diff --git a/contrib/backends/srndv2/src/srnd/util.go b/contrib/backends/srndv2/src/srnd/util.go index abd22e6..81d4629 100644 --- a/contrib/backends/srndv2/src/srnd/util.go +++ b/contrib/backends/srndv2/src/srnd/util.go @@ -12,6 +12,8 @@ import ( "encoding/hex" "fmt" "github.com/majestrate/nacl" + "golang.org/x/crypto/curve25519" + "golang.org/x/crypto/ed25519" "io" "log" "net" @@ -400,9 +402,22 @@ func cryptoSign(h, sk []byte) string { return hexify(sig) } +// convert seed to secret key +func seedToSecretNew(seed []byte) (full ed25519.PrivateKey) { + var out [32]byte + var in [32]byte + copy(in[:], seed[0:32]) + curve25519.ScalarBaseMult(&out, &in) + copy(full[:], in[:]) + copy(full[:32], out[:]) + return +} + func cryptoSignNew(h, sk []byte) string { + // convert key + key := seedToSecretNew(sk) // sign - sig := nacl.CryptoSignDetached(h, sk) + sig := ed25519.Sign(key, h) if sig == nil { return "[failed to sign]" } diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.h b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.h new file mode 100644 index 0000000..b3f7416 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.h @@ -0,0 +1,8 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +#define REDMASK51 0x0007FFFFFFFFFFFF diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.s new file mode 100644 index 0000000..ee7b4bd --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/const_amd64.s @@ -0,0 +1,20 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +// +build amd64,!gccgo,!appengine + +// These constants cannot be encoded in non-MOVQ immediates. +// We access them directly from memory instead. + +DATA ·_121666_213(SB)/8, $996687872 +GLOBL ·_121666_213(SB), 8, $8 + +DATA ·_2P0(SB)/8, $0xFFFFFFFFFFFDA +GLOBL ·_2P0(SB), 8, $8 + +DATA ·_2P1234(SB)/8, $0xFFFFFFFFFFFFE +GLOBL ·_2P1234(SB), 8, $8 diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s new file mode 100644 index 0000000..cd793a5 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/cswap_amd64.s @@ -0,0 +1,65 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!gccgo,!appengine + +// func cswap(inout *[4][5]uint64, v uint64) +TEXT ·cswap(SB),7,$0 + MOVQ inout+0(FP),DI + MOVQ v+8(FP),SI + + SUBQ $1, SI + NOTQ SI + MOVQ SI, X15 + PSHUFD $0x44, X15, X15 + + MOVOU 0(DI), X0 + MOVOU 16(DI), X2 + MOVOU 32(DI), X4 + MOVOU 48(DI), X6 + MOVOU 64(DI), X8 + MOVOU 80(DI), X1 + MOVOU 96(DI), X3 + MOVOU 112(DI), X5 + MOVOU 128(DI), X7 + MOVOU 144(DI), X9 + + MOVO X1, X10 + MOVO X3, X11 + MOVO X5, X12 + MOVO X7, X13 + MOVO X9, X14 + + PXOR X0, X10 + PXOR X2, X11 + PXOR X4, X12 + PXOR X6, X13 + PXOR X8, X14 + PAND X15, X10 + PAND X15, X11 + PAND X15, X12 + PAND X15, X13 + PAND X15, X14 + PXOR X10, X0 + PXOR X10, X1 + PXOR X11, X2 + PXOR X11, X3 + PXOR X12, X4 + PXOR X12, X5 + PXOR X13, X6 + PXOR X13, X7 + PXOR X14, X8 + PXOR X14, X9 + + MOVOU X0, 0(DI) + MOVOU X2, 16(DI) + MOVOU X4, 32(DI) + MOVOU X6, 48(DI) + MOVOU X8, 64(DI) + MOVOU X1, 80(DI) + MOVOU X3, 96(DI) + MOVOU X5, 112(DI) + MOVOU X7, 128(DI) + MOVOU X9, 144(DI) + RET diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519.go new file mode 100644 index 0000000..2d14c2a --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519.go @@ -0,0 +1,834 @@ +// 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 + +import ( + "encoding/binary" +) + +// This code is a port of the public domain, "ref10" implementation of +// curve25519 from SUPERCOP 20130419 by D. J. Bernstein. + +// fieldElement represents an element of the field GF(2^255 - 19). An element +// t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 +// t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on +// context. +type fieldElement [10]int32 + +func feZero(fe *fieldElement) { + for i := range fe { + fe[i] = 0 + } +} + +func feOne(fe *fieldElement) { + feZero(fe) + fe[0] = 1 +} + +func feAdd(dst, a, b *fieldElement) { + for i := range dst { + dst[i] = a[i] + b[i] + } +} + +func feSub(dst, a, b *fieldElement) { + for i := range dst { + dst[i] = a[i] - b[i] + } +} + +func feCopy(dst, src *fieldElement) { + for i := range dst { + dst[i] = src[i] + } +} + +// feCSwap replaces (f,g) with (g,f) if b == 1; replaces (f,g) with (f,g) if b == 0. +// +// Preconditions: b in {0,1}. +func feCSwap(f, g *fieldElement, b int32) { + b = -b + for i := range f { + t := b & (f[i] ^ g[i]) + f[i] ^= t + g[i] ^= t + } +} + +// load3 reads a 24-bit, little-endian value from in. +func load3(in []byte) int64 { + var r int64 + r = int64(in[0]) + r |= int64(in[1]) << 8 + r |= int64(in[2]) << 16 + return r +} + +// load4 reads a 32-bit, little-endian value from in. +func load4(in []byte) int64 { + return int64(binary.LittleEndian.Uint32(in)) +} + +func feFromBytes(dst *fieldElement, src *[32]byte) { + h0 := load4(src[:]) + h1 := load3(src[4:]) << 6 + h2 := load3(src[7:]) << 5 + h3 := load3(src[10:]) << 3 + h4 := load3(src[13:]) << 2 + h5 := load4(src[16:]) + h6 := load3(src[20:]) << 7 + h7 := load3(src[23:]) << 5 + h8 := load3(src[26:]) << 4 + h9 := load3(src[29:]) << 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/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519_test.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519_test.go new file mode 100644 index 0000000..051a830 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/curve25519_test.go @@ -0,0 +1,39 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package curve25519 + +import ( + "fmt" + "testing" +) + +const expectedHex = "89161fde887b2b53de549af483940106ecc114d6982daa98256de23bdf77661a" + +func TestBaseScalarMult(t *testing.T) { + var a, b [32]byte + in := &a + out := &b + a[0] = 1 + + for i := 0; i < 200; i++ { + ScalarBaseMult(out, in) + in, out = out, in + } + + result := fmt.Sprintf("%x", in[:]) + if result != expectedHex { + t.Errorf("incorrect result: got %s, want %s", result, expectedHex) + } +} + +func BenchmarkScalarBaseMult(b *testing.B) { + var in, out [32]byte + in[0] = 1 + + b.SetBytes(32) + for i := 0; i < b.N; i++ { + ScalarBaseMult(&out, &in) + } +} diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/doc.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/doc.go new file mode 100644 index 0000000..da9b10d --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/doc.go @@ -0,0 +1,23 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package curve25519 provides an implementation of scalar multiplication on +// the elliptic curve known as curve25519. See https://cr.yp.to/ecdh.html +package curve25519 // import "golang.org/x/crypto/curve25519" + +// basePoint is the x coordinate of the generator of the curve. +var basePoint = [32]byte{9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0} + +// ScalarMult sets dst to the product in*base where dst and base are the x +// coordinates of group points and all values are in little-endian form. +func ScalarMult(dst, in, base *[32]byte) { + scalarMult(dst, in, base) +} + +// ScalarBaseMult sets dst to the product in*base where dst and base are the x +// coordinates of group points, base is the standard generator and all values +// are in little-endian form. +func ScalarBaseMult(dst, in *[32]byte) { + ScalarMult(dst, in, &basePoint) +} diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s new file mode 100644 index 0000000..3908161 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/freeze_amd64.s @@ -0,0 +1,73 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +// +build amd64,!gccgo,!appengine + +#include "const_amd64.h" + +// func freeze(inout *[5]uint64) +TEXT ·freeze(SB),7,$0-8 + MOVQ inout+0(FP), DI + + MOVQ 0(DI),SI + MOVQ 8(DI),DX + MOVQ 16(DI),CX + MOVQ 24(DI),R8 + MOVQ 32(DI),R9 + MOVQ $REDMASK51,AX + MOVQ AX,R10 + SUBQ $18,R10 + MOVQ $3,R11 +REDUCELOOP: + MOVQ SI,R12 + SHRQ $51,R12 + ANDQ AX,SI + ADDQ R12,DX + MOVQ DX,R12 + SHRQ $51,R12 + ANDQ AX,DX + ADDQ R12,CX + MOVQ CX,R12 + SHRQ $51,R12 + ANDQ AX,CX + ADDQ R12,R8 + MOVQ R8,R12 + SHRQ $51,R12 + ANDQ AX,R8 + ADDQ R12,R9 + MOVQ R9,R12 + SHRQ $51,R12 + ANDQ AX,R9 + IMUL3Q $19,R12,R12 + ADDQ R12,SI + SUBQ $1,R11 + JA REDUCELOOP + MOVQ $1,R12 + CMPQ R10,SI + CMOVQLT R11,R12 + CMPQ AX,DX + CMOVQNE R11,R12 + CMPQ AX,CX + CMOVQNE R11,R12 + CMPQ AX,R8 + CMOVQNE R11,R12 + CMPQ AX,R9 + CMOVQNE R11,R12 + NEGQ R12 + ANDQ R12,AX + ANDQ R12,R10 + SUBQ R10,SI + SUBQ AX,DX + SUBQ AX,CX + SUBQ AX,R8 + SUBQ AX,R9 + MOVQ SI,0(DI) + MOVQ DX,8(DI) + MOVQ CX,16(DI) + MOVQ R8,24(DI) + MOVQ R9,32(DI) + RET diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s new file mode 100644 index 0000000..9e9040b --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/ladderstep_amd64.s @@ -0,0 +1,1377 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +// +build amd64,!gccgo,!appengine + +#include "const_amd64.h" + +// func ladderstep(inout *[5][5]uint64) +TEXT ·ladderstep(SB),0,$296-8 + MOVQ inout+0(FP),DI + + MOVQ 40(DI),SI + MOVQ 48(DI),DX + MOVQ 56(DI),CX + MOVQ 64(DI),R8 + MOVQ 72(DI),R9 + MOVQ SI,AX + MOVQ DX,R10 + MOVQ CX,R11 + MOVQ R8,R12 + MOVQ R9,R13 + ADDQ ·_2P0(SB),AX + ADDQ ·_2P1234(SB),R10 + ADDQ ·_2P1234(SB),R11 + ADDQ ·_2P1234(SB),R12 + ADDQ ·_2P1234(SB),R13 + ADDQ 80(DI),SI + ADDQ 88(DI),DX + ADDQ 96(DI),CX + ADDQ 104(DI),R8 + ADDQ 112(DI),R9 + SUBQ 80(DI),AX + SUBQ 88(DI),R10 + SUBQ 96(DI),R11 + SUBQ 104(DI),R12 + SUBQ 112(DI),R13 + 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 40(SP),AX + SHLQ $1,AX + MULQ 48(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 40(SP),AX + SHLQ $1,AX + MULQ 56(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 40(SP),AX + SHLQ $1,AX + MULQ 64(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 40(SP),AX + SHLQ $1,AX + MULQ 72(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 48(SP),AX + MULQ 48(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 48(SP),AX + SHLQ $1,AX + MULQ 56(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 48(SP),AX + SHLQ $1,AX + MULQ 64(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 48(SP),DX + IMUL3Q $38,DX,AX + MULQ 72(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 56(SP),AX + MULQ 56(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 72(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 72(SP),DX + IMUL3Q $19,DX,AX + MULQ 72(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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,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,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 + MOVQ AX,R8 + MOVQ R10,R9 + ADDQ ·_2P0(SB),SI + ADDQ ·_2P1234(SB),DX + ADDQ ·_2P1234(SB),CX + ADDQ ·_2P1234(SB),R8 + ADDQ ·_2P1234(SB),R9 + 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 + MOVQ 144(DI),R8 + MOVQ 152(DI),R9 + MOVQ SI,AX + MOVQ DX,R10 + MOVQ CX,R11 + MOVQ R8,R12 + MOVQ R9,R13 + ADDQ ·_2P0(SB),AX + ADDQ ·_2P1234(SB),R10 + ADDQ ·_2P1234(SB),R11 + ADDQ ·_2P1234(SB),R12 + ADDQ ·_2P1234(SB),R13 + ADDQ 160(DI),SI + ADDQ 168(DI),DX + ADDQ 176(DI),CX + ADDQ 184(DI),R8 + ADDQ 192(DI),R9 + SUBQ 160(DI),AX + SUBQ 168(DI),R10 + SUBQ 176(DI),R11 + SUBQ 184(DI),R12 + SUBQ 192(DI),R13 + 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,280(SP) + MULQ 56(SP) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 232(SP),DX + IMUL3Q $19,DX,AX + MOVQ AX,288(SP) + MULQ 48(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 200(SP),AX + MULQ 40(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 200(SP),AX + MULQ 48(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 200(SP),AX + MULQ 56(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 200(SP),AX + MULQ 64(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 200(SP),AX + MULQ 72(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 208(SP),AX + MULQ 40(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 208(SP),AX + MULQ 48(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 208(SP),AX + MULQ 56(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 208(SP),AX + MULQ 64(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 208(SP),DX + IMUL3Q $19,DX,AX + MULQ 72(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 216(SP),AX + MULQ 40(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 216(SP),AX + MULQ 48(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 216(SP),AX + MULQ 56(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 216(SP),DX + IMUL3Q $19,DX,AX + MULQ 64(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 216(SP),DX + IMUL3Q $19,DX,AX + 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 72(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 232(SP),AX + MULQ 40(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 288(SP),AX + MULQ 56(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 288(SP),AX + MULQ 64(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 288(SP),AX + MULQ 72(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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 + MOVQ CX,R8 + SHRQ $51,CX + ANDQ DX,SI + ADDQ R10,CX + MOVQ CX,R9 + SHRQ $51,CX + ANDQ DX,R8 + ADDQ R12,CX + MOVQ CX,AX + SHRQ $51,CX + ANDQ DX,R9 + ADDQ R14,CX + MOVQ CX,R10 + SHRQ $51,CX + ANDQ DX,AX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + 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,200(SP) + MULQ 16(SP) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 272(SP),DX + IMUL3Q $19,DX,AX + MOVQ AX,208(SP) + MULQ 8(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 240(SP),AX + MULQ 0(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 240(SP),AX + MULQ 8(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 240(SP),AX + MULQ 16(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 240(SP),AX + MULQ 24(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 240(SP),AX + MULQ 32(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 248(SP),AX + MULQ 0(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 248(SP),AX + MULQ 8(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 248(SP),AX + MULQ 16(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 248(SP),AX + MULQ 24(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 248(SP),DX + IMUL3Q $19,DX,AX + MULQ 32(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 256(SP),AX + MULQ 0(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 256(SP),AX + MULQ 8(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 256(SP),AX + MULQ 16(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 256(SP),DX + IMUL3Q $19,DX,AX + MULQ 24(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 256(SP),DX + IMUL3Q $19,DX,AX + MULQ 32(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 264(SP),AX + MULQ 0(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 264(SP),AX + MULQ 8(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 200(SP),AX + MULQ 24(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 200(SP),AX + MULQ 32(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 272(SP),AX + MULQ 0(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 208(SP),AX + MULQ 16(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 208(SP),AX + MULQ 24(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 208(SP),AX + MULQ 32(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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 + MOVQ CX,R8 + SHRQ $51,CX + ANDQ DX,SI + ADDQ R10,CX + MOVQ CX,R9 + SHRQ $51,CX + ANDQ DX,R8 + ADDQ R12,CX + MOVQ CX,AX + SHRQ $51,CX + ANDQ DX,R9 + ADDQ R14,CX + MOVQ CX,R10 + SHRQ $51,CX + ANDQ DX,AX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + MOVQ SI,DX + MOVQ R8,CX + MOVQ R9,R11 + MOVQ AX,R12 + MOVQ R10,R13 + ADDQ ·_2P0(SB),DX + ADDQ ·_2P1234(SB),CX + ADDQ ·_2P1234(SB),R11 + ADDQ ·_2P1234(SB),R12 + ADDQ ·_2P1234(SB),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) + MOVQ AX,144(DI) + MOVQ R10,152(DI) + MOVQ DX,160(DI) + MOVQ CX,168(DI) + MOVQ R11,176(DI) + MOVQ R12,184(DI) + MOVQ R13,192(DI) + MOVQ 120(DI),AX + MULQ 120(DI) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 120(DI),AX + SHLQ $1,AX + MULQ 128(DI) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 120(DI),AX + SHLQ $1,AX + MULQ 136(DI) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 120(DI),AX + SHLQ $1,AX + MULQ 144(DI) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 120(DI),AX + SHLQ $1,AX + MULQ 152(DI) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 128(DI),AX + MULQ 128(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 128(DI),AX + SHLQ $1,AX + MULQ 136(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 128(DI),AX + SHLQ $1,AX + MULQ 144(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 128(DI),DX + IMUL3Q $38,DX,AX + MULQ 152(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 136(DI),AX + MULQ 136(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 136(DI),DX + IMUL3Q $38,DX,AX + MULQ 144(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 136(DI),DX + IMUL3Q $38,DX,AX + MULQ 152(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 144(DI),DX + IMUL3Q $19,DX,AX + MULQ 144(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 144(DI),DX + IMUL3Q $38,DX,AX + MULQ 152(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 152(DI),DX + IMUL3Q $19,DX,AX + MULQ 152(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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(DI) + MOVQ R8,128(DI) + MOVQ R9,136(DI) + MOVQ AX,144(DI) + MOVQ R10,152(DI) + MOVQ 160(DI),AX + MULQ 160(DI) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 160(DI),AX + SHLQ $1,AX + MULQ 168(DI) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 160(DI),AX + SHLQ $1,AX + MULQ 176(DI) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 160(DI),AX + SHLQ $1,AX + MULQ 184(DI) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 160(DI),AX + SHLQ $1,AX + MULQ 192(DI) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 168(DI),AX + MULQ 168(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 168(DI),AX + SHLQ $1,AX + MULQ 176(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 168(DI),AX + SHLQ $1,AX + MULQ 184(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 168(DI),DX + IMUL3Q $38,DX,AX + MULQ 192(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 176(DI),AX + MULQ 176(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 176(DI),DX + IMUL3Q $38,DX,AX + MULQ 184(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 176(DI),DX + IMUL3Q $38,DX,AX + MULQ 192(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 184(DI),DX + IMUL3Q $19,DX,AX + MULQ 184(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 184(DI),DX + IMUL3Q $38,DX,AX + MULQ 192(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 192(DI),DX + IMUL3Q $19,DX,AX + MULQ 192(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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,160(DI) + MOVQ R8,168(DI) + MOVQ R9,176(DI) + MOVQ AX,184(DI) + MOVQ R10,192(DI) + MOVQ 184(DI),SI + IMUL3Q $19,SI,AX + MOVQ AX,0(SP) + MULQ 16(DI) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 192(DI),DX + IMUL3Q $19,DX,AX + MOVQ AX,8(SP) + MULQ 8(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 160(DI),AX + MULQ 0(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 160(DI),AX + MULQ 8(DI) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 160(DI),AX + MULQ 16(DI) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 160(DI),AX + MULQ 24(DI) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 160(DI),AX + MULQ 32(DI) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 168(DI),AX + MULQ 0(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 168(DI),AX + MULQ 8(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 168(DI),AX + MULQ 16(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 168(DI),AX + MULQ 24(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 168(DI),DX + IMUL3Q $19,DX,AX + MULQ 32(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 176(DI),AX + MULQ 0(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 176(DI),AX + MULQ 8(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 176(DI),AX + MULQ 16(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 176(DI),DX + IMUL3Q $19,DX,AX + MULQ 24(DI) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 176(DI),DX + IMUL3Q $19,DX,AX + MULQ 32(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 184(DI),AX + MULQ 0(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 184(DI),AX + MULQ 8(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 0(SP),AX + MULQ 24(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 0(SP),AX + MULQ 32(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 192(DI),AX + MULQ 0(DI) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 8(SP),AX + MULQ 16(DI) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 8(SP),AX + MULQ 24(DI) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SP),AX + MULQ 32(DI) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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 + MOVQ CX,R8 + SHRQ $51,CX + ANDQ DX,SI + ADDQ R10,CX + MOVQ CX,R9 + SHRQ $51,CX + ANDQ DX,R8 + ADDQ R12,CX + MOVQ CX,AX + SHRQ $51,CX + ANDQ DX,R9 + ADDQ R14,CX + MOVQ CX,R10 + SHRQ $51,CX + ANDQ DX,AX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + MOVQ SI,160(DI) + MOVQ R8,168(DI) + MOVQ R9,176(DI) + MOVQ AX,184(DI) + MOVQ R10,192(DI) + MOVQ 144(SP),SI + IMUL3Q $19,SI,AX + MOVQ AX,0(SP) + MULQ 96(SP) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 152(SP),DX + IMUL3Q $19,DX,AX + MOVQ AX,8(SP) + MULQ 88(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 120(SP),AX + MULQ 80(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 120(SP),AX + MULQ 88(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 120(SP),AX + MULQ 96(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 120(SP),AX + MULQ 104(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 120(SP),AX + MULQ 112(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 128(SP),AX + MULQ 80(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 128(SP),AX + MULQ 88(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 128(SP),AX + MULQ 96(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 128(SP),AX + MULQ 104(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 128(SP),DX + IMUL3Q $19,DX,AX + MULQ 112(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 136(SP),AX + MULQ 80(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 136(SP),AX + MULQ 88(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 136(SP),AX + MULQ 96(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 136(SP),DX + IMUL3Q $19,DX,AX + MULQ 104(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 136(SP),DX + IMUL3Q $19,DX,AX + MULQ 112(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 144(SP),AX + MULQ 80(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 144(SP),AX + MULQ 88(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 0(SP),AX + MULQ 104(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 0(SP),AX + MULQ 112(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 152(SP),AX + MULQ 80(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 8(SP),AX + MULQ 96(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 8(SP),AX + MULQ 104(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SP),AX + MULQ 112(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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 + MOVQ CX,R8 + SHRQ $51,CX + ANDQ DX,SI + ADDQ R10,CX + MOVQ CX,R9 + SHRQ $51,CX + ANDQ DX,R8 + ADDQ R12,CX + MOVQ CX,AX + SHRQ $51,CX + ANDQ DX,R9 + ADDQ R14,CX + MOVQ CX,R10 + SHRQ $51,CX + ANDQ DX,AX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + MOVQ SI,40(DI) + MOVQ R8,48(DI) + MOVQ R9,56(DI) + MOVQ AX,64(DI) + MOVQ R10,72(DI) + MOVQ 160(SP),AX + MULQ ·_121666_213(SB) + SHRQ $13,AX + MOVQ AX,SI + MOVQ DX,CX + MOVQ 168(SP),AX + MULQ ·_121666_213(SB) + SHRQ $13,AX + ADDQ AX,CX + MOVQ DX,R8 + MOVQ 176(SP),AX + MULQ ·_121666_213(SB) + SHRQ $13,AX + ADDQ AX,R8 + MOVQ DX,R9 + MOVQ 184(SP),AX + MULQ ·_121666_213(SB) + SHRQ $13,AX + ADDQ AX,R9 + MOVQ DX,R10 + MOVQ 192(SP),AX + MULQ ·_121666_213(SB) + SHRQ $13,AX + ADDQ AX,R10 + IMUL3Q $19,DX,DX + ADDQ DX,SI + 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) + MOVQ R9,104(DI) + MOVQ R10,112(DI) + MOVQ 104(DI),SI + IMUL3Q $19,SI,AX + MOVQ AX,0(SP) + MULQ 176(SP) + MOVQ AX,SI + MOVQ DX,CX + MOVQ 112(DI),DX + IMUL3Q $19,DX,AX + MOVQ AX,8(SP) + MULQ 168(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 80(DI),AX + MULQ 160(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 80(DI),AX + MULQ 168(SP) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 80(DI),AX + MULQ 176(SP) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 80(DI),AX + MULQ 184(SP) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 80(DI),AX + MULQ 192(SP) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 88(DI),AX + MULQ 160(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 88(DI),AX + MULQ 168(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 88(DI),AX + MULQ 176(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 88(DI),AX + MULQ 184(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 88(DI),DX + IMUL3Q $19,DX,AX + MULQ 192(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 96(DI),AX + MULQ 160(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 96(DI),AX + MULQ 168(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 96(DI),AX + MULQ 176(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 96(DI),DX + IMUL3Q $19,DX,AX + MULQ 184(SP) + ADDQ AX,SI + ADCQ DX,CX + MOVQ 96(DI),DX + IMUL3Q $19,DX,AX + MULQ 192(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 104(DI),AX + MULQ 160(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 104(DI),AX + MULQ 168(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 0(SP),AX + MULQ 184(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 0(SP),AX + MULQ 192(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 112(DI),AX + MULQ 160(SP) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 8(SP),AX + MULQ 176(SP) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 8(SP),AX + MULQ 184(SP) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SP),AX + MULQ 192(SP) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ $REDMASK51,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 + MOVQ CX,R8 + SHRQ $51,CX + ANDQ DX,SI + ADDQ R10,CX + MOVQ CX,R9 + SHRQ $51,CX + ANDQ DX,R8 + ADDQ R12,CX + MOVQ CX,AX + SHRQ $51,CX + ANDQ DX,R9 + ADDQ R14,CX + MOVQ CX,R10 + SHRQ $51,CX + ANDQ DX,AX + IMUL3Q $19,CX,CX + ADDQ CX,SI + ANDQ DX,R10 + MOVQ SI,80(DI) + MOVQ R8,88(DI) + MOVQ R9,96(DI) + MOVQ AX,104(DI) + MOVQ R10,112(DI) + RET diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go new file mode 100644 index 0000000..5822bd5 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mont25519_amd64.go @@ -0,0 +1,240 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!gccgo,!appengine + +package curve25519 + +// These functions are implemented in the .s files. The names of the functions +// in the rest of the file are also taken from the SUPERCOP sources to help +// people following along. + +//go:noescape + +func cswap(inout *[5]uint64, v uint64) + +//go:noescape + +func ladderstep(inout *[5][5]uint64) + +//go:noescape + +func freeze(inout *[5]uint64) + +//go:noescape + +func mul(dest, a, b *[5]uint64) + +//go:noescape + +func square(out, in *[5]uint64) + +// mladder uses a Montgomery ladder to calculate (xr/zr) *= s. +func mladder(xr, zr *[5]uint64, s *[32]byte) { + var work [5][5]uint64 + + work[0] = *xr + setint(&work[1], 1) + setint(&work[2], 0) + work[3] = *xr + setint(&work[4], 1) + + j := uint(6) + var prevbit byte + + for i := 31; i >= 0; i-- { + for j < 8 { + bit := ((*s)[i] >> j) & 1 + swap := bit ^ prevbit + prevbit = bit + cswap(&work[1], uint64(swap)) + ladderstep(&work) + j-- + } + j = 7 + } + + *xr = work[1] + *zr = work[2] +} + +func scalarMult(out, in, base *[32]byte) { + var e [32]byte + copy(e[:], (*in)[:]) + e[0] &= 248 + e[31] &= 127 + e[31] |= 64 + + var t, z [5]uint64 + unpack(&t, base) + mladder(&t, &z, &e) + invert(&z, &z) + mul(&t, &t, &z) + pack(out, &t) +} + +func setint(r *[5]uint64, v uint64) { + r[0] = v + r[1] = 0 + r[2] = 0 + r[3] = 0 + r[4] = 0 +} + +// unpack sets r = x where r consists of 5, 51-bit limbs in little-endian +// order. +func unpack(r *[5]uint64, x *[32]byte) { + r[0] = uint64(x[0]) | + uint64(x[1])<<8 | + uint64(x[2])<<16 | + uint64(x[3])<<24 | + uint64(x[4])<<32 | + uint64(x[5])<<40 | + uint64(x[6]&7)<<48 + + r[1] = uint64(x[6])>>3 | + uint64(x[7])<<5 | + uint64(x[8])<<13 | + uint64(x[9])<<21 | + uint64(x[10])<<29 | + uint64(x[11])<<37 | + uint64(x[12]&63)<<45 + + r[2] = uint64(x[12])>>6 | + uint64(x[13])<<2 | + uint64(x[14])<<10 | + uint64(x[15])<<18 | + uint64(x[16])<<26 | + uint64(x[17])<<34 | + uint64(x[18])<<42 | + uint64(x[19]&1)<<50 + + r[3] = uint64(x[19])>>1 | + uint64(x[20])<<7 | + uint64(x[21])<<15 | + uint64(x[22])<<23 | + uint64(x[23])<<31 | + uint64(x[24])<<39 | + uint64(x[25]&15)<<47 + + r[4] = uint64(x[25])>>4 | + uint64(x[26])<<4 | + uint64(x[27])<<12 | + uint64(x[28])<<20 | + uint64(x[29])<<28 | + uint64(x[30])<<36 | + uint64(x[31]&127)<<44 +} + +// pack sets out = x where out is the usual, little-endian form of the 5, +// 51-bit limbs in x. +func pack(out *[32]byte, x *[5]uint64) { + t := *x + freeze(&t) + + out[0] = byte(t[0]) + out[1] = byte(t[0] >> 8) + out[2] = byte(t[0] >> 16) + out[3] = byte(t[0] >> 24) + out[4] = byte(t[0] >> 32) + out[5] = byte(t[0] >> 40) + out[6] = byte(t[0] >> 48) + + out[6] ^= byte(t[1]<<3) & 0xf8 + out[7] = byte(t[1] >> 5) + out[8] = byte(t[1] >> 13) + out[9] = byte(t[1] >> 21) + out[10] = byte(t[1] >> 29) + out[11] = byte(t[1] >> 37) + out[12] = byte(t[1] >> 45) + + out[12] ^= byte(t[2]<<6) & 0xc0 + out[13] = byte(t[2] >> 2) + out[14] = byte(t[2] >> 10) + out[15] = byte(t[2] >> 18) + out[16] = byte(t[2] >> 26) + out[17] = byte(t[2] >> 34) + out[18] = byte(t[2] >> 42) + out[19] = byte(t[2] >> 50) + + out[19] ^= byte(t[3]<<1) & 0xfe + out[20] = byte(t[3] >> 7) + out[21] = byte(t[3] >> 15) + out[22] = byte(t[3] >> 23) + out[23] = byte(t[3] >> 31) + out[24] = byte(t[3] >> 39) + out[25] = byte(t[3] >> 47) + + out[25] ^= byte(t[4]<<4) & 0xf0 + out[26] = byte(t[4] >> 4) + out[27] = byte(t[4] >> 12) + out[28] = byte(t[4] >> 20) + out[29] = byte(t[4] >> 28) + out[30] = byte(t[4] >> 36) + out[31] = byte(t[4] >> 44) +} + +// invert calculates r = x^-1 mod p using Fermat's little theorem. +func invert(r *[5]uint64, x *[5]uint64) { + var z2, z9, z11, z2_5_0, z2_10_0, z2_20_0, z2_50_0, z2_100_0, t [5]uint64 + + square(&z2, x) /* 2 */ + square(&t, &z2) /* 4 */ + square(&t, &t) /* 8 */ + mul(&z9, &t, x) /* 9 */ + mul(&z11, &z9, &z2) /* 11 */ + square(&t, &z11) /* 22 */ + mul(&z2_5_0, &t, &z9) /* 2^5 - 2^0 = 31 */ + + square(&t, &z2_5_0) /* 2^6 - 2^1 */ + for i := 1; i < 5; i++ { /* 2^20 - 2^10 */ + square(&t, &t) + } + mul(&z2_10_0, &t, &z2_5_0) /* 2^10 - 2^0 */ + + square(&t, &z2_10_0) /* 2^11 - 2^1 */ + for i := 1; i < 10; i++ { /* 2^20 - 2^10 */ + square(&t, &t) + } + mul(&z2_20_0, &t, &z2_10_0) /* 2^20 - 2^0 */ + + square(&t, &z2_20_0) /* 2^21 - 2^1 */ + for i := 1; i < 20; i++ { /* 2^40 - 2^20 */ + square(&t, &t) + } + mul(&t, &t, &z2_20_0) /* 2^40 - 2^0 */ + + square(&t, &t) /* 2^41 - 2^1 */ + for i := 1; i < 10; i++ { /* 2^50 - 2^10 */ + square(&t, &t) + } + mul(&z2_50_0, &t, &z2_10_0) /* 2^50 - 2^0 */ + + square(&t, &z2_50_0) /* 2^51 - 2^1 */ + for i := 1; i < 50; i++ { /* 2^100 - 2^50 */ + square(&t, &t) + } + mul(&z2_100_0, &t, &z2_50_0) /* 2^100 - 2^0 */ + + square(&t, &z2_100_0) /* 2^101 - 2^1 */ + for i := 1; i < 100; i++ { /* 2^200 - 2^100 */ + square(&t, &t) + } + mul(&t, &t, &z2_100_0) /* 2^200 - 2^0 */ + + square(&t, &t) /* 2^201 - 2^1 */ + for i := 1; i < 50; i++ { /* 2^250 - 2^50 */ + square(&t, &t) + } + mul(&t, &t, &z2_50_0) /* 2^250 - 2^0 */ + + square(&t, &t) /* 2^251 - 2^1 */ + square(&t, &t) /* 2^252 - 2^2 */ + square(&t, &t) /* 2^253 - 2^3 */ + + square(&t, &t) /* 2^254 - 2^4 */ + + square(&t, &t) /* 2^255 - 2^5 */ + mul(r, &t, &z11) /* 2^255 - 21 */ +} diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mul_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mul_amd64.s new file mode 100644 index 0000000..5ce80a2 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/mul_amd64.s @@ -0,0 +1,169 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +// +build amd64,!gccgo,!appengine + +#include "const_amd64.h" + +// func mul(dest, a, b *[5]uint64) +TEXT ·mul(SB),0,$16-24 + MOVQ dest+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), DX + + MOVQ DX,CX + MOVQ 24(SI),DX + IMUL3Q $19,DX,AX + MOVQ AX,0(SP) + MULQ 16(CX) + MOVQ AX,R8 + MOVQ DX,R9 + MOVQ 32(SI),DX + IMUL3Q $19,DX,AX + MOVQ AX,8(SP) + MULQ 8(CX) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 0(SI),AX + MULQ 0(CX) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 0(SI),AX + MULQ 8(CX) + MOVQ AX,R10 + MOVQ DX,R11 + MOVQ 0(SI),AX + MULQ 16(CX) + MOVQ AX,R12 + MOVQ DX,R13 + MOVQ 0(SI),AX + MULQ 24(CX) + MOVQ AX,R14 + MOVQ DX,R15 + MOVQ 0(SI),AX + MULQ 32(CX) + MOVQ AX,BX + MOVQ DX,BP + MOVQ 8(SI),AX + MULQ 0(CX) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SI),AX + MULQ 8(CX) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 8(SI),AX + MULQ 16(CX) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 8(SI),AX + MULQ 24(CX) + ADDQ AX,BX + ADCQ DX,BP + MOVQ 8(SI),DX + IMUL3Q $19,DX,AX + MULQ 32(CX) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 16(SI),AX + MULQ 0(CX) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 16(SI),AX + MULQ 8(CX) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 16(SI),AX + MULQ 16(CX) + ADDQ AX,BX + ADCQ DX,BP + MOVQ 16(SI),DX + IMUL3Q $19,DX,AX + MULQ 24(CX) + ADDQ AX,R8 + ADCQ DX,R9 + MOVQ 16(SI),DX + IMUL3Q $19,DX,AX + MULQ 32(CX) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 24(SI),AX + MULQ 0(CX) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ 24(SI),AX + MULQ 8(CX) + ADDQ AX,BX + ADCQ DX,BP + MOVQ 0(SP),AX + MULQ 24(CX) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 0(SP),AX + MULQ 32(CX) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 32(SI),AX + MULQ 0(CX) + ADDQ AX,BX + ADCQ DX,BP + MOVQ 8(SP),AX + MULQ 16(CX) + ADDQ AX,R10 + ADCQ DX,R11 + MOVQ 8(SP),AX + MULQ 24(CX) + ADDQ AX,R12 + ADCQ DX,R13 + MOVQ 8(SP),AX + MULQ 32(CX) + ADDQ AX,R14 + ADCQ DX,R15 + MOVQ $REDMASK51,SI + SHLQ $13,R9:R8 + ANDQ SI,R8 + SHLQ $13,R11:R10 + ANDQ SI,R10 + ADDQ R9,R10 + SHLQ $13,R13:R12 + ANDQ SI,R12 + ADDQ R11,R12 + SHLQ $13,R15:R14 + ANDQ SI,R14 + ADDQ R13,R14 + SHLQ $13,BP:BX + ANDQ SI,BX + ADDQ R15,BX + IMUL3Q $19,BP,DX + ADDQ DX,R8 + MOVQ R8,DX + SHRQ $51,DX + ADDQ R10,DX + MOVQ DX,CX + SHRQ $51,DX + ANDQ SI,R8 + ADDQ R12,DX + MOVQ DX,R9 + SHRQ $51,DX + ANDQ SI,CX + ADDQ R14,DX + MOVQ DX,AX + SHRQ $51,DX + ANDQ SI,R9 + ADDQ BX,DX + MOVQ DX,R10 + SHRQ $51,DX + ANDQ SI,AX + IMUL3Q $19,DX,DX + ADDQ DX,R8 + ANDQ SI,R10 + MOVQ R8,0(DI) + MOVQ CX,8(DI) + MOVQ R9,16(DI) + MOVQ AX,24(DI) + MOVQ R10,32(DI) + RET diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/square_amd64.s b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/square_amd64.s new file mode 100644 index 0000000..12f7373 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/curve25519/square_amd64.s @@ -0,0 +1,132 @@ +// Copyright 2012 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This code was translated into a form compatible with 6a from the public +// domain sources in SUPERCOP: https://bench.cr.yp.to/supercop.html + +// +build amd64,!gccgo,!appengine + +#include "const_amd64.h" + +// func square(out, in *[5]uint64) +TEXT ·square(SB),7,$0-16 + MOVQ out+0(FP), DI + MOVQ in+8(FP), SI + + MOVQ 0(SI),AX + MULQ 0(SI) + MOVQ AX,CX + MOVQ DX,R8 + MOVQ 0(SI),AX + SHLQ $1,AX + MULQ 8(SI) + MOVQ AX,R9 + MOVQ DX,R10 + MOVQ 0(SI),AX + SHLQ $1,AX + MULQ 16(SI) + MOVQ AX,R11 + MOVQ DX,R12 + MOVQ 0(SI),AX + SHLQ $1,AX + MULQ 24(SI) + MOVQ AX,R13 + MOVQ DX,R14 + MOVQ 0(SI),AX + SHLQ $1,AX + MULQ 32(SI) + MOVQ AX,R15 + MOVQ DX,BX + MOVQ 8(SI),AX + MULQ 8(SI) + ADDQ AX,R11 + ADCQ DX,R12 + MOVQ 8(SI),AX + SHLQ $1,AX + MULQ 16(SI) + ADDQ AX,R13 + ADCQ DX,R14 + MOVQ 8(SI),AX + SHLQ $1,AX + MULQ 24(SI) + ADDQ AX,R15 + ADCQ DX,BX + MOVQ 8(SI),DX + IMUL3Q $38,DX,AX + MULQ 32(SI) + ADDQ AX,CX + ADCQ DX,R8 + MOVQ 16(SI),AX + MULQ 16(SI) + ADDQ AX,R15 + ADCQ DX,BX + MOVQ 16(SI),DX + IMUL3Q $38,DX,AX + MULQ 24(SI) + ADDQ AX,CX + ADCQ DX,R8 + MOVQ 16(SI),DX + IMUL3Q $38,DX,AX + MULQ 32(SI) + ADDQ AX,R9 + ADCQ DX,R10 + MOVQ 24(SI),DX + IMUL3Q $19,DX,AX + MULQ 24(SI) + ADDQ AX,R9 + ADCQ DX,R10 + MOVQ 24(SI),DX + IMUL3Q $38,DX,AX + MULQ 32(SI) + ADDQ AX,R11 + ADCQ DX,R12 + MOVQ 32(SI),DX + IMUL3Q $19,DX,AX + MULQ 32(SI) + ADDQ AX,R13 + ADCQ DX,R14 + MOVQ $REDMASK51,SI + SHLQ $13,R8:CX + ANDQ SI,CX + SHLQ $13,R10:R9 + ANDQ SI,R9 + ADDQ R8,R9 + SHLQ $13,R12:R11 + ANDQ SI,R11 + ADDQ R10,R11 + SHLQ $13,R14:R13 + ANDQ SI,R13 + ADDQ R12,R13 + SHLQ $13,BX:R15 + ANDQ SI,R15 + ADDQ R14,R15 + IMUL3Q $19,BX,DX + ADDQ DX,CX + MOVQ CX,DX + SHRQ $51,DX + ADDQ R9,DX + ANDQ SI,CX + MOVQ DX,R8 + SHRQ $51,DX + ADDQ R11,DX + ANDQ SI,R8 + MOVQ DX,R9 + SHRQ $51,DX + ADDQ R13,DX + ANDQ SI,R9 + MOVQ DX,AX + SHRQ $51,DX + ADDQ R15,DX + ANDQ SI,AX + MOVQ DX,R10 + SHRQ $51,DX + IMUL3Q $19,DX,DX + ADDQ DX,CX + ANDQ SI,R10 + MOVQ CX,0(DI) + MOVQ R8,8(DI) + MOVQ R9,16(DI) + MOVQ AX,24(DI) + MOVQ R10,32(DI) + RET diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/ed25519.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/ed25519.go new file mode 100644 index 0000000..16cd385 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/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 +// https://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 ( + "bytes" + "crypto" + cryptorand "crypto/rand" + "crypto/sha512" + "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 bytes.Equal(sig[:32], checkR[:]) +} diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/ed25519_test.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/ed25519_test.go new file mode 100644 index 0000000..e272f8a --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/ed25519_test.go @@ -0,0 +1,183 @@ +// 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 + +import ( + "bufio" + "bytes" + "compress/gzip" + "crypto" + "crypto/rand" + "encoding/hex" + "os" + "strings" + "testing" + + "golang.org/x/crypto/ed25519/internal/edwards25519" +) + +type zeroReader struct{} + +func (zeroReader) Read(buf []byte) (int, error) { + for i := range buf { + buf[i] = 0 + } + return len(buf), nil +} + +func TestUnmarshalMarshal(t *testing.T) { + pub, _, _ := GenerateKey(rand.Reader) + + var A edwards25519.ExtendedGroupElement + var pubBytes [32]byte + copy(pubBytes[:], pub) + if !A.FromBytes(&pubBytes) { + t.Fatalf("ExtendedGroupElement.FromBytes failed") + } + + var pub2 [32]byte + A.ToBytes(&pub2) + + if pubBytes != pub2 { + t.Errorf("FromBytes(%v)->ToBytes does not round-trip, got %x\n", pubBytes, pub2) + } +} + +func TestSignVerify(t *testing.T) { + var zero zeroReader + public, private, _ := GenerateKey(zero) + + message := []byte("test message") + sig := Sign(private, message) + if !Verify(public, message, sig) { + t.Errorf("valid signature rejected") + } + + wrongMessage := []byte("wrong message") + if Verify(public, wrongMessage, sig) { + t.Errorf("signature of different message accepted") + } +} + +func TestCryptoSigner(t *testing.T) { + var zero zeroReader + public, private, _ := GenerateKey(zero) + + signer := crypto.Signer(private) + + publicInterface := signer.Public() + public2, ok := publicInterface.(PublicKey) + if !ok { + t.Fatalf("expected PublicKey from Public() but got %T", publicInterface) + } + + if !bytes.Equal(public, public2) { + t.Errorf("public keys do not match: original:%x vs Public():%x", public, public2) + } + + message := []byte("message") + var noHash crypto.Hash + signature, err := signer.Sign(zero, message, noHash) + if err != nil { + t.Fatalf("error from Sign(): %s", err) + } + + if !Verify(public, message, signature) { + t.Errorf("Verify failed on signature from Sign()") + } +} + +func TestGolden(t *testing.T) { + // sign.input.gz is a selection of test cases from + // https://ed25519.cr.yp.to/python/sign.input + testDataZ, err := os.Open("testdata/sign.input.gz") + if err != nil { + t.Fatal(err) + } + defer testDataZ.Close() + testData, err := gzip.NewReader(testDataZ) + if err != nil { + t.Fatal(err) + } + defer testData.Close() + + scanner := bufio.NewScanner(testData) + lineNo := 0 + + for scanner.Scan() { + lineNo++ + + line := scanner.Text() + parts := strings.Split(line, ":") + if len(parts) != 5 { + t.Fatalf("bad number of parts on line %d", lineNo) + } + + privBytes, _ := hex.DecodeString(parts[0]) + pubKey, _ := hex.DecodeString(parts[1]) + msg, _ := hex.DecodeString(parts[2]) + sig, _ := hex.DecodeString(parts[3]) + // The signatures in the test vectors also include the message + // at the end, but we just want R and S. + sig = sig[:SignatureSize] + + if l := len(pubKey); l != PublicKeySize { + t.Fatalf("bad public key length on line %d: got %d bytes", lineNo, l) + } + + var priv [PrivateKeySize]byte + copy(priv[:], privBytes) + copy(priv[32:], pubKey) + + sig2 := Sign(priv[:], msg) + if !bytes.Equal(sig, sig2[:]) { + t.Errorf("different signature result on line %d: %x vs %x", lineNo, sig, sig2) + } + + if !Verify(pubKey, msg, sig2) { + t.Errorf("signature failed to verify on line %d", lineNo) + } + } + + if err := scanner.Err(); err != nil { + t.Fatalf("error reading test data: %s", err) + } +} + +func BenchmarkKeyGeneration(b *testing.B) { + var zero zeroReader + for i := 0; i < b.N; i++ { + if _, _, err := GenerateKey(zero); err != nil { + b.Fatal(err) + } + } +} + +func BenchmarkSigning(b *testing.B) { + var zero zeroReader + _, priv, err := GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + b.ResetTimer() + for i := 0; i < b.N; i++ { + Sign(priv, message) + } +} + +func BenchmarkVerification(b *testing.B) { + var zero zeroReader + pub, priv, err := GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + signature := Sign(priv, message) + b.ResetTimer() + for i := 0; i < b.N; i++ { + Verify(pub, message, signature) + } +} diff --git a/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go new file mode 100644 index 0000000..e39f086 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/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, -19188627, -15224819, -9818940, -12085777}, + FieldElement{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737}, + FieldElement{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652}, + }, + { + 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{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726}, + FieldElement{-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955}, + FieldElement{27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425}, + }, + }, + { + { + FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171}, + FieldElement{27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510}, + FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660}, + }, + { + FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639}, + FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963}, + FieldElement{5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950}, + }, + { + FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568}, + FieldElement{12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335}, + FieldElement{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628}, + }, + { + FieldElement{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007}, + FieldElement{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772}, + FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653}, + }, + { + FieldElement{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567}, + FieldElement{13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686}, + FieldElement{21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372}, + }, + { + FieldElement{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887}, + FieldElement{-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954}, + FieldElement{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953}, + }, + { + FieldElement{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833}, + FieldElement{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532}, + FieldElement{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876}, + }, + { + FieldElement{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268}, + FieldElement{33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214}, + FieldElement{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038}, + }, + }, + { + { + FieldElement{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800}, + FieldElement{4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645}, + FieldElement{-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664}, + }, + { + FieldElement{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933}, + FieldElement{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182}, + FieldElement{-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222}, + }, + { + FieldElement{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991}, + FieldElement{20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880}, + FieldElement{9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092}, + }, + { + FieldElement{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295}, + FieldElement{19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788}, + FieldElement{8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553}, + }, + { + FieldElement{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026}, + FieldElement{11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347}, + FieldElement{-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033}, + }, + { + FieldElement{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395}, + FieldElement{-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278}, + FieldElement{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890}, + }, + { + FieldElement{32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995}, + FieldElement{-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596}, + FieldElement{-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891}, + }, + { + FieldElement{31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060}, + FieldElement{11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608}, + FieldElement{-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606}, + }, + }, + { + { + FieldElement{7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389}, + FieldElement{-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016}, + FieldElement{-11295600, 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-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/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go new file mode 100644 index 0000000..5f8b994 --- /dev/null +++ b/contrib/backends/srndv2/src/srnd/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/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/testdata/sign.input.gz b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/testdata/sign.input.gz new file mode 100644 index 0000000..4103069 Binary files /dev/null and b/contrib/backends/srndv2/src/srnd/vendor/golang.org/x/crypto/ed25519/testdata/sign.input.gz differ