diff --git a/vendor/golang.org/x/crypto/curve25519/curve25519.go b/vendor/golang.org/x/crypto/curve25519/curve25519.go deleted file mode 100644 index 6918c47fc..000000000 --- a/vendor/golang.org/x/crypto/curve25519/curve25519.go +++ /dev/null @@ -1,841 +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. - -// We have a 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 - -// 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) { - var x fieldElement - b = -b - for i := range x { - x[i] = b & (f[i] ^ g[i]) - } - - for i := range f { - f[i] ^= x[i] - } - for i := range g { - g[i] ^= x[i] - } -} - -// 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 { - var r int64 - r = int64(in[0]) - r |= int64(in[1]) << 8 - r |= int64(in[2]) << 16 - r |= int64(in[3]) << 24 - return r -} - -func feFromBytes(dst *fieldElement, src *[32]byte) { - h0 := load4(src[:]) - h1 := load3(src[4:]) << 6 - h2 := load3(src[7:]) << 5 - h3 := load3(src[10:]) << 3 - h4 := load3(src[13:]) << 2 - h5 := load4(src[16:]) - h6 := load3(src[20:]) << 7 - h7 := load3(src[23:]) << 5 - h8 := load3(src[26:]) << 4 - h9 := load3(src[29:]) << 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> 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 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) -} diff --git a/vendor/golang.org/x/crypto/curve25519/doc.go b/vendor/golang.org/x/crypto/curve25519/doc.go index f7db9c1ce..ebeea3c2d 100644 --- a/vendor/golang.org/x/crypto/curve25519/doc.go +++ b/vendor/golang.org/x/crypto/curve25519/doc.go @@ -4,7 +4,7 @@ // Package curve25519 provides an implementation of scalar multiplication on // the elliptic curve known as curve25519. See http://cr.yp.to/ecdh.html -package curve25519 +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} diff --git a/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s b/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s index 37599fac0..932800b8d 100644 --- a/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s +++ b/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s @@ -8,22 +8,9 @@ // +build amd64,!gccgo,!appengine // func freeze(inout *[5]uint64) -TEXT ·freeze(SB),7,$96-8 +TEXT ·freeze(SB),7,$0-8 MOVQ inout+0(FP), DI - MOVQ SP,R11 - MOVQ $31,CX - NOTQ CX - ANDQ CX,SP - ADDQ $32,SP - - MOVQ R11,0(SP) - MOVQ R12,8(SP) - MOVQ R13,16(SP) - MOVQ R14,24(SP) - MOVQ R15,32(SP) - MOVQ BX,40(SP) - MOVQ BP,48(SP) MOVQ 0(DI),SI MOVQ 8(DI),DX MOVQ 16(DI),CX @@ -81,14 +68,4 @@ REDUCELOOP: MOVQ CX,16(DI) MOVQ R8,24(DI) MOVQ R9,32(DI) - MOVQ 0(SP),R11 - MOVQ 8(SP),R12 - MOVQ 16(SP),R13 - MOVQ 24(SP),R14 - MOVQ 32(SP),R15 - MOVQ 40(SP),BX - MOVQ 48(SP),BP - MOVQ R11,SP - MOVQ DI,AX - MOVQ SI,DX RET diff --git a/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s b/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s index 3949f9cfa..ee7b36c36 100644 --- a/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s +++ b/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s @@ -8,22 +8,9 @@ // +build amd64,!gccgo,!appengine // func ladderstep(inout *[5][5]uint64) -TEXT ·ladderstep(SB),0,$384-8 +TEXT ·ladderstep(SB),0,$296-8 MOVQ inout+0(FP),DI - MOVQ SP,R11 - MOVQ $31,CX - NOTQ CX - ANDQ CX,SP - ADDQ $32,SP - - MOVQ R11,0(SP) - MOVQ R12,8(SP) - MOVQ R13,16(SP) - MOVQ R14,24(SP) - MOVQ R15,32(SP) - MOVQ BX,40(SP) - MOVQ BP,48(SP) MOVQ 40(DI),SI MOVQ 48(DI),DX MOVQ 56(DI),CX @@ -49,201 +36,86 @@ TEXT ·ladderstep(SB),0,$384-8 SUBQ 96(DI),R11 SUBQ 104(DI),R12 SUBQ 112(DI),R13 - MOVQ SI,56(SP) - MOVQ DX,64(SP) - MOVQ CX,72(SP) - MOVQ R8,80(SP) - MOVQ R9,88(SP) - MOVQ AX,96(SP) - MOVQ R10,104(SP) - MOVQ R11,112(SP) - MOVQ R12,120(SP) - MOVQ R13,128(SP) - MOVQ 96(SP),AX - MULQ 96(SP) + MOVQ SI,0(SP) + MOVQ DX,8(SP) + MOVQ CX,16(SP) + MOVQ R8,24(SP) + MOVQ R9,32(SP) + MOVQ AX,40(SP) + MOVQ R10,48(SP) + MOVQ R11,56(SP) + MOVQ R12,64(SP) + MOVQ R13,72(SP) + MOVQ 40(SP),AX + MULQ 40(SP) MOVQ AX,SI MOVQ DX,CX - MOVQ 96(SP),AX + MOVQ 40(SP),AX SHLQ $1,AX - MULQ 104(SP) + MULQ 48(SP) MOVQ AX,R8 MOVQ DX,R9 - MOVQ 96(SP),AX + MOVQ 40(SP),AX SHLQ $1,AX - MULQ 112(SP) + MULQ 56(SP) MOVQ AX,R10 MOVQ DX,R11 - MOVQ 96(SP),AX + MOVQ 40(SP),AX SHLQ $1,AX - MULQ 120(SP) + MULQ 64(SP) MOVQ AX,R12 MOVQ DX,R13 - MOVQ 96(SP),AX + MOVQ 40(SP),AX SHLQ $1,AX - MULQ 128(SP) + MULQ 72(SP) MOVQ AX,R14 MOVQ DX,R15 - MOVQ 104(SP),AX - MULQ 104(SP) + MOVQ 48(SP),AX + MULQ 48(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 104(SP),AX + MOVQ 48(SP),AX SHLQ $1,AX - MULQ 112(SP) + MULQ 56(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 104(SP),AX + MOVQ 48(SP),AX SHLQ $1,AX - MULQ 120(SP) + MULQ 64(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 104(SP),DX + MOVQ 48(SP),DX IMUL3Q $38,DX,AX - MULQ 128(SP) + MULQ 72(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 112(SP),AX - MULQ 112(SP) - ADDQ AX,R14 - ADCQ DX,R15 - MOVQ 112(SP),DX - IMUL3Q $38,DX,AX - MULQ 120(SP) - ADDQ AX,SI - ADCQ DX,CX - MOVQ 112(SP),DX - IMUL3Q $38,DX,AX - MULQ 128(SP) - ADDQ AX,R8 - ADCQ DX,R9 - MOVQ 120(SP),DX - IMUL3Q $19,DX,AX - MULQ 120(SP) - ADDQ AX,R8 - ADCQ DX,R9 - MOVQ 120(SP),DX - IMUL3Q $38,DX,AX - MULQ 128(SP) - ADDQ AX,R10 - ADCQ DX,R11 - MOVQ 128(SP),DX - IMUL3Q $19,DX,AX - MULQ 128(SP) - ADDQ AX,R12 - ADCQ DX,R13 - MOVQ ·REDMASK51(SB),DX - SHLQ $13,CX:SI - ANDQ DX,SI - SHLQ $13,R9:R8 - ANDQ DX,R8 - ADDQ CX,R8 - SHLQ $13,R11:R10 - ANDQ DX,R10 - ADDQ R9,R10 - SHLQ $13,R13:R12 - ANDQ DX,R12 - ADDQ R11,R12 - SHLQ $13,R15:R14 - ANDQ DX,R14 - ADDQ R13,R14 - IMUL3Q $19,R15,CX - ADDQ CX,SI - MOVQ SI,CX - SHRQ $51,CX - ADDQ R8,CX - ANDQ DX,SI - MOVQ CX,R8 - SHRQ $51,CX - ADDQ R10,CX - ANDQ DX,R8 - MOVQ CX,R9 - SHRQ $51,CX - ADDQ R12,CX - ANDQ DX,R9 - MOVQ CX,AX - SHRQ $51,CX - ADDQ R14,CX - ANDQ DX,AX - MOVQ CX,R10 - SHRQ $51,CX - IMUL3Q $19,CX,CX - ADDQ CX,SI - ANDQ DX,R10 - MOVQ SI,136(SP) - MOVQ R8,144(SP) - MOVQ R9,152(SP) - MOVQ AX,160(SP) - MOVQ R10,168(SP) MOVQ 56(SP),AX MULQ 56(SP) - MOVQ AX,SI - MOVQ DX,CX - MOVQ 56(SP),AX - SHLQ $1,AX - MULQ 64(SP) - MOVQ AX,R8 - MOVQ DX,R9 - MOVQ 56(SP),AX - SHLQ $1,AX - MULQ 72(SP) - MOVQ AX,R10 - MOVQ DX,R11 - MOVQ 56(SP),AX - SHLQ $1,AX - MULQ 80(SP) - MOVQ AX,R12 - MOVQ DX,R13 - MOVQ 56(SP),AX - SHLQ $1,AX - MULQ 88(SP) - MOVQ AX,R14 - MOVQ DX,R15 - MOVQ 64(SP),AX - MULQ 64(SP) - ADDQ AX,R10 - ADCQ DX,R11 - MOVQ 64(SP),AX - SHLQ $1,AX - MULQ 72(SP) - ADDQ AX,R12 - ADCQ DX,R13 - MOVQ 64(SP),AX - SHLQ $1,AX - MULQ 80(SP) ADDQ AX,R14 ADCQ DX,R15 + MOVQ 56(SP),DX + IMUL3Q $38,DX,AX + MULQ 64(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 56(SP),DX + IMUL3Q $38,DX,AX + MULQ 72(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 64(SP),DX + IMUL3Q $19,DX,AX + MULQ 64(SP) + ADDQ AX,R8 + ADCQ DX,R9 MOVQ 64(SP),DX IMUL3Q $38,DX,AX - MULQ 88(SP) - ADDQ AX,SI - ADCQ DX,CX - MOVQ 72(SP),AX MULQ 72(SP) - ADDQ AX,R14 - ADCQ DX,R15 - MOVQ 72(SP),DX - IMUL3Q $38,DX,AX - MULQ 80(SP) - ADDQ AX,SI - ADCQ DX,CX - MOVQ 72(SP),DX - IMUL3Q $38,DX,AX - MULQ 88(SP) - ADDQ AX,R8 - ADCQ DX,R9 - MOVQ 80(SP),DX - IMUL3Q $19,DX,AX - MULQ 80(SP) - ADDQ AX,R8 - ADCQ DX,R9 - MOVQ 80(SP),DX - IMUL3Q $38,DX,AX - MULQ 88(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 88(SP),DX + MOVQ 72(SP),DX IMUL3Q $19,DX,AX - MULQ 88(SP) + MULQ 72(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ ·REDMASK51(SB),DX @@ -284,11 +156,126 @@ TEXT ·ladderstep(SB),0,$384-8 IMUL3Q $19,CX,CX ADDQ CX,SI ANDQ DX,R10 - MOVQ SI,176(SP) - MOVQ R8,184(SP) - MOVQ R9,192(SP) - MOVQ AX,200(SP) - MOVQ R10,208(SP) + MOVQ SI,80(SP) + MOVQ R8,88(SP) + MOVQ R9,96(SP) + MOVQ AX,104(SP) + MOVQ R10,112(SP) + MOVQ 0(SP),AX + MULQ 0(SP) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 0(SP),AX + SHLQ $1,AX + MULQ 8(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 0(SP),AX + SHLQ $1,AX + MULQ 16(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 0(SP),AX + SHLQ $1,AX + MULQ 24(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 0(SP),AX + SHLQ $1,AX + MULQ 32(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 8(SP),AX + MULQ 8(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SP),AX + SHLQ $1,AX + MULQ 16(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 8(SP),AX + SHLQ $1,AX + MULQ 24(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 8(SP),DX + IMUL3Q $38,DX,AX + MULQ 32(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 16(SP),AX + MULQ 16(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 16(SP),DX + IMUL3Q $38,DX,AX + MULQ 24(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 16(SP),DX + IMUL3Q $38,DX,AX + MULQ 32(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 24(SP),DX + IMUL3Q $19,DX,AX + MULQ 24(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 24(SP),DX + IMUL3Q $38,DX,AX + MULQ 32(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 32(SP),DX + IMUL3Q $19,DX,AX + MULQ 32(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ ·REDMASK51(SB),DX + SHLQ $13,CX:SI + ANDQ DX,SI + SHLQ $13,R9:R8 + ANDQ DX,R8 + ADDQ CX,R8 + SHLQ $13,R11:R10 + ANDQ DX,R10 + ADDQ R9,R10 + SHLQ $13,R13:R12 + ANDQ DX,R12 + ADDQ R11,R12 + SHLQ $13,R15:R14 + ANDQ DX,R14 + ADDQ R13,R14 + IMUL3Q $19,R15,CX + ADDQ CX,SI + MOVQ SI,CX + SHRQ $51,CX + ADDQ R8,CX + ANDQ DX,SI + MOVQ CX,R8 + SHRQ $51,CX + ADDQ R10,CX + ANDQ DX,R8 + MOVQ CX,R9 + SHRQ $51,CX + ADDQ R12,CX + ANDQ DX,R9 + MOVQ CX,AX + SHRQ $51,CX + ADDQ R14,CX + ANDQ DX,AX + MOVQ CX,R10 + SHRQ $51,CX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + MOVQ SI,120(SP) + MOVQ R8,128(SP) + MOVQ R9,136(SP) + MOVQ AX,144(SP) + MOVQ R10,152(SP) MOVQ SI,SI MOVQ R8,DX MOVQ R9,CX @@ -299,16 +286,16 @@ TEXT ·ladderstep(SB),0,$384-8 ADDQ ·_2P1234(SB),CX ADDQ ·_2P1234(SB),R8 ADDQ ·_2P1234(SB),R9 - SUBQ 136(SP),SI - SUBQ 144(SP),DX - SUBQ 152(SP),CX - SUBQ 160(SP),R8 - SUBQ 168(SP),R9 - MOVQ SI,216(SP) - MOVQ DX,224(SP) - MOVQ CX,232(SP) - MOVQ R8,240(SP) - MOVQ R9,248(SP) + SUBQ 80(SP),SI + SUBQ 88(SP),DX + SUBQ 96(SP),CX + SUBQ 104(SP),R8 + SUBQ 112(SP),R9 + MOVQ SI,160(SP) + MOVQ DX,168(SP) + MOVQ CX,176(SP) + MOVQ R8,184(SP) + MOVQ R9,192(SP) MOVQ 120(DI),SI MOVQ 128(DI),DX MOVQ 136(DI),CX @@ -334,121 +321,121 @@ TEXT ·ladderstep(SB),0,$384-8 SUBQ 176(DI),R11 SUBQ 184(DI),R12 SUBQ 192(DI),R13 - MOVQ SI,256(SP) - MOVQ DX,264(SP) - MOVQ CX,272(SP) - MOVQ R8,280(SP) - MOVQ R9,288(SP) - MOVQ AX,296(SP) - MOVQ R10,304(SP) - MOVQ R11,312(SP) - MOVQ R12,320(SP) - MOVQ R13,328(SP) - MOVQ 280(SP),SI + MOVQ SI,200(SP) + MOVQ DX,208(SP) + MOVQ CX,216(SP) + MOVQ R8,224(SP) + MOVQ R9,232(SP) + MOVQ AX,240(SP) + MOVQ R10,248(SP) + MOVQ R11,256(SP) + MOVQ R12,264(SP) + MOVQ R13,272(SP) + MOVQ 224(SP),SI IMUL3Q $19,SI,AX - MOVQ AX,336(SP) - MULQ 112(SP) + MOVQ AX,280(SP) + MULQ 56(SP) MOVQ AX,SI MOVQ DX,CX - MOVQ 288(SP),DX + MOVQ 232(SP),DX IMUL3Q $19,DX,AX - MOVQ AX,344(SP) - MULQ 104(SP) + MOVQ AX,288(SP) + MULQ 48(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 256(SP),AX - MULQ 96(SP) + MOVQ 200(SP),AX + MULQ 40(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 256(SP),AX - MULQ 104(SP) + MOVQ 200(SP),AX + MULQ 48(SP) MOVQ AX,R8 MOVQ DX,R9 - MOVQ 256(SP),AX - MULQ 112(SP) + MOVQ 200(SP),AX + MULQ 56(SP) MOVQ AX,R10 MOVQ DX,R11 - MOVQ 256(SP),AX - MULQ 120(SP) + MOVQ 200(SP),AX + MULQ 64(SP) MOVQ AX,R12 MOVQ DX,R13 - MOVQ 256(SP),AX - MULQ 128(SP) + MOVQ 200(SP),AX + MULQ 72(SP) MOVQ AX,R14 MOVQ DX,R15 - MOVQ 264(SP),AX - MULQ 96(SP) + MOVQ 208(SP),AX + MULQ 40(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 264(SP),AX - MULQ 104(SP) + MOVQ 208(SP),AX + MULQ 48(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 264(SP),AX - MULQ 112(SP) + MOVQ 208(SP),AX + MULQ 56(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 264(SP),AX - MULQ 120(SP) + MOVQ 208(SP),AX + MULQ 64(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 264(SP),DX + MOVQ 208(SP),DX IMUL3Q $19,DX,AX - MULQ 128(SP) + MULQ 72(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 272(SP),AX - MULQ 96(SP) + MOVQ 216(SP),AX + MULQ 40(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 272(SP),AX - MULQ 104(SP) + MOVQ 216(SP),AX + MULQ 48(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 272(SP),AX - MULQ 112(SP) + MOVQ 216(SP),AX + MULQ 56(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 272(SP),DX + MOVQ 216(SP),DX IMUL3Q $19,DX,AX - MULQ 120(SP) + MULQ 64(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 272(SP),DX + MOVQ 216(SP),DX IMUL3Q $19,DX,AX - MULQ 128(SP) + MULQ 72(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 224(SP),AX + MULQ 40(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 224(SP),AX + MULQ 48(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 280(SP),AX + MULQ 64(SP) ADDQ AX,R8 ADCQ DX,R9 MOVQ 280(SP),AX - MULQ 96(SP) - ADDQ AX,R12 - ADCQ DX,R13 - MOVQ 280(SP),AX - MULQ 104(SP) + MULQ 72(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 232(SP),AX + MULQ 40(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 336(SP),AX - MULQ 120(SP) + MOVQ 288(SP),AX + MULQ 56(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 336(SP),AX - MULQ 128(SP) + MOVQ 288(SP),AX + MULQ 64(SP) ADDQ AX,R10 ADCQ DX,R11 MOVQ 288(SP),AX - MULQ 96(SP) - ADDQ AX,R14 - ADCQ DX,R15 - MOVQ 344(SP),AX - MULQ 112(SP) - ADDQ AX,R8 - ADCQ DX,R9 - MOVQ 344(SP),AX - MULQ 120(SP) - ADDQ AX,R10 - ADCQ DX,R11 - MOVQ 344(SP),AX - MULQ 128(SP) + MULQ 72(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ ·REDMASK51(SB),DX @@ -489,116 +476,116 @@ TEXT ·ladderstep(SB),0,$384-8 IMUL3Q $19,CX,CX ADDQ CX,SI ANDQ DX,R10 - MOVQ SI,96(SP) - MOVQ R8,104(SP) - MOVQ R9,112(SP) - MOVQ AX,120(SP) - MOVQ R10,128(SP) - MOVQ 320(SP),SI + MOVQ SI,40(SP) + MOVQ R8,48(SP) + MOVQ R9,56(SP) + MOVQ AX,64(SP) + MOVQ R10,72(SP) + MOVQ 264(SP),SI IMUL3Q $19,SI,AX - MOVQ AX,256(SP) - MULQ 72(SP) + MOVQ AX,200(SP) + MULQ 16(SP) MOVQ AX,SI MOVQ DX,CX - MOVQ 328(SP),DX + MOVQ 272(SP),DX IMUL3Q $19,DX,AX - MOVQ AX,264(SP) - MULQ 64(SP) + MOVQ AX,208(SP) + MULQ 8(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 296(SP),AX - MULQ 56(SP) + MOVQ 240(SP),AX + MULQ 0(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 296(SP),AX - MULQ 64(SP) + MOVQ 240(SP),AX + MULQ 8(SP) MOVQ AX,R8 MOVQ DX,R9 - MOVQ 296(SP),AX - MULQ 72(SP) + MOVQ 240(SP),AX + MULQ 16(SP) MOVQ AX,R10 MOVQ DX,R11 - MOVQ 296(SP),AX - MULQ 80(SP) + MOVQ 240(SP),AX + MULQ 24(SP) MOVQ AX,R12 MOVQ DX,R13 - MOVQ 296(SP),AX - MULQ 88(SP) + MOVQ 240(SP),AX + MULQ 32(SP) MOVQ AX,R14 MOVQ DX,R15 - MOVQ 304(SP),AX - MULQ 56(SP) + MOVQ 248(SP),AX + MULQ 0(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 304(SP),AX - MULQ 64(SP) + MOVQ 248(SP),AX + MULQ 8(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 304(SP),AX - MULQ 72(SP) + MOVQ 248(SP),AX + MULQ 16(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 304(SP),AX - MULQ 80(SP) + MOVQ 248(SP),AX + MULQ 24(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 304(SP),DX + MOVQ 248(SP),DX IMUL3Q $19,DX,AX - MULQ 88(SP) + MULQ 32(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 312(SP),AX - MULQ 56(SP) + MOVQ 256(SP),AX + MULQ 0(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 312(SP),AX - MULQ 64(SP) + MOVQ 256(SP),AX + MULQ 8(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 312(SP),AX - MULQ 72(SP) + MOVQ 256(SP),AX + MULQ 16(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 312(SP),DX + MOVQ 256(SP),DX IMUL3Q $19,DX,AX - MULQ 80(SP) + MULQ 24(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 312(SP),DX + MOVQ 256(SP),DX IMUL3Q $19,DX,AX - MULQ 88(SP) + MULQ 32(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 320(SP),AX - MULQ 56(SP) + MOVQ 264(SP),AX + MULQ 0(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 320(SP),AX - MULQ 64(SP) + MOVQ 264(SP),AX + MULQ 8(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 256(SP),AX - MULQ 80(SP) + MOVQ 200(SP),AX + MULQ 24(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 256(SP),AX - MULQ 88(SP) + MOVQ 200(SP),AX + MULQ 32(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 328(SP),AX - MULQ 56(SP) + MOVQ 272(SP),AX + MULQ 0(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 264(SP),AX - MULQ 72(SP) + MOVQ 208(SP),AX + MULQ 16(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 264(SP),AX - MULQ 80(SP) + MOVQ 208(SP),AX + MULQ 24(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 264(SP),AX - MULQ 88(SP) + MOVQ 208(SP),AX + MULQ 32(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ ·REDMASK51(SB),DX @@ -649,16 +636,16 @@ TEXT ·ladderstep(SB),0,$384-8 ADDQ ·_2P1234(SB),R11 ADDQ ·_2P1234(SB),R12 ADDQ ·_2P1234(SB),R13 - ADDQ 96(SP),SI - ADDQ 104(SP),R8 - ADDQ 112(SP),R9 - ADDQ 120(SP),AX - ADDQ 128(SP),R10 - SUBQ 96(SP),DX - SUBQ 104(SP),CX - SUBQ 112(SP),R11 - SUBQ 120(SP),R12 - SUBQ 128(SP),R13 + ADDQ 40(SP),SI + ADDQ 48(SP),R8 + ADDQ 56(SP),R9 + ADDQ 64(SP),AX + ADDQ 72(SP),R10 + SUBQ 40(SP),DX + SUBQ 48(SP),CX + SUBQ 56(SP),R11 + SUBQ 64(SP),R12 + SUBQ 72(SP),R13 MOVQ SI,120(DI) MOVQ R8,128(DI) MOVQ R9,136(DI) @@ -901,13 +888,13 @@ TEXT ·ladderstep(SB),0,$384-8 MOVQ R10,192(DI) MOVQ 184(DI),SI IMUL3Q $19,SI,AX - MOVQ AX,56(SP) + MOVQ AX,0(SP) MULQ 16(DI) MOVQ AX,SI MOVQ DX,CX MOVQ 192(DI),DX IMUL3Q $19,DX,AX - MOVQ AX,64(SP) + MOVQ AX,8(SP) MULQ 8(DI) ADDQ AX,SI ADCQ DX,CX @@ -982,11 +969,11 @@ TEXT ·ladderstep(SB),0,$384-8 MULQ 8(DI) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 56(SP),AX + MOVQ 0(SP),AX MULQ 24(DI) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 56(SP),AX + MOVQ 0(SP),AX MULQ 32(DI) ADDQ AX,R10 ADCQ DX,R11 @@ -994,15 +981,15 @@ TEXT ·ladderstep(SB),0,$384-8 MULQ 0(DI) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 64(SP),AX + MOVQ 8(SP),AX MULQ 16(DI) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 64(SP),AX + MOVQ 8(SP),AX MULQ 24(DI) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 64(SP),AX + MOVQ 8(SP),AX MULQ 32(DI) ADDQ AX,R12 ADCQ DX,R13 @@ -1049,111 +1036,111 @@ TEXT ·ladderstep(SB),0,$384-8 MOVQ R9,176(DI) MOVQ AX,184(DI) MOVQ R10,192(DI) - MOVQ 200(SP),SI + MOVQ 144(SP),SI IMUL3Q $19,SI,AX - MOVQ AX,56(SP) - MULQ 152(SP) + MOVQ AX,0(SP) + MULQ 96(SP) MOVQ AX,SI MOVQ DX,CX - MOVQ 208(SP),DX + MOVQ 152(SP),DX IMUL3Q $19,DX,AX - MOVQ AX,64(SP) - MULQ 144(SP) + MOVQ AX,8(SP) + MULQ 88(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 176(SP),AX - MULQ 136(SP) + MOVQ 120(SP),AX + MULQ 80(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 176(SP),AX - MULQ 144(SP) + MOVQ 120(SP),AX + MULQ 88(SP) MOVQ AX,R8 MOVQ DX,R9 - MOVQ 176(SP),AX - MULQ 152(SP) + MOVQ 120(SP),AX + MULQ 96(SP) MOVQ AX,R10 MOVQ DX,R11 - MOVQ 176(SP),AX - MULQ 160(SP) + MOVQ 120(SP),AX + MULQ 104(SP) MOVQ AX,R12 MOVQ DX,R13 - MOVQ 176(SP),AX - MULQ 168(SP) + MOVQ 120(SP),AX + MULQ 112(SP) MOVQ AX,R14 MOVQ DX,R15 - MOVQ 184(SP),AX - MULQ 136(SP) + MOVQ 128(SP),AX + MULQ 80(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 184(SP),AX - MULQ 144(SP) + MOVQ 128(SP),AX + MULQ 88(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 184(SP),AX - MULQ 152(SP) + MOVQ 128(SP),AX + MULQ 96(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 184(SP),AX - MULQ 160(SP) + MOVQ 128(SP),AX + MULQ 104(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 184(SP),DX + MOVQ 128(SP),DX IMUL3Q $19,DX,AX - MULQ 168(SP) + MULQ 112(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 192(SP),AX - MULQ 136(SP) + MOVQ 136(SP),AX + MULQ 80(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 192(SP),AX - MULQ 144(SP) + MOVQ 136(SP),AX + MULQ 88(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 192(SP),AX - MULQ 152(SP) + MOVQ 136(SP),AX + MULQ 96(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 192(SP),DX + MOVQ 136(SP),DX IMUL3Q $19,DX,AX - MULQ 160(SP) + MULQ 104(SP) ADDQ AX,SI ADCQ DX,CX - MOVQ 192(SP),DX + MOVQ 136(SP),DX IMUL3Q $19,DX,AX - MULQ 168(SP) + MULQ 112(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 200(SP),AX - MULQ 136(SP) + MOVQ 144(SP),AX + MULQ 80(SP) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 200(SP),AX - MULQ 144(SP) + MOVQ 144(SP),AX + MULQ 88(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 56(SP),AX - MULQ 160(SP) + MOVQ 0(SP),AX + MULQ 104(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 56(SP),AX - MULQ 168(SP) + MOVQ 0(SP),AX + MULQ 112(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 208(SP),AX - MULQ 136(SP) + MOVQ 152(SP),AX + MULQ 80(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 64(SP),AX - MULQ 152(SP) + MOVQ 8(SP),AX + MULQ 96(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 64(SP),AX - MULQ 160(SP) + MOVQ 8(SP),AX + MULQ 104(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 64(SP),AX - MULQ 168(SP) + MOVQ 8(SP),AX + MULQ 112(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ ·REDMASK51(SB),DX @@ -1199,37 +1186,37 @@ TEXT ·ladderstep(SB),0,$384-8 MOVQ R9,56(DI) MOVQ AX,64(DI) MOVQ R10,72(DI) - MOVQ 216(SP),AX + MOVQ 160(SP),AX MULQ ·_121666_213(SB) SHRQ $13,AX MOVQ AX,SI MOVQ DX,CX - MOVQ 224(SP),AX + MOVQ 168(SP),AX MULQ ·_121666_213(SB) SHRQ $13,AX ADDQ AX,CX MOVQ DX,R8 - MOVQ 232(SP),AX + MOVQ 176(SP),AX MULQ ·_121666_213(SB) SHRQ $13,AX ADDQ AX,R8 MOVQ DX,R9 - MOVQ 240(SP),AX + MOVQ 184(SP),AX MULQ ·_121666_213(SB) SHRQ $13,AX ADDQ AX,R9 MOVQ DX,R10 - MOVQ 248(SP),AX + MOVQ 192(SP),AX MULQ ·_121666_213(SB) SHRQ $13,AX ADDQ AX,R10 IMUL3Q $19,DX,DX ADDQ DX,SI - ADDQ 136(SP),SI - ADDQ 144(SP),CX - ADDQ 152(SP),R8 - ADDQ 160(SP),R9 - ADDQ 168(SP),R10 + ADDQ 80(SP),SI + ADDQ 88(SP),CX + ADDQ 96(SP),R8 + ADDQ 104(SP),R9 + ADDQ 112(SP),R10 MOVQ SI,80(DI) MOVQ CX,88(DI) MOVQ R8,96(DI) @@ -1237,109 +1224,109 @@ TEXT ·ladderstep(SB),0,$384-8 MOVQ R10,112(DI) MOVQ 104(DI),SI IMUL3Q $19,SI,AX - MOVQ AX,56(SP) - MULQ 232(SP) + MOVQ AX,0(SP) + MULQ 176(SP) MOVQ AX,SI MOVQ DX,CX MOVQ 112(DI),DX IMUL3Q $19,DX,AX - MOVQ AX,64(SP) - MULQ 224(SP) + MOVQ AX,8(SP) + MULQ 168(SP) ADDQ AX,SI ADCQ DX,CX MOVQ 80(DI),AX - MULQ 216(SP) + MULQ 160(SP) ADDQ AX,SI ADCQ DX,CX MOVQ 80(DI),AX - MULQ 224(SP) + MULQ 168(SP) MOVQ AX,R8 MOVQ DX,R9 MOVQ 80(DI),AX - MULQ 232(SP) + MULQ 176(SP) MOVQ AX,R10 MOVQ DX,R11 MOVQ 80(DI),AX - MULQ 240(SP) + MULQ 184(SP) MOVQ AX,R12 MOVQ DX,R13 MOVQ 80(DI),AX - MULQ 248(SP) + MULQ 192(SP) MOVQ AX,R14 MOVQ DX,R15 MOVQ 88(DI),AX - MULQ 216(SP) + MULQ 160(SP) ADDQ AX,R8 ADCQ DX,R9 MOVQ 88(DI),AX - MULQ 224(SP) + MULQ 168(SP) ADDQ AX,R10 ADCQ DX,R11 MOVQ 88(DI),AX - MULQ 232(SP) + MULQ 176(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ 88(DI),AX - MULQ 240(SP) + MULQ 184(SP) ADDQ AX,R14 ADCQ DX,R15 MOVQ 88(DI),DX IMUL3Q $19,DX,AX - MULQ 248(SP) + MULQ 192(SP) ADDQ AX,SI ADCQ DX,CX MOVQ 96(DI),AX - MULQ 216(SP) + MULQ 160(SP) ADDQ AX,R10 ADCQ DX,R11 MOVQ 96(DI),AX - MULQ 224(SP) + MULQ 168(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ 96(DI),AX - MULQ 232(SP) + MULQ 176(SP) ADDQ AX,R14 ADCQ DX,R15 MOVQ 96(DI),DX IMUL3Q $19,DX,AX - MULQ 240(SP) + MULQ 184(SP) ADDQ AX,SI ADCQ DX,CX MOVQ 96(DI),DX IMUL3Q $19,DX,AX - MULQ 248(SP) + MULQ 192(SP) ADDQ AX,R8 ADCQ DX,R9 MOVQ 104(DI),AX - MULQ 216(SP) + MULQ 160(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ 104(DI),AX - MULQ 224(SP) + MULQ 168(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 56(SP),AX - MULQ 240(SP) + MOVQ 0(SP),AX + MULQ 184(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 56(SP),AX - MULQ 248(SP) + MOVQ 0(SP),AX + MULQ 192(SP) ADDQ AX,R10 ADCQ DX,R11 MOVQ 112(DI),AX - MULQ 216(SP) + MULQ 160(SP) ADDQ AX,R14 ADCQ DX,R15 - MOVQ 64(SP),AX - MULQ 232(SP) + MOVQ 8(SP),AX + MULQ 176(SP) ADDQ AX,R8 ADCQ DX,R9 - MOVQ 64(SP),AX - MULQ 240(SP) + MOVQ 8(SP),AX + MULQ 184(SP) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 64(SP),AX - MULQ 248(SP) + MOVQ 8(SP),AX + MULQ 192(SP) ADDQ AX,R12 ADCQ DX,R13 MOVQ ·REDMASK51(SB),DX @@ -1385,14 +1372,4 @@ TEXT ·ladderstep(SB),0,$384-8 MOVQ R9,96(DI) MOVQ AX,104(DI) MOVQ R10,112(DI) - MOVQ 0(SP),R11 - MOVQ 8(SP),R12 - MOVQ 16(SP),R13 - MOVQ 24(SP),R14 - MOVQ 32(SP),R15 - MOVQ 40(SP),BX - MOVQ 48(SP),BP - MOVQ R11,SP - MOVQ DI,AX - MOVQ SI,DX RET diff --git a/vendor/golang.org/x/crypto/curve25519/mul_amd64.s b/vendor/golang.org/x/crypto/curve25519/mul_amd64.s index e48d183ee..33ce57dcd 100644 --- a/vendor/golang.org/x/crypto/curve25519/mul_amd64.s +++ b/vendor/golang.org/x/crypto/curve25519/mul_amd64.s @@ -8,35 +8,21 @@ // +build amd64,!gccgo,!appengine // func mul(dest, a, b *[5]uint64) -TEXT ·mul(SB),0,$128-24 +TEXT ·mul(SB),0,$16-24 MOVQ dest+0(FP), DI MOVQ a+8(FP), SI MOVQ b+16(FP), DX - MOVQ SP,R11 - MOVQ $31,CX - NOTQ CX - ANDQ CX,SP - ADDQ $32,SP - - MOVQ R11,0(SP) - MOVQ R12,8(SP) - MOVQ R13,16(SP) - MOVQ R14,24(SP) - MOVQ R15,32(SP) - MOVQ BX,40(SP) - MOVQ BP,48(SP) - MOVQ DI,56(SP) MOVQ DX,CX MOVQ 24(SI),DX IMUL3Q $19,DX,AX - MOVQ AX,64(SP) + MOVQ AX,0(SP) MULQ 16(CX) MOVQ AX,R8 MOVQ DX,R9 MOVQ 32(SI),DX IMUL3Q $19,DX,AX - MOVQ AX,72(SP) + MOVQ AX,8(SP) MULQ 8(CX) ADDQ AX,R8 ADCQ DX,R9 @@ -111,11 +97,11 @@ TEXT ·mul(SB),0,$128-24 MULQ 8(CX) ADDQ AX,BX ADCQ DX,BP - MOVQ 64(SP),AX + MOVQ 0(SP),AX MULQ 24(CX) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 64(SP),AX + MOVQ 0(SP),AX MULQ 32(CX) ADDQ AX,R12 ADCQ DX,R13 @@ -123,15 +109,15 @@ TEXT ·mul(SB),0,$128-24 MULQ 0(CX) ADDQ AX,BX ADCQ DX,BP - MOVQ 72(SP),AX + MOVQ 8(SP),AX MULQ 16(CX) ADDQ AX,R10 ADCQ DX,R11 - MOVQ 72(SP),AX + MOVQ 8(SP),AX MULQ 24(CX) ADDQ AX,R12 ADCQ DX,R13 - MOVQ 72(SP),AX + MOVQ 8(SP),AX MULQ 32(CX) ADDQ AX,R14 ADCQ DX,R15 @@ -178,14 +164,4 @@ TEXT ·mul(SB),0,$128-24 MOVQ R9,16(DI) MOVQ AX,24(DI) MOVQ R10,32(DI) - MOVQ 0(SP),R11 - MOVQ 8(SP),R12 - MOVQ 16(SP),R13 - MOVQ 24(SP),R14 - MOVQ 32(SP),R15 - MOVQ 40(SP),BX - MOVQ 48(SP),BP - MOVQ R11,SP - MOVQ DI,AX - MOVQ SI,DX RET diff --git a/vendor/golang.org/x/crypto/curve25519/square_amd64.s b/vendor/golang.org/x/crypto/curve25519/square_amd64.s index 78d1a50dd..3a92804dd 100644 --- a/vendor/golang.org/x/crypto/curve25519/square_amd64.s +++ b/vendor/golang.org/x/crypto/curve25519/square_amd64.s @@ -8,23 +8,10 @@ // +build amd64,!gccgo,!appengine // func square(out, in *[5]uint64) -TEXT ·square(SB),7,$96-16 +TEXT ·square(SB),7,$0-16 MOVQ out+0(FP), DI MOVQ in+8(FP), SI - MOVQ SP,R11 - MOVQ $31,CX - NOTQ CX - ANDQ CX,SP - ADDQ $32, SP - - MOVQ R11,0(SP) - MOVQ R12,8(SP) - MOVQ R13,16(SP) - MOVQ R14,24(SP) - MOVQ R15,32(SP) - MOVQ BX,40(SP) - MOVQ BP,48(SP) MOVQ 0(SI),AX MULQ 0(SI) MOVQ AX,CX @@ -140,14 +127,4 @@ TEXT ·square(SB),7,$96-16 MOVQ R9,16(DI) MOVQ AX,24(DI) MOVQ R10,32(DI) - MOVQ 0(SP),R11 - MOVQ 8(SP),R12 - MOVQ 16(SP),R13 - MOVQ 24(SP),R14 - MOVQ 32(SP),R15 - MOVQ 40(SP),BX - MOVQ 48(SP),BP - MOVQ R11,SP - MOVQ DI,AX - MOVQ SI,DX RET diff --git a/vendor/golang.org/x/crypto/ed25519/ed25519.go b/vendor/golang.org/x/crypto/ed25519/ed25519.go new file mode 100644 index 000000000..f1d95674a --- /dev/null +++ b/vendor/golang.org/x/crypto/ed25519/ed25519.go @@ -0,0 +1,181 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package ed25519 implements the Ed25519 signature algorithm. See +// http://ed25519.cr.yp.to/. +// +// These functions are also compatible with the “Ed25519” function defined in +// https://tools.ietf.org/html/draft-irtf-cfrg-eddsa-05. +package ed25519 + +// This code is a port of the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +import ( + "crypto" + cryptorand "crypto/rand" + "crypto/sha512" + "crypto/subtle" + "errors" + "io" + "strconv" + + "golang.org/x/crypto/ed25519/internal/edwards25519" +) + +const ( + // PublicKeySize is the size, in bytes, of public keys as used in this package. + PublicKeySize = 32 + // PrivateKeySize is the size, in bytes, of private keys as used in this package. + PrivateKeySize = 64 + // SignatureSize is the size, in bytes, of signatures generated and verified by this package. + SignatureSize = 64 +) + +// PublicKey is the type of Ed25519 public keys. +type PublicKey []byte + +// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer. +type PrivateKey []byte + +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make([]byte, PublicKeySize) + copy(publicKey, priv[32:]) + return PublicKey(publicKey) +} + +// Sign signs the given message with priv. +// Ed25519 performs two passes over messages to be signed and therefore cannot +// handle pre-hashed messages. Thus opts.HashFunc() must return zero to +// indicate the message hasn't been hashed. This can be achieved by passing +// crypto.Hash(0) as the value for opts. +func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) { + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("ed25519: cannot sign hashed message") + } + + return Sign(priv, message), nil +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (publicKey PublicKey, privateKey PrivateKey, err error) { + if rand == nil { + rand = cryptorand.Reader + } + + privateKey = make([]byte, PrivateKeySize) + publicKey = make([]byte, PublicKeySize) + _, err = io.ReadFull(rand, privateKey[:32]) + if err != nil { + return nil, nil, err + } + + digest := sha512.Sum512(privateKey[:32]) + digest[0] &= 248 + digest[31] &= 127 + digest[31] |= 64 + + var A edwards25519.ExtendedGroupElement + var hBytes [32]byte + copy(hBytes[:], digest[:]) + edwards25519.GeScalarMultBase(&A, &hBytes) + var publicKeyBytes [32]byte + A.ToBytes(&publicKeyBytes) + + copy(privateKey[32:], publicKeyBytes[:]) + copy(publicKey, publicKeyBytes[:]) + + return publicKey, privateKey, nil +} + +// Sign signs the message with privateKey and returns a signature. It will +// panic if len(privateKey) is not PrivateKeySize. +func Sign(privateKey PrivateKey, message []byte) []byte { + if l := len(privateKey); l != PrivateKeySize { + panic("ed25519: bad private key length: " + strconv.Itoa(l)) + } + + h := sha512.New() + h.Write(privateKey[:32]) + + var digest1, messageDigest, hramDigest [64]byte + var expandedSecretKey [32]byte + h.Sum(digest1[:0]) + copy(expandedSecretKey[:], digest1[:]) + expandedSecretKey[0] &= 248 + expandedSecretKey[31] &= 63 + expandedSecretKey[31] |= 64 + + h.Reset() + h.Write(digest1[32:]) + h.Write(message) + h.Sum(messageDigest[:0]) + + var messageDigestReduced [32]byte + edwards25519.ScReduce(&messageDigestReduced, &messageDigest) + var R edwards25519.ExtendedGroupElement + edwards25519.GeScalarMultBase(&R, &messageDigestReduced) + + var encodedR [32]byte + R.ToBytes(&encodedR) + + h.Reset() + h.Write(encodedR[:]) + h.Write(privateKey[32:]) + h.Write(message) + h.Sum(hramDigest[:0]) + var hramDigestReduced [32]byte + edwards25519.ScReduce(&hramDigestReduced, &hramDigest) + + var s [32]byte + edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced) + + signature := make([]byte, SignatureSize) + copy(signature[:], encodedR[:]) + copy(signature[32:], s[:]) + + return signature +} + +// Verify reports whether sig is a valid signature of message by publicKey. It +// will panic if len(publicKey) is not PublicKeySize. +func Verify(publicKey PublicKey, message, sig []byte) bool { + if l := len(publicKey); l != PublicKeySize { + panic("ed25519: bad public key length: " + strconv.Itoa(l)) + } + + if len(sig) != SignatureSize || sig[63]&224 != 0 { + return false + } + + var A edwards25519.ExtendedGroupElement + var publicKeyBytes [32]byte + copy(publicKeyBytes[:], publicKey) + if !A.FromBytes(&publicKeyBytes) { + return false + } + edwards25519.FeNeg(&A.X, &A.X) + edwards25519.FeNeg(&A.T, &A.T) + + h := sha512.New() + h.Write(sig[:32]) + h.Write(publicKey[:]) + h.Write(message) + var digest [64]byte + h.Sum(digest[:0]) + + var hReduced [32]byte + edwards25519.ScReduce(&hReduced, &digest) + + var R edwards25519.ProjectiveGroupElement + var b [32]byte + copy(b[:], sig[32:]) + edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &b) + + var checkR [32]byte + R.ToBytes(&checkR) + return subtle.ConstantTimeCompare(sig[:32], checkR[:]) == 1 +} diff --git a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go new file mode 100644 index 000000000..e39f086c1 --- /dev/null +++ b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go @@ -0,0 +1,1422 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package edwards25519 + +// These values are from the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +// d is a constant in the Edwards curve equation. +var d = FieldElement{ + -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116, +} + +// d2 is 2*d. +var d2 = FieldElement{ + -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199, +} + +// SqrtM1 is the square-root of -1 in the field. +var SqrtM1 = FieldElement{ + -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482, +} + +// A is a constant in the Montgomery-form of curve25519. +var A = FieldElement{ + 486662, 0, 0, 0, 0, 0, 0, 0, 0, 0, +} + +// bi contains precomputed multiples of the base-point. See the Ed25519 paper +// for a discussion about how these values are used. +var bi = [8]PreComputedGroupElement{ + { + FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, + }, + { + FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, + }, + { + FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, + }, + { + FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, + FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, + FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}, + }, + { + FieldElement{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877}, + FieldElement{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951}, + FieldElement{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}, + }, + { + FieldElement{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436}, + FieldElement{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918}, + FieldElement{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}, + }, + { + FieldElement{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800}, + FieldElement{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305}, + FieldElement{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}, + }, + { + FieldElement{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876}, + FieldElement{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619}, + FieldElement{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}, + }, +} + +// base contains precomputed multiples of the base-point. See the Ed25519 paper +// for a discussion about how these values are used. +var base = [32][8]PreComputedGroupElement{ + { + { + FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, + }, + { + FieldElement{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303}, + FieldElement{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081}, + FieldElement{26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}, + }, + { + FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, + }, + { + FieldElement{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540}, + FieldElement{23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397}, + FieldElement{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325}, + }, + { + FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, + }, + { + FieldElement{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, 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3442910}, + FieldElement{-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930}, + }, + { + FieldElement{-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667}, + FieldElement{25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481}, + FieldElement{-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876}, + }, + { + FieldElement{22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640}, + FieldElement{-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278}, + FieldElement{-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112}, + }, + { + FieldElement{26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272}, + FieldElement{17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012}, + FieldElement{-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221}, + }, + { + FieldElement{30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046}, + FieldElement{13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345}, + FieldElement{-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310}, + }, + }, + { + { + FieldElement{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937}, + FieldElement{31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636}, + FieldElement{-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008}, + }, + { + FieldElement{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429}, + FieldElement{-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576}, + FieldElement{31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066}, + }, + { + FieldElement{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490}, + FieldElement{-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104}, + FieldElement{33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053}, + }, + { + FieldElement{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275}, + FieldElement{-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511}, + FieldElement{22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095}, + }, + { + FieldElement{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439}, + FieldElement{23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939}, + FieldElement{-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424}, + }, + { + FieldElement{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310}, + FieldElement{3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608}, + FieldElement{-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079}, + }, + { + FieldElement{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101}, + FieldElement{21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418}, + FieldElement{18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576}, + }, + { + FieldElement{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356}, + FieldElement{9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996}, + FieldElement{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}, + }, + }, + { + { + FieldElement{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728}, + FieldElement{-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658}, + FieldElement{-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}, + }, + { + FieldElement{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001}, + FieldElement{-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766}, + FieldElement{18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}, + }, + { + FieldElement{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458}, + FieldElement{-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628}, + FieldElement{-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}, + }, + { + FieldElement{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062}, + FieldElement{25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616}, + FieldElement{31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}, + }, + { + FieldElement{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383}, + FieldElement{-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814}, + FieldElement{-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}, + }, + { + FieldElement{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417}, + FieldElement{2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222}, + FieldElement{33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}, + }, + { + FieldElement{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597}, + FieldElement{23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970}, + FieldElement{1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}, + }, + { + FieldElement{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647}, + FieldElement{13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511}, + FieldElement{-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}, + }, + }, + { + { + FieldElement{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834}, + FieldElement{-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461}, + FieldElement{29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}, + }, + { + FieldElement{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516}, + FieldElement{-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547}, + FieldElement{-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}, + }, + { + FieldElement{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038}, + FieldElement{-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741}, + FieldElement{16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}, + }, + { + FieldElement{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747}, + FieldElement{-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323}, + FieldElement{31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}, + }, + { + FieldElement{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373}, + FieldElement{15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228}, + FieldElement{-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}, + }, + { + FieldElement{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399}, + FieldElement{11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831}, + FieldElement{-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}, + }, + { + FieldElement{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313}, + FieldElement{-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958}, + FieldElement{-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}, + }, + { + FieldElement{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743}, + FieldElement{29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684}, + FieldElement{-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}, + }, + }, +} diff --git a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go new file mode 100644 index 000000000..5f8b99478 --- /dev/null +++ b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go @@ -0,0 +1,1771 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package edwards25519 + +// This code is a port of the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +// FieldElement represents an element of the field GF(2^255 - 19). An element +// t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 +// t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on +// context. +type FieldElement [10]int32 + +var zero FieldElement + +func FeZero(fe *FieldElement) { + copy(fe[:], zero[:]) +} + +func FeOne(fe *FieldElement) { + FeZero(fe) + fe[0] = 1 +} + +func FeAdd(dst, a, b *FieldElement) { + dst[0] = a[0] + b[0] + dst[1] = a[1] + b[1] + dst[2] = a[2] + b[2] + dst[3] = a[3] + b[3] + dst[4] = a[4] + b[4] + dst[5] = a[5] + b[5] + dst[6] = a[6] + b[6] + dst[7] = a[7] + b[7] + dst[8] = a[8] + b[8] + dst[9] = a[9] + b[9] +} + +func FeSub(dst, a, b *FieldElement) { + dst[0] = a[0] - b[0] + dst[1] = a[1] - b[1] + dst[2] = a[2] - b[2] + dst[3] = a[3] - b[3] + dst[4] = a[4] - b[4] + dst[5] = a[5] - b[5] + dst[6] = a[6] - b[6] + dst[7] = a[7] - b[7] + dst[8] = a[8] - b[8] + dst[9] = a[9] - b[9] +} + +func FeCopy(dst, src *FieldElement) { + copy(dst[:], src[:]) +} + +// Replace (f,g) with (g,g) if b == 1; +// replace (f,g) with (f,g) if b == 0. +// +// Preconditions: b in {0,1}. +func FeCMove(f, g *FieldElement, b int32) { + b = -b + f[0] ^= b & (f[0] ^ g[0]) + f[1] ^= b & (f[1] ^ g[1]) + f[2] ^= b & (f[2] ^ g[2]) + f[3] ^= b & (f[3] ^ g[3]) + f[4] ^= b & (f[4] ^ g[4]) + f[5] ^= b & (f[5] ^ g[5]) + f[6] ^= b & (f[6] ^ g[6]) + f[7] ^= b & (f[7] ^ g[7]) + f[8] ^= b & (f[8] ^ g[8]) + f[9] ^= b & (f[9] ^ g[9]) +} + +func load3(in []byte) int64 { + var r int64 + r = int64(in[0]) + r |= int64(in[1]) << 8 + r |= int64(in[2]) << 16 + return r +} + +func load4(in []byte) int64 { + var r int64 + r = int64(in[0]) + r |= int64(in[1]) << 8 + r |= int64(in[2]) << 16 + r |= int64(in[3]) << 24 + return r +} + +func FeFromBytes(dst *FieldElement, src *[32]byte) { + h0 := load4(src[:]) + h1 := load3(src[4:]) << 6 + h2 := load3(src[7:]) << 5 + h3 := load3(src[10:]) << 3 + h4 := load3(src[13:]) << 2 + h5 := load4(src[16:]) + h6 := load3(src[20:]) << 7 + h7 := load3(src[23:]) << 5 + h8 := load3(src[26:]) << 4 + h9 := (load3(src[29:]) & 8388607) << 2 + + FeCombine(dst, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +// FeToBytes marshals h to s. +// Preconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Write p=2^255-19; q=floor(h/p). +// Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). +// +// Proof: +// Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. +// Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4. +// +// Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). +// Then 0> 25 + q = (h[0] + q) >> 26 + q = (h[1] + q) >> 25 + q = (h[2] + q) >> 26 + q = (h[3] + q) >> 25 + q = (h[4] + q) >> 26 + q = (h[5] + q) >> 25 + q = (h[6] + q) >> 26 + q = (h[7] + q) >> 25 + q = (h[8] + q) >> 26 + q = (h[9] + q) >> 25 + + // Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. + h[0] += 19 * q + // Goal: Output h-2^255 q, which is between 0 and 2^255-20. + + carry[0] = h[0] >> 26 + h[1] += carry[0] + h[0] -= carry[0] << 26 + carry[1] = h[1] >> 25 + h[2] += carry[1] + h[1] -= carry[1] << 25 + carry[2] = h[2] >> 26 + h[3] += carry[2] + h[2] -= carry[2] << 26 + carry[3] = h[3] >> 25 + h[4] += carry[3] + h[3] -= carry[3] << 25 + carry[4] = h[4] >> 26 + h[5] += carry[4] + h[4] -= carry[4] << 26 + carry[5] = h[5] >> 25 + h[6] += carry[5] + h[5] -= carry[5] << 25 + carry[6] = h[6] >> 26 + h[7] += carry[6] + h[6] -= carry[6] << 26 + carry[7] = h[7] >> 25 + h[8] += carry[7] + h[7] -= carry[7] << 25 + carry[8] = h[8] >> 26 + h[9] += carry[8] + h[8] -= carry[8] << 26 + carry[9] = h[9] >> 25 + h[9] -= carry[9] << 25 + // h10 = carry9 + + // Goal: Output h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. + // Have h[0]+...+2^230 h[9] between 0 and 2^255-1; + // evidently 2^255 h10-2^255 q = 0. + // Goal: Output h[0]+...+2^230 h[9]. + + s[0] = byte(h[0] >> 0) + s[1] = byte(h[0] >> 8) + s[2] = byte(h[0] >> 16) + s[3] = byte((h[0] >> 24) | (h[1] << 2)) + s[4] = byte(h[1] >> 6) + s[5] = byte(h[1] >> 14) + s[6] = byte((h[1] >> 22) | (h[2] << 3)) + s[7] = byte(h[2] >> 5) + s[8] = byte(h[2] >> 13) + s[9] = byte((h[2] >> 21) | (h[3] << 5)) + s[10] = byte(h[3] >> 3) + s[11] = byte(h[3] >> 11) + s[12] = byte((h[3] >> 19) | (h[4] << 6)) + s[13] = byte(h[4] >> 2) + s[14] = byte(h[4] >> 10) + s[15] = byte(h[4] >> 18) + s[16] = byte(h[5] >> 0) + s[17] = byte(h[5] >> 8) + s[18] = byte(h[5] >> 16) + s[19] = byte((h[5] >> 24) | (h[6] << 1)) + s[20] = byte(h[6] >> 7) + s[21] = byte(h[6] >> 15) + s[22] = byte((h[6] >> 23) | (h[7] << 3)) + s[23] = byte(h[7] >> 5) + s[24] = byte(h[7] >> 13) + s[25] = byte((h[7] >> 21) | (h[8] << 4)) + s[26] = byte(h[8] >> 4) + s[27] = byte(h[8] >> 12) + s[28] = byte((h[8] >> 20) | (h[9] << 6)) + s[29] = byte(h[9] >> 2) + s[30] = byte(h[9] >> 10) + s[31] = byte(h[9] >> 18) +} + +func FeIsNegative(f *FieldElement) byte { + var s [32]byte + FeToBytes(&s, f) + return s[0] & 1 +} + +func FeIsNonZero(f *FieldElement) int32 { + var s [32]byte + FeToBytes(&s, f) + var x uint8 + for _, b := range s { + x |= b + } + x |= x >> 4 + x |= x >> 2 + x |= x >> 1 + return int32(x & 1) +} + +// FeNeg sets h = -f +// +// Preconditions: +// |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +func FeNeg(h, f *FieldElement) { + h[0] = -f[0] + h[1] = -f[1] + h[2] = -f[2] + h[3] = -f[3] + h[4] = -f[4] + h[5] = -f[5] + h[6] = -f[6] + h[7] = -f[7] + h[8] = -f[8] + h[9] = -f[9] +} + +func FeCombine(h *FieldElement, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { + var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9 int64 + + /* + |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9 + */ + + c0 = (h0 + (1 << 25)) >> 26 + h1 += c0 + h0 -= c0 << 26 + c4 = (h4 + (1 << 25)) >> 26 + h5 += c4 + h4 -= c4 << 26 + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.51*2^58 */ + /* |h5| <= 1.51*2^58 */ + + c1 = (h1 + (1 << 24)) >> 25 + h2 += c1 + h1 -= c1 << 25 + c5 = (h5 + (1 << 24)) >> 25 + h6 += c5 + h5 -= c5 << 25 + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.21*2^59 */ + /* |h6| <= 1.21*2^59 */ + + c2 = (h2 + (1 << 25)) >> 26 + h3 += c2 + h2 -= c2 << 26 + c6 = (h6 + (1 << 25)) >> 26 + h7 += c6 + h6 -= c6 << 26 + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.51*2^58 */ + /* |h7| <= 1.51*2^58 */ + + c3 = (h3 + (1 << 24)) >> 25 + h4 += c3 + h3 -= c3 << 25 + c7 = (h7 + (1 << 24)) >> 25 + h8 += c7 + h7 -= c7 << 25 + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.52*2^33 */ + /* |h8| <= 1.52*2^33 */ + + c4 = (h4 + (1 << 25)) >> 26 + h5 += c4 + h4 -= c4 << 26 + c8 = (h8 + (1 << 25)) >> 26 + h9 += c8 + h8 -= c8 << 26 + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.51*2^58 */ + + c9 = (h9 + (1 << 24)) >> 25 + h0 += c9 * 19 + h9 -= c9 << 25 + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.8*2^37 */ + + c0 = (h0 + (1 << 25)) >> 26 + h1 += c0 + h0 -= c0 << 26 + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = int32(h0) + h[1] = int32(h1) + h[2] = int32(h2) + h[3] = int32(h3) + h[4] = int32(h4) + h[5] = int32(h5) + h[6] = int32(h6) + h[7] = int32(h7) + h[8] = int32(h8) + h[9] = int32(h9) +} + +// FeMul calculates h = f * g +// Can overlap h with f or g. +// +// Preconditions: +// |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// |g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Notes on implementation strategy: +// +// Using schoolbook multiplication. +// Karatsuba would save a little in some cost models. +// +// Most multiplications by 2 and 19 are 32-bit precomputations; +// cheaper than 64-bit postcomputations. +// +// There is one remaining multiplication by 19 in the carry chain; +// one *19 precomputation can be merged into this, +// but the resulting data flow is considerably less clean. +// +// There are 12 carries below. +// 10 of them are 2-way parallelizable and vectorizable. +// Can get away with 11 carries, but then data flow is much deeper. +// +// With tighter constraints on inputs, can squeeze carries into int32. +func FeMul(h, f, g *FieldElement) { + f0 := int64(f[0]) + f1 := int64(f[1]) + f2 := int64(f[2]) + f3 := int64(f[3]) + f4 := int64(f[4]) + f5 := int64(f[5]) + f6 := int64(f[6]) + f7 := int64(f[7]) + f8 := int64(f[8]) + f9 := int64(f[9]) + + f1_2 := int64(2 * f[1]) + f3_2 := int64(2 * f[3]) + f5_2 := int64(2 * f[5]) + f7_2 := int64(2 * f[7]) + f9_2 := int64(2 * f[9]) + + g0 := int64(g[0]) + g1 := int64(g[1]) + g2 := int64(g[2]) + g3 := int64(g[3]) + g4 := int64(g[4]) + g5 := int64(g[5]) + g6 := int64(g[6]) + g7 := int64(g[7]) + g8 := int64(g[8]) + g9 := int64(g[9]) + + g1_19 := int64(19 * g[1]) /* 1.4*2^29 */ + g2_19 := int64(19 * g[2]) /* 1.4*2^30; still ok */ + g3_19 := int64(19 * g[3]) + g4_19 := int64(19 * g[4]) + g5_19 := int64(19 * g[5]) + g6_19 := int64(19 * g[6]) + g7_19 := int64(19 * g[7]) + g8_19 := int64(19 * g[8]) + g9_19 := int64(19 * g[9]) + + h0 := f0*g0 + f1_2*g9_19 + f2*g8_19 + f3_2*g7_19 + f4*g6_19 + f5_2*g5_19 + f6*g4_19 + f7_2*g3_19 + f8*g2_19 + f9_2*g1_19 + h1 := f0*g1 + f1*g0 + f2*g9_19 + f3*g8_19 + f4*g7_19 + f5*g6_19 + f6*g5_19 + f7*g4_19 + f8*g3_19 + f9*g2_19 + h2 := f0*g2 + f1_2*g1 + f2*g0 + f3_2*g9_19 + f4*g8_19 + f5_2*g7_19 + f6*g6_19 + f7_2*g5_19 + f8*g4_19 + f9_2*g3_19 + h3 := f0*g3 + f1*g2 + f2*g1 + f3*g0 + f4*g9_19 + f5*g8_19 + f6*g7_19 + f7*g6_19 + f8*g5_19 + f9*g4_19 + h4 := f0*g4 + f1_2*g3 + f2*g2 + f3_2*g1 + f4*g0 + f5_2*g9_19 + f6*g8_19 + f7_2*g7_19 + f8*g6_19 + f9_2*g5_19 + h5 := f0*g5 + f1*g4 + f2*g3 + f3*g2 + f4*g1 + f5*g0 + f6*g9_19 + f7*g8_19 + f8*g7_19 + f9*g6_19 + h6 := f0*g6 + f1_2*g5 + f2*g4 + f3_2*g3 + f4*g2 + f5_2*g1 + f6*g0 + f7_2*g9_19 + f8*g8_19 + f9_2*g7_19 + h7 := f0*g7 + f1*g6 + f2*g5 + f3*g4 + f4*g3 + f5*g2 + f6*g1 + f7*g0 + f8*g9_19 + f9*g8_19 + h8 := f0*g8 + f1_2*g7 + f2*g6 + f3_2*g5 + f4*g4 + f5_2*g3 + f6*g2 + f7_2*g1 + f8*g0 + f9_2*g9_19 + h9 := f0*g9 + f1*g8 + f2*g7 + f3*g6 + f4*g5 + f5*g4 + f6*g3 + f7*g2 + f8*g1 + f9*g0 + + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +func feSquare(f *FieldElement) (h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { + f0 := int64(f[0]) + f1 := int64(f[1]) + f2 := int64(f[2]) + f3 := int64(f[3]) + f4 := int64(f[4]) + f5 := int64(f[5]) + f6 := int64(f[6]) + f7 := int64(f[7]) + f8 := int64(f[8]) + f9 := int64(f[9]) + f0_2 := int64(2 * f[0]) + f1_2 := int64(2 * f[1]) + f2_2 := int64(2 * f[2]) + f3_2 := int64(2 * f[3]) + f4_2 := int64(2 * f[4]) + f5_2 := int64(2 * f[5]) + f6_2 := int64(2 * f[6]) + f7_2 := int64(2 * f[7]) + f5_38 := 38 * f5 // 1.31*2^30 + f6_19 := 19 * f6 // 1.31*2^30 + f7_38 := 38 * f7 // 1.31*2^30 + f8_19 := 19 * f8 // 1.31*2^30 + f9_38 := 38 * f9 // 1.31*2^30 + + h0 = f0*f0 + f1_2*f9_38 + f2_2*f8_19 + f3_2*f7_38 + f4_2*f6_19 + f5*f5_38 + h1 = f0_2*f1 + f2*f9_38 + f3_2*f8_19 + f4*f7_38 + f5_2*f6_19 + h2 = f0_2*f2 + f1_2*f1 + f3_2*f9_38 + f4_2*f8_19 + f5_2*f7_38 + f6*f6_19 + h3 = f0_2*f3 + f1_2*f2 + f4*f9_38 + f5_2*f8_19 + f6*f7_38 + h4 = f0_2*f4 + f1_2*f3_2 + f2*f2 + f5_2*f9_38 + f6_2*f8_19 + f7*f7_38 + h5 = f0_2*f5 + f1_2*f4 + f2_2*f3 + f6*f9_38 + f7_2*f8_19 + h6 = f0_2*f6 + f1_2*f5_2 + f2_2*f4 + f3_2*f3 + f7_2*f9_38 + f8*f8_19 + h7 = f0_2*f7 + f1_2*f6 + f2_2*f5 + f3_2*f4 + f8*f9_38 + h8 = f0_2*f8 + f1_2*f7_2 + f2_2*f6 + f3_2*f5_2 + f4*f4 + f9*f9_38 + h9 = f0_2*f9 + f1_2*f8 + f2_2*f7 + f3_2*f6 + f4_2*f5 + + return +} + +// FeSquare calculates h = f*f. Can overlap h with f. +// +// Preconditions: +// |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +func FeSquare(h, f *FieldElement) { + h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +// FeSquare2 sets h = 2 * f * f +// +// Can overlap h with f. +// +// Preconditions: +// |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +// See fe_mul.c for discussion of implementation strategy. +func FeSquare2(h, f *FieldElement) { + h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) + + h0 += h0 + h1 += h1 + h2 += h2 + h3 += h3 + h4 += h4 + h5 += h5 + h6 += h6 + h7 += h7 + h8 += h8 + h9 += h9 + + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +func FeInvert(out, z *FieldElement) { + var t0, t1, t2, t3 FieldElement + var i int + + FeSquare(&t0, z) // 2^1 + FeSquare(&t1, &t0) // 2^2 + for i = 1; i < 2; i++ { // 2^3 + FeSquare(&t1, &t1) + } + FeMul(&t1, z, &t1) // 2^3 + 2^0 + FeMul(&t0, &t0, &t1) // 2^3 + 2^1 + 2^0 + FeSquare(&t2, &t0) // 2^4 + 2^2 + 2^1 + FeMul(&t1, &t1, &t2) // 2^4 + 2^3 + 2^2 + 2^1 + 2^0 + FeSquare(&t2, &t1) // 5,4,3,2,1 + for i = 1; i < 5; i++ { // 9,8,7,6,5 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 9,8,7,6,5,4,3,2,1,0 + FeSquare(&t2, &t1) // 10..1 + for i = 1; i < 10; i++ { // 19..10 + FeSquare(&t2, &t2) + } + FeMul(&t2, &t2, &t1) // 19..0 + FeSquare(&t3, &t2) // 20..1 + for i = 1; i < 20; i++ { // 39..20 + FeSquare(&t3, &t3) + } + FeMul(&t2, &t3, &t2) // 39..0 + FeSquare(&t2, &t2) // 40..1 + for i = 1; i < 10; i++ { // 49..10 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 49..0 + FeSquare(&t2, &t1) // 50..1 + for i = 1; i < 50; i++ { // 99..50 + FeSquare(&t2, &t2) + } + FeMul(&t2, &t2, &t1) // 99..0 + FeSquare(&t3, &t2) // 100..1 + for i = 1; i < 100; i++ { // 199..100 + FeSquare(&t3, &t3) + } + FeMul(&t2, &t3, &t2) // 199..0 + FeSquare(&t2, &t2) // 200..1 + for i = 1; i < 50; i++ { // 249..50 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 249..0 + FeSquare(&t1, &t1) // 250..1 + for i = 1; i < 5; i++ { // 254..5 + FeSquare(&t1, &t1) + } + FeMul(out, &t1, &t0) // 254..5,3,1,0 +} + +func fePow22523(out, z *FieldElement) { + var t0, t1, t2 FieldElement + var i int + + FeSquare(&t0, z) + for i = 1; i < 1; i++ { + FeSquare(&t0, &t0) + } + FeSquare(&t1, &t0) + for i = 1; i < 2; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, z, &t1) + FeMul(&t0, &t0, &t1) + FeSquare(&t0, &t0) + for i = 1; i < 1; i++ { + FeSquare(&t0, &t0) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 5; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 10; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, &t1, &t0) + FeSquare(&t2, &t1) + for i = 1; i < 20; i++ { + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) + FeSquare(&t1, &t1) + for i = 1; i < 10; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 50; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, &t1, &t0) + FeSquare(&t2, &t1) + for i = 1; i < 100; i++ { + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) + FeSquare(&t1, &t1) + for i = 1; i < 50; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t0, &t0) + for i = 1; i < 2; i++ { + FeSquare(&t0, &t0) + } + FeMul(out, &t0, z) +} + +// Group elements are members of the elliptic curve -x^2 + y^2 = 1 + d * x^2 * +// y^2 where d = -121665/121666. +// +// Several representations are used: +// ProjectiveGroupElement: (X:Y:Z) satisfying x=X/Z, y=Y/Z +// ExtendedGroupElement: (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT +// CompletedGroupElement: ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T +// PreComputedGroupElement: (y+x,y-x,2dxy) + +type ProjectiveGroupElement struct { + X, Y, Z FieldElement +} + +type ExtendedGroupElement struct { + X, Y, Z, T FieldElement +} + +type CompletedGroupElement struct { + X, Y, Z, T FieldElement +} + +type PreComputedGroupElement struct { + yPlusX, yMinusX, xy2d FieldElement +} + +type CachedGroupElement struct { + yPlusX, yMinusX, Z, T2d FieldElement +} + +func (p *ProjectiveGroupElement) Zero() { + FeZero(&p.X) + FeOne(&p.Y) + FeOne(&p.Z) +} + +func (p *ProjectiveGroupElement) Double(r *CompletedGroupElement) { + var t0 FieldElement + + FeSquare(&r.X, &p.X) + FeSquare(&r.Z, &p.Y) + FeSquare2(&r.T, &p.Z) + FeAdd(&r.Y, &p.X, &p.Y) + FeSquare(&t0, &r.Y) + FeAdd(&r.Y, &r.Z, &r.X) + FeSub(&r.Z, &r.Z, &r.X) + FeSub(&r.X, &t0, &r.Y) + FeSub(&r.T, &r.T, &r.Z) +} + +func (p *ProjectiveGroupElement) ToBytes(s *[32]byte) { + var recip, x, y FieldElement + + FeInvert(&recip, &p.Z) + FeMul(&x, &p.X, &recip) + FeMul(&y, &p.Y, &recip) + FeToBytes(s, &y) + s[31] ^= FeIsNegative(&x) << 7 +} + +func (p *ExtendedGroupElement) Zero() { + FeZero(&p.X) + FeOne(&p.Y) + FeOne(&p.Z) + FeZero(&p.T) +} + +func (p *ExtendedGroupElement) Double(r *CompletedGroupElement) { + var q ProjectiveGroupElement + p.ToProjective(&q) + q.Double(r) +} + +func (p *ExtendedGroupElement) ToCached(r *CachedGroupElement) { + FeAdd(&r.yPlusX, &p.Y, &p.X) + FeSub(&r.yMinusX, &p.Y, &p.X) + FeCopy(&r.Z, &p.Z) + FeMul(&r.T2d, &p.T, &d2) +} + +func (p *ExtendedGroupElement) ToProjective(r *ProjectiveGroupElement) { + FeCopy(&r.X, &p.X) + FeCopy(&r.Y, &p.Y) + FeCopy(&r.Z, &p.Z) +} + +func (p *ExtendedGroupElement) ToBytes(s *[32]byte) { + var recip, x, y FieldElement + + FeInvert(&recip, &p.Z) + FeMul(&x, &p.X, &recip) + FeMul(&y, &p.Y, &recip) + FeToBytes(s, &y) + s[31] ^= FeIsNegative(&x) << 7 +} + +func (p *ExtendedGroupElement) FromBytes(s *[32]byte) bool { + var u, v, v3, vxx, check FieldElement + + FeFromBytes(&p.Y, s) + FeOne(&p.Z) + FeSquare(&u, &p.Y) + FeMul(&v, &u, &d) + FeSub(&u, &u, &p.Z) // y = y^2-1 + FeAdd(&v, &v, &p.Z) // v = dy^2+1 + + FeSquare(&v3, &v) + FeMul(&v3, &v3, &v) // v3 = v^3 + FeSquare(&p.X, &v3) + FeMul(&p.X, &p.X, &v) + FeMul(&p.X, &p.X, &u) // x = uv^7 + + fePow22523(&p.X, &p.X) // x = (uv^7)^((q-5)/8) + FeMul(&p.X, &p.X, &v3) + FeMul(&p.X, &p.X, &u) // x = uv^3(uv^7)^((q-5)/8) + + var tmpX, tmp2 [32]byte + + FeSquare(&vxx, &p.X) + FeMul(&vxx, &vxx, &v) + FeSub(&check, &vxx, &u) // vx^2-u + if FeIsNonZero(&check) == 1 { + FeAdd(&check, &vxx, &u) // vx^2+u + if FeIsNonZero(&check) == 1 { + return false + } + FeMul(&p.X, &p.X, &SqrtM1) + + FeToBytes(&tmpX, &p.X) + for i, v := range tmpX { + tmp2[31-i] = v + } + } + + if FeIsNegative(&p.X) != (s[31] >> 7) { + FeNeg(&p.X, &p.X) + } + + FeMul(&p.T, &p.X, &p.Y) + return true +} + +func (p *CompletedGroupElement) ToProjective(r *ProjectiveGroupElement) { + FeMul(&r.X, &p.X, &p.T) + FeMul(&r.Y, &p.Y, &p.Z) + FeMul(&r.Z, &p.Z, &p.T) +} + +func (p *CompletedGroupElement) ToExtended(r *ExtendedGroupElement) { + FeMul(&r.X, &p.X, &p.T) + FeMul(&r.Y, &p.Y, &p.Z) + FeMul(&r.Z, &p.Z, &p.T) + FeMul(&r.T, &p.X, &p.Y) +} + +func (p *PreComputedGroupElement) Zero() { + FeOne(&p.yPlusX) + FeOne(&p.yMinusX) + FeZero(&p.xy2d) +} + +func geAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yPlusX) + FeMul(&r.Y, &r.Y, &q.yMinusX) + FeMul(&r.T, &q.T2d, &p.T) + FeMul(&r.X, &p.Z, &q.Z) + FeAdd(&t0, &r.X, &r.X) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeAdd(&r.Z, &t0, &r.T) + FeSub(&r.T, &t0, &r.T) +} + +func geSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yMinusX) + FeMul(&r.Y, &r.Y, &q.yPlusX) + FeMul(&r.T, &q.T2d, &p.T) + FeMul(&r.X, &p.Z, &q.Z) + FeAdd(&t0, &r.X, &r.X) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeSub(&r.Z, &t0, &r.T) + FeAdd(&r.T, &t0, &r.T) +} + +func geMixedAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yPlusX) + FeMul(&r.Y, &r.Y, &q.yMinusX) + FeMul(&r.T, &q.xy2d, &p.T) + FeAdd(&t0, &p.Z, &p.Z) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeAdd(&r.Z, &t0, &r.T) + FeSub(&r.T, &t0, &r.T) +} + +func geMixedSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yMinusX) + FeMul(&r.Y, &r.Y, &q.yPlusX) + FeMul(&r.T, &q.xy2d, &p.T) + FeAdd(&t0, &p.Z, &p.Z) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeSub(&r.Z, &t0, &r.T) + FeAdd(&r.T, &t0, &r.T) +} + +func slide(r *[256]int8, a *[32]byte) { + for i := range r { + r[i] = int8(1 & (a[i>>3] >> uint(i&7))) + } + + for i := range r { + if r[i] != 0 { + for b := 1; b <= 6 && i+b < 256; b++ { + if r[i+b] != 0 { + if r[i]+(r[i+b]<= -15 { + r[i] -= r[i+b] << uint(b) + for k := i + b; k < 256; k++ { + if r[k] == 0 { + r[k] = 1 + break + } + r[k] = 0 + } + } else { + break + } + } + } + } + } +} + +// GeDoubleScalarMultVartime sets r = a*A + b*B +// where a = a[0]+256*a[1]+...+256^31 a[31]. +// and b = b[0]+256*b[1]+...+256^31 b[31]. +// B is the Ed25519 base point (x,4/5) with x positive. +func GeDoubleScalarMultVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte) { + var aSlide, bSlide [256]int8 + var Ai [8]CachedGroupElement // A,3A,5A,7A,9A,11A,13A,15A + var t CompletedGroupElement + var u, A2 ExtendedGroupElement + var i int + + slide(&aSlide, a) + slide(&bSlide, b) + + A.ToCached(&Ai[0]) + A.Double(&t) + t.ToExtended(&A2) + + for i := 0; i < 7; i++ { + geAdd(&t, &A2, &Ai[i]) + t.ToExtended(&u) + u.ToCached(&Ai[i+1]) + } + + r.Zero() + + for i = 255; i >= 0; i-- { + if aSlide[i] != 0 || bSlide[i] != 0 { + break + } + } + + for ; i >= 0; i-- { + r.Double(&t) + + if aSlide[i] > 0 { + t.ToExtended(&u) + geAdd(&t, &u, &Ai[aSlide[i]/2]) + } else if aSlide[i] < 0 { + t.ToExtended(&u) + geSub(&t, &u, &Ai[(-aSlide[i])/2]) + } + + if bSlide[i] > 0 { + t.ToExtended(&u) + geMixedAdd(&t, &u, &bi[bSlide[i]/2]) + } else if bSlide[i] < 0 { + t.ToExtended(&u) + geMixedSub(&t, &u, &bi[(-bSlide[i])/2]) + } + + t.ToProjective(r) + } +} + +// equal returns 1 if b == c and 0 otherwise, assuming that b and c are +// non-negative. +func equal(b, c int32) int32 { + x := uint32(b ^ c) + x-- + return int32(x >> 31) +} + +// negative returns 1 if b < 0 and 0 otherwise. +func negative(b int32) int32 { + return (b >> 31) & 1 +} + +func PreComputedGroupElementCMove(t, u *PreComputedGroupElement, b int32) { + FeCMove(&t.yPlusX, &u.yPlusX, b) + FeCMove(&t.yMinusX, &u.yMinusX, b) + FeCMove(&t.xy2d, &u.xy2d, b) +} + +func selectPoint(t *PreComputedGroupElement, pos int32, b int32) { + var minusT PreComputedGroupElement + bNegative := negative(b) + bAbs := b - (((-bNegative) & b) << 1) + + t.Zero() + for i := int32(0); i < 8; i++ { + PreComputedGroupElementCMove(t, &base[pos][i], equal(bAbs, i+1)) + } + FeCopy(&minusT.yPlusX, &t.yMinusX) + FeCopy(&minusT.yMinusX, &t.yPlusX) + FeNeg(&minusT.xy2d, &t.xy2d) + PreComputedGroupElementCMove(t, &minusT, bNegative) +} + +// GeScalarMultBase computes h = a*B, where +// a = a[0]+256*a[1]+...+256^31 a[31] +// B is the Ed25519 base point (x,4/5) with x positive. +// +// Preconditions: +// a[31] <= 127 +func GeScalarMultBase(h *ExtendedGroupElement, a *[32]byte) { + var e [64]int8 + + for i, v := range a { + e[2*i] = int8(v & 15) + e[2*i+1] = int8((v >> 4) & 15) + } + + // each e[i] is between 0 and 15 and e[63] is between 0 and 7. + + carry := int8(0) + for i := 0; i < 63; i++ { + e[i] += carry + carry = (e[i] + 8) >> 4 + e[i] -= carry << 4 + } + e[63] += carry + // each e[i] is between -8 and 8. + + h.Zero() + var t PreComputedGroupElement + var r CompletedGroupElement + for i := int32(1); i < 64; i += 2 { + selectPoint(&t, i/2, int32(e[i])) + geMixedAdd(&r, h, &t) + r.ToExtended(h) + } + + var s ProjectiveGroupElement + + h.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToExtended(h) + + for i := int32(0); i < 64; i += 2 { + selectPoint(&t, i/2, int32(e[i])) + geMixedAdd(&r, h, &t) + r.ToExtended(h) + } +} + +// The scalars are GF(2^252 + 27742317777372353535851937790883648493). + +// Input: +// a[0]+256*a[1]+...+256^31*a[31] = a +// b[0]+256*b[1]+...+256^31*b[31] = b +// c[0]+256*c[1]+...+256^31*c[31] = c +// +// Output: +// s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l +// where l = 2^252 + 27742317777372353535851937790883648493. +func ScMulAdd(s, a, b, c *[32]byte) { + a0 := 2097151 & load3(a[:]) + a1 := 2097151 & (load4(a[2:]) >> 5) + a2 := 2097151 & (load3(a[5:]) >> 2) + a3 := 2097151 & (load4(a[7:]) >> 7) + a4 := 2097151 & (load4(a[10:]) >> 4) + a5 := 2097151 & (load3(a[13:]) >> 1) + a6 := 2097151 & (load4(a[15:]) >> 6) + a7 := 2097151 & (load3(a[18:]) >> 3) + a8 := 2097151 & load3(a[21:]) + a9 := 2097151 & (load4(a[23:]) >> 5) + a10 := 2097151 & (load3(a[26:]) >> 2) + a11 := (load4(a[28:]) >> 7) + b0 := 2097151 & load3(b[:]) + b1 := 2097151 & (load4(b[2:]) >> 5) + b2 := 2097151 & (load3(b[5:]) >> 2) + b3 := 2097151 & (load4(b[7:]) >> 7) + b4 := 2097151 & (load4(b[10:]) >> 4) + b5 := 2097151 & (load3(b[13:]) >> 1) + b6 := 2097151 & (load4(b[15:]) >> 6) + b7 := 2097151 & (load3(b[18:]) >> 3) + b8 := 2097151 & load3(b[21:]) + b9 := 2097151 & (load4(b[23:]) >> 5) + b10 := 2097151 & (load3(b[26:]) >> 2) + b11 := (load4(b[28:]) >> 7) + c0 := 2097151 & load3(c[:]) + c1 := 2097151 & (load4(c[2:]) >> 5) + c2 := 2097151 & (load3(c[5:]) >> 2) + c3 := 2097151 & (load4(c[7:]) >> 7) + c4 := 2097151 & (load4(c[10:]) >> 4) + c5 := 2097151 & (load3(c[13:]) >> 1) + c6 := 2097151 & (load4(c[15:]) >> 6) + c7 := 2097151 & (load3(c[18:]) >> 3) + c8 := 2097151 & load3(c[21:]) + c9 := 2097151 & (load4(c[23:]) >> 5) + c10 := 2097151 & (load3(c[26:]) >> 2) + c11 := (load4(c[28:]) >> 7) + var carry [23]int64 + + s0 := c0 + a0*b0 + s1 := c1 + a0*b1 + a1*b0 + s2 := c2 + a0*b2 + a1*b1 + a2*b0 + s3 := c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0 + s4 := c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0 + s5 := c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0 + s6 := c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0 + s7 := c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0 + s8 := c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0 + s9 := c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0 + s10 := c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0 + s11 := c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0 + s12 := a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1 + s13 := a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2 + s14 := a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3 + s15 := a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4 + s16 := a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5 + s17 := a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6 + s18 := a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7 + s19 := a8*b11 + a9*b10 + a10*b9 + a11*b8 + s20 := a9*b11 + a10*b10 + a11*b9 + s21 := a10*b11 + a11*b10 + s22 := a11 * b11 + s23 := int64(0) + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + carry[18] = (s18 + (1 << 20)) >> 21 + s19 += carry[18] + s18 -= carry[18] << 21 + carry[20] = (s20 + (1 << 20)) >> 21 + s21 += carry[20] + s20 -= carry[20] << 21 + carry[22] = (s22 + (1 << 20)) >> 21 + s23 += carry[22] + s22 -= carry[22] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + carry[17] = (s17 + (1 << 20)) >> 21 + s18 += carry[17] + s17 -= carry[17] << 21 + carry[19] = (s19 + (1 << 20)) >> 21 + s20 += carry[19] + s19 -= carry[19] << 21 + carry[21] = (s21 + (1 << 20)) >> 21 + s22 += carry[21] + s21 -= carry[21] << 21 + + s11 += s23 * 666643 + s12 += s23 * 470296 + s13 += s23 * 654183 + s14 -= s23 * 997805 + s15 += s23 * 136657 + s16 -= s23 * 683901 + s23 = 0 + + s10 += s22 * 666643 + s11 += s22 * 470296 + s12 += s22 * 654183 + s13 -= s22 * 997805 + s14 += s22 * 136657 + s15 -= s22 * 683901 + s22 = 0 + + s9 += s21 * 666643 + s10 += s21 * 470296 + s11 += s21 * 654183 + s12 -= s21 * 997805 + s13 += s21 * 136657 + s14 -= s21 * 683901 + s21 = 0 + + s8 += s20 * 666643 + s9 += s20 * 470296 + s10 += s20 * 654183 + s11 -= s20 * 997805 + s12 += s20 * 136657 + s13 -= s20 * 683901 + s20 = 0 + + s7 += s19 * 666643 + s8 += s19 * 470296 + s9 += s19 * 654183 + s10 -= s19 * 997805 + s11 += s19 * 136657 + s12 -= s19 * 683901 + s19 = 0 + + s6 += s18 * 666643 + s7 += s18 * 470296 + s8 += s18 * 654183 + s9 -= s18 * 997805 + s10 += s18 * 136657 + s11 -= s18 * 683901 + s18 = 0 + + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + + s5 += s17 * 666643 + s6 += s17 * 470296 + s7 += s17 * 654183 + s8 -= s17 * 997805 + s9 += s17 * 136657 + s10 -= s17 * 683901 + s17 = 0 + + s4 += s16 * 666643 + s5 += s16 * 470296 + s6 += s16 * 654183 + s7 -= s16 * 997805 + s8 += s16 * 136657 + s9 -= s16 * 683901 + s16 = 0 + + s3 += s15 * 666643 + s4 += s15 * 470296 + s5 += s15 * 654183 + s6 -= s15 * 997805 + s7 += s15 * 136657 + s8 -= s15 * 683901 + s15 = 0 + + s2 += s14 * 666643 + s3 += s14 * 470296 + s4 += s14 * 654183 + s5 -= s14 * 997805 + s6 += s14 * 136657 + s7 -= s14 * 683901 + s14 = 0 + + s1 += s13 * 666643 + s2 += s13 * 470296 + s3 += s13 * 654183 + s4 -= s13 * 997805 + s5 += s13 * 136657 + s6 -= s13 * 683901 + s13 = 0 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[11] = s11 >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + s[0] = byte(s0 >> 0) + s[1] = byte(s0 >> 8) + s[2] = byte((s0 >> 16) | (s1 << 5)) + s[3] = byte(s1 >> 3) + s[4] = byte(s1 >> 11) + s[5] = byte((s1 >> 19) | (s2 << 2)) + s[6] = byte(s2 >> 6) + s[7] = byte((s2 >> 14) | (s3 << 7)) + s[8] = byte(s3 >> 1) + s[9] = byte(s3 >> 9) + s[10] = byte((s3 >> 17) | (s4 << 4)) + s[11] = byte(s4 >> 4) + s[12] = byte(s4 >> 12) + s[13] = byte((s4 >> 20) | (s5 << 1)) + s[14] = byte(s5 >> 7) + s[15] = byte((s5 >> 15) | (s6 << 6)) + s[16] = byte(s6 >> 2) + s[17] = byte(s6 >> 10) + s[18] = byte((s6 >> 18) | (s7 << 3)) + s[19] = byte(s7 >> 5) + s[20] = byte(s7 >> 13) + s[21] = byte(s8 >> 0) + s[22] = byte(s8 >> 8) + s[23] = byte((s8 >> 16) | (s9 << 5)) + s[24] = byte(s9 >> 3) + s[25] = byte(s9 >> 11) + s[26] = byte((s9 >> 19) | (s10 << 2)) + s[27] = byte(s10 >> 6) + s[28] = byte((s10 >> 14) | (s11 << 7)) + s[29] = byte(s11 >> 1) + s[30] = byte(s11 >> 9) + s[31] = byte(s11 >> 17) +} + +// Input: +// s[0]+256*s[1]+...+256^63*s[63] = s +// +// Output: +// s[0]+256*s[1]+...+256^31*s[31] = s mod l +// where l = 2^252 + 27742317777372353535851937790883648493. +func ScReduce(out *[32]byte, s *[64]byte) { + s0 := 2097151 & load3(s[:]) + s1 := 2097151 & (load4(s[2:]) >> 5) + s2 := 2097151 & (load3(s[5:]) >> 2) + s3 := 2097151 & (load4(s[7:]) >> 7) + s4 := 2097151 & (load4(s[10:]) >> 4) + s5 := 2097151 & (load3(s[13:]) >> 1) + s6 := 2097151 & (load4(s[15:]) >> 6) + s7 := 2097151 & (load3(s[18:]) >> 3) + s8 := 2097151 & load3(s[21:]) + s9 := 2097151 & (load4(s[23:]) >> 5) + s10 := 2097151 & (load3(s[26:]) >> 2) + s11 := 2097151 & (load4(s[28:]) >> 7) + s12 := 2097151 & (load4(s[31:]) >> 4) + s13 := 2097151 & (load3(s[34:]) >> 1) + s14 := 2097151 & (load4(s[36:]) >> 6) + s15 := 2097151 & (load3(s[39:]) >> 3) + s16 := 2097151 & load3(s[42:]) + s17 := 2097151 & (load4(s[44:]) >> 5) + s18 := 2097151 & (load3(s[47:]) >> 2) + s19 := 2097151 & (load4(s[49:]) >> 7) + s20 := 2097151 & (load4(s[52:]) >> 4) + s21 := 2097151 & (load3(s[55:]) >> 1) + s22 := 2097151 & (load4(s[57:]) >> 6) + s23 := (load4(s[60:]) >> 3) + + s11 += s23 * 666643 + s12 += s23 * 470296 + s13 += s23 * 654183 + s14 -= s23 * 997805 + s15 += s23 * 136657 + s16 -= s23 * 683901 + s23 = 0 + + s10 += s22 * 666643 + s11 += s22 * 470296 + s12 += s22 * 654183 + s13 -= s22 * 997805 + s14 += s22 * 136657 + s15 -= s22 * 683901 + s22 = 0 + + s9 += s21 * 666643 + s10 += s21 * 470296 + s11 += s21 * 654183 + s12 -= s21 * 997805 + s13 += s21 * 136657 + s14 -= s21 * 683901 + s21 = 0 + + s8 += s20 * 666643 + s9 += s20 * 470296 + s10 += s20 * 654183 + s11 -= s20 * 997805 + s12 += s20 * 136657 + s13 -= s20 * 683901 + s20 = 0 + + s7 += s19 * 666643 + s8 += s19 * 470296 + s9 += s19 * 654183 + s10 -= s19 * 997805 + s11 += s19 * 136657 + s12 -= s19 * 683901 + s19 = 0 + + s6 += s18 * 666643 + s7 += s18 * 470296 + s8 += s18 * 654183 + s9 -= s18 * 997805 + s10 += s18 * 136657 + s11 -= s18 * 683901 + s18 = 0 + + var carry [17]int64 + + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + + s5 += s17 * 666643 + s6 += s17 * 470296 + s7 += s17 * 654183 + s8 -= s17 * 997805 + s9 += s17 * 136657 + s10 -= s17 * 683901 + s17 = 0 + + s4 += s16 * 666643 + s5 += s16 * 470296 + s6 += s16 * 654183 + s7 -= s16 * 997805 + s8 += s16 * 136657 + s9 -= s16 * 683901 + s16 = 0 + + s3 += s15 * 666643 + s4 += s15 * 470296 + s5 += s15 * 654183 + s6 -= s15 * 997805 + s7 += s15 * 136657 + s8 -= s15 * 683901 + s15 = 0 + + s2 += s14 * 666643 + s3 += s14 * 470296 + s4 += s14 * 654183 + s5 -= s14 * 997805 + s6 += s14 * 136657 + s7 -= s14 * 683901 + s14 = 0 + + s1 += s13 * 666643 + s2 += s13 * 470296 + s3 += s13 * 654183 + s4 -= s13 * 997805 + s5 += s13 * 136657 + s6 -= s13 * 683901 + s13 = 0 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[11] = s11 >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + out[0] = byte(s0 >> 0) + out[1] = byte(s0 >> 8) + out[2] = byte((s0 >> 16) | (s1 << 5)) + out[3] = byte(s1 >> 3) + out[4] = byte(s1 >> 11) + out[5] = byte((s1 >> 19) | (s2 << 2)) + out[6] = byte(s2 >> 6) + out[7] = byte((s2 >> 14) | (s3 << 7)) + out[8] = byte(s3 >> 1) + out[9] = byte(s3 >> 9) + out[10] = byte((s3 >> 17) | (s4 << 4)) + out[11] = byte(s4 >> 4) + out[12] = byte(s4 >> 12) + out[13] = byte((s4 >> 20) | (s5 << 1)) + out[14] = byte(s5 >> 7) + out[15] = byte((s5 >> 15) | (s6 << 6)) + out[16] = byte(s6 >> 2) + out[17] = byte(s6 >> 10) + out[18] = byte((s6 >> 18) | (s7 << 3)) + out[19] = byte(s7 >> 5) + out[20] = byte(s7 >> 13) + out[21] = byte(s8 >> 0) + out[22] = byte(s8 >> 8) + out[23] = byte((s8 >> 16) | (s9 << 5)) + out[24] = byte(s9 >> 3) + out[25] = byte(s9 >> 11) + out[26] = byte((s9 >> 19) | (s10 << 2)) + out[27] = byte(s10 >> 6) + out[28] = byte((s10 >> 14) | (s11 << 7)) + out[29] = byte(s11 >> 1) + out[30] = byte(s11 >> 9) + out[31] = byte(s11 >> 17) +} diff --git a/vendor/golang.org/x/crypto/ssh/agent/client.go b/vendor/golang.org/x/crypto/ssh/agent/client.go index d043c5bec..ecfd7c58d 100644 --- a/vendor/golang.org/x/crypto/ssh/agent/client.go +++ b/vendor/golang.org/x/crypto/ssh/agent/client.go @@ -2,13 +2,14 @@ // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. -/* - Package agent implements a client to an ssh-agent daemon. - -References: - [PROTOCOL.agent]: http://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.agent?rev=HEAD -*/ -package agent +// Package agent implements the ssh-agent protocol, and provides both +// a client and a server. The client can talk to a standard ssh-agent +// that uses UNIX sockets, and one could implement an alternative +// ssh-agent process using the sample server. +// +// References: +// [PROTOCOL.agent]: http://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.agent?rev=HEAD +package agent // import "golang.org/x/crypto/ssh/agent" import ( "bytes" @@ -24,6 +25,7 @@ import ( "math/big" "sync" + "golang.org/x/crypto/ed25519" "golang.org/x/crypto/ssh" ) @@ -75,7 +77,8 @@ type AddedKey struct { // See [PROTOCOL.agent], section 3. const ( - agentRequestV1Identities = 1 + agentRequestV1Identities = 1 + agentRemoveAllV1Identities = 9 // 3.2 Requests from client to agent for protocol 2 key operations agentAddIdentity = 17 @@ -182,10 +185,13 @@ func (k *Key) Marshal() []byte { return k.Blob } -// Verify satisfies the ssh.PublicKey interface, but is not -// implemented for agent keys. +// Verify satisfies the ssh.PublicKey interface. func (k *Key) Verify(data []byte, sig *ssh.Signature) error { - return errors.New("agent: agent key does not know how to verify") + pubKey, err := ssh.ParsePublicKey(k.Blob) + if err != nil { + return fmt.Errorf("agent: bad public key: %v", err) + } + return pubKey.Verify(data, sig) } type wireKey struct { @@ -375,6 +381,8 @@ func unmarshal(packet []byte) (interface{}, error) { msg = new(identitiesAnswerAgentMsg) case agentSignResponse: msg = new(signResponseAgentMsg) + case agentV1IdentitiesAnswer: + msg = new(agentV1IdentityMsg) default: return nil, fmt.Errorf("agent: unknown type tag %d", packet[0]) } @@ -385,7 +393,7 @@ func unmarshal(packet []byte) (interface{}, error) { } type rsaKeyMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` N *big.Int E *big.Int D *big.Int @@ -397,7 +405,7 @@ type rsaKeyMsg struct { } type dsaKeyMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` P *big.Int Q *big.Int G *big.Int @@ -408,7 +416,7 @@ type dsaKeyMsg struct { } type ecdsaKeyMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` Curve string KeyBytes []byte D *big.Int @@ -416,6 +424,14 @@ type ecdsaKeyMsg struct { Constraints []byte `ssh:"rest"` } +type ed25519KeyMsg struct { + Type string `sshtype:"17|25"` + Pub []byte + Priv []byte + Comments string + Constraints []byte `ssh:"rest"` +} + // Insert adds a private key to the agent. func (c *client) insertKey(s interface{}, comment string, constraints []byte) error { var req []byte @@ -457,6 +473,14 @@ func (c *client) insertKey(s interface{}, comment string, constraints []byte) er Comments: comment, Constraints: constraints, }) + case *ed25519.PrivateKey: + req = ssh.Marshal(ed25519KeyMsg{ + Type: ssh.KeyAlgoED25519, + Pub: []byte(*k)[32:], + Priv: []byte(*k), + Comments: comment, + Constraints: constraints, + }) default: return fmt.Errorf("agent: unsupported key type %T", s) } @@ -477,7 +501,7 @@ func (c *client) insertKey(s interface{}, comment string, constraints []byte) er } type rsaCertMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` CertBytes []byte D *big.Int Iqmp *big.Int // IQMP = Inverse Q Mod P @@ -488,7 +512,7 @@ type rsaCertMsg struct { } type dsaCertMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` CertBytes []byte X *big.Int Comments string @@ -496,14 +520,23 @@ type dsaCertMsg struct { } type ecdsaCertMsg struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` CertBytes []byte D *big.Int Comments string Constraints []byte `ssh:"rest"` } -// Insert adds a private key to the agent. If a certificate is given, +type ed25519CertMsg struct { + Type string `sshtype:"17|25"` + CertBytes []byte + Pub []byte + Priv []byte + Comments string + Constraints []byte `ssh:"rest"` +} + +// Add adds a private key to the agent. If a certificate is given, // that certificate is added instead as public key. func (c *client) Add(key AddedKey) error { var constraints []byte @@ -547,17 +580,28 @@ func (c *client) insertCert(s interface{}, cert *ssh.Certificate, comment string }) case *dsa.PrivateKey: req = ssh.Marshal(dsaCertMsg{ - Type: cert.Type(), - CertBytes: cert.Marshal(), - X: k.X, - Comments: comment, + Type: cert.Type(), + CertBytes: cert.Marshal(), + X: k.X, + Comments: comment, + Constraints: constraints, }) case *ecdsa.PrivateKey: req = ssh.Marshal(ecdsaCertMsg{ - Type: cert.Type(), - CertBytes: cert.Marshal(), - D: k.D, - Comments: comment, + Type: cert.Type(), + CertBytes: cert.Marshal(), + D: k.D, + Comments: comment, + Constraints: constraints, + }) + case *ed25519.PrivateKey: + req = ssh.Marshal(ed25519CertMsg{ + Type: cert.Type(), + CertBytes: cert.Marshal(), + Pub: []byte(*k)[32:], + Priv: []byte(*k), + Comments: comment, + Constraints: constraints, }) default: return fmt.Errorf("agent: unsupported key type %T", s) diff --git a/vendor/golang.org/x/crypto/ssh/agent/keyring.go b/vendor/golang.org/x/crypto/ssh/agent/keyring.go index 12ffa82b1..a6ba06ab3 100644 --- a/vendor/golang.org/x/crypto/ssh/agent/keyring.go +++ b/vendor/golang.org/x/crypto/ssh/agent/keyring.go @@ -11,6 +11,7 @@ import ( "errors" "fmt" "sync" + "time" "golang.org/x/crypto/ssh" ) @@ -18,6 +19,7 @@ import ( type privKey struct { signer ssh.Signer comment string + expire *time.Time } type keyring struct { @@ -48,15 +50,9 @@ func (r *keyring) RemoveAll() error { return nil } -// Remove removes all identities with the given public key. -func (r *keyring) Remove(key ssh.PublicKey) error { - r.mu.Lock() - defer r.mu.Unlock() - if r.locked { - return errLocked - } - - want := key.Marshal() +// removeLocked does the actual key removal. The caller must already be holding the +// keyring mutex. +func (r *keyring) removeLocked(want []byte) error { found := false for i := 0; i < len(r.keys); { if bytes.Equal(r.keys[i].signer.PublicKey().Marshal(), want) { @@ -75,7 +71,18 @@ func (r *keyring) Remove(key ssh.PublicKey) error { return nil } -// Lock locks the agent. Sign and Remove will fail, and List will empty an empty list. +// Remove removes all identities with the given public key. +func (r *keyring) Remove(key ssh.PublicKey) error { + r.mu.Lock() + defer r.mu.Unlock() + if r.locked { + return errLocked + } + + return r.removeLocked(key.Marshal()) +} + +// Lock locks the agent. Sign and Remove will fail, and List will return an empty list. func (r *keyring) Lock(passphrase []byte) error { r.mu.Lock() defer r.mu.Unlock() @@ -104,6 +111,17 @@ func (r *keyring) Unlock(passphrase []byte) error { return nil } +// 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. +func (r *keyring) expireKeysLocked() { + for _, k := range r.keys { + if k.expire != nil && time.Now().After(*k.expire) { + r.removeLocked(k.signer.PublicKey().Marshal()) + } + } +} + // List returns the identities known to the agent. func (r *keyring) List() ([]*Key, error) { r.mu.Lock() @@ -113,6 +131,7 @@ func (r *keyring) List() ([]*Key, error) { return nil, nil } + r.expireKeysLocked() var ids []*Key for _, k := range r.keys { pub := k.signer.PublicKey() @@ -146,7 +165,17 @@ func (r *keyring) Add(key AddedKey) error { } } - r.keys = append(r.keys, privKey{signer, key.Comment}) + p := privKey{ + signer: signer, + comment: key.Comment, + } + + if key.LifetimeSecs > 0 { + t := time.Now().Add(time.Duration(key.LifetimeSecs) * time.Second) + p.expire = &t + } + + r.keys = append(r.keys, p) return nil } @@ -159,6 +188,7 @@ func (r *keyring) Sign(key ssh.PublicKey, data []byte) (*ssh.Signature, error) { return nil, errLocked } + r.expireKeysLocked() wanted := key.Marshal() for _, k := range r.keys { if bytes.Equal(k.signer.PublicKey().Marshal(), wanted) { @@ -176,6 +206,7 @@ func (r *keyring) Signers() ([]ssh.Signer, error) { return nil, errLocked } + r.expireKeysLocked() s := make([]ssh.Signer, 0, len(r.keys)) for _, k := range r.keys { s = append(s, k.signer) diff --git a/vendor/golang.org/x/crypto/ssh/agent/server.go b/vendor/golang.org/x/crypto/ssh/agent/server.go index b21a20180..68a333fa5 100644 --- a/vendor/golang.org/x/crypto/ssh/agent/server.go +++ b/vendor/golang.org/x/crypto/ssh/agent/server.go @@ -5,13 +5,18 @@ package agent import ( + "crypto/dsa" + "crypto/ecdsa" + "crypto/elliptic" "crypto/rsa" "encoding/binary" + "errors" "fmt" "io" "log" "math/big" + "golang.org/x/crypto/ed25519" "golang.org/x/crypto/ssh" ) @@ -49,6 +54,9 @@ func marshalKey(k *Key) []byte { return ssh.Marshal(&record) } +// See [PROTOCOL.agent], section 2.5.1. +const agentV1IdentitiesAnswer = 2 + type agentV1IdentityMsg struct { Numkeys uint32 `sshtype:"2"` } @@ -69,6 +77,10 @@ func (s *server) processRequest(data []byte) (interface{}, error) { switch data[0] { case agentRequestV1Identities: return &agentV1IdentityMsg{0}, nil + + case agentRemoveAllV1Identities: + return nil, nil + case agentRemoveIdentity: var req agentRemoveIdentityMsg if err := ssh.Unmarshal(data, &req); err != nil { @@ -121,6 +133,7 @@ func (s *server) processRequest(data []byte) (interface{}, error) { return nil, err } return &signResponseAgentMsg{SigBlob: ssh.Marshal(sig)}, nil + case agentRequestIdentities: keys, err := s.agent.List() if err != nil { @@ -134,42 +147,271 @@ func (s *server) processRequest(data []byte) (interface{}, error) { rep.Keys = append(rep.Keys, marshalKey(k)...) } return rep, nil - case agentAddIdentity: + + case agentAddIdConstrained, agentAddIdentity: return nil, s.insertIdentity(data) } return nil, fmt.Errorf("unknown opcode %d", data[0]) } +func parseRSAKey(req []byte) (*AddedKey, error) { + var k rsaKeyMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + if k.E.BitLen() > 30 { + return nil, errors.New("agent: RSA public exponent too large") + } + priv := &rsa.PrivateKey{ + PublicKey: rsa.PublicKey{ + E: int(k.E.Int64()), + N: k.N, + }, + D: k.D, + Primes: []*big.Int{k.P, k.Q}, + } + priv.Precompute() + + return &AddedKey{PrivateKey: priv, Comment: k.Comments}, nil +} + +func parseEd25519Key(req []byte) (*AddedKey, error) { + var k ed25519KeyMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + priv := ed25519.PrivateKey(k.Priv) + return &AddedKey{PrivateKey: &priv, Comment: k.Comments}, nil +} + +func parseDSAKey(req []byte) (*AddedKey, error) { + var k dsaKeyMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + priv := &dsa.PrivateKey{ + PublicKey: dsa.PublicKey{ + Parameters: dsa.Parameters{ + P: k.P, + Q: k.Q, + G: k.G, + }, + Y: k.Y, + }, + X: k.X, + } + + return &AddedKey{PrivateKey: priv, Comment: k.Comments}, nil +} + +func unmarshalECDSA(curveName string, keyBytes []byte, privScalar *big.Int) (priv *ecdsa.PrivateKey, err error) { + priv = &ecdsa.PrivateKey{ + D: privScalar, + } + + switch curveName { + case "nistp256": + priv.Curve = elliptic.P256() + case "nistp384": + priv.Curve = elliptic.P384() + case "nistp521": + priv.Curve = elliptic.P521() + default: + return nil, fmt.Errorf("agent: unknown curve %q", curveName) + } + + priv.X, priv.Y = elliptic.Unmarshal(priv.Curve, keyBytes) + if priv.X == nil || priv.Y == nil { + return nil, errors.New("agent: point not on curve") + } + + return priv, nil +} + +func parseEd25519Cert(req []byte) (*AddedKey, error) { + var k ed25519CertMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + pubKey, err := ssh.ParsePublicKey(k.CertBytes) + if err != nil { + return nil, err + } + priv := ed25519.PrivateKey(k.Priv) + cert, ok := pubKey.(*ssh.Certificate) + if !ok { + return nil, errors.New("agent: bad ED25519 certificate") + } + return &AddedKey{PrivateKey: &priv, Certificate: cert, Comment: k.Comments}, nil +} + +func parseECDSAKey(req []byte) (*AddedKey, error) { + var k ecdsaKeyMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + + priv, err := unmarshalECDSA(k.Curve, k.KeyBytes, k.D) + if err != nil { + return nil, err + } + + return &AddedKey{PrivateKey: priv, Comment: k.Comments}, nil +} + +func parseRSACert(req []byte) (*AddedKey, error) { + var k rsaCertMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + + pubKey, err := ssh.ParsePublicKey(k.CertBytes) + if err != nil { + return nil, err + } + + cert, ok := pubKey.(*ssh.Certificate) + if !ok { + return nil, errors.New("agent: bad RSA certificate") + } + + // An RSA publickey as marshaled by rsaPublicKey.Marshal() in keys.go + var rsaPub struct { + Name string + E *big.Int + N *big.Int + } + if err := ssh.Unmarshal(cert.Key.Marshal(), &rsaPub); err != nil { + return nil, fmt.Errorf("agent: Unmarshal failed to parse public key: %v", err) + } + + if rsaPub.E.BitLen() > 30 { + return nil, errors.New("agent: RSA public exponent too large") + } + + priv := rsa.PrivateKey{ + PublicKey: rsa.PublicKey{ + E: int(rsaPub.E.Int64()), + N: rsaPub.N, + }, + D: k.D, + Primes: []*big.Int{k.Q, k.P}, + } + priv.Precompute() + + return &AddedKey{PrivateKey: &priv, Certificate: cert, Comment: k.Comments}, nil +} + +func parseDSACert(req []byte) (*AddedKey, error) { + var k dsaCertMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + pubKey, err := ssh.ParsePublicKey(k.CertBytes) + if err != nil { + return nil, err + } + cert, ok := pubKey.(*ssh.Certificate) + if !ok { + return nil, errors.New("agent: bad DSA certificate") + } + + // A DSA publickey as marshaled by dsaPublicKey.Marshal() in keys.go + var w struct { + Name string + P, Q, G, Y *big.Int + } + if err := ssh.Unmarshal(cert.Key.Marshal(), &w); err != nil { + return nil, fmt.Errorf("agent: Unmarshal failed to parse public key: %v", err) + } + + priv := &dsa.PrivateKey{ + PublicKey: dsa.PublicKey{ + Parameters: dsa.Parameters{ + P: w.P, + Q: w.Q, + G: w.G, + }, + Y: w.Y, + }, + X: k.X, + } + + return &AddedKey{PrivateKey: priv, Certificate: cert, Comment: k.Comments}, nil +} + +func parseECDSACert(req []byte) (*AddedKey, error) { + var k ecdsaCertMsg + if err := ssh.Unmarshal(req, &k); err != nil { + return nil, err + } + + pubKey, err := ssh.ParsePublicKey(k.CertBytes) + if err != nil { + return nil, err + } + cert, ok := pubKey.(*ssh.Certificate) + if !ok { + return nil, errors.New("agent: bad ECDSA certificate") + } + + // An ECDSA publickey as marshaled by ecdsaPublicKey.Marshal() in keys.go + var ecdsaPub struct { + Name string + ID string + Key []byte + } + if err := ssh.Unmarshal(cert.Key.Marshal(), &ecdsaPub); err != nil { + return nil, err + } + + priv, err := unmarshalECDSA(ecdsaPub.ID, ecdsaPub.Key, k.D) + if err != nil { + return nil, err + } + + return &AddedKey{PrivateKey: priv, Certificate: cert, Comment: k.Comments}, nil +} + func (s *server) insertIdentity(req []byte) error { var record struct { - Type string `sshtype:"17"` + Type string `sshtype:"17|25"` Rest []byte `ssh:"rest"` } + if err := ssh.Unmarshal(req, &record); err != nil { return err } + var addedKey *AddedKey + var err error + switch record.Type { case ssh.KeyAlgoRSA: - var k rsaKeyMsg - if err := ssh.Unmarshal(req, &k); err != nil { - return err - } - - priv := rsa.PrivateKey{ - PublicKey: rsa.PublicKey{ - E: int(k.E.Int64()), - N: k.N, - }, - D: k.D, - Primes: []*big.Int{k.P, k.Q}, - } - priv.Precompute() - - return s.agent.Add(AddedKey{PrivateKey: &priv, Comment: k.Comments}) + addedKey, err = parseRSAKey(req) + case ssh.KeyAlgoDSA: + addedKey, err = parseDSAKey(req) + case ssh.KeyAlgoECDSA256, ssh.KeyAlgoECDSA384, ssh.KeyAlgoECDSA521: + addedKey, err = parseECDSAKey(req) + case ssh.KeyAlgoED25519: + addedKey, err = parseEd25519Key(req) + case ssh.CertAlgoRSAv01: + addedKey, err = parseRSACert(req) + case ssh.CertAlgoDSAv01: + addedKey, err = parseDSACert(req) + case ssh.CertAlgoECDSA256v01, ssh.CertAlgoECDSA384v01, ssh.CertAlgoECDSA521v01: + addedKey, err = parseECDSACert(req) + case ssh.CertAlgoED25519v01: + addedKey, err = parseEd25519Cert(req) + default: + return fmt.Errorf("agent: not implemented: %q", record.Type) } - return fmt.Errorf("not implemented: %s", record.Type) + + if err != nil { + return err + } + return s.agent.Add(*addedKey) } // ServeAgent serves the agent protocol on the given connection. It diff --git a/vendor/golang.org/x/crypto/ssh/certs.go b/vendor/golang.org/x/crypto/ssh/certs.go index 385770036..6331c94d5 100644 --- a/vendor/golang.org/x/crypto/ssh/certs.go +++ b/vendor/golang.org/x/crypto/ssh/certs.go @@ -22,6 +22,7 @@ const ( CertAlgoECDSA256v01 = "ecdsa-sha2-nistp256-cert-v01@openssh.com" CertAlgoECDSA384v01 = "ecdsa-sha2-nistp384-cert-v01@openssh.com" CertAlgoECDSA521v01 = "ecdsa-sha2-nistp521-cert-v01@openssh.com" + CertAlgoED25519v01 = "ssh-ed25519-cert-v01@openssh.com" ) // Certificate types distinguish between host and user @@ -401,6 +402,7 @@ var certAlgoNames = map[string]string{ KeyAlgoECDSA256: CertAlgoECDSA256v01, KeyAlgoECDSA384: CertAlgoECDSA384v01, KeyAlgoECDSA521: CertAlgoECDSA521v01, + KeyAlgoED25519: CertAlgoED25519v01, } // certToPrivAlgo returns the underlying algorithm for a certificate algorithm. @@ -459,7 +461,7 @@ func (c *Certificate) Marshal() []byte { func (c *Certificate) Type() string { algo, ok := certAlgoNames[c.Key.Type()] if !ok { - panic("unknown cert key type") + panic("unknown cert key type " + c.Key.Type()) } return algo } diff --git a/vendor/golang.org/x/crypto/ssh/channel.go b/vendor/golang.org/x/crypto/ssh/channel.go index 5403c7e45..6d709b50b 100644 --- a/vendor/golang.org/x/crypto/ssh/channel.go +++ b/vendor/golang.org/x/crypto/ssh/channel.go @@ -67,6 +67,8 @@ type Channel interface { // boolean, otherwise the return value will be false. Channel // requests are out-of-band messages so they may be sent even // if the data stream is closed or blocked by flow control. + // If the channel is closed before a reply is returned, io.EOF + // is returned. SendRequest(name string, wantReply bool, payload []byte) (bool, error) // Stderr returns an io.ReadWriter that writes to this channel @@ -217,7 +219,7 @@ func (c *channel) writePacket(packet []byte) error { func (c *channel) sendMessage(msg interface{}) error { if debugMux { - log.Printf("send %d: %#v", c.mux.chanList.offset, msg) + log.Printf("send(%d): %#v", c.mux.chanList.offset, msg) } p := Marshal(msg) @@ -371,7 +373,7 @@ func (c *channel) close() { close(c.msg) close(c.incomingRequests) c.writeMu.Lock() - // This is not necesary for a normal channel teardown, but if + // This is not necessary for a normal channel teardown, but if // there was another error, it is. c.sentClose = true c.writeMu.Unlock() diff --git a/vendor/golang.org/x/crypto/ssh/cipher.go b/vendor/golang.org/x/crypto/ssh/cipher.go index 2732963f3..34d3917c4 100644 --- a/vendor/golang.org/x/crypto/ssh/cipher.go +++ b/vendor/golang.org/x/crypto/ssh/cipher.go @@ -7,6 +7,7 @@ package ssh import ( "crypto/aes" "crypto/cipher" + "crypto/des" "crypto/rc4" "crypto/subtle" "encoding/binary" @@ -121,6 +122,9 @@ var cipherModes = map[string]*streamCipherMode{ // You should expect that an active attacker can recover plaintext if // you do. aes128cbcID: {16, aes.BlockSize, 0, nil}, + + // 3des-cbc is insecure and is disabled by default. + tripledescbcID: {24, des.BlockSize, 0, nil}, } // prefixLen is the length of the packet prefix that contains the packet length @@ -368,12 +372,7 @@ type cbcCipher struct { oracleCamouflage uint32 } -func newAESCBCCipher(iv, key, macKey []byte, algs directionAlgorithms) (packetCipher, error) { - c, err := aes.NewCipher(key) - if err != nil { - return nil, err - } - +func newCBCCipher(c cipher.Block, iv, key, macKey []byte, algs directionAlgorithms) (packetCipher, error) { cbc := &cbcCipher{ mac: macModes[algs.MAC].new(macKey), decrypter: cipher.NewCBCDecrypter(c, iv), @@ -387,6 +386,34 @@ func newAESCBCCipher(iv, key, macKey []byte, algs directionAlgorithms) (packetCi return cbc, nil } +func newAESCBCCipher(iv, key, macKey []byte, algs directionAlgorithms) (packetCipher, error) { + c, err := aes.NewCipher(key) + if err != nil { + return nil, err + } + + cbc, err := newCBCCipher(c, iv, key, macKey, algs) + if err != nil { + return nil, err + } + + return cbc, nil +} + +func newTripleDESCBCCipher(iv, key, macKey []byte, algs directionAlgorithms) (packetCipher, error) { + c, err := des.NewTripleDESCipher(key) + if err != nil { + return nil, err + } + + cbc, err := newCBCCipher(c, iv, key, macKey, algs) + if err != nil { + return nil, err + } + + return cbc, nil +} + func maxUInt32(a, b int) uint32 { if a > b { return uint32(a) diff --git a/vendor/golang.org/x/crypto/ssh/client.go b/vendor/golang.org/x/crypto/ssh/client.go index 0b9fbe500..0212a20c9 100644 --- a/vendor/golang.org/x/crypto/ssh/client.go +++ b/vendor/golang.org/x/crypto/ssh/client.go @@ -9,6 +9,7 @@ import ( "fmt" "net" "sync" + "time" ) // Client implements a traditional SSH client that supports shells, @@ -96,16 +97,10 @@ func (c *connection) clientHandshake(dialAddress string, config *ClientConfig) e c.transport = newClientTransport( newTransport(c.sshConn.conn, config.Rand, true /* is client */), c.clientVersion, c.serverVersion, config, dialAddress, c.sshConn.RemoteAddr()) - if err := c.transport.requestKeyChange(); err != nil { + if err := c.transport.requestInitialKeyChange(); err != nil { return err } - if packet, err := c.transport.readPacket(); err != nil { - return err - } else if packet[0] != msgNewKeys { - return unexpectedMessageError(msgNewKeys, packet[0]) - } - // We just did the key change, so the session ID is established. c.sessionID = c.transport.getSessionID() @@ -169,7 +164,7 @@ func (c *Client) handleChannelOpens(in <-chan NewChannel) { // to incoming channels and requests, use net.Dial with NewClientConn // instead. func Dial(network, addr string, config *ClientConfig) (*Client, error) { - conn, err := net.Dial(network, addr) + conn, err := net.DialTimeout(network, addr, config.Timeout) if err != nil { return nil, err } @@ -210,4 +205,9 @@ type ClientConfig struct { // string returned from PublicKey.Type method may be used, or // any of the CertAlgoXxxx and KeyAlgoXxxx constants. HostKeyAlgorithms []string + + // Timeout is the maximum amount of time for the TCP connection to establish. + // + // A Timeout of zero means no timeout. + Timeout time.Duration } diff --git a/vendor/golang.org/x/crypto/ssh/client_auth.go b/vendor/golang.org/x/crypto/ssh/client_auth.go index e15be3ef2..294af0d48 100644 --- a/vendor/golang.org/x/crypto/ssh/client_auth.go +++ b/vendor/golang.org/x/crypto/ssh/client_auth.go @@ -321,8 +321,6 @@ func handleAuthResponse(c packetConn) (bool, []string, error) { return false, msg.Methods, nil case msgUserAuthSuccess: return true, nil, nil - case msgDisconnect: - return false, nil, io.EOF default: return false, nil, unexpectedMessageError(msgUserAuthSuccess, packet[0]) } @@ -439,3 +437,37 @@ func (cb KeyboardInteractiveChallenge) auth(session []byte, user string, c packe } } } + +type retryableAuthMethod struct { + authMethod AuthMethod + maxTries int +} + +func (r *retryableAuthMethod) auth(session []byte, user string, c packetConn, rand io.Reader) (ok bool, methods []string, err error) { + for i := 0; r.maxTries <= 0 || i < r.maxTries; i++ { + ok, methods, err = r.authMethod.auth(session, user, c, rand) + if ok || err != nil { // either success or error terminate + return ok, methods, err + } + } + return ok, methods, err +} + +func (r *retryableAuthMethod) method() string { + return r.authMethod.method() +} + +// RetryableAuthMethod is a decorator for other auth methods enabling them to +// be retried up to maxTries before considering that AuthMethod itself failed. +// If maxTries is <= 0, will retry indefinitely +// +// This is useful for interactive clients using challenge/response type +// authentication (e.g. Keyboard-Interactive, Password, etc) where the user +// could mistype their response resulting in the server issuing a +// SSH_MSG_USERAUTH_FAILURE (rfc4252 #8 [password] and rfc4256 #3.4 +// [keyboard-interactive]); Without this decorator, the non-retryable +// AuthMethod would be removed from future consideration, and never tried again +// (and so the user would never be able to retry their entry). +func RetryableAuthMethod(auth AuthMethod, maxTries int) AuthMethod { + return &retryableAuthMethod{authMethod: auth, maxTries: maxTries} +} diff --git a/vendor/golang.org/x/crypto/ssh/common.go b/vendor/golang.org/x/crypto/ssh/common.go index 9fc739e1d..2c72ab544 100644 --- a/vendor/golang.org/x/crypto/ssh/common.go +++ b/vendor/golang.org/x/crypto/ssh/common.go @@ -44,10 +44,12 @@ var supportedKexAlgos = []string{ // of authenticating servers) in preference order. var supportedHostKeyAlgos = []string{ CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, - CertAlgoECDSA384v01, CertAlgoECDSA521v01, + CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoED25519v01, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, KeyAlgoRSA, KeyAlgoDSA, + + KeyAlgoED25519, } // supportedMACs specifies a default set of MAC algorithms in preference order. diff --git a/vendor/golang.org/x/crypto/ssh/connection.go b/vendor/golang.org/x/crypto/ssh/connection.go index 979d919e8..e786f2f9a 100644 --- a/vendor/golang.org/x/crypto/ssh/connection.go +++ b/vendor/golang.org/x/crypto/ssh/connection.go @@ -23,7 +23,6 @@ func (e *OpenChannelError) Error() string { // ConnMetadata holds metadata for the connection. type ConnMetadata interface { // User returns the user ID for this connection. - // It is empty if no authentication is used. User() string // SessionID returns the sesson hash, also denoted by H. diff --git a/vendor/golang.org/x/crypto/ssh/doc.go b/vendor/golang.org/x/crypto/ssh/doc.go index a5ff8af6b..d6be89466 100644 --- a/vendor/golang.org/x/crypto/ssh/doc.go +++ b/vendor/golang.org/x/crypto/ssh/doc.go @@ -15,4 +15,4 @@ 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 */ -package ssh +package ssh // import "golang.org/x/crypto/ssh" diff --git a/vendor/golang.org/x/crypto/ssh/handshake.go b/vendor/golang.org/x/crypto/ssh/handshake.go index 1c54f7587..37d42e47f 100644 --- a/vendor/golang.org/x/crypto/ssh/handshake.go +++ b/vendor/golang.org/x/crypto/ssh/handshake.go @@ -29,25 +29,6 @@ type keyingTransport interface { // direction will be effected if a msgNewKeys message is sent // or received. prepareKeyChange(*algorithms, *kexResult) error - - // getSessionID returns the session ID. prepareKeyChange must - // have been called once. - getSessionID() []byte -} - -// rekeyingTransport is the interface of handshakeTransport that we -// (internally) expose to ClientConn and ServerConn. -type rekeyingTransport interface { - packetConn - - // requestKeyChange asks the remote side to change keys. All - // writes are blocked until the key change succeeds, which is - // signaled by reading a msgNewKeys. - requestKeyChange() error - - // getSessionID returns the session ID. This is only valid - // after the first key change has completed. - getSessionID() []byte } // handshakeTransport implements rekeying on top of a keyingTransport @@ -86,6 +67,9 @@ type handshakeTransport struct { sentInitMsg *kexInitMsg writtenSinceKex uint64 writeError error + + // The session ID or nil if first kex did not complete yet. + sessionID []byte } func newHandshakeTransport(conn keyingTransport, config *Config, clientVersion, serverVersion []byte) *handshakeTransport { @@ -122,7 +106,7 @@ func newServerTransport(conn keyingTransport, clientVersion, serverVersion []byt } func (t *handshakeTransport) getSessionID() []byte { - return t.conn.getSessionID() + return t.sessionID } func (t *handshakeTransport) id() string { @@ -177,15 +161,22 @@ func (t *handshakeTransport) readOnePacket() ([]byte, error) { t.readSinceKex += uint64(len(p)) if debugHandshake { - msg, err := decode(p) - log.Printf("%s got %T %v (%v)", t.id(), msg, msg, err) + if p[0] == msgChannelData || p[0] == msgChannelExtendedData { + log.Printf("%s got data (packet %d bytes)", t.id(), len(p)) + } else { + msg, err := decode(p) + log.Printf("%s got %T %v (%v)", t.id(), msg, msg, err) + } } if p[0] != msgKexInit { return p, nil } - err = t.enterKeyExchange(p) t.mu.Lock() + + firstKex := t.sessionID == nil + + err = t.enterKeyExchangeLocked(p) if err != nil { // drop connection t.conn.Close() @@ -193,7 +184,7 @@ func (t *handshakeTransport) readOnePacket() ([]byte, error) { } if debugHandshake { - log.Printf("%s exited key exchange, err %v", t.id(), err) + log.Printf("%s exited key exchange (first %v), err %v", t.id(), firstKex, err) } // Unblock writers. @@ -208,28 +199,69 @@ func (t *handshakeTransport) readOnePacket() ([]byte, error) { } t.readSinceKex = 0 - return []byte{msgNewKeys}, nil + + // By default, a key exchange is hidden from higher layers by + // translating it into msgIgnore. + successPacket := []byte{msgIgnore} + if firstKex { + // sendKexInit() for the first kex waits for + // msgNewKeys so the authentication process is + // guaranteed to happen over an encrypted transport. + successPacket = []byte{msgNewKeys} + } + + return successPacket, nil } +// keyChangeCategory describes whether a key exchange is the first on a +// connection, or a subsequent one. +type keyChangeCategory bool + +const ( + firstKeyExchange keyChangeCategory = true + subsequentKeyExchange keyChangeCategory = false +) + // sendKexInit sends a key change message, and returns the message // that was sent. After initiating the key change, all writes will be // blocked until the change is done, and a failed key change will // close the underlying transport. This function is safe for // concurrent use by multiple goroutines. -func (t *handshakeTransport) sendKexInit() (*kexInitMsg, []byte, error) { +func (t *handshakeTransport) sendKexInit(isFirst keyChangeCategory) error { + var err error + t.mu.Lock() - defer t.mu.Unlock() - return t.sendKexInitLocked() + // If this is the initial key change, but we already have a sessionID, + // then do nothing because the key exchange has already completed + // asynchronously. + if !isFirst || t.sessionID == nil { + _, _, err = t.sendKexInitLocked(isFirst) + } + t.mu.Unlock() + if err != nil { + return err + } + if isFirst { + if packet, err := t.readPacket(); err != nil { + return err + } else if packet[0] != msgNewKeys { + return unexpectedMessageError(msgNewKeys, packet[0]) + } + } + return nil +} + +func (t *handshakeTransport) requestInitialKeyChange() error { + return t.sendKexInit(firstKeyExchange) } func (t *handshakeTransport) requestKeyChange() error { - _, _, err := t.sendKexInit() - return err + return t.sendKexInit(subsequentKeyExchange) } // sendKexInitLocked sends a key change message. t.mu must be locked // while this happens. -func (t *handshakeTransport) sendKexInitLocked() (*kexInitMsg, []byte, error) { +func (t *handshakeTransport) sendKexInitLocked(isFirst keyChangeCategory) (*kexInitMsg, []byte, error) { // kexInits may be sent either in response to the other side, // or because our side wants to initiate a key change, so we // may have already sent a kexInit. In that case, don't send a @@ -237,6 +269,7 @@ func (t *handshakeTransport) sendKexInitLocked() (*kexInitMsg, []byte, error) { if t.sentInitMsg != nil { return t.sentInitMsg, t.sentInitPacket, nil } + msg := &kexInitMsg{ KexAlgos: t.config.KeyExchanges, CiphersClientServer: t.config.Ciphers, @@ -276,7 +309,7 @@ func (t *handshakeTransport) writePacket(p []byte) error { defer t.mu.Unlock() if t.writtenSinceKex > t.config.RekeyThreshold { - t.sendKexInitLocked() + t.sendKexInitLocked(subsequentKeyExchange) } for t.sentInitMsg != nil && t.writeError == nil { t.cond.Wait() @@ -300,12 +333,12 @@ func (t *handshakeTransport) Close() error { return t.conn.Close() } -// enterKeyExchange runs the key exchange. -func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { +// enterKeyExchange runs the key exchange. t.mu must be held while running this. +func (t *handshakeTransport) enterKeyExchangeLocked(otherInitPacket []byte) error { if debugHandshake { log.Printf("%s entered key exchange", t.id()) } - myInit, myInitPacket, err := t.sendKexInit() + myInit, myInitPacket, err := t.sendKexInitLocked(subsequentKeyExchange) if err != nil { return err } @@ -338,7 +371,16 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { } // We don't send FirstKexFollows, but we handle receiving it. - if otherInit.FirstKexFollows && algs.kex != otherInit.KexAlgos[0] { + // + // RFC 4253 section 7 defines the kex and the agreement method for + // first_kex_packet_follows. It states that the guessed packet + // should be ignored if the "kex algorithm and/or the host + // key algorithm is guessed wrong (server and client have + // different preferred algorithm), or if any of the other + // algorithms cannot be agreed upon". The other algorithms have + // already been checked above so the kex algorithm and host key + // algorithm are checked here. + if otherInit.FirstKexFollows && (clientInit.KexAlgos[0] != serverInit.KexAlgos[0] || clientInit.ServerHostKeyAlgos[0] != serverInit.ServerHostKeyAlgos[0]) { // other side sent a kex message for the wrong algorithm, // which we have to ignore. if _, err := t.conn.readPacket(); err != nil { @@ -362,6 +404,11 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { return err } + if t.sessionID == nil { + t.sessionID = result.H + } + result.SessionID = t.sessionID + t.conn.prepareKeyChange(algs, result) if err = t.conn.writePacket([]byte{msgNewKeys}); err != nil { return err @@ -371,6 +418,7 @@ func (t *handshakeTransport) enterKeyExchange(otherInitPacket []byte) error { } else if packet[0] != msgNewKeys { return unexpectedMessageError(msgNewKeys, packet[0]) } + return nil } diff --git a/vendor/golang.org/x/crypto/ssh/kex.go b/vendor/golang.org/x/crypto/ssh/kex.go index 3ec603c0a..c87fbebfd 100644 --- a/vendor/golang.org/x/crypto/ssh/kex.go +++ b/vendor/golang.org/x/crypto/ssh/kex.go @@ -46,7 +46,7 @@ type kexResult struct { Hash crypto.Hash // The session ID, which is the first H computed. This is used - // to signal data inside transport. + // to derive key material inside the transport. SessionID []byte } @@ -77,11 +77,11 @@ type kexAlgorithm interface { // dhGroup is a multiplicative group suitable for implementing Diffie-Hellman key agreement. type dhGroup struct { - g, p *big.Int + g, p, pMinus1 *big.Int } func (group *dhGroup) diffieHellman(theirPublic, myPrivate *big.Int) (*big.Int, error) { - if theirPublic.Sign() <= 0 || theirPublic.Cmp(group.p) >= 0 { + if theirPublic.Cmp(bigOne) <= 0 || theirPublic.Cmp(group.pMinus1) >= 0 { return nil, errors.New("ssh: DH parameter out of bounds") } return new(big.Int).Exp(theirPublic, myPrivate, group.p), nil @@ -90,10 +90,17 @@ 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 - x, err := rand.Int(randSource, group.p) - if err != nil { - return nil, err + var x *big.Int + for { + var err error + if x, err = rand.Int(randSource, group.pMinus1); err != nil { + return nil, err + } + if x.Sign() > 0 { + break + } } + X := new(big.Int).Exp(group.g, x, group.p) kexDHInit := kexDHInitMsg{ X: X, @@ -146,9 +153,14 @@ func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handsha return } - y, err := rand.Int(randSource, group.p) - if err != nil { - return + var y *big.Int + for { + if y, err = rand.Int(randSource, group.pMinus1); err != nil { + return + } + if y.Sign() > 0 { + break + } } Y := new(big.Int).Exp(group.g, y, group.p) @@ -373,6 +385,7 @@ func init() { kexAlgoMap[kexAlgoDH1SHA1] = &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 @@ -382,6 +395,7 @@ func init() { kexAlgoMap[kexAlgoDH14SHA1] = &dhGroup{ g: new(big.Int).SetInt64(2), p: p, + pMinus1: new(big.Int).Sub(p, bigOne), } kexAlgoMap[kexAlgoECDH521] = &ecdh{elliptic.P521()} diff --git a/vendor/golang.org/x/crypto/ssh/keys.go b/vendor/golang.org/x/crypto/ssh/keys.go index cfc970b2c..f2fc9b6c9 100644 --- a/vendor/golang.org/x/crypto/ssh/keys.go +++ b/vendor/golang.org/x/crypto/ssh/keys.go @@ -20,6 +20,8 @@ import ( "io" "math/big" "strings" + + "golang.org/x/crypto/ed25519" ) // These constants represent the algorithm names for key types supported by this @@ -30,6 +32,7 @@ const ( KeyAlgoECDSA256 = "ecdsa-sha2-nistp256" KeyAlgoECDSA384 = "ecdsa-sha2-nistp384" KeyAlgoECDSA521 = "ecdsa-sha2-nistp521" + KeyAlgoED25519 = "ssh-ed25519" ) // parsePubKey parses a public key of the given algorithm. @@ -42,14 +45,16 @@ func parsePubKey(in []byte, algo string) (pubKey PublicKey, rest []byte, err err return parseDSA(in) case KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521: return parseECDSA(in) - case CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01: + case KeyAlgoED25519: + return parseED25519(in) + case CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01, CertAlgoED25519v01: cert, err := parseCert(in, certToPrivAlgo(algo)) if err != nil { return nil, nil, err } return cert, nil, nil } - return nil, nil, fmt.Errorf("ssh: unknown key algorithm: %v", err) + return nil, nil, fmt.Errorf("ssh: unknown key algorithm: %v", algo) } // parseAuthorizedKey parses a public key in OpenSSH authorized_keys format @@ -120,7 +125,7 @@ func ParseKnownHosts(in []byte) (marker string, hosts []string, pubKey PublicKey continue } - // Strip out the begining of the known_host key. + // Strip out the beginning of the known_host key. // This is either an optional marker or a (set of) hostname(s). keyFields := bytes.Fields(in) if len(keyFields) < 3 || len(keyFields) > 5 { @@ -276,6 +281,12 @@ type PublicKey interface { Verify(data []byte, sig *Signature) error } +// CryptoPublicKey, if implemented by a PublicKey, +// returns the underlying crypto.PublicKey form of the key. +type CryptoPublicKey interface { + CryptoPublicKey() crypto.PublicKey +} + // A Signer can create signatures that verify against a public key. type Signer interface { // PublicKey returns an associated PublicKey instance. @@ -319,6 +330,8 @@ func parseRSA(in []byte) (out PublicKey, rest []byte, err error) { func (r *rsaPublicKey) Marshal() []byte { e := new(big.Int).SetInt64(int64(r.E)) + // RSA publickey struct layout should match the struct used by + // parseRSACert in the x/crypto/ssh/agent package. wirekey := struct { Name string E *big.Int @@ -341,6 +354,10 @@ func (r *rsaPublicKey) Verify(data []byte, sig *Signature) error { return rsa.VerifyPKCS1v15((*rsa.PublicKey)(r), crypto.SHA1, digest, sig.Blob) } +func (r *rsaPublicKey) CryptoPublicKey() crypto.PublicKey { + return (*rsa.PublicKey)(r) +} + type dsaPublicKey dsa.PublicKey func (r *dsaPublicKey) Type() string { @@ -369,6 +386,8 @@ func parseDSA(in []byte) (out PublicKey, rest []byte, err error) { } func (k *dsaPublicKey) Marshal() []byte { + // DSA publickey struct layout should match the struct used by + // parseDSACert in the x/crypto/ssh/agent package. w := struct { Name string P, Q, G, Y *big.Int @@ -407,6 +426,10 @@ func (k *dsaPublicKey) Verify(data []byte, sig *Signature) error { return errors.New("ssh: signature did not verify") } +func (k *dsaPublicKey) CryptoPublicKey() crypto.PublicKey { + return (*dsa.PublicKey)(k) +} + type dsaPrivateKey struct { *dsa.PrivateKey } @@ -455,6 +478,55 @@ func (key *ecdsaPublicKey) nistID() string { panic("ssh: unsupported ecdsa key size") } +type ed25519PublicKey ed25519.PublicKey + +func (key ed25519PublicKey) Type() string { + return KeyAlgoED25519 +} + +func parseED25519(in []byte) (out PublicKey, rest []byte, err error) { + var w struct { + KeyBytes []byte + Rest []byte `ssh:"rest"` + } + + if err := Unmarshal(in, &w); err != nil { + return nil, nil, err + } + + key := ed25519.PublicKey(w.KeyBytes) + + return (ed25519PublicKey)(key), w.Rest, nil +} + +func (key ed25519PublicKey) Marshal() []byte { + w := struct { + Name string + KeyBytes []byte + }{ + KeyAlgoED25519, + []byte(key), + } + return Marshal(&w) +} + +func (key ed25519PublicKey) Verify(b []byte, sig *Signature) error { + if sig.Format != key.Type() { + return fmt.Errorf("ssh: signature type %s for key type %s", sig.Format, key.Type()) + } + + edKey := (ed25519.PublicKey)(key) + if ok := ed25519.Verify(edKey, b, sig.Blob); !ok { + return errors.New("ssh: signature did not verify") + } + + return nil +} + +func (k ed25519PublicKey) CryptoPublicKey() crypto.PublicKey { + return ed25519.PublicKey(k) +} + func supportedEllipticCurve(curve elliptic.Curve) bool { return curve == elliptic.P256() || curve == elliptic.P384() || curve == elliptic.P521() } @@ -507,6 +579,8 @@ func parseECDSA(in []byte) (out PublicKey, rest []byte, err error) { func (key *ecdsaPublicKey) Marshal() []byte { // See RFC 5656, section 3.1. keyBytes := elliptic.Marshal(key.Curve, key.X, key.Y) + // ECDSA publickey struct layout should match the struct used by + // parseECDSACert in the x/crypto/ssh/agent package. w := struct { Name string ID string @@ -548,6 +622,10 @@ func (key *ecdsaPublicKey) Verify(data []byte, sig *Signature) error { return errors.New("ssh: signature did not verify") } +func (k *ecdsaPublicKey) CryptoPublicKey() crypto.PublicKey { + return (*ecdsa.PublicKey)(k) +} + // NewSignerFromKey takes an *rsa.PrivateKey, *dsa.PrivateKey, // *ecdsa.PrivateKey or any other crypto.Signer and returns a corresponding // Signer instance. ECDSA keys must use P-256, P-384 or P-521. @@ -591,13 +669,19 @@ func (s *wrappedSigner) Sign(rand io.Reader, data []byte) (*Signature, error) { hashFunc = crypto.SHA1 case *ecdsaPublicKey: hashFunc = ecHash(key.Curve) + case ed25519PublicKey: default: return nil, fmt.Errorf("ssh: unsupported key type %T", key) } - h := hashFunc.New() - h.Write(data) - digest := h.Sum(nil) + var digest []byte + if hashFunc != 0 { + h := hashFunc.New() + h.Write(data) + digest = h.Sum(nil) + } else { + digest = data + } signature, err := s.signer.Sign(rand, digest, hashFunc) if err != nil { @@ -637,9 +721,9 @@ func (s *wrappedSigner) Sign(rand io.Reader, data []byte) (*Signature, error) { }, nil } -// NewPublicKey takes an *rsa.PublicKey, *dsa.PublicKey, *ecdsa.PublicKey or -// any other crypto.Signer and returns a corresponding Signer instance. ECDSA -// keys must use P-256, P-384 or P-521. +// NewPublicKey takes an *rsa.PublicKey, *dsa.PublicKey, *ecdsa.PublicKey, +// or ed25519.PublicKey returns a corresponding PublicKey instance. +// ECDSA keys must use P-256, P-384 or P-521. func NewPublicKey(key interface{}) (PublicKey, error) { switch key := key.(type) { case *rsa.PublicKey: @@ -651,6 +735,8 @@ func NewPublicKey(key interface{}) (PublicKey, error) { return (*ecdsaPublicKey)(key), nil case *dsa.PublicKey: return (*dsaPublicKey)(key), nil + case ed25519.PublicKey: + return (ed25519PublicKey)(key), nil default: return nil, fmt.Errorf("ssh: unsupported key type %T", key) } @@ -667,6 +753,14 @@ func ParsePrivateKey(pemBytes []byte) (Signer, error) { return NewSignerFromKey(key) } +// encryptedBlock tells whether a private key is +// encrypted by examining its Proc-Type header +// for a mention of ENCRYPTED +// according to RFC 1421 Section 4.6.1.1. +func encryptedBlock(block *pem.Block) bool { + return strings.Contains(block.Headers["Proc-Type"], "ENCRYPTED") +} + // ParseRawPrivateKey returns a private key from a PEM encoded private key. It // supports RSA (PKCS#1), DSA (OpenSSL), and ECDSA private keys. func ParseRawPrivateKey(pemBytes []byte) (interface{}, error) { @@ -675,6 +769,10 @@ func ParseRawPrivateKey(pemBytes []byte) (interface{}, error) { return nil, errors.New("ssh: no key found") } + if encryptedBlock(block) { + return nil, errors.New("ssh: cannot decode encrypted private keys") + } + switch block.Type { case "RSA PRIVATE KEY": return x509.ParsePKCS1PrivateKey(block.Bytes) @@ -682,6 +780,8 @@ func ParseRawPrivateKey(pemBytes []byte) (interface{}, error) { return x509.ParseECPrivateKey(block.Bytes) case "DSA PRIVATE KEY": return ParseDSAPrivateKey(block.Bytes) + case "OPENSSH PRIVATE KEY": + return parseOpenSSHPrivateKey(block.Bytes) default: return nil, fmt.Errorf("ssh: unsupported key type %q", block.Type) } @@ -718,3 +818,63 @@ func ParseDSAPrivateKey(der []byte) (*dsa.PrivateKey, error) { X: k.Pub, }, nil } + +// Implemented based on the documentation at +// https://github.com/openssh/openssh-portable/blob/master/PROTOCOL.key +func parseOpenSSHPrivateKey(key []byte) (*ed25519.PrivateKey, error) { + magic := append([]byte("openssh-key-v1"), 0) + if !bytes.Equal(magic, key[0:len(magic)]) { + return nil, errors.New("ssh: invalid openssh private key format") + } + remaining := key[len(magic):] + + var w struct { + CipherName string + KdfName string + KdfOpts string + NumKeys uint32 + PubKey []byte + PrivKeyBlock []byte + } + + if err := Unmarshal(remaining, &w); err != nil { + return nil, err + } + + pk1 := struct { + Check1 uint32 + Check2 uint32 + Keytype string + Pub []byte + Priv []byte + Comment string + Pad []byte `ssh:"rest"` + }{} + + if err := Unmarshal(w.PrivKeyBlock, &pk1); err != nil { + return nil, err + } + + if pk1.Check1 != pk1.Check2 { + return nil, errors.New("ssh: checkint mismatch") + } + + // we only handle ed25519 keys currently + if pk1.Keytype != KeyAlgoED25519 { + return nil, errors.New("ssh: unhandled key type") + } + + for i, b := range pk1.Pad { + if int(b) != i+1 { + return nil, errors.New("ssh: padding not as expected") + } + } + + if len(pk1.Priv) != ed25519.PrivateKeySize { + return nil, errors.New("ssh: private key unexpected length") + } + + pk := ed25519.PrivateKey(make([]byte, ed25519.PrivateKeySize)) + copy(pk, pk1.Priv) + return &pk, nil +} diff --git a/vendor/golang.org/x/crypto/ssh/messages.go b/vendor/golang.org/x/crypto/ssh/messages.go index eaf610669..e6ecd3afa 100644 --- a/vendor/golang.org/x/crypto/ssh/messages.go +++ b/vendor/golang.org/x/crypto/ssh/messages.go @@ -13,6 +13,7 @@ import ( "math/big" "reflect" "strconv" + "strings" ) // These are SSH message type numbers. They are scattered around several @@ -47,7 +48,7 @@ type disconnectMsg struct { } func (d *disconnectMsg) Error() string { - return fmt.Sprintf("ssh: disconnect reason %d: %s", d.Reason, d.Message) + return fmt.Sprintf("ssh: disconnect, reason %d: %s", d.Reason, d.Message) } // See RFC 4253, section 7.1. @@ -124,6 +125,10 @@ type userAuthRequestMsg struct { Payload []byte `ssh:"rest"` } +// Used for debug printouts of packets. +type userAuthSuccessMsg struct { +} + // See RFC 4252, section 5.1 const msgUserAuthFailure = 51 @@ -158,6 +163,13 @@ type channelOpenMsg struct { const msgChannelExtendedData = 95 const msgChannelData = 94 +// Used for debug print outs of packets. +type channelDataMsg struct { + PeersId uint32 `sshtype:"94"` + Length uint32 + Rest []byte `ssh:"rest"` +} + // See RFC 4254, section 5.1. const msgChannelOpenConfirm = 91 @@ -255,17 +267,19 @@ type userAuthPubKeyOkMsg struct { PubKey []byte } -// typeTag returns the type byte for the given type. The type should -// be struct. -func typeTag(structType reflect.Type) byte { - var tag byte - var tagStr string - tagStr = structType.Field(0).Tag.Get("sshtype") - i, err := strconv.Atoi(tagStr) - if err == nil { - tag = byte(i) +// typeTags returns the possible type bytes for the given reflect.Type, which +// should be a struct. The possible values are separated by a '|' character. +func typeTags(structType reflect.Type) (tags []byte) { + tagStr := structType.Field(0).Tag.Get("sshtype") + + for _, tag := range strings.Split(tagStr, "|") { + i, err := strconv.Atoi(tag) + if err == nil { + tags = append(tags, byte(i)) + } } - return tag + + return tags } func fieldError(t reflect.Type, field int, problem string) error { @@ -279,19 +293,34 @@ var errShortRead = errors.New("ssh: short read") // Unmarshal parses data in SSH wire format into a structure. The out // argument should be a pointer to struct. If the first member of the -// struct has the "sshtype" tag set to a number in decimal, the packet -// must start that number. In case of error, Unmarshal returns a -// ParseError or UnexpectedMessageError. +// struct has the "sshtype" tag set to a '|'-separated set of numbers +// in decimal, the packet must start with one of those numbers. In +// case of error, Unmarshal returns a ParseError or +// UnexpectedMessageError. func Unmarshal(data []byte, out interface{}) error { v := reflect.ValueOf(out).Elem() structType := v.Type() - expectedType := typeTag(structType) + expectedTypes := typeTags(structType) + + var expectedType byte + if len(expectedTypes) > 0 { + expectedType = expectedTypes[0] + } + if len(data) == 0 { return parseError(expectedType) } - if expectedType > 0 { - if data[0] != expectedType { - return unexpectedMessageError(expectedType, data[0]) + + if len(expectedTypes) > 0 { + goodType := false + for _, e := range expectedTypes { + if e > 0 && data[0] == e { + goodType = true + break + } + } + if !goodType { + return fmt.Errorf("ssh: unexpected message type %d (expected one of %v)", data[0], expectedTypes) } data = data[1:] } @@ -375,7 +404,7 @@ func Unmarshal(data []byte, out interface{}) error { return fieldError(structType, i, "pointer to unsupported type") } default: - return fieldError(structType, i, "unsupported type") + return fieldError(structType, i, fmt.Sprintf("unsupported type: %v", t)) } } @@ -398,9 +427,9 @@ func Marshal(msg interface{}) []byte { func marshalStruct(out []byte, msg interface{}) []byte { v := reflect.Indirect(reflect.ValueOf(msg)) - msgType := typeTag(v.Type()) - if msgType > 0 { - out = append(out, msgType) + msgTypes := typeTags(v.Type()) + if len(msgTypes) > 0 { + out = append(out, msgTypes[0]) } for i, n := 0, v.NumField(); i < n; i++ { @@ -687,6 +716,8 @@ func decode(packet []byte) (interface{}, error) { msg = new(kexDHReplyMsg) case msgUserAuthRequest: msg = new(userAuthRequestMsg) + case msgUserAuthSuccess: + return new(userAuthSuccessMsg), nil case msgUserAuthFailure: msg = new(userAuthFailureMsg) case msgUserAuthPubKeyOk: @@ -699,6 +730,8 @@ func decode(packet []byte) (interface{}, error) { msg = new(globalRequestFailureMsg) case msgChannelOpen: msg = new(channelOpenMsg) + case msgChannelData: + msg = new(channelDataMsg) case msgChannelOpenConfirm: msg = new(channelOpenConfirmMsg) case msgChannelOpenFailure: diff --git a/vendor/golang.org/x/crypto/ssh/mux.go b/vendor/golang.org/x/crypto/ssh/mux.go index 321880ad9..f3a3ddd78 100644 --- a/vendor/golang.org/x/crypto/ssh/mux.go +++ b/vendor/golang.org/x/crypto/ssh/mux.go @@ -131,6 +131,9 @@ func newMux(p packetConn) *mux { func (m *mux) sendMessage(msg interface{}) error { p := Marshal(msg) + if debugMux { + log.Printf("send global(%d): %#v", m.chanList.offset, msg) + } return m.conn.writePacket(p) } @@ -175,18 +178,6 @@ func (m *mux) ackRequest(ok bool, data []byte) error { return m.sendMessage(globalRequestFailureMsg{Data: data}) } -// TODO(hanwen): Disconnect is a transport layer message. We should -// probably send and receive Disconnect somewhere in the transport -// code. - -// Disconnect sends a disconnect message. -func (m *mux) Disconnect(reason uint32, message string) error { - return m.sendMessage(disconnectMsg{ - Reason: reason, - Message: message, - }) -} - func (m *mux) Close() error { return m.conn.Close() } @@ -236,11 +227,6 @@ func (m *mux) onePacket() error { } switch packet[0] { - case msgNewKeys: - // Ignore notification of key change. - return nil - case msgDisconnect: - return m.handleDisconnect(packet) case msgChannelOpen: return m.handleChannelOpen(packet) case msgGlobalRequest, msgRequestSuccess, msgRequestFailure: @@ -260,18 +246,6 @@ func (m *mux) onePacket() error { return ch.handlePacket(packet) } -func (m *mux) handleDisconnect(packet []byte) error { - var d disconnectMsg - if err := Unmarshal(packet, &d); err != nil { - return err - } - - if debugMux { - log.Printf("caught disconnect: %v", d) - } - return &d -} - func (m *mux) handleGlobalPacket(packet []byte) error { msg, err := decode(packet) if err != nil { diff --git a/vendor/golang.org/x/crypto/ssh/server.go b/vendor/golang.org/x/crypto/ssh/server.go index 4781eb780..37df1b302 100644 --- a/vendor/golang.org/x/crypto/ssh/server.go +++ b/vendor/golang.org/x/crypto/ssh/server.go @@ -188,16 +188,10 @@ func (s *connection) serverHandshake(config *ServerConfig) (*Permissions, error) tr := newTransport(s.sshConn.conn, config.Rand, false /* not client */) s.transport = newServerTransport(tr, s.clientVersion, s.serverVersion, config) - if err := s.transport.requestKeyChange(); err != nil { + if err := s.transport.requestInitialKeyChange(); err != nil { return nil, err } - if packet, err := s.transport.readPacket(); err != nil { - return nil, err - } else if packet[0] != msgNewKeys { - return nil, unexpectedMessageError(msgNewKeys, packet[0]) - } - // We just did the key change, so the session ID is established. s.sessionID = s.transport.getSessionID() @@ -230,7 +224,7 @@ func (s *connection) serverHandshake(config *ServerConfig) (*Permissions, error) func isAcceptableAlgo(algo string) bool { switch algo { - case KeyAlgoRSA, KeyAlgoDSA, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, + case KeyAlgoRSA, KeyAlgoDSA, KeyAlgoECDSA256, KeyAlgoECDSA384, KeyAlgoECDSA521, KeyAlgoED25519, CertAlgoRSAv01, CertAlgoDSAv01, CertAlgoECDSA256v01, CertAlgoECDSA384v01, CertAlgoECDSA521v01: return true } @@ -290,7 +284,6 @@ userAuthLoop: switch userAuthReq.Method { case "none": if config.NoClientAuth { - s.user = "" authErr = nil } case "password": diff --git a/vendor/golang.org/x/crypto/ssh/session.go b/vendor/golang.org/x/crypto/ssh/session.go index fd10cd1aa..17e2aa85c 100644 --- a/vendor/golang.org/x/crypto/ssh/session.go +++ b/vendor/golang.org/x/crypto/ssh/session.go @@ -9,6 +9,7 @@ package ssh import ( "bytes" + "encoding/binary" "errors" "fmt" "io" @@ -281,9 +282,10 @@ func (s *Session) Start(cmd string) error { // copying stdin, stdout, and stderr, and exits with a zero exit // status. // -// If the command fails to run or doesn't complete successfully, the -// error is of type *ExitError. Other error types may be -// returned for I/O problems. +// If the remote server does not send an exit status, an error of type +// *ExitMissingError is returned. If the command completes +// unsuccessfully or is interrupted by a signal, the error is of type +// *ExitError. Other error types may be returned for I/O problems. func (s *Session) Run(cmd string) error { err := s.Start(cmd) if err != nil { @@ -370,9 +372,10 @@ func (s *Session) start() error { // copying stdin, stdout, and stderr, and exits with a zero exit // status. // -// If the command fails to run or doesn't complete successfully, the -// error is of type *ExitError. Other error types may be -// returned for I/O problems. +// If the remote server does not send an exit status, an error of type +// *ExitMissingError is returned. If the command completes +// unsuccessfully or is interrupted by a signal, the error is of type +// *ExitError. Other error types may be returned for I/O problems. func (s *Session) Wait() error { if !s.started { return errors.New("ssh: session not started") @@ -400,8 +403,7 @@ func (s *Session) wait(reqs <-chan *Request) error { for msg := range reqs { switch msg.Type { case "exit-status": - d := msg.Payload - wm.status = int(d[0])<<24 | int(d[1])<<16 | int(d[2])<<8 | int(d[3]) + wm.status = int(binary.BigEndian.Uint32(msg.Payload)) case "exit-signal": var sigval struct { Signal string @@ -431,16 +433,29 @@ func (s *Session) wait(reqs <-chan *Request) error { if wm.status == -1 { // exit-status was never sent from server if wm.signal == "" { - return errors.New("wait: remote command exited without exit status or exit signal") + // signal was not sent either. RFC 4254 + // section 6.10 recommends against this + // behavior, but it is allowed, so we let + // clients handle it. + return &ExitMissingError{} } wm.status = 128 if _, ok := signals[Signal(wm.signal)]; ok { wm.status += signals[Signal(wm.signal)] } } + return &ExitError{wm} } +// ExitMissingError is returned if a session is torn down cleanly, but +// the server sends no confirmation of the exit status. +type ExitMissingError struct{} + +func (e *ExitMissingError) Error() string { + return "wait: remote command exited without exit status or exit signal" +} + func (s *Session) stdin() { if s.stdinpipe { return @@ -601,5 +616,12 @@ func (w Waitmsg) Lang() string { } func (w Waitmsg) String() string { - return fmt.Sprintf("Process exited with: %v. Reason was: %v (%v)", w.status, w.msg, w.signal) + str := fmt.Sprintf("Process exited with status %v", w.status) + if w.signal != "" { + str += fmt.Sprintf(" from signal %v", w.signal) + } + if w.msg != "" { + str += fmt.Sprintf(". Reason was: %v", w.msg) + } + return str } diff --git a/vendor/golang.org/x/crypto/ssh/transport.go b/vendor/golang.org/x/crypto/ssh/transport.go index 8351d378e..62fba629e 100644 --- a/vendor/golang.org/x/crypto/ssh/transport.go +++ b/vendor/golang.org/x/crypto/ssh/transport.go @@ -11,8 +11,9 @@ import ( ) const ( - gcmCipherID = "aes128-gcm@openssh.com" - aes128cbcID = "aes128-cbc" + gcmCipherID = "aes128-gcm@openssh.com" + aes128cbcID = "aes128-cbc" + tripledescbcID = "3des-cbc" ) // packetConn represents a transport that implements packet based @@ -39,19 +40,6 @@ type transport struct { rand io.Reader io.Closer - - // Initial H used for the session ID. Once assigned this does - // not change, even during subsequent key exchanges. - sessionID []byte -} - -// getSessionID returns the ID of the SSH connection. The return value -// should not be modified. -func (t *transport) getSessionID() []byte { - if t.sessionID == nil { - panic("session ID not set yet") - } - return t.sessionID } // packetCipher represents a combination of SSH encryption/MAC @@ -81,12 +69,6 @@ type connectionState struct { // both directions are triggered by reading and writing a msgNewKey packet // respectively. func (t *transport) prepareKeyChange(algs *algorithms, kexResult *kexResult) error { - if t.sessionID == nil { - t.sessionID = kexResult.H - } - - kexResult.SessionID = t.sessionID - if ciph, err := newPacketCipher(t.reader.dir, algs.r, kexResult); err != nil { return err } else { @@ -114,12 +96,27 @@ func (s *connectionState) readPacket(r *bufio.Reader) ([]byte, error) { err = errors.New("ssh: zero length packet") } - if len(packet) > 0 && packet[0] == msgNewKeys { - select { - case cipher := <-s.pendingKeyChange: - s.packetCipher = cipher - default: - return nil, errors.New("ssh: got bogus newkeys message.") + if len(packet) > 0 { + switch packet[0] { + case msgNewKeys: + select { + case cipher := <-s.pendingKeyChange: + s.packetCipher = cipher + default: + return nil, errors.New("ssh: got bogus newkeys message.") + } + + case msgDisconnect: + // Transform a disconnect message into an + // error. Since this is lowest level at which + // we interpret message types, doing it here + // ensures that we don't have to handle it + // elsewhere. + var msg disconnectMsg + if err := Unmarshal(packet, &msg); err != nil { + return nil, err + } + return nil, &msg } } @@ -223,6 +220,10 @@ func newPacketCipher(d direction, algs directionAlgorithms, kex *kexResult) (pac return newAESCBCCipher(iv, key, macKey, algs) } + if algs.Cipher == tripledescbcID { + return newTripleDESCBCCipher(iv, key, macKey, algs) + } + c := &streamPacketCipher{ mac: macModes[algs.MAC].new(macKey), } diff --git a/vendor/vendor.json b/vendor/vendor.json index a8563ce42..760c52ee4 100644 --- a/vendor/vendor.json +++ b/vendor/vendor.json @@ -2169,16 +2169,46 @@ "revisionTime": "2016-10-04T18:54:04Z" }, { + "checksumSHA1": "9x64JhJGo6z8TS0Q33cGcR64kjA=", "path": "golang.org/x/crypto/curve25519", - "revision": "1f22c0103821b9390939b6776727195525381532" + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" }, { + "checksumSHA1": "wGb//LjBPNxYHqk+dcLo7BjPXK8=", + "path": "golang.org/x/crypto/ed25519", + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" + }, + { + "checksumSHA1": "LXFcVx8I587SnWmKycSDEq9yvK8=", + "path": "golang.org/x/crypto/ed25519/internal/edwards25519", + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" + }, + { + "checksumSHA1": "KeaQhXgb4KlZWJM7aIgcJwCKNOg=", + "path": "golang.org/x/crypto/pkcs12", + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" + }, + { + "checksumSHA1": "iVJcif9M9uefvvqHCNR9VQrjc/s=", + "path": "golang.org/x/crypto/pkcs12/internal/rc2", + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" + }, + { + "checksumSHA1": "LlElMHeTC34ng8eHzjvtUhAgrr8=", "path": "golang.org/x/crypto/ssh", - "revision": "1f22c0103821b9390939b6776727195525381532" + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" }, { + "checksumSHA1": "SJ3Ma3Ozavxpbh1usZWBCnzMKIc=", "path": "golang.org/x/crypto/ssh/agent", - "revision": "1f22c0103821b9390939b6776727195525381532" + "revision": "ca7e7f10cb9fd9c1a6ff7f60436c086d73714180", + "revisionTime": "2016-10-25T12:52:55Z" }, { "path": "golang.org/x/net/context",