << 24)) >> 25
-	h4 += carry[3]
-	h3 -= carry[3] << 25
-	carry[7] = (h7 + (1 << 24)) >> 25
-	h8 += carry[7]
-	h7 -= carry[7] << 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
-
-	carry[4] = (h4 + (1 << 25)) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-	carry[8] = (h8 + (1 << 25)) >> 26
-	h9 += carry[8]
-	h8 -= carry[8] << 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
-
-	carry[9] = (h9 + (1 << 24)) >> 25
-	h0 += carry[9] * 19
-	h9 -= carry[9] << 25
-	// |h9| <= 2^24; from now on fits into int32 unchanged
-	// |h0| <= 1.8*2^37
-
-	carry[0] = (h0 + (1 << 25)) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 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)
-}
-
-// 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) {
-	f0 := f[0]
-	f1 := f[1]
-	f2 := f[2]
-	f3 := f[3]
-	f4 := f[4]
-	f5 := f[5]
-	f6 := f[6]
-	f7 := f[7]
-	f8 := f[8]
-	f9 := f[9]
-	f0_2 := 2 * f0
-	f1_2 := 2 * f1
-	f2_2 := 2 * f2
-	f3_2 := 2 * f3
-	f4_2 := 2 * f4
-	f5_2 := 2 * f5
-	f6_2 := 2 * f6
-	f7_2 := 2 * f7
-	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
-	f0f0 := int64(f0) * int64(f0)
-	f0f1_2 := int64(f0_2) * int64(f1)
-	f0f2_2 := int64(f0_2) * int64(f2)
-	f0f3_2 := int64(f0_2) * int64(f3)
-	f0f4_2 := int64(f0_2) * int64(f4)
-	f0f5_2 := int64(f0_2) * int64(f5)
-	f0f6_2 := int64(f0_2) * int64(f6)
-	f0f7_2 := int64(f0_2) * int64(f7)
-	f0f8_2 := int64(f0_2) * int64(f8)
-	f0f9_2 := int64(f0_2) * int64(f9)
-	f1f1_2 := int64(f1_2) * int64(f1)
-	f1f2_2 := int64(f1_2) * int64(f2)
-	f1f3_4 := int64(f1_2) * int64(f3_2)
-	f1f4_2 := int64(f1_2) * int64(f4)
-	f1f5_4 := int64(f1_2) * int64(f5_2)
-	f1f6_2 := int64(f1_2) * int64(f6)
-	f1f7_4 := int64(f1_2) * int64(f7_2)
-	f1f8_2 := int64(f1_2) * int64(f8)
-	f1f9_76 := int64(f1_2) * int64(f9_38)
-	f2f2 := int64(f2) * int64(f2)
-	f2f3_2 := int64(f2_2) * int64(f3)
-	f2f4_2 := int64(f2_2) * int64(f4)
-	f2f5_2 := int64(f2_2) * int64(f5)
-	f2f6_2 := int64(f2_2) * int64(f6)
-	f2f7_2 := int64(f2_2) * int64(f7)
-	f2f8_38 := int64(f2_2) * int64(f8_19)
-	f2f9_38 := int64(f2) * int64(f9_38)
-	f3f3_2 := int64(f3_2) * int64(f3)
-	f3f4_2 := int64(f3_2) * int64(f4)
-	f3f5_4 := int64(f3_2) * int64(f5_2)
-	f3f6_2 := int64(f3_2) * int64(f6)
-	f3f7_76 := int64(f3_2) * int64(f7_38)
-	f3f8_38 := int64(f3_2) * int64(f8_19)
-	f3f9_76 := int64(f3_2) * int64(f9_38)
-	f4f4 := int64(f4) * int64(f4)
-	f4f5_2 := int64(f4_2) * int64(f5)
-	f4f6_38 := int64(f4_2) * int64(f6_19)
-	f4f7_38 := int64(f4) * int64(f7_38)
-	f4f8_38 := int64(f4_2) * int64(f8_19)
-	f4f9_38 := int64(f4) * int64(f9_38)
-	f5f5_38 := int64(f5) * int64(f5_38)
-	f5f6_38 := int64(f5_2) * int64(f6_19)
-	f5f7_76 := int64(f5_2) * int64(f7_38)
-	f5f8_38 := int64(f5_2) * int64(f8_19)
-	f5f9_76 := int64(f5_2) * int64(f9_38)
-	f6f6_19 := int64(f6) * int64(f6_19)
-	f6f7_38 := int64(f6) * int64(f7_38)
-	f6f8_38 := int64(f6_2) * int64(f8_19)
-	f6f9_38 := int64(f6) * int64(f9_38)
-	f7f7_38 := int64(f7) * int64(f7_38)
-	f7f8_38 := int64(f7_2) * int64(f8_19)
-	f7f9_76 := int64(f7_2) * int64(f9_38)
-	f8f8_19 := int64(f8) * int64(f8_19)
-	f8f9_38 := int64(f8) * int64(f9_38)
-	f9f9_38 := int64(f9) * int64(f9_38)
-	h0 := f0f0 + f1f9_76 + f2f8_38 + f3f7_76 + f4f6_38 + f5f5_38
-	h1 := f0f1_2 + f2f9_38 + f3f8_38 + f4f7_38 + f5f6_38
-	h2 := f0f2_2 + f1f1_2 + f3f9_76 + f4f8_38 + f5f7_76 + f6f6_19
-	h3 := f0f3_2 + f1f2_2 + f4f9_38 + f5f8_38 + f6f7_38
-	h4 := f0f4_2 + f1f3_4 + f2f2 + f5f9_76 + f6f8_38 + f7f7_38
-	h5 := f0f5_2 + f1f4_2 + f2f3_2 + f6f9_38 + f7f8_38
-	h6 := f0f6_2 + f1f5_4 + f2f4_2 + f3f3_2 + f7f9_76 + f8f8_19
-	h7 := f0f7_2 + f1f6_2 + f2f5_2 + f3f4_2 + f8f9_38
-	h8 := f0f8_2 + f1f7_4 + f2f6_2 + f3f5_4 + f4f4 + f9f9_38
-	h9 := f0f9_2 + f1f8_2 + f2f7_2 + f3f6_2 + f4f5_2
-	var carry [10]int64
-
-	carry[0] = (h0 + (1 << 25)) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 26
-	carry[4] = (h4 + (1 << 25)) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-
-	carry[1] = (h1 + (1 << 24)) >> 25
-	h2 += carry[1]
-	h1 -= carry[1] << 25
-	carry[5] = (h5 + (1 << 24)) >> 25
-	h6 += carry[5]
-	h5 -= carry[5] << 25
-
-	carry[2] = (h2 + (1 << 25)) >> 26
-	h3 += carry[2]
-	h2 -= carry[2] << 26
-	carry[6] = (h6 + (1 << 25)) >> 26
-	h7 += carry[6]
-	h6 -= carry[6] << 26
-
-	carry[3] = (h3 + (1 << 24)) >> 25
-	h4 += carry[3]
-	h3 -= carry[3] << 25
-	carry[7] = (h7 + (1 << 24)) >> 25
-	h8 += carry[7]
-	h7 -= carry[7] << 25
-
-	carry[4] = (h4 + (1 << 25)) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-	carry[8] = (h8 + (1 << 25)) >> 26
-	h9 += carry[8]
-	h8 -= carry[8] << 26
-
-	carry[9] = (h9 + (1 << 24)) >> 25
-	h0 += carry[9] * 19
-	h9 -= carry[9] << 25
-
-	carry[0] = (h0 + (1 << 25)) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 26
-
-	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)
-}
-
-// feMul121666 calculates h = f * 121666. 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 feMul121666(h, f *fieldElement) {
-	h0 := int64(f[0]) * 121666
-	h1 := int64(f[1]) * 121666
-	h2 := int64(f[2]) * 121666
-	h3 := int64(f[3]) * 121666
-	h4 := int64(f[4]) * 121666
-	h5 := int64(f[5]) * 121666
-	h6 := int64(f[6]) * 121666
-	h7 := int64(f[7]) * 121666
-	h8 := int64(f[8]) * 121666
-	h9 := int64(f[9]) * 121666
-	var carry [10]int64
-
-	carry[9] = (h9 + (1 << 24)) >> 25
-	h0 += carry[9] * 19
-	h9 -= carry[9] << 25
-	carry[1] = (h1 + (1 << 24)) >> 25
-	h2 += carry[1]
-	h1 -= carry[1] << 25
-	carry[3] = (h3 + (1 << 24)) >> 25
-	h4 += carry[3]
-	h3 -= carry[3] << 25
-	carry[5] = (h5 + (1 << 24)) >> 25
-	h6 += carry[5]
-	h5 -= carry[5] << 25
-	carry[7] = (h7 + (1 << 24)) >> 25
-	h8 += carry[7]
-	h7 -= carry[7] << 25
-
-	carry[0] = (h0 + (1 << 25)) >> 26
-	h1 += carry[0]
-	h0 -= carry[0] << 26
-	carry[2] = (h2 + (1 << 25)) >> 26
-	h3 += carry[2]
-	h2 -= carry[2] << 26
-	carry[4] = (h4 + (1 << 25)) >> 26
-	h5 += carry[4]
-	h4 -= carry[4] << 26
-	carry[6] = (h6 + (1 << 25)) >> 26
-	h7 += carry[6]
-	h6 -= carry[6] << 26
-	carry[8] = (h8 + (1 << 25)) >> 26
-	h9 += carry[8]
-	h8 -= carry[8] << 26
-
-	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)
-}
-
-// feInvert sets out = z^-1.
-func feInvert(out, z *fieldElement) {
-	var t0, t1, t2, t3 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(&t2, &t0)
-	for i = 1; i < 1; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t1, &t1, &t2)
-	feSquare(&t2, &t1)
-	for i = 1; i < 5; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t1, &t2, &t1)
-	feSquare(&t2, &t1)
-	for i = 1; i < 10; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t2, &t2, &t1)
-	feSquare(&t3, &t2)
-	for i = 1; i < 20; i++ {
-		feSquare(&t3, &t3)
-	}
-	feMul(&t2, &t3, &t2)
-	feSquare(&t2, &t2)
-	for i = 1; i < 10; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t1, &t2, &t1)
-	feSquare(&t2, &t1)
-	for i = 1; i < 50; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t2, &t2, &t1)
-	feSquare(&t3, &t2)
-	for i = 1; i < 100; i++ {
-		feSquare(&t3, &t3)
-	}
-	feMul(&t2, &t3, &t2)
-	feSquare(&t2, &t2)
-	for i = 1; i < 50; i++ {
-		feSquare(&t2, &t2)
-	}
-	feMul(&t1, &t2, &t1)
-	feSquare(&t1, &t1)
-	for i = 1; i < 5; i++ {
-		feSquare(&t1, &t1)
-	}
-	feMul(out, &t1, &t0)
-}
-
-func scalarMultGeneric(out, in, base *[32]byte) {
-	var e [32]byte
-
-	copy(e[:], in[:])
-	e[0] &= 248
-	e[31] &= 127
-	e[31] |= 64
-
-	var x1, x2, z2, x3, z3, tmp0, tmp1 fieldElement
-	feFromBytes(&x1, base)
-	feOne(&x2)
-	feCopy(&x3, &x1)
-	feOne(&z3)
-
-	swap := int32(0)
-	for pos := 254; pos >= 0; pos-- {
-		b := e[pos/8] >> uint(pos&7)
-		b &= 1
-		swap ^= int32(b)
-		feCSwap(&x2, &x3, swap)
-		feCSwap(&z2, &z3, swap)
-		swap = int32(b)
-
-		feSub(&tmp0, &x3, &z3)
-		feSub(&tmp1, &x2, &z2)
-		feAdd(&x2, &x2, &z2)
-		feAdd(&z2, &x3, &z3)
-		feMul(&z3, &tmp0, &x2)
-		feMul(&z2, &z2, &tmp1)
-		feSquare(&tmp0, &tmp1)
-		feSquare(&tmp1, &x2)
-		feAdd(&x3, &z3, &z2)
-		feSub(&z2, &z3, &z2)
-		feMul(&x2, &tmp1, &tmp0)
-		feSub(&tmp1, &tmp1, &tmp0)
-		feSquare(&z2, &z2)
-		feMul121666(&z3, &tmp1)
-		feSquare(&x3, &x3)
-		feAdd(&tmp0, &tmp0, &z3)
-		feMul(&z3, &x1, &z2)
-		feMul(&z2, &tmp1, &tmp0)
-	}
-
-	feCSwap(&x2, &x3, swap)
-	feCSwap(&z2, &z3, swap)
-
-	feInvert(&z2, &z2)
-	feMul(&x2, &x2, &z2)
-	feToBytes(out, &x2)
-}

vendor/golang.org/x/crypto/curve25519/curve25519_noasm.go

@@ -1,11 +0,0 @@
-// 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.
-
-// +build !amd64 gccgo appengine purego
-
-package curve25519
-
-func scalarMult(out, in, base *[32]byte) {
-	scalarMultGeneric(out, in, base)
-}

vendor/golang.org/x/crypto/curve25519/internal/field/README

@@ -0,0 +1,7 @@
+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.

vendor/golang.org/x/crypto/curve25519/internal/field/fe.go

@@ -0,0 +1,416 @@
+// 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
+}

vendor/golang.org/x/crypto/curve25519/internal/field/fe_amd64.go

@@ -0,0 +1,16 @@
+// 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
+// +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)

vendor/golang.org/x/crypto/curve25519/internal/field/fe_amd64.s

@@ -0,0 +1,379 @@
+// 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
+// +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

vendor/golang.org/x/crypto/curve25519/internal/field/fe_amd64_noasm.go

@@ -0,0 +1,12 @@
+// 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
+// +build !amd64 !gc purego
+
+package field
+
+func feMul(v, x, y *Element) { feMulGeneric(v, x, y) }
+
+func feSquare(v, x *Element) { feSquareGeneric(v, x) }

vendor/golang.org/x/crypto/curve25519/internal/field/fe_arm64.go

@@ -0,0 +1,16 @@
+// 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
+// +build arm64,gc,!purego
+
+package field
+
+//go:noescape
+func carryPropagate(v *Element)
+
+func (v *Element) carryPropagate() *Element {
+	carryPropagate(v)
+	return v
+}

vendor/golang.org/x/crypto/curve25519/internal/field/fe_arm64.s

@@ -0,0 +1,43 @@
+// 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
+// +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

vendor/golang.org/x/crypto/curve25519/internal/field/fe_arm64_noasm.go

@@ -0,0 +1,12 @@
+// 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
+// +build !arm64 !gc purego
+
+package field
+
+func (v *Element) carryPropagate() *Element {
+	return v.carryPropagateGeneric()
+}

vendor/golang.org/x/crypto/curve25519/internal/field/fe_generic.go

@@ -0,0 +1,264 @@
+// 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()
+}
+
+// carryPropagate 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
+}

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

@@ -1,12 +1,7 @@
-// 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.
-//
-// +build !go1.13
-
 // Package ed25519 implements the Ed25519 signature algorithm. See
 // https://ed25519.cr.yp.to/.
 //
@@ -15,21 +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/ed25519"
-	"crypto"
-	cryptorand "crypto/rand"
-	"crypto/sha512"
-	"errors"
 	"io"
-	"strconv"
-
-	"golang.org/x/crypto/ed25519/internal/edwards25519"
 )
 
 const (
@@ -44,57 +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
+//
-
+// This type is an alias for crypto/ed25519's PrivateKey type.
-// Public returns the PublicKey corresponding to priv.
+// See the crypto/ed25519 package for the methods on this type.
-func (priv PrivateKey) Public() crypto.PublicKey {
+type PrivateKey = ed25519.PrivateKey
-	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
-}
 
 // 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 {
+	return ed25519.GenerateKey(rand)
-		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
 }
 
 // NewKeyFromSeed calculates a private key from a seed. It will panic if
@@ -102,121 +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 {
+	return ed25519.NewKeyFromSeed(seed)
-		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
 }
 
 // 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 {
+	return ed25519.Sign(privateKey, message)
-		panic("ed25519: bad private key length: " + strconv.Itoa(l))
-	}
-
-	h := sha512.New()
-	h.Write(privateKey[:32])
-
-	var digest1, messageDigest, hramDigest [64]byte
-	var expandedSecretKey [32]byte
-	h.Sum(digest1[:0])
-	copy(expandedSecretKey[:], digest1[:])
-	expandedSecretKey[0] &= 248
-	expandedSecretKey[31] &= 63
-	expandedSecretKey[31] |= 64
-
-	h.Reset()
-	h.Write(digest1[32:])
-	h.Write(message)
-	h.Sum(messageDigest[:0])
-
-	var messageDigestReduced [32]byte
-	edwards25519.ScReduce(&messageDigestReduced, &messageDigest)
-	var R edwards25519.ExtendedGroupElement
-	edwards25519.GeScalarMultBase(&R, &messageDigestReduced)
-
-	var encodedR [32]byte
-	R.ToBytes(&encodedR)
-
-	h.Reset()
-	h.Write(encodedR[:])
-	h.Write(privateKey[32:])
-	h.Write(message)
-	h.Sum(hramDigest[:0])
-	var hramDigestReduced [32]byte
-	edwards25519.ScReduce(&hramDigestReduced, &hramDigest)
-
-	var s [32]byte
-	edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced)
-
-	signature := make([]byte, SignatureSize)
-	copy(signature[:], encodedR[:])
-	copy(signature[32:], s[:])
-
-	return signature
 }
 
 // Verify reports whether sig is a valid signature of message by publicKey. It
 // will panic if len(publicKey) is not PublicKeySize.
 func Verify(publicKey PublicKey, message, sig []byte) bool {
-	if l := len(publicKey); l != PublicKeySize {
+	return ed25519.Verify(publicKey, message, sig)
-		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[:])
 }

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

@@ -1,73 +0,0 @@
-// 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.
-
-// +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/go.mod

@@ -1,9 +1,11 @@
 module golang.org/x/crypto
 
-go 1.11
+go 1.17
 
 require (
-	golang.org/x/net v0.0.0-20190404232315-eb5bcb51f2a3
+	golang.org/x/net v0.1.0
-	golang.org/x/sys v0.0.0-20191026070338-33540a1f6037
+	golang.org/x/sys v0.1.0
-	golang.org/x/term v0.0.0-20201117132131-f5c789dd3221
+	golang.org/x/term v0.1.0
 )
+
+require golang.org/x/text v0.4.0 // indirect

vendor/golang.org/x/crypto/internal/alias/alias.go

@@ -2,11 +2,11 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !appengine
+//go:build !purego
+// +build !purego
 
-// Package subtle implements functions that are often useful in cryptographic
+// Package alias implements memory aliasing tests.
-// code but require careful thought to use correctly.
+package alias
-package subtle // import "golang.org/x/crypto/internal/subtle"
 
 import "unsafe"
 

vendor/golang.org/x/crypto/internal/alias/alias_purego.go

@@ -2,11 +2,11 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build appengine
+//go:build purego
+// +build purego
 
-// Package subtle implements functions that are often useful in cryptographic
+// Package alias implements memory aliasing tests.
-// code but require careful thought to use correctly.
+package alias
-package subtle // import "golang.org/x/crypto/internal/subtle"
 
 // This is the Google App Engine standard variant based on reflect
 // because the unsafe package and cgo are disallowed.

vendor/golang.org/x/crypto/internal/poly1305/bits_compat.go

@@ -2,6 +2,7 @@
 // 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 poly1305

vendor/golang.org/x/crypto/internal/poly1305/bits_go1.13.go

@@ -2,6 +2,7 @@
 // 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 poly1305

vendor/golang.org/x/crypto/internal/poly1305/mac_noasm.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !amd64,!ppc64le,!s390x gccgo purego
+//go:build (!amd64 && !ppc64le && !s390x) || !gc || purego
+// +build !amd64,!ppc64le,!s390x !gc purego
 
 package poly1305
 

vendor/golang.org/x/crypto/internal/poly1305/poly1305.go

@@ -15,7 +15,7 @@
 // used with a fixed key in order to generate one-time keys from an nonce.
 // However, in this package AES isn't used and the one-time key is specified
 // directly.
-package poly1305 // import "golang.org/x/crypto/poly1305"
+package poly1305
 
 import "crypto/subtle"
 

vendor/golang.org/x/crypto/internal/poly1305/sum_amd64.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 package poly1305
 

vendor/golang.org/x/crypto/internal/poly1305/sum_amd64.s

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 #include "textflag.h"
 

vendor/golang.org/x/crypto/internal/poly1305/sum_generic.go

@@ -136,7 +136,7 @@ func shiftRightBy2(a uint128) uint128 {
 // updateGeneric absorbs msg into the state.h accumulator. For each chunk m of
 // 128 bits of message, it computes
 //
-//     h₊ = (h + m) * r  mod  2¹³⁰ - 5
+//	h₊ = (h + m) * r  mod  2¹³⁰ - 5
 //
 // If the msg length is not a multiple of TagSize, it assumes the last
 // incomplete chunk is the final one.
@@ -278,8 +278,7 @@ const (
 
 // finalize completes the modular reduction of h and computes
 //
-//     out = h + s  mod  2¹²⁸
+//	out = h + s  mod  2¹²⁸
-//
 func finalize(out *[TagSize]byte, h *[3]uint64, s *[2]uint64) {
 	h0, h1, h2 := h[0], h[1], h[2]
 

vendor/golang.org/x/crypto/internal/poly1305/sum_ppc64le.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 package poly1305
 

vendor/golang.org/x/crypto/internal/poly1305/sum_ppc64le.s

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 #include "textflag.h"
 
@@ -82,7 +83,7 @@ multiply:
 	BGE loop
 
 bytes_between_0_and_15:
-	CMP  $0, R5
+	CMP  R5, $0
 	BEQ  done
 	MOVD $0, R16 // h0
 	MOVD $0, R17 // h1
@@ -122,7 +123,7 @@ just1:
 	// Exactly 8
 	MOVD (R4), R16
 
-	CMP $0, R17
+	CMP R17, $0
 
 	// Check if we've already set R17; if not
 	// set 1 to indicate end of msg.
@@ -151,7 +152,7 @@ less4:
 	ADD   $2, R4
 
 less2:
-	CMP   $0, R5
+	CMP   R5, $0
 	BEQ   insert1
 	MOVBZ (R4), R21
 	SLD   R22, R21, R21
@@ -166,12 +167,12 @@ insert1:
 
 carry:
 	// Add new values to h0, h1, h2
-	ADDC R16, R8
+	ADDC  R16, R8
-	ADDE R17, R9
+	ADDE  R17, R9
-	ADDE $0, R10
+	ADDZE R10, R10
-	MOVD $16, R5
+	MOVD  $16, R5
-	ADD  R5, R4
+	ADD   R5, R4
-	BR   multiply
+	BR    multiply
 
 done:
 	// Save h0, h1, h2 in state

vendor/golang.org/x/crypto/internal/poly1305/sum_s390x.go

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 package poly1305
 
@@ -13,6 +14,7 @@ import (
 // updateVX is an assembly implementation of Poly1305 that uses vector
 // instructions. It must only be called if the vector facility (vx) is
 // available.
+//
 //go:noescape
 func updateVX(state *macState, msg []byte)
 

vendor/golang.org/x/crypto/internal/poly1305/sum_s390x.s

@@ -2,7 +2,8 @@
 // Use of this source code is governed by a BSD-style
 // license that can be found in the LICENSE file.
 
-// +build !gccgo,!purego
+//go:build gc && !purego
+// +build gc,!purego
 
 #include "textflag.h"
 
@@ -17,7 +18,7 @@
 // value. These limbs are, for the most part, zero extended and
 // placed into 64-bit vector register elements. Each vector
 // register is 128-bits wide and so holds 2 of these elements.
-// Using 26-bit limbs allows us plenty of headroom to accomodate
+// Using 26-bit limbs allows us plenty of headroom to accommodate
 // accumulations before and after multiplication without
 // overflowing either 32-bits (before multiplication) or 64-bits
 // (after multiplication).

vendor/golang.org/x/crypto/nacl/sign/sign.go

@@ -24,7 +24,7 @@ import (
 	"io"
 
 	"golang.org/x/crypto/ed25519"
-	"golang.org/x/crypto/internal/subtle"
+	"golang.org/x/crypto/internal/alias"
 )
 
 // Overhead is the number of bytes of overhead when signing a message.
@@ -48,7 +48,7 @@ func GenerateKey(rand io.Reader) (publicKey *[32]byte, privateKey *[64]byte, err
 func Sign(out, message []byte, privateKey *[64]byte) []byte {
 	sig := ed25519.Sign(ed25519.PrivateKey((*privateKey)[:]), message)
 	ret, out := sliceForAppend(out, Overhead+len(message))
-	if subtle.AnyOverlap(out, message) {
+	if alias.AnyOverlap(out, message) {
 		panic("nacl: invalid buffer overlap")
 	}
 	copy(out, sig)
@@ -67,7 +67,7 @@ func Open(out, signedMessage []byte, publicKey *[32]byte) ([]byte, bool) {
 		return nil, false
 	}
 	ret, out := sliceForAppend(out, len(signedMessage)-Overhead)
-	if subtle.AnyOverlap(out, signedMessage) {
+	if alias.AnyOverlap(out, signedMessage) {
 		panic("nacl: invalid buffer overlap")
 	}
 	copy(out, signedMessage[Overhead:])

vendor/golang.org/x/crypto/pbkdf2/pbkdf2.go

@@ -32,7 +32,7 @@ import (
 // can get a derived key for e.g. AES-256 (which needs a 32-byte key) by
 // doing:
 //
-// 	dk := pbkdf2.Key([]byte("some password"), salt, 4096, 32, sha1.New)
+//	dk := pbkdf2.Key([]byte("some password"), salt, 4096, 32, sha1.New)
 //
 // Remember to get a good random salt. At least 8 bytes is recommended by the
 // RFC.

vendor/golang.org/x/crypto/ssh/agent/client.go

@@ -8,7 +8,8 @@
 // ssh-agent process using the sample server.
 //
 // References:
-//  [PROTOCOL.agent]: https://tools.ietf.org/html/draft-miller-ssh-agent-00
+//
+//	[PROTOCOL.agent]: https://tools.ietf.org/html/draft-miller-ssh-agent-00
 package agent // import "golang.org/x/crypto/ssh/agent"
 
 import (
@@ -25,7 +26,6 @@ import (
 	"math/big"
 	"sync"
 
-	"crypto"
 	"golang.org/x/crypto/ed25519"
 	"golang.org/x/crypto/ssh"
 )
@@ -93,7 +93,7 @@ type ExtendedAgent interface {
 type ConstraintExtension struct {
 	// ExtensionName consist of a UTF-8 string suffixed by the
 	// implementation domain following the naming scheme defined
-	// in Section 4.2 of [RFC4251], e.g.  "foo@example.com".
+	// in Section 4.2 of RFC 4251, e.g.  "foo@example.com".
 	ExtensionName string
 	// ExtensionDetails contains the actual content of the extended
 	// constraint.
@@ -226,7 +226,9 @@ var ErrExtensionUnsupported = errors.New("agent: extension unsupported")
 
 type extensionAgentMsg struct {
 	ExtensionType string `sshtype:"27"`
-	Contents      []byte
+	// NOTE: this matches OpenSSH's PROTOCOL.agent, not the IETF draft [PROTOCOL.agent],
+	// so that it matches what OpenSSH actually implements in the wild.
+	Contents []byte `ssh:"rest"`
 }
 
 // Key represents a protocol 2 public key as defined in
@@ -729,7 +731,7 @@ func (c *client) insertCert(s interface{}, cert *ssh.Certificate, comment string
 	if err != nil {
 		return err
 	}
-	if bytes.Compare(cert.Key.Marshal(), signer.PublicKey().Marshal()) != 0 {
+	if !bytes.Equal(cert.Key.Marshal(), signer.PublicKey().Marshal()) {
 		return errors.New("agent: signer and cert have different public key")
 	}
 
@@ -771,19 +773,53 @@ func (s *agentKeyringSigner) Sign(rand io.Reader, data []byte) (*ssh.Signature,
 	return s.agent.Sign(s.pub, data)
 }
 
-func (s *agentKeyringSigner) SignWithOpts(rand io.Reader, data []byte, opts crypto.SignerOpts) (*ssh.Signature, error) {
+func (s *agentKeyringSigner) SignWithAlgorithm(rand io.Reader, data []byte, algorithm string) (*ssh.Signature, error) {
-	var flags SignatureFlags
+	if algorithm == "" || algorithm == underlyingAlgo(s.pub.Type()) {
-	if opts != nil {
+		return s.Sign(rand, data)
-		switch opts.HashFunc() {
-		case crypto.SHA256:
-			flags = SignatureFlagRsaSha256
-		case crypto.SHA512:
-			flags = SignatureFlagRsaSha512
-		}
 	}
+
+	var flags SignatureFlags
+	switch algorithm {
+	case ssh.KeyAlgoRSASHA256:
+		flags = SignatureFlagRsaSha256
+	case ssh.KeyAlgoRSASHA512:
+		flags = SignatureFlagRsaSha512
+	default:
+		return nil, fmt.Errorf("agent: unsupported algorithm %q", algorithm)
+	}
+
 	return s.agent.SignWithFlags(s.pub, data, flags)
 }
 
+var _ ssh.AlgorithmSigner = &agentKeyringSigner{}
+
+// certKeyAlgoNames is a mapping from known certificate algorithm names to the
+// corresponding public key signature algorithm.
+//
+// This map must be kept in sync with the one in certs.go.
+var certKeyAlgoNames = map[string]string{
+	ssh.CertAlgoRSAv01:        ssh.KeyAlgoRSA,
+	ssh.CertAlgoRSASHA256v01:  ssh.KeyAlgoRSASHA256,
+	ssh.CertAlgoRSASHA512v01:  ssh.KeyAlgoRSASHA512,
+	ssh.CertAlgoDSAv01:        ssh.KeyAlgoDSA,
+	ssh.CertAlgoECDSA256v01:   ssh.KeyAlgoECDSA256,
+	ssh.CertAlgoECDSA384v01:   ssh.KeyAlgoECDSA384,
+	ssh.CertAlgoECDSA521v01:   ssh.KeyAlgoECDSA521,
+	ssh.CertAlgoSKECDSA256v01: ssh.KeyAlgoSKECDSA256,
+	ssh.CertAlgoED25519v01:    ssh.KeyAlgoED25519,
+	ssh.CertAlgoSKED25519v01:  ssh.KeyAlgoSKED25519,
+}
+
+// underlyingAlgo returns the signature algorithm associated with algo (which is
+// an advertised or negotiated public key or host key algorithm). These are
+// usually the same, except for certificate algorithms.
+func underlyingAlgo(algo string) string {
+	if a, ok := certKeyAlgoNames[algo]; ok {
+		return a
+	}
+	return algo
+}
+
 // Calls an extension method. It is up to the agent implementation as to whether or not
 // any particular extension is supported and may always return an error. Because the
 // type of the response is up to the implementation, this returns the bytes of the

vendor/golang.org/x/crypto/ssh/agent/keyring.go

@@ -113,7 +113,7 @@ func (r *keyring) Unlock(passphrase []byte) error {
 
 // expireKeysLocked removes expired keys from the keyring. If a key was added
 // with a lifetimesecs contraint and seconds >= lifetimesecs seconds have
-// ellapsed, it is removed. The caller *must* be holding the keyring mutex.
+// elapsed, it is removed. The caller *must* be holding the keyring mutex.
 func (r *keyring) expireKeysLocked() {
 	for _, k := range r.keys {
 		if k.expire != nil && time.Now().After(*k.expire) {
@@ -205,9 +205,9 @@ func (r *keyring) SignWithFlags(key ssh.PublicKey, data []byte, flags SignatureF
 					var algorithm string
 					switch flags {
 					case SignatureFlagRsaSha256:
-						algorithm = ssh.SigAlgoRSASHA2256
+						algorithm = ssh.KeyAlgoRSASHA256
 					case SignatureFlagRsaSha512:
-						algorithm = ssh.SigAlgoRSASHA2512
+						algorithm = ssh.KeyAlgoRSASHA512
 					default:
 						return nil, fmt.Errorf("agent: unsupported signature flags: %d", flags)
 					}

vendor/golang.org/x/crypto/ssh/certs.go

@@ -14,8 +14,10 @@ import (
 	"time"
 )
 
-// These constants from [PROTOCOL.certkeys] represent the algorithm names
+// Certificate algorithm names from [PROTOCOL.certkeys]. These values can appear
-// for certificate types supported by this package.
+// in Certificate.Type, PublicKey.Type, and ClientConfig.HostKeyAlgorithms.
+// Unlike key algorithm names, these are not passed to AlgorithmSigner and don't
+// appear in the Signature.Format field.
 const (
 	CertAlgoRSAv01        = "ssh-rsa-cert-v01@openssh.com"
 	CertAlgoDSAv01        = "ssh-dss-cert-v01@openssh.com"
@@ -25,6 +27,21 @@ const (
 	CertAlgoSKECDSA256v01 = "sk-ecdsa-sha2-nistp256-cert-v01@openssh.com"
 	CertAlgoED25519v01    = "ssh-ed25519-cert-v01@openssh.com"
 	CertAlgoSKED25519v01  = "sk-ssh-ed25519-cert-v01@openssh.com"
+
+	// CertAlgoRSASHA256v01 and CertAlgoRSASHA512v01 can't appear as a
+	// Certificate.Type (or PublicKey.Type), but only in
+	// ClientConfig.HostKeyAlgorithms.
+	CertAlgoRSASHA256v01 = "rsa-sha2-256-cert-v01@openssh.com"
+	CertAlgoRSASHA512v01 = "rsa-sha2-512-cert-v01@openssh.com"
+)
+
+const (
+	// Deprecated: use CertAlgoRSAv01.
+	CertSigAlgoRSAv01 = CertAlgoRSAv01
+	// Deprecated: use CertAlgoRSASHA256v01.
+	CertSigAlgoRSASHA2256v01 = CertAlgoRSASHA256v01
+	// Deprecated: use CertAlgoRSASHA512v01.
+	CertSigAlgoRSASHA2512v01 = CertAlgoRSASHA512v01
 )
 
 // Certificate types distinguish between host and user
@@ -234,7 +251,7 @@ type algorithmOpenSSHCertSigner struct {
 // private key is held by signer. It returns an error if the public key in cert
 // doesn't match the key used by signer.
 func NewCertSigner(cert *Certificate, signer Signer) (Signer, error) {
-	if bytes.Compare(cert.Key.Marshal(), signer.PublicKey().Marshal()) != 0 {
+	if !bytes.Equal(cert.Key.Marshal(), signer.PublicKey().Marshal()) {
 		return nil, errors.New("ssh: signer and cert have different public key")
 	}
 
@@ -423,6 +440,16 @@ func (c *Certificate) SignCert(rand io.Reader, authority Signer) error {
 	}
 	c.SignatureKey = authority.PublicKey()
 
+	// Default to KeyAlgoRSASHA512 for ssh-rsa signers.
+	if v, ok := authority.(AlgorithmSigner); ok && v.PublicKey().Type() == KeyAlgoRSA {
+		sig, err := v.SignWithAlgorithm(rand, c.bytesForSigning(), KeyAlgoRSASHA512)
+		if err != nil {
+			return err
+		}
+		c.Signature = sig
+		return nil
+	}
+
 	sig, err := authority.Sign(rand, c.bytesForSigning())
 	if err != nil {
 		return err
@@ -431,26 +458,42 @@ func (c *Certificate) SignCert(rand io.Reader, authority Signer) error {
 	return nil
 }
 
-var certAlgoNames = map[string]string{
+// certKeyAlgoNames is a mapping from known certificate algorithm names to the
-	KeyAlgoRSA:        CertAlgoRSAv01,
+// corresponding public key signature algorithm.
-	KeyAlgoDSA:        CertAlgoDSAv01,
+//
-	KeyAlgoECDSA256:   CertAlgoECDSA256v01,
+// This map must be kept in sync with the one in agent/client.go.
-	KeyAlgoECDSA384:   CertAlgoECDSA384v01,
+var certKeyAlgoNames = map[string]string{
-	KeyAlgoECDSA521:   CertAlgoECDSA521v01,
+	CertAlgoRSAv01:        KeyAlgoRSA,
-	KeyAlgoSKECDSA256: CertAlgoSKECDSA256v01,
+	CertAlgoRSASHA256v01:  KeyAlgoRSASHA256,
-	KeyAlgoED25519:    CertAlgoED25519v01,
+	CertAlgoRSASHA512v01:  KeyAlgoRSASHA512,
-	KeyAlgoSKED25519:  CertAlgoSKED25519v01,
+	CertAlgoDSAv01:        KeyAlgoDSA,
+	CertAlgoECDSA256v01:   KeyAlgoECDSA256,
+	CertAlgoECDSA384v01:   KeyAlgoECDSA384,
+	CertAlgoECDSA521v01:   KeyAlgoECDSA521,
+	CertAlgoSKECDSA256v01: KeyAlgoSKECDSA256,
+	CertAlgoED25519v01:    KeyAlgoED25519,
+	CertAlgoSKED25519v01:  KeyAlgoSKED25519,
 }
 
-// certToPrivAlgo returns the underlying algorithm for a certificate algorithm.
+// underlyingAlgo returns the signature algorithm associated with algo (which is
-// Panics if a non-certificate algorithm is passed.
+// an advertised or negotiated public key or host key algorithm). These are
-func certToPrivAlgo(algo string) string {
+// usually the same, except for certificate algorithms.
-	for privAlgo, pubAlgo := range certAlgoNames {
+func underlyingAlgo(algo string) string {
-		if pubAlgo == algo {
+	if a, ok := certKeyAlgoNames[algo]; ok {
-			return privAlgo
+		return a
+	}
+	return algo
+}
+
+// certificateAlgo returns the certificate algorithms that uses the provided
+// underlying signature algorithm.
+func certificateAlgo(algo string) (certAlgo string, ok bool) {
+	for certName, algoName := range certKeyAlgoNames {
+		if algoName == algo {
+			return certName, true
 		}
 	}
-	panic("unknown cert algorithm")
+	return "", false
 }
 
 func (cert *Certificate) bytesForSigning() []byte {
@@ -494,13 +537,13 @@ func (c *Certificate) Marshal() []byte {
 	return result
 }
 
-// Type returns the key name. It is part of the PublicKey interface.
+// Type returns the certificate algorithm name. It is part of the PublicKey interface.
 func (c *Certificate) Type() string {
-	algo, ok := certAlgoNames[c.Key.Type()]
+	certName, ok := certificateAlgo(c.Key.Type())
 	if !ok {
-		panic("unknown cert key type " + c.Key.Type())
+		panic("unknown certificate type for key type " + c.Key.Type())
 	}
-	return algo
+	return certName
 }
 
 // Verify verifies a signature against the certificate's public

vendor/golang.org/x/crypto/ssh/cipher.go

@@ -15,10 +15,9 @@ import (
 	"fmt"
 	"hash"
 	"io"
-	"io/ioutil"
 
 	"golang.org/x/crypto/chacha20"
-	"golang.org/x/crypto/poly1305"
+	"golang.org/x/crypto/internal/poly1305"
 )
 
 const (
@@ -97,13 +96,13 @@ func streamCipherMode(skip int, createFunc func(key, iv []byte) (cipher.Stream,
 // are not supported and will not be negotiated, even if explicitly requested in
 // ClientConfig.Crypto.Ciphers.
 var cipherModes = map[string]*cipherMode{
-	// Ciphers from RFC4344, which introduced many CTR-based ciphers. Algorithms
+	// Ciphers from RFC 4344, which introduced many CTR-based ciphers. Algorithms
 	// are defined in the order specified in the RFC.
 	"aes128-ctr": {16, aes.BlockSize, streamCipherMode(0, newAESCTR)},
 	"aes192-ctr": {24, aes.BlockSize, streamCipherMode(0, newAESCTR)},
 	"aes256-ctr": {32, aes.BlockSize, streamCipherMode(0, newAESCTR)},
 
-	// Ciphers from RFC4345, which introduces security-improved arcfour ciphers.
+	// Ciphers from RFC 4345, which introduces security-improved arcfour ciphers.
 	// They are defined in the order specified in the RFC.
 	"arcfour128": {16, 0, streamCipherMode(1536, newRC4)},
 	"arcfour256": {32, 0, streamCipherMode(1536, newRC4)},
@@ -111,7 +110,7 @@ var cipherModes = map[string]*cipherMode{
 	// Cipher defined in RFC 4253, which describes SSH Transport Layer Protocol.
 	// Note that this cipher is not safe, as stated in RFC 4253: "Arcfour (and
 	// RC4) has problems with weak keys, and should be used with caution."
-	// RFC4345 introduces improved versions of Arcfour.
+	// RFC 4345 introduces improved versions of Arcfour.
 	"arcfour": {16, 0, streamCipherMode(0, newRC4)},
 
 	// AEAD ciphers
@@ -394,6 +393,10 @@ func (c *gcmCipher) readCipherPacket(seqNum uint32, r io.Reader) ([]byte, error)
 	}
 	c.incIV()
 
+	if len(plain) == 0 {
+		return nil, errors.New("ssh: empty packet")
+	}
+
 	padding := plain[0]
 	if padding < 4 {
 		// padding is a byte, so it automatically satisfies
@@ -493,7 +496,7 @@ func (c *cbcCipher) readCipherPacket(seqNum uint32, r io.Reader) ([]byte, error)
 			// data, to make distinguishing between
 			// failing MAC and failing length check more
 			// difficult.
-			io.CopyN(ioutil.Discard, r, int64(c.oracleCamouflage))
+			io.CopyN(io.Discard, r, int64(c.oracleCamouflage))
 		}
 	}
 	return p, err
@@ -636,9 +639,9 @@ const chacha20Poly1305ID = "chacha20-poly1305@openssh.com"
 // chacha20Poly1305Cipher implements the chacha20-poly1305@openssh.com
 // AEAD, which is described here:
 //
-//   https://tools.ietf.org/html/draft-josefsson-ssh-chacha20-poly1305-openssh-00
+//	https://tools.ietf.org/html/draft-josefsson-ssh-chacha20-poly1305-openssh-00
 //
-// the methods here also implement padding, which RFC4253 Section 6
+// the methods here also implement padding, which RFC 4253 Section 6
 // also requires of stream ciphers.
 type chacha20Poly1305Cipher struct {
 	lengthKey  [32]byte
@@ -710,6 +713,10 @@ func (c *chacha20Poly1305Cipher) readCipherPacket(seqNum uint32, r io.Reader) ([
 	plain := c.buf[4:contentEnd]
 	s.XORKeyStream(plain, plain)
 
+	if len(plain) == 0 {
+		return nil, errors.New("ssh: empty packet")
+	}
+
 	padding := plain[0]
 	if padding < 4 {
 		// padding is a byte, so it automatically satisfies

vendor/golang.org/x/crypto/ssh/client.go

@@ -77,7 +77,7 @@ func NewClientConn(c net.Conn, addr string, config *ClientConfig) (Conn, <-chan
 	}
 
 	conn := &connection{
-		sshConn: sshConn{conn: c},
+		sshConn: sshConn{conn: c, user: fullConf.User},
 	}
 
 	if err := conn.clientHandshake(addr, &fullConf); err != nil {
@@ -113,14 +113,18 @@ func (c *connection) clientHandshake(dialAddress string, config *ClientConfig) e
 	return c.clientAuthenticate(config)
 }
 
-// verifyHostKeySignature verifies the host key obtained in the key
+// verifyHostKeySignature verifies the host key obtained in the key exchange.
-// exchange.
+// algo is the negotiated algorithm, and may be a certificate type.
-func verifyHostKeySignature(hostKey PublicKey, result *kexResult) error {
+func verifyHostKeySignature(hostKey PublicKey, algo string, result *kexResult) error {
 	sig, rest, ok := parseSignatureBody(result.Signature)
 	if len(rest) > 0 || !ok {
 		return errors.New("ssh: signature parse error")
 	}
 
+	if a := underlyingAlgo(algo); sig.Format != a {
+		return fmt.Errorf("ssh: invalid signature algorithm %q, expected %q", sig.Format, a)
+	}
+
 	return hostKey.Verify(result.H, sig)
 }
 
@@ -224,11 +228,11 @@ type ClientConfig struct {
 	// be used for the connection. If empty, a reasonable default is used.
 	ClientVersion string
 
-	// HostKeyAlgorithms lists the key types that the client will
+	// HostKeyAlgorithms lists the public key algorithms that the client will
-	// accept from the server as host key, in order of
+	// accept from the server for host key authentication, in order of
 	// preference. If empty, a reasonable default is used. Any
-	// string returned from PublicKey.Type method may be used, or
+	// string returned from a PublicKey.Type method may be used, or
-	// any of the CertAlgoXxxx and KeyAlgoXxxx constants.
+	// any of the CertAlgo and KeyAlgo constants.
 	HostKeyAlgorithms []string
 
 	// Timeout is the maximum amount of time for the TCP connection to establish.

vendor/golang.org/x/crypto/ssh/client_auth.go

@@ -9,6 +9,7 @@ import (
 	"errors"
 	"fmt"
 	"io"
+	"strings"
 )
 
 type authResult int
@@ -29,6 +30,33 @@ func (c *connection) clientAuthenticate(config *ClientConfig) error {
 	if err != nil {
 		return err
 	}
+	// The server may choose to send a SSH_MSG_EXT_INFO at this point (if we
+	// advertised willingness to receive one, which we always do) or not. See
+	// RFC 8308, Section 2.4.
+	extensions := make(map[string][]byte)
+	if len(packet) > 0 && packet[0] == msgExtInfo {
+		var extInfo extInfoMsg
+		if err := Unmarshal(packet, &extInfo); err != nil {
+			return err
+		}
+		payload := extInfo.Payload
+		for i := uint32(0); i < extInfo.NumExtensions; i++ {
+			name, rest, ok := parseString(payload)
+			if !ok {
+				return parseError(msgExtInfo)
+			}
+			value, rest, ok := parseString(rest)
+			if !ok {
+				return parseError(msgExtInfo)
+			}
+			extensions[string(name)] = value
+			payload = rest
+		}
+		packet, err = c.transport.readPacket()
+		if err != nil {
+			return err
+		}
+	}
 	var serviceAccept serviceAcceptMsg
 	if err := Unmarshal(packet, &serviceAccept); err != nil {
 		return err
@@ -41,7 +69,7 @@ func (c *connection) clientAuthenticate(config *ClientConfig) error {
 
 	sessionID := c.transport.getSessionID()
 	for auth := AuthMethod(new(noneAuth)); auth != nil; {
-		ok, methods, err := auth.auth(sessionID, config.User, c.transport, config.Rand)
+		ok, methods, err := auth.auth(sessionID, config.User, c.transport, config.Rand, extensions)
 		if err != nil {
 			return err
 		}
@@ -93,7 +121,7 @@ type AuthMethod interface {
 	// If authentication is not successful, a []string of alternative
 	// method names is returned. If the slice is nil, it will be ignored
 	// and the previous set of possible methods will be reused.
-	auth(session []byte, user string, p packetConn, rand io.Reader) (authResult, []string, error)
+	auth(session []byte, user string, p packetConn, rand io.Reader, extensions map[string][]byte) (authResult, []string, error)
 
 	// method returns the RFC 4252 method name.
 	method() string
@@ -102,7 +130,7 @@ type AuthMethod interface {
 // "none" authentication, RFC 4252 section 5.2.
 type noneAuth int
 
-func (n *noneAuth) auth(session []byte, user string, c packetConn, rand io.Reader) (authResult, []string, error) {
+func (n *noneAuth) auth(session []byte, user string, c packetConn, rand io.Reader, _ map[string][]byte) (authResult, []string, error) {
 	if err := c.writePacket(Marshal(&userAuthRequestMsg{
 		User:    user,
 		Service: serviceSSH,
@@ -122,7 +150,7 @@ func (n *noneAuth) method() string {
 // a function call, e.g. by prompting the user.
 type passwordCallback func() (password string, err error)
 
-func (cb passwordCallback) auth(session []byte, user string, c packetConn, rand io.Reader) (authResult, []string, error) {
+func (cb passwordCallback) auth(session []byte, user string, c packetConn, rand io.Reader, _ map[string][]byte) (authResult, []string, error) {
 	type passwordAuthMsg struct {
 		User     string `sshtype:"50"`
 		Service  string
@@ -189,7 +217,46 @@ func (cb publicKeyCallback) method() string {
 	return "publickey"
 }
 
-func (cb publicKeyCallback) auth(session []byte, user string, c packetConn, rand io.Reader) (authResult, []string, error) {
+func pickSignatureAlgorithm(signer Signer, extensions map[string][]byte) (as AlgorithmSigner, algo string) {
+	keyFormat := signer.PublicKey().Type()
+
+	// Like in sendKexInit, if the public key implements AlgorithmSigner we
+	// assume it supports all algorithms, otherwise only the key format one.
+	as, ok := signer.(AlgorithmSigner)
+	if !ok {
+		return algorithmSignerWrapper{signer}, keyFormat
+	}
+
+	extPayload, ok := extensions["server-sig-algs"]
+	if !ok {
+		// If there is no "server-sig-algs" extension, fall back to the key
+		// format algorithm.
+		return as, keyFormat
+	}
+
+	// The server-sig-algs extension only carries underlying signature
+	// algorithm, but we are trying to select a protocol-level public key
+	// algorithm, which might be a certificate type. Extend the list of server
+	// supported algorithms to include the corresponding certificate algorithms.
+	serverAlgos := strings.Split(string(extPayload), ",")
+	for _, algo := range serverAlgos {
+		if certAlgo, ok := certificateAlgo(algo); ok {
+			serverAlgos = append(serverAlgos, certAlgo)
+		}
+	}
+
+	keyAlgos := algorithmsForKeyFormat(keyFormat)
+	algo, err := findCommon("public key signature algorithm", keyAlgos, serverAlgos)
+	if err != nil {
+		// If there is no overlap, try the key anyway with the key format
+		// algorithm, to support servers that fail to list all supported
+		// algorithms.
+		return as, keyFormat
+	}
+	return as, algo
+}
+
+func (cb publicKeyCallback) auth(session []byte, user string, c packetConn, rand io.Reader, extensions map[string][]byte) (authResult, []string, error) {
 	// Authentication is performed by sending an enquiry to test if a key is
 	// acceptable to the remote. If the key is acceptable, the client will
 	// attempt to authenticate with the valid key.  If not the client will repeat
@@ -201,7 +268,10 @@ func (cb publicKeyCallback) auth(session []byte, user string, c packetConn, rand
 	}
 	var methods []string
 	for _, signer := range signers {
-		ok, err := validateKey(signer.PublicKey(), user, c)
+		pub := signer.PublicKey()
+		as, algo := pickSignatureAlgorithm(signer, extensions)
+
+		ok, err := validateKey(pub, algo, user, c)
 		if err != nil {
 			return authFailure, nil, err
 		}
@@ -209,13 +279,13 @@ func (cb publicKeyCallback) auth(session []byte, user string, c packetConn, rand
 			continue
 		}
 
-		pub := signer.PublicKey()
 		pubKey := pub.Marshal()
-		sign, err := signer.Sign(rand, buildDataSignedForAuth(session, userAuthRequestMsg{
+		data := buildDataSignedForAuth(session, userAuthRequestMsg{
 			User:    user,
 			Service: serviceSSH,
 			Method:  cb.method(),
-		}, []byte(pub.Type()), pubKey))
+		}, algo, pubKey)
+		sign, err := as.SignWithAlgorithm(rand, data, underlyingAlgo(algo))
 		if err != nil {
 			return authFailure, nil, err
 		}
@@ -229,7 +299,7 @@ func (cb publicKeyCallback) auth(session []byte, user string, c packetConn, rand
 			Service:  serviceSSH,
 			Method:   cb.method(),
 			HasSig:   true,
-			Algoname: pub.Type(),
+			Algoname: algo,
 			PubKey:   pubKey,
 			Sig:      sig,
 		}
@@ -266,26 +336,25 @@ func containsMethod(methods []string, method string) bool {
 }
 
 // validateKey validates the key provided is acceptable to the server.
-func validateKey(key PublicKey, user string, c packetConn) (bool, error) {
+func validateKey(key PublicKey, algo string, user string, c packetConn) (bool, error) {
 	pubKey := key.Marshal()
 	msg := publickeyAuthMsg{
 		User:     user,
 		Service:  serviceSSH,
 		Method:   "publickey",
 		HasSig:   false,
-		Algoname: key.Type(),
+		Algoname: algo,
 		PubKey:   pubKey,
 	}
 	if err := c.writePacket(Marshal(&msg)); err != nil {
 		return false, err
 	}
 
-	return confirmKeyAck(key, c)
+	return confirmKeyAck(key, algo, c)
 }
 
-func confirmKeyAck(key PublicKey, c packetConn) (bool, error) {
+func confirmKeyAck(key PublicKey, algo string, c packetConn) (bool, error) {
 	pubKey := key.Marshal()
-	algoname := key.Type()
 
 	for {
 		packet, err := c.readPacket()
@@ -302,14 +371,14 @@ func confirmKeyAck(key PublicKey, c packetConn) (bool, error) {
 			if err := Unmarshal(packet, &msg); err != nil {
 				return false, err
 			}
-			if msg.Algo != algoname || !bytes.Equal(msg.PubKey, pubKey) {
+			if msg.Algo != algo || !bytes.Equal(msg.PubKey, pubKey) {
 				return false, nil
 			}
 			return true, nil
 		case msgUserAuthFailure:
 			return false, nil
 		default:
-			return false, unexpectedMessageError(msgUserAuthSuccess, packet[0])
+			return false, unexpectedMessageError(msgUserAuthPubKeyOk, packet[0])
 		}
 	}
 }
@@ -330,6 +399,7 @@ func PublicKeysCallback(getSigners func() (signers []Signer, err error)) AuthMet
 // along with a list of remaining authentication methods to try next and
 // an error if an unexpected response was received.
 func handleAuthResponse(c packetConn) (authResult, []string, error) {
+	gotMsgExtInfo := false
 	for {
 		packet, err := c.readPacket()
 		if err != nil {
@@ -341,6 +411,12 @@ func handleAuthResponse(c packetConn) (authResult, []string, error) {
 			if err := handleBannerResponse(c, packet); err != nil {
 				return authFailure, nil, err
 			}
+		case msgExtInfo:
+			// Ignore post-authentication RFC 8308 extensions, once.
+			if gotMsgExtInfo {
+				return authFailure, nil, unexpectedMessageError(msgUserAuthSuccess, packet[0])
+			}
+			gotMsgExtInfo = true
 		case msgUserAuthFailure:
 			var msg userAuthFailureMsg
 			if err := Unmarshal(packet, &msg); err != nil {
@@ -380,10 +456,10 @@ func handleBannerResponse(c packetConn, packet []byte) error {
 // disabling echoing (e.g. for passwords), and return all the answers.
 // Challenge may be called multiple times in a single session. After
 // successful authentication, the server may send a challenge with no
-// questions, for which the user and instruction messages should be
+// questions, for which the name and instruction messages should be
 // printed.  RFC 4256 section 3.3 details how the UI should behave for
 // both CLI and GUI environments.
-type KeyboardInteractiveChallenge func(user, instruction string, questions []string, echos []bool) (answers []string, err error)
+type KeyboardInteractiveChallenge func(name, instruction string, questions []string, echos []bool) (answers []string, err error)
 
 // KeyboardInteractive returns an AuthMethod using a prompt/response
 // sequence controlled by the server.
@@ -395,7 +471,7 @@ func (cb KeyboardInteractiveChallenge) method() string {
 	return "keyboard-interactive"
 }
 
-func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packetConn, rand io.Reader) (authResult, []string, error) {
+func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packetConn, rand io.Reader, _ map[string][]byte) (authResult, []string, error) {
 	type initiateMsg struct {
 		User       string `sshtype:"50"`
 		Service    string
@@ -412,6 +488,7 @@ func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packe
 		return authFailure, nil, err
 	}
 
+	gotMsgExtInfo := false
 	for {
 		packet, err := c.readPacket()
 		if err != nil {
@@ -425,6 +502,13 @@ func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packe
 				return authFailure, nil, err
 			}
 			continue
+		case msgExtInfo:
+			// Ignore post-authentication RFC 8308 extensions, once.
+			if gotMsgExtInfo {
+				return authFailure, nil, unexpectedMessageError(msgUserAuthInfoRequest, packet[0])
+			}
+			gotMsgExtInfo = true
+			continue
 		case msgUserAuthInfoRequest:
 			// OK
 		case msgUserAuthFailure:
@@ -465,7 +549,7 @@ func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packe
 			return authFailure, nil, errors.New("ssh: extra data following keyboard-interactive pairs")
 		}
 
-		answers, err := cb(msg.User, msg.Instruction, prompts, echos)
+		answers, err := cb(msg.Name, msg.Instruction, prompts, echos)
 		if err != nil {
 			return authFailure, nil, err
 		}
@@ -497,9 +581,9 @@ type retryableAuthMethod struct {
 	maxTries   int
 }
 
-func (r *retryableAuthMethod) auth(session []byte, user string, c packetConn, rand io.Reader) (ok authResult, methods []string, err error) {
+func (r *retryableAuthMethod) auth(session []byte, user string, c packetConn, rand io.Reader, extensions map[string][]byte) (ok authResult, methods []string, err error) {
 	for i := 0; r.maxTries <= 0 || i < r.maxTries; i++ {
-		ok, methods, err = r.authMethod.auth(session, user, c, rand)
+		ok, methods, err = r.authMethod.auth(session, user, c, rand, extensions)
 		if ok != authFailure || err != nil { // either success, partial success or error terminate
 			return ok, methods, err
 		}
@@ -542,7 +626,7 @@ type gssAPIWithMICCallback struct {
 	target       string
 }
 
-func (g *gssAPIWithMICCallback) auth(session []byte, user string, c packetConn, rand io.Reader) (authResult, []string, error) {
+func (g *gssAPIWithMICCallback) auth(session []byte, user string, c packetConn, rand io.Reader, _ map[string][]byte) (authResult, []string, error) {
 	m := &userAuthRequestMsg{
 		User:    user,
 		Service: serviceSSH,

vendor/golang.org/x/crypto/ssh/common.go

@@ -44,11 +44,11 @@ var preferredCiphers = []string{
 // supportedKexAlgos specifies the supported key-exchange algorithms in
 // preference order.
 var supportedKexAlgos = []string{
-	kexAlgoCurve25519SHA256,
+	kexAlgoCurve25519SHA256, kexAlgoCurve25519SHA256LibSSH,
 	// P384 and P521 are not constant-time yet, but since we don't
 	// reuse ephemeral keys, using them for ECDH should be OK.
 	kexAlgoECDH256, kexAlgoECDH384, kexAlgoECDH521,
-	kexAlgoDH14SHA1, kexAlgoDH1SHA1,
+	kexAlgoDH14SHA256, kexAlgoDH14SHA1, kexAlgoDH1SHA1,
 }
 
 // serverForbiddenKexAlgos contains key exchange algorithms, that are forbidden
@@ -61,18 +61,20 @@ var serverForbiddenKexAlgos = map[string]struct{}{
 // preferredKexAlgos specifies the default preference for key-exchange algorithms
 // in preference order.
 var preferredKexAlgos = []string{
-	kexAlgoCurve25519SHA256,
+	kexAlgoCurve25519SHA256, kexAlgoCurve25519SHA256LibSSH,
 	kexAlgoECDH256, kexAlgoECDH384, kexAlgoECDH521,
-	kexAlgoDH14SHA1,
+	kexAlgoDH14SHA256, kexAlgoDH14SHA1,
 }
 
 // supportedHostKeyAlgos specifies the supported host-key algorithms (i.e. methods
 // of authenticating servers) in preference order.
 var supportedHostKeyAlgos = []string{
+	CertAlgoRSASHA512v01, CertAlgoRSASHA256v01,
 	CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01,
 	CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoED25519v01,
 
 	KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521,
+	KeyAlgoRSASHA512, KeyAlgoRSASHA256,
 	KeyAlgoRSA, KeyAlgoDSA,
 
 	KeyAlgoED25519,
@@ -87,19 +89,33 @@ var supportedMACs = []string{
 
 var supportedCompressions = []string{compressionNone}
 
-// hashFuncs keeps the mapping of supported algorithms to their respective
+// hashFuncs keeps the mapping of supported signature algorithms to their
-// hashes needed for signature verification.
+// respective hashes needed for signing and verification.
 var hashFuncs = map[string]crypto.Hash{
-	KeyAlgoRSA:          crypto.SHA1,
+	KeyAlgoRSA:       crypto.SHA1,
-	KeyAlgoDSA:          crypto.SHA1,
+	KeyAlgoRSASHA256: crypto.SHA256,
-	KeyAlgoECDSA256:     crypto.SHA256,
+	KeyAlgoRSASHA512: crypto.SHA512,
-	KeyAlgoECDSA384:     crypto.SHA384,
+	KeyAlgoDSA:       crypto.SHA1,
-	KeyAlgoECDSA521:     crypto.SHA512,
+	KeyAlgoECDSA256:  crypto.SHA256,
-	CertAlgoRSAv01:      crypto.SHA1,
+	KeyAlgoECDSA384:  crypto.SHA384,
-	CertAlgoDSAv01:      crypto.SHA1,
+	KeyAlgoECDSA521:  crypto.SHA512,
-	CertAlgoECDSA256v01: crypto.SHA256,
+	// KeyAlgoED25519 doesn't pre-hash.
-	CertAlgoECDSA384v01: crypto.SHA384,
+	KeyAlgoSKECDSA256: crypto.SHA256,
-	CertAlgoECDSA521v01: crypto.SHA512,
+	KeyAlgoSKED25519:  crypto.SHA256,
+}
+
+// algorithmsForKeyFormat returns the supported signature algorithms for a given
+// public key format (PublicKey.Type), in order of preference. See RFC 8332,
+// Section 2. See also the note in sendKexInit on backwards compatibility.
+func algorithmsForKeyFormat(keyFormat string) []string {
+	switch keyFormat {
+	case KeyAlgoRSA:
+		return []string{KeyAlgoRSASHA256, KeyAlgoRSASHA512, KeyAlgoRSA}
+	case CertAlgoRSAv01:
+		return []string{CertAlgoRSASHA256v01, CertAlgoRSASHA512v01, CertAlgoRSAv01}
+	default:
+		return []string{keyFormat}
+	}
 }
 
 // unexpectedMessageError results when the SSH message that we received didn't
@@ -133,7 +149,7 @@ type directionAlgorithms struct {
 
 // rekeyBytes returns a rekeying intervals in bytes.
 func (a *directionAlgorithms) rekeyBytes() int64 {
-	// According to RFC4344 block ciphers should rekey after
+	// According to RFC 4344 block ciphers should rekey after
 	// 2^(BLOCKSIZE/4) blocks. For all AES flavors BLOCKSIZE is
 	// 128.
 	switch a.Cipher {
@@ -142,10 +158,15 @@ func (a *directionAlgorithms) rekeyBytes() int64 {
 
 	}
 
-	// For others, stick with RFC4253 recommendation to rekey after 1 Gb of data.
+	// For others, stick with RFC 4253 recommendation to rekey after 1 Gb of data.
 	return 1 << 30
 }
 
+var aeadCiphers = map[string]bool{
+	gcmCipherID:        true,
+	chacha20Poly1305ID: true,
+}
+
 type algorithms struct {
 	kex     string
 	hostKey string
@@ -181,14 +202,18 @@ func findAgreedAlgorithms(isClient bool, clientKexInit, serverKexInit *kexInitMs
 		return
 	}
 
-	ctos.MAC, err = findCommon("client to server MAC", clientKexInit.MACsClientServer, serverKexInit.MACsClientServer)
+	if !aeadCiphers[ctos.Cipher] {
-	if err != nil {
+		ctos.MAC, err = findCommon("client to server MAC", clientKexInit.MACsClientServer, serverKexInit.MACsClientServer)
-		return
+		if err != nil {
+			return
+		}
 	}
 
-	stoc.MAC, err = findCommon("server to client MAC", clientKexInit.MACsServerClient, serverKexInit.MACsServerClient)
+	if !aeadCiphers[stoc.Cipher] {
-	if err != nil {
+		stoc.MAC, err = findCommon("server to client MAC", clientKexInit.MACsServerClient, serverKexInit.MACsServerClient)
-		return
+		if err != nil {
+			return
+		}
 	}
 
 	ctos.Compression, err = findCommon("client to server compression", clientKexInit.CompressionClientServer, serverKexInit.CompressionClientServer)
@@ -272,8 +297,9 @@ func (c *Config) SetDefaults() {
 }
 
 // buildDataSignedForAuth returns the data that is signed in order to prove
-// possession of a private key. See RFC 4252, section 7.
+// possession of a private key. See RFC 4252, section 7. algo is the advertised
-func buildDataSignedForAuth(sessionID []byte, req userAuthRequestMsg, algo, pubKey []byte) []byte {
+// algorithm, and may be a certificate type.
+func buildDataSignedForAuth(sessionID []byte, req userAuthRequestMsg, algo string, pubKey []byte) []byte {
 	data := struct {
 		Session []byte
 		Type    byte
@@ -281,7 +307,7 @@ func buildDataSignedForAuth(sessionID []byte, req userAuthRequestMsg, algo, pubK
 		Service string
 		Method  string
 		Sign    bool
-		Algo    []byte
+		Algo    string
 		PubKey  []byte
 	}{
 		sessionID,

vendor/golang.org/x/crypto/ssh/connection.go

@@ -52,7 +52,7 @@ type Conn interface {
 
 	// SendRequest sends a global request, and returns the
 	// reply. If wantReply is true, it returns the response status
-	// and payload. See also RFC4254, section 4.
+	// and payload. See also RFC 4254, section 4.
 	SendRequest(name string, wantReply bool, payload []byte) (bool, []byte, error)
 
 	// OpenChannel tries to open an channel. If the request is

vendor/golang.org/x/crypto/ssh/doc.go

@@ -12,8 +12,9 @@ the multiplexed nature of SSH is exposed to users that wish to support
 others.
 
 References:
-  [PROTOCOL.certkeys]: http://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.certkeys?rev=HEAD
+
-  [SSH-PARAMETERS]:    http://www.iana.org/assignments/ssh-parameters/ssh-parameters.xml#ssh-parameters-1
+	[PROTOCOL.certkeys]: http://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.certkeys?rev=HEAD
+	[SSH-PARAMETERS]:    http://www.iana.org/assignments/ssh-parameters/ssh-parameters.xml#ssh-parameters-1
 
 This package does not fall under the stability promise of the Go language itself,
 so its API may be changed when pressing needs arise.

vendor/golang.org/x/crypto/ssh/handshake.go

@@ -455,14 +455,38 @@ func (t *handshakeTransport) sendKexInit() error {
 	}
 	io.ReadFull(rand.Reader, msg.Cookie[:])
 
-	if len(t.hostKeys) > 0 {
+	isServer := len(t.hostKeys) > 0
+	if isServer {
 		for _, k := range t.hostKeys {
-			msg.ServerHostKeyAlgos = append(
+			// If k is an AlgorithmSigner, presume it supports all signature algorithms
-				msg.ServerHostKeyAlgos, k.PublicKey().Type())
+			// associated with the key format. (Ideally AlgorithmSigner would have a
+			// method to advertise supported algorithms, but it doesn't. This means that
+			// adding support for a new algorithm is a breaking change, as we will
+			// immediately negotiate it even if existing implementations don't support
+			// it. If that ever happens, we'll have to figure something out.)
+			// If k is not an AlgorithmSigner, we can only assume it only supports the
+			// algorithms that matches the key format. (This means that Sign can't pick
+			// a different default.)
+			keyFormat := k.PublicKey().Type()
+			if _, ok := k.(AlgorithmSigner); ok {
+				msg.ServerHostKeyAlgos = append(msg.ServerHostKeyAlgos, algorithmsForKeyFormat(keyFormat)...)
+			} else {
+				msg.ServerHostKeyAlgos = append(msg.ServerHostKeyAlgos, keyFormat)
+			}
 		}
 	} else {
 		msg.ServerHostKeyAlgos = t.hostKeyAlgorithms
+
+		// As a client we opt in to receiving SSH_MSG_EXT_INFO so we know what
+		// algorithms the server supports for public key authentication. See RFC
+		// 8308, Section 2.1.
+		if firstKeyExchange := t.sessionID == nil; firstKeyExchange {
+			msg.KexAlgos = make([]string, 0, len(t.config.KeyExchanges)+1)
+			msg.KexAlgos = append(msg.KexAlgos, t.config.KeyExchanges...)
+			msg.KexAlgos = append(msg.KexAlgos, "ext-info-c")
+		}
 	}
+
 	packet := Marshal(msg)
 
 	// writePacket destroys the contents, so save a copy.
@@ -582,9 +606,9 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error {
 
 	var result *kexResult
 	if len(t.hostKeys) > 0 {
-		result, err = t.server(kex, t.algorithms, &magics)
+		result, err = t.server(kex, &magics)
 	} else {
-		result, err = t.client(kex, t.algorithms, &magics)
+		result, err = t.client(kex, &magics)
 	}
 
 	if err != nil {
@@ -611,19 +635,52 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error {
 	return nil
 }
 
-func (t *handshakeTransport) server(kex kexAlgorithm, algs *algorithms, magics *handshakeMagics) (*kexResult, error) {
+// algorithmSignerWrapper is an AlgorithmSigner that only supports the default
-	var hostKey Signer
+// key format algorithm.
-	for _, k := range t.hostKeys {
+//
-		if algs.hostKey == k.PublicKey().Type() {
+// This is technically a violation of the AlgorithmSigner interface, but it
-			hostKey = k
+// should be unreachable given where we use this. Anyway, at least it returns an
+// error instead of panicing or producing an incorrect signature.
+type algorithmSignerWrapper struct {
+	Signer
+}
+
+func (a algorithmSignerWrapper) SignWithAlgorithm(rand io.Reader, data []byte, algorithm string) (*Signature, error) {
+	if algorithm != underlyingAlgo(a.PublicKey().Type()) {
+		return nil, errors.New("ssh: internal error: algorithmSignerWrapper invoked with non-default algorithm")
+	}
+	return a.Sign(rand, data)
+}
+
+func pickHostKey(hostKeys []Signer, algo string) AlgorithmSigner {
+	for _, k := range hostKeys {
+		if algo == k.PublicKey().Type() {
+			return algorithmSignerWrapper{k}
+		}
+		k, ok := k.(AlgorithmSigner)
+		if !ok {
+			continue
+		}
+		for _, a := range algorithmsForKeyFormat(k.PublicKey().Type()) {
+			if algo == a {
+				return k
+			}
 		}
 	}
+	return nil
+}
 
-	r, err := kex.Server(t.conn, t.config.Rand, magics, hostKey)
+func (t *handshakeTransport) server(kex kexAlgorithm, magics *handshakeMagics) (*kexResult, error) {
+	hostKey := pickHostKey(t.hostKeys, t.algorithms.hostKey)
+	if hostKey == nil {
+		return nil, errors.New("ssh: internal error: negotiated unsupported signature type")
+	}
+
+	r, err := kex.Server(t.conn, t.config.Rand, magics, hostKey, t.algorithms.hostKey)
 	return r, err
 }
 
-func (t *handshakeTransport) client(kex kexAlgorithm, algs *algorithms, magics *handshakeMagics) (*kexResult, error) {
+func (t *handshakeTransport) client(kex kexAlgorithm, magics *handshakeMagics) (*kexResult, error) {
 	result, err := kex.Client(t.conn, t.config.Rand, magics)
 	if err != nil {
 		return nil, err
@@ -634,7 +691,7 @@ func (t *handshakeTransport) client(kex kexAlgorithm, algs *algorithms, magics *
 		return nil, err
 	}
 
-	if err := verifyHostKeySignature(hostKey, result); err != nil {
+	if err := verifyHostKeySignature(hostKey, t.algorithms.hostKey, result); err != nil {
 		return nil, err
 	}
 

vendor/golang.org/x/crypto/ssh/kex.go

@@ -20,12 +20,14 @@ import (
 )
 
 const (
-	kexAlgoDH1SHA1          = "diffie-hellman-group1-sha1"
+	kexAlgoDH1SHA1                = "diffie-hellman-group1-sha1"
-	kexAlgoDH14SHA1         = "diffie-hellman-group14-sha1"
+	kexAlgoDH14SHA1               = "diffie-hellman-group14-sha1"
-	kexAlgoECDH256          = "ecdh-sha2-nistp256"
+	kexAlgoDH14SHA256             = "diffie-hellman-group14-sha256"
-	kexAlgoECDH384          = "ecdh-sha2-nistp384"
+	kexAlgoECDH256                = "ecdh-sha2-nistp256"
-	kexAlgoECDH521          = "ecdh-sha2-nistp521"
+	kexAlgoECDH384                = "ecdh-sha2-nistp384"
-	kexAlgoCurve25519SHA256 = "curve25519-sha256@libssh.org"
+	kexAlgoECDH521                = "ecdh-sha2-nistp521"
+	kexAlgoCurve25519SHA256LibSSH = "curve25519-sha256@libssh.org"
+	kexAlgoCurve25519SHA256       = "curve25519-sha256"
 
 	// For the following kex only the client half contains a production
 	// ready implementation. The server half only consists of a minimal
@@ -75,8 +77,9 @@ func (m *handshakeMagics) write(w io.Writer) {
 // kexAlgorithm abstracts different key exchange algorithms.
 type kexAlgorithm interface {
 	// Server runs server-side key agreement, signing the result
-	// with a hostkey.
+	// with a hostkey. algo is the negotiated algorithm, and may
-	Server(p packetConn, rand io.Reader, magics *handshakeMagics, s Signer) (*kexResult, error)
+	// be a certificate type.
+	Server(p packetConn, rand io.Reader, magics *handshakeMagics, s AlgorithmSigner, algo string) (*kexResult, error)
 
 	// Client runs the client-side key agreement. Caller is
 	// responsible for verifying the host key signature.
@@ -86,6 +89,7 @@ type kexAlgorithm interface {
 // dhGroup is a multiplicative group suitable for implementing Diffie-Hellman key agreement.
 type dhGroup struct {
 	g, p, pMinus1 *big.Int
+	hashFunc      crypto.Hash
 }
 
 func (group *dhGroup) diffieHellman(theirPublic, myPrivate *big.Int) (*big.Int, error) {
@@ -96,8 +100,6 @@ func (group *dhGroup) diffieHellman(theirPublic, myPrivate *big.Int) (*big.Int,
 }
 
 func (group *dhGroup) Client(c packetConn, randSource io.Reader, magics *handshakeMagics) (*kexResult, error) {
-	hashFunc := crypto.SHA1
-
 	var x *big.Int
 	for {
 		var err error
@@ -132,7 +134,7 @@ func (group *dhGroup) Client(c packetConn, randSource io.Reader, magics *handsha
 		return nil, err
 	}
 
-	h := hashFunc.New()
+	h := group.hashFunc.New()
 	magics.write(h)
 	writeString(h, kexDHReply.HostKey)
 	writeInt(h, X)
@@ -146,12 +148,11 @@ func (group *dhGroup) Client(c packetConn, randSource io.Reader, magics *handsha
 		K:         K,
 		HostKey:   kexDHReply.HostKey,
 		Signature: kexDHReply.Signature,
-		Hash:      crypto.SHA1,
+		Hash:      group.hashFunc,
 	}, nil
 }
 
-func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) {
+func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handshakeMagics, priv AlgorithmSigner, algo string) (result *kexResult, err error) {
-	hashFunc := crypto.SHA1
 	packet, err := c.readPacket()
 	if err != nil {
 		return
@@ -179,7 +180,7 @@ func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handsha
 
 	hostKeyBytes := priv.PublicKey().Marshal()
 
-	h := hashFunc.New()
+	h := group.hashFunc.New()
 	magics.write(h)
 	writeString(h, hostKeyBytes)
 	writeInt(h, kexDHInit.X)
@@ -193,7 +194,7 @@ func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handsha
 
 	// H is already a hash, but the hostkey signing will apply its
 	// own key-specific hash algorithm.
-	sig, err := signAndMarshal(priv, randSource, H)
+	sig, err := signAndMarshal(priv, randSource, H, algo)
 	if err != nil {
 		return nil, err
 	}
@@ -211,7 +212,7 @@ func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handsha
 		K:         K,
 		HostKey:   hostKeyBytes,
 		Signature: sig,
-		Hash:      crypto.SHA1,
+		Hash:      group.hashFunc,
 	}, err
 }
 
@@ -314,7 +315,7 @@ func validateECPublicKey(curve elliptic.Curve, x, y *big.Int) bool {
 	return true
 }
 
-func (kex *ecdh) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) {
+func (kex *ecdh) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv AlgorithmSigner, algo string) (result *kexResult, err error) {
 	packet, err := c.readPacket()
 	if err != nil {
 		return nil, err
@@ -359,7 +360,7 @@ func (kex *ecdh) Server(c packetConn, rand io.Reader, magics *handshakeMagics, p
 
 	// H is already a hash, but the hostkey signing will apply its
 	// own key-specific hash algorithm.
-	sig, err := signAndMarshal(priv, rand, H)
+	sig, err := signAndMarshal(priv, rand, H, algo)
 	if err != nil {
 		return nil, err
 	}
@@ -384,39 +385,62 @@ func (kex *ecdh) Server(c packetConn, rand io.Reader, magics *handshakeMagics, p
 	}, nil
 }
 
+// ecHash returns the hash to match the given elliptic curve, see RFC
+// 5656, section 6.2.1
+func ecHash(curve elliptic.Curve) crypto.Hash {
+	bitSize := curve.Params().BitSize
+	switch {
+	case bitSize <= 256:
+		return crypto.SHA256
+	case bitSize <= 384:
+		return crypto.SHA384
+	}
+	return crypto.SHA512
+}
+
 var kexAlgoMap = map[string]kexAlgorithm{}
 
 func init() {
-	// This is the group called diffie-hellman-group1-sha1 in RFC
+	// This is the group called diffie-hellman-group1-sha1 in
-	// 4253 and Oakley Group 2 in RFC 2409.
+	// RFC 4253 and Oakley Group 2 in RFC 2409.
 	p, _ := new(big.Int).SetString("FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF", 16)
 	kexAlgoMap[kexAlgoDH1SHA1] = &dhGroup{
+		g:        new(big.Int).SetInt64(2),
+		p:        p,
+		pMinus1:  new(big.Int).Sub(p, bigOne),
+		hashFunc: crypto.SHA1,
+	}
+
+	// This are the groups called diffie-hellman-group14-sha1 and
+	// diffie-hellman-group14-sha256 in RFC 4253 and RFC 8268,
+	// and Oakley Group 14 in RFC 3526.
+	p, _ = new(big.Int).SetString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
+	group14 := &dhGroup{
 		g:       new(big.Int).SetInt64(2),
 		p:       p,
 		pMinus1: new(big.Int).Sub(p, bigOne),
 	}
 
-	// This is the group called diffie-hellman-group14-sha1 in RFC
-	// 4253 and Oakley Group 14 in RFC 3526.
-	p, _ = new(big.Int).SetString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
-
 	kexAlgoMap[kexAlgoDH14SHA1] = &dhGroup{
-		g:       new(big.Int).SetInt64(2),
+		g: group14.g, p: group14.p, pMinus1: group14.pMinus1,
-		p:       p,
+		hashFunc: crypto.SHA1,
-		pMinus1: new(big.Int).Sub(p, bigOne),
+	}
+	kexAlgoMap[kexAlgoDH14SHA256] = &dhGroup{
+		g: group14.g, p: group14.p, pMinus1: group14.pMinus1,
+		hashFunc: crypto.SHA256,
 	}
 
 	kexAlgoMap[kexAlgoECDH521] = &ecdh{elliptic.P521()}
 	kexAlgoMap[kexAlgoECDH384] = &ecdh{elliptic.P384()}
 	kexAlgoMap[kexAlgoECDH256] = &ecdh{elliptic.P256()}
 	kexAlgoMap[kexAlgoCurve25519SHA256] = &curve25519sha256{}
+	kexAlgoMap[kexAlgoCurve25519SHA256LibSSH] = &curve25519sha256{}
 	kexAlgoMap[kexAlgoDHGEXSHA1] = &dhGEXSHA{hashFunc: crypto.SHA1}
 	kexAlgoMap[kexAlgoDHGEXSHA256] = &dhGEXSHA{hashFunc: crypto.SHA256}
 }
 
-// curve25519sha256 implements the curve25519-sha256@libssh.org key
+// curve25519sha256 implements the curve25519-sha256 (formerly known as
-// agreement protocol, as described in
+// curve25519-sha256@libssh.org) key exchange method, as described in RFC 8731.
-// https://git.libssh.org/projects/libssh.git/tree/doc/curve25519-sha256@libssh.org.txt
 type curve25519sha256 struct{}
 
 type curve25519KeyPair struct {
@@ -486,7 +510,7 @@ func (kex *curve25519sha256) Client(c packetConn, rand io.Reader, magics *handsh
 	}, nil
 }
 
-func (kex *curve25519sha256) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) {
+func (kex *curve25519sha256) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv AlgorithmSigner, algo string) (result *kexResult, err error) {
 	packet, err := c.readPacket()
 	if err != nil {
 		return
@@ -527,7 +551,7 @@ func (kex *curve25519sha256) Server(c packetConn, rand io.Reader, magics *handsh
 
 	H := h.Sum(nil)
 
-	sig, err := signAndMarshal(priv, rand, H)
+	sig, err := signAndMarshal(priv, rand, H, algo)
 	if err != nil {
 		return nil, err
 	}
@@ -553,7 +577,6 @@ func (kex *curve25519sha256) Server(c packetConn, rand io.Reader, magics *handsh
 // diffie-hellman-group-exchange-sha256 key agreement protocols,
 // as described in RFC 4419
 type dhGEXSHA struct {
-	g, p     *big.Int
 	hashFunc crypto.Hash
 }
 
@@ -563,14 +586,7 @@ const (
 	dhGroupExchangeMaximumBits   = 8192
 )
 
-func (gex *dhGEXSHA) diffieHellman(theirPublic, myPrivate *big.Int) (*big.Int, error) {
+func (gex *dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshakeMagics) (*kexResult, error) {
-	if theirPublic.Sign() <= 0 || theirPublic.Cmp(gex.p) >= 0 {
-		return nil, fmt.Errorf("ssh: DH parameter out of bounds")
-	}
-	return new(big.Int).Exp(theirPublic, myPrivate, gex.p), nil
-}
-
-func (gex dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshakeMagics) (*kexResult, error) {
 	// Send GexRequest
 	kexDHGexRequest := kexDHGexRequestMsg{
 		MinBits:      dhGroupExchangeMinimumBits,
@@ -587,35 +603,29 @@ func (gex dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshake
 		return nil, err
 	}
 
-	var kexDHGexGroup kexDHGexGroupMsg
+	var msg kexDHGexGroupMsg
-	if err = Unmarshal(packet, &kexDHGexGroup); err != nil {
+	if err = Unmarshal(packet, &msg); err != nil {
 		return nil, err
 	}
 
 	// reject if p's bit length < dhGroupExchangeMinimumBits or > dhGroupExchangeMaximumBits
-	if kexDHGexGroup.P.BitLen() < dhGroupExchangeMinimumBits || kexDHGexGroup.P.BitLen() > dhGroupExchangeMaximumBits {
+	if msg.P.BitLen() < dhGroupExchangeMinimumBits || msg.P.BitLen() > dhGroupExchangeMaximumBits {
-		return nil, fmt.Errorf("ssh: server-generated gex p is out of range (%d bits)", kexDHGexGroup.P.BitLen())
+		return nil, fmt.Errorf("ssh: server-generated gex p is out of range (%d bits)", msg.P.BitLen())
 	}
 
-	gex.p = kexDHGexGroup.P
+	// Check if g is safe by verifying that 1 < g < p-1
-	gex.g = kexDHGexGroup.G
+	pMinusOne := new(big.Int).Sub(msg.P, bigOne)
-
+	if msg.G.Cmp(bigOne) <= 0 || msg.G.Cmp(pMinusOne) >= 0 {
-	// Check if g is safe by verifing that g > 1 and g < p - 1
-	one := big.NewInt(1)
-	var pMinusOne = &big.Int{}
-	pMinusOne.Sub(gex.p, one)
-	if gex.g.Cmp(one) != 1 && gex.g.Cmp(pMinusOne) != -1 {
 		return nil, fmt.Errorf("ssh: server provided gex g is not safe")
 	}
 
 	// Send GexInit
-	var pHalf = &big.Int{}
+	pHalf := new(big.Int).Rsh(msg.P, 1)
-	pHalf.Rsh(gex.p, 1)
 	x, err := rand.Int(randSource, pHalf)
 	if err != nil {
 		return nil, err
 	}
-	X := new(big.Int).Exp(gex.g, x, gex.p)
+	X := new(big.Int).Exp(msg.G, x, msg.P)
 	kexDHGexInit := kexDHGexInitMsg{
 		X: X,
 	}
@@ -634,13 +644,13 @@ func (gex dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshake
 		return nil, err
 	}
 
-	kInt, err := gex.diffieHellman(kexDHGexReply.Y, x)
+	if kexDHGexReply.Y.Cmp(bigOne) <= 0 || kexDHGexReply.Y.Cmp(pMinusOne) >= 0 {
-	if err != nil {
+		return nil, errors.New("ssh: DH parameter out of bounds")
-		return nil, err
 	}
+	kInt := new(big.Int).Exp(kexDHGexReply.Y, x, msg.P)
 
-	// Check if k is safe by verifing that k > 1 and k < p - 1
+	// Check if k is safe by verifying that k > 1 and k < p - 1
-	if kInt.Cmp(one) != 1 && kInt.Cmp(pMinusOne) != -1 {
+	if kInt.Cmp(bigOne) <= 0 || kInt.Cmp(pMinusOne) >= 0 {
 		return nil, fmt.Errorf("ssh: derived k is not safe")
 	}
 
@@ -650,8 +660,8 @@ func (gex dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshake
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangeMinimumBits))
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangePreferredBits))
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangeMaximumBits))
-	writeInt(h, gex.p)
+	writeInt(h, msg.P)
-	writeInt(h, gex.g)
+	writeInt(h, msg.G)
 	writeInt(h, X)
 	writeInt(h, kexDHGexReply.Y)
 	K := make([]byte, intLength(kInt))
@@ -670,7 +680,7 @@ func (gex dhGEXSHA) Client(c packetConn, randSource io.Reader, magics *handshake
 // Server half implementation of the Diffie Hellman Key Exchange with SHA1 and SHA256.
 //
 // This is a minimal implementation to satisfy the automated tests.
-func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) {
+func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshakeMagics, priv AlgorithmSigner, algo string) (result *kexResult, err error) {
 	// Receive GexRequest
 	packet, err := c.readPacket()
 	if err != nil {
@@ -681,35 +691,17 @@ func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshake
 		return
 	}
 
-	// smoosh the user's preferred size into our own limits
-	if kexDHGexRequest.PreferedBits > dhGroupExchangeMaximumBits {
-		kexDHGexRequest.PreferedBits = dhGroupExchangeMaximumBits
-	}
-	if kexDHGexRequest.PreferedBits < dhGroupExchangeMinimumBits {
-		kexDHGexRequest.PreferedBits = dhGroupExchangeMinimumBits
-	}
-	// fix min/max if they're inconsistent.  technically, we could just pout
-	// and hang up, but there's no harm in giving them the benefit of the
-	// doubt and just picking a bitsize for them.
-	if kexDHGexRequest.MinBits > kexDHGexRequest.PreferedBits {
-		kexDHGexRequest.MinBits = kexDHGexRequest.PreferedBits
-	}
-	if kexDHGexRequest.MaxBits < kexDHGexRequest.PreferedBits {
-		kexDHGexRequest.MaxBits = kexDHGexRequest.PreferedBits
-	}
-
 	// Send GexGroup
 	// This is the group called diffie-hellman-group14-sha1 in RFC
 	// 4253 and Oakley Group 14 in RFC 3526.
 	p, _ := new(big.Int).SetString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
-	gex.p = p
+	g := big.NewInt(2)
-	gex.g = big.NewInt(2)
 
-	kexDHGexGroup := kexDHGexGroupMsg{
+	msg := &kexDHGexGroupMsg{
-		P: gex.p,
+		P: p,
-		G: gex.g,
+		G: g,
 	}
-	if err := c.writePacket(Marshal(&kexDHGexGroup)); err != nil {
+	if err := c.writePacket(Marshal(msg)); err != nil {
 		return nil, err
 	}
 
@@ -723,19 +715,19 @@ func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshake
 		return
 	}
 
-	var pHalf = &big.Int{}
+	pHalf := new(big.Int).Rsh(p, 1)
-	pHalf.Rsh(gex.p, 1)
 
 	y, err := rand.Int(randSource, pHalf)
 	if err != nil {
 		return
 	}
+	Y := new(big.Int).Exp(g, y, p)
 
-	Y := new(big.Int).Exp(gex.g, y, gex.p)
+	pMinusOne := new(big.Int).Sub(p, bigOne)
-	kInt, err := gex.diffieHellman(kexDHGexInit.X, y)
+	if kexDHGexInit.X.Cmp(bigOne) <= 0 || kexDHGexInit.X.Cmp(pMinusOne) >= 0 {
-	if err != nil {
+		return nil, errors.New("ssh: DH parameter out of bounds")
-		return nil, err
 	}
+	kInt := new(big.Int).Exp(kexDHGexInit.X, y, p)
 
 	hostKeyBytes := priv.PublicKey().Marshal()
 
@@ -745,8 +737,8 @@ func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshake
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangeMinimumBits))
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangePreferredBits))
 	binary.Write(h, binary.BigEndian, uint32(dhGroupExchangeMaximumBits))
-	writeInt(h, gex.p)
+	writeInt(h, p)
-	writeInt(h, gex.g)
+	writeInt(h, g)
 	writeInt(h, kexDHGexInit.X)
 	writeInt(h, Y)
 
@@ -758,7 +750,7 @@ func (gex dhGEXSHA) Server(c packetConn, randSource io.Reader, magics *handshake
 
 	// H is already a hash, but the hostkey signing will apply its
 	// own key-specific hash algorithm.
-	sig, err := signAndMarshal(priv, randSource, H)
+	sig, err := signAndMarshal(priv, randSource, H, algo)
 	if err != nil {
 		return nil, err
 	}

vendor/golang.org/x/crypto/ssh/keys.go

@@ -30,8 +30,9 @@ import (
 	"golang.org/x/crypto/ssh/internal/bcrypt_pbkdf"
 )
 
-// These constants represent the algorithm names for key types supported by this
+// Public key algorithms names. These values can appear in PublicKey.Type,
-// package.
+// ClientConfig.HostKeyAlgorithms, Signature.Format, or as AlgorithmSigner
+// arguments.
 const (
 	KeyAlgoRSA        = "ssh-rsa"
 	KeyAlgoDSA        = "ssh-dss"
@@ -41,16 +42,21 @@ const (
 	KeyAlgoECDSA521   = "ecdsa-sha2-nistp521"
 	KeyAlgoED25519    = "ssh-ed25519"
 	KeyAlgoSKED25519  = "sk-ssh-ed25519@openssh.com"
+
+	// KeyAlgoRSASHA256 and KeyAlgoRSASHA512 are only public key algorithms, not
+	// public key formats, so they can't appear as a PublicKey.Type. The
+	// corresponding PublicKey.Type is KeyAlgoRSA. See RFC 8332, Section 2.
+	KeyAlgoRSASHA256 = "rsa-sha2-256"
+	KeyAlgoRSASHA512 = "rsa-sha2-512"
 )
 
-// These constants represent non-default signature algorithms that are supported
-// as algorithm parameters to AlgorithmSigner.SignWithAlgorithm methods. See
-// [PROTOCOL.agent] section 4.5.1 and
-// https://tools.ietf.org/html/draft-ietf-curdle-rsa-sha2-10
 const (
-	SigAlgoRSA        = "ssh-rsa"
+	// Deprecated: use KeyAlgoRSA.
-	SigAlgoRSASHA2256 = "rsa-sha2-256"
+	SigAlgoRSA = KeyAlgoRSA
-	SigAlgoRSASHA2512 = "rsa-sha2-512"
+	// Deprecated: use KeyAlgoRSASHA256.
+	SigAlgoRSASHA2256 = KeyAlgoRSASHA256
+	// Deprecated: use KeyAlgoRSASHA512.
+	SigAlgoRSASHA2512 = KeyAlgoRSASHA512
 )
 
 // parsePubKey parses a public key of the given algorithm.
@@ -70,7 +76,7 @@ func parsePubKey(in []byte, algo string) (pubKey PublicKey, rest []byte, err err
 	case KeyAlgoSKED25519:
 		return parseSKEd25519(in)
 	case CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoSKECDSA256v01, CertAlgoED25519v01, CertAlgoSKED25519v01:
-		cert, err := parseCert(in, certToPrivAlgo(algo))
+		cert, err := parseCert(in, certKeyAlgoNames[algo])
 		if err != nil {
 			return nil, nil, err
 		}
@@ -178,7 +184,7 @@ func ParseKnownHosts(in []byte) (marker string, hosts []string, pubKey PublicKey
 	return "", nil, nil, "", nil, io.EOF
 }
 
-// ParseAuthorizedKeys parses a public key from an authorized_keys
+// ParseAuthorizedKey parses a public key from an authorized_keys
 // file used in OpenSSH according to the sshd(8) manual page.
 func ParseAuthorizedKey(in []byte) (out PublicKey, comment string, options []string, rest []byte, err error) {
 	for len(in) > 0 {
@@ -289,18 +295,21 @@ func MarshalAuthorizedKey(key PublicKey) []byte {
 	return b.Bytes()
 }
 
-// PublicKey is an abstraction of different types of public keys.
+// PublicKey represents a public key using an unspecified algorithm.
+//
+// Some PublicKeys provided by this package also implement CryptoPublicKey.
 type PublicKey interface {
-	// Type returns the key's type, e.g. "ssh-rsa".
+	// Type returns the key format name, e.g. "ssh-rsa".
 	Type() string
 
-	// Marshal returns the serialized key data in SSH wire format,
+	// Marshal returns the serialized key data in SSH wire format, with the name
-	// with the name prefix. To unmarshal the returned data, use
+	// prefix. To unmarshal the returned data, use the ParsePublicKey function.
-	// the ParsePublicKey function.
 	Marshal() []byte
 
-	// Verify that sig is a signature on the given data using this
+	// Verify that sig is a signature on the given data using this key. This
-	// key. This function will hash the data appropriately first.
+	// method will hash the data appropriately first. sig.Format is allowed to
+	// be any signature algorithm compatible with the key type, the caller
+	// should check if it has more stringent requirements.
 	Verify(data []byte, sig *Signature) error
 }
 
@@ -311,25 +320,32 @@ type CryptoPublicKey interface {
 }
 
 // A Signer can create signatures that verify against a public key.
+//
+// Some Signers provided by this package also implement AlgorithmSigner.
 type Signer interface {
-	// PublicKey returns an associated PublicKey instance.
+	// PublicKey returns the associated PublicKey.
 	PublicKey() PublicKey
 
-	// Sign returns raw signature for the given data. This method
+	// Sign returns a signature for the given data. This method will hash the
-	// will apply the hash specified for the keytype to the data.
+	// data appropriately first. The signature algorithm is expected to match
+	// the key format returned by the PublicKey.Type method (and not to be any
+	// alternative algorithm supported by the key format).
 	Sign(rand io.Reader, data []byte) (*Signature, error)
 }
 
-// A AlgorithmSigner is a Signer that also supports specifying a specific
+// An AlgorithmSigner is a Signer that also supports specifying an algorithm to
-// algorithm to use for signing.
+// use for signing.
+//
+// An AlgorithmSigner can't advertise the algorithms it supports, so it should
+// be prepared to be invoked with every algorithm supported by the public key
+// format.
 type AlgorithmSigner interface {
 	Signer
 
-	// SignWithAlgorithm is like Signer.Sign, but allows specification of a
+	// SignWithAlgorithm is like Signer.Sign, but allows specifying a desired
-	// non-default signing algorithm. See the SigAlgo* constants in this
+	// signing algorithm. Callers may pass an empty string for the algorithm in
-	// package for signature algorithms supported by this package. Callers may
+	// which case the AlgorithmSigner will use a default algorithm. This default
-	// pass an empty string for the algorithm in which case the AlgorithmSigner
+	// doesn't currently control any behavior in this package.
-	// will use its default algorithm.
 	SignWithAlgorithm(rand io.Reader, data []byte, algorithm string) (*Signature, error)
 }
 
@@ -381,17 +397,11 @@ func (r *rsaPublicKey) Marshal() []byte {
 }
 
 func (r *rsaPublicKey) Verify(data []byte, sig *Signature) error {
-	var hash crypto.Hash
+	supportedAlgos := algorithmsForKeyFormat(r.Type())
-	switch sig.Format {
+	if !contains(supportedAlgos, sig.Format) {
-	case SigAlgoRSA:
-		hash = crypto.SHA1
-	case SigAlgoRSASHA2256:
-		hash = crypto.SHA256
-	case SigAlgoRSASHA2512:
-		hash = crypto.SHA512
-	default:
 		return fmt.Errorf("ssh: signature type %s for key type %s", sig.Format, r.Type())
 	}
+	hash := hashFuncs[sig.Format]
 	h := hash.New()
 	h.Write(data)
 	digest := h.Sum(nil)
@@ -466,7 +476,7 @@ func (k *dsaPublicKey) Verify(data []byte, sig *Signature) error {
 	if sig.Format != k.Type() {
 		return fmt.Errorf("ssh: signature type %s for key type %s", sig.Format, k.Type())
 	}
-	h := crypto.SHA1.New()
+	h := hashFuncs[sig.Format].New()
 	h.Write(data)
 	digest := h.Sum(nil)
 
@@ -499,7 +509,7 @@ func (k *dsaPrivateKey) PublicKey() PublicKey {
 }
 
 func (k *dsaPrivateKey) Sign(rand io.Reader, data []byte) (*Signature, error) {
-	return k.SignWithAlgorithm(rand, data, "")
+	return k.SignWithAlgorithm(rand, data, k.PublicKey().Type())
 }
 
 func (k *dsaPrivateKey) SignWithAlgorithm(rand io.Reader, data []byte, algorithm string) (*Signature, error) {
@@ -507,7 +517,7 @@ func (k *dsaPrivateKey) SignWithAlgorithm(rand io.Reader, data []byte, algorithm
 		return nil, fmt.Errorf("ssh: unsupported signature algorithm %s", algorithm)
 	}
 
-	h := crypto.SHA1.New()
+	h := hashFuncs[k.PublicKey().Type()].New()
 	h.Write(data)
 	digest := h.Sum(nil)
 	r, s, err := dsa.Sign(rand, k.PrivateKey, digest)
@@ -603,19 +613,6 @@ func supportedEllipticCurve(curve elliptic.Curve) bool {
 	return curve == elliptic.P256() || curve == elliptic.P384() || curve == elliptic.P521()
 }
 
-// ecHash returns the hash to match the given elliptic curve, see RFC
-// 5656, section 6.2.1
-func ecHash(curve elliptic.Curve) crypto.Hash {
-	bitSize := curve.Params().BitSize
-	switch {
-	case bitSize <= 256:
-		return crypto.SHA256
-	case bitSize <= 384:
-		return crypto.SHA384
-	}
-	return crypto.SHA512
-}
-
 // parseECDSA parses an ECDSA key according to RFC 5656, section 3.1.
 func parseECDSA(in []byte) (out PublicKey, rest []byte, err error) {
 	var w struct {
@@ -671,7 +668,7 @@ func (k *ecdsaPublicKey) Verify(data []byte, sig *Signature) error {
 		return fmt.Errorf("ssh: signature type %s for key type %s", sig.Format, k.Type())
 	}
 
-	h := ecHash(k.Curve).New()
+	h := hashFuncs[sig.Format].New()
 	h.Write(data)
 	digest := h.Sum(nil)
 
@@ -775,7 +772,7 @@ func (k *skECDSAPublicKey) Verify(data []byte, sig *Signature) error {
 		return fmt.Errorf("ssh: signature type %s for key type %s", sig.Format, k.Type())
 	}
 
-	h := ecHash(k.Curve).New()
+	h := hashFuncs[sig.Format].New()
 	h.Write([]byte(k.application))
 	appDigest := h.Sum(nil)
 
@@ -874,7 +871,7 @@ func (k *skEd25519PublicKey) Verify(data []byte, sig *Signature) error {
 		return fmt.Errorf("invalid size %d for Ed25519 public key", l)
 	}
 
-	h := sha256.New()
+	h := hashFuncs[sig.Format].New()
 	h.Write([]byte(k.application))
 	appDigest := h.Sum(nil)
 
@@ -961,44 +958,20 @@ func (s *wrappedSigner) PublicKey() PublicKey {
 }
 
 func (s *wrappedSigner) Sign(rand io.Reader, data []byte) (*Signature, error) {
-	return s.SignWithAlgorithm(rand, data, "")
+	return s.SignWithAlgorithm(rand, data, s.pubKey.Type())
 }
 
 func (s *wrappedSigner) SignWithAlgorithm(rand io.Reader, data []byte, algorithm string) (*Signature, error) {
-	var hashFunc crypto.Hash
+	if algorithm == "" {
-
+		algorithm = s.pubKey.Type()
-	if _, ok := s.pubKey.(*rsaPublicKey); ok {
-		// RSA keys support a few hash functions determined by the requested signature algorithm
-		switch algorithm {
-		case "", SigAlgoRSA:
-			algorithm = SigAlgoRSA
-			hashFunc = crypto.SHA1
-		case SigAlgoRSASHA2256:
-			hashFunc = crypto.SHA256
-		case SigAlgoRSASHA2512:
-			hashFunc = crypto.SHA512
-		default:
-			return nil, fmt.Errorf("ssh: unsupported signature algorithm %s", algorithm)
-		}
-	} else {
-		// The only supported algorithm for all other key types is the same as the type of the key
-		if algorithm == "" {
-			algorithm = s.pubKey.Type()
-		} else if algorithm != s.pubKey.Type() {
-			return nil, fmt.Errorf("ssh: unsupported signature algorithm %s", algorithm)
-		}
-
-		switch key := s.pubKey.(type) {
-		case *dsaPublicKey:
-			hashFunc = crypto.SHA1
-		case *ecdsaPublicKey:
-			hashFunc = ecHash(key.Curve)
-		case ed25519PublicKey:
-		default:
-			return nil, fmt.Errorf("ssh: unsupported key type %T", key)
-		}
 	}
 
+	supportedAlgos := algorithmsForKeyFormat(s.pubKey.Type())
+	if !contains(supportedAlgos, algorithm) {
+		return nil, fmt.Errorf("ssh: unsupported signature algorithm %q for key format %q", algorithm, s.pubKey.Type())
+	}
+
+	hashFunc := hashFuncs[algorithm]
 	var digest []byte
 	if hashFunc != 0 {
 		h := hashFunc.New()

vendor/golang.org/x/crypto/ssh/messages.go

@@ -141,6 +141,14 @@ type serviceAcceptMsg struct {
 	Service string `sshtype:"6"`
 }
 
+// See RFC 8308, section 2.3
+const msgExtInfo = 7
+
+type extInfoMsg struct {
+	NumExtensions uint32 `sshtype:"7"`
+	Payload       []byte `ssh:"rest"`
+}
+
 // See RFC 4252, section 5.
 const msgUserAuthRequest = 50
 
@@ -180,11 +188,11 @@ const msgUserAuthInfoRequest = 60
 const msgUserAuthInfoResponse = 61
 
 type userAuthInfoRequestMsg struct {
-	User               string `sshtype:"60"`
+	Name        string `sshtype:"60"`
-	Instruction        string
+	Instruction string
-	DeprecatedLanguage string
+	Language    string
-	NumPrompts         uint32
+	NumPrompts  uint32
-	Prompts            []byte `ssh:"rest"`
+	Prompts     []byte `ssh:"rest"`
 }
 
 // See RFC 4254, section 5.1.
@@ -782,6 +790,8 @@ func decode(packet []byte) (interface{}, error) {
 		msg = new(serviceRequestMsg)
 	case msgServiceAccept:
 		msg = new(serviceAcceptMsg)
+	case msgExtInfo:
+		msg = new(extInfoMsg)
 	case msgKexInit:
 		msg = new(kexInitMsg)
 	case msgKexDHInit:
@@ -843,6 +853,7 @@ var packetTypeNames = map[byte]string{
 	msgDisconnect:          "disconnectMsg",
 	msgServiceRequest:      "serviceRequestMsg",
 	msgServiceAccept:       "serviceAcceptMsg",
+	msgExtInfo:             "extInfoMsg",
 	msgKexInit:             "kexInitMsg",
 	msgKexDHInit:           "kexDHInitMsg",
 	msgKexDHReply:          "kexDHReplyMsg",

vendor/golang.org/x/crypto/ssh/server.go

@@ -68,8 +68,16 @@ type ServerConfig struct {
 
 	// NoClientAuth is true if clients are allowed to connect without
 	// authenticating.
+	// To determine NoClientAuth at runtime, set NoClientAuth to true
+	// and the optional NoClientAuthCallback to a non-nil value.
 	NoClientAuth bool
 
+	// NoClientAuthCallback, if non-nil, is called when a user
+	// attempts to authenticate with auth method "none".
+	// NoClientAuth must also be set to true for this be used, or
+	// this func is unused.
+	NoClientAuthCallback func(ConnMetadata) (*Permissions, error)
+
 	// MaxAuthTries specifies the maximum number of authentication attempts
 	// permitted per connection. If set to a negative number, the number of
 	// attempts are unlimited. If set to zero, the number of attempts are limited
@@ -120,7 +128,7 @@ type ServerConfig struct {
 }
 
 // AddHostKey adds a private key as a host key. If an existing host
-// key exists with the same algorithm, it is overwritten. Each server
+// key exists with the same public key format, it is replaced. Each server
 // config must have at least one host key.
 func (s *ServerConfig) AddHostKey(key Signer) {
 	for i, k := range s.hostKeys {
@@ -212,9 +220,10 @@ func NewServerConn(c net.Conn, config *ServerConfig) (*ServerConn, <-chan NewCha
 }
 
 // signAndMarshal signs the data with the appropriate algorithm,
-// and serializes the result in SSH wire format.
+// and serializes the result in SSH wire format. algo is the negotiate
-func signAndMarshal(k Signer, rand io.Reader, data []byte) ([]byte, error) {
+// algorithm and may be a certificate type.
-	sig, err := k.Sign(rand, data)
+func signAndMarshal(k AlgorithmSigner, rand io.Reader, data []byte, algo string) ([]byte, error) {
+	sig, err := k.SignWithAlgorithm(rand, data, underlyingAlgo(algo))
 	if err != nil {
 		return nil, err
 	}
@@ -284,7 +293,7 @@ func (s *connection) serverHandshake(config *ServerConfig) (*Permissions, error)
 
 func isAcceptableAlgo(algo string) bool {
 	switch algo {
-	case KeyAlgoRSA, KeyAlgoDSA, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, KeyAlgoSKECDSA256, KeyAlgoED25519, KeyAlgoSKED25519,
+	case KeyAlgoRSA, KeyAlgoRSASHA256, KeyAlgoRSASHA512, KeyAlgoDSA, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, KeyAlgoSKECDSA256, KeyAlgoED25519, KeyAlgoSKED25519,
 		CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoSKECDSA256v01, CertAlgoED25519v01, CertAlgoSKED25519v01:
 		return true
 	}
@@ -454,7 +463,11 @@ userAuthLoop:
 		switch userAuthReq.Method {
 		case "none":
 			if config.NoClientAuth {
-				authErr = nil
+				if config.NoClientAuthCallback != nil {
+					perms, authErr = config.NoClientAuthCallback(s)
+				} else {
+					authErr = nil
+				}
 			}
 
 			// allow initial attempt of 'none' without penalty
@@ -553,6 +566,7 @@ userAuthLoop:
 				if !ok || len(payload) > 0 {
 					return nil, parseError(msgUserAuthRequest)
 				}
+
 				// Ensure the public key algo and signature algo
 				// are supported.  Compare the private key
 				// algorithm name that corresponds to algo with
@@ -562,7 +576,12 @@ userAuthLoop:
 					authErr = fmt.Errorf("ssh: algorithm %q not accepted", sig.Format)
 					break
 				}
-				signedData := buildDataSignedForAuth(sessionID, userAuthReq, algoBytes, pubKeyData)
+				if underlyingAlgo(algo) != sig.Format {
+					authErr = fmt.Errorf("ssh: signature %q not compatible with selected algorithm %q", sig.Format, algo)
+					break
+				}
+
+				signedData := buildDataSignedForAuth(sessionID, userAuthReq, algo, pubKeyData)
 
 				if err := pubKey.Verify(signedData, sig); err != nil {
 					return nil, err
@@ -572,6 +591,10 @@ userAuthLoop:
 				perms = candidate.perms
 			}
 		case "gssapi-with-mic":
+			if config.GSSAPIWithMICConfig == nil {
+				authErr = errors.New("ssh: gssapi-with-mic auth not configured")
+				break
+			}
 			gssapiConfig := config.GSSAPIWithMICConfig
 			userAuthRequestGSSAPI, err := parseGSSAPIPayload(userAuthReq.Payload)
 			if err != nil {
@@ -629,6 +652,30 @@ userAuthLoop:
 		}
 
 		authFailures++
+		if config.MaxAuthTries > 0 && authFailures >= config.MaxAuthTries {
+			// If we have hit the max attempts, don't bother sending the
+			// final SSH_MSG_USERAUTH_FAILURE message, since there are
+			// no more authentication methods which can be attempted,
+			// and this message may cause the client to re-attempt
+			// authentication while we send the disconnect message.
+			// Continue, and trigger the disconnect at the start of
+			// the loop.
+			//
+			// The SSH specification is somewhat confusing about this,
+			// RFC 4252 Section 5.1 requires each authentication failure
+			// be responded to with a respective SSH_MSG_USERAUTH_FAILURE
+			// message, but Section 4 says the server should disconnect
+			// after some number of attempts, but it isn't explicit which
+			// message should take precedence (i.e. should there be a failure
+			// message than a disconnect message, or if we are going to
+			// disconnect, should we only send that message.)
+			//
+			// Either way, OpenSSH disconnects immediately after the last
+			// failed authnetication attempt, and given they are typically
+			// considered the golden implementation it seems reasonable
+			// to match that behavior.
+			continue
+		}
 
 		var failureMsg userAuthFailureMsg
 		if config.PasswordCallback != nil {
@@ -666,7 +713,7 @@ type sshClientKeyboardInteractive struct {
 	*connection
 }
 
-func (c *sshClientKeyboardInteractive) Challenge(user, instruction string, questions []string, echos []bool) (answers []string, err error) {
+func (c *sshClientKeyboardInteractive) Challenge(name, instruction string, questions []string, echos []bool) (answers []string, err error) {
 	if len(questions) != len(echos) {
 		return nil, errors.New("ssh: echos and questions must have equal length")
 	}
@@ -678,6 +725,7 @@ func (c *sshClientKeyboardInteractive) Challenge(user, instruction string, quest
 	}
 
 	if err := c.transport.writePacket(Marshal(&userAuthInfoRequestMsg{
+		Name:        name,
 		Instruction: instruction,
 		NumPrompts:  uint32(len(questions)),
 		Prompts:     prompts,

vendor/golang.org/x/crypto/ssh/session.go

@@ -13,7 +13,6 @@ import (
 	"errors"
 	"fmt"
 	"io"
-	"io/ioutil"
 	"sync"
 )
 
@@ -85,6 +84,7 @@ const (
 	IXANY         = 39
 	IXOFF         = 40
 	IMAXBEL       = 41
+	IUTF8         = 42 // RFC 8160
 	ISIG          = 50
 	ICANON        = 51
 	XCASE         = 52
@@ -123,7 +123,7 @@ type Session struct {
 	// output and error.
 	//
 	// If either is nil, Run connects the corresponding file
-	// descriptor to an instance of ioutil.Discard. There is a
+	// descriptor to an instance of io.Discard. There is a
 	// fixed amount of buffering that is shared for the two streams.
 	// If either blocks it may eventually cause the remote
 	// command to block.
@@ -505,7 +505,7 @@ func (s *Session) stdout() {
 		return
 	}
 	if s.Stdout == nil {
-		s.Stdout = ioutil.Discard
+		s.Stdout = io.Discard
 	}
 	s.copyFuncs = append(s.copyFuncs, func() error {
 		_, err := io.Copy(s.Stdout, s.ch)
@@ -518,7 +518,7 @@ func (s *Session) stderr() {
 		return
 	}
 	if s.Stderr == nil {
-		s.Stderr = ioutil.Discard
+		s.Stderr = io.Discard
 	}
 	s.copyFuncs = append(s.copyFuncs, func() error {
 		_, err := io.Copy(s.Stderr, s.ch.Stderr())

vendor/golang.org/x/crypto/ssh/transport.go

@@ -238,15 +238,19 @@ var (
 // (to setup server->client keys) or clientKeys (for client->server keys).
 func newPacketCipher(d direction, algs directionAlgorithms, kex *kexResult) (packetCipher, error) {
 	cipherMode := cipherModes[algs.Cipher]
-	macMode := macModes[algs.MAC]
 
 	iv := make([]byte, cipherMode.ivSize)
 	key := make([]byte, cipherMode.keySize)
-	macKey := make([]byte, macMode.keySize)
 
 	generateKeyMaterial(iv, d.ivTag, kex)
 	generateKeyMaterial(key, d.keyTag, kex)
-	generateKeyMaterial(macKey, d.macKeyTag, kex)
+
+	var macKey []byte
+	if !aeadCiphers[algs.Cipher] {
+		macMode := macModes[algs.MAC]
+		macKey = make([]byte, macMode.keySize)
+		generateKeyMaterial(macKey, d.macKeyTag, kex)
+	}
 
 	return cipherModes[algs.Cipher].create(key, iv, macKey, algs)
 }