summaryrefslogtreecommitdiffstats
path: root/vendor/golang.org/x/crypto/curve25519
diff options
context:
space:
mode:
Diffstat (limited to 'vendor/golang.org/x/crypto/curve25519')
-rw-r--r--vendor/golang.org/x/crypto/curve25519/const_amd64.h8
-rw-r--r--vendor/golang.org/x/crypto/curve25519/const_amd64.s20
-rw-r--r--vendor/golang.org/x/crypto/curve25519/cswap_amd64.s65
-rw-r--r--vendor/golang.org/x/crypto/curve25519/curve25519.go881
-rw-r--r--vendor/golang.org/x/crypto/curve25519/curve25519_amd64.go (renamed from vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go)2
-rw-r--r--vendor/golang.org/x/crypto/curve25519/curve25519_amd64.s (renamed from vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s)420
-rw-r--r--vendor/golang.org/x/crypto/curve25519/curve25519_generic.go828
-rw-r--r--vendor/golang.org/x/crypto/curve25519/curve25519_noasm.go11
-rw-r--r--vendor/golang.org/x/crypto/curve25519/doc.go23
-rw-r--r--vendor/golang.org/x/crypto/curve25519/freeze_amd64.s73
-rw-r--r--vendor/golang.org/x/crypto/curve25519/mul_amd64.s169
-rw-r--r--vendor/golang.org/x/crypto/curve25519/square_amd64.s132
12 files changed, 1329 insertions, 1303 deletions
diff --git a/vendor/golang.org/x/crypto/curve25519/const_amd64.h b/vendor/golang.org/x/crypto/curve25519/const_amd64.h
deleted file mode 100644
index b3f74162..00000000
--- a/vendor/golang.org/x/crypto/curve25519/const_amd64.h
+++ /dev/null
@@ -1,8 +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.
-
-// This code was translated into a form compatible with 6a from the public
-// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-
-#define REDMASK51 0x0007FFFFFFFFFFFF
diff --git a/vendor/golang.org/x/crypto/curve25519/const_amd64.s b/vendor/golang.org/x/crypto/curve25519/const_amd64.s
deleted file mode 100644
index ee7b4bd5..00000000
--- a/vendor/golang.org/x/crypto/curve25519/const_amd64.s
+++ /dev/null
@@ -1,20 +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.
-
-// This code was translated into a form compatible with 6a from the public
-// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-
-// +build amd64,!gccgo,!appengine
-
-// These constants cannot be encoded in non-MOVQ immediates.
-// We access them directly from memory instead.
-
-DATA ·_121666_213(SB)/8, $996687872
-GLOBL ·_121666_213(SB), 8, $8
-
-DATA ·_2P0(SB)/8, $0xFFFFFFFFFFFDA
-GLOBL ·_2P0(SB), 8, $8
-
-DATA ·_2P1234(SB)/8, $0xFFFFFFFFFFFFE
-GLOBL ·_2P1234(SB), 8, $8
diff --git a/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s b/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s
deleted file mode 100644
index cd793a5b..00000000
--- a/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s
+++ /dev/null
@@ -1,65 +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
-
-// func cswap(inout *[4][5]uint64, v uint64)
-TEXT ·cswap(SB),7,$0
- MOVQ inout+0(FP),DI
- MOVQ v+8(FP),SI
-
- SUBQ $1, SI
- NOTQ SI
- MOVQ SI, X15
- PSHUFD $0x44, X15, X15
-
- MOVOU 0(DI), X0
- MOVOU 16(DI), X2
- MOVOU 32(DI), X4
- MOVOU 48(DI), X6
- MOVOU 64(DI), X8
- MOVOU 80(DI), X1
- MOVOU 96(DI), X3
- MOVOU 112(DI), X5
- MOVOU 128(DI), X7
- MOVOU 144(DI), X9
-
- MOVO X1, X10
- MOVO X3, X11
- MOVO X5, X12
- MOVO X7, X13
- MOVO X9, X14
-
- PXOR X0, X10
- PXOR X2, X11
- PXOR X4, X12
- PXOR X6, X13
- PXOR X8, X14
- PAND X15, X10
- PAND X15, X11
- PAND X15, X12
- PAND X15, X13
- PAND X15, X14
- PXOR X10, X0
- PXOR X10, X1
- PXOR X11, X2
- PXOR X11, X3
- PXOR X12, X4
- PXOR X12, X5
- PXOR X13, X6
- PXOR X13, X7
- PXOR X14, X8
- PXOR X14, X9
-
- MOVOU X0, 0(DI)
- MOVOU X2, 16(DI)
- MOVOU X4, 32(DI)
- MOVOU X6, 48(DI)
- MOVOU X8, 64(DI)
- MOVOU X1, 80(DI)
- MOVOU X3, 96(DI)
- MOVOU X5, 112(DI)
- MOVOU X7, 128(DI)
- MOVOU X9, 144(DI)
- RET
diff --git a/vendor/golang.org/x/crypto/curve25519/curve25519.go b/vendor/golang.org/x/crypto/curve25519/curve25519.go
index 75f24bab..4b9a655d 100644
--- a/vendor/golang.org/x/crypto/curve25519/curve25519.go
+++ b/vendor/golang.org/x/crypto/curve25519/curve25519.go
@@ -1,834 +1,95 @@
-// Copyright 2013 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.
-// We have an implementation in amd64 assembly so this code is only run on
-// non-amd64 platforms. The amd64 assembly does not support gccgo.
-// +build !amd64 gccgo appengine
-
-package curve25519
+// Package curve25519 provides an implementation of the X25519 function, which
+// performs scalar multiplication on the elliptic curve known as Curve25519.
+// See RFC 7748.
+package curve25519 // import "golang.org/x/crypto/curve25519"
import (
- "encoding/binary"
+ "crypto/subtle"
+ "fmt"
)
-// 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.
+// ScalarMult sets dst to the product scalar * point.
//
-// 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)
+// Deprecated: when provided a low-order point, ScalarMult will set dst to all
+// 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)
}
-// 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.
+// ScalarBaseMult sets dst to the product scalar * base where base is the
+// standard generator.
//
-// 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)
+// It is recommended to use the X25519 function with Basepoint instead, as
+// copying into fixed size arrays can lead to unexpected bugs.
+func ScalarBaseMult(dst, scalar *[32]byte) {
+ ScalarMult(dst, scalar, &basePoint)
}
-// 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
+const (
+ // ScalarSize is the size of the scalar input to X25519.
+ ScalarSize = 32
+ // PointSize is the size of the point input to X25519.
+ PointSize = 32
+)
- 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
+// Basepoint is the canonical Curve25519 generator.
+var Basepoint []byte
- carry[9] = (h9 + (1 << 24)) >> 25
- h0 += carry[9] * 19
- h9 -= carry[9] << 25
+var basePoint = [32]byte{9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
- carry[0] = (h0 + (1 << 25)) >> 26
- h1 += carry[0]
- h0 -= carry[0] << 26
+func init() { Basepoint = basePoint[:] }
- 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)
+func checkBasepoint() {
+ if subtle.ConstantTimeCompare(Basepoint, []byte{
+ 0x09, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ }) != 1 {
+ panic("curve25519: global Basepoint value was modified")
+ }
}
-// feMul121666 calculates h = f * 121666. Can overlap h with f.
+// X25519 returns the result of the scalar multiplication (scalar * point),
+// according to RFC 7748, Section 5. scalar, point and the return value are
+// slices of 32 bytes.
//
-// Preconditions:
-// |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
+// scalar can be generated at random, for example with crypto/rand. point should
+// be either Basepoint or the output of another X25519 call.
//
-// 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)
+// If point is Basepoint (but not if it's a different slice with the same
+// contents) a precomputed implementation might be used for performance.
+func X25519(scalar, point []byte) ([]byte, error) {
+ // Outline the body of function, to let the allocation be inlined in the
+ // caller, and possibly avoid escaping to the heap.
+ var dst [32]byte
+ return x25519(&dst, scalar, point)
}
-func scalarMult(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)
+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)
+ }
+ if l := len(point); l != 32 {
+ return nil, fmt.Errorf("bad point length: %d, expected %d", l, 32)
+ }
+ copy(in[:], scalar)
+ if &point[0] == &Basepoint[0] {
+ checkBasepoint()
+ ScalarBaseMult(dst, &in)
+ } else {
+ var base, zero [32]byte
+ copy(base[:], point)
+ ScalarMult(dst, &in, &base)
+ if subtle.ConstantTimeCompare(dst[:], zero[:]) == 1 {
+ return nil, fmt.Errorf("bad input point: low order point")
+ }
+ }
+ return dst[:], nil
}
diff --git a/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go b/vendor/golang.org/x/crypto/curve25519/curve25519_amd64.go
index 5822bd53..5120b779 100644
--- a/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go
+++ b/vendor/golang.org/x/crypto/curve25519/curve25519_amd64.go
@@ -2,7 +2,7 @@
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
-// +build amd64,!gccgo,!appengine
+// +build amd64,!gccgo,!appengine,!purego
package curve25519
diff --git a/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s b/vendor/golang.org/x/crypto/curve25519/curve25519_amd64.s
index e0ac30c7..0250c888 100644
--- a/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s
+++ b/vendor/golang.org/x/crypto/curve25519/curve25519_amd64.s
@@ -5,9 +5,84 @@
// This code was translated into a form compatible with 6a from the public
// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-// +build amd64,!gccgo,!appengine
+// +build amd64,!gccgo,!appengine,!purego
-#include "const_amd64.h"
+#define REDMASK51 0x0007FFFFFFFFFFFF
+
+// These constants cannot be encoded in non-MOVQ immediates.
+// We access them directly from memory instead.
+
+DATA ·_121666_213(SB)/8, $996687872
+GLOBL ·_121666_213(SB), 8, $8
+
+DATA ·_2P0(SB)/8, $0xFFFFFFFFFFFDA
+GLOBL ·_2P0(SB), 8, $8
+
+DATA ·_2P1234(SB)/8, $0xFFFFFFFFFFFFE
+GLOBL ·_2P1234(SB), 8, $8
+
+// func freeze(inout *[5]uint64)
+TEXT ·freeze(SB),7,$0-8
+ MOVQ inout+0(FP), DI
+
+ MOVQ 0(DI),SI
+ MOVQ 8(DI),DX
+ MOVQ 16(DI),CX
+ MOVQ 24(DI),R8
+ MOVQ 32(DI),R9
+ MOVQ $REDMASK51,AX
+ MOVQ AX,R10
+ SUBQ $18,R10
+ MOVQ $3,R11
+REDUCELOOP:
+ MOVQ SI,R12
+ SHRQ $51,R12
+ ANDQ AX,SI
+ ADDQ R12,DX
+ MOVQ DX,R12
+ SHRQ $51,R12
+ ANDQ AX,DX
+ ADDQ R12,CX
+ MOVQ CX,R12
+ SHRQ $51,R12
+ ANDQ AX,CX
+ ADDQ R12,R8
+ MOVQ R8,R12
+ SHRQ $51,R12
+ ANDQ AX,R8
+ ADDQ R12,R9
+ MOVQ R9,R12
+ SHRQ $51,R12
+ ANDQ AX,R9
+ IMUL3Q $19,R12,R12
+ ADDQ R12,SI
+ SUBQ $1,R11
+ JA REDUCELOOP
+ MOVQ $1,R12
+ CMPQ R10,SI
+ CMOVQLT R11,R12
+ CMPQ AX,DX
+ CMOVQNE R11,R12
+ CMPQ AX,CX
+ CMOVQNE R11,R12
+ CMPQ AX,R8
+ CMOVQNE R11,R12
+ CMPQ AX,R9
+ CMOVQNE R11,R12
+ NEGQ R12
+ ANDQ R12,AX
+ ANDQ R12,R10
+ SUBQ R10,SI
+ SUBQ AX,DX
+ SUBQ AX,CX
+ SUBQ AX,R8
+ SUBQ AX,R9
+ MOVQ SI,0(DI)
+ MOVQ DX,8(DI)
+ MOVQ CX,16(DI)
+ MOVQ R8,24(DI)
+ MOVQ R9,32(DI)
+ RET
// func ladderstep(inout *[5][5]uint64)
TEXT ·ladderstep(SB),0,$296-8
@@ -1375,3 +1450,344 @@ TEXT ·ladderstep(SB),0,$296-8
MOVQ AX,104(DI)
MOVQ R10,112(DI)
RET
+
+// func cswap(inout *[4][5]uint64, v uint64)
+TEXT ·cswap(SB),7,$0
+ MOVQ inout+0(FP),DI
+ MOVQ v+8(FP),SI
+
+ SUBQ $1, SI
+ NOTQ SI
+ MOVQ SI, X15
+ PSHUFD $0x44, X15, X15
+
+ MOVOU 0(DI), X0
+ MOVOU 16(DI), X2
+ MOVOU 32(DI), X4
+ MOVOU 48(DI), X6
+ MOVOU 64(DI), X8
+ MOVOU 80(DI), X1
+ MOVOU 96(DI), X3
+ MOVOU 112(DI), X5
+ MOVOU 128(DI), X7
+ MOVOU 144(DI), X9
+
+ MOVO X1, X10
+ MOVO X3, X11
+ MOVO X5, X12
+ MOVO X7, X13
+ MOVO X9, X14
+
+ PXOR X0, X10
+ PXOR X2, X11
+ PXOR X4, X12
+ PXOR X6, X13
+ PXOR X8, X14
+ PAND X15, X10
+ PAND X15, X11
+ PAND X15, X12
+ PAND X15, X13
+ PAND X15, X14
+ PXOR X10, X0
+ PXOR X10, X1
+ PXOR X11, X2
+ PXOR X11, X3
+ PXOR X12, X4
+ PXOR X12, X5
+ PXOR X13, X6
+ PXOR X13, X7
+ PXOR X14, X8
+ PXOR X14, X9
+
+ MOVOU X0, 0(DI)
+ MOVOU X2, 16(DI)
+ MOVOU X4, 32(DI)
+ MOVOU X6, 48(DI)
+ MOVOU X8, 64(DI)
+ MOVOU X1, 80(DI)
+ MOVOU X3, 96(DI)
+ MOVOU X5, 112(DI)
+ MOVOU X7, 128(DI)
+ MOVOU X9, 144(DI)
+ RET
+
+// func mul(dest, a, b *[5]uint64)
+TEXT ·mul(SB),0,$16-24
+ MOVQ dest+0(FP), DI
+ MOVQ a+8(FP), SI
+ MOVQ b+16(FP), DX
+
+ MOVQ DX,CX
+ MOVQ 24(SI),DX
+ IMUL3Q $19,DX,AX
+ MOVQ AX,0(SP)
+ MULQ 16(CX)
+ MOVQ AX,R8
+ MOVQ DX,R9
+ MOVQ 32(SI),DX
+ IMUL3Q $19,DX,AX
+ MOVQ AX,8(SP)
+ MULQ 8(CX)
+ ADDQ AX,R8
+ ADCQ DX,R9
+ MOVQ 0(SI),AX
+ MULQ 0(CX)
+ ADDQ AX,R8
+ ADCQ DX,R9
+ MOVQ 0(SI),AX
+ MULQ 8(CX)
+ MOVQ AX,R10
+ MOVQ DX,R11
+ MOVQ 0(SI),AX
+ MULQ 16(CX)
+ MOVQ AX,R12
+ MOVQ DX,R13
+ MOVQ 0(SI),AX
+ MULQ 24(CX)
+ MOVQ AX,R14
+ MOVQ DX,R15
+ MOVQ 0(SI),AX
+ MULQ 32(CX)
+ MOVQ AX,BX
+ MOVQ DX,BP
+ MOVQ 8(SI),AX
+ MULQ 0(CX)
+ ADDQ AX,R10
+ ADCQ DX,R11
+ MOVQ 8(SI),AX
+ MULQ 8(CX)
+ ADDQ AX,R12
+ ADCQ DX,R13
+ MOVQ 8(SI),AX
+ MULQ 16(CX)
+ ADDQ AX,R14
+ ADCQ DX,R15
+ MOVQ 8(SI),AX
+ MULQ 24(CX)
+ ADDQ AX,BX
+ ADCQ DX,BP
+ MOVQ 8(SI),DX
+ IMUL3Q $19,DX,AX
+ MULQ 32(CX)
+ ADDQ AX,R8
+ ADCQ DX,R9
+ MOVQ 16(SI),AX
+ MULQ 0(CX)
+ ADDQ AX,R12
+ ADCQ DX,R13
+ MOVQ 16(SI),AX
+ MULQ 8(CX)
+ ADDQ AX,R14
+ ADCQ DX,R15
+ MOVQ 16(SI),AX
+ MULQ 16(CX)
+ ADDQ AX,BX
+ ADCQ DX,BP
+ MOVQ 16(SI),DX
+ IMUL3Q $19,DX,AX
+ MULQ 24(CX)
+ ADDQ AX,R8
+ ADCQ DX,R9
+ MOVQ 16(SI),DX
+ IMUL3Q $19,DX,AX
+ MULQ 32(CX)
+ ADDQ AX,R10
+ ADCQ DX,R11
+ MOVQ 24(SI),AX
+ MULQ 0(CX)
+ ADDQ AX,R14
+ ADCQ DX,R15
+ MOVQ 24(SI),AX
+ MULQ 8(CX)
+ ADDQ AX,BX
+ ADCQ DX,BP
+ MOVQ 0(SP),AX
+ MULQ 24(CX)
+ ADDQ AX,R10
+ ADCQ DX,R11
+ MOVQ 0(SP),AX
+ MULQ 32(CX)
+ ADDQ AX,R12
+ ADCQ DX,R13
+ MOVQ 32(SI),AX
+ MULQ 0(CX)
+ ADDQ AX,BX
+ ADCQ DX,BP
+ MOVQ 8(SP),AX
+ MULQ 16(CX)
+ ADDQ AX,R10
+ ADCQ DX,R11
+ MOVQ 8(SP),AX
+ MULQ 24(CX)
+ ADDQ AX,R12
+ ADCQ DX,R13
+ MOVQ 8(SP),AX
+ MULQ 32(CX)
+ ADDQ AX,R14
+ ADCQ DX,R15
+ MOVQ $REDMASK51,SI
+ SHLQ $13,R8,R9
+ ANDQ SI,R8
+ SHLQ $13,R10,R11
+ ANDQ SI,R10
+ ADDQ R9,R10
+ SHLQ $13,R12,R13
+ ANDQ SI,R12
+ ADDQ R11,R12
+ SHLQ $13,R14,R15
+ ANDQ SI,R14
+ ADDQ R13,R14
+ SHLQ $13,BX,BP
+ ANDQ SI,BX
+ ADDQ R15,BX
+ IMUL3Q $19,BP,DX
+ ADDQ DX,R8
+ MOVQ R8,DX
+ SHRQ $51,DX
+ ADDQ R10,DX
+ MOVQ DX,CX
+ SHRQ $51,DX
+ ANDQ SI,R8
+ ADDQ R12,DX
+ MOVQ DX,R9
+ SHRQ $51,DX
+ ANDQ SI,CX
+ ADDQ R14,DX
+ MOVQ DX,AX
+ SHRQ $51,DX
+ ANDQ SI,R9
+ ADDQ BX,DX
+ MOVQ DX,R10
+ SHRQ $51,DX
+ ANDQ SI,AX
+ IMUL3Q $19,DX,DX
+ ADDQ DX,R8
+ ANDQ SI,R10
+ MOVQ R8,0(DI)
+ MOVQ CX,8(DI)
+ MOVQ R9,16(DI)
+ MOVQ AX,24(DI)
+ MOVQ R10,32(DI)
+ RET
+
+// func square(out, in *[5]uint64)
+TEXT ·square(SB),7,$0-16
+ MOVQ out+0(FP), DI
+ MOVQ in+8(FP), SI
+
+ MOVQ 0(SI),AX
+ MULQ 0(SI)
+ MOVQ AX,CX
+ MOVQ DX,R8
+ MOVQ 0(SI),AX
+ SHLQ $1,AX
+ MULQ 8(SI)
+ MOVQ AX,R9
+ MOVQ DX,R10
+ MOVQ 0(SI),AX
+ SHLQ $1,AX
+ MULQ 16(SI)
+ MOVQ AX,R11
+ MOVQ DX,R12
+ MOVQ 0(SI),AX
+ SHLQ $1,AX
+ MULQ 24(SI)
+ MOVQ AX,R13
+ MOVQ DX,R14
+ MOVQ 0(SI),AX
+ SHLQ $1,AX
+ MULQ 32(SI)
+ MOVQ AX,R15
+ MOVQ DX,BX
+ MOVQ 8(SI),AX
+ MULQ 8(SI)
+ ADDQ AX,R11
+ ADCQ DX,R12
+ MOVQ 8(SI),AX
+ SHLQ $1,AX
+ MULQ 16(SI)
+ ADDQ AX,R13
+ ADCQ DX,R14
+ MOVQ 8(SI),AX
+ SHLQ $1,AX
+ MULQ 24(SI)
+ ADDQ AX,R15
+ ADCQ DX,BX
+ MOVQ 8(SI),DX
+ IMUL3Q $38,DX,AX
+ MULQ 32(SI)
+ ADDQ AX,CX
+ ADCQ DX,R8
+ MOVQ 16(SI),AX
+ MULQ 16(SI)
+ ADDQ AX,R15
+ ADCQ DX,BX
+ MOVQ 16(SI),DX
+ IMUL3Q $38,DX,AX
+ MULQ 24(SI)
+ ADDQ AX,CX
+ ADCQ DX,R8
+ MOVQ 16(SI),DX
+ IMUL3Q $38,DX,AX
+ MULQ 32(SI)
+ ADDQ AX,R9
+ ADCQ DX,R10
+ MOVQ 24(SI),DX
+ IMUL3Q $19,DX,AX
+ MULQ 24(SI)
+ ADDQ AX,R9
+ ADCQ DX,R10
+ MOVQ 24(SI),DX
+ IMUL3Q $38,DX,AX
+ MULQ 32(SI)
+ ADDQ AX,R11
+ ADCQ DX,R12
+ MOVQ 32(SI),DX
+ IMUL3Q $19,DX,AX
+ MULQ 32(SI)
+ ADDQ AX,R13
+ ADCQ DX,R14
+ MOVQ $REDMASK51,SI
+ SHLQ $13,CX,R8
+ ANDQ SI,CX
+ SHLQ $13,R9,R10
+ ANDQ SI,R9
+ ADDQ R8,R9
+ SHLQ $13,R11,R12
+ ANDQ SI,R11
+ ADDQ R10,R11
+ SHLQ $13,R13,R14
+ ANDQ SI,R13
+ ADDQ R12,R13
+ SHLQ $13,R15,BX
+ ANDQ SI,R15
+ ADDQ R14,R15
+ IMUL3Q $19,BX,DX
+ ADDQ DX,CX
+ MOVQ CX,DX
+ SHRQ $51,DX
+ ADDQ R9,DX
+ ANDQ SI,CX
+ MOVQ DX,R8
+ SHRQ $51,DX
+ ADDQ R11,DX
+ ANDQ SI,R8
+ MOVQ DX,R9
+ SHRQ $51,DX
+ ADDQ R13,DX
+ ANDQ SI,R9
+ MOVQ DX,AX
+ SHRQ $51,DX
+ ADDQ R15,DX
+ ANDQ SI,AX
+ MOVQ DX,R10
+ SHRQ $51,DX
+ IMUL3Q $19,DX,DX
+ ADDQ DX,CX
+ ANDQ SI,R10
+ MOVQ CX,0(DI)
+ MOVQ R8,8(DI)
+ MOVQ R9,16(DI)
+ MOVQ AX,24(DI)
+ MOVQ R10,32(DI)
+ RET
diff --git a/vendor/golang.org/x/crypto/curve25519/curve25519_generic.go b/vendor/golang.org/x/crypto/curve25519/curve25519_generic.go
new file mode 100644
index 00000000..c43b13fc
--- /dev/null
+++ b/vendor/golang.org/x/crypto/curve25519/curve25519_generic.go
@@ -0,0 +1,828 @@
+// 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)
+}
diff --git a/vendor/golang.org/x/crypto/curve25519/curve25519_noasm.go b/vendor/golang.org/x/crypto/curve25519/curve25519_noasm.go
new file mode 100644
index 00000000..047d49af
--- /dev/null
+++ b/vendor/golang.org/x/crypto/curve25519/curve25519_noasm.go
@@ -0,0 +1,11 @@
+// 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)
+}
diff --git a/vendor/golang.org/x/crypto/curve25519/doc.go b/vendor/golang.org/x/crypto/curve25519/doc.go
deleted file mode 100644
index da9b10d9..00000000
--- a/vendor/golang.org/x/crypto/curve25519/doc.go
+++ /dev/null
@@ -1,23 +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.
-
-// Package curve25519 provides an implementation of scalar multiplication on
-// the elliptic curve known as curve25519. See https://cr.yp.to/ecdh.html
-package curve25519 // import "golang.org/x/crypto/curve25519"
-
-// basePoint is the x coordinate of the generator of the curve.
-var basePoint = [32]byte{9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
-
-// ScalarMult sets dst to the product in*base where dst and base are the x
-// coordinates of group points and all values are in little-endian form.
-func ScalarMult(dst, in, base *[32]byte) {
- scalarMult(dst, in, base)
-}
-
-// ScalarBaseMult sets dst to the product in*base where dst and base are the x
-// coordinates of group points, base is the standard generator and all values
-// are in little-endian form.
-func ScalarBaseMult(dst, in *[32]byte) {
- ScalarMult(dst, in, &basePoint)
-}
diff --git a/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s b/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s
deleted file mode 100644
index 39081610..00000000
--- a/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s
+++ /dev/null
@@ -1,73 +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.
-
-// This code was translated into a form compatible with 6a from the public
-// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-
-// +build amd64,!gccgo,!appengine
-
-#include "const_amd64.h"
-
-// func freeze(inout *[5]uint64)
-TEXT ·freeze(SB),7,$0-8
- MOVQ inout+0(FP), DI
-
- MOVQ 0(DI),SI
- MOVQ 8(DI),DX
- MOVQ 16(DI),CX
- MOVQ 24(DI),R8
- MOVQ 32(DI),R9
- MOVQ $REDMASK51,AX
- MOVQ AX,R10
- SUBQ $18,R10
- MOVQ $3,R11
-REDUCELOOP:
- MOVQ SI,R12
- SHRQ $51,R12
- ANDQ AX,SI
- ADDQ R12,DX
- MOVQ DX,R12
- SHRQ $51,R12
- ANDQ AX,DX
- ADDQ R12,CX
- MOVQ CX,R12
- SHRQ $51,R12
- ANDQ AX,CX
- ADDQ R12,R8
- MOVQ R8,R12
- SHRQ $51,R12
- ANDQ AX,R8
- ADDQ R12,R9
- MOVQ R9,R12
- SHRQ $51,R12
- ANDQ AX,R9
- IMUL3Q $19,R12,R12
- ADDQ R12,SI
- SUBQ $1,R11
- JA REDUCELOOP
- MOVQ $1,R12
- CMPQ R10,SI
- CMOVQLT R11,R12
- CMPQ AX,DX
- CMOVQNE R11,R12
- CMPQ AX,CX
- CMOVQNE R11,R12
- CMPQ AX,R8
- CMOVQNE R11,R12
- CMPQ AX,R9
- CMOVQNE R11,R12
- NEGQ R12
- ANDQ R12,AX
- ANDQ R12,R10
- SUBQ R10,SI
- SUBQ AX,DX
- SUBQ AX,CX
- SUBQ AX,R8
- SUBQ AX,R9
- MOVQ SI,0(DI)
- MOVQ DX,8(DI)
- MOVQ CX,16(DI)
- MOVQ R8,24(DI)
- MOVQ R9,32(DI)
- RET
diff --git a/vendor/golang.org/x/crypto/curve25519/mul_amd64.s b/vendor/golang.org/x/crypto/curve25519/mul_amd64.s
deleted file mode 100644
index 1f76d1a3..00000000
--- a/vendor/golang.org/x/crypto/curve25519/mul_amd64.s
+++ /dev/null
@@ -1,169 +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.
-
-// This code was translated into a form compatible with 6a from the public
-// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-
-// +build amd64,!gccgo,!appengine
-
-#include "const_amd64.h"
-
-// func mul(dest, a, b *[5]uint64)
-TEXT ·mul(SB),0,$16-24
- MOVQ dest+0(FP), DI
- MOVQ a+8(FP), SI
- MOVQ b+16(FP), DX
-
- MOVQ DX,CX
- MOVQ 24(SI),DX
- IMUL3Q $19,DX,AX
- MOVQ AX,0(SP)
- MULQ 16(CX)
- MOVQ AX,R8
- MOVQ DX,R9
- MOVQ 32(SI),DX
- IMUL3Q $19,DX,AX
- MOVQ AX,8(SP)
- MULQ 8(CX)
- ADDQ AX,R8
- ADCQ DX,R9
- MOVQ 0(SI),AX
- MULQ 0(CX)
- ADDQ AX,R8
- ADCQ DX,R9
- MOVQ 0(SI),AX
- MULQ 8(CX)
- MOVQ AX,R10
- MOVQ DX,R11
- MOVQ 0(SI),AX
- MULQ 16(CX)
- MOVQ AX,R12
- MOVQ DX,R13
- MOVQ 0(SI),AX
- MULQ 24(CX)
- MOVQ AX,R14
- MOVQ DX,R15
- MOVQ 0(SI),AX
- MULQ 32(CX)
- MOVQ AX,BX
- MOVQ DX,BP
- MOVQ 8(SI),AX
- MULQ 0(CX)
- ADDQ AX,R10
- ADCQ DX,R11
- MOVQ 8(SI),AX
- MULQ 8(CX)
- ADDQ AX,R12
- ADCQ DX,R13
- MOVQ 8(SI),AX
- MULQ 16(CX)
- ADDQ AX,R14
- ADCQ DX,R15
- MOVQ 8(SI),AX
- MULQ 24(CX)
- ADDQ AX,BX
- ADCQ DX,BP
- MOVQ 8(SI),DX
- IMUL3Q $19,DX,AX
- MULQ 32(CX)
- ADDQ AX,R8
- ADCQ DX,R9
- MOVQ 16(SI),AX
- MULQ 0(CX)
- ADDQ AX,R12
- ADCQ DX,R13
- MOVQ 16(SI),AX
- MULQ 8(CX)
- ADDQ AX,R14
- ADCQ DX,R15
- MOVQ 16(SI),AX
- MULQ 16(CX)
- ADDQ AX,BX
- ADCQ DX,BP
- MOVQ 16(SI),DX
- IMUL3Q $19,DX,AX
- MULQ 24(CX)
- ADDQ AX,R8
- ADCQ DX,R9
- MOVQ 16(SI),DX
- IMUL3Q $19,DX,AX
- MULQ 32(CX)
- ADDQ AX,R10
- ADCQ DX,R11
- MOVQ 24(SI),AX
- MULQ 0(CX)
- ADDQ AX,R14
- ADCQ DX,R15
- MOVQ 24(SI),AX
- MULQ 8(CX)
- ADDQ AX,BX
- ADCQ DX,BP
- MOVQ 0(SP),AX
- MULQ 24(CX)
- ADDQ AX,R10
- ADCQ DX,R11
- MOVQ 0(SP),AX
- MULQ 32(CX)
- ADDQ AX,R12
- ADCQ DX,R13
- MOVQ 32(SI),AX
- MULQ 0(CX)
- ADDQ AX,BX
- ADCQ DX,BP
- MOVQ 8(SP),AX
- MULQ 16(CX)
- ADDQ AX,R10
- ADCQ DX,R11
- MOVQ 8(SP),AX
- MULQ 24(CX)
- ADDQ AX,R12
- ADCQ DX,R13
- MOVQ 8(SP),AX
- MULQ 32(CX)
- ADDQ AX,R14
- ADCQ DX,R15
- MOVQ $REDMASK51,SI
- SHLQ $13,R8,R9
- ANDQ SI,R8
- SHLQ $13,R10,R11
- ANDQ SI,R10
- ADDQ R9,R10
- SHLQ $13,R12,R13
- ANDQ SI,R12
- ADDQ R11,R12
- SHLQ $13,R14,R15
- ANDQ SI,R14
- ADDQ R13,R14
- SHLQ $13,BX,BP
- ANDQ SI,BX
- ADDQ R15,BX
- IMUL3Q $19,BP,DX
- ADDQ DX,R8
- MOVQ R8,DX
- SHRQ $51,DX
- ADDQ R10,DX
- MOVQ DX,CX
- SHRQ $51,DX
- ANDQ SI,R8
- ADDQ R12,DX
- MOVQ DX,R9
- SHRQ $51,DX
- ANDQ SI,CX
- ADDQ R14,DX
- MOVQ DX,AX
- SHRQ $51,DX
- ANDQ SI,R9
- ADDQ BX,DX
- MOVQ DX,R10
- SHRQ $51,DX
- ANDQ SI,AX
- IMUL3Q $19,DX,DX
- ADDQ DX,R8
- ANDQ SI,R10
- MOVQ R8,0(DI)
- MOVQ CX,8(DI)
- MOVQ R9,16(DI)
- MOVQ AX,24(DI)
- MOVQ R10,32(DI)
- RET
diff --git a/vendor/golang.org/x/crypto/curve25519/square_amd64.s b/vendor/golang.org/x/crypto/curve25519/square_amd64.s
deleted file mode 100644
index 07511a45..00000000
--- a/vendor/golang.org/x/crypto/curve25519/square_amd64.s
+++ /dev/null
@@ -1,132 +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.
-
-// This code was translated into a form compatible with 6a from the public
-// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html
-
-// +build amd64,!gccgo,!appengine
-
-#include "const_amd64.h"
-
-// func square(out, in *[5]uint64)
-TEXT ·square(SB),7,$0-16
- MOVQ out+0(FP), DI
- MOVQ in+8(FP), SI
-
- MOVQ 0(SI),AX
- MULQ 0(SI)
- MOVQ AX,CX
- MOVQ DX,R8
- MOVQ 0(SI),AX
- SHLQ $1,AX
- MULQ 8(SI)
- MOVQ AX,R9
- MOVQ DX,R10
- MOVQ 0(SI),AX
- SHLQ $1,AX
- MULQ 16(SI)
- MOVQ AX,R11
- MOVQ DX,R12
- MOVQ 0(SI),AX
- SHLQ $1,AX
- MULQ 24(SI)
- MOVQ AX,R13
- MOVQ DX,R14
- MOVQ 0(SI),AX
- SHLQ $1,AX
- MULQ 32(SI)
- MOVQ AX,R15
- MOVQ DX,BX
- MOVQ 8(SI),AX
- MULQ 8(SI)
- ADDQ AX,R11
- ADCQ DX,R12
- MOVQ 8(SI),AX
- SHLQ $1,AX
- MULQ 16(SI)
- ADDQ AX,R13
- ADCQ DX,R14
- MOVQ 8(SI),AX
- SHLQ $1,AX
- MULQ 24(SI)
- ADDQ AX,R15
- ADCQ DX,BX
- MOVQ 8(SI),DX
- IMUL3Q $38,DX,AX
- MULQ 32(SI)
- ADDQ AX,CX
- ADCQ DX,R8
- MOVQ 16(SI),AX
- MULQ 16(SI)
- ADDQ AX,R15
- ADCQ DX,BX
- MOVQ 16(SI),DX
- IMUL3Q $38,DX,AX
- MULQ 24(SI)
- ADDQ AX,CX
- ADCQ DX,R8
- MOVQ 16(SI),DX
- IMUL3Q $38,DX,AX
- MULQ 32(SI)
- ADDQ AX,R9
- ADCQ DX,R10
- MOVQ 24(SI),DX
- IMUL3Q $19,DX,AX
- MULQ 24(SI)
- ADDQ AX,R9
- ADCQ DX,R10
- MOVQ 24(SI),DX
- IMUL3Q $38,DX,AX
- MULQ 32(SI)
- ADDQ AX,R11
- ADCQ DX,R12
- MOVQ 32(SI),DX
- IMUL3Q $19,DX,AX
- MULQ 32(SI)
- ADDQ AX,R13
- ADCQ DX,R14
- MOVQ $REDMASK51,SI
- SHLQ $13,CX,R8
- ANDQ SI,CX
- SHLQ $13,R9,R10
- ANDQ SI,R9
- ADDQ R8,R9
- SHLQ $13,R11,R12
- ANDQ SI,R11
- ADDQ R10,R11
- SHLQ $13,R13,R14
- ANDQ SI,R13
- ADDQ R12,R13
- SHLQ $13,R15,BX
- ANDQ SI,R15
- ADDQ R14,R15
- IMUL3Q $19,BX,DX
- ADDQ DX,CX
- MOVQ CX,DX
- SHRQ $51,DX
- ADDQ R9,DX
- ANDQ SI,CX
- MOVQ DX,R8
- SHRQ $51,DX
- ADDQ R11,DX
- ANDQ SI,R8
- MOVQ DX,R9
- SHRQ $51,DX
- ADDQ R13,DX
- ANDQ SI,R9
- MOVQ DX,AX
- SHRQ $51,DX
- ADDQ R15,DX
- ANDQ SI,AX
- MOVQ DX,R10
- SHRQ $51,DX
- IMUL3Q $19,DX,DX
- ADDQ DX,CX
- ANDQ SI,R10
- MOVQ CX,0(DI)
- MOVQ R8,8(DI)
- MOVQ R9,16(DI)
- MOVQ AX,24(DI)
- MOVQ R10,32(DI)
- RET